50 Must Solve Case Based Data

Interpretation Sets

50 Must Solve Case Based DI Sets

SET 1 National Institute of Management Studies (NIMS) conducts its entrance test called National Admission Test (NAT) for admission to its flagship two-year MBA course The QA section of NAT-2018 had 34 questions all of which were multiple choice format questions The following was the marking scheme for NAT-2018 I Each correct answer fetched 12 marks There was negative marking for incorrect answers For each incorrect answer four marks were deducted from the score of a student II Additionally there was a progressive penalty for skipped questions as specified in the table below

For example a student who skipped 6 questions lost 0 times 4 + 1 times (6 ndash 4) = 2 marks on account of these 6 skipped questions Similarly a student who skipped 18 questions lost 0 times 4 + 1 times 4 + 2 times 4 + 3 times 4 + 4 times 2 = 32 marks on account of these 18 skipped questions III The exam is computerized and the questions are presented to students one at a time Once a student sees the question heshe has only two options before seeing the next question either attempt the question or skip the question After a student attemptsskips a question the next question is presented and heshe is not able to revisit the questions that are already attemptedskipped IV All the questions that a student is unable to answer in the stipulated time of one hour are considered to be lsquoskippedrsquo by the student For example if a student is able to answer only 30 questions in the section at the end of one hour the remaining 4 questions in the section are considered to be skipped by the student V Cumulative score of a student at the end of each question (considering the penalty on account of incorrect and skipped questions) is calculated For example if a student gets one answer correct one answer incorrect and skips one question out of the first three hisher cumulative score at the end of the 3rd question will be 12 ndash 4 ndash 0 = 8 Similarly the total score of a student at the end of the stipulated time is calculated after deducting the marks on account of penalty for the questions that were not visited by the student (and hence were considered to be skipped)

1 Which of the following cannot be a valid cumulative score that a student could have

obtained at the end of 10 questions in that section A43 B34 C27 D30

2 Which of the following can be a valid score that a student could have obtained in the section if it is known that heshe attempted 28 questions in the section A62 B74 C86 D98

3 It is known that a student scored exactly 100 marks in the section What can be the maximum number of questions that the student could have attempted (either correctly or incorrectly) in the section (Write 35 if it is not possible to score 100 marks in the section)

4 It is known that a student scored exactly 100 marks in the section What can be the minimum number of questions that a student could have attempted (either correctly or incorrectly) in the section (Write 35 if it is not possible to score 100 marks in the section) SET 2 Adam and Paco together play a game In each round of the game each of them wagers $1 Game-master Gogo tosses an unbiased six faced die and the result is decided as follows For Adam If the number is 2 or less he loses the $1 he had wagered If the number is 5 or more he gains $1 Otherwise he has no gain or loss For Paco If the number is a perfect square he loses $1 If the number is divisible by 3 he gains $1 Otherwise he has no gain or loss Example If the die shows number 1 both the players give $1 to Gogo If the die shows number 5 Gogo gives $1 only to Adam

5 If both Adam and Paco initially have $5 and after exactly 5 rounds both have lost all the money they initially had then what could be the sum of the numbers rolled in the 5 rounds A5 B7 C10 D15

6 If both Adam and Paco start the game with equal amounts with them and play three rounds then what is the maximum possible difference between the amounts with them at the end given that the numbers rolled in all three rounds were different A $4 B $3 C $2 D $1

7 If both Adam and Paco start the game with $10 and after four rounds the amounts with Adam and Paco are $13 and $12 respectively then the sum of the numbers rolled in the four rounds is A19 B20 C22 D Cannot be determined

8 If both Adam and Paco start the game with $5 and at the end of three rounds Adam had exactly twice as much amount as Paco had that time then which of the following cannot be true A Adam did not gain in any of the rounds B Adam gained in all three rounds C Adam gained in exactly one round D None of these

SET 3 In the year 2017 there are lsquoXrsquo number of people working in a factory out of which 4545 are women The people working in the factory are further classified into three sections namely Workers Officers and Executives in the ratio 3 5 1 respectively

9 Which of the following can be a possible value of lsquoXrsquo A4500 B4950 C5500 D5950

10 Which of the following can be a possible value of lsquoXrsquo If in 2017 the number of men and women is same for any two out of the three sections what could be the minimum percentage of women present in a particular section (Use the value of X obtained in the previous question) A777 B909 C3636 D4182

11 If out of the total number of Officers 60 are men then what is the ratio of the total number of workers to the total number woman Officers A1 2 B2 1 C3 2 D Cannot be determined

12 In the year 2018 if only the number of men working in the factory increase by 20 over 2017 The ratio of Workers Officers and Executives remains same as 3 5 1 What is the ratio of the total number of Workers in the year 2018 to the total number of Officers in year 2017 A183 275 B275 183 C1 3 D3 1 SET 4 24000 people live in Siddhivinayak residential complex The people living in the complex can be either males or females Similarly the people living in the complex can be classified as vegetarians or non-vegetarians It is known that there are 6600 female adults residing in the complex Following information is known 1 The number of male adult vegetarians is twice the number of male children 2 40 of total children are non-vegetarian male children 3 The number of female children is 25 less than male children And half of the female children are vegetarian 4 (16)th of female adults are vegetarian 5 Non-vegetarian male adults are twice of vegetarian male children

13 What is the ratio of non-vegetarian male children to vegetarian male adults A7 4 B5 3 C7 20 D5 13

14 How many male adults are non-vegetarians 15 What is the difference between total male and female population 16 What percentage of total adults are vegetarian

A3838 B4242 C5353 D6767

SET 5

Institute of Management Bangalore (IMB) conducted its entrance test called Admission Test (AT) for the admission to its MBA course The test had three sections with five questions each In each section Q1 to Q4 were lsquoMultiple Choice Questionsrsquo (MCQ) with four options each (options were a b c and d) out of which only one was correct In each section Q5 was lsquoType In - The Answerrsquo (TITA) question for which no options were given and students were expected to type in their answer in the textbox provided Each correct answer fetched three marks while there was a penalty of one mark for incorrect answers on MCQ questions and there was no penalty for incorrect answers on TITA questions or unattempted questions After the exam three coaching institutes P Q and R published their answer keys for the questions in AT Later IMB also published the official answer keys for the questions in AT Following were the answer keys of the three coaching institutes and the official answer keys

Following were the answers of the four friends named Amit Bela Chitra and Dinu for the 15 questions in the test (NA means lsquoNot attemptedrsquo)

The score of the students in AT was calculated according to the official answer key released by IMB and the results were declared accordingly

17 Coaching institutes P Q and R predicted the following cut-offs (minimum marks required in each section and overall for getting an interview call from IMB)

Each of the four friends calculated their expected scores by independently using the answer keys released by each of the three coaching institutes to check whether they met the cut-off criteria How many of the four friends meet the cut-off criteria as expected by all the three institutes

18 After the result of AT was declared IMB called students who scored minimum 5 marks in each of the three sections and 15 marks overall for interviews How many of the four students were called for the interviews

19 Who out of the four students waswere called for the interview by IMB (Use information given in the previous question) A Only Amit B Only Bela C Only Chitra D Both Amit and Bela

20 Suppose we define reliability of a coaching institute as the number of questions in AT (out of 15) that had same answers in its answer key as the official answer key released by IMB which of the following coaching institute had highest value of reliability A Institute P B Institute Q C Institute R D Both institutes Q and R SET 6 In the Hindustan Premier League total five teams- Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters participated Each team played one match against every other team and no match ended in a draw Each match involved a number of gold coins (called lsquoAwardrsquo for the match) such that the team that lost the match gave the number of gold coins equal to the award for that match to the team that won the match The sum of the gold coins received by a team at the end of the tournament is called lsquoProfitrsquo of the team while the sum total of the gold coins gave by a team at the end of tournament is called lsquoLossrsquo of the team Further it is known that I No two teams won the same number of matches and no two teams lost the same number of matches II For any team the lsquoAwardrsquo for any two matches were different III The lsquoAwardrsquo for any match is neither less than 4 nor more than 21 IV The sum of the lsquoProfitrsquo and the lsquoLossrsquo of the team that won all the matches as well as the team that lost all the matches was between 20 and 40 (including both 20 and 40) V The sum of the lsquoProfitrsquo and the lsquoLossrsquo for the teams Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 55 37 40 55 and 53 respectively

VI The number of matches won by Hyderabad Volcanoes was equal to the number of matches lost by Jaipur Royals The number of matches lost by Kolkata Riders was more than the number of matches lost by Hyderabad Volcanoes VII Bangalore Masters won 17 gold coins against Jaipur Royals and the lsquoAwardrsquo involved in the match between Kolkata Riders and Hyderabad Volcanoes was 4 VIII The lsquoProfitrsquo of Jaipur Royals was equal to the lsquoLossrsquo of Hyderabad Volcanoes

21 How many matches did Jaipur Royals win (Write 5 if your answer is lsquoCannot be determinedrsquo)

22 How many matches did Chandigarh Kings lose (Write 5 if your answer is lsquoCannot be determinedrsquo)

23 What was the total lsquoProfitrsquo for Bangalore Masters (Write 56 if your answer is lsquoCannot be determinedrsquo)

24 Which team won three matches A Kolkata Riders B Chandigarh Kings C Hyderabad Volcanoes D Cannot be determined SET 7 The following table gives the information of the students in Class 7 Class 8 Class 9 and Class 10 in Vidyamandir Senior Secondary School Jaipur over the given period of 3 years

Each year a certain number of students either passed the exam failed the exam repeated the exam or did not appear for the exam Also the Number of students in any class C for any year Y = New admissions for that class + Number of students of class (C-1) who passed in the year (Y-1) + Number of students failing in class C in year (Y-1) + Number of students of class C who did not write the exam in year (Y-1) For instance Number of students in class 8 in year 2016 = New admissions for class 8 in 2016 + Number of students of class 7 who passed in the year 2015 + Number of students failing in class 8 in year 2015 + Number of students of class 8 who did not write the exam in year 2015 It is known that no person repeated the exam in the year 2015 Any student can proceed to next class only by passing the exam No student leaves the school in the year 2015 2016 and 2017 Pass percentage = Number of pass students Number of total students Further it is known

1 Number of students failed in class 7 in 2015 is same as Number of students failed in class 10 in 2016

2 85 of the total students passed in class 8 in 2016 3 Number of students failed in class 9 in 2015 is 25 less than that of class 7 in the same year 4 In class 7 in 2016 4 Students did not pass

25 What is the highest pass percentage in any class (among 7th 8th 9th and 10th) in any year

from 2015-2017 A 9333 B 9424 C 9535 D 96

26 How many new students got admission in year 2017 in class 9th A1 B2 C3 D None of these

27 How many total students did not write the exams in class 7th 8th 9th and 10th in the year 2016 A64 B58 C48 D44

28 What is the approximate pass percentage in 7th 8th 9th and 10th class combined in the year 2017 combined A85 B90 C95 D80 SET 8 ldquoExpression Publicationsrdquo publishes books in the categories of Computers Fiction Religion Humour Biography Crime Romance and 12 miscellaneous categories For the year 2007ndash2008 the sales volume of the 5 top ranked books which belong to the categories of Religion Humour Computers Romance and Biography were 5500 13000 18000 16000 and 7500 respectively and this contributed to 75 of the total sales volume The sales in the next fiscal year hiked spectacularly by 5625 with the books in the category of Humour contributing to 108 of the total sales volume in 2008ndash2009 The books in the categories of Computers Biography Fiction and Crime contributed 14 4 168 and 144 of the total sales volume in 2008ndash2009 The sales mentioned above are for the top five rated categories of books in the year 2008ndash2009 In 2007ndash2008 the sales of the miscellaneous categories was 15 of the total sales

29 If the increase in the sale of books in the category of Fiction in the year 2008ndash2009 is 400 with respect to previous year then what is the rank of the books in the category of Crime in the year 2007ndash2008 (considering that the sales of the number of books in the miscellaneous categories are equal) A6th B8th C7th D Cannot be determined

30 If the categories of books are ranked in the decreasing order of their sales in 2 years which of these books would rank 6th (the books in the miscellaneous category were not among the top seven for both the years) A Romance B Biography C Religion D Data insufficient

31 If the categories of books are ranked in the decreasing order of their sales in 2 years which of these books would rank 5th (the books in the miscellaneous category were not among the top seven for both the years) A Fiction B Crime C Romance D Cannot be determined

32 In the year 2007ndash2008 if the sale of category Fiction is ranked 6th then the total sale of the books on Crime in that year would be (Consider the total sale of number of books sold in each of the miscellaneous categories as equal)

A 4000 B More than 1000 but less than 4000 C Greater than 4000 D Cannot be determined SET 9 The total consumption of fertilisers in India in 1993ndash1994 was 52 lakh tonnes The total fertiliser market constitutes of 3 types of fertilisers viz nitrogen phosphate and potash In 1993ndash1994 nitrogen accounted for 65 of the total consumption while phosphate and potash were consumed in the ratio 2 1 The total consumption in 1995ndash1996 was 20 less than the total consumption for 1996ndash1997 while it was greater than the total for 1994ndash1995 by 10 The total consumption in 1994ndash1995 was 6 more than that in 1993ndash1994 The consumption of nitrogen fertiliser grew at a steady rate of 5 per annum over the previous years consumption The government has projected a 25 increase in total consumption in 1997ndash1998 over the 1996ndash1997 level The estimated production for 1997ndash1998 is 87 lakh tonnes

33 The individual consumption of nitrogen phosphate and potash fertiliser respectively in 1993ndash1994 (in lakh tonnes) were A31 14 7 B34 12 6 C28 16 8 D37 10 5

34 The total consumption of fertilisers in 1996ndash1997 was (in lakh tonnes) A6834 B7249 C8013 D7579

35 If the government was to import fertilisers to the extent of shortfall in production visndashandashvis the estimated consumption the total imports in 1997ndash1998 would amount to (in lakh tonnes) A984 B657 C777 D847

36 What percentage of the total consumption was attributed to nitrogen fertilisers in 1994ndash1995 A6439 B6573 C6017 D6247 SET 10 There are five friends A B C D and E The monthly salaries of A B C and D are Rs13000 Rs15000 Rs16000 and Rs20000 respectively The monthly salary of E is equal to the average salary of his other four friends The monthly savings of A is 10 of his monthly salary The monthly savings of B and C are equal and the same as 75 of the monthly savings of E D saves Rs1700 per month which is 85 of monthly savings of E

37 Find the monthly salary of E ARs13000 BRs12800 CRs32000 D None of these

38 How much does E save per month ARs1365 BRs2000 CRs1356 D None of these

39 What percent of his income does B save A10 B12 C95 D None of these

40 What is the average of the monthly savings of A B and C ARs1500 BRs1433 CRs2150 DRs2100 SET 11 A took a voluntary retirement on February 1st 2014 and received 10 lakhs as retirement benefits As on that day he also had Rs 3 lakhs in the bank Of the total amount he had 60 was invested in the bank which gives an annual compounded interest of 15 for three years Of the remaining part half was invested in shares which appreciated by 15 in the first year 6 in the second year and depreciated by 10 the next year The remaining part was invested in real estate The real estate values increased by 10 in the first year reduced by 10 in the next year and remained steady in the third year

41 What was the value (in rupees lakhs) of Arsquos investment on February 1st 2015 A 21 lakhs B 1482 lakhs C 1536 lakhs D 1597 lakhs

42 What was the approximate value (kin rupees lakhs) of his investment on 1st February 2017 A 1621 lakhs B 1682 lakhs C 17286 lakhs D 1787 lakhs

43 In which year did the investment show the maximum increase A First B Second C Third D Both (A) and (C) SET 12 A total of 1650 employees is working in a company in different departments The ratio of male employees to female employees in the organisation is 8679 There are total 5 departments in the company ie Product Development Sales and Marketing R amp D and Reinvestment Finance and HR Total 198 males work in Product Development department 18 employees work in Sales and Marketing department in which male to female ratio is 54 In Finance Department 77 males are working and the number of females in this department is 57th of the number of males The number of males in Sales and Marketing department is equal to the number of females in Product Development department The number of males in Finance department is half of the number of males in HR department Male to female ratio in R amp D and Reinvestment department is 1419

44 The number of males in R amp D and Reinvestment department is how much more than females in Product Development

45 Female in R amp D and Reinvestment department is what of the total number of females in the company (approximately)

46 The number of females in Finance department is what percent less than the number of females in Product Development department

SET 13 In a medical college there are 1600 students studying Dentistry and Homeopathy Each student from each course knows one or more languages out of English Hindi and Bengali 45 of the students study Dentistry and the remaining students study Homeopathy Out of the students studying Dentistry boys and girls are in the ratio 53 Out of the boys studying Dentistry 16 know only English 10 know only Hindi and 4 know only Bengali 24 know English as well as Hindi 20 know English as well as Bengali and 14 know Hindi as well as Bengali The remaining boys know all the three languages Out of the girls studying Dentistry 20 know only English 10 know only Hindi and 10 know only Bengali 20 know English as well as Hindi 20 know English as well as Bengali and 10 know Hindi as well as Bengali The remaining girls know all the three languages Out of the students studying Homeopathy boys and girls are in the ratio 47 Out of the boys studying Homeopathy 20 know only English 15 know only Hindi and 5 know only Bengali 15 know English as well as Hindi 25 know English as well as Bengali and 10 know Hindi as well as Bengali The remaining boys know all the three languages Out of the girls studying Homeopathy 15 know only English 15 know only Hindi and 5 know only Bengali 20 know English as well as Hindi 20 know English as well as Bengali and 15 know Hindi as well as Bengali The remaining girls know all the three languages

47 How many students studying Dentistry know only either English or Hindi A198 B117 C270 D156

48 How many students in the college know all the three languages A175 B170 C169 D270

49 What percent of the total number of girls in the college know Bengali A50 B55 C57 D60

50 How many students studying Homeopathy do not know English A198 B270 C288 D292 SET 14 A school has 400 students- boys and girls who are in the ratio of 35 The students speak Hindi English or both the languages 12 of the boys speak only Hindi 22 of the girls speak only English 24 of the total students speak only Hindi and the number of boys speaking both the languages is six times the number of boys speaking only Hindi

51 How many boys speak Hindi 52 How many girls speak only Hindi 53 How many students speak English 54 The number of girls speaking only Hindi is what percent of the total number of students

speaking only Hindi SET 15 People Power Corporation presently employs three Managers (A B and C) and five recruitment agents (D E F G and H) The company is planning to open a new office in San

Jose to manage placement of software professionals in the US It is planning to relocate two of the three managers and three of the five recruitment agents to the office at San Jose As it is an organization which is highly people oriented the management wants to ensure that the individuals who do not function well together should not be made as a part of the team going to the US The following information was available to the HR department of People Power Corporation Managers A and C are at each otherrsquos throat and therefore cannot be sent as a team to the new office C and E are excellent performers in their own right However they do not function together as a team They should be separated D and G have had a major misunderstanding during the last office picnic After the picnic these two have not been in speaking terms and should therefore not be sent as a team D and F are competing for a promotion that is due in another 3 months They should not be a team

55 If D goes to the new office which of the following is (are) true I C cannot go II A cannot go III H must also go A I only B II and III only C I and III only D I II and III

56 If A is to be moved as one of the Managers which of the following cannot be a possible working unit A ABDEH B ABFGH C ABEGH D ABDGH

57 If C and F are moved to the new office how many combinations are possible A 4 B 1 C 3 D 5

58 Given the group dynamics of the Managers and the recruitment agents which of the following is sure to find a berth in the San Jose office A B B H C G D E SET 16 Ghosh Babu took voluntary retirement in Dec 1991 and received a certain amount of money as retirement benefits On Jan 1 1992 he invested the entire amount in shares At the end of the month he sold all his shares and realised 25 profit On Feb 1 he reinvested the entire amount in shares which he sold at the end of the month at a loss of 20 Again he invested the entire amount on Mar 1 in a new company At the end of the month he sold the new company to a friend and realised a profit of 20 in the process He invested the entire amount in shares on Apr 1 which he sold at the end of the month for Rs 108000 incurring a loss of 10

59 What is the amount of retirement benefits received by Ghosh Babu A Rs 108000 B Rs 125000 C Rs 120000 D Rs 100000

60 The percentage profit received by Ghosh Babu between Jan 1 and Apr 30 is A 800 B 1500 C - 1000 D None of these

61 The amount of loss incurred by Ghosh Babu based on his operation in Apr 1992 is A Rs 25000 B Rs 12000 C Rs 20000 D Rs 8000

62 The maximum amount invested by Ghosh Babu in any one month was in A January B February C March D April SET 17 A school consisting of a total of 1560 students has boys and girls in the ratio of 7 5 respectively All the students are enrolled in different types of hobby classes viz Singing Dancing and Painting One-fifth of the boys are enrolled in only Dancing classes Twenty per cent of the girls are enrolled in only Painting classes Ten percent of the boys are enrolled in

only Singing classes Twenty-four per cent of the girls are enrolled in both Singing and Dancing classes together The number of girls enrolled in only Singing classes is two hundred per cent of the boys enrolled in the same One-thirteenth of the boys are enrolled in all the three classes together The respective ratio of boys enrolled in Dancing and Painting classes together to the girls enrolled in the same is 2 1 respectively Ten per cent of the girls are enrolled in only Dancing classes whereas eight per cent of the girls are enrolled in both Dancing and Painting classes together The remaining girls are enrolled in all the three classes together The number of boys enrolled in Singing and Dancing classes together is fifty per cent of the number of girls enrolled in the same The remaining boys are enrolled in only Painting classes

63 Total number of girls enrolled in Singing is approximately what per cent of the total number of students in the school A 37 B 19 C 32 D 26

64 What is the respective ratio of the number of girls enrolled in only Painting classes to the number of boys enrolled in the same A 77 26 B 21 73 C 26 77 D 73 21

65 Number of girls enrolled in only Dancing classes is what per cent of the boys enrolled in the same A 3867 B 3571 C 4183 D 2862

66 What is the total number of boys who are enrolled in Dancing A 318 B 364 C 292 D 434 SET 18 Not surprisingly the growth of the hotel industry is driven by the increase in the number of people using hotels and the increase in per person use of the hotel In 2004 it is expected that there will be 200 million hotel users in India or about 20 per cent of the population will generate Rs 50 billion in hotel revenues Industry revenues should expand from Rs 50 billion to Rs 150 billion by 2008 while the number of users should grow to over 560 million or to about half the population of India in the same period

67 What is the estimated population of India in 2004 A 98 crore B 100 crore C 110 crore D 115 crore

68 What will be the simple average growth rate of population of India in the given period 2004-2008 A 2

B 3 C 4 D 45

69 What will be the growth in percentage of users in India by 2008 A 100 B 150 C 180 D 200

70 What will be the percentage growth of the revenues of the hotel industry in the given period A 200 B 230 C 260 D 300 SET 19 Bihar and Orissa are the most deprived states of India While they contain one-fifth of Indiarsquos population they have almost one-third of Indiarsquos illiterates In 1998 only a small fraction of Orissa and Biharrsquos population was literate versus 85 per cent of Keralarsquos population More than two-thirds of the births are not attended by any medical facility 110th of the infants born in Orissa and Bihar die in infancy and an equal number before reaching the age of five Almost 90 per cent of the under five deaths are due to malnutrition From amongst the lucky kids who have survived for the first five years 13rd of them work as child labourers and only half of the remaining are sent to school Of those who attend classed only 40 per cent are able to reach Std V In India 30 per cent of the children under 16 work as labourers Orissa and Bihar contain 13rd of the child labourers in India India has the largest population of child labourers which is 115th of its total population In Orissa and Bihar out of 100 children enrolled in school 32 are girls And out of 100 who attend Std X only 10 are girls Only 38 out of 100 Indian women are literate versus 57 per cent of males Even in wealthy states such as Punjab girls suffer from malnutrition seven times more than boys do The total population of the country was 90 crore in 1998 and the ratio of male to female in India was 10 to 9

71 According to the information provided what percentage of the infants in Orissa and Bihar attend Std V A 1133 B 1066 C 1333 D 1233

72 The number of child labourers in India in 1998 are A 15 crore B 16 crore C 12 crore D 6 crore

73 The Orissa and Bihar out of 100 born approximately how many children work as child labourers A 27 B 32 C 13 D 38

74 What percentage of girl children enrolled in school reach Std X in Orissa and Bihar

A 10 B 32 C 60 D Insufficient data SET 20 AMS Inc is the leader in selling ideas universe wide but its maximum revenue comes from three principal planets only viz Earth Mars Jupiter Further it has three products viz CSP CC and CP In a particular year the number of units sold had a distribution as follows The number of units of CCs sold on Mars was 12 per cent of the number of units of CPs sold on Earth The number of units of CPs sold on Jupiter was 1000 Total number of CC units sold was 2600 Total number of CP units was 200 higher than that of the total number of units of CCs sold The number of units of CSP sold on Mars was 10 per cent of the number of units of CP sold on Jupiter The number of units of CSP sold on Earth was 2000 The number of units of CC sold on Earth was 15 per cent of the number of units CSP sold on Jupiter The prices of the units on the different planets were as follows Earth rarr Rs 15 per unit Mars rarr Rs 10 per unit Jupiter rarrRs 8 per unit The number of units of CSP sold on Jupiter was 300 The number of units of CP sold on Earth was 600

75 The number of units of CC sold on Jupiter is A 1520 B 2483 C 3423 D 600

76 The revenue generated on Earth is greater than that generated on Jupiter by about A Rs 8000 B Rs 9000 C Rs 10000 D None of these

77 The overall revenue generated is the highest from A CSPs B CP C CCs D Canrsquot be determined SET 21 An organization consists of 3500 employees working in different departments viz HR Marketing IT Production and Accounts The ratio of male to female employees in the organisation is 3 2 8 of the males work in the HR department 22 of the female work in the account department The ratio of males to females working in the HR department is 3 5 Oneseventh of the females work in the IT department 46 of the males work in the

Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

78 The number of males working in the Account department forms approximately what percent of the total number of males in the organisation A 6 B 8 C 10 D 11

79 How many females work in Production department A 140 B 200 C 180 D None

80 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A 28 B 32 C 29 D 31

81 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A 15 8 B 1 2 C 8 15 D 2 1

SET 22 A B and C started a business by investing Rs 800 Rs 1600 and Rs 2000 respectively After a quarter they invested amounts in a ratio 1 4 2 After another quarter they invested amounts in ratio 3 2 3In the last quarter the ratio of investments was same as in 2nd quarter Also in the last quarter the respective amounts of A B and C was double than the respective amounts invested in 2nd quarter The total investment of C before 4th quarter was Rs 1400 more than that of A during same duration Also ratio of Brsquos share in profit to total profit at the end of year was 66 153

82 Find the total investment of A B and C A Rs 10200 B Rs 11300 C Rs 9800 D Rs 10080

83 If they respectively had invested same amounts in each quarter after quarter 1 which is equal to their respective investments in quarter 1 then what would be the profit of A at the end of year out of a total profit of Rs 19350 A Rs 2510 B Rs 3320 C Rs 2560 D Rs 3150

84 If the respective investments in third quarter was changed and this was in ratio 2 4 1 (other investments being the same) then what would be the total investment of all three in third quarter if the average investment of all A B and C was Rs 3100 for whole year A Rs 500 B Rs 800 C Rs 700 D Rs 900 SET 23 The total population of village satana is 3550 out of which 36 people are below poverty line The total population of Satana is 11 frac14 less than the total population of amin while there are 29 people in amin who lives below poverty line In Nilokheri the people living below poverty line are 40 more than that in amin which is 40 of the total population of this village The average population of Gharaunda and Samalkha is equal to the average population of amin and Nilokheri while the difference between their population is 1800 (Village Samalkha is more populated) 47 of the population of Gharaunda are below poverty line Overall 46 of the population of all villagesrsquo together lives below poverty line

85 What percent of population of Samalkha lives above poverty line (Approximate) A 26 B 27 C 28 D 29

86 Find the approximate average no of people below poverty line in the given villages A 1610 B 1620 C 1615 D 1320

87 If 35 of the BPL population of Nilokheri are children while 30 of the overall population of this village are children Then what percent of population above poverty line are children A 25 B 30 C 26 13 D 26 23

88 What is the difference between total population of Nilokheri and that of Gharaunda A 300 B 200 C 250 D 400

SET 24

Gaurav a sweet seller bought some quantity of three types of sweets Rasgulla Rasmalai and Kalakand in ratio of 6 10 9 Kalakand costed him a total of Rs 18900 at rate of 420 per kg By selling Kalakand at a discount of 5 he earned a profit of 13 221 On Rasmalai (which was marked Rs 500 per kg) he earned Rs 5 less profit per kg as compared to that on Kalakand by selling Rasmalai at 10 discount Gaurav spent a total of Rs 46400 on buying these sweets while he earned a total profit of Rs 5875 on selling all bought sweets Rasgullas were marked 40 above cost price per kg

89 What is the difference between the number of Accord cars sold by dealers D and E together

and the number of City cars sold by dealers B and F together A 3658 B 3712 C 4205 D 3252

90 If Gaurav gave an extra discount of 20 on Kalakand then his gain or loss was

A 9 11

21 profit B 8

11

21 loss C 10

11

23 loss D 9

11

21 loss

91 Find the total quantity of sweets bought by Gaurav A 135 kg B 126 kg C 125 kg D 120 kg

92 If 10kg of Rasmalai was wasted away due to some reason Find profit or loss by selling the remaining Rasmalai as per given condition A 10 loss B 10 gain C 12 loss D 15 loss SET 25 An organization consists of 3500 employees working in different departments viz HR Marketing IT Production and Accounts The ratio of male to female employees in the organisation is 3 2 8 of the males work in the HR department 22 of the female work in the account department The ratio of males to females working in the HR department is 3 5 One-seventh of the females work in the IT department 46 of the males work in the Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

93 The number of males working in the Account department forms approximately what per cent of the total number of males in the organisation A 6 B8 C10 D11

94 How many females work in Production department A 140 B200 C180 DNone of these

95 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A28 B30 C29 D31

96 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A158 B12 C815 D21 SET 26

In the recently held Commonwealth Games a total number of 500 players participated in five different games viz Athletics Hockey Lawn Tennis Rugby and Badminton 15 of the total players participated in Badminton 25 of the total players participated in Hockey 6 of the total players participated in Lawn Tennis and 25 of the total players participated in Athletics The remaining players participated in Rugby One-fourth of the Hockey players are females 20 of the Badminton players are males Half of the players who participated in Lawn Tennis are males There are 55 female athletes No female player participated in Rugby

97 The number of female players who participated in Badminton is approximately what per cent of the total number of players who participated in Rugby A82 B80 C86 D76

98 What is the difference between the number of male players who participated in Hockey and the number of female players who participated in Lawn Tennis A125 B145 C130 D135

99 If due to certain reason Athletics was dropped and all the athletes left the tournament then what was the percentage of male players among the total players remaining in the tournament A4566 B4033 C3533 DNone of these

100 What is the ratio of the total number of male players participating in Badminton to the total number of female players participating in Hockey A353 B310 C510 D325 SET 27 The premises of an institute are to be renovated Only the floor is to be renovated either with marble or with wood All rooms halls and pantry are rectangular The area to be renovated comprises a hall measuring 33m by 39m The directorrsquos room measures 13m by 12m and the pantry measures 14m by 12m A record keeping-cum-server room measures 23m by 13m and the accounts room measures 12m by 23m The total area of the institute is 2500 square metres The cost of wooden flooring is Rs 170 per square metre and the cost of marble flooring is Rs 190 per square metre The accounts room the record keeping-cum-server room and the pantry are to be floored with marble The directorrsquos room and the hall are to be floored with wood

101 What is the ratio of the total cost of wooden flooring to the total cost of marble flooring A 1443 735 B 8177 4655 C 1443 4655 D 24531 14117

102 If four walls and ceiling of the room (the height of the room is 15 metres) are to be painted at the cost of Rs 190 per square metre how much will be the total cost of renovation of the directorrsquos room including the cost of flooring A 198660 B 178680 C 198880 D 22876

103 If the remaining area of the institute is to be carpeted at the rate of Rs 210 per square metre by how much will the cost of renovation of institute premises increase A 75000 B72840 C65940 D 75940

104 What is the percentage area of the institute that is not to be renovated A1644 B1356 C1455 D1256

SET 28 A total of 1650 students are studying in an engineering college in different departments The ratio of male students to female students in the college is 8679 The college had a total of 5 departments which are mechanical civil electrical Biotechnology and computer science Total 198 males study in the mechanical department 18 students study in the civil department in which male to female ratio is 54 In the biotechnology department 77 male students are studying and the number of female students in this department is 57th of the number of males The total number of male students in the civil department is equal to the number of female students in the mechanical department The number of males in biotechnology department is half of the number of total male students in computer science department In the electrical department the male to female ratio is 1419

105 The number of male students in electrical department is how much more than female students in mechanical

106 Female students in electrical department is what of the total number of females in the college (approximately) SET 29 During the period 1990-91 to 1994-95 the unit sales of Motorcycles witnessed a simple average growth rate of 45 and the unit price experienced a simple average growth rate of 41 In the year 1990-91 amp 1992-93 the selling price of motorcycle was Rs 50000 The unit selling price rose by Rs 2500 each in the years 1991-92 and 1994-95 Between 1990-91 and 1992-93 unit sales increased by 155 In 1992-93 approx 2888 units and in 1993-94 3000 units were sold In 1991-92 the sales increased by Rs 1281 crore and number of units sold increased by 125

107 The rupee sales of the motorcycles in 1990-91 is A Rs 180crore B Rs 125crore C Rs 135crore D Rs 100crore

108 How many motorcycles were sold in 1991-92 A 2500 B 2625 C 3050 D 4000

109 How many motorcycles were sold during the period 1990-91 to 1994-95 A 15025 B 14005 C 14076 D 15000

110 What is the selling price of a motorcycle in 1993-94 A Rs 50000 B Rs 52500 C Rs 57750 D Rs 60000

SET 30 Mlon huskthe space Y inventor took his team of scientist to newly found planetrdquoEuro Chandrdquo The team agreed on the condition that they will not do any research during their visit but will only do rest But Husk as per his nature observed various phenomenon on new planet including the gravitational pull He observed that a kg on earth is equivalent to 12 kg on Euro chand except kg on new planet is called Euroc Slen weighs 552 Euroc weighs heavier than all except Plen who weighs 108 Euroc more Olen the lightest weighs 252 Euroc less than Dlen Jlen weighs 48 Euroc less than Slen and 48 Euroc more than Dlen

111 What is the weight of Plen (in Kg) A55 B46 C17 D48

112 What is the weight of Olen (in Euronc ) A505 B246 C218 D204

113 Approximately how many times is the weight of Plen that of Dlen A145 B107 C218 D214

114 Weight of Dlen is what moreless than weight of Jlen

A111 B108 C95 D121 SET 31 In a MNC there are 5000 employees In that there are 6 departments ie Accounts department maintenance-admin department HR department production department RampD department marketing department In maintenance- admin department there is 15 of total number of employees In that 40 are females Total number of persons working in RampD department is equal to total number of males working in maintenance department Male to female ratio of RampD is 45In production department 1500 persons are working there are males only In HR department the number of persons working is 15 of number of persons working in production department where 80 are females The number of people working in Accounts department is 60 of production department in that number of females are 550 The number of female in marketing department 500

115 Total number of males in RampD department is what percentage of total number of males in the marketing department A50 B 375 C 33 13 D1007

116 What is the percentage increasedecrease in total number of females in HR department to the total number of males in maintenance ndash admin department A5334 increase B5334 decrease C4666 increase D4666decrease

117 What is the difference between total number of males in marketing department to total number of females in the accounts department A75 B50 C60 D90

118 What is the ratio of total number of males in HR department to the total number of females in maintenance ndash admin department A15 B27 C35 D47 SET 32

According to A the census has been taken by the Government for literacy rate in two villages

A and B total population is 6 00000 In which the ratio between total numbers of males to

total number of females is 53 and the ratio of total population in village A to village B is 1713

The ratio of number of males in village A to number of males in village B is 78Total Ratio of

literate to illiterate (in men) 41 Out of total women only 35 are literates Total percentage

of adults is 80 ( m f = 53) in total population and in remaining 10 are children all other

peoples are senior citizens

119 What is the difference between literate people to total number of senior citizens

A378750 B78750 C270750 D221250

120 Total number of literate males in village A (if 45 of literate males are in Village A) is what percentage of total number of illiterate Females (Approximately) A97 B92 C89 D85

121 What is the ratio of males in village B to Adult females in the survey A54 B45 C910 D109

122 What is the increasedecrease in percentage of total number children to the

difference between the populations of village A to village B

A85 decrease B 85 increase C 95 increase D95 decrease

SET 33 Acity consists of 2400 employees working in different IT companies viz TCS Infosys Wipro Tech Mahindra and Oracle The ratio of male to female employees in the city is 5 3 respectively Twelve per cent of the males work in the TCS Company Twenty four per cent of the females work in the Oracle Company The ratio of males to females working in the TCS company is 6 11 respectively One-ninth of the females work in the Wipro Company Forty two percent of the males work in the Tech Mahindra Company Number of females working in the Tech Mahindra Company is ten percent of the males working in the same The remaining females work in the Infosys Company The total number of employees working in the Wipro Company is 285 Twenty two percent of the males work in the Infosys Company and the remaining work in the Oracle Company

123 The number of females working in the Tech Mahindra Company TCS Company and Infosys company together forms what percent of the total number of females in the City A6488 B5765 C 4896 D7527

124 The total number of females working in the TCS and Infosys Company together

forms what percent of the total number of employees in Tech Mahindra Company

A7018 B8047 C 7526 D7518

125 What is the difference between the number of males in Infosys Company and

number of females to the Oracle Company together to the number of males in Tech

Mahindra Company and number of females to the TCS Company together

A434 B427 C404 D414

126 The number of males working in the Wipro Company and the number of females

working in the Infosys Company together forms approximately what percent of the total

number of males in the City (Rounded off the nearest percentage)

A50 B25 C21 D18

SET 34

A School consisting of a total of 1560 students has boys and girls in the ratio of 7 5

respectively All the students are enrolled for different country tours viz Russia Switzerland

and Japan One-fifth of the boys are enrolled for only Switzerland tour Twenty percent of

the girls are enrolled for only Japan tour Ten percent of the boys are enrolled for only Russia

tour Twenty four percent of the girls are enrolled for both Russia and Switzerland tour

together The number of girls enrolled for only Russia tour is two hundred percent of the

boys enrolled in the same One-thirteenth of the boys are enrolled for all the three tour

together The respective ratio of boys enrolled for Switzerland and Japan tour together to

the girls enrolled for the same is 2 1 respectively Ten percent of the girls are enrolled for

only Switzerland tour whereas eight percent of the girls are enrolled for both Switzerland

and Japan tour together The remaining girls are enrolled for all the three tour together The

number of boys enrolled for Russia and Switzerland tour together is fifty percent of the

number of girls enrolled for the same The remaining boys are enrolled for only Japan tour

127 What is the respective ratio of the number of girls enrolled for only Japan tour and

number of boys enrolled for Switzerland tour together to the number of boys enrolled for

the Japan tour and number of girls enrolled for Switzerland tour together

A7752 B7552 C5275 D5277

128 Number of girls enrolled for only Switzerland Russia and Japantour together is what

percent of the boys together enrolled for the same (Rounded off to two digits after

decimal)

A3757 B5729 C6193 D5522

129 What is the total number of students enrolled for all the three tour and number of

girls enrolled for Switzerland and Russia tour together and number of boys enrolled for

Switzerland and Japan tour together

A395 B2415 C385 D390

130 What is the sum of the total number of boys who are enrolled for Switzerland and

the total number of girls who are enrolled for same tour together

A872 B752 C802 D772

SET 35

A radio station surveyed 200 students to determine the types of music they liked There are

three types of music rock music folk music and classical music The survey revealed that 57

percent liked rock music 25 percent liked folk music and 205 percent liked classical music 14

students liked rock music and folk music 15 students liked rock music and classical music 6

students liked only classical music and folk music 90 of them liked only rock music

131 How many of them liked folk music but not rock music

A36 B41 C30 D44

132 How many of them liked any two types of music only

A15 B16 C19 D25

133 How many students did not like any of the three types

A35 B40 C30 D25

134 What is the ratio of who liked rock and classical music together to the ratio of who

liked only folk music

A51 B3110 C316 D125

SET 36

In a shopping mall there are three different varieties of dress materials Cotton Silk and

Chiffon There are 300 customers visited the Shop 50 of customers purchased Cotton

material 40 of customers purchased Chiffon material and 60 of customers purchased Silk

material The customers who purchased any of two dress materials are 90 20 of

customers who purchased Cotton also purchased other two materials The customers who

purchased only Silk material are 20 more than that of who purchased only Chiffon material

30 Customers are purchased only Silk and Chiffon material

135 How many of them purchased only one variety of dress material

A150 B180 C120 D160

136 How many of them purchased at least two types of dress materials

A90 B100 C120 D140

137 What is the percentage of the customers who purchased only Silk material to that of

the customers who purchased all types of dress material

A30043 B30553 C35523 D23333

138 How many of them did not purchase any of the three types of materials

A10 B15 C5 D None

SET 37

In a sports event six teams (A B C D E and F) are competing against each other Matches

are scheduled in two stages Each team plays three matches in stage ndash I and two matches in

Stage ndash II No team plays against the same team more than once in the event No ties are

permitted in any of the matches The observations after the completion of Stage ndash I and

Stage ndash II are as given below

Stage-I

bull One team won all the three matches

bull Two teams lost all the matches

bull D lost to A but won against C and F

bull E lost to B but won against C and F

bull B lost at least one match

bull F did not play against the top team of Stage-I

Stage-II

bull The leader of Stage-I lost the next two matches

bull Of the two teams at the bottom after Stage-I one team won both matches while the

other lost both matches

bull One more team lost both matches in Stage-II

139 The two teams that defeated the leader of Stage-I are

A F amp D B E amp F C B amp D D E amp D

140 The only team(s) that won both matches in Stage-II is (are)

A B B E amp F C A E amp F D B E amp F

141 The teams that won exactly two matches in the event are

A A D amp F B D amp E C E amp F D D amp F

142 The team(s) with the most wins in the event is (are)

A A B A amp C C B amp E D E

SET 38

Two traders Chetan and Michael were involved in the buying and selling of MCS shares

over five trading days At the beginning of the first day the MCS share was priced at ₹100

while at the end of the fifth day it was priced at ₹110 At the end of each day the MCS share

price either went up by ₹10 or else it came down by ₹10 Both Chetan and Michael took

buying and selling decisions at the end of each trading day The beginning price of MCS share

on a given day was the same as the ending price of the previous day Chetan and Michael

started with the same number of shares and amount of cash and had enough of both

Below are some additional facts about how Chetan and Michael traded over the five trading

days

middot Each day if the price went up Chetan sold 10 shares of MCS at the closing price On the

other hand each day if the price went down he bought 10 shares at the closing price

middot If on any day the closing price was above ₹110 then Michael sold 10 shares of MCS

while if it was below ₹90 he bought 10 shares all at the closing price

143 If Chetan sold 10 shares of MCS on three consecutive days while Michael sold 10

shares only once during the five days what was the price of MCS at the end of day 3

A ₹ 90 B ₹100 C ₹110 D ₹120

144 If Chetan ended up with ₹1300 more cash than Michael at the end of day 5 what

was the price of MCS share at the end of day 4

A ₹90 B ₹100 C ₹110 D₹120

145 If Michael ended up with 20 more shares than Chetan at the end of day 5 what was

the price of the share at the end of day 3

A₹90 B ₹100 C ₹110 D ₹120

146 If Michael ended up with ₹100 less cash than Chetan at the end of day 5 what was

the difference in the number of shares possessed by Michael and Chetan (at the end of day

5)

A Michael had 10 less shares than Chetan

B Michael had 10 more shares than Chetan

C Chetan had 10 more shares than Michael

D Both had the same number of shares

SET 39

Bankatlal acted as a judge for the beauty contest There were four participants viz Ms

Andhra Pradesh Ms Uttar Pradesh Ms West Bengal and Ms Maharashtra Mrs Bankatlal

who was very anxious about the result asked him about it as soon as he was back home

Bankatlal just told that the one who was wearing the yellow saree won the contest When

Mrs Bankatlal pressed for further details he elaborated as follows

I All of them were sitting in a row

II All of them wore sarees of different colors viz Green Yellow White Red

III There was only one runner up and she was sitting beside Ms Maharashtra

IV The runner up was wearing the Green saree

V Ms West Bengal was not sitting at the ends and was not a runner up

VI The winner and the runner up are not sitting adjacent to each other

VII Ms Maharashtra was wearing white saree

VIII Ms Andhra Pradesh was not wearing the Green saree

IX Participants wearing Yellow saree and White saree were at the ends

147 Who wore the Red saree A Ms Andhra Pradesh B Ms West Bengal C Ms Uttar Pradesh D Ms Maharashtra

148 Ms West Bengal was sitting adjacent to A Ms Andhra Pradesh and Ms Maharashtra B Ms Uttar Pradesh and Ms Maharashta C Ms Andhra Pradesh and Ms Uttar Pradesh D Ms Uttar Pradesh only

149 Which saree was worn by Ms Andhra Pradesh A Yellow B Red C Green D White

150 Who was the runner up

A Ms Andhra Pradesh B Ms West Bengal

C Ms Uttar Pradesh D Ms Maharashta

SET 40

Ghosh Babu goes to a casino in Kay - Kay islands where he comes across an interesting game

of cards The visitor playing the game is called the player amp the clubman is called the dealer

The rules of the game are as follows First the player picks the card This card is called the

base card amp the number on the face of the card is called the base value of the card Ace

King Queen amp Jack all have base value of 10 The dealer pays the player same number of

rupees as the base value of the card Now the dealer picks a card amp This is called the top

card If topcard is of the same suite then the player pays the dealer double the amount of

base value If it is of the same colour but not the same suite then the player pays the dealer

the amount of a bse value If it is of different colour then the dealer pays the player the

amount of base value Ghosh Babu plays the game 4 times First time he draws 8 of club amp

the dealer draws jack of club Second time he draws 10 of hearts amp the dealer draws 2 of

spade Third time he draws 6 of diamond amp the dealer draws 1 of heart Finally Ghosh Babu

draws 8 of spade and the dealer draws ace of the spade

151 If Ghosh Babu should leave the game when his profit is maximum then what is that

profit

A 12 B 18 C 20 D None of these

152 If Ghosh Babu did not have to borrow any money from anyone then what is the

minimum amount that he could have started with

A 16 B 24 C 8 D None of these

153 If Ghosh Babu is left with 100 rupees now what is the amount that he had started

with

A 120 B 104 C 96 D None of these

SET 41

Twenty one participants from four continents (Africa Americas Australasia and Europe)

attended a United Nations conference Each participant was an expert in one of four fields

labour health population studies and refugee relocation The following five facts about the

participants are given

I The number of labour experts in the camp was exactly half the number of experts in each

of the three other categories

II Africa did not send any labour expert Otherwise every continent including Africa sent at

least one expert for each category

III None of the continents sent more than three experts in any category

IV If there had been one less Australasian expert then the America would have had twice

many experts as each of the other continents

V Mike and Alfanso are leading experts of population studies who attended the conference

They are from Australasia

154 Which of the following numbers cannot be determined from the information given

A Number of labour experts from the Americas

B Number of health experts from Europe

C Number of health experts from Australasia

D Number of experts in refugee relocation from Africa

155 Which of the following combinations is NOT possible

A 2 experts in population studies from the Americas and 2 health experts from Africa

attended the conference

B 2 experts in population studies from the Americas and 1 health expert from Africa

attended the conference

C 3 experts in refugee relocation from the Americas and 1 health expert from Africa

attended the conference

D Africa and America each had 1 expert in population studies attending the conference

156 If Ramos is the lone America expert in population studies which of the following is

NOT true about the numbers of experts in the conference from the four continents

A There is one expert in health from Africa

B There is one expert in refugee relocation from Africa

C There are two experts in health from the Americas

D There are three experts in refugee relocation from the Americas

157 Alex an American expert in refugee relocation was the first keynote speaker in the

conference What can be inferred about the number of American experts in refugee

relocation in the conference excluding Alex (i) At least one (ii) Atmost two

A Only (i) and not (ii) B Only (ii) and not (i)

C Both (i) and (ii) D Neither (i) nor (ii)

SET 42

Help Distress (HD) is an NGO involved in providing assistance to people suffering from

natural disasters Currently it has 37 volunteers They are involved in three projects

Tsunami Relief (TR) in Tamil Nadu Flood Relief (FR) in Maharashtra and Earthquake Relief

(ER) in Gujarat Each volunteer working with Help Distress has to be involved in at least one

relief work project

bull A Maximum number of volunteers are involved in the FR project Among them the

number of volunteers involved in FR project alone is equal to the volunteers having

additional involvement in the ER project

bull The number of volunteers involved in the ER project alone is double the number of

volunteers involved in all the three projects

bull 17 volunteers are involved in the TR project

bull The number of volunteers involved in the TR project alone is one less than the number of

volunteers involved in ER project alone

bull Ten volunteers involved in the TR project are also involved in at least one more project

158 Based on the information given above the minimum number of volunteers involved

in both FR and TR projects but not in the ER project is

A 1 B 3 C 4 D 5

159 Which of the following additional information would enable to find the exact

number of volunteers involved in various projects

A Twenty volunteers are involved in FR B Four volunteers are involved in all the three projects C Twenty three volunteers are involved in exactly one project D No need for any additional information

160 After some time the volunteers who were involved in all the three projects were

asked to withdraw from one project As a result one of the volunteers opted out of the TR

project and one opted out of the ER project while the remaining ones involved in all the

three projects opted out of the FR project Which of the following statements then

necessarily follows

A The lowest number of volunteers is now in TR project B More volunteers are now in FR project as compared to ER project C More volunteers are now in TR project as compared to ER project D None of the above

161 After the withdrawal of volunteers as indicated in Question 85 some new

volunteers joined the NGO Each one of them was allotted only one project in a manner such

that the number of volunteers working in one project alone for each of the three projects

became identical At that point it was also found that the number of volunteers involved in

FR and ER projects was the same as the number of volunteers involved in TR and ER projects

Which of the projects now has the highest number of volunteers

A ER B FR C TR D Cannot be determined

SET 43

Mathematicians are assigned a number called Erdoumls number (named after the famous

mathematician Paul Erdoumls) Only Paul Erdoumls himself has an Erdoumls number of zero Any

mathematician who has written a research paper with Erdoumls has an Erdoumls number of 1 For

other mathematicians the calculation of hisher Erdoumls number is illustrated below

Suppose that a mathematician X has co-authored papers with several other mathematicians

From among them mathematician Y has the smallest Erdoumls number Let the Erdoumls number

of Y be y Then X has an Erdoumls number of y + 1 Hence any mathematician with no co-

authorship chain connected to Erdoumls has an Erdoumls number of infinity In a seven day long

mini-conference organized in memory of Paul Erdoumls a close group of eight mathematicians

call them A B C D E F G and H discussed some research problems At the beginning of the

conference A was the only participant who had an infinite Erdoumls number Nobody had an

Erdoumls number less than that of F

bull On the third day of the conference F co-authored a paper jointly with A and C This

reduced the average Erdoumls number of the group of eight mathematicians to 3 The Erdoumls

numbers of B D E G and H remained unchanged with the writing of this paper Further no

other co-authorship among any three members would have reduced the average Erdoumls

number of the group of eight to as low as 3

bull At the end of the third day five members of this group had identical Erdoumls numbers while

the other three had Erdoumls numbers distinct from each other

bull On the fifth day E co-authored a paper with F which reduced the grouprsquos average Erdoumls

number by 05 The Erdoumls numbers of the remaining six were unchanged with the writing of

this paper

bull No other paper was written during the conference

162 The Erdoumls number of C at the end of the conference was

A 1 B 2 C 3 D 4

163 The Erdoumls number of E at the beginning of the conference was

A 5 B 6 C 7 D 8

164 How many participants had the same Erdoumls number at the beginning of the

conference

A 2 B 3 C 4 D 5

SET 44

K L M N P Q R S U and W are the only ten members in a department There is a proposal

to form a team from within the members of the department subject to the following

conditions

bull A team must include exactly one among P R and S

bull A team must include either M or Q but not both

bull If a team includes K then it must also include L and vice versa

bull If a team includes one among S U and W then it must also include the other two

bull L and N cannot be members of the same team

bull L and U cannot be members of the same team

The size of a team is defined as the number of members in the team

165 Who can be a member of a team of size 5

A K B L C M D P

166 Who cannot be a member of a team of size 3

A L B M C N D P

167 What could be the size of a team that includes K

A 2 or 3 B 2 or 4 C 3 or 4 D Only 4

168 In how many ways a team can be constituted so that the team includes N

A 2 B 3 C 4 D 6

SET 45

(i) There are three houses on each side of the road

(ii) These six houses are labeled as P Q R S T and U

(iii) The houses are of different colours namely Red Blue Green Orange Yellow and

White

(iv) The houses are of different heights

(v) T the tallest house is exactly opposite to the Red coloured house

(vi) The shortest house is exactly opposite to the Green coloured house

(vii) U the Orange coloured house is located between P and S

(viii) R the Yellow coloured house is exactly opposite to P

(ix) Q the Green coloured house is exactly opposite to U

(x) P the White coloured house is taller than R but shorter than S and Q

169 Which is the second tallest house

A P B S C Q D cannot be determined

170 What is the colour of the house diagonally opposite to the Yellow coloured house

A White B Blue C Green D Red

171 What is the colour of the tallest house

A Red B Blue C Green D Yellow

SET 46

A leading socialite decided to organise a dinner and invited a few of her friends Only the

host and the hostess were sitting at the opposite ends of a rectangular table with three

persons along each side The pre-requisite for the seating arrangement was that each person

must be seated such that atleast on one side it has a person of opposite sex Maqbool is

opposite Shobha who is not the hostess Ratan has a woman on his right and is sitting

opposite a woman Monisha is sitting to the hostessrsquos right next to Dhirubhai One person is

seated between Madhuri and Urmila who is not the hostess The men were Maqbool Ratan

Dhirubhai and Jackie while the women were Madhuri Urmila Shobha and Monisha

172 The eighth person present Jackie must be I the host II seated to Shobarsquos right III

seated opposite Urmila

A I only B III only C I and II only D II and III only

173 Which of the following persons is definitely not seated next to a person of the same

sex

A Maqbool B Madhuri C Jackie D Shobha

174 If Ratan would have exchanged seats with a person four places to his left which of

the following would have been true after the exchange

I No one was seated between two persons of the opposite sex (eg no man was seated

between two women)

II One side of the table consisted entirely of persons of the same sex

III Either the host or the hostess changed seats

A I only B II only C I and II only D II and III only

175 If each person is placed directly opposite his or her spouse which of the following

pairs must be married

A Ratan and Monisha B Madhuri and Dhirubhai

C Urmila and Jackie D Ratan and Madhuri

SET 47

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

50 Must Solve Case Based DI Sets

SET 1 National Institute of Management Studies (NIMS) conducts its entrance test called National Admission Test (NAT) for admission to its flagship two-year MBA course The QA section of NAT-2018 had 34 questions all of which were multiple choice format questions The following was the marking scheme for NAT-2018 I Each correct answer fetched 12 marks There was negative marking for incorrect answers For each incorrect answer four marks were deducted from the score of a student II Additionally there was a progressive penalty for skipped questions as specified in the table below

For example a student who skipped 6 questions lost 0 times 4 + 1 times (6 ndash 4) = 2 marks on account of these 6 skipped questions Similarly a student who skipped 18 questions lost 0 times 4 + 1 times 4 + 2 times 4 + 3 times 4 + 4 times 2 = 32 marks on account of these 18 skipped questions III The exam is computerized and the questions are presented to students one at a time Once a student sees the question heshe has only two options before seeing the next question either attempt the question or skip the question After a student attemptsskips a question the next question is presented and heshe is not able to revisit the questions that are already attemptedskipped IV All the questions that a student is unable to answer in the stipulated time of one hour are considered to be lsquoskippedrsquo by the student For example if a student is able to answer only 30 questions in the section at the end of one hour the remaining 4 questions in the section are considered to be skipped by the student V Cumulative score of a student at the end of each question (considering the penalty on account of incorrect and skipped questions) is calculated For example if a student gets one answer correct one answer incorrect and skips one question out of the first three hisher cumulative score at the end of the 3rd question will be 12 ndash 4 ndash 0 = 8 Similarly the total score of a student at the end of the stipulated time is calculated after deducting the marks on account of penalty for the questions that were not visited by the student (and hence were considered to be skipped)

1 Which of the following cannot be a valid cumulative score that a student could have

obtained at the end of 10 questions in that section A43 B34 C27 D30

2 Which of the following can be a valid score that a student could have obtained in the section if it is known that heshe attempted 28 questions in the section A62 B74 C86 D98

3 It is known that a student scored exactly 100 marks in the section What can be the maximum number of questions that the student could have attempted (either correctly or incorrectly) in the section (Write 35 if it is not possible to score 100 marks in the section)

4 It is known that a student scored exactly 100 marks in the section What can be the minimum number of questions that a student could have attempted (either correctly or incorrectly) in the section (Write 35 if it is not possible to score 100 marks in the section) SET 2 Adam and Paco together play a game In each round of the game each of them wagers $1 Game-master Gogo tosses an unbiased six faced die and the result is decided as follows For Adam If the number is 2 or less he loses the $1 he had wagered If the number is 5 or more he gains $1 Otherwise he has no gain or loss For Paco If the number is a perfect square he loses $1 If the number is divisible by 3 he gains $1 Otherwise he has no gain or loss Example If the die shows number 1 both the players give $1 to Gogo If the die shows number 5 Gogo gives $1 only to Adam

5 If both Adam and Paco initially have $5 and after exactly 5 rounds both have lost all the money they initially had then what could be the sum of the numbers rolled in the 5 rounds A5 B7 C10 D15

6 If both Adam and Paco start the game with equal amounts with them and play three rounds then what is the maximum possible difference between the amounts with them at the end given that the numbers rolled in all three rounds were different A $4 B $3 C $2 D $1

7 If both Adam and Paco start the game with $10 and after four rounds the amounts with Adam and Paco are $13 and $12 respectively then the sum of the numbers rolled in the four rounds is A19 B20 C22 D Cannot be determined

8 If both Adam and Paco start the game with $5 and at the end of three rounds Adam had exactly twice as much amount as Paco had that time then which of the following cannot be true A Adam did not gain in any of the rounds B Adam gained in all three rounds C Adam gained in exactly one round D None of these

SET 3 In the year 2017 there are lsquoXrsquo number of people working in a factory out of which 4545 are women The people working in the factory are further classified into three sections namely Workers Officers and Executives in the ratio 3 5 1 respectively

9 Which of the following can be a possible value of lsquoXrsquo A4500 B4950 C5500 D5950

10 Which of the following can be a possible value of lsquoXrsquo If in 2017 the number of men and women is same for any two out of the three sections what could be the minimum percentage of women present in a particular section (Use the value of X obtained in the previous question) A777 B909 C3636 D4182

11 If out of the total number of Officers 60 are men then what is the ratio of the total number of workers to the total number woman Officers A1 2 B2 1 C3 2 D Cannot be determined

12 In the year 2018 if only the number of men working in the factory increase by 20 over 2017 The ratio of Workers Officers and Executives remains same as 3 5 1 What is the ratio of the total number of Workers in the year 2018 to the total number of Officers in year 2017 A183 275 B275 183 C1 3 D3 1 SET 4 24000 people live in Siddhivinayak residential complex The people living in the complex can be either males or females Similarly the people living in the complex can be classified as vegetarians or non-vegetarians It is known that there are 6600 female adults residing in the complex Following information is known 1 The number of male adult vegetarians is twice the number of male children 2 40 of total children are non-vegetarian male children 3 The number of female children is 25 less than male children And half of the female children are vegetarian 4 (16)th of female adults are vegetarian 5 Non-vegetarian male adults are twice of vegetarian male children

13 What is the ratio of non-vegetarian male children to vegetarian male adults A7 4 B5 3 C7 20 D5 13

14 How many male adults are non-vegetarians 15 What is the difference between total male and female population 16 What percentage of total adults are vegetarian

A3838 B4242 C5353 D6767

SET 5

Institute of Management Bangalore (IMB) conducted its entrance test called Admission Test (AT) for the admission to its MBA course The test had three sections with five questions each In each section Q1 to Q4 were lsquoMultiple Choice Questionsrsquo (MCQ) with four options each (options were a b c and d) out of which only one was correct In each section Q5 was lsquoType In - The Answerrsquo (TITA) question for which no options were given and students were expected to type in their answer in the textbox provided Each correct answer fetched three marks while there was a penalty of one mark for incorrect answers on MCQ questions and there was no penalty for incorrect answers on TITA questions or unattempted questions After the exam three coaching institutes P Q and R published their answer keys for the questions in AT Later IMB also published the official answer keys for the questions in AT Following were the answer keys of the three coaching institutes and the official answer keys

Following were the answers of the four friends named Amit Bela Chitra and Dinu for the 15 questions in the test (NA means lsquoNot attemptedrsquo)

The score of the students in AT was calculated according to the official answer key released by IMB and the results were declared accordingly

17 Coaching institutes P Q and R predicted the following cut-offs (minimum marks required in each section and overall for getting an interview call from IMB)

Each of the four friends calculated their expected scores by independently using the answer keys released by each of the three coaching institutes to check whether they met the cut-off criteria How many of the four friends meet the cut-off criteria as expected by all the three institutes

18 After the result of AT was declared IMB called students who scored minimum 5 marks in each of the three sections and 15 marks overall for interviews How many of the four students were called for the interviews

19 Who out of the four students waswere called for the interview by IMB (Use information given in the previous question) A Only Amit B Only Bela C Only Chitra D Both Amit and Bela

20 Suppose we define reliability of a coaching institute as the number of questions in AT (out of 15) that had same answers in its answer key as the official answer key released by IMB which of the following coaching institute had highest value of reliability A Institute P B Institute Q C Institute R D Both institutes Q and R SET 6 In the Hindustan Premier League total five teams- Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters participated Each team played one match against every other team and no match ended in a draw Each match involved a number of gold coins (called lsquoAwardrsquo for the match) such that the team that lost the match gave the number of gold coins equal to the award for that match to the team that won the match The sum of the gold coins received by a team at the end of the tournament is called lsquoProfitrsquo of the team while the sum total of the gold coins gave by a team at the end of tournament is called lsquoLossrsquo of the team Further it is known that I No two teams won the same number of matches and no two teams lost the same number of matches II For any team the lsquoAwardrsquo for any two matches were different III The lsquoAwardrsquo for any match is neither less than 4 nor more than 21 IV The sum of the lsquoProfitrsquo and the lsquoLossrsquo of the team that won all the matches as well as the team that lost all the matches was between 20 and 40 (including both 20 and 40) V The sum of the lsquoProfitrsquo and the lsquoLossrsquo for the teams Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 55 37 40 55 and 53 respectively

VI The number of matches won by Hyderabad Volcanoes was equal to the number of matches lost by Jaipur Royals The number of matches lost by Kolkata Riders was more than the number of matches lost by Hyderabad Volcanoes VII Bangalore Masters won 17 gold coins against Jaipur Royals and the lsquoAwardrsquo involved in the match between Kolkata Riders and Hyderabad Volcanoes was 4 VIII The lsquoProfitrsquo of Jaipur Royals was equal to the lsquoLossrsquo of Hyderabad Volcanoes

21 How many matches did Jaipur Royals win (Write 5 if your answer is lsquoCannot be determinedrsquo)

22 How many matches did Chandigarh Kings lose (Write 5 if your answer is lsquoCannot be determinedrsquo)

23 What was the total lsquoProfitrsquo for Bangalore Masters (Write 56 if your answer is lsquoCannot be determinedrsquo)

24 Which team won three matches A Kolkata Riders B Chandigarh Kings C Hyderabad Volcanoes D Cannot be determined SET 7 The following table gives the information of the students in Class 7 Class 8 Class 9 and Class 10 in Vidyamandir Senior Secondary School Jaipur over the given period of 3 years

Each year a certain number of students either passed the exam failed the exam repeated the exam or did not appear for the exam Also the Number of students in any class C for any year Y = New admissions for that class + Number of students of class (C-1) who passed in the year (Y-1) + Number of students failing in class C in year (Y-1) + Number of students of class C who did not write the exam in year (Y-1) For instance Number of students in class 8 in year 2016 = New admissions for class 8 in 2016 + Number of students of class 7 who passed in the year 2015 + Number of students failing in class 8 in year 2015 + Number of students of class 8 who did not write the exam in year 2015 It is known that no person repeated the exam in the year 2015 Any student can proceed to next class only by passing the exam No student leaves the school in the year 2015 2016 and 2017 Pass percentage = Number of pass students Number of total students Further it is known

1 Number of students failed in class 7 in 2015 is same as Number of students failed in class 10 in 2016

2 85 of the total students passed in class 8 in 2016 3 Number of students failed in class 9 in 2015 is 25 less than that of class 7 in the same year 4 In class 7 in 2016 4 Students did not pass

25 What is the highest pass percentage in any class (among 7th 8th 9th and 10th) in any year

from 2015-2017 A 9333 B 9424 C 9535 D 96

26 How many new students got admission in year 2017 in class 9th A1 B2 C3 D None of these

27 How many total students did not write the exams in class 7th 8th 9th and 10th in the year 2016 A64 B58 C48 D44

28 What is the approximate pass percentage in 7th 8th 9th and 10th class combined in the year 2017 combined A85 B90 C95 D80 SET 8 ldquoExpression Publicationsrdquo publishes books in the categories of Computers Fiction Religion Humour Biography Crime Romance and 12 miscellaneous categories For the year 2007ndash2008 the sales volume of the 5 top ranked books which belong to the categories of Religion Humour Computers Romance and Biography were 5500 13000 18000 16000 and 7500 respectively and this contributed to 75 of the total sales volume The sales in the next fiscal year hiked spectacularly by 5625 with the books in the category of Humour contributing to 108 of the total sales volume in 2008ndash2009 The books in the categories of Computers Biography Fiction and Crime contributed 14 4 168 and 144 of the total sales volume in 2008ndash2009 The sales mentioned above are for the top five rated categories of books in the year 2008ndash2009 In 2007ndash2008 the sales of the miscellaneous categories was 15 of the total sales

29 If the increase in the sale of books in the category of Fiction in the year 2008ndash2009 is 400 with respect to previous year then what is the rank of the books in the category of Crime in the year 2007ndash2008 (considering that the sales of the number of books in the miscellaneous categories are equal) A6th B8th C7th D Cannot be determined

30 If the categories of books are ranked in the decreasing order of their sales in 2 years which of these books would rank 6th (the books in the miscellaneous category were not among the top seven for both the years) A Romance B Biography C Religion D Data insufficient

31 If the categories of books are ranked in the decreasing order of their sales in 2 years which of these books would rank 5th (the books in the miscellaneous category were not among the top seven for both the years) A Fiction B Crime C Romance D Cannot be determined

32 In the year 2007ndash2008 if the sale of category Fiction is ranked 6th then the total sale of the books on Crime in that year would be (Consider the total sale of number of books sold in each of the miscellaneous categories as equal)

A 4000 B More than 1000 but less than 4000 C Greater than 4000 D Cannot be determined SET 9 The total consumption of fertilisers in India in 1993ndash1994 was 52 lakh tonnes The total fertiliser market constitutes of 3 types of fertilisers viz nitrogen phosphate and potash In 1993ndash1994 nitrogen accounted for 65 of the total consumption while phosphate and potash were consumed in the ratio 2 1 The total consumption in 1995ndash1996 was 20 less than the total consumption for 1996ndash1997 while it was greater than the total for 1994ndash1995 by 10 The total consumption in 1994ndash1995 was 6 more than that in 1993ndash1994 The consumption of nitrogen fertiliser grew at a steady rate of 5 per annum over the previous years consumption The government has projected a 25 increase in total consumption in 1997ndash1998 over the 1996ndash1997 level The estimated production for 1997ndash1998 is 87 lakh tonnes

33 The individual consumption of nitrogen phosphate and potash fertiliser respectively in 1993ndash1994 (in lakh tonnes) were A31 14 7 B34 12 6 C28 16 8 D37 10 5

34 The total consumption of fertilisers in 1996ndash1997 was (in lakh tonnes) A6834 B7249 C8013 D7579

35 If the government was to import fertilisers to the extent of shortfall in production visndashandashvis the estimated consumption the total imports in 1997ndash1998 would amount to (in lakh tonnes) A984 B657 C777 D847

36 What percentage of the total consumption was attributed to nitrogen fertilisers in 1994ndash1995 A6439 B6573 C6017 D6247 SET 10 There are five friends A B C D and E The monthly salaries of A B C and D are Rs13000 Rs15000 Rs16000 and Rs20000 respectively The monthly salary of E is equal to the average salary of his other four friends The monthly savings of A is 10 of his monthly salary The monthly savings of B and C are equal and the same as 75 of the monthly savings of E D saves Rs1700 per month which is 85 of monthly savings of E

37 Find the monthly salary of E ARs13000 BRs12800 CRs32000 D None of these

38 How much does E save per month ARs1365 BRs2000 CRs1356 D None of these

39 What percent of his income does B save A10 B12 C95 D None of these

40 What is the average of the monthly savings of A B and C ARs1500 BRs1433 CRs2150 DRs2100 SET 11 A took a voluntary retirement on February 1st 2014 and received 10 lakhs as retirement benefits As on that day he also had Rs 3 lakhs in the bank Of the total amount he had 60 was invested in the bank which gives an annual compounded interest of 15 for three years Of the remaining part half was invested in shares which appreciated by 15 in the first year 6 in the second year and depreciated by 10 the next year The remaining part was invested in real estate The real estate values increased by 10 in the first year reduced by 10 in the next year and remained steady in the third year

41 What was the value (in rupees lakhs) of Arsquos investment on February 1st 2015 A 21 lakhs B 1482 lakhs C 1536 lakhs D 1597 lakhs

42 What was the approximate value (kin rupees lakhs) of his investment on 1st February 2017 A 1621 lakhs B 1682 lakhs C 17286 lakhs D 1787 lakhs

43 In which year did the investment show the maximum increase A First B Second C Third D Both (A) and (C) SET 12 A total of 1650 employees is working in a company in different departments The ratio of male employees to female employees in the organisation is 8679 There are total 5 departments in the company ie Product Development Sales and Marketing R amp D and Reinvestment Finance and HR Total 198 males work in Product Development department 18 employees work in Sales and Marketing department in which male to female ratio is 54 In Finance Department 77 males are working and the number of females in this department is 57th of the number of males The number of males in Sales and Marketing department is equal to the number of females in Product Development department The number of males in Finance department is half of the number of males in HR department Male to female ratio in R amp D and Reinvestment department is 1419

44 The number of males in R amp D and Reinvestment department is how much more than females in Product Development

45 Female in R amp D and Reinvestment department is what of the total number of females in the company (approximately)

46 The number of females in Finance department is what percent less than the number of females in Product Development department

SET 13 In a medical college there are 1600 students studying Dentistry and Homeopathy Each student from each course knows one or more languages out of English Hindi and Bengali 45 of the students study Dentistry and the remaining students study Homeopathy Out of the students studying Dentistry boys and girls are in the ratio 53 Out of the boys studying Dentistry 16 know only English 10 know only Hindi and 4 know only Bengali 24 know English as well as Hindi 20 know English as well as Bengali and 14 know Hindi as well as Bengali The remaining boys know all the three languages Out of the girls studying Dentistry 20 know only English 10 know only Hindi and 10 know only Bengali 20 know English as well as Hindi 20 know English as well as Bengali and 10 know Hindi as well as Bengali The remaining girls know all the three languages Out of the students studying Homeopathy boys and girls are in the ratio 47 Out of the boys studying Homeopathy 20 know only English 15 know only Hindi and 5 know only Bengali 15 know English as well as Hindi 25 know English as well as Bengali and 10 know Hindi as well as Bengali The remaining boys know all the three languages Out of the girls studying Homeopathy 15 know only English 15 know only Hindi and 5 know only Bengali 20 know English as well as Hindi 20 know English as well as Bengali and 15 know Hindi as well as Bengali The remaining girls know all the three languages

47 How many students studying Dentistry know only either English or Hindi A198 B117 C270 D156

48 How many students in the college know all the three languages A175 B170 C169 D270

49 What percent of the total number of girls in the college know Bengali A50 B55 C57 D60

50 How many students studying Homeopathy do not know English A198 B270 C288 D292 SET 14 A school has 400 students- boys and girls who are in the ratio of 35 The students speak Hindi English or both the languages 12 of the boys speak only Hindi 22 of the girls speak only English 24 of the total students speak only Hindi and the number of boys speaking both the languages is six times the number of boys speaking only Hindi

51 How many boys speak Hindi 52 How many girls speak only Hindi 53 How many students speak English 54 The number of girls speaking only Hindi is what percent of the total number of students

speaking only Hindi SET 15 People Power Corporation presently employs three Managers (A B and C) and five recruitment agents (D E F G and H) The company is planning to open a new office in San

Jose to manage placement of software professionals in the US It is planning to relocate two of the three managers and three of the five recruitment agents to the office at San Jose As it is an organization which is highly people oriented the management wants to ensure that the individuals who do not function well together should not be made as a part of the team going to the US The following information was available to the HR department of People Power Corporation Managers A and C are at each otherrsquos throat and therefore cannot be sent as a team to the new office C and E are excellent performers in their own right However they do not function together as a team They should be separated D and G have had a major misunderstanding during the last office picnic After the picnic these two have not been in speaking terms and should therefore not be sent as a team D and F are competing for a promotion that is due in another 3 months They should not be a team

55 If D goes to the new office which of the following is (are) true I C cannot go II A cannot go III H must also go A I only B II and III only C I and III only D I II and III

56 If A is to be moved as one of the Managers which of the following cannot be a possible working unit A ABDEH B ABFGH C ABEGH D ABDGH

57 If C and F are moved to the new office how many combinations are possible A 4 B 1 C 3 D 5

58 Given the group dynamics of the Managers and the recruitment agents which of the following is sure to find a berth in the San Jose office A B B H C G D E SET 16 Ghosh Babu took voluntary retirement in Dec 1991 and received a certain amount of money as retirement benefits On Jan 1 1992 he invested the entire amount in shares At the end of the month he sold all his shares and realised 25 profit On Feb 1 he reinvested the entire amount in shares which he sold at the end of the month at a loss of 20 Again he invested the entire amount on Mar 1 in a new company At the end of the month he sold the new company to a friend and realised a profit of 20 in the process He invested the entire amount in shares on Apr 1 which he sold at the end of the month for Rs 108000 incurring a loss of 10

59 What is the amount of retirement benefits received by Ghosh Babu A Rs 108000 B Rs 125000 C Rs 120000 D Rs 100000

60 The percentage profit received by Ghosh Babu between Jan 1 and Apr 30 is A 800 B 1500 C - 1000 D None of these

61 The amount of loss incurred by Ghosh Babu based on his operation in Apr 1992 is A Rs 25000 B Rs 12000 C Rs 20000 D Rs 8000

62 The maximum amount invested by Ghosh Babu in any one month was in A January B February C March D April SET 17 A school consisting of a total of 1560 students has boys and girls in the ratio of 7 5 respectively All the students are enrolled in different types of hobby classes viz Singing Dancing and Painting One-fifth of the boys are enrolled in only Dancing classes Twenty per cent of the girls are enrolled in only Painting classes Ten percent of the boys are enrolled in

only Singing classes Twenty-four per cent of the girls are enrolled in both Singing and Dancing classes together The number of girls enrolled in only Singing classes is two hundred per cent of the boys enrolled in the same One-thirteenth of the boys are enrolled in all the three classes together The respective ratio of boys enrolled in Dancing and Painting classes together to the girls enrolled in the same is 2 1 respectively Ten per cent of the girls are enrolled in only Dancing classes whereas eight per cent of the girls are enrolled in both Dancing and Painting classes together The remaining girls are enrolled in all the three classes together The number of boys enrolled in Singing and Dancing classes together is fifty per cent of the number of girls enrolled in the same The remaining boys are enrolled in only Painting classes

63 Total number of girls enrolled in Singing is approximately what per cent of the total number of students in the school A 37 B 19 C 32 D 26

64 What is the respective ratio of the number of girls enrolled in only Painting classes to the number of boys enrolled in the same A 77 26 B 21 73 C 26 77 D 73 21

65 Number of girls enrolled in only Dancing classes is what per cent of the boys enrolled in the same A 3867 B 3571 C 4183 D 2862

66 What is the total number of boys who are enrolled in Dancing A 318 B 364 C 292 D 434 SET 18 Not surprisingly the growth of the hotel industry is driven by the increase in the number of people using hotels and the increase in per person use of the hotel In 2004 it is expected that there will be 200 million hotel users in India or about 20 per cent of the population will generate Rs 50 billion in hotel revenues Industry revenues should expand from Rs 50 billion to Rs 150 billion by 2008 while the number of users should grow to over 560 million or to about half the population of India in the same period

67 What is the estimated population of India in 2004 A 98 crore B 100 crore C 110 crore D 115 crore

68 What will be the simple average growth rate of population of India in the given period 2004-2008 A 2

B 3 C 4 D 45

69 What will be the growth in percentage of users in India by 2008 A 100 B 150 C 180 D 200

70 What will be the percentage growth of the revenues of the hotel industry in the given period A 200 B 230 C 260 D 300 SET 19 Bihar and Orissa are the most deprived states of India While they contain one-fifth of Indiarsquos population they have almost one-third of Indiarsquos illiterates In 1998 only a small fraction of Orissa and Biharrsquos population was literate versus 85 per cent of Keralarsquos population More than two-thirds of the births are not attended by any medical facility 110th of the infants born in Orissa and Bihar die in infancy and an equal number before reaching the age of five Almost 90 per cent of the under five deaths are due to malnutrition From amongst the lucky kids who have survived for the first five years 13rd of them work as child labourers and only half of the remaining are sent to school Of those who attend classed only 40 per cent are able to reach Std V In India 30 per cent of the children under 16 work as labourers Orissa and Bihar contain 13rd of the child labourers in India India has the largest population of child labourers which is 115th of its total population In Orissa and Bihar out of 100 children enrolled in school 32 are girls And out of 100 who attend Std X only 10 are girls Only 38 out of 100 Indian women are literate versus 57 per cent of males Even in wealthy states such as Punjab girls suffer from malnutrition seven times more than boys do The total population of the country was 90 crore in 1998 and the ratio of male to female in India was 10 to 9

71 According to the information provided what percentage of the infants in Orissa and Bihar attend Std V A 1133 B 1066 C 1333 D 1233

72 The number of child labourers in India in 1998 are A 15 crore B 16 crore C 12 crore D 6 crore

73 The Orissa and Bihar out of 100 born approximately how many children work as child labourers A 27 B 32 C 13 D 38

74 What percentage of girl children enrolled in school reach Std X in Orissa and Bihar

A 10 B 32 C 60 D Insufficient data SET 20 AMS Inc is the leader in selling ideas universe wide but its maximum revenue comes from three principal planets only viz Earth Mars Jupiter Further it has three products viz CSP CC and CP In a particular year the number of units sold had a distribution as follows The number of units of CCs sold on Mars was 12 per cent of the number of units of CPs sold on Earth The number of units of CPs sold on Jupiter was 1000 Total number of CC units sold was 2600 Total number of CP units was 200 higher than that of the total number of units of CCs sold The number of units of CSP sold on Mars was 10 per cent of the number of units of CP sold on Jupiter The number of units of CSP sold on Earth was 2000 The number of units of CC sold on Earth was 15 per cent of the number of units CSP sold on Jupiter The prices of the units on the different planets were as follows Earth rarr Rs 15 per unit Mars rarr Rs 10 per unit Jupiter rarrRs 8 per unit The number of units of CSP sold on Jupiter was 300 The number of units of CP sold on Earth was 600

75 The number of units of CC sold on Jupiter is A 1520 B 2483 C 3423 D 600

76 The revenue generated on Earth is greater than that generated on Jupiter by about A Rs 8000 B Rs 9000 C Rs 10000 D None of these

77 The overall revenue generated is the highest from A CSPs B CP C CCs D Canrsquot be determined SET 21 An organization consists of 3500 employees working in different departments viz HR Marketing IT Production and Accounts The ratio of male to female employees in the organisation is 3 2 8 of the males work in the HR department 22 of the female work in the account department The ratio of males to females working in the HR department is 3 5 Oneseventh of the females work in the IT department 46 of the males work in the

Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

78 The number of males working in the Account department forms approximately what percent of the total number of males in the organisation A 6 B 8 C 10 D 11

79 How many females work in Production department A 140 B 200 C 180 D None

80 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A 28 B 32 C 29 D 31

81 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A 15 8 B 1 2 C 8 15 D 2 1

SET 22 A B and C started a business by investing Rs 800 Rs 1600 and Rs 2000 respectively After a quarter they invested amounts in a ratio 1 4 2 After another quarter they invested amounts in ratio 3 2 3In the last quarter the ratio of investments was same as in 2nd quarter Also in the last quarter the respective amounts of A B and C was double than the respective amounts invested in 2nd quarter The total investment of C before 4th quarter was Rs 1400 more than that of A during same duration Also ratio of Brsquos share in profit to total profit at the end of year was 66 153

82 Find the total investment of A B and C A Rs 10200 B Rs 11300 C Rs 9800 D Rs 10080

83 If they respectively had invested same amounts in each quarter after quarter 1 which is equal to their respective investments in quarter 1 then what would be the profit of A at the end of year out of a total profit of Rs 19350 A Rs 2510 B Rs 3320 C Rs 2560 D Rs 3150

84 If the respective investments in third quarter was changed and this was in ratio 2 4 1 (other investments being the same) then what would be the total investment of all three in third quarter if the average investment of all A B and C was Rs 3100 for whole year A Rs 500 B Rs 800 C Rs 700 D Rs 900 SET 23 The total population of village satana is 3550 out of which 36 people are below poverty line The total population of Satana is 11 frac14 less than the total population of amin while there are 29 people in amin who lives below poverty line In Nilokheri the people living below poverty line are 40 more than that in amin which is 40 of the total population of this village The average population of Gharaunda and Samalkha is equal to the average population of amin and Nilokheri while the difference between their population is 1800 (Village Samalkha is more populated) 47 of the population of Gharaunda are below poverty line Overall 46 of the population of all villagesrsquo together lives below poverty line

85 What percent of population of Samalkha lives above poverty line (Approximate) A 26 B 27 C 28 D 29

86 Find the approximate average no of people below poverty line in the given villages A 1610 B 1620 C 1615 D 1320

87 If 35 of the BPL population of Nilokheri are children while 30 of the overall population of this village are children Then what percent of population above poverty line are children A 25 B 30 C 26 13 D 26 23

88 What is the difference between total population of Nilokheri and that of Gharaunda A 300 B 200 C 250 D 400

SET 24

Gaurav a sweet seller bought some quantity of three types of sweets Rasgulla Rasmalai and Kalakand in ratio of 6 10 9 Kalakand costed him a total of Rs 18900 at rate of 420 per kg By selling Kalakand at a discount of 5 he earned a profit of 13 221 On Rasmalai (which was marked Rs 500 per kg) he earned Rs 5 less profit per kg as compared to that on Kalakand by selling Rasmalai at 10 discount Gaurav spent a total of Rs 46400 on buying these sweets while he earned a total profit of Rs 5875 on selling all bought sweets Rasgullas were marked 40 above cost price per kg

89 What is the difference between the number of Accord cars sold by dealers D and E together

and the number of City cars sold by dealers B and F together A 3658 B 3712 C 4205 D 3252

90 If Gaurav gave an extra discount of 20 on Kalakand then his gain or loss was

A 9 11

21 profit B 8

11

21 loss C 10

11

23 loss D 9

11

21 loss

91 Find the total quantity of sweets bought by Gaurav A 135 kg B 126 kg C 125 kg D 120 kg

92 If 10kg of Rasmalai was wasted away due to some reason Find profit or loss by selling the remaining Rasmalai as per given condition A 10 loss B 10 gain C 12 loss D 15 loss SET 25 An organization consists of 3500 employees working in different departments viz HR Marketing IT Production and Accounts The ratio of male to female employees in the organisation is 3 2 8 of the males work in the HR department 22 of the female work in the account department The ratio of males to females working in the HR department is 3 5 One-seventh of the females work in the IT department 46 of the males work in the Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

93 The number of males working in the Account department forms approximately what per cent of the total number of males in the organisation A 6 B8 C10 D11

94 How many females work in Production department A 140 B200 C180 DNone of these

95 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A28 B30 C29 D31

96 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A158 B12 C815 D21 SET 26

In the recently held Commonwealth Games a total number of 500 players participated in five different games viz Athletics Hockey Lawn Tennis Rugby and Badminton 15 of the total players participated in Badminton 25 of the total players participated in Hockey 6 of the total players participated in Lawn Tennis and 25 of the total players participated in Athletics The remaining players participated in Rugby One-fourth of the Hockey players are females 20 of the Badminton players are males Half of the players who participated in Lawn Tennis are males There are 55 female athletes No female player participated in Rugby

97 The number of female players who participated in Badminton is approximately what per cent of the total number of players who participated in Rugby A82 B80 C86 D76

98 What is the difference between the number of male players who participated in Hockey and the number of female players who participated in Lawn Tennis A125 B145 C130 D135

99 If due to certain reason Athletics was dropped and all the athletes left the tournament then what was the percentage of male players among the total players remaining in the tournament A4566 B4033 C3533 DNone of these

100 What is the ratio of the total number of male players participating in Badminton to the total number of female players participating in Hockey A353 B310 C510 D325 SET 27 The premises of an institute are to be renovated Only the floor is to be renovated either with marble or with wood All rooms halls and pantry are rectangular The area to be renovated comprises a hall measuring 33m by 39m The directorrsquos room measures 13m by 12m and the pantry measures 14m by 12m A record keeping-cum-server room measures 23m by 13m and the accounts room measures 12m by 23m The total area of the institute is 2500 square metres The cost of wooden flooring is Rs 170 per square metre and the cost of marble flooring is Rs 190 per square metre The accounts room the record keeping-cum-server room and the pantry are to be floored with marble The directorrsquos room and the hall are to be floored with wood

101 What is the ratio of the total cost of wooden flooring to the total cost of marble flooring A 1443 735 B 8177 4655 C 1443 4655 D 24531 14117

102 If four walls and ceiling of the room (the height of the room is 15 metres) are to be painted at the cost of Rs 190 per square metre how much will be the total cost of renovation of the directorrsquos room including the cost of flooring A 198660 B 178680 C 198880 D 22876

103 If the remaining area of the institute is to be carpeted at the rate of Rs 210 per square metre by how much will the cost of renovation of institute premises increase A 75000 B72840 C65940 D 75940

104 What is the percentage area of the institute that is not to be renovated A1644 B1356 C1455 D1256

SET 28 A total of 1650 students are studying in an engineering college in different departments The ratio of male students to female students in the college is 8679 The college had a total of 5 departments which are mechanical civil electrical Biotechnology and computer science Total 198 males study in the mechanical department 18 students study in the civil department in which male to female ratio is 54 In the biotechnology department 77 male students are studying and the number of female students in this department is 57th of the number of males The total number of male students in the civil department is equal to the number of female students in the mechanical department The number of males in biotechnology department is half of the number of total male students in computer science department In the electrical department the male to female ratio is 1419

105 The number of male students in electrical department is how much more than female students in mechanical

106 Female students in electrical department is what of the total number of females in the college (approximately) SET 29 During the period 1990-91 to 1994-95 the unit sales of Motorcycles witnessed a simple average growth rate of 45 and the unit price experienced a simple average growth rate of 41 In the year 1990-91 amp 1992-93 the selling price of motorcycle was Rs 50000 The unit selling price rose by Rs 2500 each in the years 1991-92 and 1994-95 Between 1990-91 and 1992-93 unit sales increased by 155 In 1992-93 approx 2888 units and in 1993-94 3000 units were sold In 1991-92 the sales increased by Rs 1281 crore and number of units sold increased by 125

107 The rupee sales of the motorcycles in 1990-91 is A Rs 180crore B Rs 125crore C Rs 135crore D Rs 100crore

108 How many motorcycles were sold in 1991-92 A 2500 B 2625 C 3050 D 4000

109 How many motorcycles were sold during the period 1990-91 to 1994-95 A 15025 B 14005 C 14076 D 15000

110 What is the selling price of a motorcycle in 1993-94 A Rs 50000 B Rs 52500 C Rs 57750 D Rs 60000

SET 30 Mlon huskthe space Y inventor took his team of scientist to newly found planetrdquoEuro Chandrdquo The team agreed on the condition that they will not do any research during their visit but will only do rest But Husk as per his nature observed various phenomenon on new planet including the gravitational pull He observed that a kg on earth is equivalent to 12 kg on Euro chand except kg on new planet is called Euroc Slen weighs 552 Euroc weighs heavier than all except Plen who weighs 108 Euroc more Olen the lightest weighs 252 Euroc less than Dlen Jlen weighs 48 Euroc less than Slen and 48 Euroc more than Dlen

111 What is the weight of Plen (in Kg) A55 B46 C17 D48

112 What is the weight of Olen (in Euronc ) A505 B246 C218 D204

113 Approximately how many times is the weight of Plen that of Dlen A145 B107 C218 D214

114 Weight of Dlen is what moreless than weight of Jlen

A111 B108 C95 D121 SET 31 In a MNC there are 5000 employees In that there are 6 departments ie Accounts department maintenance-admin department HR department production department RampD department marketing department In maintenance- admin department there is 15 of total number of employees In that 40 are females Total number of persons working in RampD department is equal to total number of males working in maintenance department Male to female ratio of RampD is 45In production department 1500 persons are working there are males only In HR department the number of persons working is 15 of number of persons working in production department where 80 are females The number of people working in Accounts department is 60 of production department in that number of females are 550 The number of female in marketing department 500

115 Total number of males in RampD department is what percentage of total number of males in the marketing department A50 B 375 C 33 13 D1007

116 What is the percentage increasedecrease in total number of females in HR department to the total number of males in maintenance ndash admin department A5334 increase B5334 decrease C4666 increase D4666decrease

117 What is the difference between total number of males in marketing department to total number of females in the accounts department A75 B50 C60 D90

118 What is the ratio of total number of males in HR department to the total number of females in maintenance ndash admin department A15 B27 C35 D47 SET 32

According to A the census has been taken by the Government for literacy rate in two villages

A and B total population is 6 00000 In which the ratio between total numbers of males to

total number of females is 53 and the ratio of total population in village A to village B is 1713

The ratio of number of males in village A to number of males in village B is 78Total Ratio of

literate to illiterate (in men) 41 Out of total women only 35 are literates Total percentage

of adults is 80 ( m f = 53) in total population and in remaining 10 are children all other

peoples are senior citizens

119 What is the difference between literate people to total number of senior citizens

A378750 B78750 C270750 D221250

120 Total number of literate males in village A (if 45 of literate males are in Village A) is what percentage of total number of illiterate Females (Approximately) A97 B92 C89 D85

121 What is the ratio of males in village B to Adult females in the survey A54 B45 C910 D109

122 What is the increasedecrease in percentage of total number children to the

difference between the populations of village A to village B

A85 decrease B 85 increase C 95 increase D95 decrease

SET 33 Acity consists of 2400 employees working in different IT companies viz TCS Infosys Wipro Tech Mahindra and Oracle The ratio of male to female employees in the city is 5 3 respectively Twelve per cent of the males work in the TCS Company Twenty four per cent of the females work in the Oracle Company The ratio of males to females working in the TCS company is 6 11 respectively One-ninth of the females work in the Wipro Company Forty two percent of the males work in the Tech Mahindra Company Number of females working in the Tech Mahindra Company is ten percent of the males working in the same The remaining females work in the Infosys Company The total number of employees working in the Wipro Company is 285 Twenty two percent of the males work in the Infosys Company and the remaining work in the Oracle Company

123 The number of females working in the Tech Mahindra Company TCS Company and Infosys company together forms what percent of the total number of females in the City A6488 B5765 C 4896 D7527

124 The total number of females working in the TCS and Infosys Company together

forms what percent of the total number of employees in Tech Mahindra Company

A7018 B8047 C 7526 D7518

125 What is the difference between the number of males in Infosys Company and

number of females to the Oracle Company together to the number of males in Tech

Mahindra Company and number of females to the TCS Company together

A434 B427 C404 D414

126 The number of males working in the Wipro Company and the number of females

working in the Infosys Company together forms approximately what percent of the total

number of males in the City (Rounded off the nearest percentage)

A50 B25 C21 D18

SET 34

A School consisting of a total of 1560 students has boys and girls in the ratio of 7 5

respectively All the students are enrolled for different country tours viz Russia Switzerland

and Japan One-fifth of the boys are enrolled for only Switzerland tour Twenty percent of

the girls are enrolled for only Japan tour Ten percent of the boys are enrolled for only Russia

tour Twenty four percent of the girls are enrolled for both Russia and Switzerland tour

together The number of girls enrolled for only Russia tour is two hundred percent of the

boys enrolled in the same One-thirteenth of the boys are enrolled for all the three tour

together The respective ratio of boys enrolled for Switzerland and Japan tour together to

the girls enrolled for the same is 2 1 respectively Ten percent of the girls are enrolled for

only Switzerland tour whereas eight percent of the girls are enrolled for both Switzerland

and Japan tour together The remaining girls are enrolled for all the three tour together The

number of boys enrolled for Russia and Switzerland tour together is fifty percent of the

number of girls enrolled for the same The remaining boys are enrolled for only Japan tour

127 What is the respective ratio of the number of girls enrolled for only Japan tour and

number of boys enrolled for Switzerland tour together to the number of boys enrolled for

the Japan tour and number of girls enrolled for Switzerland tour together

A7752 B7552 C5275 D5277

128 Number of girls enrolled for only Switzerland Russia and Japantour together is what

percent of the boys together enrolled for the same (Rounded off to two digits after

decimal)

A3757 B5729 C6193 D5522

129 What is the total number of students enrolled for all the three tour and number of

girls enrolled for Switzerland and Russia tour together and number of boys enrolled for

Switzerland and Japan tour together

A395 B2415 C385 D390

130 What is the sum of the total number of boys who are enrolled for Switzerland and

the total number of girls who are enrolled for same tour together

A872 B752 C802 D772

SET 35

A radio station surveyed 200 students to determine the types of music they liked There are

three types of music rock music folk music and classical music The survey revealed that 57

percent liked rock music 25 percent liked folk music and 205 percent liked classical music 14

students liked rock music and folk music 15 students liked rock music and classical music 6

students liked only classical music and folk music 90 of them liked only rock music

131 How many of them liked folk music but not rock music

A36 B41 C30 D44

132 How many of them liked any two types of music only

A15 B16 C19 D25

133 How many students did not like any of the three types

A35 B40 C30 D25

134 What is the ratio of who liked rock and classical music together to the ratio of who

liked only folk music

A51 B3110 C316 D125

SET 36

In a shopping mall there are three different varieties of dress materials Cotton Silk and

Chiffon There are 300 customers visited the Shop 50 of customers purchased Cotton

material 40 of customers purchased Chiffon material and 60 of customers purchased Silk

material The customers who purchased any of two dress materials are 90 20 of

customers who purchased Cotton also purchased other two materials The customers who

purchased only Silk material are 20 more than that of who purchased only Chiffon material

30 Customers are purchased only Silk and Chiffon material

135 How many of them purchased only one variety of dress material

A150 B180 C120 D160

136 How many of them purchased at least two types of dress materials

A90 B100 C120 D140

137 What is the percentage of the customers who purchased only Silk material to that of

the customers who purchased all types of dress material

A30043 B30553 C35523 D23333

138 How many of them did not purchase any of the three types of materials

A10 B15 C5 D None

SET 37

In a sports event six teams (A B C D E and F) are competing against each other Matches

are scheduled in two stages Each team plays three matches in stage ndash I and two matches in

Stage ndash II No team plays against the same team more than once in the event No ties are

permitted in any of the matches The observations after the completion of Stage ndash I and

Stage ndash II are as given below

Stage-I

bull One team won all the three matches

bull Two teams lost all the matches

bull D lost to A but won against C and F

bull E lost to B but won against C and F

bull B lost at least one match

bull F did not play against the top team of Stage-I

Stage-II

bull The leader of Stage-I lost the next two matches

bull Of the two teams at the bottom after Stage-I one team won both matches while the

other lost both matches

bull One more team lost both matches in Stage-II

139 The two teams that defeated the leader of Stage-I are

A F amp D B E amp F C B amp D D E amp D

140 The only team(s) that won both matches in Stage-II is (are)

A B B E amp F C A E amp F D B E amp F

141 The teams that won exactly two matches in the event are

A A D amp F B D amp E C E amp F D D amp F

142 The team(s) with the most wins in the event is (are)

A A B A amp C C B amp E D E

SET 38

Two traders Chetan and Michael were involved in the buying and selling of MCS shares

over five trading days At the beginning of the first day the MCS share was priced at ₹100

while at the end of the fifth day it was priced at ₹110 At the end of each day the MCS share

price either went up by ₹10 or else it came down by ₹10 Both Chetan and Michael took

buying and selling decisions at the end of each trading day The beginning price of MCS share

on a given day was the same as the ending price of the previous day Chetan and Michael

started with the same number of shares and amount of cash and had enough of both

Below are some additional facts about how Chetan and Michael traded over the five trading

days

middot Each day if the price went up Chetan sold 10 shares of MCS at the closing price On the

other hand each day if the price went down he bought 10 shares at the closing price

middot If on any day the closing price was above ₹110 then Michael sold 10 shares of MCS

while if it was below ₹90 he bought 10 shares all at the closing price

143 If Chetan sold 10 shares of MCS on three consecutive days while Michael sold 10

shares only once during the five days what was the price of MCS at the end of day 3

A ₹ 90 B ₹100 C ₹110 D ₹120

144 If Chetan ended up with ₹1300 more cash than Michael at the end of day 5 what

was the price of MCS share at the end of day 4

A ₹90 B ₹100 C ₹110 D₹120

145 If Michael ended up with 20 more shares than Chetan at the end of day 5 what was

the price of the share at the end of day 3

A₹90 B ₹100 C ₹110 D ₹120

146 If Michael ended up with ₹100 less cash than Chetan at the end of day 5 what was

the difference in the number of shares possessed by Michael and Chetan (at the end of day

5)

A Michael had 10 less shares than Chetan

B Michael had 10 more shares than Chetan

C Chetan had 10 more shares than Michael

D Both had the same number of shares

SET 39

Bankatlal acted as a judge for the beauty contest There were four participants viz Ms

Andhra Pradesh Ms Uttar Pradesh Ms West Bengal and Ms Maharashtra Mrs Bankatlal

who was very anxious about the result asked him about it as soon as he was back home

Bankatlal just told that the one who was wearing the yellow saree won the contest When

Mrs Bankatlal pressed for further details he elaborated as follows

I All of them were sitting in a row

II All of them wore sarees of different colors viz Green Yellow White Red

III There was only one runner up and she was sitting beside Ms Maharashtra

IV The runner up was wearing the Green saree

V Ms West Bengal was not sitting at the ends and was not a runner up

VI The winner and the runner up are not sitting adjacent to each other

VII Ms Maharashtra was wearing white saree

VIII Ms Andhra Pradesh was not wearing the Green saree

IX Participants wearing Yellow saree and White saree were at the ends

147 Who wore the Red saree A Ms Andhra Pradesh B Ms West Bengal C Ms Uttar Pradesh D Ms Maharashtra

148 Ms West Bengal was sitting adjacent to A Ms Andhra Pradesh and Ms Maharashtra B Ms Uttar Pradesh and Ms Maharashta C Ms Andhra Pradesh and Ms Uttar Pradesh D Ms Uttar Pradesh only

149 Which saree was worn by Ms Andhra Pradesh A Yellow B Red C Green D White

150 Who was the runner up

A Ms Andhra Pradesh B Ms West Bengal

C Ms Uttar Pradesh D Ms Maharashta

SET 40

Ghosh Babu goes to a casino in Kay - Kay islands where he comes across an interesting game

of cards The visitor playing the game is called the player amp the clubman is called the dealer

The rules of the game are as follows First the player picks the card This card is called the

base card amp the number on the face of the card is called the base value of the card Ace

King Queen amp Jack all have base value of 10 The dealer pays the player same number of

rupees as the base value of the card Now the dealer picks a card amp This is called the top

card If topcard is of the same suite then the player pays the dealer double the amount of

base value If it is of the same colour but not the same suite then the player pays the dealer

the amount of a bse value If it is of different colour then the dealer pays the player the

amount of base value Ghosh Babu plays the game 4 times First time he draws 8 of club amp

the dealer draws jack of club Second time he draws 10 of hearts amp the dealer draws 2 of

spade Third time he draws 6 of diamond amp the dealer draws 1 of heart Finally Ghosh Babu

draws 8 of spade and the dealer draws ace of the spade

151 If Ghosh Babu should leave the game when his profit is maximum then what is that

profit

A 12 B 18 C 20 D None of these

152 If Ghosh Babu did not have to borrow any money from anyone then what is the

minimum amount that he could have started with

A 16 B 24 C 8 D None of these

153 If Ghosh Babu is left with 100 rupees now what is the amount that he had started

with

A 120 B 104 C 96 D None of these

SET 41

Twenty one participants from four continents (Africa Americas Australasia and Europe)

attended a United Nations conference Each participant was an expert in one of four fields

labour health population studies and refugee relocation The following five facts about the

participants are given

I The number of labour experts in the camp was exactly half the number of experts in each

of the three other categories

II Africa did not send any labour expert Otherwise every continent including Africa sent at

least one expert for each category

III None of the continents sent more than three experts in any category

IV If there had been one less Australasian expert then the America would have had twice

many experts as each of the other continents

V Mike and Alfanso are leading experts of population studies who attended the conference

They are from Australasia

154 Which of the following numbers cannot be determined from the information given

A Number of labour experts from the Americas

B Number of health experts from Europe

C Number of health experts from Australasia

D Number of experts in refugee relocation from Africa

155 Which of the following combinations is NOT possible

A 2 experts in population studies from the Americas and 2 health experts from Africa

attended the conference

B 2 experts in population studies from the Americas and 1 health expert from Africa

attended the conference

C 3 experts in refugee relocation from the Americas and 1 health expert from Africa

attended the conference

D Africa and America each had 1 expert in population studies attending the conference

156 If Ramos is the lone America expert in population studies which of the following is

NOT true about the numbers of experts in the conference from the four continents

A There is one expert in health from Africa

B There is one expert in refugee relocation from Africa

C There are two experts in health from the Americas

D There are three experts in refugee relocation from the Americas

157 Alex an American expert in refugee relocation was the first keynote speaker in the

conference What can be inferred about the number of American experts in refugee

relocation in the conference excluding Alex (i) At least one (ii) Atmost two

A Only (i) and not (ii) B Only (ii) and not (i)

C Both (i) and (ii) D Neither (i) nor (ii)

SET 42

Help Distress (HD) is an NGO involved in providing assistance to people suffering from

natural disasters Currently it has 37 volunteers They are involved in three projects

Tsunami Relief (TR) in Tamil Nadu Flood Relief (FR) in Maharashtra and Earthquake Relief

(ER) in Gujarat Each volunteer working with Help Distress has to be involved in at least one

relief work project

bull A Maximum number of volunteers are involved in the FR project Among them the

number of volunteers involved in FR project alone is equal to the volunteers having

additional involvement in the ER project

bull The number of volunteers involved in the ER project alone is double the number of

volunteers involved in all the three projects

bull 17 volunteers are involved in the TR project

bull The number of volunteers involved in the TR project alone is one less than the number of

volunteers involved in ER project alone

bull Ten volunteers involved in the TR project are also involved in at least one more project

158 Based on the information given above the minimum number of volunteers involved

in both FR and TR projects but not in the ER project is

A 1 B 3 C 4 D 5

159 Which of the following additional information would enable to find the exact

number of volunteers involved in various projects

A Twenty volunteers are involved in FR B Four volunteers are involved in all the three projects C Twenty three volunteers are involved in exactly one project D No need for any additional information

160 After some time the volunteers who were involved in all the three projects were

asked to withdraw from one project As a result one of the volunteers opted out of the TR

project and one opted out of the ER project while the remaining ones involved in all the

three projects opted out of the FR project Which of the following statements then

necessarily follows

A The lowest number of volunteers is now in TR project B More volunteers are now in FR project as compared to ER project C More volunteers are now in TR project as compared to ER project D None of the above

161 After the withdrawal of volunteers as indicated in Question 85 some new

volunteers joined the NGO Each one of them was allotted only one project in a manner such

that the number of volunteers working in one project alone for each of the three projects

became identical At that point it was also found that the number of volunteers involved in

FR and ER projects was the same as the number of volunteers involved in TR and ER projects

Which of the projects now has the highest number of volunteers

A ER B FR C TR D Cannot be determined

SET 43

Mathematicians are assigned a number called Erdoumls number (named after the famous

mathematician Paul Erdoumls) Only Paul Erdoumls himself has an Erdoumls number of zero Any

mathematician who has written a research paper with Erdoumls has an Erdoumls number of 1 For

other mathematicians the calculation of hisher Erdoumls number is illustrated below

Suppose that a mathematician X has co-authored papers with several other mathematicians

From among them mathematician Y has the smallest Erdoumls number Let the Erdoumls number

of Y be y Then X has an Erdoumls number of y + 1 Hence any mathematician with no co-

authorship chain connected to Erdoumls has an Erdoumls number of infinity In a seven day long

mini-conference organized in memory of Paul Erdoumls a close group of eight mathematicians

call them A B C D E F G and H discussed some research problems At the beginning of the

conference A was the only participant who had an infinite Erdoumls number Nobody had an

Erdoumls number less than that of F

bull On the third day of the conference F co-authored a paper jointly with A and C This

reduced the average Erdoumls number of the group of eight mathematicians to 3 The Erdoumls

numbers of B D E G and H remained unchanged with the writing of this paper Further no

other co-authorship among any three members would have reduced the average Erdoumls

number of the group of eight to as low as 3

bull At the end of the third day five members of this group had identical Erdoumls numbers while

the other three had Erdoumls numbers distinct from each other

bull On the fifth day E co-authored a paper with F which reduced the grouprsquos average Erdoumls

number by 05 The Erdoumls numbers of the remaining six were unchanged with the writing of

this paper

bull No other paper was written during the conference

162 The Erdoumls number of C at the end of the conference was

A 1 B 2 C 3 D 4

163 The Erdoumls number of E at the beginning of the conference was

A 5 B 6 C 7 D 8

164 How many participants had the same Erdoumls number at the beginning of the

conference

A 2 B 3 C 4 D 5

SET 44

K L M N P Q R S U and W are the only ten members in a department There is a proposal

to form a team from within the members of the department subject to the following

conditions

bull A team must include exactly one among P R and S

bull A team must include either M or Q but not both

bull If a team includes K then it must also include L and vice versa

bull If a team includes one among S U and W then it must also include the other two

bull L and N cannot be members of the same team

bull L and U cannot be members of the same team

The size of a team is defined as the number of members in the team

165 Who can be a member of a team of size 5

A K B L C M D P

166 Who cannot be a member of a team of size 3

A L B M C N D P

167 What could be the size of a team that includes K

A 2 or 3 B 2 or 4 C 3 or 4 D Only 4

168 In how many ways a team can be constituted so that the team includes N

A 2 B 3 C 4 D 6

SET 45

(i) There are three houses on each side of the road

(ii) These six houses are labeled as P Q R S T and U

(iii) The houses are of different colours namely Red Blue Green Orange Yellow and

White

(iv) The houses are of different heights

(v) T the tallest house is exactly opposite to the Red coloured house

(vi) The shortest house is exactly opposite to the Green coloured house

(vii) U the Orange coloured house is located between P and S

(viii) R the Yellow coloured house is exactly opposite to P

(ix) Q the Green coloured house is exactly opposite to U

(x) P the White coloured house is taller than R but shorter than S and Q

169 Which is the second tallest house

A P B S C Q D cannot be determined

170 What is the colour of the house diagonally opposite to the Yellow coloured house

A White B Blue C Green D Red

171 What is the colour of the tallest house

A Red B Blue C Green D Yellow

SET 46

A leading socialite decided to organise a dinner and invited a few of her friends Only the

host and the hostess were sitting at the opposite ends of a rectangular table with three

persons along each side The pre-requisite for the seating arrangement was that each person

must be seated such that atleast on one side it has a person of opposite sex Maqbool is

opposite Shobha who is not the hostess Ratan has a woman on his right and is sitting

opposite a woman Monisha is sitting to the hostessrsquos right next to Dhirubhai One person is

seated between Madhuri and Urmila who is not the hostess The men were Maqbool Ratan

Dhirubhai and Jackie while the women were Madhuri Urmila Shobha and Monisha

172 The eighth person present Jackie must be I the host II seated to Shobarsquos right III

seated opposite Urmila

A I only B III only C I and II only D II and III only

173 Which of the following persons is definitely not seated next to a person of the same

sex

A Maqbool B Madhuri C Jackie D Shobha

174 If Ratan would have exchanged seats with a person four places to his left which of

the following would have been true after the exchange

I No one was seated between two persons of the opposite sex (eg no man was seated

between two women)

II One side of the table consisted entirely of persons of the same sex

III Either the host or the hostess changed seats

A I only B II only C I and II only D II and III only

175 If each person is placed directly opposite his or her spouse which of the following

pairs must be married

A Ratan and Monisha B Madhuri and Dhirubhai

C Urmila and Jackie D Ratan and Madhuri

SET 47

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

1 Which of the following cannot be a valid cumulative score that a student could have

obtained at the end of 10 questions in that section A43 B34 C27 D30

2 Which of the following can be a valid score that a student could have obtained in the section if it is known that heshe attempted 28 questions in the section A62 B74 C86 D98

3 It is known that a student scored exactly 100 marks in the section What can be the maximum number of questions that the student could have attempted (either correctly or incorrectly) in the section (Write 35 if it is not possible to score 100 marks in the section)

4 It is known that a student scored exactly 100 marks in the section What can be the minimum number of questions that a student could have attempted (either correctly or incorrectly) in the section (Write 35 if it is not possible to score 100 marks in the section) SET 2 Adam and Paco together play a game In each round of the game each of them wagers $1 Game-master Gogo tosses an unbiased six faced die and the result is decided as follows For Adam If the number is 2 or less he loses the $1 he had wagered If the number is 5 or more he gains $1 Otherwise he has no gain or loss For Paco If the number is a perfect square he loses $1 If the number is divisible by 3 he gains $1 Otherwise he has no gain or loss Example If the die shows number 1 both the players give $1 to Gogo If the die shows number 5 Gogo gives $1 only to Adam

5 If both Adam and Paco initially have $5 and after exactly 5 rounds both have lost all the money they initially had then what could be the sum of the numbers rolled in the 5 rounds A5 B7 C10 D15

6 If both Adam and Paco start the game with equal amounts with them and play three rounds then what is the maximum possible difference between the amounts with them at the end given that the numbers rolled in all three rounds were different A $4 B $3 C $2 D $1

7 If both Adam and Paco start the game with $10 and after four rounds the amounts with Adam and Paco are $13 and $12 respectively then the sum of the numbers rolled in the four rounds is A19 B20 C22 D Cannot be determined

8 If both Adam and Paco start the game with $5 and at the end of three rounds Adam had exactly twice as much amount as Paco had that time then which of the following cannot be true A Adam did not gain in any of the rounds B Adam gained in all three rounds C Adam gained in exactly one round D None of these

SET 3 In the year 2017 there are lsquoXrsquo number of people working in a factory out of which 4545 are women The people working in the factory are further classified into three sections namely Workers Officers and Executives in the ratio 3 5 1 respectively

9 Which of the following can be a possible value of lsquoXrsquo A4500 B4950 C5500 D5950

10 Which of the following can be a possible value of lsquoXrsquo If in 2017 the number of men and women is same for any two out of the three sections what could be the minimum percentage of women present in a particular section (Use the value of X obtained in the previous question) A777 B909 C3636 D4182

11 If out of the total number of Officers 60 are men then what is the ratio of the total number of workers to the total number woman Officers A1 2 B2 1 C3 2 D Cannot be determined

12 In the year 2018 if only the number of men working in the factory increase by 20 over 2017 The ratio of Workers Officers and Executives remains same as 3 5 1 What is the ratio of the total number of Workers in the year 2018 to the total number of Officers in year 2017 A183 275 B275 183 C1 3 D3 1 SET 4 24000 people live in Siddhivinayak residential complex The people living in the complex can be either males or females Similarly the people living in the complex can be classified as vegetarians or non-vegetarians It is known that there are 6600 female adults residing in the complex Following information is known 1 The number of male adult vegetarians is twice the number of male children 2 40 of total children are non-vegetarian male children 3 The number of female children is 25 less than male children And half of the female children are vegetarian 4 (16)th of female adults are vegetarian 5 Non-vegetarian male adults are twice of vegetarian male children

13 What is the ratio of non-vegetarian male children to vegetarian male adults A7 4 B5 3 C7 20 D5 13

14 How many male adults are non-vegetarians 15 What is the difference between total male and female population 16 What percentage of total adults are vegetarian

A3838 B4242 C5353 D6767

SET 5

Institute of Management Bangalore (IMB) conducted its entrance test called Admission Test (AT) for the admission to its MBA course The test had three sections with five questions each In each section Q1 to Q4 were lsquoMultiple Choice Questionsrsquo (MCQ) with four options each (options were a b c and d) out of which only one was correct In each section Q5 was lsquoType In - The Answerrsquo (TITA) question for which no options were given and students were expected to type in their answer in the textbox provided Each correct answer fetched three marks while there was a penalty of one mark for incorrect answers on MCQ questions and there was no penalty for incorrect answers on TITA questions or unattempted questions After the exam three coaching institutes P Q and R published their answer keys for the questions in AT Later IMB also published the official answer keys for the questions in AT Following were the answer keys of the three coaching institutes and the official answer keys

Following were the answers of the four friends named Amit Bela Chitra and Dinu for the 15 questions in the test (NA means lsquoNot attemptedrsquo)

The score of the students in AT was calculated according to the official answer key released by IMB and the results were declared accordingly

17 Coaching institutes P Q and R predicted the following cut-offs (minimum marks required in each section and overall for getting an interview call from IMB)

Each of the four friends calculated their expected scores by independently using the answer keys released by each of the three coaching institutes to check whether they met the cut-off criteria How many of the four friends meet the cut-off criteria as expected by all the three institutes

18 After the result of AT was declared IMB called students who scored minimum 5 marks in each of the three sections and 15 marks overall for interviews How many of the four students were called for the interviews

19 Who out of the four students waswere called for the interview by IMB (Use information given in the previous question) A Only Amit B Only Bela C Only Chitra D Both Amit and Bela

20 Suppose we define reliability of a coaching institute as the number of questions in AT (out of 15) that had same answers in its answer key as the official answer key released by IMB which of the following coaching institute had highest value of reliability A Institute P B Institute Q C Institute R D Both institutes Q and R SET 6 In the Hindustan Premier League total five teams- Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters participated Each team played one match against every other team and no match ended in a draw Each match involved a number of gold coins (called lsquoAwardrsquo for the match) such that the team that lost the match gave the number of gold coins equal to the award for that match to the team that won the match The sum of the gold coins received by a team at the end of the tournament is called lsquoProfitrsquo of the team while the sum total of the gold coins gave by a team at the end of tournament is called lsquoLossrsquo of the team Further it is known that I No two teams won the same number of matches and no two teams lost the same number of matches II For any team the lsquoAwardrsquo for any two matches were different III The lsquoAwardrsquo for any match is neither less than 4 nor more than 21 IV The sum of the lsquoProfitrsquo and the lsquoLossrsquo of the team that won all the matches as well as the team that lost all the matches was between 20 and 40 (including both 20 and 40) V The sum of the lsquoProfitrsquo and the lsquoLossrsquo for the teams Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 55 37 40 55 and 53 respectively

VI The number of matches won by Hyderabad Volcanoes was equal to the number of matches lost by Jaipur Royals The number of matches lost by Kolkata Riders was more than the number of matches lost by Hyderabad Volcanoes VII Bangalore Masters won 17 gold coins against Jaipur Royals and the lsquoAwardrsquo involved in the match between Kolkata Riders and Hyderabad Volcanoes was 4 VIII The lsquoProfitrsquo of Jaipur Royals was equal to the lsquoLossrsquo of Hyderabad Volcanoes

21 How many matches did Jaipur Royals win (Write 5 if your answer is lsquoCannot be determinedrsquo)

22 How many matches did Chandigarh Kings lose (Write 5 if your answer is lsquoCannot be determinedrsquo)

23 What was the total lsquoProfitrsquo for Bangalore Masters (Write 56 if your answer is lsquoCannot be determinedrsquo)

24 Which team won three matches A Kolkata Riders B Chandigarh Kings C Hyderabad Volcanoes D Cannot be determined SET 7 The following table gives the information of the students in Class 7 Class 8 Class 9 and Class 10 in Vidyamandir Senior Secondary School Jaipur over the given period of 3 years

Each year a certain number of students either passed the exam failed the exam repeated the exam or did not appear for the exam Also the Number of students in any class C for any year Y = New admissions for that class + Number of students of class (C-1) who passed in the year (Y-1) + Number of students failing in class C in year (Y-1) + Number of students of class C who did not write the exam in year (Y-1) For instance Number of students in class 8 in year 2016 = New admissions for class 8 in 2016 + Number of students of class 7 who passed in the year 2015 + Number of students failing in class 8 in year 2015 + Number of students of class 8 who did not write the exam in year 2015 It is known that no person repeated the exam in the year 2015 Any student can proceed to next class only by passing the exam No student leaves the school in the year 2015 2016 and 2017 Pass percentage = Number of pass students Number of total students Further it is known

1 Number of students failed in class 7 in 2015 is same as Number of students failed in class 10 in 2016

2 85 of the total students passed in class 8 in 2016 3 Number of students failed in class 9 in 2015 is 25 less than that of class 7 in the same year 4 In class 7 in 2016 4 Students did not pass

25 What is the highest pass percentage in any class (among 7th 8th 9th and 10th) in any year

from 2015-2017 A 9333 B 9424 C 9535 D 96

26 How many new students got admission in year 2017 in class 9th A1 B2 C3 D None of these

27 How many total students did not write the exams in class 7th 8th 9th and 10th in the year 2016 A64 B58 C48 D44

28 What is the approximate pass percentage in 7th 8th 9th and 10th class combined in the year 2017 combined A85 B90 C95 D80 SET 8 ldquoExpression Publicationsrdquo publishes books in the categories of Computers Fiction Religion Humour Biography Crime Romance and 12 miscellaneous categories For the year 2007ndash2008 the sales volume of the 5 top ranked books which belong to the categories of Religion Humour Computers Romance and Biography were 5500 13000 18000 16000 and 7500 respectively and this contributed to 75 of the total sales volume The sales in the next fiscal year hiked spectacularly by 5625 with the books in the category of Humour contributing to 108 of the total sales volume in 2008ndash2009 The books in the categories of Computers Biography Fiction and Crime contributed 14 4 168 and 144 of the total sales volume in 2008ndash2009 The sales mentioned above are for the top five rated categories of books in the year 2008ndash2009 In 2007ndash2008 the sales of the miscellaneous categories was 15 of the total sales

29 If the increase in the sale of books in the category of Fiction in the year 2008ndash2009 is 400 with respect to previous year then what is the rank of the books in the category of Crime in the year 2007ndash2008 (considering that the sales of the number of books in the miscellaneous categories are equal) A6th B8th C7th D Cannot be determined

30 If the categories of books are ranked in the decreasing order of their sales in 2 years which of these books would rank 6th (the books in the miscellaneous category were not among the top seven for both the years) A Romance B Biography C Religion D Data insufficient

31 If the categories of books are ranked in the decreasing order of their sales in 2 years which of these books would rank 5th (the books in the miscellaneous category were not among the top seven for both the years) A Fiction B Crime C Romance D Cannot be determined

32 In the year 2007ndash2008 if the sale of category Fiction is ranked 6th then the total sale of the books on Crime in that year would be (Consider the total sale of number of books sold in each of the miscellaneous categories as equal)

A 4000 B More than 1000 but less than 4000 C Greater than 4000 D Cannot be determined SET 9 The total consumption of fertilisers in India in 1993ndash1994 was 52 lakh tonnes The total fertiliser market constitutes of 3 types of fertilisers viz nitrogen phosphate and potash In 1993ndash1994 nitrogen accounted for 65 of the total consumption while phosphate and potash were consumed in the ratio 2 1 The total consumption in 1995ndash1996 was 20 less than the total consumption for 1996ndash1997 while it was greater than the total for 1994ndash1995 by 10 The total consumption in 1994ndash1995 was 6 more than that in 1993ndash1994 The consumption of nitrogen fertiliser grew at a steady rate of 5 per annum over the previous years consumption The government has projected a 25 increase in total consumption in 1997ndash1998 over the 1996ndash1997 level The estimated production for 1997ndash1998 is 87 lakh tonnes

33 The individual consumption of nitrogen phosphate and potash fertiliser respectively in 1993ndash1994 (in lakh tonnes) were A31 14 7 B34 12 6 C28 16 8 D37 10 5

34 The total consumption of fertilisers in 1996ndash1997 was (in lakh tonnes) A6834 B7249 C8013 D7579

35 If the government was to import fertilisers to the extent of shortfall in production visndashandashvis the estimated consumption the total imports in 1997ndash1998 would amount to (in lakh tonnes) A984 B657 C777 D847

36 What percentage of the total consumption was attributed to nitrogen fertilisers in 1994ndash1995 A6439 B6573 C6017 D6247 SET 10 There are five friends A B C D and E The monthly salaries of A B C and D are Rs13000 Rs15000 Rs16000 and Rs20000 respectively The monthly salary of E is equal to the average salary of his other four friends The monthly savings of A is 10 of his monthly salary The monthly savings of B and C are equal and the same as 75 of the monthly savings of E D saves Rs1700 per month which is 85 of monthly savings of E

37 Find the monthly salary of E ARs13000 BRs12800 CRs32000 D None of these

38 How much does E save per month ARs1365 BRs2000 CRs1356 D None of these

39 What percent of his income does B save A10 B12 C95 D None of these

40 What is the average of the monthly savings of A B and C ARs1500 BRs1433 CRs2150 DRs2100 SET 11 A took a voluntary retirement on February 1st 2014 and received 10 lakhs as retirement benefits As on that day he also had Rs 3 lakhs in the bank Of the total amount he had 60 was invested in the bank which gives an annual compounded interest of 15 for three years Of the remaining part half was invested in shares which appreciated by 15 in the first year 6 in the second year and depreciated by 10 the next year The remaining part was invested in real estate The real estate values increased by 10 in the first year reduced by 10 in the next year and remained steady in the third year

41 What was the value (in rupees lakhs) of Arsquos investment on February 1st 2015 A 21 lakhs B 1482 lakhs C 1536 lakhs D 1597 lakhs

42 What was the approximate value (kin rupees lakhs) of his investment on 1st February 2017 A 1621 lakhs B 1682 lakhs C 17286 lakhs D 1787 lakhs

43 In which year did the investment show the maximum increase A First B Second C Third D Both (A) and (C) SET 12 A total of 1650 employees is working in a company in different departments The ratio of male employees to female employees in the organisation is 8679 There are total 5 departments in the company ie Product Development Sales and Marketing R amp D and Reinvestment Finance and HR Total 198 males work in Product Development department 18 employees work in Sales and Marketing department in which male to female ratio is 54 In Finance Department 77 males are working and the number of females in this department is 57th of the number of males The number of males in Sales and Marketing department is equal to the number of females in Product Development department The number of males in Finance department is half of the number of males in HR department Male to female ratio in R amp D and Reinvestment department is 1419

44 The number of males in R amp D and Reinvestment department is how much more than females in Product Development

45 Female in R amp D and Reinvestment department is what of the total number of females in the company (approximately)

46 The number of females in Finance department is what percent less than the number of females in Product Development department

SET 13 In a medical college there are 1600 students studying Dentistry and Homeopathy Each student from each course knows one or more languages out of English Hindi and Bengali 45 of the students study Dentistry and the remaining students study Homeopathy Out of the students studying Dentistry boys and girls are in the ratio 53 Out of the boys studying Dentistry 16 know only English 10 know only Hindi and 4 know only Bengali 24 know English as well as Hindi 20 know English as well as Bengali and 14 know Hindi as well as Bengali The remaining boys know all the three languages Out of the girls studying Dentistry 20 know only English 10 know only Hindi and 10 know only Bengali 20 know English as well as Hindi 20 know English as well as Bengali and 10 know Hindi as well as Bengali The remaining girls know all the three languages Out of the students studying Homeopathy boys and girls are in the ratio 47 Out of the boys studying Homeopathy 20 know only English 15 know only Hindi and 5 know only Bengali 15 know English as well as Hindi 25 know English as well as Bengali and 10 know Hindi as well as Bengali The remaining boys know all the three languages Out of the girls studying Homeopathy 15 know only English 15 know only Hindi and 5 know only Bengali 20 know English as well as Hindi 20 know English as well as Bengali and 15 know Hindi as well as Bengali The remaining girls know all the three languages

47 How many students studying Dentistry know only either English or Hindi A198 B117 C270 D156

48 How many students in the college know all the three languages A175 B170 C169 D270

49 What percent of the total number of girls in the college know Bengali A50 B55 C57 D60

50 How many students studying Homeopathy do not know English A198 B270 C288 D292 SET 14 A school has 400 students- boys and girls who are in the ratio of 35 The students speak Hindi English or both the languages 12 of the boys speak only Hindi 22 of the girls speak only English 24 of the total students speak only Hindi and the number of boys speaking both the languages is six times the number of boys speaking only Hindi

51 How many boys speak Hindi 52 How many girls speak only Hindi 53 How many students speak English 54 The number of girls speaking only Hindi is what percent of the total number of students

speaking only Hindi SET 15 People Power Corporation presently employs three Managers (A B and C) and five recruitment agents (D E F G and H) The company is planning to open a new office in San

Jose to manage placement of software professionals in the US It is planning to relocate two of the three managers and three of the five recruitment agents to the office at San Jose As it is an organization which is highly people oriented the management wants to ensure that the individuals who do not function well together should not be made as a part of the team going to the US The following information was available to the HR department of People Power Corporation Managers A and C are at each otherrsquos throat and therefore cannot be sent as a team to the new office C and E are excellent performers in their own right However they do not function together as a team They should be separated D and G have had a major misunderstanding during the last office picnic After the picnic these two have not been in speaking terms and should therefore not be sent as a team D and F are competing for a promotion that is due in another 3 months They should not be a team

55 If D goes to the new office which of the following is (are) true I C cannot go II A cannot go III H must also go A I only B II and III only C I and III only D I II and III

56 If A is to be moved as one of the Managers which of the following cannot be a possible working unit A ABDEH B ABFGH C ABEGH D ABDGH

57 If C and F are moved to the new office how many combinations are possible A 4 B 1 C 3 D 5

58 Given the group dynamics of the Managers and the recruitment agents which of the following is sure to find a berth in the San Jose office A B B H C G D E SET 16 Ghosh Babu took voluntary retirement in Dec 1991 and received a certain amount of money as retirement benefits On Jan 1 1992 he invested the entire amount in shares At the end of the month he sold all his shares and realised 25 profit On Feb 1 he reinvested the entire amount in shares which he sold at the end of the month at a loss of 20 Again he invested the entire amount on Mar 1 in a new company At the end of the month he sold the new company to a friend and realised a profit of 20 in the process He invested the entire amount in shares on Apr 1 which he sold at the end of the month for Rs 108000 incurring a loss of 10

59 What is the amount of retirement benefits received by Ghosh Babu A Rs 108000 B Rs 125000 C Rs 120000 D Rs 100000

60 The percentage profit received by Ghosh Babu between Jan 1 and Apr 30 is A 800 B 1500 C - 1000 D None of these

61 The amount of loss incurred by Ghosh Babu based on his operation in Apr 1992 is A Rs 25000 B Rs 12000 C Rs 20000 D Rs 8000

62 The maximum amount invested by Ghosh Babu in any one month was in A January B February C March D April SET 17 A school consisting of a total of 1560 students has boys and girls in the ratio of 7 5 respectively All the students are enrolled in different types of hobby classes viz Singing Dancing and Painting One-fifth of the boys are enrolled in only Dancing classes Twenty per cent of the girls are enrolled in only Painting classes Ten percent of the boys are enrolled in

only Singing classes Twenty-four per cent of the girls are enrolled in both Singing and Dancing classes together The number of girls enrolled in only Singing classes is two hundred per cent of the boys enrolled in the same One-thirteenth of the boys are enrolled in all the three classes together The respective ratio of boys enrolled in Dancing and Painting classes together to the girls enrolled in the same is 2 1 respectively Ten per cent of the girls are enrolled in only Dancing classes whereas eight per cent of the girls are enrolled in both Dancing and Painting classes together The remaining girls are enrolled in all the three classes together The number of boys enrolled in Singing and Dancing classes together is fifty per cent of the number of girls enrolled in the same The remaining boys are enrolled in only Painting classes

63 Total number of girls enrolled in Singing is approximately what per cent of the total number of students in the school A 37 B 19 C 32 D 26

64 What is the respective ratio of the number of girls enrolled in only Painting classes to the number of boys enrolled in the same A 77 26 B 21 73 C 26 77 D 73 21

65 Number of girls enrolled in only Dancing classes is what per cent of the boys enrolled in the same A 3867 B 3571 C 4183 D 2862

66 What is the total number of boys who are enrolled in Dancing A 318 B 364 C 292 D 434 SET 18 Not surprisingly the growth of the hotel industry is driven by the increase in the number of people using hotels and the increase in per person use of the hotel In 2004 it is expected that there will be 200 million hotel users in India or about 20 per cent of the population will generate Rs 50 billion in hotel revenues Industry revenues should expand from Rs 50 billion to Rs 150 billion by 2008 while the number of users should grow to over 560 million or to about half the population of India in the same period

67 What is the estimated population of India in 2004 A 98 crore B 100 crore C 110 crore D 115 crore

68 What will be the simple average growth rate of population of India in the given period 2004-2008 A 2

B 3 C 4 D 45

69 What will be the growth in percentage of users in India by 2008 A 100 B 150 C 180 D 200

70 What will be the percentage growth of the revenues of the hotel industry in the given period A 200 B 230 C 260 D 300 SET 19 Bihar and Orissa are the most deprived states of India While they contain one-fifth of Indiarsquos population they have almost one-third of Indiarsquos illiterates In 1998 only a small fraction of Orissa and Biharrsquos population was literate versus 85 per cent of Keralarsquos population More than two-thirds of the births are not attended by any medical facility 110th of the infants born in Orissa and Bihar die in infancy and an equal number before reaching the age of five Almost 90 per cent of the under five deaths are due to malnutrition From amongst the lucky kids who have survived for the first five years 13rd of them work as child labourers and only half of the remaining are sent to school Of those who attend classed only 40 per cent are able to reach Std V In India 30 per cent of the children under 16 work as labourers Orissa and Bihar contain 13rd of the child labourers in India India has the largest population of child labourers which is 115th of its total population In Orissa and Bihar out of 100 children enrolled in school 32 are girls And out of 100 who attend Std X only 10 are girls Only 38 out of 100 Indian women are literate versus 57 per cent of males Even in wealthy states such as Punjab girls suffer from malnutrition seven times more than boys do The total population of the country was 90 crore in 1998 and the ratio of male to female in India was 10 to 9

71 According to the information provided what percentage of the infants in Orissa and Bihar attend Std V A 1133 B 1066 C 1333 D 1233

72 The number of child labourers in India in 1998 are A 15 crore B 16 crore C 12 crore D 6 crore

73 The Orissa and Bihar out of 100 born approximately how many children work as child labourers A 27 B 32 C 13 D 38

74 What percentage of girl children enrolled in school reach Std X in Orissa and Bihar

A 10 B 32 C 60 D Insufficient data SET 20 AMS Inc is the leader in selling ideas universe wide but its maximum revenue comes from three principal planets only viz Earth Mars Jupiter Further it has three products viz CSP CC and CP In a particular year the number of units sold had a distribution as follows The number of units of CCs sold on Mars was 12 per cent of the number of units of CPs sold on Earth The number of units of CPs sold on Jupiter was 1000 Total number of CC units sold was 2600 Total number of CP units was 200 higher than that of the total number of units of CCs sold The number of units of CSP sold on Mars was 10 per cent of the number of units of CP sold on Jupiter The number of units of CSP sold on Earth was 2000 The number of units of CC sold on Earth was 15 per cent of the number of units CSP sold on Jupiter The prices of the units on the different planets were as follows Earth rarr Rs 15 per unit Mars rarr Rs 10 per unit Jupiter rarrRs 8 per unit The number of units of CSP sold on Jupiter was 300 The number of units of CP sold on Earth was 600

75 The number of units of CC sold on Jupiter is A 1520 B 2483 C 3423 D 600

76 The revenue generated on Earth is greater than that generated on Jupiter by about A Rs 8000 B Rs 9000 C Rs 10000 D None of these

77 The overall revenue generated is the highest from A CSPs B CP C CCs D Canrsquot be determined SET 21 An organization consists of 3500 employees working in different departments viz HR Marketing IT Production and Accounts The ratio of male to female employees in the organisation is 3 2 8 of the males work in the HR department 22 of the female work in the account department The ratio of males to females working in the HR department is 3 5 Oneseventh of the females work in the IT department 46 of the males work in the

Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

78 The number of males working in the Account department forms approximately what percent of the total number of males in the organisation A 6 B 8 C 10 D 11

79 How many females work in Production department A 140 B 200 C 180 D None

80 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A 28 B 32 C 29 D 31

81 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A 15 8 B 1 2 C 8 15 D 2 1

SET 22 A B and C started a business by investing Rs 800 Rs 1600 and Rs 2000 respectively After a quarter they invested amounts in a ratio 1 4 2 After another quarter they invested amounts in ratio 3 2 3In the last quarter the ratio of investments was same as in 2nd quarter Also in the last quarter the respective amounts of A B and C was double than the respective amounts invested in 2nd quarter The total investment of C before 4th quarter was Rs 1400 more than that of A during same duration Also ratio of Brsquos share in profit to total profit at the end of year was 66 153

82 Find the total investment of A B and C A Rs 10200 B Rs 11300 C Rs 9800 D Rs 10080

83 If they respectively had invested same amounts in each quarter after quarter 1 which is equal to their respective investments in quarter 1 then what would be the profit of A at the end of year out of a total profit of Rs 19350 A Rs 2510 B Rs 3320 C Rs 2560 D Rs 3150

84 If the respective investments in third quarter was changed and this was in ratio 2 4 1 (other investments being the same) then what would be the total investment of all three in third quarter if the average investment of all A B and C was Rs 3100 for whole year A Rs 500 B Rs 800 C Rs 700 D Rs 900 SET 23 The total population of village satana is 3550 out of which 36 people are below poverty line The total population of Satana is 11 frac14 less than the total population of amin while there are 29 people in amin who lives below poverty line In Nilokheri the people living below poverty line are 40 more than that in amin which is 40 of the total population of this village The average population of Gharaunda and Samalkha is equal to the average population of amin and Nilokheri while the difference between their population is 1800 (Village Samalkha is more populated) 47 of the population of Gharaunda are below poverty line Overall 46 of the population of all villagesrsquo together lives below poverty line

85 What percent of population of Samalkha lives above poverty line (Approximate) A 26 B 27 C 28 D 29

86 Find the approximate average no of people below poverty line in the given villages A 1610 B 1620 C 1615 D 1320

87 If 35 of the BPL population of Nilokheri are children while 30 of the overall population of this village are children Then what percent of population above poverty line are children A 25 B 30 C 26 13 D 26 23

88 What is the difference between total population of Nilokheri and that of Gharaunda A 300 B 200 C 250 D 400

SET 24

Gaurav a sweet seller bought some quantity of three types of sweets Rasgulla Rasmalai and Kalakand in ratio of 6 10 9 Kalakand costed him a total of Rs 18900 at rate of 420 per kg By selling Kalakand at a discount of 5 he earned a profit of 13 221 On Rasmalai (which was marked Rs 500 per kg) he earned Rs 5 less profit per kg as compared to that on Kalakand by selling Rasmalai at 10 discount Gaurav spent a total of Rs 46400 on buying these sweets while he earned a total profit of Rs 5875 on selling all bought sweets Rasgullas were marked 40 above cost price per kg

89 What is the difference between the number of Accord cars sold by dealers D and E together

and the number of City cars sold by dealers B and F together A 3658 B 3712 C 4205 D 3252

90 If Gaurav gave an extra discount of 20 on Kalakand then his gain or loss was

A 9 11

21 profit B 8

11

21 loss C 10

11

23 loss D 9

11

21 loss

91 Find the total quantity of sweets bought by Gaurav A 135 kg B 126 kg C 125 kg D 120 kg

92 If 10kg of Rasmalai was wasted away due to some reason Find profit or loss by selling the remaining Rasmalai as per given condition A 10 loss B 10 gain C 12 loss D 15 loss SET 25 An organization consists of 3500 employees working in different departments viz HR Marketing IT Production and Accounts The ratio of male to female employees in the organisation is 3 2 8 of the males work in the HR department 22 of the female work in the account department The ratio of males to females working in the HR department is 3 5 One-seventh of the females work in the IT department 46 of the males work in the Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

93 The number of males working in the Account department forms approximately what per cent of the total number of males in the organisation A 6 B8 C10 D11

94 How many females work in Production department A 140 B200 C180 DNone of these

95 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A28 B30 C29 D31

96 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A158 B12 C815 D21 SET 26

In the recently held Commonwealth Games a total number of 500 players participated in five different games viz Athletics Hockey Lawn Tennis Rugby and Badminton 15 of the total players participated in Badminton 25 of the total players participated in Hockey 6 of the total players participated in Lawn Tennis and 25 of the total players participated in Athletics The remaining players participated in Rugby One-fourth of the Hockey players are females 20 of the Badminton players are males Half of the players who participated in Lawn Tennis are males There are 55 female athletes No female player participated in Rugby

97 The number of female players who participated in Badminton is approximately what per cent of the total number of players who participated in Rugby A82 B80 C86 D76

98 What is the difference between the number of male players who participated in Hockey and the number of female players who participated in Lawn Tennis A125 B145 C130 D135

99 If due to certain reason Athletics was dropped and all the athletes left the tournament then what was the percentage of male players among the total players remaining in the tournament A4566 B4033 C3533 DNone of these

100 What is the ratio of the total number of male players participating in Badminton to the total number of female players participating in Hockey A353 B310 C510 D325 SET 27 The premises of an institute are to be renovated Only the floor is to be renovated either with marble or with wood All rooms halls and pantry are rectangular The area to be renovated comprises a hall measuring 33m by 39m The directorrsquos room measures 13m by 12m and the pantry measures 14m by 12m A record keeping-cum-server room measures 23m by 13m and the accounts room measures 12m by 23m The total area of the institute is 2500 square metres The cost of wooden flooring is Rs 170 per square metre and the cost of marble flooring is Rs 190 per square metre The accounts room the record keeping-cum-server room and the pantry are to be floored with marble The directorrsquos room and the hall are to be floored with wood

101 What is the ratio of the total cost of wooden flooring to the total cost of marble flooring A 1443 735 B 8177 4655 C 1443 4655 D 24531 14117

102 If four walls and ceiling of the room (the height of the room is 15 metres) are to be painted at the cost of Rs 190 per square metre how much will be the total cost of renovation of the directorrsquos room including the cost of flooring A 198660 B 178680 C 198880 D 22876

103 If the remaining area of the institute is to be carpeted at the rate of Rs 210 per square metre by how much will the cost of renovation of institute premises increase A 75000 B72840 C65940 D 75940

104 What is the percentage area of the institute that is not to be renovated A1644 B1356 C1455 D1256

SET 28 A total of 1650 students are studying in an engineering college in different departments The ratio of male students to female students in the college is 8679 The college had a total of 5 departments which are mechanical civil electrical Biotechnology and computer science Total 198 males study in the mechanical department 18 students study in the civil department in which male to female ratio is 54 In the biotechnology department 77 male students are studying and the number of female students in this department is 57th of the number of males The total number of male students in the civil department is equal to the number of female students in the mechanical department The number of males in biotechnology department is half of the number of total male students in computer science department In the electrical department the male to female ratio is 1419

105 The number of male students in electrical department is how much more than female students in mechanical

106 Female students in electrical department is what of the total number of females in the college (approximately) SET 29 During the period 1990-91 to 1994-95 the unit sales of Motorcycles witnessed a simple average growth rate of 45 and the unit price experienced a simple average growth rate of 41 In the year 1990-91 amp 1992-93 the selling price of motorcycle was Rs 50000 The unit selling price rose by Rs 2500 each in the years 1991-92 and 1994-95 Between 1990-91 and 1992-93 unit sales increased by 155 In 1992-93 approx 2888 units and in 1993-94 3000 units were sold In 1991-92 the sales increased by Rs 1281 crore and number of units sold increased by 125

107 The rupee sales of the motorcycles in 1990-91 is A Rs 180crore B Rs 125crore C Rs 135crore D Rs 100crore

108 How many motorcycles were sold in 1991-92 A 2500 B 2625 C 3050 D 4000

109 How many motorcycles were sold during the period 1990-91 to 1994-95 A 15025 B 14005 C 14076 D 15000

110 What is the selling price of a motorcycle in 1993-94 A Rs 50000 B Rs 52500 C Rs 57750 D Rs 60000

SET 30 Mlon huskthe space Y inventor took his team of scientist to newly found planetrdquoEuro Chandrdquo The team agreed on the condition that they will not do any research during their visit but will only do rest But Husk as per his nature observed various phenomenon on new planet including the gravitational pull He observed that a kg on earth is equivalent to 12 kg on Euro chand except kg on new planet is called Euroc Slen weighs 552 Euroc weighs heavier than all except Plen who weighs 108 Euroc more Olen the lightest weighs 252 Euroc less than Dlen Jlen weighs 48 Euroc less than Slen and 48 Euroc more than Dlen

111 What is the weight of Plen (in Kg) A55 B46 C17 D48

112 What is the weight of Olen (in Euronc ) A505 B246 C218 D204

113 Approximately how many times is the weight of Plen that of Dlen A145 B107 C218 D214

114 Weight of Dlen is what moreless than weight of Jlen

A111 B108 C95 D121 SET 31 In a MNC there are 5000 employees In that there are 6 departments ie Accounts department maintenance-admin department HR department production department RampD department marketing department In maintenance- admin department there is 15 of total number of employees In that 40 are females Total number of persons working in RampD department is equal to total number of males working in maintenance department Male to female ratio of RampD is 45In production department 1500 persons are working there are males only In HR department the number of persons working is 15 of number of persons working in production department where 80 are females The number of people working in Accounts department is 60 of production department in that number of females are 550 The number of female in marketing department 500

115 Total number of males in RampD department is what percentage of total number of males in the marketing department A50 B 375 C 33 13 D1007

116 What is the percentage increasedecrease in total number of females in HR department to the total number of males in maintenance ndash admin department A5334 increase B5334 decrease C4666 increase D4666decrease

117 What is the difference between total number of males in marketing department to total number of females in the accounts department A75 B50 C60 D90

118 What is the ratio of total number of males in HR department to the total number of females in maintenance ndash admin department A15 B27 C35 D47 SET 32

According to A the census has been taken by the Government for literacy rate in two villages

A and B total population is 6 00000 In which the ratio between total numbers of males to

total number of females is 53 and the ratio of total population in village A to village B is 1713

The ratio of number of males in village A to number of males in village B is 78Total Ratio of

literate to illiterate (in men) 41 Out of total women only 35 are literates Total percentage

of adults is 80 ( m f = 53) in total population and in remaining 10 are children all other

peoples are senior citizens

119 What is the difference between literate people to total number of senior citizens

A378750 B78750 C270750 D221250

120 Total number of literate males in village A (if 45 of literate males are in Village A) is what percentage of total number of illiterate Females (Approximately) A97 B92 C89 D85

121 What is the ratio of males in village B to Adult females in the survey A54 B45 C910 D109

122 What is the increasedecrease in percentage of total number children to the

difference between the populations of village A to village B

A85 decrease B 85 increase C 95 increase D95 decrease

SET 33 Acity consists of 2400 employees working in different IT companies viz TCS Infosys Wipro Tech Mahindra and Oracle The ratio of male to female employees in the city is 5 3 respectively Twelve per cent of the males work in the TCS Company Twenty four per cent of the females work in the Oracle Company The ratio of males to females working in the TCS company is 6 11 respectively One-ninth of the females work in the Wipro Company Forty two percent of the males work in the Tech Mahindra Company Number of females working in the Tech Mahindra Company is ten percent of the males working in the same The remaining females work in the Infosys Company The total number of employees working in the Wipro Company is 285 Twenty two percent of the males work in the Infosys Company and the remaining work in the Oracle Company

123 The number of females working in the Tech Mahindra Company TCS Company and Infosys company together forms what percent of the total number of females in the City A6488 B5765 C 4896 D7527

124 The total number of females working in the TCS and Infosys Company together

forms what percent of the total number of employees in Tech Mahindra Company

A7018 B8047 C 7526 D7518

125 What is the difference between the number of males in Infosys Company and

number of females to the Oracle Company together to the number of males in Tech

Mahindra Company and number of females to the TCS Company together

A434 B427 C404 D414

126 The number of males working in the Wipro Company and the number of females

working in the Infosys Company together forms approximately what percent of the total

number of males in the City (Rounded off the nearest percentage)

A50 B25 C21 D18

SET 34

A School consisting of a total of 1560 students has boys and girls in the ratio of 7 5

respectively All the students are enrolled for different country tours viz Russia Switzerland

and Japan One-fifth of the boys are enrolled for only Switzerland tour Twenty percent of

the girls are enrolled for only Japan tour Ten percent of the boys are enrolled for only Russia

tour Twenty four percent of the girls are enrolled for both Russia and Switzerland tour

together The number of girls enrolled for only Russia tour is two hundred percent of the

boys enrolled in the same One-thirteenth of the boys are enrolled for all the three tour

together The respective ratio of boys enrolled for Switzerland and Japan tour together to

the girls enrolled for the same is 2 1 respectively Ten percent of the girls are enrolled for

only Switzerland tour whereas eight percent of the girls are enrolled for both Switzerland

and Japan tour together The remaining girls are enrolled for all the three tour together The

number of boys enrolled for Russia and Switzerland tour together is fifty percent of the

number of girls enrolled for the same The remaining boys are enrolled for only Japan tour

127 What is the respective ratio of the number of girls enrolled for only Japan tour and

number of boys enrolled for Switzerland tour together to the number of boys enrolled for

the Japan tour and number of girls enrolled for Switzerland tour together

A7752 B7552 C5275 D5277

128 Number of girls enrolled for only Switzerland Russia and Japantour together is what

percent of the boys together enrolled for the same (Rounded off to two digits after

decimal)

A3757 B5729 C6193 D5522

129 What is the total number of students enrolled for all the three tour and number of

girls enrolled for Switzerland and Russia tour together and number of boys enrolled for

Switzerland and Japan tour together

A395 B2415 C385 D390

130 What is the sum of the total number of boys who are enrolled for Switzerland and

the total number of girls who are enrolled for same tour together

A872 B752 C802 D772

SET 35

A radio station surveyed 200 students to determine the types of music they liked There are

three types of music rock music folk music and classical music The survey revealed that 57

percent liked rock music 25 percent liked folk music and 205 percent liked classical music 14

students liked rock music and folk music 15 students liked rock music and classical music 6

students liked only classical music and folk music 90 of them liked only rock music

131 How many of them liked folk music but not rock music

A36 B41 C30 D44

132 How many of them liked any two types of music only

A15 B16 C19 D25

133 How many students did not like any of the three types

A35 B40 C30 D25

134 What is the ratio of who liked rock and classical music together to the ratio of who

liked only folk music

A51 B3110 C316 D125

SET 36

In a shopping mall there are three different varieties of dress materials Cotton Silk and

Chiffon There are 300 customers visited the Shop 50 of customers purchased Cotton

material 40 of customers purchased Chiffon material and 60 of customers purchased Silk

material The customers who purchased any of two dress materials are 90 20 of

customers who purchased Cotton also purchased other two materials The customers who

purchased only Silk material are 20 more than that of who purchased only Chiffon material

30 Customers are purchased only Silk and Chiffon material

135 How many of them purchased only one variety of dress material

A150 B180 C120 D160

136 How many of them purchased at least two types of dress materials

A90 B100 C120 D140

137 What is the percentage of the customers who purchased only Silk material to that of

the customers who purchased all types of dress material

A30043 B30553 C35523 D23333

138 How many of them did not purchase any of the three types of materials

A10 B15 C5 D None

SET 37

In a sports event six teams (A B C D E and F) are competing against each other Matches

are scheduled in two stages Each team plays three matches in stage ndash I and two matches in

Stage ndash II No team plays against the same team more than once in the event No ties are

permitted in any of the matches The observations after the completion of Stage ndash I and

Stage ndash II are as given below

Stage-I

bull One team won all the three matches

bull Two teams lost all the matches

bull D lost to A but won against C and F

bull E lost to B but won against C and F

bull B lost at least one match

bull F did not play against the top team of Stage-I

Stage-II

bull The leader of Stage-I lost the next two matches

bull Of the two teams at the bottom after Stage-I one team won both matches while the

other lost both matches

bull One more team lost both matches in Stage-II

139 The two teams that defeated the leader of Stage-I are

A F amp D B E amp F C B amp D D E amp D

140 The only team(s) that won both matches in Stage-II is (are)

A B B E amp F C A E amp F D B E amp F

141 The teams that won exactly two matches in the event are

A A D amp F B D amp E C E amp F D D amp F

142 The team(s) with the most wins in the event is (are)

A A B A amp C C B amp E D E

SET 38

Two traders Chetan and Michael were involved in the buying and selling of MCS shares

over five trading days At the beginning of the first day the MCS share was priced at ₹100

while at the end of the fifth day it was priced at ₹110 At the end of each day the MCS share

price either went up by ₹10 or else it came down by ₹10 Both Chetan and Michael took

buying and selling decisions at the end of each trading day The beginning price of MCS share

on a given day was the same as the ending price of the previous day Chetan and Michael

started with the same number of shares and amount of cash and had enough of both

Below are some additional facts about how Chetan and Michael traded over the five trading

days

middot Each day if the price went up Chetan sold 10 shares of MCS at the closing price On the

other hand each day if the price went down he bought 10 shares at the closing price

middot If on any day the closing price was above ₹110 then Michael sold 10 shares of MCS

while if it was below ₹90 he bought 10 shares all at the closing price

143 If Chetan sold 10 shares of MCS on three consecutive days while Michael sold 10

shares only once during the five days what was the price of MCS at the end of day 3

A ₹ 90 B ₹100 C ₹110 D ₹120

144 If Chetan ended up with ₹1300 more cash than Michael at the end of day 5 what

was the price of MCS share at the end of day 4

A ₹90 B ₹100 C ₹110 D₹120

145 If Michael ended up with 20 more shares than Chetan at the end of day 5 what was

the price of the share at the end of day 3

A₹90 B ₹100 C ₹110 D ₹120

146 If Michael ended up with ₹100 less cash than Chetan at the end of day 5 what was

the difference in the number of shares possessed by Michael and Chetan (at the end of day

5)

A Michael had 10 less shares than Chetan

B Michael had 10 more shares than Chetan

C Chetan had 10 more shares than Michael

D Both had the same number of shares

SET 39

Bankatlal acted as a judge for the beauty contest There were four participants viz Ms

Andhra Pradesh Ms Uttar Pradesh Ms West Bengal and Ms Maharashtra Mrs Bankatlal

who was very anxious about the result asked him about it as soon as he was back home

Bankatlal just told that the one who was wearing the yellow saree won the contest When

Mrs Bankatlal pressed for further details he elaborated as follows

I All of them were sitting in a row

II All of them wore sarees of different colors viz Green Yellow White Red

III There was only one runner up and she was sitting beside Ms Maharashtra

IV The runner up was wearing the Green saree

V Ms West Bengal was not sitting at the ends and was not a runner up

VI The winner and the runner up are not sitting adjacent to each other

VII Ms Maharashtra was wearing white saree

VIII Ms Andhra Pradesh was not wearing the Green saree

IX Participants wearing Yellow saree and White saree were at the ends

147 Who wore the Red saree A Ms Andhra Pradesh B Ms West Bengal C Ms Uttar Pradesh D Ms Maharashtra

148 Ms West Bengal was sitting adjacent to A Ms Andhra Pradesh and Ms Maharashtra B Ms Uttar Pradesh and Ms Maharashta C Ms Andhra Pradesh and Ms Uttar Pradesh D Ms Uttar Pradesh only

149 Which saree was worn by Ms Andhra Pradesh A Yellow B Red C Green D White

150 Who was the runner up

A Ms Andhra Pradesh B Ms West Bengal

C Ms Uttar Pradesh D Ms Maharashta

SET 40

Ghosh Babu goes to a casino in Kay - Kay islands where he comes across an interesting game

of cards The visitor playing the game is called the player amp the clubman is called the dealer

The rules of the game are as follows First the player picks the card This card is called the

base card amp the number on the face of the card is called the base value of the card Ace

King Queen amp Jack all have base value of 10 The dealer pays the player same number of

rupees as the base value of the card Now the dealer picks a card amp This is called the top

card If topcard is of the same suite then the player pays the dealer double the amount of

base value If it is of the same colour but not the same suite then the player pays the dealer

the amount of a bse value If it is of different colour then the dealer pays the player the

amount of base value Ghosh Babu plays the game 4 times First time he draws 8 of club amp

the dealer draws jack of club Second time he draws 10 of hearts amp the dealer draws 2 of

spade Third time he draws 6 of diamond amp the dealer draws 1 of heart Finally Ghosh Babu

draws 8 of spade and the dealer draws ace of the spade

151 If Ghosh Babu should leave the game when his profit is maximum then what is that

profit

A 12 B 18 C 20 D None of these

152 If Ghosh Babu did not have to borrow any money from anyone then what is the

minimum amount that he could have started with

A 16 B 24 C 8 D None of these

153 If Ghosh Babu is left with 100 rupees now what is the amount that he had started

with

A 120 B 104 C 96 D None of these

SET 41

Twenty one participants from four continents (Africa Americas Australasia and Europe)

attended a United Nations conference Each participant was an expert in one of four fields

labour health population studies and refugee relocation The following five facts about the

participants are given

I The number of labour experts in the camp was exactly half the number of experts in each

of the three other categories

II Africa did not send any labour expert Otherwise every continent including Africa sent at

least one expert for each category

III None of the continents sent more than three experts in any category

IV If there had been one less Australasian expert then the America would have had twice

many experts as each of the other continents

V Mike and Alfanso are leading experts of population studies who attended the conference

They are from Australasia

154 Which of the following numbers cannot be determined from the information given

A Number of labour experts from the Americas

B Number of health experts from Europe

C Number of health experts from Australasia

D Number of experts in refugee relocation from Africa

155 Which of the following combinations is NOT possible

A 2 experts in population studies from the Americas and 2 health experts from Africa

attended the conference

B 2 experts in population studies from the Americas and 1 health expert from Africa

attended the conference

C 3 experts in refugee relocation from the Americas and 1 health expert from Africa

attended the conference

D Africa and America each had 1 expert in population studies attending the conference

156 If Ramos is the lone America expert in population studies which of the following is

NOT true about the numbers of experts in the conference from the four continents

A There is one expert in health from Africa

B There is one expert in refugee relocation from Africa

C There are two experts in health from the Americas

D There are three experts in refugee relocation from the Americas

157 Alex an American expert in refugee relocation was the first keynote speaker in the

conference What can be inferred about the number of American experts in refugee

relocation in the conference excluding Alex (i) At least one (ii) Atmost two

A Only (i) and not (ii) B Only (ii) and not (i)

C Both (i) and (ii) D Neither (i) nor (ii)

SET 42

Help Distress (HD) is an NGO involved in providing assistance to people suffering from

natural disasters Currently it has 37 volunteers They are involved in three projects

Tsunami Relief (TR) in Tamil Nadu Flood Relief (FR) in Maharashtra and Earthquake Relief

(ER) in Gujarat Each volunteer working with Help Distress has to be involved in at least one

relief work project

bull A Maximum number of volunteers are involved in the FR project Among them the

number of volunteers involved in FR project alone is equal to the volunteers having

additional involvement in the ER project

bull The number of volunteers involved in the ER project alone is double the number of

volunteers involved in all the three projects

bull 17 volunteers are involved in the TR project

bull The number of volunteers involved in the TR project alone is one less than the number of

volunteers involved in ER project alone

bull Ten volunteers involved in the TR project are also involved in at least one more project

158 Based on the information given above the minimum number of volunteers involved

in both FR and TR projects but not in the ER project is

A 1 B 3 C 4 D 5

159 Which of the following additional information would enable to find the exact

number of volunteers involved in various projects

A Twenty volunteers are involved in FR B Four volunteers are involved in all the three projects C Twenty three volunteers are involved in exactly one project D No need for any additional information

160 After some time the volunteers who were involved in all the three projects were

asked to withdraw from one project As a result one of the volunteers opted out of the TR

project and one opted out of the ER project while the remaining ones involved in all the

three projects opted out of the FR project Which of the following statements then

necessarily follows

A The lowest number of volunteers is now in TR project B More volunteers are now in FR project as compared to ER project C More volunteers are now in TR project as compared to ER project D None of the above

161 After the withdrawal of volunteers as indicated in Question 85 some new

volunteers joined the NGO Each one of them was allotted only one project in a manner such

that the number of volunteers working in one project alone for each of the three projects

became identical At that point it was also found that the number of volunteers involved in

FR and ER projects was the same as the number of volunteers involved in TR and ER projects

Which of the projects now has the highest number of volunteers

A ER B FR C TR D Cannot be determined

SET 43

Mathematicians are assigned a number called Erdoumls number (named after the famous

mathematician Paul Erdoumls) Only Paul Erdoumls himself has an Erdoumls number of zero Any

mathematician who has written a research paper with Erdoumls has an Erdoumls number of 1 For

other mathematicians the calculation of hisher Erdoumls number is illustrated below

Suppose that a mathematician X has co-authored papers with several other mathematicians

From among them mathematician Y has the smallest Erdoumls number Let the Erdoumls number

of Y be y Then X has an Erdoumls number of y + 1 Hence any mathematician with no co-

authorship chain connected to Erdoumls has an Erdoumls number of infinity In a seven day long

mini-conference organized in memory of Paul Erdoumls a close group of eight mathematicians

call them A B C D E F G and H discussed some research problems At the beginning of the

conference A was the only participant who had an infinite Erdoumls number Nobody had an

Erdoumls number less than that of F

bull On the third day of the conference F co-authored a paper jointly with A and C This

reduced the average Erdoumls number of the group of eight mathematicians to 3 The Erdoumls

numbers of B D E G and H remained unchanged with the writing of this paper Further no

other co-authorship among any three members would have reduced the average Erdoumls

number of the group of eight to as low as 3

bull At the end of the third day five members of this group had identical Erdoumls numbers while

the other three had Erdoumls numbers distinct from each other

bull On the fifth day E co-authored a paper with F which reduced the grouprsquos average Erdoumls

number by 05 The Erdoumls numbers of the remaining six were unchanged with the writing of

this paper

bull No other paper was written during the conference

162 The Erdoumls number of C at the end of the conference was

A 1 B 2 C 3 D 4

163 The Erdoumls number of E at the beginning of the conference was

A 5 B 6 C 7 D 8

164 How many participants had the same Erdoumls number at the beginning of the

conference

A 2 B 3 C 4 D 5

SET 44

K L M N P Q R S U and W are the only ten members in a department There is a proposal

to form a team from within the members of the department subject to the following

conditions

bull A team must include exactly one among P R and S

bull A team must include either M or Q but not both

bull If a team includes K then it must also include L and vice versa

bull If a team includes one among S U and W then it must also include the other two

bull L and N cannot be members of the same team

bull L and U cannot be members of the same team

The size of a team is defined as the number of members in the team

165 Who can be a member of a team of size 5

A K B L C M D P

166 Who cannot be a member of a team of size 3

A L B M C N D P

167 What could be the size of a team that includes K

A 2 or 3 B 2 or 4 C 3 or 4 D Only 4

168 In how many ways a team can be constituted so that the team includes N

A 2 B 3 C 4 D 6

SET 45

(i) There are three houses on each side of the road

(ii) These six houses are labeled as P Q R S T and U

(iii) The houses are of different colours namely Red Blue Green Orange Yellow and

White

(iv) The houses are of different heights

(v) T the tallest house is exactly opposite to the Red coloured house

(vi) The shortest house is exactly opposite to the Green coloured house

(vii) U the Orange coloured house is located between P and S

(viii) R the Yellow coloured house is exactly opposite to P

(ix) Q the Green coloured house is exactly opposite to U

(x) P the White coloured house is taller than R but shorter than S and Q

169 Which is the second tallest house

A P B S C Q D cannot be determined

170 What is the colour of the house diagonally opposite to the Yellow coloured house

A White B Blue C Green D Red

171 What is the colour of the tallest house

A Red B Blue C Green D Yellow

SET 46

A leading socialite decided to organise a dinner and invited a few of her friends Only the

host and the hostess were sitting at the opposite ends of a rectangular table with three

persons along each side The pre-requisite for the seating arrangement was that each person

must be seated such that atleast on one side it has a person of opposite sex Maqbool is

opposite Shobha who is not the hostess Ratan has a woman on his right and is sitting

opposite a woman Monisha is sitting to the hostessrsquos right next to Dhirubhai One person is

seated between Madhuri and Urmila who is not the hostess The men were Maqbool Ratan

Dhirubhai and Jackie while the women were Madhuri Urmila Shobha and Monisha

172 The eighth person present Jackie must be I the host II seated to Shobarsquos right III

seated opposite Urmila

A I only B III only C I and II only D II and III only

173 Which of the following persons is definitely not seated next to a person of the same

sex

A Maqbool B Madhuri C Jackie D Shobha

174 If Ratan would have exchanged seats with a person four places to his left which of

the following would have been true after the exchange

I No one was seated between two persons of the opposite sex (eg no man was seated

between two women)

II One side of the table consisted entirely of persons of the same sex

III Either the host or the hostess changed seats

A I only B II only C I and II only D II and III only

175 If each person is placed directly opposite his or her spouse which of the following

pairs must be married

A Ratan and Monisha B Madhuri and Dhirubhai

C Urmila and Jackie D Ratan and Madhuri

SET 47

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

SET 3 In the year 2017 there are lsquoXrsquo number of people working in a factory out of which 4545 are women The people working in the factory are further classified into three sections namely Workers Officers and Executives in the ratio 3 5 1 respectively

9 Which of the following can be a possible value of lsquoXrsquo A4500 B4950 C5500 D5950

10 Which of the following can be a possible value of lsquoXrsquo If in 2017 the number of men and women is same for any two out of the three sections what could be the minimum percentage of women present in a particular section (Use the value of X obtained in the previous question) A777 B909 C3636 D4182

11 If out of the total number of Officers 60 are men then what is the ratio of the total number of workers to the total number woman Officers A1 2 B2 1 C3 2 D Cannot be determined

12 In the year 2018 if only the number of men working in the factory increase by 20 over 2017 The ratio of Workers Officers and Executives remains same as 3 5 1 What is the ratio of the total number of Workers in the year 2018 to the total number of Officers in year 2017 A183 275 B275 183 C1 3 D3 1 SET 4 24000 people live in Siddhivinayak residential complex The people living in the complex can be either males or females Similarly the people living in the complex can be classified as vegetarians or non-vegetarians It is known that there are 6600 female adults residing in the complex Following information is known 1 The number of male adult vegetarians is twice the number of male children 2 40 of total children are non-vegetarian male children 3 The number of female children is 25 less than male children And half of the female children are vegetarian 4 (16)th of female adults are vegetarian 5 Non-vegetarian male adults are twice of vegetarian male children

13 What is the ratio of non-vegetarian male children to vegetarian male adults A7 4 B5 3 C7 20 D5 13

14 How many male adults are non-vegetarians 15 What is the difference between total male and female population 16 What percentage of total adults are vegetarian

A3838 B4242 C5353 D6767

SET 5

Institute of Management Bangalore (IMB) conducted its entrance test called Admission Test (AT) for the admission to its MBA course The test had three sections with five questions each In each section Q1 to Q4 were lsquoMultiple Choice Questionsrsquo (MCQ) with four options each (options were a b c and d) out of which only one was correct In each section Q5 was lsquoType In - The Answerrsquo (TITA) question for which no options were given and students were expected to type in their answer in the textbox provided Each correct answer fetched three marks while there was a penalty of one mark for incorrect answers on MCQ questions and there was no penalty for incorrect answers on TITA questions or unattempted questions After the exam three coaching institutes P Q and R published their answer keys for the questions in AT Later IMB also published the official answer keys for the questions in AT Following were the answer keys of the three coaching institutes and the official answer keys

Following were the answers of the four friends named Amit Bela Chitra and Dinu for the 15 questions in the test (NA means lsquoNot attemptedrsquo)

The score of the students in AT was calculated according to the official answer key released by IMB and the results were declared accordingly

17 Coaching institutes P Q and R predicted the following cut-offs (minimum marks required in each section and overall for getting an interview call from IMB)

Each of the four friends calculated their expected scores by independently using the answer keys released by each of the three coaching institutes to check whether they met the cut-off criteria How many of the four friends meet the cut-off criteria as expected by all the three institutes

18 After the result of AT was declared IMB called students who scored minimum 5 marks in each of the three sections and 15 marks overall for interviews How many of the four students were called for the interviews

19 Who out of the four students waswere called for the interview by IMB (Use information given in the previous question) A Only Amit B Only Bela C Only Chitra D Both Amit and Bela

20 Suppose we define reliability of a coaching institute as the number of questions in AT (out of 15) that had same answers in its answer key as the official answer key released by IMB which of the following coaching institute had highest value of reliability A Institute P B Institute Q C Institute R D Both institutes Q and R SET 6 In the Hindustan Premier League total five teams- Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters participated Each team played one match against every other team and no match ended in a draw Each match involved a number of gold coins (called lsquoAwardrsquo for the match) such that the team that lost the match gave the number of gold coins equal to the award for that match to the team that won the match The sum of the gold coins received by a team at the end of the tournament is called lsquoProfitrsquo of the team while the sum total of the gold coins gave by a team at the end of tournament is called lsquoLossrsquo of the team Further it is known that I No two teams won the same number of matches and no two teams lost the same number of matches II For any team the lsquoAwardrsquo for any two matches were different III The lsquoAwardrsquo for any match is neither less than 4 nor more than 21 IV The sum of the lsquoProfitrsquo and the lsquoLossrsquo of the team that won all the matches as well as the team that lost all the matches was between 20 and 40 (including both 20 and 40) V The sum of the lsquoProfitrsquo and the lsquoLossrsquo for the teams Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 55 37 40 55 and 53 respectively

VI The number of matches won by Hyderabad Volcanoes was equal to the number of matches lost by Jaipur Royals The number of matches lost by Kolkata Riders was more than the number of matches lost by Hyderabad Volcanoes VII Bangalore Masters won 17 gold coins against Jaipur Royals and the lsquoAwardrsquo involved in the match between Kolkata Riders and Hyderabad Volcanoes was 4 VIII The lsquoProfitrsquo of Jaipur Royals was equal to the lsquoLossrsquo of Hyderabad Volcanoes

21 How many matches did Jaipur Royals win (Write 5 if your answer is lsquoCannot be determinedrsquo)

22 How many matches did Chandigarh Kings lose (Write 5 if your answer is lsquoCannot be determinedrsquo)

23 What was the total lsquoProfitrsquo for Bangalore Masters (Write 56 if your answer is lsquoCannot be determinedrsquo)

24 Which team won three matches A Kolkata Riders B Chandigarh Kings C Hyderabad Volcanoes D Cannot be determined SET 7 The following table gives the information of the students in Class 7 Class 8 Class 9 and Class 10 in Vidyamandir Senior Secondary School Jaipur over the given period of 3 years

Each year a certain number of students either passed the exam failed the exam repeated the exam or did not appear for the exam Also the Number of students in any class C for any year Y = New admissions for that class + Number of students of class (C-1) who passed in the year (Y-1) + Number of students failing in class C in year (Y-1) + Number of students of class C who did not write the exam in year (Y-1) For instance Number of students in class 8 in year 2016 = New admissions for class 8 in 2016 + Number of students of class 7 who passed in the year 2015 + Number of students failing in class 8 in year 2015 + Number of students of class 8 who did not write the exam in year 2015 It is known that no person repeated the exam in the year 2015 Any student can proceed to next class only by passing the exam No student leaves the school in the year 2015 2016 and 2017 Pass percentage = Number of pass students Number of total students Further it is known

1 Number of students failed in class 7 in 2015 is same as Number of students failed in class 10 in 2016

2 85 of the total students passed in class 8 in 2016 3 Number of students failed in class 9 in 2015 is 25 less than that of class 7 in the same year 4 In class 7 in 2016 4 Students did not pass

25 What is the highest pass percentage in any class (among 7th 8th 9th and 10th) in any year

from 2015-2017 A 9333 B 9424 C 9535 D 96

26 How many new students got admission in year 2017 in class 9th A1 B2 C3 D None of these

27 How many total students did not write the exams in class 7th 8th 9th and 10th in the year 2016 A64 B58 C48 D44

28 What is the approximate pass percentage in 7th 8th 9th and 10th class combined in the year 2017 combined A85 B90 C95 D80 SET 8 ldquoExpression Publicationsrdquo publishes books in the categories of Computers Fiction Religion Humour Biography Crime Romance and 12 miscellaneous categories For the year 2007ndash2008 the sales volume of the 5 top ranked books which belong to the categories of Religion Humour Computers Romance and Biography were 5500 13000 18000 16000 and 7500 respectively and this contributed to 75 of the total sales volume The sales in the next fiscal year hiked spectacularly by 5625 with the books in the category of Humour contributing to 108 of the total sales volume in 2008ndash2009 The books in the categories of Computers Biography Fiction and Crime contributed 14 4 168 and 144 of the total sales volume in 2008ndash2009 The sales mentioned above are for the top five rated categories of books in the year 2008ndash2009 In 2007ndash2008 the sales of the miscellaneous categories was 15 of the total sales

29 If the increase in the sale of books in the category of Fiction in the year 2008ndash2009 is 400 with respect to previous year then what is the rank of the books in the category of Crime in the year 2007ndash2008 (considering that the sales of the number of books in the miscellaneous categories are equal) A6th B8th C7th D Cannot be determined

30 If the categories of books are ranked in the decreasing order of their sales in 2 years which of these books would rank 6th (the books in the miscellaneous category were not among the top seven for both the years) A Romance B Biography C Religion D Data insufficient

31 If the categories of books are ranked in the decreasing order of their sales in 2 years which of these books would rank 5th (the books in the miscellaneous category were not among the top seven for both the years) A Fiction B Crime C Romance D Cannot be determined

32 In the year 2007ndash2008 if the sale of category Fiction is ranked 6th then the total sale of the books on Crime in that year would be (Consider the total sale of number of books sold in each of the miscellaneous categories as equal)

A 4000 B More than 1000 but less than 4000 C Greater than 4000 D Cannot be determined SET 9 The total consumption of fertilisers in India in 1993ndash1994 was 52 lakh tonnes The total fertiliser market constitutes of 3 types of fertilisers viz nitrogen phosphate and potash In 1993ndash1994 nitrogen accounted for 65 of the total consumption while phosphate and potash were consumed in the ratio 2 1 The total consumption in 1995ndash1996 was 20 less than the total consumption for 1996ndash1997 while it was greater than the total for 1994ndash1995 by 10 The total consumption in 1994ndash1995 was 6 more than that in 1993ndash1994 The consumption of nitrogen fertiliser grew at a steady rate of 5 per annum over the previous years consumption The government has projected a 25 increase in total consumption in 1997ndash1998 over the 1996ndash1997 level The estimated production for 1997ndash1998 is 87 lakh tonnes

33 The individual consumption of nitrogen phosphate and potash fertiliser respectively in 1993ndash1994 (in lakh tonnes) were A31 14 7 B34 12 6 C28 16 8 D37 10 5

34 The total consumption of fertilisers in 1996ndash1997 was (in lakh tonnes) A6834 B7249 C8013 D7579

35 If the government was to import fertilisers to the extent of shortfall in production visndashandashvis the estimated consumption the total imports in 1997ndash1998 would amount to (in lakh tonnes) A984 B657 C777 D847

36 What percentage of the total consumption was attributed to nitrogen fertilisers in 1994ndash1995 A6439 B6573 C6017 D6247 SET 10 There are five friends A B C D and E The monthly salaries of A B C and D are Rs13000 Rs15000 Rs16000 and Rs20000 respectively The monthly salary of E is equal to the average salary of his other four friends The monthly savings of A is 10 of his monthly salary The monthly savings of B and C are equal and the same as 75 of the monthly savings of E D saves Rs1700 per month which is 85 of monthly savings of E

37 Find the monthly salary of E ARs13000 BRs12800 CRs32000 D None of these

38 How much does E save per month ARs1365 BRs2000 CRs1356 D None of these

39 What percent of his income does B save A10 B12 C95 D None of these

40 What is the average of the monthly savings of A B and C ARs1500 BRs1433 CRs2150 DRs2100 SET 11 A took a voluntary retirement on February 1st 2014 and received 10 lakhs as retirement benefits As on that day he also had Rs 3 lakhs in the bank Of the total amount he had 60 was invested in the bank which gives an annual compounded interest of 15 for three years Of the remaining part half was invested in shares which appreciated by 15 in the first year 6 in the second year and depreciated by 10 the next year The remaining part was invested in real estate The real estate values increased by 10 in the first year reduced by 10 in the next year and remained steady in the third year

41 What was the value (in rupees lakhs) of Arsquos investment on February 1st 2015 A 21 lakhs B 1482 lakhs C 1536 lakhs D 1597 lakhs

42 What was the approximate value (kin rupees lakhs) of his investment on 1st February 2017 A 1621 lakhs B 1682 lakhs C 17286 lakhs D 1787 lakhs

43 In which year did the investment show the maximum increase A First B Second C Third D Both (A) and (C) SET 12 A total of 1650 employees is working in a company in different departments The ratio of male employees to female employees in the organisation is 8679 There are total 5 departments in the company ie Product Development Sales and Marketing R amp D and Reinvestment Finance and HR Total 198 males work in Product Development department 18 employees work in Sales and Marketing department in which male to female ratio is 54 In Finance Department 77 males are working and the number of females in this department is 57th of the number of males The number of males in Sales and Marketing department is equal to the number of females in Product Development department The number of males in Finance department is half of the number of males in HR department Male to female ratio in R amp D and Reinvestment department is 1419

44 The number of males in R amp D and Reinvestment department is how much more than females in Product Development

45 Female in R amp D and Reinvestment department is what of the total number of females in the company (approximately)

46 The number of females in Finance department is what percent less than the number of females in Product Development department

SET 13 In a medical college there are 1600 students studying Dentistry and Homeopathy Each student from each course knows one or more languages out of English Hindi and Bengali 45 of the students study Dentistry and the remaining students study Homeopathy Out of the students studying Dentistry boys and girls are in the ratio 53 Out of the boys studying Dentistry 16 know only English 10 know only Hindi and 4 know only Bengali 24 know English as well as Hindi 20 know English as well as Bengali and 14 know Hindi as well as Bengali The remaining boys know all the three languages Out of the girls studying Dentistry 20 know only English 10 know only Hindi and 10 know only Bengali 20 know English as well as Hindi 20 know English as well as Bengali and 10 know Hindi as well as Bengali The remaining girls know all the three languages Out of the students studying Homeopathy boys and girls are in the ratio 47 Out of the boys studying Homeopathy 20 know only English 15 know only Hindi and 5 know only Bengali 15 know English as well as Hindi 25 know English as well as Bengali and 10 know Hindi as well as Bengali The remaining boys know all the three languages Out of the girls studying Homeopathy 15 know only English 15 know only Hindi and 5 know only Bengali 20 know English as well as Hindi 20 know English as well as Bengali and 15 know Hindi as well as Bengali The remaining girls know all the three languages

47 How many students studying Dentistry know only either English or Hindi A198 B117 C270 D156

48 How many students in the college know all the three languages A175 B170 C169 D270

49 What percent of the total number of girls in the college know Bengali A50 B55 C57 D60

50 How many students studying Homeopathy do not know English A198 B270 C288 D292 SET 14 A school has 400 students- boys and girls who are in the ratio of 35 The students speak Hindi English or both the languages 12 of the boys speak only Hindi 22 of the girls speak only English 24 of the total students speak only Hindi and the number of boys speaking both the languages is six times the number of boys speaking only Hindi

51 How many boys speak Hindi 52 How many girls speak only Hindi 53 How many students speak English 54 The number of girls speaking only Hindi is what percent of the total number of students

speaking only Hindi SET 15 People Power Corporation presently employs three Managers (A B and C) and five recruitment agents (D E F G and H) The company is planning to open a new office in San

Jose to manage placement of software professionals in the US It is planning to relocate two of the three managers and three of the five recruitment agents to the office at San Jose As it is an organization which is highly people oriented the management wants to ensure that the individuals who do not function well together should not be made as a part of the team going to the US The following information was available to the HR department of People Power Corporation Managers A and C are at each otherrsquos throat and therefore cannot be sent as a team to the new office C and E are excellent performers in their own right However they do not function together as a team They should be separated D and G have had a major misunderstanding during the last office picnic After the picnic these two have not been in speaking terms and should therefore not be sent as a team D and F are competing for a promotion that is due in another 3 months They should not be a team

55 If D goes to the new office which of the following is (are) true I C cannot go II A cannot go III H must also go A I only B II and III only C I and III only D I II and III

56 If A is to be moved as one of the Managers which of the following cannot be a possible working unit A ABDEH B ABFGH C ABEGH D ABDGH

57 If C and F are moved to the new office how many combinations are possible A 4 B 1 C 3 D 5

58 Given the group dynamics of the Managers and the recruitment agents which of the following is sure to find a berth in the San Jose office A B B H C G D E SET 16 Ghosh Babu took voluntary retirement in Dec 1991 and received a certain amount of money as retirement benefits On Jan 1 1992 he invested the entire amount in shares At the end of the month he sold all his shares and realised 25 profit On Feb 1 he reinvested the entire amount in shares which he sold at the end of the month at a loss of 20 Again he invested the entire amount on Mar 1 in a new company At the end of the month he sold the new company to a friend and realised a profit of 20 in the process He invested the entire amount in shares on Apr 1 which he sold at the end of the month for Rs 108000 incurring a loss of 10

59 What is the amount of retirement benefits received by Ghosh Babu A Rs 108000 B Rs 125000 C Rs 120000 D Rs 100000

60 The percentage profit received by Ghosh Babu between Jan 1 and Apr 30 is A 800 B 1500 C - 1000 D None of these

61 The amount of loss incurred by Ghosh Babu based on his operation in Apr 1992 is A Rs 25000 B Rs 12000 C Rs 20000 D Rs 8000

62 The maximum amount invested by Ghosh Babu in any one month was in A January B February C March D April SET 17 A school consisting of a total of 1560 students has boys and girls in the ratio of 7 5 respectively All the students are enrolled in different types of hobby classes viz Singing Dancing and Painting One-fifth of the boys are enrolled in only Dancing classes Twenty per cent of the girls are enrolled in only Painting classes Ten percent of the boys are enrolled in

only Singing classes Twenty-four per cent of the girls are enrolled in both Singing and Dancing classes together The number of girls enrolled in only Singing classes is two hundred per cent of the boys enrolled in the same One-thirteenth of the boys are enrolled in all the three classes together The respective ratio of boys enrolled in Dancing and Painting classes together to the girls enrolled in the same is 2 1 respectively Ten per cent of the girls are enrolled in only Dancing classes whereas eight per cent of the girls are enrolled in both Dancing and Painting classes together The remaining girls are enrolled in all the three classes together The number of boys enrolled in Singing and Dancing classes together is fifty per cent of the number of girls enrolled in the same The remaining boys are enrolled in only Painting classes

63 Total number of girls enrolled in Singing is approximately what per cent of the total number of students in the school A 37 B 19 C 32 D 26

64 What is the respective ratio of the number of girls enrolled in only Painting classes to the number of boys enrolled in the same A 77 26 B 21 73 C 26 77 D 73 21

65 Number of girls enrolled in only Dancing classes is what per cent of the boys enrolled in the same A 3867 B 3571 C 4183 D 2862

66 What is the total number of boys who are enrolled in Dancing A 318 B 364 C 292 D 434 SET 18 Not surprisingly the growth of the hotel industry is driven by the increase in the number of people using hotels and the increase in per person use of the hotel In 2004 it is expected that there will be 200 million hotel users in India or about 20 per cent of the population will generate Rs 50 billion in hotel revenues Industry revenues should expand from Rs 50 billion to Rs 150 billion by 2008 while the number of users should grow to over 560 million or to about half the population of India in the same period

67 What is the estimated population of India in 2004 A 98 crore B 100 crore C 110 crore D 115 crore

68 What will be the simple average growth rate of population of India in the given period 2004-2008 A 2

B 3 C 4 D 45

69 What will be the growth in percentage of users in India by 2008 A 100 B 150 C 180 D 200

70 What will be the percentage growth of the revenues of the hotel industry in the given period A 200 B 230 C 260 D 300 SET 19 Bihar and Orissa are the most deprived states of India While they contain one-fifth of Indiarsquos population they have almost one-third of Indiarsquos illiterates In 1998 only a small fraction of Orissa and Biharrsquos population was literate versus 85 per cent of Keralarsquos population More than two-thirds of the births are not attended by any medical facility 110th of the infants born in Orissa and Bihar die in infancy and an equal number before reaching the age of five Almost 90 per cent of the under five deaths are due to malnutrition From amongst the lucky kids who have survived for the first five years 13rd of them work as child labourers and only half of the remaining are sent to school Of those who attend classed only 40 per cent are able to reach Std V In India 30 per cent of the children under 16 work as labourers Orissa and Bihar contain 13rd of the child labourers in India India has the largest population of child labourers which is 115th of its total population In Orissa and Bihar out of 100 children enrolled in school 32 are girls And out of 100 who attend Std X only 10 are girls Only 38 out of 100 Indian women are literate versus 57 per cent of males Even in wealthy states such as Punjab girls suffer from malnutrition seven times more than boys do The total population of the country was 90 crore in 1998 and the ratio of male to female in India was 10 to 9

71 According to the information provided what percentage of the infants in Orissa and Bihar attend Std V A 1133 B 1066 C 1333 D 1233

72 The number of child labourers in India in 1998 are A 15 crore B 16 crore C 12 crore D 6 crore

73 The Orissa and Bihar out of 100 born approximately how many children work as child labourers A 27 B 32 C 13 D 38

74 What percentage of girl children enrolled in school reach Std X in Orissa and Bihar

A 10 B 32 C 60 D Insufficient data SET 20 AMS Inc is the leader in selling ideas universe wide but its maximum revenue comes from three principal planets only viz Earth Mars Jupiter Further it has three products viz CSP CC and CP In a particular year the number of units sold had a distribution as follows The number of units of CCs sold on Mars was 12 per cent of the number of units of CPs sold on Earth The number of units of CPs sold on Jupiter was 1000 Total number of CC units sold was 2600 Total number of CP units was 200 higher than that of the total number of units of CCs sold The number of units of CSP sold on Mars was 10 per cent of the number of units of CP sold on Jupiter The number of units of CSP sold on Earth was 2000 The number of units of CC sold on Earth was 15 per cent of the number of units CSP sold on Jupiter The prices of the units on the different planets were as follows Earth rarr Rs 15 per unit Mars rarr Rs 10 per unit Jupiter rarrRs 8 per unit The number of units of CSP sold on Jupiter was 300 The number of units of CP sold on Earth was 600

75 The number of units of CC sold on Jupiter is A 1520 B 2483 C 3423 D 600

76 The revenue generated on Earth is greater than that generated on Jupiter by about A Rs 8000 B Rs 9000 C Rs 10000 D None of these

77 The overall revenue generated is the highest from A CSPs B CP C CCs D Canrsquot be determined SET 21 An organization consists of 3500 employees working in different departments viz HR Marketing IT Production and Accounts The ratio of male to female employees in the organisation is 3 2 8 of the males work in the HR department 22 of the female work in the account department The ratio of males to females working in the HR department is 3 5 Oneseventh of the females work in the IT department 46 of the males work in the

Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

78 The number of males working in the Account department forms approximately what percent of the total number of males in the organisation A 6 B 8 C 10 D 11

79 How many females work in Production department A 140 B 200 C 180 D None

80 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A 28 B 32 C 29 D 31

81 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A 15 8 B 1 2 C 8 15 D 2 1

SET 22 A B and C started a business by investing Rs 800 Rs 1600 and Rs 2000 respectively After a quarter they invested amounts in a ratio 1 4 2 After another quarter they invested amounts in ratio 3 2 3In the last quarter the ratio of investments was same as in 2nd quarter Also in the last quarter the respective amounts of A B and C was double than the respective amounts invested in 2nd quarter The total investment of C before 4th quarter was Rs 1400 more than that of A during same duration Also ratio of Brsquos share in profit to total profit at the end of year was 66 153

82 Find the total investment of A B and C A Rs 10200 B Rs 11300 C Rs 9800 D Rs 10080

83 If they respectively had invested same amounts in each quarter after quarter 1 which is equal to their respective investments in quarter 1 then what would be the profit of A at the end of year out of a total profit of Rs 19350 A Rs 2510 B Rs 3320 C Rs 2560 D Rs 3150

84 If the respective investments in third quarter was changed and this was in ratio 2 4 1 (other investments being the same) then what would be the total investment of all three in third quarter if the average investment of all A B and C was Rs 3100 for whole year A Rs 500 B Rs 800 C Rs 700 D Rs 900 SET 23 The total population of village satana is 3550 out of which 36 people are below poverty line The total population of Satana is 11 frac14 less than the total population of amin while there are 29 people in amin who lives below poverty line In Nilokheri the people living below poverty line are 40 more than that in amin which is 40 of the total population of this village The average population of Gharaunda and Samalkha is equal to the average population of amin and Nilokheri while the difference between their population is 1800 (Village Samalkha is more populated) 47 of the population of Gharaunda are below poverty line Overall 46 of the population of all villagesrsquo together lives below poverty line

85 What percent of population of Samalkha lives above poverty line (Approximate) A 26 B 27 C 28 D 29

86 Find the approximate average no of people below poverty line in the given villages A 1610 B 1620 C 1615 D 1320

87 If 35 of the BPL population of Nilokheri are children while 30 of the overall population of this village are children Then what percent of population above poverty line are children A 25 B 30 C 26 13 D 26 23

88 What is the difference between total population of Nilokheri and that of Gharaunda A 300 B 200 C 250 D 400

SET 24

Gaurav a sweet seller bought some quantity of three types of sweets Rasgulla Rasmalai and Kalakand in ratio of 6 10 9 Kalakand costed him a total of Rs 18900 at rate of 420 per kg By selling Kalakand at a discount of 5 he earned a profit of 13 221 On Rasmalai (which was marked Rs 500 per kg) he earned Rs 5 less profit per kg as compared to that on Kalakand by selling Rasmalai at 10 discount Gaurav spent a total of Rs 46400 on buying these sweets while he earned a total profit of Rs 5875 on selling all bought sweets Rasgullas were marked 40 above cost price per kg

89 What is the difference between the number of Accord cars sold by dealers D and E together

and the number of City cars sold by dealers B and F together A 3658 B 3712 C 4205 D 3252

90 If Gaurav gave an extra discount of 20 on Kalakand then his gain or loss was

A 9 11

21 profit B 8

11

21 loss C 10

11

23 loss D 9

11

21 loss

91 Find the total quantity of sweets bought by Gaurav A 135 kg B 126 kg C 125 kg D 120 kg

92 If 10kg of Rasmalai was wasted away due to some reason Find profit or loss by selling the remaining Rasmalai as per given condition A 10 loss B 10 gain C 12 loss D 15 loss SET 25 An organization consists of 3500 employees working in different departments viz HR Marketing IT Production and Accounts The ratio of male to female employees in the organisation is 3 2 8 of the males work in the HR department 22 of the female work in the account department The ratio of males to females working in the HR department is 3 5 One-seventh of the females work in the IT department 46 of the males work in the Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

93 The number of males working in the Account department forms approximately what per cent of the total number of males in the organisation A 6 B8 C10 D11

94 How many females work in Production department A 140 B200 C180 DNone of these

95 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A28 B30 C29 D31

96 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A158 B12 C815 D21 SET 26

In the recently held Commonwealth Games a total number of 500 players participated in five different games viz Athletics Hockey Lawn Tennis Rugby and Badminton 15 of the total players participated in Badminton 25 of the total players participated in Hockey 6 of the total players participated in Lawn Tennis and 25 of the total players participated in Athletics The remaining players participated in Rugby One-fourth of the Hockey players are females 20 of the Badminton players are males Half of the players who participated in Lawn Tennis are males There are 55 female athletes No female player participated in Rugby

97 The number of female players who participated in Badminton is approximately what per cent of the total number of players who participated in Rugby A82 B80 C86 D76

98 What is the difference between the number of male players who participated in Hockey and the number of female players who participated in Lawn Tennis A125 B145 C130 D135

99 If due to certain reason Athletics was dropped and all the athletes left the tournament then what was the percentage of male players among the total players remaining in the tournament A4566 B4033 C3533 DNone of these

100 What is the ratio of the total number of male players participating in Badminton to the total number of female players participating in Hockey A353 B310 C510 D325 SET 27 The premises of an institute are to be renovated Only the floor is to be renovated either with marble or with wood All rooms halls and pantry are rectangular The area to be renovated comprises a hall measuring 33m by 39m The directorrsquos room measures 13m by 12m and the pantry measures 14m by 12m A record keeping-cum-server room measures 23m by 13m and the accounts room measures 12m by 23m The total area of the institute is 2500 square metres The cost of wooden flooring is Rs 170 per square metre and the cost of marble flooring is Rs 190 per square metre The accounts room the record keeping-cum-server room and the pantry are to be floored with marble The directorrsquos room and the hall are to be floored with wood

101 What is the ratio of the total cost of wooden flooring to the total cost of marble flooring A 1443 735 B 8177 4655 C 1443 4655 D 24531 14117

102 If four walls and ceiling of the room (the height of the room is 15 metres) are to be painted at the cost of Rs 190 per square metre how much will be the total cost of renovation of the directorrsquos room including the cost of flooring A 198660 B 178680 C 198880 D 22876

103 If the remaining area of the institute is to be carpeted at the rate of Rs 210 per square metre by how much will the cost of renovation of institute premises increase A 75000 B72840 C65940 D 75940

104 What is the percentage area of the institute that is not to be renovated A1644 B1356 C1455 D1256

SET 28 A total of 1650 students are studying in an engineering college in different departments The ratio of male students to female students in the college is 8679 The college had a total of 5 departments which are mechanical civil electrical Biotechnology and computer science Total 198 males study in the mechanical department 18 students study in the civil department in which male to female ratio is 54 In the biotechnology department 77 male students are studying and the number of female students in this department is 57th of the number of males The total number of male students in the civil department is equal to the number of female students in the mechanical department The number of males in biotechnology department is half of the number of total male students in computer science department In the electrical department the male to female ratio is 1419

105 The number of male students in electrical department is how much more than female students in mechanical

106 Female students in electrical department is what of the total number of females in the college (approximately) SET 29 During the period 1990-91 to 1994-95 the unit sales of Motorcycles witnessed a simple average growth rate of 45 and the unit price experienced a simple average growth rate of 41 In the year 1990-91 amp 1992-93 the selling price of motorcycle was Rs 50000 The unit selling price rose by Rs 2500 each in the years 1991-92 and 1994-95 Between 1990-91 and 1992-93 unit sales increased by 155 In 1992-93 approx 2888 units and in 1993-94 3000 units were sold In 1991-92 the sales increased by Rs 1281 crore and number of units sold increased by 125

107 The rupee sales of the motorcycles in 1990-91 is A Rs 180crore B Rs 125crore C Rs 135crore D Rs 100crore

108 How many motorcycles were sold in 1991-92 A 2500 B 2625 C 3050 D 4000

109 How many motorcycles were sold during the period 1990-91 to 1994-95 A 15025 B 14005 C 14076 D 15000

110 What is the selling price of a motorcycle in 1993-94 A Rs 50000 B Rs 52500 C Rs 57750 D Rs 60000

SET 30 Mlon huskthe space Y inventor took his team of scientist to newly found planetrdquoEuro Chandrdquo The team agreed on the condition that they will not do any research during their visit but will only do rest But Husk as per his nature observed various phenomenon on new planet including the gravitational pull He observed that a kg on earth is equivalent to 12 kg on Euro chand except kg on new planet is called Euroc Slen weighs 552 Euroc weighs heavier than all except Plen who weighs 108 Euroc more Olen the lightest weighs 252 Euroc less than Dlen Jlen weighs 48 Euroc less than Slen and 48 Euroc more than Dlen

111 What is the weight of Plen (in Kg) A55 B46 C17 D48

112 What is the weight of Olen (in Euronc ) A505 B246 C218 D204

113 Approximately how many times is the weight of Plen that of Dlen A145 B107 C218 D214

114 Weight of Dlen is what moreless than weight of Jlen

A111 B108 C95 D121 SET 31 In a MNC there are 5000 employees In that there are 6 departments ie Accounts department maintenance-admin department HR department production department RampD department marketing department In maintenance- admin department there is 15 of total number of employees In that 40 are females Total number of persons working in RampD department is equal to total number of males working in maintenance department Male to female ratio of RampD is 45In production department 1500 persons are working there are males only In HR department the number of persons working is 15 of number of persons working in production department where 80 are females The number of people working in Accounts department is 60 of production department in that number of females are 550 The number of female in marketing department 500

115 Total number of males in RampD department is what percentage of total number of males in the marketing department A50 B 375 C 33 13 D1007

116 What is the percentage increasedecrease in total number of females in HR department to the total number of males in maintenance ndash admin department A5334 increase B5334 decrease C4666 increase D4666decrease

117 What is the difference between total number of males in marketing department to total number of females in the accounts department A75 B50 C60 D90

118 What is the ratio of total number of males in HR department to the total number of females in maintenance ndash admin department A15 B27 C35 D47 SET 32

According to A the census has been taken by the Government for literacy rate in two villages

A and B total population is 6 00000 In which the ratio between total numbers of males to

total number of females is 53 and the ratio of total population in village A to village B is 1713

The ratio of number of males in village A to number of males in village B is 78Total Ratio of

literate to illiterate (in men) 41 Out of total women only 35 are literates Total percentage

of adults is 80 ( m f = 53) in total population and in remaining 10 are children all other

peoples are senior citizens

119 What is the difference between literate people to total number of senior citizens

A378750 B78750 C270750 D221250

120 Total number of literate males in village A (if 45 of literate males are in Village A) is what percentage of total number of illiterate Females (Approximately) A97 B92 C89 D85

121 What is the ratio of males in village B to Adult females in the survey A54 B45 C910 D109

122 What is the increasedecrease in percentage of total number children to the

difference between the populations of village A to village B

A85 decrease B 85 increase C 95 increase D95 decrease

SET 33 Acity consists of 2400 employees working in different IT companies viz TCS Infosys Wipro Tech Mahindra and Oracle The ratio of male to female employees in the city is 5 3 respectively Twelve per cent of the males work in the TCS Company Twenty four per cent of the females work in the Oracle Company The ratio of males to females working in the TCS company is 6 11 respectively One-ninth of the females work in the Wipro Company Forty two percent of the males work in the Tech Mahindra Company Number of females working in the Tech Mahindra Company is ten percent of the males working in the same The remaining females work in the Infosys Company The total number of employees working in the Wipro Company is 285 Twenty two percent of the males work in the Infosys Company and the remaining work in the Oracle Company

123 The number of females working in the Tech Mahindra Company TCS Company and Infosys company together forms what percent of the total number of females in the City A6488 B5765 C 4896 D7527

124 The total number of females working in the TCS and Infosys Company together

forms what percent of the total number of employees in Tech Mahindra Company

A7018 B8047 C 7526 D7518

125 What is the difference between the number of males in Infosys Company and

number of females to the Oracle Company together to the number of males in Tech

Mahindra Company and number of females to the TCS Company together

A434 B427 C404 D414

126 The number of males working in the Wipro Company and the number of females

working in the Infosys Company together forms approximately what percent of the total

number of males in the City (Rounded off the nearest percentage)

A50 B25 C21 D18

SET 34

A School consisting of a total of 1560 students has boys and girls in the ratio of 7 5

respectively All the students are enrolled for different country tours viz Russia Switzerland

and Japan One-fifth of the boys are enrolled for only Switzerland tour Twenty percent of

the girls are enrolled for only Japan tour Ten percent of the boys are enrolled for only Russia

tour Twenty four percent of the girls are enrolled for both Russia and Switzerland tour

together The number of girls enrolled for only Russia tour is two hundred percent of the

boys enrolled in the same One-thirteenth of the boys are enrolled for all the three tour

together The respective ratio of boys enrolled for Switzerland and Japan tour together to

the girls enrolled for the same is 2 1 respectively Ten percent of the girls are enrolled for

only Switzerland tour whereas eight percent of the girls are enrolled for both Switzerland

and Japan tour together The remaining girls are enrolled for all the three tour together The

number of boys enrolled for Russia and Switzerland tour together is fifty percent of the

number of girls enrolled for the same The remaining boys are enrolled for only Japan tour

127 What is the respective ratio of the number of girls enrolled for only Japan tour and

number of boys enrolled for Switzerland tour together to the number of boys enrolled for

the Japan tour and number of girls enrolled for Switzerland tour together

A7752 B7552 C5275 D5277

128 Number of girls enrolled for only Switzerland Russia and Japantour together is what

percent of the boys together enrolled for the same (Rounded off to two digits after

decimal)

A3757 B5729 C6193 D5522

129 What is the total number of students enrolled for all the three tour and number of

girls enrolled for Switzerland and Russia tour together and number of boys enrolled for

Switzerland and Japan tour together

A395 B2415 C385 D390

130 What is the sum of the total number of boys who are enrolled for Switzerland and

the total number of girls who are enrolled for same tour together

A872 B752 C802 D772

SET 35

A radio station surveyed 200 students to determine the types of music they liked There are

three types of music rock music folk music and classical music The survey revealed that 57

percent liked rock music 25 percent liked folk music and 205 percent liked classical music 14

students liked rock music and folk music 15 students liked rock music and classical music 6

students liked only classical music and folk music 90 of them liked only rock music

131 How many of them liked folk music but not rock music

A36 B41 C30 D44

132 How many of them liked any two types of music only

A15 B16 C19 D25

133 How many students did not like any of the three types

A35 B40 C30 D25

134 What is the ratio of who liked rock and classical music together to the ratio of who

liked only folk music

A51 B3110 C316 D125

SET 36

In a shopping mall there are three different varieties of dress materials Cotton Silk and

Chiffon There are 300 customers visited the Shop 50 of customers purchased Cotton

material 40 of customers purchased Chiffon material and 60 of customers purchased Silk

material The customers who purchased any of two dress materials are 90 20 of

customers who purchased Cotton also purchased other two materials The customers who

purchased only Silk material are 20 more than that of who purchased only Chiffon material

30 Customers are purchased only Silk and Chiffon material

135 How many of them purchased only one variety of dress material

A150 B180 C120 D160

136 How many of them purchased at least two types of dress materials

A90 B100 C120 D140

137 What is the percentage of the customers who purchased only Silk material to that of

the customers who purchased all types of dress material

A30043 B30553 C35523 D23333

138 How many of them did not purchase any of the three types of materials

A10 B15 C5 D None

SET 37

In a sports event six teams (A B C D E and F) are competing against each other Matches

are scheduled in two stages Each team plays three matches in stage ndash I and two matches in

Stage ndash II No team plays against the same team more than once in the event No ties are

permitted in any of the matches The observations after the completion of Stage ndash I and

Stage ndash II are as given below

Stage-I

bull One team won all the three matches

bull Two teams lost all the matches

bull D lost to A but won against C and F

bull E lost to B but won against C and F

bull B lost at least one match

bull F did not play against the top team of Stage-I

Stage-II

bull The leader of Stage-I lost the next two matches

bull Of the two teams at the bottom after Stage-I one team won both matches while the

other lost both matches

bull One more team lost both matches in Stage-II

139 The two teams that defeated the leader of Stage-I are

A F amp D B E amp F C B amp D D E amp D

140 The only team(s) that won both matches in Stage-II is (are)

A B B E amp F C A E amp F D B E amp F

141 The teams that won exactly two matches in the event are

A A D amp F B D amp E C E amp F D D amp F

142 The team(s) with the most wins in the event is (are)

A A B A amp C C B amp E D E

SET 38

Two traders Chetan and Michael were involved in the buying and selling of MCS shares

over five trading days At the beginning of the first day the MCS share was priced at ₹100

while at the end of the fifth day it was priced at ₹110 At the end of each day the MCS share

price either went up by ₹10 or else it came down by ₹10 Both Chetan and Michael took

buying and selling decisions at the end of each trading day The beginning price of MCS share

on a given day was the same as the ending price of the previous day Chetan and Michael

started with the same number of shares and amount of cash and had enough of both

Below are some additional facts about how Chetan and Michael traded over the five trading

days

middot Each day if the price went up Chetan sold 10 shares of MCS at the closing price On the

other hand each day if the price went down he bought 10 shares at the closing price

middot If on any day the closing price was above ₹110 then Michael sold 10 shares of MCS

while if it was below ₹90 he bought 10 shares all at the closing price

143 If Chetan sold 10 shares of MCS on three consecutive days while Michael sold 10

shares only once during the five days what was the price of MCS at the end of day 3

A ₹ 90 B ₹100 C ₹110 D ₹120

144 If Chetan ended up with ₹1300 more cash than Michael at the end of day 5 what

was the price of MCS share at the end of day 4

A ₹90 B ₹100 C ₹110 D₹120

145 If Michael ended up with 20 more shares than Chetan at the end of day 5 what was

the price of the share at the end of day 3

A₹90 B ₹100 C ₹110 D ₹120

146 If Michael ended up with ₹100 less cash than Chetan at the end of day 5 what was

the difference in the number of shares possessed by Michael and Chetan (at the end of day

5)

A Michael had 10 less shares than Chetan

B Michael had 10 more shares than Chetan

C Chetan had 10 more shares than Michael

D Both had the same number of shares

SET 39

Bankatlal acted as a judge for the beauty contest There were four participants viz Ms

Andhra Pradesh Ms Uttar Pradesh Ms West Bengal and Ms Maharashtra Mrs Bankatlal

who was very anxious about the result asked him about it as soon as he was back home

Bankatlal just told that the one who was wearing the yellow saree won the contest When

Mrs Bankatlal pressed for further details he elaborated as follows

I All of them were sitting in a row

II All of them wore sarees of different colors viz Green Yellow White Red

III There was only one runner up and she was sitting beside Ms Maharashtra

IV The runner up was wearing the Green saree

V Ms West Bengal was not sitting at the ends and was not a runner up

VI The winner and the runner up are not sitting adjacent to each other

VII Ms Maharashtra was wearing white saree

VIII Ms Andhra Pradesh was not wearing the Green saree

IX Participants wearing Yellow saree and White saree were at the ends

147 Who wore the Red saree A Ms Andhra Pradesh B Ms West Bengal C Ms Uttar Pradesh D Ms Maharashtra

148 Ms West Bengal was sitting adjacent to A Ms Andhra Pradesh and Ms Maharashtra B Ms Uttar Pradesh and Ms Maharashta C Ms Andhra Pradesh and Ms Uttar Pradesh D Ms Uttar Pradesh only

149 Which saree was worn by Ms Andhra Pradesh A Yellow B Red C Green D White

150 Who was the runner up

A Ms Andhra Pradesh B Ms West Bengal

C Ms Uttar Pradesh D Ms Maharashta

SET 40

Ghosh Babu goes to a casino in Kay - Kay islands where he comes across an interesting game

of cards The visitor playing the game is called the player amp the clubman is called the dealer

The rules of the game are as follows First the player picks the card This card is called the

base card amp the number on the face of the card is called the base value of the card Ace

King Queen amp Jack all have base value of 10 The dealer pays the player same number of

rupees as the base value of the card Now the dealer picks a card amp This is called the top

card If topcard is of the same suite then the player pays the dealer double the amount of

base value If it is of the same colour but not the same suite then the player pays the dealer

the amount of a bse value If it is of different colour then the dealer pays the player the

amount of base value Ghosh Babu plays the game 4 times First time he draws 8 of club amp

the dealer draws jack of club Second time he draws 10 of hearts amp the dealer draws 2 of

spade Third time he draws 6 of diamond amp the dealer draws 1 of heart Finally Ghosh Babu

draws 8 of spade and the dealer draws ace of the spade

151 If Ghosh Babu should leave the game when his profit is maximum then what is that

profit

A 12 B 18 C 20 D None of these

152 If Ghosh Babu did not have to borrow any money from anyone then what is the

minimum amount that he could have started with

A 16 B 24 C 8 D None of these

153 If Ghosh Babu is left with 100 rupees now what is the amount that he had started

with

A 120 B 104 C 96 D None of these

SET 41

Twenty one participants from four continents (Africa Americas Australasia and Europe)

attended a United Nations conference Each participant was an expert in one of four fields

labour health population studies and refugee relocation The following five facts about the

participants are given

I The number of labour experts in the camp was exactly half the number of experts in each

of the three other categories

II Africa did not send any labour expert Otherwise every continent including Africa sent at

least one expert for each category

III None of the continents sent more than three experts in any category

IV If there had been one less Australasian expert then the America would have had twice

many experts as each of the other continents

V Mike and Alfanso are leading experts of population studies who attended the conference

They are from Australasia

154 Which of the following numbers cannot be determined from the information given

A Number of labour experts from the Americas

B Number of health experts from Europe

C Number of health experts from Australasia

D Number of experts in refugee relocation from Africa

155 Which of the following combinations is NOT possible

A 2 experts in population studies from the Americas and 2 health experts from Africa

attended the conference

B 2 experts in population studies from the Americas and 1 health expert from Africa

attended the conference

C 3 experts in refugee relocation from the Americas and 1 health expert from Africa

attended the conference

D Africa and America each had 1 expert in population studies attending the conference

156 If Ramos is the lone America expert in population studies which of the following is

NOT true about the numbers of experts in the conference from the four continents

A There is one expert in health from Africa

B There is one expert in refugee relocation from Africa

C There are two experts in health from the Americas

D There are three experts in refugee relocation from the Americas

157 Alex an American expert in refugee relocation was the first keynote speaker in the

conference What can be inferred about the number of American experts in refugee

relocation in the conference excluding Alex (i) At least one (ii) Atmost two

A Only (i) and not (ii) B Only (ii) and not (i)

C Both (i) and (ii) D Neither (i) nor (ii)

SET 42

Help Distress (HD) is an NGO involved in providing assistance to people suffering from

natural disasters Currently it has 37 volunteers They are involved in three projects

Tsunami Relief (TR) in Tamil Nadu Flood Relief (FR) in Maharashtra and Earthquake Relief

(ER) in Gujarat Each volunteer working with Help Distress has to be involved in at least one

relief work project

bull A Maximum number of volunteers are involved in the FR project Among them the

number of volunteers involved in FR project alone is equal to the volunteers having

additional involvement in the ER project

bull The number of volunteers involved in the ER project alone is double the number of

volunteers involved in all the three projects

bull 17 volunteers are involved in the TR project

bull The number of volunteers involved in the TR project alone is one less than the number of

volunteers involved in ER project alone

bull Ten volunteers involved in the TR project are also involved in at least one more project

158 Based on the information given above the minimum number of volunteers involved

in both FR and TR projects but not in the ER project is

A 1 B 3 C 4 D 5

159 Which of the following additional information would enable to find the exact

number of volunteers involved in various projects

A Twenty volunteers are involved in FR B Four volunteers are involved in all the three projects C Twenty three volunteers are involved in exactly one project D No need for any additional information

160 After some time the volunteers who were involved in all the three projects were

asked to withdraw from one project As a result one of the volunteers opted out of the TR

project and one opted out of the ER project while the remaining ones involved in all the

three projects opted out of the FR project Which of the following statements then

necessarily follows

A The lowest number of volunteers is now in TR project B More volunteers are now in FR project as compared to ER project C More volunteers are now in TR project as compared to ER project D None of the above

161 After the withdrawal of volunteers as indicated in Question 85 some new

volunteers joined the NGO Each one of them was allotted only one project in a manner such

that the number of volunteers working in one project alone for each of the three projects

became identical At that point it was also found that the number of volunteers involved in

FR and ER projects was the same as the number of volunteers involved in TR and ER projects

Which of the projects now has the highest number of volunteers

A ER B FR C TR D Cannot be determined

SET 43

Mathematicians are assigned a number called Erdoumls number (named after the famous

mathematician Paul Erdoumls) Only Paul Erdoumls himself has an Erdoumls number of zero Any

mathematician who has written a research paper with Erdoumls has an Erdoumls number of 1 For

other mathematicians the calculation of hisher Erdoumls number is illustrated below

Suppose that a mathematician X has co-authored papers with several other mathematicians

From among them mathematician Y has the smallest Erdoumls number Let the Erdoumls number

of Y be y Then X has an Erdoumls number of y + 1 Hence any mathematician with no co-

authorship chain connected to Erdoumls has an Erdoumls number of infinity In a seven day long

mini-conference organized in memory of Paul Erdoumls a close group of eight mathematicians

call them A B C D E F G and H discussed some research problems At the beginning of the

conference A was the only participant who had an infinite Erdoumls number Nobody had an

Erdoumls number less than that of F

bull On the third day of the conference F co-authored a paper jointly with A and C This

reduced the average Erdoumls number of the group of eight mathematicians to 3 The Erdoumls

numbers of B D E G and H remained unchanged with the writing of this paper Further no

other co-authorship among any three members would have reduced the average Erdoumls

number of the group of eight to as low as 3

bull At the end of the third day five members of this group had identical Erdoumls numbers while

the other three had Erdoumls numbers distinct from each other

bull On the fifth day E co-authored a paper with F which reduced the grouprsquos average Erdoumls

number by 05 The Erdoumls numbers of the remaining six were unchanged with the writing of

this paper

bull No other paper was written during the conference

162 The Erdoumls number of C at the end of the conference was

A 1 B 2 C 3 D 4

163 The Erdoumls number of E at the beginning of the conference was

A 5 B 6 C 7 D 8

164 How many participants had the same Erdoumls number at the beginning of the

conference

A 2 B 3 C 4 D 5

SET 44

K L M N P Q R S U and W are the only ten members in a department There is a proposal

to form a team from within the members of the department subject to the following

conditions

bull A team must include exactly one among P R and S

bull A team must include either M or Q but not both

bull If a team includes K then it must also include L and vice versa

bull If a team includes one among S U and W then it must also include the other two

bull L and N cannot be members of the same team

bull L and U cannot be members of the same team

The size of a team is defined as the number of members in the team

165 Who can be a member of a team of size 5

A K B L C M D P

166 Who cannot be a member of a team of size 3

A L B M C N D P

167 What could be the size of a team that includes K

A 2 or 3 B 2 or 4 C 3 or 4 D Only 4

168 In how many ways a team can be constituted so that the team includes N

A 2 B 3 C 4 D 6

SET 45

(i) There are three houses on each side of the road

(ii) These six houses are labeled as P Q R S T and U

(iii) The houses are of different colours namely Red Blue Green Orange Yellow and

White

(iv) The houses are of different heights

(v) T the tallest house is exactly opposite to the Red coloured house

(vi) The shortest house is exactly opposite to the Green coloured house

(vii) U the Orange coloured house is located between P and S

(viii) R the Yellow coloured house is exactly opposite to P

(ix) Q the Green coloured house is exactly opposite to U

(x) P the White coloured house is taller than R but shorter than S and Q

169 Which is the second tallest house

A P B S C Q D cannot be determined

170 What is the colour of the house diagonally opposite to the Yellow coloured house

A White B Blue C Green D Red

171 What is the colour of the tallest house

A Red B Blue C Green D Yellow

SET 46

A leading socialite decided to organise a dinner and invited a few of her friends Only the

host and the hostess were sitting at the opposite ends of a rectangular table with three

persons along each side The pre-requisite for the seating arrangement was that each person

must be seated such that atleast on one side it has a person of opposite sex Maqbool is

opposite Shobha who is not the hostess Ratan has a woman on his right and is sitting

opposite a woman Monisha is sitting to the hostessrsquos right next to Dhirubhai One person is

seated between Madhuri and Urmila who is not the hostess The men were Maqbool Ratan

Dhirubhai and Jackie while the women were Madhuri Urmila Shobha and Monisha

172 The eighth person present Jackie must be I the host II seated to Shobarsquos right III

seated opposite Urmila

A I only B III only C I and II only D II and III only

173 Which of the following persons is definitely not seated next to a person of the same

sex

A Maqbool B Madhuri C Jackie D Shobha

174 If Ratan would have exchanged seats with a person four places to his left which of

the following would have been true after the exchange

I No one was seated between two persons of the opposite sex (eg no man was seated

between two women)

II One side of the table consisted entirely of persons of the same sex

III Either the host or the hostess changed seats

A I only B II only C I and II only D II and III only

175 If each person is placed directly opposite his or her spouse which of the following

pairs must be married

A Ratan and Monisha B Madhuri and Dhirubhai

C Urmila and Jackie D Ratan and Madhuri

SET 47

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

Institute of Management Bangalore (IMB) conducted its entrance test called Admission Test (AT) for the admission to its MBA course The test had three sections with five questions each In each section Q1 to Q4 were lsquoMultiple Choice Questionsrsquo (MCQ) with four options each (options were a b c and d) out of which only one was correct In each section Q5 was lsquoType In - The Answerrsquo (TITA) question for which no options were given and students were expected to type in their answer in the textbox provided Each correct answer fetched three marks while there was a penalty of one mark for incorrect answers on MCQ questions and there was no penalty for incorrect answers on TITA questions or unattempted questions After the exam three coaching institutes P Q and R published their answer keys for the questions in AT Later IMB also published the official answer keys for the questions in AT Following were the answer keys of the three coaching institutes and the official answer keys

Following were the answers of the four friends named Amit Bela Chitra and Dinu for the 15 questions in the test (NA means lsquoNot attemptedrsquo)

The score of the students in AT was calculated according to the official answer key released by IMB and the results were declared accordingly

17 Coaching institutes P Q and R predicted the following cut-offs (minimum marks required in each section and overall for getting an interview call from IMB)

Each of the four friends calculated their expected scores by independently using the answer keys released by each of the three coaching institutes to check whether they met the cut-off criteria How many of the four friends meet the cut-off criteria as expected by all the three institutes

18 After the result of AT was declared IMB called students who scored minimum 5 marks in each of the three sections and 15 marks overall for interviews How many of the four students were called for the interviews

19 Who out of the four students waswere called for the interview by IMB (Use information given in the previous question) A Only Amit B Only Bela C Only Chitra D Both Amit and Bela

20 Suppose we define reliability of a coaching institute as the number of questions in AT (out of 15) that had same answers in its answer key as the official answer key released by IMB which of the following coaching institute had highest value of reliability A Institute P B Institute Q C Institute R D Both institutes Q and R SET 6 In the Hindustan Premier League total five teams- Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters participated Each team played one match against every other team and no match ended in a draw Each match involved a number of gold coins (called lsquoAwardrsquo for the match) such that the team that lost the match gave the number of gold coins equal to the award for that match to the team that won the match The sum of the gold coins received by a team at the end of the tournament is called lsquoProfitrsquo of the team while the sum total of the gold coins gave by a team at the end of tournament is called lsquoLossrsquo of the team Further it is known that I No two teams won the same number of matches and no two teams lost the same number of matches II For any team the lsquoAwardrsquo for any two matches were different III The lsquoAwardrsquo for any match is neither less than 4 nor more than 21 IV The sum of the lsquoProfitrsquo and the lsquoLossrsquo of the team that won all the matches as well as the team that lost all the matches was between 20 and 40 (including both 20 and 40) V The sum of the lsquoProfitrsquo and the lsquoLossrsquo for the teams Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 55 37 40 55 and 53 respectively

VI The number of matches won by Hyderabad Volcanoes was equal to the number of matches lost by Jaipur Royals The number of matches lost by Kolkata Riders was more than the number of matches lost by Hyderabad Volcanoes VII Bangalore Masters won 17 gold coins against Jaipur Royals and the lsquoAwardrsquo involved in the match between Kolkata Riders and Hyderabad Volcanoes was 4 VIII The lsquoProfitrsquo of Jaipur Royals was equal to the lsquoLossrsquo of Hyderabad Volcanoes

21 How many matches did Jaipur Royals win (Write 5 if your answer is lsquoCannot be determinedrsquo)

22 How many matches did Chandigarh Kings lose (Write 5 if your answer is lsquoCannot be determinedrsquo)

23 What was the total lsquoProfitrsquo for Bangalore Masters (Write 56 if your answer is lsquoCannot be determinedrsquo)

24 Which team won three matches A Kolkata Riders B Chandigarh Kings C Hyderabad Volcanoes D Cannot be determined SET 7 The following table gives the information of the students in Class 7 Class 8 Class 9 and Class 10 in Vidyamandir Senior Secondary School Jaipur over the given period of 3 years

Each year a certain number of students either passed the exam failed the exam repeated the exam or did not appear for the exam Also the Number of students in any class C for any year Y = New admissions for that class + Number of students of class (C-1) who passed in the year (Y-1) + Number of students failing in class C in year (Y-1) + Number of students of class C who did not write the exam in year (Y-1) For instance Number of students in class 8 in year 2016 = New admissions for class 8 in 2016 + Number of students of class 7 who passed in the year 2015 + Number of students failing in class 8 in year 2015 + Number of students of class 8 who did not write the exam in year 2015 It is known that no person repeated the exam in the year 2015 Any student can proceed to next class only by passing the exam No student leaves the school in the year 2015 2016 and 2017 Pass percentage = Number of pass students Number of total students Further it is known

1 Number of students failed in class 7 in 2015 is same as Number of students failed in class 10 in 2016

2 85 of the total students passed in class 8 in 2016 3 Number of students failed in class 9 in 2015 is 25 less than that of class 7 in the same year 4 In class 7 in 2016 4 Students did not pass

25 What is the highest pass percentage in any class (among 7th 8th 9th and 10th) in any year

from 2015-2017 A 9333 B 9424 C 9535 D 96

26 How many new students got admission in year 2017 in class 9th A1 B2 C3 D None of these

27 How many total students did not write the exams in class 7th 8th 9th and 10th in the year 2016 A64 B58 C48 D44

28 What is the approximate pass percentage in 7th 8th 9th and 10th class combined in the year 2017 combined A85 B90 C95 D80 SET 8 ldquoExpression Publicationsrdquo publishes books in the categories of Computers Fiction Religion Humour Biography Crime Romance and 12 miscellaneous categories For the year 2007ndash2008 the sales volume of the 5 top ranked books which belong to the categories of Religion Humour Computers Romance and Biography were 5500 13000 18000 16000 and 7500 respectively and this contributed to 75 of the total sales volume The sales in the next fiscal year hiked spectacularly by 5625 with the books in the category of Humour contributing to 108 of the total sales volume in 2008ndash2009 The books in the categories of Computers Biography Fiction and Crime contributed 14 4 168 and 144 of the total sales volume in 2008ndash2009 The sales mentioned above are for the top five rated categories of books in the year 2008ndash2009 In 2007ndash2008 the sales of the miscellaneous categories was 15 of the total sales

29 If the increase in the sale of books in the category of Fiction in the year 2008ndash2009 is 400 with respect to previous year then what is the rank of the books in the category of Crime in the year 2007ndash2008 (considering that the sales of the number of books in the miscellaneous categories are equal) A6th B8th C7th D Cannot be determined

30 If the categories of books are ranked in the decreasing order of their sales in 2 years which of these books would rank 6th (the books in the miscellaneous category were not among the top seven for both the years) A Romance B Biography C Religion D Data insufficient

31 If the categories of books are ranked in the decreasing order of their sales in 2 years which of these books would rank 5th (the books in the miscellaneous category were not among the top seven for both the years) A Fiction B Crime C Romance D Cannot be determined

32 In the year 2007ndash2008 if the sale of category Fiction is ranked 6th then the total sale of the books on Crime in that year would be (Consider the total sale of number of books sold in each of the miscellaneous categories as equal)

A 4000 B More than 1000 but less than 4000 C Greater than 4000 D Cannot be determined SET 9 The total consumption of fertilisers in India in 1993ndash1994 was 52 lakh tonnes The total fertiliser market constitutes of 3 types of fertilisers viz nitrogen phosphate and potash In 1993ndash1994 nitrogen accounted for 65 of the total consumption while phosphate and potash were consumed in the ratio 2 1 The total consumption in 1995ndash1996 was 20 less than the total consumption for 1996ndash1997 while it was greater than the total for 1994ndash1995 by 10 The total consumption in 1994ndash1995 was 6 more than that in 1993ndash1994 The consumption of nitrogen fertiliser grew at a steady rate of 5 per annum over the previous years consumption The government has projected a 25 increase in total consumption in 1997ndash1998 over the 1996ndash1997 level The estimated production for 1997ndash1998 is 87 lakh tonnes

33 The individual consumption of nitrogen phosphate and potash fertiliser respectively in 1993ndash1994 (in lakh tonnes) were A31 14 7 B34 12 6 C28 16 8 D37 10 5

34 The total consumption of fertilisers in 1996ndash1997 was (in lakh tonnes) A6834 B7249 C8013 D7579

35 If the government was to import fertilisers to the extent of shortfall in production visndashandashvis the estimated consumption the total imports in 1997ndash1998 would amount to (in lakh tonnes) A984 B657 C777 D847

36 What percentage of the total consumption was attributed to nitrogen fertilisers in 1994ndash1995 A6439 B6573 C6017 D6247 SET 10 There are five friends A B C D and E The monthly salaries of A B C and D are Rs13000 Rs15000 Rs16000 and Rs20000 respectively The monthly salary of E is equal to the average salary of his other four friends The monthly savings of A is 10 of his monthly salary The monthly savings of B and C are equal and the same as 75 of the monthly savings of E D saves Rs1700 per month which is 85 of monthly savings of E

37 Find the monthly salary of E ARs13000 BRs12800 CRs32000 D None of these

38 How much does E save per month ARs1365 BRs2000 CRs1356 D None of these

39 What percent of his income does B save A10 B12 C95 D None of these

40 What is the average of the monthly savings of A B and C ARs1500 BRs1433 CRs2150 DRs2100 SET 11 A took a voluntary retirement on February 1st 2014 and received 10 lakhs as retirement benefits As on that day he also had Rs 3 lakhs in the bank Of the total amount he had 60 was invested in the bank which gives an annual compounded interest of 15 for three years Of the remaining part half was invested in shares which appreciated by 15 in the first year 6 in the second year and depreciated by 10 the next year The remaining part was invested in real estate The real estate values increased by 10 in the first year reduced by 10 in the next year and remained steady in the third year

41 What was the value (in rupees lakhs) of Arsquos investment on February 1st 2015 A 21 lakhs B 1482 lakhs C 1536 lakhs D 1597 lakhs

42 What was the approximate value (kin rupees lakhs) of his investment on 1st February 2017 A 1621 lakhs B 1682 lakhs C 17286 lakhs D 1787 lakhs

43 In which year did the investment show the maximum increase A First B Second C Third D Both (A) and (C) SET 12 A total of 1650 employees is working in a company in different departments The ratio of male employees to female employees in the organisation is 8679 There are total 5 departments in the company ie Product Development Sales and Marketing R amp D and Reinvestment Finance and HR Total 198 males work in Product Development department 18 employees work in Sales and Marketing department in which male to female ratio is 54 In Finance Department 77 males are working and the number of females in this department is 57th of the number of males The number of males in Sales and Marketing department is equal to the number of females in Product Development department The number of males in Finance department is half of the number of males in HR department Male to female ratio in R amp D and Reinvestment department is 1419

44 The number of males in R amp D and Reinvestment department is how much more than females in Product Development

45 Female in R amp D and Reinvestment department is what of the total number of females in the company (approximately)

46 The number of females in Finance department is what percent less than the number of females in Product Development department

SET 13 In a medical college there are 1600 students studying Dentistry and Homeopathy Each student from each course knows one or more languages out of English Hindi and Bengali 45 of the students study Dentistry and the remaining students study Homeopathy Out of the students studying Dentistry boys and girls are in the ratio 53 Out of the boys studying Dentistry 16 know only English 10 know only Hindi and 4 know only Bengali 24 know English as well as Hindi 20 know English as well as Bengali and 14 know Hindi as well as Bengali The remaining boys know all the three languages Out of the girls studying Dentistry 20 know only English 10 know only Hindi and 10 know only Bengali 20 know English as well as Hindi 20 know English as well as Bengali and 10 know Hindi as well as Bengali The remaining girls know all the three languages Out of the students studying Homeopathy boys and girls are in the ratio 47 Out of the boys studying Homeopathy 20 know only English 15 know only Hindi and 5 know only Bengali 15 know English as well as Hindi 25 know English as well as Bengali and 10 know Hindi as well as Bengali The remaining boys know all the three languages Out of the girls studying Homeopathy 15 know only English 15 know only Hindi and 5 know only Bengali 20 know English as well as Hindi 20 know English as well as Bengali and 15 know Hindi as well as Bengali The remaining girls know all the three languages

47 How many students studying Dentistry know only either English or Hindi A198 B117 C270 D156

48 How many students in the college know all the three languages A175 B170 C169 D270

49 What percent of the total number of girls in the college know Bengali A50 B55 C57 D60

50 How many students studying Homeopathy do not know English A198 B270 C288 D292 SET 14 A school has 400 students- boys and girls who are in the ratio of 35 The students speak Hindi English or both the languages 12 of the boys speak only Hindi 22 of the girls speak only English 24 of the total students speak only Hindi and the number of boys speaking both the languages is six times the number of boys speaking only Hindi

51 How many boys speak Hindi 52 How many girls speak only Hindi 53 How many students speak English 54 The number of girls speaking only Hindi is what percent of the total number of students

speaking only Hindi SET 15 People Power Corporation presently employs three Managers (A B and C) and five recruitment agents (D E F G and H) The company is planning to open a new office in San

Jose to manage placement of software professionals in the US It is planning to relocate two of the three managers and three of the five recruitment agents to the office at San Jose As it is an organization which is highly people oriented the management wants to ensure that the individuals who do not function well together should not be made as a part of the team going to the US The following information was available to the HR department of People Power Corporation Managers A and C are at each otherrsquos throat and therefore cannot be sent as a team to the new office C and E are excellent performers in their own right However they do not function together as a team They should be separated D and G have had a major misunderstanding during the last office picnic After the picnic these two have not been in speaking terms and should therefore not be sent as a team D and F are competing for a promotion that is due in another 3 months They should not be a team

55 If D goes to the new office which of the following is (are) true I C cannot go II A cannot go III H must also go A I only B II and III only C I and III only D I II and III

56 If A is to be moved as one of the Managers which of the following cannot be a possible working unit A ABDEH B ABFGH C ABEGH D ABDGH

57 If C and F are moved to the new office how many combinations are possible A 4 B 1 C 3 D 5

58 Given the group dynamics of the Managers and the recruitment agents which of the following is sure to find a berth in the San Jose office A B B H C G D E SET 16 Ghosh Babu took voluntary retirement in Dec 1991 and received a certain amount of money as retirement benefits On Jan 1 1992 he invested the entire amount in shares At the end of the month he sold all his shares and realised 25 profit On Feb 1 he reinvested the entire amount in shares which he sold at the end of the month at a loss of 20 Again he invested the entire amount on Mar 1 in a new company At the end of the month he sold the new company to a friend and realised a profit of 20 in the process He invested the entire amount in shares on Apr 1 which he sold at the end of the month for Rs 108000 incurring a loss of 10

59 What is the amount of retirement benefits received by Ghosh Babu A Rs 108000 B Rs 125000 C Rs 120000 D Rs 100000

60 The percentage profit received by Ghosh Babu between Jan 1 and Apr 30 is A 800 B 1500 C - 1000 D None of these

61 The amount of loss incurred by Ghosh Babu based on his operation in Apr 1992 is A Rs 25000 B Rs 12000 C Rs 20000 D Rs 8000

62 The maximum amount invested by Ghosh Babu in any one month was in A January B February C March D April SET 17 A school consisting of a total of 1560 students has boys and girls in the ratio of 7 5 respectively All the students are enrolled in different types of hobby classes viz Singing Dancing and Painting One-fifth of the boys are enrolled in only Dancing classes Twenty per cent of the girls are enrolled in only Painting classes Ten percent of the boys are enrolled in

only Singing classes Twenty-four per cent of the girls are enrolled in both Singing and Dancing classes together The number of girls enrolled in only Singing classes is two hundred per cent of the boys enrolled in the same One-thirteenth of the boys are enrolled in all the three classes together The respective ratio of boys enrolled in Dancing and Painting classes together to the girls enrolled in the same is 2 1 respectively Ten per cent of the girls are enrolled in only Dancing classes whereas eight per cent of the girls are enrolled in both Dancing and Painting classes together The remaining girls are enrolled in all the three classes together The number of boys enrolled in Singing and Dancing classes together is fifty per cent of the number of girls enrolled in the same The remaining boys are enrolled in only Painting classes

63 Total number of girls enrolled in Singing is approximately what per cent of the total number of students in the school A 37 B 19 C 32 D 26

64 What is the respective ratio of the number of girls enrolled in only Painting classes to the number of boys enrolled in the same A 77 26 B 21 73 C 26 77 D 73 21

65 Number of girls enrolled in only Dancing classes is what per cent of the boys enrolled in the same A 3867 B 3571 C 4183 D 2862

66 What is the total number of boys who are enrolled in Dancing A 318 B 364 C 292 D 434 SET 18 Not surprisingly the growth of the hotel industry is driven by the increase in the number of people using hotels and the increase in per person use of the hotel In 2004 it is expected that there will be 200 million hotel users in India or about 20 per cent of the population will generate Rs 50 billion in hotel revenues Industry revenues should expand from Rs 50 billion to Rs 150 billion by 2008 while the number of users should grow to over 560 million or to about half the population of India in the same period

67 What is the estimated population of India in 2004 A 98 crore B 100 crore C 110 crore D 115 crore

68 What will be the simple average growth rate of population of India in the given period 2004-2008 A 2

B 3 C 4 D 45

69 What will be the growth in percentage of users in India by 2008 A 100 B 150 C 180 D 200

70 What will be the percentage growth of the revenues of the hotel industry in the given period A 200 B 230 C 260 D 300 SET 19 Bihar and Orissa are the most deprived states of India While they contain one-fifth of Indiarsquos population they have almost one-third of Indiarsquos illiterates In 1998 only a small fraction of Orissa and Biharrsquos population was literate versus 85 per cent of Keralarsquos population More than two-thirds of the births are not attended by any medical facility 110th of the infants born in Orissa and Bihar die in infancy and an equal number before reaching the age of five Almost 90 per cent of the under five deaths are due to malnutrition From amongst the lucky kids who have survived for the first five years 13rd of them work as child labourers and only half of the remaining are sent to school Of those who attend classed only 40 per cent are able to reach Std V In India 30 per cent of the children under 16 work as labourers Orissa and Bihar contain 13rd of the child labourers in India India has the largest population of child labourers which is 115th of its total population In Orissa and Bihar out of 100 children enrolled in school 32 are girls And out of 100 who attend Std X only 10 are girls Only 38 out of 100 Indian women are literate versus 57 per cent of males Even in wealthy states such as Punjab girls suffer from malnutrition seven times more than boys do The total population of the country was 90 crore in 1998 and the ratio of male to female in India was 10 to 9

71 According to the information provided what percentage of the infants in Orissa and Bihar attend Std V A 1133 B 1066 C 1333 D 1233

72 The number of child labourers in India in 1998 are A 15 crore B 16 crore C 12 crore D 6 crore

73 The Orissa and Bihar out of 100 born approximately how many children work as child labourers A 27 B 32 C 13 D 38

74 What percentage of girl children enrolled in school reach Std X in Orissa and Bihar

A 10 B 32 C 60 D Insufficient data SET 20 AMS Inc is the leader in selling ideas universe wide but its maximum revenue comes from three principal planets only viz Earth Mars Jupiter Further it has three products viz CSP CC and CP In a particular year the number of units sold had a distribution as follows The number of units of CCs sold on Mars was 12 per cent of the number of units of CPs sold on Earth The number of units of CPs sold on Jupiter was 1000 Total number of CC units sold was 2600 Total number of CP units was 200 higher than that of the total number of units of CCs sold The number of units of CSP sold on Mars was 10 per cent of the number of units of CP sold on Jupiter The number of units of CSP sold on Earth was 2000 The number of units of CC sold on Earth was 15 per cent of the number of units CSP sold on Jupiter The prices of the units on the different planets were as follows Earth rarr Rs 15 per unit Mars rarr Rs 10 per unit Jupiter rarrRs 8 per unit The number of units of CSP sold on Jupiter was 300 The number of units of CP sold on Earth was 600

75 The number of units of CC sold on Jupiter is A 1520 B 2483 C 3423 D 600

76 The revenue generated on Earth is greater than that generated on Jupiter by about A Rs 8000 B Rs 9000 C Rs 10000 D None of these

77 The overall revenue generated is the highest from A CSPs B CP C CCs D Canrsquot be determined SET 21 An organization consists of 3500 employees working in different departments viz HR Marketing IT Production and Accounts The ratio of male to female employees in the organisation is 3 2 8 of the males work in the HR department 22 of the female work in the account department The ratio of males to females working in the HR department is 3 5 Oneseventh of the females work in the IT department 46 of the males work in the

Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

78 The number of males working in the Account department forms approximately what percent of the total number of males in the organisation A 6 B 8 C 10 D 11

79 How many females work in Production department A 140 B 200 C 180 D None

80 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A 28 B 32 C 29 D 31

81 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A 15 8 B 1 2 C 8 15 D 2 1

SET 22 A B and C started a business by investing Rs 800 Rs 1600 and Rs 2000 respectively After a quarter they invested amounts in a ratio 1 4 2 After another quarter they invested amounts in ratio 3 2 3In the last quarter the ratio of investments was same as in 2nd quarter Also in the last quarter the respective amounts of A B and C was double than the respective amounts invested in 2nd quarter The total investment of C before 4th quarter was Rs 1400 more than that of A during same duration Also ratio of Brsquos share in profit to total profit at the end of year was 66 153

82 Find the total investment of A B and C A Rs 10200 B Rs 11300 C Rs 9800 D Rs 10080

83 If they respectively had invested same amounts in each quarter after quarter 1 which is equal to their respective investments in quarter 1 then what would be the profit of A at the end of year out of a total profit of Rs 19350 A Rs 2510 B Rs 3320 C Rs 2560 D Rs 3150

84 If the respective investments in third quarter was changed and this was in ratio 2 4 1 (other investments being the same) then what would be the total investment of all three in third quarter if the average investment of all A B and C was Rs 3100 for whole year A Rs 500 B Rs 800 C Rs 700 D Rs 900 SET 23 The total population of village satana is 3550 out of which 36 people are below poverty line The total population of Satana is 11 frac14 less than the total population of amin while there are 29 people in amin who lives below poverty line In Nilokheri the people living below poverty line are 40 more than that in amin which is 40 of the total population of this village The average population of Gharaunda and Samalkha is equal to the average population of amin and Nilokheri while the difference between their population is 1800 (Village Samalkha is more populated) 47 of the population of Gharaunda are below poverty line Overall 46 of the population of all villagesrsquo together lives below poverty line

85 What percent of population of Samalkha lives above poverty line (Approximate) A 26 B 27 C 28 D 29

86 Find the approximate average no of people below poverty line in the given villages A 1610 B 1620 C 1615 D 1320

87 If 35 of the BPL population of Nilokheri are children while 30 of the overall population of this village are children Then what percent of population above poverty line are children A 25 B 30 C 26 13 D 26 23

88 What is the difference between total population of Nilokheri and that of Gharaunda A 300 B 200 C 250 D 400

SET 24

Gaurav a sweet seller bought some quantity of three types of sweets Rasgulla Rasmalai and Kalakand in ratio of 6 10 9 Kalakand costed him a total of Rs 18900 at rate of 420 per kg By selling Kalakand at a discount of 5 he earned a profit of 13 221 On Rasmalai (which was marked Rs 500 per kg) he earned Rs 5 less profit per kg as compared to that on Kalakand by selling Rasmalai at 10 discount Gaurav spent a total of Rs 46400 on buying these sweets while he earned a total profit of Rs 5875 on selling all bought sweets Rasgullas were marked 40 above cost price per kg

89 What is the difference between the number of Accord cars sold by dealers D and E together

and the number of City cars sold by dealers B and F together A 3658 B 3712 C 4205 D 3252

90 If Gaurav gave an extra discount of 20 on Kalakand then his gain or loss was

A 9 11

21 profit B 8

11

21 loss C 10

11

23 loss D 9

11

21 loss

91 Find the total quantity of sweets bought by Gaurav A 135 kg B 126 kg C 125 kg D 120 kg

92 If 10kg of Rasmalai was wasted away due to some reason Find profit or loss by selling the remaining Rasmalai as per given condition A 10 loss B 10 gain C 12 loss D 15 loss SET 25 An organization consists of 3500 employees working in different departments viz HR Marketing IT Production and Accounts The ratio of male to female employees in the organisation is 3 2 8 of the males work in the HR department 22 of the female work in the account department The ratio of males to females working in the HR department is 3 5 One-seventh of the females work in the IT department 46 of the males work in the Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

93 The number of males working in the Account department forms approximately what per cent of the total number of males in the organisation A 6 B8 C10 D11

94 How many females work in Production department A 140 B200 C180 DNone of these

95 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A28 B30 C29 D31

96 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A158 B12 C815 D21 SET 26

In the recently held Commonwealth Games a total number of 500 players participated in five different games viz Athletics Hockey Lawn Tennis Rugby and Badminton 15 of the total players participated in Badminton 25 of the total players participated in Hockey 6 of the total players participated in Lawn Tennis and 25 of the total players participated in Athletics The remaining players participated in Rugby One-fourth of the Hockey players are females 20 of the Badminton players are males Half of the players who participated in Lawn Tennis are males There are 55 female athletes No female player participated in Rugby

97 The number of female players who participated in Badminton is approximately what per cent of the total number of players who participated in Rugby A82 B80 C86 D76

98 What is the difference between the number of male players who participated in Hockey and the number of female players who participated in Lawn Tennis A125 B145 C130 D135

99 If due to certain reason Athletics was dropped and all the athletes left the tournament then what was the percentage of male players among the total players remaining in the tournament A4566 B4033 C3533 DNone of these

100 What is the ratio of the total number of male players participating in Badminton to the total number of female players participating in Hockey A353 B310 C510 D325 SET 27 The premises of an institute are to be renovated Only the floor is to be renovated either with marble or with wood All rooms halls and pantry are rectangular The area to be renovated comprises a hall measuring 33m by 39m The directorrsquos room measures 13m by 12m and the pantry measures 14m by 12m A record keeping-cum-server room measures 23m by 13m and the accounts room measures 12m by 23m The total area of the institute is 2500 square metres The cost of wooden flooring is Rs 170 per square metre and the cost of marble flooring is Rs 190 per square metre The accounts room the record keeping-cum-server room and the pantry are to be floored with marble The directorrsquos room and the hall are to be floored with wood

101 What is the ratio of the total cost of wooden flooring to the total cost of marble flooring A 1443 735 B 8177 4655 C 1443 4655 D 24531 14117

102 If four walls and ceiling of the room (the height of the room is 15 metres) are to be painted at the cost of Rs 190 per square metre how much will be the total cost of renovation of the directorrsquos room including the cost of flooring A 198660 B 178680 C 198880 D 22876

103 If the remaining area of the institute is to be carpeted at the rate of Rs 210 per square metre by how much will the cost of renovation of institute premises increase A 75000 B72840 C65940 D 75940

104 What is the percentage area of the institute that is not to be renovated A1644 B1356 C1455 D1256

SET 28 A total of 1650 students are studying in an engineering college in different departments The ratio of male students to female students in the college is 8679 The college had a total of 5 departments which are mechanical civil electrical Biotechnology and computer science Total 198 males study in the mechanical department 18 students study in the civil department in which male to female ratio is 54 In the biotechnology department 77 male students are studying and the number of female students in this department is 57th of the number of males The total number of male students in the civil department is equal to the number of female students in the mechanical department The number of males in biotechnology department is half of the number of total male students in computer science department In the electrical department the male to female ratio is 1419

105 The number of male students in electrical department is how much more than female students in mechanical

106 Female students in electrical department is what of the total number of females in the college (approximately) SET 29 During the period 1990-91 to 1994-95 the unit sales of Motorcycles witnessed a simple average growth rate of 45 and the unit price experienced a simple average growth rate of 41 In the year 1990-91 amp 1992-93 the selling price of motorcycle was Rs 50000 The unit selling price rose by Rs 2500 each in the years 1991-92 and 1994-95 Between 1990-91 and 1992-93 unit sales increased by 155 In 1992-93 approx 2888 units and in 1993-94 3000 units were sold In 1991-92 the sales increased by Rs 1281 crore and number of units sold increased by 125

107 The rupee sales of the motorcycles in 1990-91 is A Rs 180crore B Rs 125crore C Rs 135crore D Rs 100crore

108 How many motorcycles were sold in 1991-92 A 2500 B 2625 C 3050 D 4000

109 How many motorcycles were sold during the period 1990-91 to 1994-95 A 15025 B 14005 C 14076 D 15000

110 What is the selling price of a motorcycle in 1993-94 A Rs 50000 B Rs 52500 C Rs 57750 D Rs 60000

SET 30 Mlon huskthe space Y inventor took his team of scientist to newly found planetrdquoEuro Chandrdquo The team agreed on the condition that they will not do any research during their visit but will only do rest But Husk as per his nature observed various phenomenon on new planet including the gravitational pull He observed that a kg on earth is equivalent to 12 kg on Euro chand except kg on new planet is called Euroc Slen weighs 552 Euroc weighs heavier than all except Plen who weighs 108 Euroc more Olen the lightest weighs 252 Euroc less than Dlen Jlen weighs 48 Euroc less than Slen and 48 Euroc more than Dlen

111 What is the weight of Plen (in Kg) A55 B46 C17 D48

112 What is the weight of Olen (in Euronc ) A505 B246 C218 D204

113 Approximately how many times is the weight of Plen that of Dlen A145 B107 C218 D214

114 Weight of Dlen is what moreless than weight of Jlen

A111 B108 C95 D121 SET 31 In a MNC there are 5000 employees In that there are 6 departments ie Accounts department maintenance-admin department HR department production department RampD department marketing department In maintenance- admin department there is 15 of total number of employees In that 40 are females Total number of persons working in RampD department is equal to total number of males working in maintenance department Male to female ratio of RampD is 45In production department 1500 persons are working there are males only In HR department the number of persons working is 15 of number of persons working in production department where 80 are females The number of people working in Accounts department is 60 of production department in that number of females are 550 The number of female in marketing department 500

115 Total number of males in RampD department is what percentage of total number of males in the marketing department A50 B 375 C 33 13 D1007

116 What is the percentage increasedecrease in total number of females in HR department to the total number of males in maintenance ndash admin department A5334 increase B5334 decrease C4666 increase D4666decrease

117 What is the difference between total number of males in marketing department to total number of females in the accounts department A75 B50 C60 D90

118 What is the ratio of total number of males in HR department to the total number of females in maintenance ndash admin department A15 B27 C35 D47 SET 32

According to A the census has been taken by the Government for literacy rate in two villages

A and B total population is 6 00000 In which the ratio between total numbers of males to

total number of females is 53 and the ratio of total population in village A to village B is 1713

The ratio of number of males in village A to number of males in village B is 78Total Ratio of

literate to illiterate (in men) 41 Out of total women only 35 are literates Total percentage

of adults is 80 ( m f = 53) in total population and in remaining 10 are children all other

peoples are senior citizens

119 What is the difference between literate people to total number of senior citizens

A378750 B78750 C270750 D221250

120 Total number of literate males in village A (if 45 of literate males are in Village A) is what percentage of total number of illiterate Females (Approximately) A97 B92 C89 D85

121 What is the ratio of males in village B to Adult females in the survey A54 B45 C910 D109

122 What is the increasedecrease in percentage of total number children to the

difference between the populations of village A to village B

A85 decrease B 85 increase C 95 increase D95 decrease

SET 33 Acity consists of 2400 employees working in different IT companies viz TCS Infosys Wipro Tech Mahindra and Oracle The ratio of male to female employees in the city is 5 3 respectively Twelve per cent of the males work in the TCS Company Twenty four per cent of the females work in the Oracle Company The ratio of males to females working in the TCS company is 6 11 respectively One-ninth of the females work in the Wipro Company Forty two percent of the males work in the Tech Mahindra Company Number of females working in the Tech Mahindra Company is ten percent of the males working in the same The remaining females work in the Infosys Company The total number of employees working in the Wipro Company is 285 Twenty two percent of the males work in the Infosys Company and the remaining work in the Oracle Company

123 The number of females working in the Tech Mahindra Company TCS Company and Infosys company together forms what percent of the total number of females in the City A6488 B5765 C 4896 D7527

124 The total number of females working in the TCS and Infosys Company together

forms what percent of the total number of employees in Tech Mahindra Company

A7018 B8047 C 7526 D7518

125 What is the difference between the number of males in Infosys Company and

number of females to the Oracle Company together to the number of males in Tech

Mahindra Company and number of females to the TCS Company together

A434 B427 C404 D414

126 The number of males working in the Wipro Company and the number of females

working in the Infosys Company together forms approximately what percent of the total

number of males in the City (Rounded off the nearest percentage)

A50 B25 C21 D18

SET 34

A School consisting of a total of 1560 students has boys and girls in the ratio of 7 5

respectively All the students are enrolled for different country tours viz Russia Switzerland

and Japan One-fifth of the boys are enrolled for only Switzerland tour Twenty percent of

the girls are enrolled for only Japan tour Ten percent of the boys are enrolled for only Russia

tour Twenty four percent of the girls are enrolled for both Russia and Switzerland tour

together The number of girls enrolled for only Russia tour is two hundred percent of the

boys enrolled in the same One-thirteenth of the boys are enrolled for all the three tour

together The respective ratio of boys enrolled for Switzerland and Japan tour together to

the girls enrolled for the same is 2 1 respectively Ten percent of the girls are enrolled for

only Switzerland tour whereas eight percent of the girls are enrolled for both Switzerland

and Japan tour together The remaining girls are enrolled for all the three tour together The

number of boys enrolled for Russia and Switzerland tour together is fifty percent of the

number of girls enrolled for the same The remaining boys are enrolled for only Japan tour

127 What is the respective ratio of the number of girls enrolled for only Japan tour and

number of boys enrolled for Switzerland tour together to the number of boys enrolled for

the Japan tour and number of girls enrolled for Switzerland tour together

A7752 B7552 C5275 D5277

128 Number of girls enrolled for only Switzerland Russia and Japantour together is what

percent of the boys together enrolled for the same (Rounded off to two digits after

decimal)

A3757 B5729 C6193 D5522

129 What is the total number of students enrolled for all the three tour and number of

girls enrolled for Switzerland and Russia tour together and number of boys enrolled for

Switzerland and Japan tour together

A395 B2415 C385 D390

130 What is the sum of the total number of boys who are enrolled for Switzerland and

the total number of girls who are enrolled for same tour together

A872 B752 C802 D772

SET 35

A radio station surveyed 200 students to determine the types of music they liked There are

three types of music rock music folk music and classical music The survey revealed that 57

percent liked rock music 25 percent liked folk music and 205 percent liked classical music 14

students liked rock music and folk music 15 students liked rock music and classical music 6

students liked only classical music and folk music 90 of them liked only rock music

131 How many of them liked folk music but not rock music

A36 B41 C30 D44

132 How many of them liked any two types of music only

A15 B16 C19 D25

133 How many students did not like any of the three types

A35 B40 C30 D25

134 What is the ratio of who liked rock and classical music together to the ratio of who

liked only folk music

A51 B3110 C316 D125

SET 36

In a shopping mall there are three different varieties of dress materials Cotton Silk and

Chiffon There are 300 customers visited the Shop 50 of customers purchased Cotton

material 40 of customers purchased Chiffon material and 60 of customers purchased Silk

material The customers who purchased any of two dress materials are 90 20 of

customers who purchased Cotton also purchased other two materials The customers who

purchased only Silk material are 20 more than that of who purchased only Chiffon material

30 Customers are purchased only Silk and Chiffon material

135 How many of them purchased only one variety of dress material

A150 B180 C120 D160

136 How many of them purchased at least two types of dress materials

A90 B100 C120 D140

137 What is the percentage of the customers who purchased only Silk material to that of

the customers who purchased all types of dress material

A30043 B30553 C35523 D23333

138 How many of them did not purchase any of the three types of materials

A10 B15 C5 D None

SET 37

In a sports event six teams (A B C D E and F) are competing against each other Matches

are scheduled in two stages Each team plays three matches in stage ndash I and two matches in

Stage ndash II No team plays against the same team more than once in the event No ties are

permitted in any of the matches The observations after the completion of Stage ndash I and

Stage ndash II are as given below

Stage-I

bull One team won all the three matches

bull Two teams lost all the matches

bull D lost to A but won against C and F

bull E lost to B but won against C and F

bull B lost at least one match

bull F did not play against the top team of Stage-I

Stage-II

bull The leader of Stage-I lost the next two matches

bull Of the two teams at the bottom after Stage-I one team won both matches while the

other lost both matches

bull One more team lost both matches in Stage-II

139 The two teams that defeated the leader of Stage-I are

A F amp D B E amp F C B amp D D E amp D

140 The only team(s) that won both matches in Stage-II is (are)

A B B E amp F C A E amp F D B E amp F

141 The teams that won exactly two matches in the event are

A A D amp F B D amp E C E amp F D D amp F

142 The team(s) with the most wins in the event is (are)

A A B A amp C C B amp E D E

SET 38

Two traders Chetan and Michael were involved in the buying and selling of MCS shares

over five trading days At the beginning of the first day the MCS share was priced at ₹100

while at the end of the fifth day it was priced at ₹110 At the end of each day the MCS share

price either went up by ₹10 or else it came down by ₹10 Both Chetan and Michael took

buying and selling decisions at the end of each trading day The beginning price of MCS share

on a given day was the same as the ending price of the previous day Chetan and Michael

started with the same number of shares and amount of cash and had enough of both

Below are some additional facts about how Chetan and Michael traded over the five trading

days

middot Each day if the price went up Chetan sold 10 shares of MCS at the closing price On the

other hand each day if the price went down he bought 10 shares at the closing price

middot If on any day the closing price was above ₹110 then Michael sold 10 shares of MCS

while if it was below ₹90 he bought 10 shares all at the closing price

143 If Chetan sold 10 shares of MCS on three consecutive days while Michael sold 10

shares only once during the five days what was the price of MCS at the end of day 3

A ₹ 90 B ₹100 C ₹110 D ₹120

144 If Chetan ended up with ₹1300 more cash than Michael at the end of day 5 what

was the price of MCS share at the end of day 4

A ₹90 B ₹100 C ₹110 D₹120

145 If Michael ended up with 20 more shares than Chetan at the end of day 5 what was

the price of the share at the end of day 3

A₹90 B ₹100 C ₹110 D ₹120

146 If Michael ended up with ₹100 less cash than Chetan at the end of day 5 what was

the difference in the number of shares possessed by Michael and Chetan (at the end of day

5)

A Michael had 10 less shares than Chetan

B Michael had 10 more shares than Chetan

C Chetan had 10 more shares than Michael

D Both had the same number of shares

SET 39

Bankatlal acted as a judge for the beauty contest There were four participants viz Ms

Andhra Pradesh Ms Uttar Pradesh Ms West Bengal and Ms Maharashtra Mrs Bankatlal

who was very anxious about the result asked him about it as soon as he was back home

Bankatlal just told that the one who was wearing the yellow saree won the contest When

Mrs Bankatlal pressed for further details he elaborated as follows

I All of them were sitting in a row

II All of them wore sarees of different colors viz Green Yellow White Red

III There was only one runner up and she was sitting beside Ms Maharashtra

IV The runner up was wearing the Green saree

V Ms West Bengal was not sitting at the ends and was not a runner up

VI The winner and the runner up are not sitting adjacent to each other

VII Ms Maharashtra was wearing white saree

VIII Ms Andhra Pradesh was not wearing the Green saree

IX Participants wearing Yellow saree and White saree were at the ends

147 Who wore the Red saree A Ms Andhra Pradesh B Ms West Bengal C Ms Uttar Pradesh D Ms Maharashtra

148 Ms West Bengal was sitting adjacent to A Ms Andhra Pradesh and Ms Maharashtra B Ms Uttar Pradesh and Ms Maharashta C Ms Andhra Pradesh and Ms Uttar Pradesh D Ms Uttar Pradesh only

149 Which saree was worn by Ms Andhra Pradesh A Yellow B Red C Green D White

150 Who was the runner up

A Ms Andhra Pradesh B Ms West Bengal

C Ms Uttar Pradesh D Ms Maharashta

SET 40

Ghosh Babu goes to a casino in Kay - Kay islands where he comes across an interesting game

of cards The visitor playing the game is called the player amp the clubman is called the dealer

The rules of the game are as follows First the player picks the card This card is called the

base card amp the number on the face of the card is called the base value of the card Ace

King Queen amp Jack all have base value of 10 The dealer pays the player same number of

rupees as the base value of the card Now the dealer picks a card amp This is called the top

card If topcard is of the same suite then the player pays the dealer double the amount of

base value If it is of the same colour but not the same suite then the player pays the dealer

the amount of a bse value If it is of different colour then the dealer pays the player the

amount of base value Ghosh Babu plays the game 4 times First time he draws 8 of club amp

the dealer draws jack of club Second time he draws 10 of hearts amp the dealer draws 2 of

spade Third time he draws 6 of diamond amp the dealer draws 1 of heart Finally Ghosh Babu

draws 8 of spade and the dealer draws ace of the spade

151 If Ghosh Babu should leave the game when his profit is maximum then what is that

profit

A 12 B 18 C 20 D None of these

152 If Ghosh Babu did not have to borrow any money from anyone then what is the

minimum amount that he could have started with

A 16 B 24 C 8 D None of these

153 If Ghosh Babu is left with 100 rupees now what is the amount that he had started

with

A 120 B 104 C 96 D None of these

SET 41

Twenty one participants from four continents (Africa Americas Australasia and Europe)

attended a United Nations conference Each participant was an expert in one of four fields

labour health population studies and refugee relocation The following five facts about the

participants are given

I The number of labour experts in the camp was exactly half the number of experts in each

of the three other categories

II Africa did not send any labour expert Otherwise every continent including Africa sent at

least one expert for each category

III None of the continents sent more than three experts in any category

IV If there had been one less Australasian expert then the America would have had twice

many experts as each of the other continents

V Mike and Alfanso are leading experts of population studies who attended the conference

They are from Australasia

154 Which of the following numbers cannot be determined from the information given

A Number of labour experts from the Americas

B Number of health experts from Europe

C Number of health experts from Australasia

D Number of experts in refugee relocation from Africa

155 Which of the following combinations is NOT possible

A 2 experts in population studies from the Americas and 2 health experts from Africa

attended the conference

B 2 experts in population studies from the Americas and 1 health expert from Africa

attended the conference

C 3 experts in refugee relocation from the Americas and 1 health expert from Africa

attended the conference

D Africa and America each had 1 expert in population studies attending the conference

156 If Ramos is the lone America expert in population studies which of the following is

NOT true about the numbers of experts in the conference from the four continents

A There is one expert in health from Africa

B There is one expert in refugee relocation from Africa

C There are two experts in health from the Americas

D There are three experts in refugee relocation from the Americas

157 Alex an American expert in refugee relocation was the first keynote speaker in the

conference What can be inferred about the number of American experts in refugee

relocation in the conference excluding Alex (i) At least one (ii) Atmost two

A Only (i) and not (ii) B Only (ii) and not (i)

C Both (i) and (ii) D Neither (i) nor (ii)

SET 42

Help Distress (HD) is an NGO involved in providing assistance to people suffering from

natural disasters Currently it has 37 volunteers They are involved in three projects

Tsunami Relief (TR) in Tamil Nadu Flood Relief (FR) in Maharashtra and Earthquake Relief

(ER) in Gujarat Each volunteer working with Help Distress has to be involved in at least one

relief work project

bull A Maximum number of volunteers are involved in the FR project Among them the

number of volunteers involved in FR project alone is equal to the volunteers having

additional involvement in the ER project

bull The number of volunteers involved in the ER project alone is double the number of

volunteers involved in all the three projects

bull 17 volunteers are involved in the TR project

bull The number of volunteers involved in the TR project alone is one less than the number of

volunteers involved in ER project alone

bull Ten volunteers involved in the TR project are also involved in at least one more project

158 Based on the information given above the minimum number of volunteers involved

in both FR and TR projects but not in the ER project is

A 1 B 3 C 4 D 5

159 Which of the following additional information would enable to find the exact

number of volunteers involved in various projects

A Twenty volunteers are involved in FR B Four volunteers are involved in all the three projects C Twenty three volunteers are involved in exactly one project D No need for any additional information

160 After some time the volunteers who were involved in all the three projects were

asked to withdraw from one project As a result one of the volunteers opted out of the TR

project and one opted out of the ER project while the remaining ones involved in all the

three projects opted out of the FR project Which of the following statements then

necessarily follows

A The lowest number of volunteers is now in TR project B More volunteers are now in FR project as compared to ER project C More volunteers are now in TR project as compared to ER project D None of the above

161 After the withdrawal of volunteers as indicated in Question 85 some new

volunteers joined the NGO Each one of them was allotted only one project in a manner such

that the number of volunteers working in one project alone for each of the three projects

became identical At that point it was also found that the number of volunteers involved in

FR and ER projects was the same as the number of volunteers involved in TR and ER projects

Which of the projects now has the highest number of volunteers

A ER B FR C TR D Cannot be determined

SET 43

Mathematicians are assigned a number called Erdoumls number (named after the famous

mathematician Paul Erdoumls) Only Paul Erdoumls himself has an Erdoumls number of zero Any

mathematician who has written a research paper with Erdoumls has an Erdoumls number of 1 For

other mathematicians the calculation of hisher Erdoumls number is illustrated below

Suppose that a mathematician X has co-authored papers with several other mathematicians

From among them mathematician Y has the smallest Erdoumls number Let the Erdoumls number

of Y be y Then X has an Erdoumls number of y + 1 Hence any mathematician with no co-

authorship chain connected to Erdoumls has an Erdoumls number of infinity In a seven day long

mini-conference organized in memory of Paul Erdoumls a close group of eight mathematicians

call them A B C D E F G and H discussed some research problems At the beginning of the

conference A was the only participant who had an infinite Erdoumls number Nobody had an

Erdoumls number less than that of F

bull On the third day of the conference F co-authored a paper jointly with A and C This

reduced the average Erdoumls number of the group of eight mathematicians to 3 The Erdoumls

numbers of B D E G and H remained unchanged with the writing of this paper Further no

other co-authorship among any three members would have reduced the average Erdoumls

number of the group of eight to as low as 3

bull At the end of the third day five members of this group had identical Erdoumls numbers while

the other three had Erdoumls numbers distinct from each other

bull On the fifth day E co-authored a paper with F which reduced the grouprsquos average Erdoumls

number by 05 The Erdoumls numbers of the remaining six were unchanged with the writing of

this paper

bull No other paper was written during the conference

162 The Erdoumls number of C at the end of the conference was

A 1 B 2 C 3 D 4

163 The Erdoumls number of E at the beginning of the conference was

A 5 B 6 C 7 D 8

164 How many participants had the same Erdoumls number at the beginning of the

conference

A 2 B 3 C 4 D 5

SET 44

K L M N P Q R S U and W are the only ten members in a department There is a proposal

to form a team from within the members of the department subject to the following

conditions

bull A team must include exactly one among P R and S

bull A team must include either M or Q but not both

bull If a team includes K then it must also include L and vice versa

bull If a team includes one among S U and W then it must also include the other two

bull L and N cannot be members of the same team

bull L and U cannot be members of the same team

The size of a team is defined as the number of members in the team

165 Who can be a member of a team of size 5

A K B L C M D P

166 Who cannot be a member of a team of size 3

A L B M C N D P

167 What could be the size of a team that includes K

A 2 or 3 B 2 or 4 C 3 or 4 D Only 4

168 In how many ways a team can be constituted so that the team includes N

A 2 B 3 C 4 D 6

SET 45

(i) There are three houses on each side of the road

(ii) These six houses are labeled as P Q R S T and U

(iii) The houses are of different colours namely Red Blue Green Orange Yellow and

White

(iv) The houses are of different heights

(v) T the tallest house is exactly opposite to the Red coloured house

(vi) The shortest house is exactly opposite to the Green coloured house

(vii) U the Orange coloured house is located between P and S

(viii) R the Yellow coloured house is exactly opposite to P

(ix) Q the Green coloured house is exactly opposite to U

(x) P the White coloured house is taller than R but shorter than S and Q

169 Which is the second tallest house

A P B S C Q D cannot be determined

170 What is the colour of the house diagonally opposite to the Yellow coloured house

A White B Blue C Green D Red

171 What is the colour of the tallest house

A Red B Blue C Green D Yellow

SET 46

A leading socialite decided to organise a dinner and invited a few of her friends Only the

host and the hostess were sitting at the opposite ends of a rectangular table with three

persons along each side The pre-requisite for the seating arrangement was that each person

must be seated such that atleast on one side it has a person of opposite sex Maqbool is

opposite Shobha who is not the hostess Ratan has a woman on his right and is sitting

opposite a woman Monisha is sitting to the hostessrsquos right next to Dhirubhai One person is

seated between Madhuri and Urmila who is not the hostess The men were Maqbool Ratan

Dhirubhai and Jackie while the women were Madhuri Urmila Shobha and Monisha

172 The eighth person present Jackie must be I the host II seated to Shobarsquos right III

seated opposite Urmila

A I only B III only C I and II only D II and III only

173 Which of the following persons is definitely not seated next to a person of the same

sex

A Maqbool B Madhuri C Jackie D Shobha

174 If Ratan would have exchanged seats with a person four places to his left which of

the following would have been true after the exchange

I No one was seated between two persons of the opposite sex (eg no man was seated

between two women)

II One side of the table consisted entirely of persons of the same sex

III Either the host or the hostess changed seats

A I only B II only C I and II only D II and III only

175 If each person is placed directly opposite his or her spouse which of the following

pairs must be married

A Ratan and Monisha B Madhuri and Dhirubhai

C Urmila and Jackie D Ratan and Madhuri

SET 47

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

Each of the four friends calculated their expected scores by independently using the answer keys released by each of the three coaching institutes to check whether they met the cut-off criteria How many of the four friends meet the cut-off criteria as expected by all the three institutes

18 After the result of AT was declared IMB called students who scored minimum 5 marks in each of the three sections and 15 marks overall for interviews How many of the four students were called for the interviews

19 Who out of the four students waswere called for the interview by IMB (Use information given in the previous question) A Only Amit B Only Bela C Only Chitra D Both Amit and Bela

20 Suppose we define reliability of a coaching institute as the number of questions in AT (out of 15) that had same answers in its answer key as the official answer key released by IMB which of the following coaching institute had highest value of reliability A Institute P B Institute Q C Institute R D Both institutes Q and R SET 6 In the Hindustan Premier League total five teams- Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters participated Each team played one match against every other team and no match ended in a draw Each match involved a number of gold coins (called lsquoAwardrsquo for the match) such that the team that lost the match gave the number of gold coins equal to the award for that match to the team that won the match The sum of the gold coins received by a team at the end of the tournament is called lsquoProfitrsquo of the team while the sum total of the gold coins gave by a team at the end of tournament is called lsquoLossrsquo of the team Further it is known that I No two teams won the same number of matches and no two teams lost the same number of matches II For any team the lsquoAwardrsquo for any two matches were different III The lsquoAwardrsquo for any match is neither less than 4 nor more than 21 IV The sum of the lsquoProfitrsquo and the lsquoLossrsquo of the team that won all the matches as well as the team that lost all the matches was between 20 and 40 (including both 20 and 40) V The sum of the lsquoProfitrsquo and the lsquoLossrsquo for the teams Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 55 37 40 55 and 53 respectively

VI The number of matches won by Hyderabad Volcanoes was equal to the number of matches lost by Jaipur Royals The number of matches lost by Kolkata Riders was more than the number of matches lost by Hyderabad Volcanoes VII Bangalore Masters won 17 gold coins against Jaipur Royals and the lsquoAwardrsquo involved in the match between Kolkata Riders and Hyderabad Volcanoes was 4 VIII The lsquoProfitrsquo of Jaipur Royals was equal to the lsquoLossrsquo of Hyderabad Volcanoes

21 How many matches did Jaipur Royals win (Write 5 if your answer is lsquoCannot be determinedrsquo)

22 How many matches did Chandigarh Kings lose (Write 5 if your answer is lsquoCannot be determinedrsquo)

23 What was the total lsquoProfitrsquo for Bangalore Masters (Write 56 if your answer is lsquoCannot be determinedrsquo)

24 Which team won three matches A Kolkata Riders B Chandigarh Kings C Hyderabad Volcanoes D Cannot be determined SET 7 The following table gives the information of the students in Class 7 Class 8 Class 9 and Class 10 in Vidyamandir Senior Secondary School Jaipur over the given period of 3 years

Each year a certain number of students either passed the exam failed the exam repeated the exam or did not appear for the exam Also the Number of students in any class C for any year Y = New admissions for that class + Number of students of class (C-1) who passed in the year (Y-1) + Number of students failing in class C in year (Y-1) + Number of students of class C who did not write the exam in year (Y-1) For instance Number of students in class 8 in year 2016 = New admissions for class 8 in 2016 + Number of students of class 7 who passed in the year 2015 + Number of students failing in class 8 in year 2015 + Number of students of class 8 who did not write the exam in year 2015 It is known that no person repeated the exam in the year 2015 Any student can proceed to next class only by passing the exam No student leaves the school in the year 2015 2016 and 2017 Pass percentage = Number of pass students Number of total students Further it is known

1 Number of students failed in class 7 in 2015 is same as Number of students failed in class 10 in 2016

2 85 of the total students passed in class 8 in 2016 3 Number of students failed in class 9 in 2015 is 25 less than that of class 7 in the same year 4 In class 7 in 2016 4 Students did not pass

25 What is the highest pass percentage in any class (among 7th 8th 9th and 10th) in any year

from 2015-2017 A 9333 B 9424 C 9535 D 96

26 How many new students got admission in year 2017 in class 9th A1 B2 C3 D None of these

27 How many total students did not write the exams in class 7th 8th 9th and 10th in the year 2016 A64 B58 C48 D44

28 What is the approximate pass percentage in 7th 8th 9th and 10th class combined in the year 2017 combined A85 B90 C95 D80 SET 8 ldquoExpression Publicationsrdquo publishes books in the categories of Computers Fiction Religion Humour Biography Crime Romance and 12 miscellaneous categories For the year 2007ndash2008 the sales volume of the 5 top ranked books which belong to the categories of Religion Humour Computers Romance and Biography were 5500 13000 18000 16000 and 7500 respectively and this contributed to 75 of the total sales volume The sales in the next fiscal year hiked spectacularly by 5625 with the books in the category of Humour contributing to 108 of the total sales volume in 2008ndash2009 The books in the categories of Computers Biography Fiction and Crime contributed 14 4 168 and 144 of the total sales volume in 2008ndash2009 The sales mentioned above are for the top five rated categories of books in the year 2008ndash2009 In 2007ndash2008 the sales of the miscellaneous categories was 15 of the total sales

29 If the increase in the sale of books in the category of Fiction in the year 2008ndash2009 is 400 with respect to previous year then what is the rank of the books in the category of Crime in the year 2007ndash2008 (considering that the sales of the number of books in the miscellaneous categories are equal) A6th B8th C7th D Cannot be determined

30 If the categories of books are ranked in the decreasing order of their sales in 2 years which of these books would rank 6th (the books in the miscellaneous category were not among the top seven for both the years) A Romance B Biography C Religion D Data insufficient

31 If the categories of books are ranked in the decreasing order of their sales in 2 years which of these books would rank 5th (the books in the miscellaneous category were not among the top seven for both the years) A Fiction B Crime C Romance D Cannot be determined

32 In the year 2007ndash2008 if the sale of category Fiction is ranked 6th then the total sale of the books on Crime in that year would be (Consider the total sale of number of books sold in each of the miscellaneous categories as equal)

A 4000 B More than 1000 but less than 4000 C Greater than 4000 D Cannot be determined SET 9 The total consumption of fertilisers in India in 1993ndash1994 was 52 lakh tonnes The total fertiliser market constitutes of 3 types of fertilisers viz nitrogen phosphate and potash In 1993ndash1994 nitrogen accounted for 65 of the total consumption while phosphate and potash were consumed in the ratio 2 1 The total consumption in 1995ndash1996 was 20 less than the total consumption for 1996ndash1997 while it was greater than the total for 1994ndash1995 by 10 The total consumption in 1994ndash1995 was 6 more than that in 1993ndash1994 The consumption of nitrogen fertiliser grew at a steady rate of 5 per annum over the previous years consumption The government has projected a 25 increase in total consumption in 1997ndash1998 over the 1996ndash1997 level The estimated production for 1997ndash1998 is 87 lakh tonnes

33 The individual consumption of nitrogen phosphate and potash fertiliser respectively in 1993ndash1994 (in lakh tonnes) were A31 14 7 B34 12 6 C28 16 8 D37 10 5

34 The total consumption of fertilisers in 1996ndash1997 was (in lakh tonnes) A6834 B7249 C8013 D7579

35 If the government was to import fertilisers to the extent of shortfall in production visndashandashvis the estimated consumption the total imports in 1997ndash1998 would amount to (in lakh tonnes) A984 B657 C777 D847

36 What percentage of the total consumption was attributed to nitrogen fertilisers in 1994ndash1995 A6439 B6573 C6017 D6247 SET 10 There are five friends A B C D and E The monthly salaries of A B C and D are Rs13000 Rs15000 Rs16000 and Rs20000 respectively The monthly salary of E is equal to the average salary of his other four friends The monthly savings of A is 10 of his monthly salary The monthly savings of B and C are equal and the same as 75 of the monthly savings of E D saves Rs1700 per month which is 85 of monthly savings of E

37 Find the monthly salary of E ARs13000 BRs12800 CRs32000 D None of these

38 How much does E save per month ARs1365 BRs2000 CRs1356 D None of these

39 What percent of his income does B save A10 B12 C95 D None of these

40 What is the average of the monthly savings of A B and C ARs1500 BRs1433 CRs2150 DRs2100 SET 11 A took a voluntary retirement on February 1st 2014 and received 10 lakhs as retirement benefits As on that day he also had Rs 3 lakhs in the bank Of the total amount he had 60 was invested in the bank which gives an annual compounded interest of 15 for three years Of the remaining part half was invested in shares which appreciated by 15 in the first year 6 in the second year and depreciated by 10 the next year The remaining part was invested in real estate The real estate values increased by 10 in the first year reduced by 10 in the next year and remained steady in the third year

41 What was the value (in rupees lakhs) of Arsquos investment on February 1st 2015 A 21 lakhs B 1482 lakhs C 1536 lakhs D 1597 lakhs

42 What was the approximate value (kin rupees lakhs) of his investment on 1st February 2017 A 1621 lakhs B 1682 lakhs C 17286 lakhs D 1787 lakhs

43 In which year did the investment show the maximum increase A First B Second C Third D Both (A) and (C) SET 12 A total of 1650 employees is working in a company in different departments The ratio of male employees to female employees in the organisation is 8679 There are total 5 departments in the company ie Product Development Sales and Marketing R amp D and Reinvestment Finance and HR Total 198 males work in Product Development department 18 employees work in Sales and Marketing department in which male to female ratio is 54 In Finance Department 77 males are working and the number of females in this department is 57th of the number of males The number of males in Sales and Marketing department is equal to the number of females in Product Development department The number of males in Finance department is half of the number of males in HR department Male to female ratio in R amp D and Reinvestment department is 1419

44 The number of males in R amp D and Reinvestment department is how much more than females in Product Development

45 Female in R amp D and Reinvestment department is what of the total number of females in the company (approximately)

46 The number of females in Finance department is what percent less than the number of females in Product Development department

SET 13 In a medical college there are 1600 students studying Dentistry and Homeopathy Each student from each course knows one or more languages out of English Hindi and Bengali 45 of the students study Dentistry and the remaining students study Homeopathy Out of the students studying Dentistry boys and girls are in the ratio 53 Out of the boys studying Dentistry 16 know only English 10 know only Hindi and 4 know only Bengali 24 know English as well as Hindi 20 know English as well as Bengali and 14 know Hindi as well as Bengali The remaining boys know all the three languages Out of the girls studying Dentistry 20 know only English 10 know only Hindi and 10 know only Bengali 20 know English as well as Hindi 20 know English as well as Bengali and 10 know Hindi as well as Bengali The remaining girls know all the three languages Out of the students studying Homeopathy boys and girls are in the ratio 47 Out of the boys studying Homeopathy 20 know only English 15 know only Hindi and 5 know only Bengali 15 know English as well as Hindi 25 know English as well as Bengali and 10 know Hindi as well as Bengali The remaining boys know all the three languages Out of the girls studying Homeopathy 15 know only English 15 know only Hindi and 5 know only Bengali 20 know English as well as Hindi 20 know English as well as Bengali and 15 know Hindi as well as Bengali The remaining girls know all the three languages

47 How many students studying Dentistry know only either English or Hindi A198 B117 C270 D156

48 How many students in the college know all the three languages A175 B170 C169 D270

49 What percent of the total number of girls in the college know Bengali A50 B55 C57 D60

50 How many students studying Homeopathy do not know English A198 B270 C288 D292 SET 14 A school has 400 students- boys and girls who are in the ratio of 35 The students speak Hindi English or both the languages 12 of the boys speak only Hindi 22 of the girls speak only English 24 of the total students speak only Hindi and the number of boys speaking both the languages is six times the number of boys speaking only Hindi

51 How many boys speak Hindi 52 How many girls speak only Hindi 53 How many students speak English 54 The number of girls speaking only Hindi is what percent of the total number of students

speaking only Hindi SET 15 People Power Corporation presently employs three Managers (A B and C) and five recruitment agents (D E F G and H) The company is planning to open a new office in San

Jose to manage placement of software professionals in the US It is planning to relocate two of the three managers and three of the five recruitment agents to the office at San Jose As it is an organization which is highly people oriented the management wants to ensure that the individuals who do not function well together should not be made as a part of the team going to the US The following information was available to the HR department of People Power Corporation Managers A and C are at each otherrsquos throat and therefore cannot be sent as a team to the new office C and E are excellent performers in their own right However they do not function together as a team They should be separated D and G have had a major misunderstanding during the last office picnic After the picnic these two have not been in speaking terms and should therefore not be sent as a team D and F are competing for a promotion that is due in another 3 months They should not be a team

55 If D goes to the new office which of the following is (are) true I C cannot go II A cannot go III H must also go A I only B II and III only C I and III only D I II and III

56 If A is to be moved as one of the Managers which of the following cannot be a possible working unit A ABDEH B ABFGH C ABEGH D ABDGH

57 If C and F are moved to the new office how many combinations are possible A 4 B 1 C 3 D 5

58 Given the group dynamics of the Managers and the recruitment agents which of the following is sure to find a berth in the San Jose office A B B H C G D E SET 16 Ghosh Babu took voluntary retirement in Dec 1991 and received a certain amount of money as retirement benefits On Jan 1 1992 he invested the entire amount in shares At the end of the month he sold all his shares and realised 25 profit On Feb 1 he reinvested the entire amount in shares which he sold at the end of the month at a loss of 20 Again he invested the entire amount on Mar 1 in a new company At the end of the month he sold the new company to a friend and realised a profit of 20 in the process He invested the entire amount in shares on Apr 1 which he sold at the end of the month for Rs 108000 incurring a loss of 10

59 What is the amount of retirement benefits received by Ghosh Babu A Rs 108000 B Rs 125000 C Rs 120000 D Rs 100000

60 The percentage profit received by Ghosh Babu between Jan 1 and Apr 30 is A 800 B 1500 C - 1000 D None of these

61 The amount of loss incurred by Ghosh Babu based on his operation in Apr 1992 is A Rs 25000 B Rs 12000 C Rs 20000 D Rs 8000

62 The maximum amount invested by Ghosh Babu in any one month was in A January B February C March D April SET 17 A school consisting of a total of 1560 students has boys and girls in the ratio of 7 5 respectively All the students are enrolled in different types of hobby classes viz Singing Dancing and Painting One-fifth of the boys are enrolled in only Dancing classes Twenty per cent of the girls are enrolled in only Painting classes Ten percent of the boys are enrolled in

only Singing classes Twenty-four per cent of the girls are enrolled in both Singing and Dancing classes together The number of girls enrolled in only Singing classes is two hundred per cent of the boys enrolled in the same One-thirteenth of the boys are enrolled in all the three classes together The respective ratio of boys enrolled in Dancing and Painting classes together to the girls enrolled in the same is 2 1 respectively Ten per cent of the girls are enrolled in only Dancing classes whereas eight per cent of the girls are enrolled in both Dancing and Painting classes together The remaining girls are enrolled in all the three classes together The number of boys enrolled in Singing and Dancing classes together is fifty per cent of the number of girls enrolled in the same The remaining boys are enrolled in only Painting classes

63 Total number of girls enrolled in Singing is approximately what per cent of the total number of students in the school A 37 B 19 C 32 D 26

64 What is the respective ratio of the number of girls enrolled in only Painting classes to the number of boys enrolled in the same A 77 26 B 21 73 C 26 77 D 73 21

65 Number of girls enrolled in only Dancing classes is what per cent of the boys enrolled in the same A 3867 B 3571 C 4183 D 2862

66 What is the total number of boys who are enrolled in Dancing A 318 B 364 C 292 D 434 SET 18 Not surprisingly the growth of the hotel industry is driven by the increase in the number of people using hotels and the increase in per person use of the hotel In 2004 it is expected that there will be 200 million hotel users in India or about 20 per cent of the population will generate Rs 50 billion in hotel revenues Industry revenues should expand from Rs 50 billion to Rs 150 billion by 2008 while the number of users should grow to over 560 million or to about half the population of India in the same period

67 What is the estimated population of India in 2004 A 98 crore B 100 crore C 110 crore D 115 crore

68 What will be the simple average growth rate of population of India in the given period 2004-2008 A 2

B 3 C 4 D 45

69 What will be the growth in percentage of users in India by 2008 A 100 B 150 C 180 D 200

70 What will be the percentage growth of the revenues of the hotel industry in the given period A 200 B 230 C 260 D 300 SET 19 Bihar and Orissa are the most deprived states of India While they contain one-fifth of Indiarsquos population they have almost one-third of Indiarsquos illiterates In 1998 only a small fraction of Orissa and Biharrsquos population was literate versus 85 per cent of Keralarsquos population More than two-thirds of the births are not attended by any medical facility 110th of the infants born in Orissa and Bihar die in infancy and an equal number before reaching the age of five Almost 90 per cent of the under five deaths are due to malnutrition From amongst the lucky kids who have survived for the first five years 13rd of them work as child labourers and only half of the remaining are sent to school Of those who attend classed only 40 per cent are able to reach Std V In India 30 per cent of the children under 16 work as labourers Orissa and Bihar contain 13rd of the child labourers in India India has the largest population of child labourers which is 115th of its total population In Orissa and Bihar out of 100 children enrolled in school 32 are girls And out of 100 who attend Std X only 10 are girls Only 38 out of 100 Indian women are literate versus 57 per cent of males Even in wealthy states such as Punjab girls suffer from malnutrition seven times more than boys do The total population of the country was 90 crore in 1998 and the ratio of male to female in India was 10 to 9

71 According to the information provided what percentage of the infants in Orissa and Bihar attend Std V A 1133 B 1066 C 1333 D 1233

72 The number of child labourers in India in 1998 are A 15 crore B 16 crore C 12 crore D 6 crore

73 The Orissa and Bihar out of 100 born approximately how many children work as child labourers A 27 B 32 C 13 D 38

74 What percentage of girl children enrolled in school reach Std X in Orissa and Bihar

A 10 B 32 C 60 D Insufficient data SET 20 AMS Inc is the leader in selling ideas universe wide but its maximum revenue comes from three principal planets only viz Earth Mars Jupiter Further it has three products viz CSP CC and CP In a particular year the number of units sold had a distribution as follows The number of units of CCs sold on Mars was 12 per cent of the number of units of CPs sold on Earth The number of units of CPs sold on Jupiter was 1000 Total number of CC units sold was 2600 Total number of CP units was 200 higher than that of the total number of units of CCs sold The number of units of CSP sold on Mars was 10 per cent of the number of units of CP sold on Jupiter The number of units of CSP sold on Earth was 2000 The number of units of CC sold on Earth was 15 per cent of the number of units CSP sold on Jupiter The prices of the units on the different planets were as follows Earth rarr Rs 15 per unit Mars rarr Rs 10 per unit Jupiter rarrRs 8 per unit The number of units of CSP sold on Jupiter was 300 The number of units of CP sold on Earth was 600

75 The number of units of CC sold on Jupiter is A 1520 B 2483 C 3423 D 600

76 The revenue generated on Earth is greater than that generated on Jupiter by about A Rs 8000 B Rs 9000 C Rs 10000 D None of these

77 The overall revenue generated is the highest from A CSPs B CP C CCs D Canrsquot be determined SET 21 An organization consists of 3500 employees working in different departments viz HR Marketing IT Production and Accounts The ratio of male to female employees in the organisation is 3 2 8 of the males work in the HR department 22 of the female work in the account department The ratio of males to females working in the HR department is 3 5 Oneseventh of the females work in the IT department 46 of the males work in the

Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

78 The number of males working in the Account department forms approximately what percent of the total number of males in the organisation A 6 B 8 C 10 D 11

79 How many females work in Production department A 140 B 200 C 180 D None

80 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A 28 B 32 C 29 D 31

81 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A 15 8 B 1 2 C 8 15 D 2 1

SET 22 A B and C started a business by investing Rs 800 Rs 1600 and Rs 2000 respectively After a quarter they invested amounts in a ratio 1 4 2 After another quarter they invested amounts in ratio 3 2 3In the last quarter the ratio of investments was same as in 2nd quarter Also in the last quarter the respective amounts of A B and C was double than the respective amounts invested in 2nd quarter The total investment of C before 4th quarter was Rs 1400 more than that of A during same duration Also ratio of Brsquos share in profit to total profit at the end of year was 66 153

82 Find the total investment of A B and C A Rs 10200 B Rs 11300 C Rs 9800 D Rs 10080

83 If they respectively had invested same amounts in each quarter after quarter 1 which is equal to their respective investments in quarter 1 then what would be the profit of A at the end of year out of a total profit of Rs 19350 A Rs 2510 B Rs 3320 C Rs 2560 D Rs 3150

84 If the respective investments in third quarter was changed and this was in ratio 2 4 1 (other investments being the same) then what would be the total investment of all three in third quarter if the average investment of all A B and C was Rs 3100 for whole year A Rs 500 B Rs 800 C Rs 700 D Rs 900 SET 23 The total population of village satana is 3550 out of which 36 people are below poverty line The total population of Satana is 11 frac14 less than the total population of amin while there are 29 people in amin who lives below poverty line In Nilokheri the people living below poverty line are 40 more than that in amin which is 40 of the total population of this village The average population of Gharaunda and Samalkha is equal to the average population of amin and Nilokheri while the difference between their population is 1800 (Village Samalkha is more populated) 47 of the population of Gharaunda are below poverty line Overall 46 of the population of all villagesrsquo together lives below poverty line

85 What percent of population of Samalkha lives above poverty line (Approximate) A 26 B 27 C 28 D 29

86 Find the approximate average no of people below poverty line in the given villages A 1610 B 1620 C 1615 D 1320

87 If 35 of the BPL population of Nilokheri are children while 30 of the overall population of this village are children Then what percent of population above poverty line are children A 25 B 30 C 26 13 D 26 23

88 What is the difference between total population of Nilokheri and that of Gharaunda A 300 B 200 C 250 D 400

SET 24

Gaurav a sweet seller bought some quantity of three types of sweets Rasgulla Rasmalai and Kalakand in ratio of 6 10 9 Kalakand costed him a total of Rs 18900 at rate of 420 per kg By selling Kalakand at a discount of 5 he earned a profit of 13 221 On Rasmalai (which was marked Rs 500 per kg) he earned Rs 5 less profit per kg as compared to that on Kalakand by selling Rasmalai at 10 discount Gaurav spent a total of Rs 46400 on buying these sweets while he earned a total profit of Rs 5875 on selling all bought sweets Rasgullas were marked 40 above cost price per kg

89 What is the difference between the number of Accord cars sold by dealers D and E together

and the number of City cars sold by dealers B and F together A 3658 B 3712 C 4205 D 3252

90 If Gaurav gave an extra discount of 20 on Kalakand then his gain or loss was

A 9 11

21 profit B 8

11

21 loss C 10

11

23 loss D 9

11

21 loss

91 Find the total quantity of sweets bought by Gaurav A 135 kg B 126 kg C 125 kg D 120 kg

92 If 10kg of Rasmalai was wasted away due to some reason Find profit or loss by selling the remaining Rasmalai as per given condition A 10 loss B 10 gain C 12 loss D 15 loss SET 25 An organization consists of 3500 employees working in different departments viz HR Marketing IT Production and Accounts The ratio of male to female employees in the organisation is 3 2 8 of the males work in the HR department 22 of the female work in the account department The ratio of males to females working in the HR department is 3 5 One-seventh of the females work in the IT department 46 of the males work in the Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

93 The number of males working in the Account department forms approximately what per cent of the total number of males in the organisation A 6 B8 C10 D11

94 How many females work in Production department A 140 B200 C180 DNone of these

95 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A28 B30 C29 D31

96 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A158 B12 C815 D21 SET 26

In the recently held Commonwealth Games a total number of 500 players participated in five different games viz Athletics Hockey Lawn Tennis Rugby and Badminton 15 of the total players participated in Badminton 25 of the total players participated in Hockey 6 of the total players participated in Lawn Tennis and 25 of the total players participated in Athletics The remaining players participated in Rugby One-fourth of the Hockey players are females 20 of the Badminton players are males Half of the players who participated in Lawn Tennis are males There are 55 female athletes No female player participated in Rugby

97 The number of female players who participated in Badminton is approximately what per cent of the total number of players who participated in Rugby A82 B80 C86 D76

98 What is the difference between the number of male players who participated in Hockey and the number of female players who participated in Lawn Tennis A125 B145 C130 D135

99 If due to certain reason Athletics was dropped and all the athletes left the tournament then what was the percentage of male players among the total players remaining in the tournament A4566 B4033 C3533 DNone of these

100 What is the ratio of the total number of male players participating in Badminton to the total number of female players participating in Hockey A353 B310 C510 D325 SET 27 The premises of an institute are to be renovated Only the floor is to be renovated either with marble or with wood All rooms halls and pantry are rectangular The area to be renovated comprises a hall measuring 33m by 39m The directorrsquos room measures 13m by 12m and the pantry measures 14m by 12m A record keeping-cum-server room measures 23m by 13m and the accounts room measures 12m by 23m The total area of the institute is 2500 square metres The cost of wooden flooring is Rs 170 per square metre and the cost of marble flooring is Rs 190 per square metre The accounts room the record keeping-cum-server room and the pantry are to be floored with marble The directorrsquos room and the hall are to be floored with wood

101 What is the ratio of the total cost of wooden flooring to the total cost of marble flooring A 1443 735 B 8177 4655 C 1443 4655 D 24531 14117

102 If four walls and ceiling of the room (the height of the room is 15 metres) are to be painted at the cost of Rs 190 per square metre how much will be the total cost of renovation of the directorrsquos room including the cost of flooring A 198660 B 178680 C 198880 D 22876

103 If the remaining area of the institute is to be carpeted at the rate of Rs 210 per square metre by how much will the cost of renovation of institute premises increase A 75000 B72840 C65940 D 75940

104 What is the percentage area of the institute that is not to be renovated A1644 B1356 C1455 D1256

SET 28 A total of 1650 students are studying in an engineering college in different departments The ratio of male students to female students in the college is 8679 The college had a total of 5 departments which are mechanical civil electrical Biotechnology and computer science Total 198 males study in the mechanical department 18 students study in the civil department in which male to female ratio is 54 In the biotechnology department 77 male students are studying and the number of female students in this department is 57th of the number of males The total number of male students in the civil department is equal to the number of female students in the mechanical department The number of males in biotechnology department is half of the number of total male students in computer science department In the electrical department the male to female ratio is 1419

105 The number of male students in electrical department is how much more than female students in mechanical

106 Female students in electrical department is what of the total number of females in the college (approximately) SET 29 During the period 1990-91 to 1994-95 the unit sales of Motorcycles witnessed a simple average growth rate of 45 and the unit price experienced a simple average growth rate of 41 In the year 1990-91 amp 1992-93 the selling price of motorcycle was Rs 50000 The unit selling price rose by Rs 2500 each in the years 1991-92 and 1994-95 Between 1990-91 and 1992-93 unit sales increased by 155 In 1992-93 approx 2888 units and in 1993-94 3000 units were sold In 1991-92 the sales increased by Rs 1281 crore and number of units sold increased by 125

107 The rupee sales of the motorcycles in 1990-91 is A Rs 180crore B Rs 125crore C Rs 135crore D Rs 100crore

108 How many motorcycles were sold in 1991-92 A 2500 B 2625 C 3050 D 4000

109 How many motorcycles were sold during the period 1990-91 to 1994-95 A 15025 B 14005 C 14076 D 15000

110 What is the selling price of a motorcycle in 1993-94 A Rs 50000 B Rs 52500 C Rs 57750 D Rs 60000

SET 30 Mlon huskthe space Y inventor took his team of scientist to newly found planetrdquoEuro Chandrdquo The team agreed on the condition that they will not do any research during their visit but will only do rest But Husk as per his nature observed various phenomenon on new planet including the gravitational pull He observed that a kg on earth is equivalent to 12 kg on Euro chand except kg on new planet is called Euroc Slen weighs 552 Euroc weighs heavier than all except Plen who weighs 108 Euroc more Olen the lightest weighs 252 Euroc less than Dlen Jlen weighs 48 Euroc less than Slen and 48 Euroc more than Dlen

111 What is the weight of Plen (in Kg) A55 B46 C17 D48

112 What is the weight of Olen (in Euronc ) A505 B246 C218 D204

113 Approximately how many times is the weight of Plen that of Dlen A145 B107 C218 D214

114 Weight of Dlen is what moreless than weight of Jlen

A111 B108 C95 D121 SET 31 In a MNC there are 5000 employees In that there are 6 departments ie Accounts department maintenance-admin department HR department production department RampD department marketing department In maintenance- admin department there is 15 of total number of employees In that 40 are females Total number of persons working in RampD department is equal to total number of males working in maintenance department Male to female ratio of RampD is 45In production department 1500 persons are working there are males only In HR department the number of persons working is 15 of number of persons working in production department where 80 are females The number of people working in Accounts department is 60 of production department in that number of females are 550 The number of female in marketing department 500

115 Total number of males in RampD department is what percentage of total number of males in the marketing department A50 B 375 C 33 13 D1007

116 What is the percentage increasedecrease in total number of females in HR department to the total number of males in maintenance ndash admin department A5334 increase B5334 decrease C4666 increase D4666decrease

117 What is the difference between total number of males in marketing department to total number of females in the accounts department A75 B50 C60 D90

118 What is the ratio of total number of males in HR department to the total number of females in maintenance ndash admin department A15 B27 C35 D47 SET 32

According to A the census has been taken by the Government for literacy rate in two villages

A and B total population is 6 00000 In which the ratio between total numbers of males to

total number of females is 53 and the ratio of total population in village A to village B is 1713

The ratio of number of males in village A to number of males in village B is 78Total Ratio of

literate to illiterate (in men) 41 Out of total women only 35 are literates Total percentage

of adults is 80 ( m f = 53) in total population and in remaining 10 are children all other

peoples are senior citizens

119 What is the difference between literate people to total number of senior citizens

A378750 B78750 C270750 D221250

120 Total number of literate males in village A (if 45 of literate males are in Village A) is what percentage of total number of illiterate Females (Approximately) A97 B92 C89 D85

121 What is the ratio of males in village B to Adult females in the survey A54 B45 C910 D109

122 What is the increasedecrease in percentage of total number children to the

difference between the populations of village A to village B

A85 decrease B 85 increase C 95 increase D95 decrease

SET 33 Acity consists of 2400 employees working in different IT companies viz TCS Infosys Wipro Tech Mahindra and Oracle The ratio of male to female employees in the city is 5 3 respectively Twelve per cent of the males work in the TCS Company Twenty four per cent of the females work in the Oracle Company The ratio of males to females working in the TCS company is 6 11 respectively One-ninth of the females work in the Wipro Company Forty two percent of the males work in the Tech Mahindra Company Number of females working in the Tech Mahindra Company is ten percent of the males working in the same The remaining females work in the Infosys Company The total number of employees working in the Wipro Company is 285 Twenty two percent of the males work in the Infosys Company and the remaining work in the Oracle Company

123 The number of females working in the Tech Mahindra Company TCS Company and Infosys company together forms what percent of the total number of females in the City A6488 B5765 C 4896 D7527

124 The total number of females working in the TCS and Infosys Company together

forms what percent of the total number of employees in Tech Mahindra Company

A7018 B8047 C 7526 D7518

125 What is the difference between the number of males in Infosys Company and

number of females to the Oracle Company together to the number of males in Tech

Mahindra Company and number of females to the TCS Company together

A434 B427 C404 D414

126 The number of males working in the Wipro Company and the number of females

working in the Infosys Company together forms approximately what percent of the total

number of males in the City (Rounded off the nearest percentage)

A50 B25 C21 D18

SET 34

A School consisting of a total of 1560 students has boys and girls in the ratio of 7 5

respectively All the students are enrolled for different country tours viz Russia Switzerland

and Japan One-fifth of the boys are enrolled for only Switzerland tour Twenty percent of

the girls are enrolled for only Japan tour Ten percent of the boys are enrolled for only Russia

tour Twenty four percent of the girls are enrolled for both Russia and Switzerland tour

together The number of girls enrolled for only Russia tour is two hundred percent of the

boys enrolled in the same One-thirteenth of the boys are enrolled for all the three tour

together The respective ratio of boys enrolled for Switzerland and Japan tour together to

the girls enrolled for the same is 2 1 respectively Ten percent of the girls are enrolled for

only Switzerland tour whereas eight percent of the girls are enrolled for both Switzerland

and Japan tour together The remaining girls are enrolled for all the three tour together The

number of boys enrolled for Russia and Switzerland tour together is fifty percent of the

number of girls enrolled for the same The remaining boys are enrolled for only Japan tour

127 What is the respective ratio of the number of girls enrolled for only Japan tour and

number of boys enrolled for Switzerland tour together to the number of boys enrolled for

the Japan tour and number of girls enrolled for Switzerland tour together

A7752 B7552 C5275 D5277

128 Number of girls enrolled for only Switzerland Russia and Japantour together is what

percent of the boys together enrolled for the same (Rounded off to two digits after

decimal)

A3757 B5729 C6193 D5522

129 What is the total number of students enrolled for all the three tour and number of

girls enrolled for Switzerland and Russia tour together and number of boys enrolled for

Switzerland and Japan tour together

A395 B2415 C385 D390

130 What is the sum of the total number of boys who are enrolled for Switzerland and

the total number of girls who are enrolled for same tour together

A872 B752 C802 D772

SET 35

A radio station surveyed 200 students to determine the types of music they liked There are

three types of music rock music folk music and classical music The survey revealed that 57

percent liked rock music 25 percent liked folk music and 205 percent liked classical music 14

students liked rock music and folk music 15 students liked rock music and classical music 6

students liked only classical music and folk music 90 of them liked only rock music

131 How many of them liked folk music but not rock music

A36 B41 C30 D44

132 How many of them liked any two types of music only

A15 B16 C19 D25

133 How many students did not like any of the three types

A35 B40 C30 D25

134 What is the ratio of who liked rock and classical music together to the ratio of who

liked only folk music

A51 B3110 C316 D125

SET 36

In a shopping mall there are three different varieties of dress materials Cotton Silk and

Chiffon There are 300 customers visited the Shop 50 of customers purchased Cotton

material 40 of customers purchased Chiffon material and 60 of customers purchased Silk

material The customers who purchased any of two dress materials are 90 20 of

customers who purchased Cotton also purchased other two materials The customers who

purchased only Silk material are 20 more than that of who purchased only Chiffon material

30 Customers are purchased only Silk and Chiffon material

135 How many of them purchased only one variety of dress material

A150 B180 C120 D160

136 How many of them purchased at least two types of dress materials

A90 B100 C120 D140

137 What is the percentage of the customers who purchased only Silk material to that of

the customers who purchased all types of dress material

A30043 B30553 C35523 D23333

138 How many of them did not purchase any of the three types of materials

A10 B15 C5 D None

SET 37

In a sports event six teams (A B C D E and F) are competing against each other Matches

are scheduled in two stages Each team plays three matches in stage ndash I and two matches in

Stage ndash II No team plays against the same team more than once in the event No ties are

permitted in any of the matches The observations after the completion of Stage ndash I and

Stage ndash II are as given below

Stage-I

bull One team won all the three matches

bull Two teams lost all the matches

bull D lost to A but won against C and F

bull E lost to B but won against C and F

bull B lost at least one match

bull F did not play against the top team of Stage-I

Stage-II

bull The leader of Stage-I lost the next two matches

bull Of the two teams at the bottom after Stage-I one team won both matches while the

other lost both matches

bull One more team lost both matches in Stage-II

139 The two teams that defeated the leader of Stage-I are

A F amp D B E amp F C B amp D D E amp D

140 The only team(s) that won both matches in Stage-II is (are)

A B B E amp F C A E amp F D B E amp F

141 The teams that won exactly two matches in the event are

A A D amp F B D amp E C E amp F D D amp F

142 The team(s) with the most wins in the event is (are)

A A B A amp C C B amp E D E

SET 38

Two traders Chetan and Michael were involved in the buying and selling of MCS shares

over five trading days At the beginning of the first day the MCS share was priced at ₹100

while at the end of the fifth day it was priced at ₹110 At the end of each day the MCS share

price either went up by ₹10 or else it came down by ₹10 Both Chetan and Michael took

buying and selling decisions at the end of each trading day The beginning price of MCS share

on a given day was the same as the ending price of the previous day Chetan and Michael

started with the same number of shares and amount of cash and had enough of both

Below are some additional facts about how Chetan and Michael traded over the five trading

days

middot Each day if the price went up Chetan sold 10 shares of MCS at the closing price On the

other hand each day if the price went down he bought 10 shares at the closing price

middot If on any day the closing price was above ₹110 then Michael sold 10 shares of MCS

while if it was below ₹90 he bought 10 shares all at the closing price

143 If Chetan sold 10 shares of MCS on three consecutive days while Michael sold 10

shares only once during the five days what was the price of MCS at the end of day 3

A ₹ 90 B ₹100 C ₹110 D ₹120

144 If Chetan ended up with ₹1300 more cash than Michael at the end of day 5 what

was the price of MCS share at the end of day 4

A ₹90 B ₹100 C ₹110 D₹120

145 If Michael ended up with 20 more shares than Chetan at the end of day 5 what was

the price of the share at the end of day 3

A₹90 B ₹100 C ₹110 D ₹120

146 If Michael ended up with ₹100 less cash than Chetan at the end of day 5 what was

the difference in the number of shares possessed by Michael and Chetan (at the end of day

5)

A Michael had 10 less shares than Chetan

B Michael had 10 more shares than Chetan

C Chetan had 10 more shares than Michael

D Both had the same number of shares

SET 39

Bankatlal acted as a judge for the beauty contest There were four participants viz Ms

Andhra Pradesh Ms Uttar Pradesh Ms West Bengal and Ms Maharashtra Mrs Bankatlal

who was very anxious about the result asked him about it as soon as he was back home

Bankatlal just told that the one who was wearing the yellow saree won the contest When

Mrs Bankatlal pressed for further details he elaborated as follows

I All of them were sitting in a row

II All of them wore sarees of different colors viz Green Yellow White Red

III There was only one runner up and she was sitting beside Ms Maharashtra

IV The runner up was wearing the Green saree

V Ms West Bengal was not sitting at the ends and was not a runner up

VI The winner and the runner up are not sitting adjacent to each other

VII Ms Maharashtra was wearing white saree

VIII Ms Andhra Pradesh was not wearing the Green saree

IX Participants wearing Yellow saree and White saree were at the ends

147 Who wore the Red saree A Ms Andhra Pradesh B Ms West Bengal C Ms Uttar Pradesh D Ms Maharashtra

148 Ms West Bengal was sitting adjacent to A Ms Andhra Pradesh and Ms Maharashtra B Ms Uttar Pradesh and Ms Maharashta C Ms Andhra Pradesh and Ms Uttar Pradesh D Ms Uttar Pradesh only

149 Which saree was worn by Ms Andhra Pradesh A Yellow B Red C Green D White

150 Who was the runner up

A Ms Andhra Pradesh B Ms West Bengal

C Ms Uttar Pradesh D Ms Maharashta

SET 40

Ghosh Babu goes to a casino in Kay - Kay islands where he comes across an interesting game

of cards The visitor playing the game is called the player amp the clubman is called the dealer

The rules of the game are as follows First the player picks the card This card is called the

base card amp the number on the face of the card is called the base value of the card Ace

King Queen amp Jack all have base value of 10 The dealer pays the player same number of

rupees as the base value of the card Now the dealer picks a card amp This is called the top

card If topcard is of the same suite then the player pays the dealer double the amount of

base value If it is of the same colour but not the same suite then the player pays the dealer

the amount of a bse value If it is of different colour then the dealer pays the player the

amount of base value Ghosh Babu plays the game 4 times First time he draws 8 of club amp

the dealer draws jack of club Second time he draws 10 of hearts amp the dealer draws 2 of

spade Third time he draws 6 of diamond amp the dealer draws 1 of heart Finally Ghosh Babu

draws 8 of spade and the dealer draws ace of the spade

151 If Ghosh Babu should leave the game when his profit is maximum then what is that

profit

A 12 B 18 C 20 D None of these

152 If Ghosh Babu did not have to borrow any money from anyone then what is the

minimum amount that he could have started with

A 16 B 24 C 8 D None of these

153 If Ghosh Babu is left with 100 rupees now what is the amount that he had started

with

A 120 B 104 C 96 D None of these

SET 41

Twenty one participants from four continents (Africa Americas Australasia and Europe)

attended a United Nations conference Each participant was an expert in one of four fields

labour health population studies and refugee relocation The following five facts about the

participants are given

I The number of labour experts in the camp was exactly half the number of experts in each

of the three other categories

II Africa did not send any labour expert Otherwise every continent including Africa sent at

least one expert for each category

III None of the continents sent more than three experts in any category

IV If there had been one less Australasian expert then the America would have had twice

many experts as each of the other continents

V Mike and Alfanso are leading experts of population studies who attended the conference

They are from Australasia

154 Which of the following numbers cannot be determined from the information given

A Number of labour experts from the Americas

B Number of health experts from Europe

C Number of health experts from Australasia

D Number of experts in refugee relocation from Africa

155 Which of the following combinations is NOT possible

A 2 experts in population studies from the Americas and 2 health experts from Africa

attended the conference

B 2 experts in population studies from the Americas and 1 health expert from Africa

attended the conference

C 3 experts in refugee relocation from the Americas and 1 health expert from Africa

attended the conference

D Africa and America each had 1 expert in population studies attending the conference

156 If Ramos is the lone America expert in population studies which of the following is

NOT true about the numbers of experts in the conference from the four continents

A There is one expert in health from Africa

B There is one expert in refugee relocation from Africa

C There are two experts in health from the Americas

D There are three experts in refugee relocation from the Americas

157 Alex an American expert in refugee relocation was the first keynote speaker in the

conference What can be inferred about the number of American experts in refugee

relocation in the conference excluding Alex (i) At least one (ii) Atmost two

A Only (i) and not (ii) B Only (ii) and not (i)

C Both (i) and (ii) D Neither (i) nor (ii)

SET 42

Help Distress (HD) is an NGO involved in providing assistance to people suffering from

natural disasters Currently it has 37 volunteers They are involved in three projects

Tsunami Relief (TR) in Tamil Nadu Flood Relief (FR) in Maharashtra and Earthquake Relief

(ER) in Gujarat Each volunteer working with Help Distress has to be involved in at least one

relief work project

bull A Maximum number of volunteers are involved in the FR project Among them the

number of volunteers involved in FR project alone is equal to the volunteers having

additional involvement in the ER project

bull The number of volunteers involved in the ER project alone is double the number of

volunteers involved in all the three projects

bull 17 volunteers are involved in the TR project

bull The number of volunteers involved in the TR project alone is one less than the number of

volunteers involved in ER project alone

bull Ten volunteers involved in the TR project are also involved in at least one more project

158 Based on the information given above the minimum number of volunteers involved

in both FR and TR projects but not in the ER project is

A 1 B 3 C 4 D 5

159 Which of the following additional information would enable to find the exact

number of volunteers involved in various projects

A Twenty volunteers are involved in FR B Four volunteers are involved in all the three projects C Twenty three volunteers are involved in exactly one project D No need for any additional information

160 After some time the volunteers who were involved in all the three projects were

asked to withdraw from one project As a result one of the volunteers opted out of the TR

project and one opted out of the ER project while the remaining ones involved in all the

three projects opted out of the FR project Which of the following statements then

necessarily follows

A The lowest number of volunteers is now in TR project B More volunteers are now in FR project as compared to ER project C More volunteers are now in TR project as compared to ER project D None of the above

161 After the withdrawal of volunteers as indicated in Question 85 some new

volunteers joined the NGO Each one of them was allotted only one project in a manner such

that the number of volunteers working in one project alone for each of the three projects

became identical At that point it was also found that the number of volunteers involved in

FR and ER projects was the same as the number of volunteers involved in TR and ER projects

Which of the projects now has the highest number of volunteers

A ER B FR C TR D Cannot be determined

SET 43

Mathematicians are assigned a number called Erdoumls number (named after the famous

mathematician Paul Erdoumls) Only Paul Erdoumls himself has an Erdoumls number of zero Any

mathematician who has written a research paper with Erdoumls has an Erdoumls number of 1 For

other mathematicians the calculation of hisher Erdoumls number is illustrated below

Suppose that a mathematician X has co-authored papers with several other mathematicians

From among them mathematician Y has the smallest Erdoumls number Let the Erdoumls number

of Y be y Then X has an Erdoumls number of y + 1 Hence any mathematician with no co-

authorship chain connected to Erdoumls has an Erdoumls number of infinity In a seven day long

mini-conference organized in memory of Paul Erdoumls a close group of eight mathematicians

call them A B C D E F G and H discussed some research problems At the beginning of the

conference A was the only participant who had an infinite Erdoumls number Nobody had an

Erdoumls number less than that of F

bull On the third day of the conference F co-authored a paper jointly with A and C This

reduced the average Erdoumls number of the group of eight mathematicians to 3 The Erdoumls

numbers of B D E G and H remained unchanged with the writing of this paper Further no

other co-authorship among any three members would have reduced the average Erdoumls

number of the group of eight to as low as 3

bull At the end of the third day five members of this group had identical Erdoumls numbers while

the other three had Erdoumls numbers distinct from each other

bull On the fifth day E co-authored a paper with F which reduced the grouprsquos average Erdoumls

number by 05 The Erdoumls numbers of the remaining six were unchanged with the writing of

this paper

bull No other paper was written during the conference

162 The Erdoumls number of C at the end of the conference was

A 1 B 2 C 3 D 4

163 The Erdoumls number of E at the beginning of the conference was

A 5 B 6 C 7 D 8

164 How many participants had the same Erdoumls number at the beginning of the

conference

A 2 B 3 C 4 D 5

SET 44

K L M N P Q R S U and W are the only ten members in a department There is a proposal

to form a team from within the members of the department subject to the following

conditions

bull A team must include exactly one among P R and S

bull A team must include either M or Q but not both

bull If a team includes K then it must also include L and vice versa

bull If a team includes one among S U and W then it must also include the other two

bull L and N cannot be members of the same team

bull L and U cannot be members of the same team

The size of a team is defined as the number of members in the team

165 Who can be a member of a team of size 5

A K B L C M D P

166 Who cannot be a member of a team of size 3

A L B M C N D P

167 What could be the size of a team that includes K

A 2 or 3 B 2 or 4 C 3 or 4 D Only 4

168 In how many ways a team can be constituted so that the team includes N

A 2 B 3 C 4 D 6

SET 45

(i) There are three houses on each side of the road

(ii) These six houses are labeled as P Q R S T and U

(iii) The houses are of different colours namely Red Blue Green Orange Yellow and

White

(iv) The houses are of different heights

(v) T the tallest house is exactly opposite to the Red coloured house

(vi) The shortest house is exactly opposite to the Green coloured house

(vii) U the Orange coloured house is located between P and S

(viii) R the Yellow coloured house is exactly opposite to P

(ix) Q the Green coloured house is exactly opposite to U

(x) P the White coloured house is taller than R but shorter than S and Q

169 Which is the second tallest house

A P B S C Q D cannot be determined

170 What is the colour of the house diagonally opposite to the Yellow coloured house

A White B Blue C Green D Red

171 What is the colour of the tallest house

A Red B Blue C Green D Yellow

SET 46

A leading socialite decided to organise a dinner and invited a few of her friends Only the

host and the hostess were sitting at the opposite ends of a rectangular table with three

persons along each side The pre-requisite for the seating arrangement was that each person

must be seated such that atleast on one side it has a person of opposite sex Maqbool is

opposite Shobha who is not the hostess Ratan has a woman on his right and is sitting

opposite a woman Monisha is sitting to the hostessrsquos right next to Dhirubhai One person is

seated between Madhuri and Urmila who is not the hostess The men were Maqbool Ratan

Dhirubhai and Jackie while the women were Madhuri Urmila Shobha and Monisha

172 The eighth person present Jackie must be I the host II seated to Shobarsquos right III

seated opposite Urmila

A I only B III only C I and II only D II and III only

173 Which of the following persons is definitely not seated next to a person of the same

sex

A Maqbool B Madhuri C Jackie D Shobha

174 If Ratan would have exchanged seats with a person four places to his left which of

the following would have been true after the exchange

I No one was seated between two persons of the opposite sex (eg no man was seated

between two women)

II One side of the table consisted entirely of persons of the same sex

III Either the host or the hostess changed seats

A I only B II only C I and II only D II and III only

175 If each person is placed directly opposite his or her spouse which of the following

pairs must be married

A Ratan and Monisha B Madhuri and Dhirubhai

C Urmila and Jackie D Ratan and Madhuri

SET 47

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

VI The number of matches won by Hyderabad Volcanoes was equal to the number of matches lost by Jaipur Royals The number of matches lost by Kolkata Riders was more than the number of matches lost by Hyderabad Volcanoes VII Bangalore Masters won 17 gold coins against Jaipur Royals and the lsquoAwardrsquo involved in the match between Kolkata Riders and Hyderabad Volcanoes was 4 VIII The lsquoProfitrsquo of Jaipur Royals was equal to the lsquoLossrsquo of Hyderabad Volcanoes

21 How many matches did Jaipur Royals win (Write 5 if your answer is lsquoCannot be determinedrsquo)

22 How many matches did Chandigarh Kings lose (Write 5 if your answer is lsquoCannot be determinedrsquo)

23 What was the total lsquoProfitrsquo for Bangalore Masters (Write 56 if your answer is lsquoCannot be determinedrsquo)

24 Which team won three matches A Kolkata Riders B Chandigarh Kings C Hyderabad Volcanoes D Cannot be determined SET 7 The following table gives the information of the students in Class 7 Class 8 Class 9 and Class 10 in Vidyamandir Senior Secondary School Jaipur over the given period of 3 years

Each year a certain number of students either passed the exam failed the exam repeated the exam or did not appear for the exam Also the Number of students in any class C for any year Y = New admissions for that class + Number of students of class (C-1) who passed in the year (Y-1) + Number of students failing in class C in year (Y-1) + Number of students of class C who did not write the exam in year (Y-1) For instance Number of students in class 8 in year 2016 = New admissions for class 8 in 2016 + Number of students of class 7 who passed in the year 2015 + Number of students failing in class 8 in year 2015 + Number of students of class 8 who did not write the exam in year 2015 It is known that no person repeated the exam in the year 2015 Any student can proceed to next class only by passing the exam No student leaves the school in the year 2015 2016 and 2017 Pass percentage = Number of pass students Number of total students Further it is known

1 Number of students failed in class 7 in 2015 is same as Number of students failed in class 10 in 2016

2 85 of the total students passed in class 8 in 2016 3 Number of students failed in class 9 in 2015 is 25 less than that of class 7 in the same year 4 In class 7 in 2016 4 Students did not pass

25 What is the highest pass percentage in any class (among 7th 8th 9th and 10th) in any year

from 2015-2017 A 9333 B 9424 C 9535 D 96

26 How many new students got admission in year 2017 in class 9th A1 B2 C3 D None of these

27 How many total students did not write the exams in class 7th 8th 9th and 10th in the year 2016 A64 B58 C48 D44

28 What is the approximate pass percentage in 7th 8th 9th and 10th class combined in the year 2017 combined A85 B90 C95 D80 SET 8 ldquoExpression Publicationsrdquo publishes books in the categories of Computers Fiction Religion Humour Biography Crime Romance and 12 miscellaneous categories For the year 2007ndash2008 the sales volume of the 5 top ranked books which belong to the categories of Religion Humour Computers Romance and Biography were 5500 13000 18000 16000 and 7500 respectively and this contributed to 75 of the total sales volume The sales in the next fiscal year hiked spectacularly by 5625 with the books in the category of Humour contributing to 108 of the total sales volume in 2008ndash2009 The books in the categories of Computers Biography Fiction and Crime contributed 14 4 168 and 144 of the total sales volume in 2008ndash2009 The sales mentioned above are for the top five rated categories of books in the year 2008ndash2009 In 2007ndash2008 the sales of the miscellaneous categories was 15 of the total sales

29 If the increase in the sale of books in the category of Fiction in the year 2008ndash2009 is 400 with respect to previous year then what is the rank of the books in the category of Crime in the year 2007ndash2008 (considering that the sales of the number of books in the miscellaneous categories are equal) A6th B8th C7th D Cannot be determined

30 If the categories of books are ranked in the decreasing order of their sales in 2 years which of these books would rank 6th (the books in the miscellaneous category were not among the top seven for both the years) A Romance B Biography C Religion D Data insufficient

31 If the categories of books are ranked in the decreasing order of their sales in 2 years which of these books would rank 5th (the books in the miscellaneous category were not among the top seven for both the years) A Fiction B Crime C Romance D Cannot be determined

32 In the year 2007ndash2008 if the sale of category Fiction is ranked 6th then the total sale of the books on Crime in that year would be (Consider the total sale of number of books sold in each of the miscellaneous categories as equal)

A 4000 B More than 1000 but less than 4000 C Greater than 4000 D Cannot be determined SET 9 The total consumption of fertilisers in India in 1993ndash1994 was 52 lakh tonnes The total fertiliser market constitutes of 3 types of fertilisers viz nitrogen phosphate and potash In 1993ndash1994 nitrogen accounted for 65 of the total consumption while phosphate and potash were consumed in the ratio 2 1 The total consumption in 1995ndash1996 was 20 less than the total consumption for 1996ndash1997 while it was greater than the total for 1994ndash1995 by 10 The total consumption in 1994ndash1995 was 6 more than that in 1993ndash1994 The consumption of nitrogen fertiliser grew at a steady rate of 5 per annum over the previous years consumption The government has projected a 25 increase in total consumption in 1997ndash1998 over the 1996ndash1997 level The estimated production for 1997ndash1998 is 87 lakh tonnes

33 The individual consumption of nitrogen phosphate and potash fertiliser respectively in 1993ndash1994 (in lakh tonnes) were A31 14 7 B34 12 6 C28 16 8 D37 10 5

34 The total consumption of fertilisers in 1996ndash1997 was (in lakh tonnes) A6834 B7249 C8013 D7579

35 If the government was to import fertilisers to the extent of shortfall in production visndashandashvis the estimated consumption the total imports in 1997ndash1998 would amount to (in lakh tonnes) A984 B657 C777 D847

36 What percentage of the total consumption was attributed to nitrogen fertilisers in 1994ndash1995 A6439 B6573 C6017 D6247 SET 10 There are five friends A B C D and E The monthly salaries of A B C and D are Rs13000 Rs15000 Rs16000 and Rs20000 respectively The monthly salary of E is equal to the average salary of his other four friends The monthly savings of A is 10 of his monthly salary The monthly savings of B and C are equal and the same as 75 of the monthly savings of E D saves Rs1700 per month which is 85 of monthly savings of E

37 Find the monthly salary of E ARs13000 BRs12800 CRs32000 D None of these

38 How much does E save per month ARs1365 BRs2000 CRs1356 D None of these

39 What percent of his income does B save A10 B12 C95 D None of these

40 What is the average of the monthly savings of A B and C ARs1500 BRs1433 CRs2150 DRs2100 SET 11 A took a voluntary retirement on February 1st 2014 and received 10 lakhs as retirement benefits As on that day he also had Rs 3 lakhs in the bank Of the total amount he had 60 was invested in the bank which gives an annual compounded interest of 15 for three years Of the remaining part half was invested in shares which appreciated by 15 in the first year 6 in the second year and depreciated by 10 the next year The remaining part was invested in real estate The real estate values increased by 10 in the first year reduced by 10 in the next year and remained steady in the third year

41 What was the value (in rupees lakhs) of Arsquos investment on February 1st 2015 A 21 lakhs B 1482 lakhs C 1536 lakhs D 1597 lakhs

42 What was the approximate value (kin rupees lakhs) of his investment on 1st February 2017 A 1621 lakhs B 1682 lakhs C 17286 lakhs D 1787 lakhs

43 In which year did the investment show the maximum increase A First B Second C Third D Both (A) and (C) SET 12 A total of 1650 employees is working in a company in different departments The ratio of male employees to female employees in the organisation is 8679 There are total 5 departments in the company ie Product Development Sales and Marketing R amp D and Reinvestment Finance and HR Total 198 males work in Product Development department 18 employees work in Sales and Marketing department in which male to female ratio is 54 In Finance Department 77 males are working and the number of females in this department is 57th of the number of males The number of males in Sales and Marketing department is equal to the number of females in Product Development department The number of males in Finance department is half of the number of males in HR department Male to female ratio in R amp D and Reinvestment department is 1419

44 The number of males in R amp D and Reinvestment department is how much more than females in Product Development

45 Female in R amp D and Reinvestment department is what of the total number of females in the company (approximately)

46 The number of females in Finance department is what percent less than the number of females in Product Development department

SET 13 In a medical college there are 1600 students studying Dentistry and Homeopathy Each student from each course knows one or more languages out of English Hindi and Bengali 45 of the students study Dentistry and the remaining students study Homeopathy Out of the students studying Dentistry boys and girls are in the ratio 53 Out of the boys studying Dentistry 16 know only English 10 know only Hindi and 4 know only Bengali 24 know English as well as Hindi 20 know English as well as Bengali and 14 know Hindi as well as Bengali The remaining boys know all the three languages Out of the girls studying Dentistry 20 know only English 10 know only Hindi and 10 know only Bengali 20 know English as well as Hindi 20 know English as well as Bengali and 10 know Hindi as well as Bengali The remaining girls know all the three languages Out of the students studying Homeopathy boys and girls are in the ratio 47 Out of the boys studying Homeopathy 20 know only English 15 know only Hindi and 5 know only Bengali 15 know English as well as Hindi 25 know English as well as Bengali and 10 know Hindi as well as Bengali The remaining boys know all the three languages Out of the girls studying Homeopathy 15 know only English 15 know only Hindi and 5 know only Bengali 20 know English as well as Hindi 20 know English as well as Bengali and 15 know Hindi as well as Bengali The remaining girls know all the three languages

47 How many students studying Dentistry know only either English or Hindi A198 B117 C270 D156

48 How many students in the college know all the three languages A175 B170 C169 D270

49 What percent of the total number of girls in the college know Bengali A50 B55 C57 D60

50 How many students studying Homeopathy do not know English A198 B270 C288 D292 SET 14 A school has 400 students- boys and girls who are in the ratio of 35 The students speak Hindi English or both the languages 12 of the boys speak only Hindi 22 of the girls speak only English 24 of the total students speak only Hindi and the number of boys speaking both the languages is six times the number of boys speaking only Hindi

51 How many boys speak Hindi 52 How many girls speak only Hindi 53 How many students speak English 54 The number of girls speaking only Hindi is what percent of the total number of students

speaking only Hindi SET 15 People Power Corporation presently employs three Managers (A B and C) and five recruitment agents (D E F G and H) The company is planning to open a new office in San

Jose to manage placement of software professionals in the US It is planning to relocate two of the three managers and three of the five recruitment agents to the office at San Jose As it is an organization which is highly people oriented the management wants to ensure that the individuals who do not function well together should not be made as a part of the team going to the US The following information was available to the HR department of People Power Corporation Managers A and C are at each otherrsquos throat and therefore cannot be sent as a team to the new office C and E are excellent performers in their own right However they do not function together as a team They should be separated D and G have had a major misunderstanding during the last office picnic After the picnic these two have not been in speaking terms and should therefore not be sent as a team D and F are competing for a promotion that is due in another 3 months They should not be a team

55 If D goes to the new office which of the following is (are) true I C cannot go II A cannot go III H must also go A I only B II and III only C I and III only D I II and III

56 If A is to be moved as one of the Managers which of the following cannot be a possible working unit A ABDEH B ABFGH C ABEGH D ABDGH

57 If C and F are moved to the new office how many combinations are possible A 4 B 1 C 3 D 5

58 Given the group dynamics of the Managers and the recruitment agents which of the following is sure to find a berth in the San Jose office A B B H C G D E SET 16 Ghosh Babu took voluntary retirement in Dec 1991 and received a certain amount of money as retirement benefits On Jan 1 1992 he invested the entire amount in shares At the end of the month he sold all his shares and realised 25 profit On Feb 1 he reinvested the entire amount in shares which he sold at the end of the month at a loss of 20 Again he invested the entire amount on Mar 1 in a new company At the end of the month he sold the new company to a friend and realised a profit of 20 in the process He invested the entire amount in shares on Apr 1 which he sold at the end of the month for Rs 108000 incurring a loss of 10

59 What is the amount of retirement benefits received by Ghosh Babu A Rs 108000 B Rs 125000 C Rs 120000 D Rs 100000

60 The percentage profit received by Ghosh Babu between Jan 1 and Apr 30 is A 800 B 1500 C - 1000 D None of these

61 The amount of loss incurred by Ghosh Babu based on his operation in Apr 1992 is A Rs 25000 B Rs 12000 C Rs 20000 D Rs 8000

62 The maximum amount invested by Ghosh Babu in any one month was in A January B February C March D April SET 17 A school consisting of a total of 1560 students has boys and girls in the ratio of 7 5 respectively All the students are enrolled in different types of hobby classes viz Singing Dancing and Painting One-fifth of the boys are enrolled in only Dancing classes Twenty per cent of the girls are enrolled in only Painting classes Ten percent of the boys are enrolled in

only Singing classes Twenty-four per cent of the girls are enrolled in both Singing and Dancing classes together The number of girls enrolled in only Singing classes is two hundred per cent of the boys enrolled in the same One-thirteenth of the boys are enrolled in all the three classes together The respective ratio of boys enrolled in Dancing and Painting classes together to the girls enrolled in the same is 2 1 respectively Ten per cent of the girls are enrolled in only Dancing classes whereas eight per cent of the girls are enrolled in both Dancing and Painting classes together The remaining girls are enrolled in all the three classes together The number of boys enrolled in Singing and Dancing classes together is fifty per cent of the number of girls enrolled in the same The remaining boys are enrolled in only Painting classes

63 Total number of girls enrolled in Singing is approximately what per cent of the total number of students in the school A 37 B 19 C 32 D 26

64 What is the respective ratio of the number of girls enrolled in only Painting classes to the number of boys enrolled in the same A 77 26 B 21 73 C 26 77 D 73 21

65 Number of girls enrolled in only Dancing classes is what per cent of the boys enrolled in the same A 3867 B 3571 C 4183 D 2862

66 What is the total number of boys who are enrolled in Dancing A 318 B 364 C 292 D 434 SET 18 Not surprisingly the growth of the hotel industry is driven by the increase in the number of people using hotels and the increase in per person use of the hotel In 2004 it is expected that there will be 200 million hotel users in India or about 20 per cent of the population will generate Rs 50 billion in hotel revenues Industry revenues should expand from Rs 50 billion to Rs 150 billion by 2008 while the number of users should grow to over 560 million or to about half the population of India in the same period

67 What is the estimated population of India in 2004 A 98 crore B 100 crore C 110 crore D 115 crore

68 What will be the simple average growth rate of population of India in the given period 2004-2008 A 2

B 3 C 4 D 45

69 What will be the growth in percentage of users in India by 2008 A 100 B 150 C 180 D 200

70 What will be the percentage growth of the revenues of the hotel industry in the given period A 200 B 230 C 260 D 300 SET 19 Bihar and Orissa are the most deprived states of India While they contain one-fifth of Indiarsquos population they have almost one-third of Indiarsquos illiterates In 1998 only a small fraction of Orissa and Biharrsquos population was literate versus 85 per cent of Keralarsquos population More than two-thirds of the births are not attended by any medical facility 110th of the infants born in Orissa and Bihar die in infancy and an equal number before reaching the age of five Almost 90 per cent of the under five deaths are due to malnutrition From amongst the lucky kids who have survived for the first five years 13rd of them work as child labourers and only half of the remaining are sent to school Of those who attend classed only 40 per cent are able to reach Std V In India 30 per cent of the children under 16 work as labourers Orissa and Bihar contain 13rd of the child labourers in India India has the largest population of child labourers which is 115th of its total population In Orissa and Bihar out of 100 children enrolled in school 32 are girls And out of 100 who attend Std X only 10 are girls Only 38 out of 100 Indian women are literate versus 57 per cent of males Even in wealthy states such as Punjab girls suffer from malnutrition seven times more than boys do The total population of the country was 90 crore in 1998 and the ratio of male to female in India was 10 to 9

71 According to the information provided what percentage of the infants in Orissa and Bihar attend Std V A 1133 B 1066 C 1333 D 1233

72 The number of child labourers in India in 1998 are A 15 crore B 16 crore C 12 crore D 6 crore

73 The Orissa and Bihar out of 100 born approximately how many children work as child labourers A 27 B 32 C 13 D 38

74 What percentage of girl children enrolled in school reach Std X in Orissa and Bihar

A 10 B 32 C 60 D Insufficient data SET 20 AMS Inc is the leader in selling ideas universe wide but its maximum revenue comes from three principal planets only viz Earth Mars Jupiter Further it has three products viz CSP CC and CP In a particular year the number of units sold had a distribution as follows The number of units of CCs sold on Mars was 12 per cent of the number of units of CPs sold on Earth The number of units of CPs sold on Jupiter was 1000 Total number of CC units sold was 2600 Total number of CP units was 200 higher than that of the total number of units of CCs sold The number of units of CSP sold on Mars was 10 per cent of the number of units of CP sold on Jupiter The number of units of CSP sold on Earth was 2000 The number of units of CC sold on Earth was 15 per cent of the number of units CSP sold on Jupiter The prices of the units on the different planets were as follows Earth rarr Rs 15 per unit Mars rarr Rs 10 per unit Jupiter rarrRs 8 per unit The number of units of CSP sold on Jupiter was 300 The number of units of CP sold on Earth was 600

75 The number of units of CC sold on Jupiter is A 1520 B 2483 C 3423 D 600

76 The revenue generated on Earth is greater than that generated on Jupiter by about A Rs 8000 B Rs 9000 C Rs 10000 D None of these

77 The overall revenue generated is the highest from A CSPs B CP C CCs D Canrsquot be determined SET 21 An organization consists of 3500 employees working in different departments viz HR Marketing IT Production and Accounts The ratio of male to female employees in the organisation is 3 2 8 of the males work in the HR department 22 of the female work in the account department The ratio of males to females working in the HR department is 3 5 Oneseventh of the females work in the IT department 46 of the males work in the

Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

78 The number of males working in the Account department forms approximately what percent of the total number of males in the organisation A 6 B 8 C 10 D 11

79 How many females work in Production department A 140 B 200 C 180 D None

80 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A 28 B 32 C 29 D 31

81 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A 15 8 B 1 2 C 8 15 D 2 1

SET 22 A B and C started a business by investing Rs 800 Rs 1600 and Rs 2000 respectively After a quarter they invested amounts in a ratio 1 4 2 After another quarter they invested amounts in ratio 3 2 3In the last quarter the ratio of investments was same as in 2nd quarter Also in the last quarter the respective amounts of A B and C was double than the respective amounts invested in 2nd quarter The total investment of C before 4th quarter was Rs 1400 more than that of A during same duration Also ratio of Brsquos share in profit to total profit at the end of year was 66 153

82 Find the total investment of A B and C A Rs 10200 B Rs 11300 C Rs 9800 D Rs 10080

83 If they respectively had invested same amounts in each quarter after quarter 1 which is equal to their respective investments in quarter 1 then what would be the profit of A at the end of year out of a total profit of Rs 19350 A Rs 2510 B Rs 3320 C Rs 2560 D Rs 3150

84 If the respective investments in third quarter was changed and this was in ratio 2 4 1 (other investments being the same) then what would be the total investment of all three in third quarter if the average investment of all A B and C was Rs 3100 for whole year A Rs 500 B Rs 800 C Rs 700 D Rs 900 SET 23 The total population of village satana is 3550 out of which 36 people are below poverty line The total population of Satana is 11 frac14 less than the total population of amin while there are 29 people in amin who lives below poverty line In Nilokheri the people living below poverty line are 40 more than that in amin which is 40 of the total population of this village The average population of Gharaunda and Samalkha is equal to the average population of amin and Nilokheri while the difference between their population is 1800 (Village Samalkha is more populated) 47 of the population of Gharaunda are below poverty line Overall 46 of the population of all villagesrsquo together lives below poverty line

85 What percent of population of Samalkha lives above poverty line (Approximate) A 26 B 27 C 28 D 29

86 Find the approximate average no of people below poverty line in the given villages A 1610 B 1620 C 1615 D 1320

87 If 35 of the BPL population of Nilokheri are children while 30 of the overall population of this village are children Then what percent of population above poverty line are children A 25 B 30 C 26 13 D 26 23

88 What is the difference between total population of Nilokheri and that of Gharaunda A 300 B 200 C 250 D 400

SET 24

Gaurav a sweet seller bought some quantity of three types of sweets Rasgulla Rasmalai and Kalakand in ratio of 6 10 9 Kalakand costed him a total of Rs 18900 at rate of 420 per kg By selling Kalakand at a discount of 5 he earned a profit of 13 221 On Rasmalai (which was marked Rs 500 per kg) he earned Rs 5 less profit per kg as compared to that on Kalakand by selling Rasmalai at 10 discount Gaurav spent a total of Rs 46400 on buying these sweets while he earned a total profit of Rs 5875 on selling all bought sweets Rasgullas were marked 40 above cost price per kg

89 What is the difference between the number of Accord cars sold by dealers D and E together

and the number of City cars sold by dealers B and F together A 3658 B 3712 C 4205 D 3252

90 If Gaurav gave an extra discount of 20 on Kalakand then his gain or loss was

A 9 11

21 profit B 8

11

21 loss C 10

11

23 loss D 9

11

21 loss

91 Find the total quantity of sweets bought by Gaurav A 135 kg B 126 kg C 125 kg D 120 kg

92 If 10kg of Rasmalai was wasted away due to some reason Find profit or loss by selling the remaining Rasmalai as per given condition A 10 loss B 10 gain C 12 loss D 15 loss SET 25 An organization consists of 3500 employees working in different departments viz HR Marketing IT Production and Accounts The ratio of male to female employees in the organisation is 3 2 8 of the males work in the HR department 22 of the female work in the account department The ratio of males to females working in the HR department is 3 5 One-seventh of the females work in the IT department 46 of the males work in the Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

93 The number of males working in the Account department forms approximately what per cent of the total number of males in the organisation A 6 B8 C10 D11

94 How many females work in Production department A 140 B200 C180 DNone of these

95 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A28 B30 C29 D31

96 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A158 B12 C815 D21 SET 26

In the recently held Commonwealth Games a total number of 500 players participated in five different games viz Athletics Hockey Lawn Tennis Rugby and Badminton 15 of the total players participated in Badminton 25 of the total players participated in Hockey 6 of the total players participated in Lawn Tennis and 25 of the total players participated in Athletics The remaining players participated in Rugby One-fourth of the Hockey players are females 20 of the Badminton players are males Half of the players who participated in Lawn Tennis are males There are 55 female athletes No female player participated in Rugby

97 The number of female players who participated in Badminton is approximately what per cent of the total number of players who participated in Rugby A82 B80 C86 D76

98 What is the difference between the number of male players who participated in Hockey and the number of female players who participated in Lawn Tennis A125 B145 C130 D135

99 If due to certain reason Athletics was dropped and all the athletes left the tournament then what was the percentage of male players among the total players remaining in the tournament A4566 B4033 C3533 DNone of these

100 What is the ratio of the total number of male players participating in Badminton to the total number of female players participating in Hockey A353 B310 C510 D325 SET 27 The premises of an institute are to be renovated Only the floor is to be renovated either with marble or with wood All rooms halls and pantry are rectangular The area to be renovated comprises a hall measuring 33m by 39m The directorrsquos room measures 13m by 12m and the pantry measures 14m by 12m A record keeping-cum-server room measures 23m by 13m and the accounts room measures 12m by 23m The total area of the institute is 2500 square metres The cost of wooden flooring is Rs 170 per square metre and the cost of marble flooring is Rs 190 per square metre The accounts room the record keeping-cum-server room and the pantry are to be floored with marble The directorrsquos room and the hall are to be floored with wood

101 What is the ratio of the total cost of wooden flooring to the total cost of marble flooring A 1443 735 B 8177 4655 C 1443 4655 D 24531 14117

102 If four walls and ceiling of the room (the height of the room is 15 metres) are to be painted at the cost of Rs 190 per square metre how much will be the total cost of renovation of the directorrsquos room including the cost of flooring A 198660 B 178680 C 198880 D 22876

103 If the remaining area of the institute is to be carpeted at the rate of Rs 210 per square metre by how much will the cost of renovation of institute premises increase A 75000 B72840 C65940 D 75940

104 What is the percentage area of the institute that is not to be renovated A1644 B1356 C1455 D1256

SET 28 A total of 1650 students are studying in an engineering college in different departments The ratio of male students to female students in the college is 8679 The college had a total of 5 departments which are mechanical civil electrical Biotechnology and computer science Total 198 males study in the mechanical department 18 students study in the civil department in which male to female ratio is 54 In the biotechnology department 77 male students are studying and the number of female students in this department is 57th of the number of males The total number of male students in the civil department is equal to the number of female students in the mechanical department The number of males in biotechnology department is half of the number of total male students in computer science department In the electrical department the male to female ratio is 1419

105 The number of male students in electrical department is how much more than female students in mechanical

106 Female students in electrical department is what of the total number of females in the college (approximately) SET 29 During the period 1990-91 to 1994-95 the unit sales of Motorcycles witnessed a simple average growth rate of 45 and the unit price experienced a simple average growth rate of 41 In the year 1990-91 amp 1992-93 the selling price of motorcycle was Rs 50000 The unit selling price rose by Rs 2500 each in the years 1991-92 and 1994-95 Between 1990-91 and 1992-93 unit sales increased by 155 In 1992-93 approx 2888 units and in 1993-94 3000 units were sold In 1991-92 the sales increased by Rs 1281 crore and number of units sold increased by 125

107 The rupee sales of the motorcycles in 1990-91 is A Rs 180crore B Rs 125crore C Rs 135crore D Rs 100crore

108 How many motorcycles were sold in 1991-92 A 2500 B 2625 C 3050 D 4000

109 How many motorcycles were sold during the period 1990-91 to 1994-95 A 15025 B 14005 C 14076 D 15000

110 What is the selling price of a motorcycle in 1993-94 A Rs 50000 B Rs 52500 C Rs 57750 D Rs 60000

SET 30 Mlon huskthe space Y inventor took his team of scientist to newly found planetrdquoEuro Chandrdquo The team agreed on the condition that they will not do any research during their visit but will only do rest But Husk as per his nature observed various phenomenon on new planet including the gravitational pull He observed that a kg on earth is equivalent to 12 kg on Euro chand except kg on new planet is called Euroc Slen weighs 552 Euroc weighs heavier than all except Plen who weighs 108 Euroc more Olen the lightest weighs 252 Euroc less than Dlen Jlen weighs 48 Euroc less than Slen and 48 Euroc more than Dlen

111 What is the weight of Plen (in Kg) A55 B46 C17 D48

112 What is the weight of Olen (in Euronc ) A505 B246 C218 D204

113 Approximately how many times is the weight of Plen that of Dlen A145 B107 C218 D214

114 Weight of Dlen is what moreless than weight of Jlen

A111 B108 C95 D121 SET 31 In a MNC there are 5000 employees In that there are 6 departments ie Accounts department maintenance-admin department HR department production department RampD department marketing department In maintenance- admin department there is 15 of total number of employees In that 40 are females Total number of persons working in RampD department is equal to total number of males working in maintenance department Male to female ratio of RampD is 45In production department 1500 persons are working there are males only In HR department the number of persons working is 15 of number of persons working in production department where 80 are females The number of people working in Accounts department is 60 of production department in that number of females are 550 The number of female in marketing department 500

115 Total number of males in RampD department is what percentage of total number of males in the marketing department A50 B 375 C 33 13 D1007

116 What is the percentage increasedecrease in total number of females in HR department to the total number of males in maintenance ndash admin department A5334 increase B5334 decrease C4666 increase D4666decrease

117 What is the difference between total number of males in marketing department to total number of females in the accounts department A75 B50 C60 D90

118 What is the ratio of total number of males in HR department to the total number of females in maintenance ndash admin department A15 B27 C35 D47 SET 32

According to A the census has been taken by the Government for literacy rate in two villages

A and B total population is 6 00000 In which the ratio between total numbers of males to

total number of females is 53 and the ratio of total population in village A to village B is 1713

The ratio of number of males in village A to number of males in village B is 78Total Ratio of

literate to illiterate (in men) 41 Out of total women only 35 are literates Total percentage

of adults is 80 ( m f = 53) in total population and in remaining 10 are children all other

peoples are senior citizens

119 What is the difference between literate people to total number of senior citizens

A378750 B78750 C270750 D221250

120 Total number of literate males in village A (if 45 of literate males are in Village A) is what percentage of total number of illiterate Females (Approximately) A97 B92 C89 D85

121 What is the ratio of males in village B to Adult females in the survey A54 B45 C910 D109

122 What is the increasedecrease in percentage of total number children to the

difference between the populations of village A to village B

A85 decrease B 85 increase C 95 increase D95 decrease

SET 33 Acity consists of 2400 employees working in different IT companies viz TCS Infosys Wipro Tech Mahindra and Oracle The ratio of male to female employees in the city is 5 3 respectively Twelve per cent of the males work in the TCS Company Twenty four per cent of the females work in the Oracle Company The ratio of males to females working in the TCS company is 6 11 respectively One-ninth of the females work in the Wipro Company Forty two percent of the males work in the Tech Mahindra Company Number of females working in the Tech Mahindra Company is ten percent of the males working in the same The remaining females work in the Infosys Company The total number of employees working in the Wipro Company is 285 Twenty two percent of the males work in the Infosys Company and the remaining work in the Oracle Company

123 The number of females working in the Tech Mahindra Company TCS Company and Infosys company together forms what percent of the total number of females in the City A6488 B5765 C 4896 D7527

124 The total number of females working in the TCS and Infosys Company together

forms what percent of the total number of employees in Tech Mahindra Company

A7018 B8047 C 7526 D7518

125 What is the difference between the number of males in Infosys Company and

number of females to the Oracle Company together to the number of males in Tech

Mahindra Company and number of females to the TCS Company together

A434 B427 C404 D414

126 The number of males working in the Wipro Company and the number of females

working in the Infosys Company together forms approximately what percent of the total

number of males in the City (Rounded off the nearest percentage)

A50 B25 C21 D18

SET 34

A School consisting of a total of 1560 students has boys and girls in the ratio of 7 5

respectively All the students are enrolled for different country tours viz Russia Switzerland

and Japan One-fifth of the boys are enrolled for only Switzerland tour Twenty percent of

the girls are enrolled for only Japan tour Ten percent of the boys are enrolled for only Russia

tour Twenty four percent of the girls are enrolled for both Russia and Switzerland tour

together The number of girls enrolled for only Russia tour is two hundred percent of the

boys enrolled in the same One-thirteenth of the boys are enrolled for all the three tour

together The respective ratio of boys enrolled for Switzerland and Japan tour together to

the girls enrolled for the same is 2 1 respectively Ten percent of the girls are enrolled for

only Switzerland tour whereas eight percent of the girls are enrolled for both Switzerland

and Japan tour together The remaining girls are enrolled for all the three tour together The

number of boys enrolled for Russia and Switzerland tour together is fifty percent of the

number of girls enrolled for the same The remaining boys are enrolled for only Japan tour

127 What is the respective ratio of the number of girls enrolled for only Japan tour and

number of boys enrolled for Switzerland tour together to the number of boys enrolled for

the Japan tour and number of girls enrolled for Switzerland tour together

A7752 B7552 C5275 D5277

128 Number of girls enrolled for only Switzerland Russia and Japantour together is what

percent of the boys together enrolled for the same (Rounded off to two digits after

decimal)

A3757 B5729 C6193 D5522

129 What is the total number of students enrolled for all the three tour and number of

girls enrolled for Switzerland and Russia tour together and number of boys enrolled for

Switzerland and Japan tour together

A395 B2415 C385 D390

130 What is the sum of the total number of boys who are enrolled for Switzerland and

the total number of girls who are enrolled for same tour together

A872 B752 C802 D772

SET 35

A radio station surveyed 200 students to determine the types of music they liked There are

three types of music rock music folk music and classical music The survey revealed that 57

percent liked rock music 25 percent liked folk music and 205 percent liked classical music 14

students liked rock music and folk music 15 students liked rock music and classical music 6

students liked only classical music and folk music 90 of them liked only rock music

131 How many of them liked folk music but not rock music

A36 B41 C30 D44

132 How many of them liked any two types of music only

A15 B16 C19 D25

133 How many students did not like any of the three types

A35 B40 C30 D25

134 What is the ratio of who liked rock and classical music together to the ratio of who

liked only folk music

A51 B3110 C316 D125

SET 36

In a shopping mall there are three different varieties of dress materials Cotton Silk and

Chiffon There are 300 customers visited the Shop 50 of customers purchased Cotton

material 40 of customers purchased Chiffon material and 60 of customers purchased Silk

material The customers who purchased any of two dress materials are 90 20 of

customers who purchased Cotton also purchased other two materials The customers who

purchased only Silk material are 20 more than that of who purchased only Chiffon material

30 Customers are purchased only Silk and Chiffon material

135 How many of them purchased only one variety of dress material

A150 B180 C120 D160

136 How many of them purchased at least two types of dress materials

A90 B100 C120 D140

137 What is the percentage of the customers who purchased only Silk material to that of

the customers who purchased all types of dress material

A30043 B30553 C35523 D23333

138 How many of them did not purchase any of the three types of materials

A10 B15 C5 D None

SET 37

In a sports event six teams (A B C D E and F) are competing against each other Matches

are scheduled in two stages Each team plays three matches in stage ndash I and two matches in

Stage ndash II No team plays against the same team more than once in the event No ties are

permitted in any of the matches The observations after the completion of Stage ndash I and

Stage ndash II are as given below

Stage-I

bull One team won all the three matches

bull Two teams lost all the matches

bull D lost to A but won against C and F

bull E lost to B but won against C and F

bull B lost at least one match

bull F did not play against the top team of Stage-I

Stage-II

bull The leader of Stage-I lost the next two matches

bull Of the two teams at the bottom after Stage-I one team won both matches while the

other lost both matches

bull One more team lost both matches in Stage-II

139 The two teams that defeated the leader of Stage-I are

A F amp D B E amp F C B amp D D E amp D

140 The only team(s) that won both matches in Stage-II is (are)

A B B E amp F C A E amp F D B E amp F

141 The teams that won exactly two matches in the event are

A A D amp F B D amp E C E amp F D D amp F

142 The team(s) with the most wins in the event is (are)

A A B A amp C C B amp E D E

SET 38

Two traders Chetan and Michael were involved in the buying and selling of MCS shares

over five trading days At the beginning of the first day the MCS share was priced at ₹100

while at the end of the fifth day it was priced at ₹110 At the end of each day the MCS share

price either went up by ₹10 or else it came down by ₹10 Both Chetan and Michael took

buying and selling decisions at the end of each trading day The beginning price of MCS share

on a given day was the same as the ending price of the previous day Chetan and Michael

started with the same number of shares and amount of cash and had enough of both

Below are some additional facts about how Chetan and Michael traded over the five trading

days

middot Each day if the price went up Chetan sold 10 shares of MCS at the closing price On the

other hand each day if the price went down he bought 10 shares at the closing price

middot If on any day the closing price was above ₹110 then Michael sold 10 shares of MCS

while if it was below ₹90 he bought 10 shares all at the closing price

143 If Chetan sold 10 shares of MCS on three consecutive days while Michael sold 10

shares only once during the five days what was the price of MCS at the end of day 3

A ₹ 90 B ₹100 C ₹110 D ₹120

144 If Chetan ended up with ₹1300 more cash than Michael at the end of day 5 what

was the price of MCS share at the end of day 4

A ₹90 B ₹100 C ₹110 D₹120

145 If Michael ended up with 20 more shares than Chetan at the end of day 5 what was

the price of the share at the end of day 3

A₹90 B ₹100 C ₹110 D ₹120

146 If Michael ended up with ₹100 less cash than Chetan at the end of day 5 what was

the difference in the number of shares possessed by Michael and Chetan (at the end of day

5)

A Michael had 10 less shares than Chetan

B Michael had 10 more shares than Chetan

C Chetan had 10 more shares than Michael

D Both had the same number of shares

SET 39

Bankatlal acted as a judge for the beauty contest There were four participants viz Ms

Andhra Pradesh Ms Uttar Pradesh Ms West Bengal and Ms Maharashtra Mrs Bankatlal

who was very anxious about the result asked him about it as soon as he was back home

Bankatlal just told that the one who was wearing the yellow saree won the contest When

Mrs Bankatlal pressed for further details he elaborated as follows

I All of them were sitting in a row

II All of them wore sarees of different colors viz Green Yellow White Red

III There was only one runner up and she was sitting beside Ms Maharashtra

IV The runner up was wearing the Green saree

V Ms West Bengal was not sitting at the ends and was not a runner up

VI The winner and the runner up are not sitting adjacent to each other

VII Ms Maharashtra was wearing white saree

VIII Ms Andhra Pradesh was not wearing the Green saree

IX Participants wearing Yellow saree and White saree were at the ends

147 Who wore the Red saree A Ms Andhra Pradesh B Ms West Bengal C Ms Uttar Pradesh D Ms Maharashtra

148 Ms West Bengal was sitting adjacent to A Ms Andhra Pradesh and Ms Maharashtra B Ms Uttar Pradesh and Ms Maharashta C Ms Andhra Pradesh and Ms Uttar Pradesh D Ms Uttar Pradesh only

149 Which saree was worn by Ms Andhra Pradesh A Yellow B Red C Green D White

150 Who was the runner up

A Ms Andhra Pradesh B Ms West Bengal

C Ms Uttar Pradesh D Ms Maharashta

SET 40

Ghosh Babu goes to a casino in Kay - Kay islands where he comes across an interesting game

of cards The visitor playing the game is called the player amp the clubman is called the dealer

The rules of the game are as follows First the player picks the card This card is called the

base card amp the number on the face of the card is called the base value of the card Ace

King Queen amp Jack all have base value of 10 The dealer pays the player same number of

rupees as the base value of the card Now the dealer picks a card amp This is called the top

card If topcard is of the same suite then the player pays the dealer double the amount of

base value If it is of the same colour but not the same suite then the player pays the dealer

the amount of a bse value If it is of different colour then the dealer pays the player the

amount of base value Ghosh Babu plays the game 4 times First time he draws 8 of club amp

the dealer draws jack of club Second time he draws 10 of hearts amp the dealer draws 2 of

spade Third time he draws 6 of diamond amp the dealer draws 1 of heart Finally Ghosh Babu

draws 8 of spade and the dealer draws ace of the spade

151 If Ghosh Babu should leave the game when his profit is maximum then what is that

profit

A 12 B 18 C 20 D None of these

152 If Ghosh Babu did not have to borrow any money from anyone then what is the

minimum amount that he could have started with

A 16 B 24 C 8 D None of these

153 If Ghosh Babu is left with 100 rupees now what is the amount that he had started

with

A 120 B 104 C 96 D None of these

SET 41

Twenty one participants from four continents (Africa Americas Australasia and Europe)

attended a United Nations conference Each participant was an expert in one of four fields

labour health population studies and refugee relocation The following five facts about the

participants are given

I The number of labour experts in the camp was exactly half the number of experts in each

of the three other categories

II Africa did not send any labour expert Otherwise every continent including Africa sent at

least one expert for each category

III None of the continents sent more than three experts in any category

IV If there had been one less Australasian expert then the America would have had twice

many experts as each of the other continents

V Mike and Alfanso are leading experts of population studies who attended the conference

They are from Australasia

154 Which of the following numbers cannot be determined from the information given

A Number of labour experts from the Americas

B Number of health experts from Europe

C Number of health experts from Australasia

D Number of experts in refugee relocation from Africa

155 Which of the following combinations is NOT possible

A 2 experts in population studies from the Americas and 2 health experts from Africa

attended the conference

B 2 experts in population studies from the Americas and 1 health expert from Africa

attended the conference

C 3 experts in refugee relocation from the Americas and 1 health expert from Africa

attended the conference

D Africa and America each had 1 expert in population studies attending the conference

156 If Ramos is the lone America expert in population studies which of the following is

NOT true about the numbers of experts in the conference from the four continents

A There is one expert in health from Africa

B There is one expert in refugee relocation from Africa

C There are two experts in health from the Americas

D There are three experts in refugee relocation from the Americas

157 Alex an American expert in refugee relocation was the first keynote speaker in the

conference What can be inferred about the number of American experts in refugee

relocation in the conference excluding Alex (i) At least one (ii) Atmost two

A Only (i) and not (ii) B Only (ii) and not (i)

C Both (i) and (ii) D Neither (i) nor (ii)

SET 42

Help Distress (HD) is an NGO involved in providing assistance to people suffering from

natural disasters Currently it has 37 volunteers They are involved in three projects

Tsunami Relief (TR) in Tamil Nadu Flood Relief (FR) in Maharashtra and Earthquake Relief

(ER) in Gujarat Each volunteer working with Help Distress has to be involved in at least one

relief work project

bull A Maximum number of volunteers are involved in the FR project Among them the

number of volunteers involved in FR project alone is equal to the volunteers having

additional involvement in the ER project

bull The number of volunteers involved in the ER project alone is double the number of

volunteers involved in all the three projects

bull 17 volunteers are involved in the TR project

bull The number of volunteers involved in the TR project alone is one less than the number of

volunteers involved in ER project alone

bull Ten volunteers involved in the TR project are also involved in at least one more project

158 Based on the information given above the minimum number of volunteers involved

in both FR and TR projects but not in the ER project is

A 1 B 3 C 4 D 5

159 Which of the following additional information would enable to find the exact

number of volunteers involved in various projects

A Twenty volunteers are involved in FR B Four volunteers are involved in all the three projects C Twenty three volunteers are involved in exactly one project D No need for any additional information

160 After some time the volunteers who were involved in all the three projects were

asked to withdraw from one project As a result one of the volunteers opted out of the TR

project and one opted out of the ER project while the remaining ones involved in all the

three projects opted out of the FR project Which of the following statements then

necessarily follows

A The lowest number of volunteers is now in TR project B More volunteers are now in FR project as compared to ER project C More volunteers are now in TR project as compared to ER project D None of the above

161 After the withdrawal of volunteers as indicated in Question 85 some new

volunteers joined the NGO Each one of them was allotted only one project in a manner such

that the number of volunteers working in one project alone for each of the three projects

became identical At that point it was also found that the number of volunteers involved in

FR and ER projects was the same as the number of volunteers involved in TR and ER projects

Which of the projects now has the highest number of volunteers

A ER B FR C TR D Cannot be determined

SET 43

Mathematicians are assigned a number called Erdoumls number (named after the famous

mathematician Paul Erdoumls) Only Paul Erdoumls himself has an Erdoumls number of zero Any

mathematician who has written a research paper with Erdoumls has an Erdoumls number of 1 For

other mathematicians the calculation of hisher Erdoumls number is illustrated below

Suppose that a mathematician X has co-authored papers with several other mathematicians

From among them mathematician Y has the smallest Erdoumls number Let the Erdoumls number

of Y be y Then X has an Erdoumls number of y + 1 Hence any mathematician with no co-

authorship chain connected to Erdoumls has an Erdoumls number of infinity In a seven day long

mini-conference organized in memory of Paul Erdoumls a close group of eight mathematicians

call them A B C D E F G and H discussed some research problems At the beginning of the

conference A was the only participant who had an infinite Erdoumls number Nobody had an

Erdoumls number less than that of F

bull On the third day of the conference F co-authored a paper jointly with A and C This

reduced the average Erdoumls number of the group of eight mathematicians to 3 The Erdoumls

numbers of B D E G and H remained unchanged with the writing of this paper Further no

other co-authorship among any three members would have reduced the average Erdoumls

number of the group of eight to as low as 3

bull At the end of the third day five members of this group had identical Erdoumls numbers while

the other three had Erdoumls numbers distinct from each other

bull On the fifth day E co-authored a paper with F which reduced the grouprsquos average Erdoumls

number by 05 The Erdoumls numbers of the remaining six were unchanged with the writing of

this paper

bull No other paper was written during the conference

162 The Erdoumls number of C at the end of the conference was

A 1 B 2 C 3 D 4

163 The Erdoumls number of E at the beginning of the conference was

A 5 B 6 C 7 D 8

164 How many participants had the same Erdoumls number at the beginning of the

conference

A 2 B 3 C 4 D 5

SET 44

K L M N P Q R S U and W are the only ten members in a department There is a proposal

to form a team from within the members of the department subject to the following

conditions

bull A team must include exactly one among P R and S

bull A team must include either M or Q but not both

bull If a team includes K then it must also include L and vice versa

bull If a team includes one among S U and W then it must also include the other two

bull L and N cannot be members of the same team

bull L and U cannot be members of the same team

The size of a team is defined as the number of members in the team

165 Who can be a member of a team of size 5

A K B L C M D P

166 Who cannot be a member of a team of size 3

A L B M C N D P

167 What could be the size of a team that includes K

A 2 or 3 B 2 or 4 C 3 or 4 D Only 4

168 In how many ways a team can be constituted so that the team includes N

A 2 B 3 C 4 D 6

SET 45

(i) There are three houses on each side of the road

(ii) These six houses are labeled as P Q R S T and U

(iii) The houses are of different colours namely Red Blue Green Orange Yellow and

White

(iv) The houses are of different heights

(v) T the tallest house is exactly opposite to the Red coloured house

(vi) The shortest house is exactly opposite to the Green coloured house

(vii) U the Orange coloured house is located between P and S

(viii) R the Yellow coloured house is exactly opposite to P

(ix) Q the Green coloured house is exactly opposite to U

(x) P the White coloured house is taller than R but shorter than S and Q

169 Which is the second tallest house

A P B S C Q D cannot be determined

170 What is the colour of the house diagonally opposite to the Yellow coloured house

A White B Blue C Green D Red

171 What is the colour of the tallest house

A Red B Blue C Green D Yellow

SET 46

A leading socialite decided to organise a dinner and invited a few of her friends Only the

host and the hostess were sitting at the opposite ends of a rectangular table with three

persons along each side The pre-requisite for the seating arrangement was that each person

must be seated such that atleast on one side it has a person of opposite sex Maqbool is

opposite Shobha who is not the hostess Ratan has a woman on his right and is sitting

opposite a woman Monisha is sitting to the hostessrsquos right next to Dhirubhai One person is

seated between Madhuri and Urmila who is not the hostess The men were Maqbool Ratan

Dhirubhai and Jackie while the women were Madhuri Urmila Shobha and Monisha

172 The eighth person present Jackie must be I the host II seated to Shobarsquos right III

seated opposite Urmila

A I only B III only C I and II only D II and III only

173 Which of the following persons is definitely not seated next to a person of the same

sex

A Maqbool B Madhuri C Jackie D Shobha

174 If Ratan would have exchanged seats with a person four places to his left which of

the following would have been true after the exchange

I No one was seated between two persons of the opposite sex (eg no man was seated

between two women)

II One side of the table consisted entirely of persons of the same sex

III Either the host or the hostess changed seats

A I only B II only C I and II only D II and III only

175 If each person is placed directly opposite his or her spouse which of the following

pairs must be married

A Ratan and Monisha B Madhuri and Dhirubhai

C Urmila and Jackie D Ratan and Madhuri

SET 47

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

2 85 of the total students passed in class 8 in 2016 3 Number of students failed in class 9 in 2015 is 25 less than that of class 7 in the same year 4 In class 7 in 2016 4 Students did not pass

25 What is the highest pass percentage in any class (among 7th 8th 9th and 10th) in any year

from 2015-2017 A 9333 B 9424 C 9535 D 96

26 How many new students got admission in year 2017 in class 9th A1 B2 C3 D None of these

27 How many total students did not write the exams in class 7th 8th 9th and 10th in the year 2016 A64 B58 C48 D44

28 What is the approximate pass percentage in 7th 8th 9th and 10th class combined in the year 2017 combined A85 B90 C95 D80 SET 8 ldquoExpression Publicationsrdquo publishes books in the categories of Computers Fiction Religion Humour Biography Crime Romance and 12 miscellaneous categories For the year 2007ndash2008 the sales volume of the 5 top ranked books which belong to the categories of Religion Humour Computers Romance and Biography were 5500 13000 18000 16000 and 7500 respectively and this contributed to 75 of the total sales volume The sales in the next fiscal year hiked spectacularly by 5625 with the books in the category of Humour contributing to 108 of the total sales volume in 2008ndash2009 The books in the categories of Computers Biography Fiction and Crime contributed 14 4 168 and 144 of the total sales volume in 2008ndash2009 The sales mentioned above are for the top five rated categories of books in the year 2008ndash2009 In 2007ndash2008 the sales of the miscellaneous categories was 15 of the total sales

29 If the increase in the sale of books in the category of Fiction in the year 2008ndash2009 is 400 with respect to previous year then what is the rank of the books in the category of Crime in the year 2007ndash2008 (considering that the sales of the number of books in the miscellaneous categories are equal) A6th B8th C7th D Cannot be determined

30 If the categories of books are ranked in the decreasing order of their sales in 2 years which of these books would rank 6th (the books in the miscellaneous category were not among the top seven for both the years) A Romance B Biography C Religion D Data insufficient

31 If the categories of books are ranked in the decreasing order of their sales in 2 years which of these books would rank 5th (the books in the miscellaneous category were not among the top seven for both the years) A Fiction B Crime C Romance D Cannot be determined

32 In the year 2007ndash2008 if the sale of category Fiction is ranked 6th then the total sale of the books on Crime in that year would be (Consider the total sale of number of books sold in each of the miscellaneous categories as equal)

A 4000 B More than 1000 but less than 4000 C Greater than 4000 D Cannot be determined SET 9 The total consumption of fertilisers in India in 1993ndash1994 was 52 lakh tonnes The total fertiliser market constitutes of 3 types of fertilisers viz nitrogen phosphate and potash In 1993ndash1994 nitrogen accounted for 65 of the total consumption while phosphate and potash were consumed in the ratio 2 1 The total consumption in 1995ndash1996 was 20 less than the total consumption for 1996ndash1997 while it was greater than the total for 1994ndash1995 by 10 The total consumption in 1994ndash1995 was 6 more than that in 1993ndash1994 The consumption of nitrogen fertiliser grew at a steady rate of 5 per annum over the previous years consumption The government has projected a 25 increase in total consumption in 1997ndash1998 over the 1996ndash1997 level The estimated production for 1997ndash1998 is 87 lakh tonnes

33 The individual consumption of nitrogen phosphate and potash fertiliser respectively in 1993ndash1994 (in lakh tonnes) were A31 14 7 B34 12 6 C28 16 8 D37 10 5

34 The total consumption of fertilisers in 1996ndash1997 was (in lakh tonnes) A6834 B7249 C8013 D7579

35 If the government was to import fertilisers to the extent of shortfall in production visndashandashvis the estimated consumption the total imports in 1997ndash1998 would amount to (in lakh tonnes) A984 B657 C777 D847

36 What percentage of the total consumption was attributed to nitrogen fertilisers in 1994ndash1995 A6439 B6573 C6017 D6247 SET 10 There are five friends A B C D and E The monthly salaries of A B C and D are Rs13000 Rs15000 Rs16000 and Rs20000 respectively The monthly salary of E is equal to the average salary of his other four friends The monthly savings of A is 10 of his monthly salary The monthly savings of B and C are equal and the same as 75 of the monthly savings of E D saves Rs1700 per month which is 85 of monthly savings of E

37 Find the monthly salary of E ARs13000 BRs12800 CRs32000 D None of these

38 How much does E save per month ARs1365 BRs2000 CRs1356 D None of these

39 What percent of his income does B save A10 B12 C95 D None of these

40 What is the average of the monthly savings of A B and C ARs1500 BRs1433 CRs2150 DRs2100 SET 11 A took a voluntary retirement on February 1st 2014 and received 10 lakhs as retirement benefits As on that day he also had Rs 3 lakhs in the bank Of the total amount he had 60 was invested in the bank which gives an annual compounded interest of 15 for three years Of the remaining part half was invested in shares which appreciated by 15 in the first year 6 in the second year and depreciated by 10 the next year The remaining part was invested in real estate The real estate values increased by 10 in the first year reduced by 10 in the next year and remained steady in the third year

41 What was the value (in rupees lakhs) of Arsquos investment on February 1st 2015 A 21 lakhs B 1482 lakhs C 1536 lakhs D 1597 lakhs

42 What was the approximate value (kin rupees lakhs) of his investment on 1st February 2017 A 1621 lakhs B 1682 lakhs C 17286 lakhs D 1787 lakhs

43 In which year did the investment show the maximum increase A First B Second C Third D Both (A) and (C) SET 12 A total of 1650 employees is working in a company in different departments The ratio of male employees to female employees in the organisation is 8679 There are total 5 departments in the company ie Product Development Sales and Marketing R amp D and Reinvestment Finance and HR Total 198 males work in Product Development department 18 employees work in Sales and Marketing department in which male to female ratio is 54 In Finance Department 77 males are working and the number of females in this department is 57th of the number of males The number of males in Sales and Marketing department is equal to the number of females in Product Development department The number of males in Finance department is half of the number of males in HR department Male to female ratio in R amp D and Reinvestment department is 1419

44 The number of males in R amp D and Reinvestment department is how much more than females in Product Development

45 Female in R amp D and Reinvestment department is what of the total number of females in the company (approximately)

46 The number of females in Finance department is what percent less than the number of females in Product Development department

SET 13 In a medical college there are 1600 students studying Dentistry and Homeopathy Each student from each course knows one or more languages out of English Hindi and Bengali 45 of the students study Dentistry and the remaining students study Homeopathy Out of the students studying Dentistry boys and girls are in the ratio 53 Out of the boys studying Dentistry 16 know only English 10 know only Hindi and 4 know only Bengali 24 know English as well as Hindi 20 know English as well as Bengali and 14 know Hindi as well as Bengali The remaining boys know all the three languages Out of the girls studying Dentistry 20 know only English 10 know only Hindi and 10 know only Bengali 20 know English as well as Hindi 20 know English as well as Bengali and 10 know Hindi as well as Bengali The remaining girls know all the three languages Out of the students studying Homeopathy boys and girls are in the ratio 47 Out of the boys studying Homeopathy 20 know only English 15 know only Hindi and 5 know only Bengali 15 know English as well as Hindi 25 know English as well as Bengali and 10 know Hindi as well as Bengali The remaining boys know all the three languages Out of the girls studying Homeopathy 15 know only English 15 know only Hindi and 5 know only Bengali 20 know English as well as Hindi 20 know English as well as Bengali and 15 know Hindi as well as Bengali The remaining girls know all the three languages

47 How many students studying Dentistry know only either English or Hindi A198 B117 C270 D156

48 How many students in the college know all the three languages A175 B170 C169 D270

49 What percent of the total number of girls in the college know Bengali A50 B55 C57 D60

50 How many students studying Homeopathy do not know English A198 B270 C288 D292 SET 14 A school has 400 students- boys and girls who are in the ratio of 35 The students speak Hindi English or both the languages 12 of the boys speak only Hindi 22 of the girls speak only English 24 of the total students speak only Hindi and the number of boys speaking both the languages is six times the number of boys speaking only Hindi

51 How many boys speak Hindi 52 How many girls speak only Hindi 53 How many students speak English 54 The number of girls speaking only Hindi is what percent of the total number of students

speaking only Hindi SET 15 People Power Corporation presently employs three Managers (A B and C) and five recruitment agents (D E F G and H) The company is planning to open a new office in San

Jose to manage placement of software professionals in the US It is planning to relocate two of the three managers and three of the five recruitment agents to the office at San Jose As it is an organization which is highly people oriented the management wants to ensure that the individuals who do not function well together should not be made as a part of the team going to the US The following information was available to the HR department of People Power Corporation Managers A and C are at each otherrsquos throat and therefore cannot be sent as a team to the new office C and E are excellent performers in their own right However they do not function together as a team They should be separated D and G have had a major misunderstanding during the last office picnic After the picnic these two have not been in speaking terms and should therefore not be sent as a team D and F are competing for a promotion that is due in another 3 months They should not be a team

55 If D goes to the new office which of the following is (are) true I C cannot go II A cannot go III H must also go A I only B II and III only C I and III only D I II and III

56 If A is to be moved as one of the Managers which of the following cannot be a possible working unit A ABDEH B ABFGH C ABEGH D ABDGH

57 If C and F are moved to the new office how many combinations are possible A 4 B 1 C 3 D 5

58 Given the group dynamics of the Managers and the recruitment agents which of the following is sure to find a berth in the San Jose office A B B H C G D E SET 16 Ghosh Babu took voluntary retirement in Dec 1991 and received a certain amount of money as retirement benefits On Jan 1 1992 he invested the entire amount in shares At the end of the month he sold all his shares and realised 25 profit On Feb 1 he reinvested the entire amount in shares which he sold at the end of the month at a loss of 20 Again he invested the entire amount on Mar 1 in a new company At the end of the month he sold the new company to a friend and realised a profit of 20 in the process He invested the entire amount in shares on Apr 1 which he sold at the end of the month for Rs 108000 incurring a loss of 10

59 What is the amount of retirement benefits received by Ghosh Babu A Rs 108000 B Rs 125000 C Rs 120000 D Rs 100000

60 The percentage profit received by Ghosh Babu between Jan 1 and Apr 30 is A 800 B 1500 C - 1000 D None of these

61 The amount of loss incurred by Ghosh Babu based on his operation in Apr 1992 is A Rs 25000 B Rs 12000 C Rs 20000 D Rs 8000

62 The maximum amount invested by Ghosh Babu in any one month was in A January B February C March D April SET 17 A school consisting of a total of 1560 students has boys and girls in the ratio of 7 5 respectively All the students are enrolled in different types of hobby classes viz Singing Dancing and Painting One-fifth of the boys are enrolled in only Dancing classes Twenty per cent of the girls are enrolled in only Painting classes Ten percent of the boys are enrolled in

only Singing classes Twenty-four per cent of the girls are enrolled in both Singing and Dancing classes together The number of girls enrolled in only Singing classes is two hundred per cent of the boys enrolled in the same One-thirteenth of the boys are enrolled in all the three classes together The respective ratio of boys enrolled in Dancing and Painting classes together to the girls enrolled in the same is 2 1 respectively Ten per cent of the girls are enrolled in only Dancing classes whereas eight per cent of the girls are enrolled in both Dancing and Painting classes together The remaining girls are enrolled in all the three classes together The number of boys enrolled in Singing and Dancing classes together is fifty per cent of the number of girls enrolled in the same The remaining boys are enrolled in only Painting classes

63 Total number of girls enrolled in Singing is approximately what per cent of the total number of students in the school A 37 B 19 C 32 D 26

64 What is the respective ratio of the number of girls enrolled in only Painting classes to the number of boys enrolled in the same A 77 26 B 21 73 C 26 77 D 73 21

65 Number of girls enrolled in only Dancing classes is what per cent of the boys enrolled in the same A 3867 B 3571 C 4183 D 2862

66 What is the total number of boys who are enrolled in Dancing A 318 B 364 C 292 D 434 SET 18 Not surprisingly the growth of the hotel industry is driven by the increase in the number of people using hotels and the increase in per person use of the hotel In 2004 it is expected that there will be 200 million hotel users in India or about 20 per cent of the population will generate Rs 50 billion in hotel revenues Industry revenues should expand from Rs 50 billion to Rs 150 billion by 2008 while the number of users should grow to over 560 million or to about half the population of India in the same period

67 What is the estimated population of India in 2004 A 98 crore B 100 crore C 110 crore D 115 crore

68 What will be the simple average growth rate of population of India in the given period 2004-2008 A 2

B 3 C 4 D 45

69 What will be the growth in percentage of users in India by 2008 A 100 B 150 C 180 D 200

70 What will be the percentage growth of the revenues of the hotel industry in the given period A 200 B 230 C 260 D 300 SET 19 Bihar and Orissa are the most deprived states of India While they contain one-fifth of Indiarsquos population they have almost one-third of Indiarsquos illiterates In 1998 only a small fraction of Orissa and Biharrsquos population was literate versus 85 per cent of Keralarsquos population More than two-thirds of the births are not attended by any medical facility 110th of the infants born in Orissa and Bihar die in infancy and an equal number before reaching the age of five Almost 90 per cent of the under five deaths are due to malnutrition From amongst the lucky kids who have survived for the first five years 13rd of them work as child labourers and only half of the remaining are sent to school Of those who attend classed only 40 per cent are able to reach Std V In India 30 per cent of the children under 16 work as labourers Orissa and Bihar contain 13rd of the child labourers in India India has the largest population of child labourers which is 115th of its total population In Orissa and Bihar out of 100 children enrolled in school 32 are girls And out of 100 who attend Std X only 10 are girls Only 38 out of 100 Indian women are literate versus 57 per cent of males Even in wealthy states such as Punjab girls suffer from malnutrition seven times more than boys do The total population of the country was 90 crore in 1998 and the ratio of male to female in India was 10 to 9

71 According to the information provided what percentage of the infants in Orissa and Bihar attend Std V A 1133 B 1066 C 1333 D 1233

72 The number of child labourers in India in 1998 are A 15 crore B 16 crore C 12 crore D 6 crore

73 The Orissa and Bihar out of 100 born approximately how many children work as child labourers A 27 B 32 C 13 D 38

74 What percentage of girl children enrolled in school reach Std X in Orissa and Bihar

A 10 B 32 C 60 D Insufficient data SET 20 AMS Inc is the leader in selling ideas universe wide but its maximum revenue comes from three principal planets only viz Earth Mars Jupiter Further it has three products viz CSP CC and CP In a particular year the number of units sold had a distribution as follows The number of units of CCs sold on Mars was 12 per cent of the number of units of CPs sold on Earth The number of units of CPs sold on Jupiter was 1000 Total number of CC units sold was 2600 Total number of CP units was 200 higher than that of the total number of units of CCs sold The number of units of CSP sold on Mars was 10 per cent of the number of units of CP sold on Jupiter The number of units of CSP sold on Earth was 2000 The number of units of CC sold on Earth was 15 per cent of the number of units CSP sold on Jupiter The prices of the units on the different planets were as follows Earth rarr Rs 15 per unit Mars rarr Rs 10 per unit Jupiter rarrRs 8 per unit The number of units of CSP sold on Jupiter was 300 The number of units of CP sold on Earth was 600

75 The number of units of CC sold on Jupiter is A 1520 B 2483 C 3423 D 600

76 The revenue generated on Earth is greater than that generated on Jupiter by about A Rs 8000 B Rs 9000 C Rs 10000 D None of these

77 The overall revenue generated is the highest from A CSPs B CP C CCs D Canrsquot be determined SET 21 An organization consists of 3500 employees working in different departments viz HR Marketing IT Production and Accounts The ratio of male to female employees in the organisation is 3 2 8 of the males work in the HR department 22 of the female work in the account department The ratio of males to females working in the HR department is 3 5 Oneseventh of the females work in the IT department 46 of the males work in the

Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

78 The number of males working in the Account department forms approximately what percent of the total number of males in the organisation A 6 B 8 C 10 D 11

79 How many females work in Production department A 140 B 200 C 180 D None

80 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A 28 B 32 C 29 D 31

81 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A 15 8 B 1 2 C 8 15 D 2 1

SET 22 A B and C started a business by investing Rs 800 Rs 1600 and Rs 2000 respectively After a quarter they invested amounts in a ratio 1 4 2 After another quarter they invested amounts in ratio 3 2 3In the last quarter the ratio of investments was same as in 2nd quarter Also in the last quarter the respective amounts of A B and C was double than the respective amounts invested in 2nd quarter The total investment of C before 4th quarter was Rs 1400 more than that of A during same duration Also ratio of Brsquos share in profit to total profit at the end of year was 66 153

82 Find the total investment of A B and C A Rs 10200 B Rs 11300 C Rs 9800 D Rs 10080

83 If they respectively had invested same amounts in each quarter after quarter 1 which is equal to their respective investments in quarter 1 then what would be the profit of A at the end of year out of a total profit of Rs 19350 A Rs 2510 B Rs 3320 C Rs 2560 D Rs 3150

84 If the respective investments in third quarter was changed and this was in ratio 2 4 1 (other investments being the same) then what would be the total investment of all three in third quarter if the average investment of all A B and C was Rs 3100 for whole year A Rs 500 B Rs 800 C Rs 700 D Rs 900 SET 23 The total population of village satana is 3550 out of which 36 people are below poverty line The total population of Satana is 11 frac14 less than the total population of amin while there are 29 people in amin who lives below poverty line In Nilokheri the people living below poverty line are 40 more than that in amin which is 40 of the total population of this village The average population of Gharaunda and Samalkha is equal to the average population of amin and Nilokheri while the difference between their population is 1800 (Village Samalkha is more populated) 47 of the population of Gharaunda are below poverty line Overall 46 of the population of all villagesrsquo together lives below poverty line

85 What percent of population of Samalkha lives above poverty line (Approximate) A 26 B 27 C 28 D 29

86 Find the approximate average no of people below poverty line in the given villages A 1610 B 1620 C 1615 D 1320

87 If 35 of the BPL population of Nilokheri are children while 30 of the overall population of this village are children Then what percent of population above poverty line are children A 25 B 30 C 26 13 D 26 23

88 What is the difference between total population of Nilokheri and that of Gharaunda A 300 B 200 C 250 D 400

SET 24

Gaurav a sweet seller bought some quantity of three types of sweets Rasgulla Rasmalai and Kalakand in ratio of 6 10 9 Kalakand costed him a total of Rs 18900 at rate of 420 per kg By selling Kalakand at a discount of 5 he earned a profit of 13 221 On Rasmalai (which was marked Rs 500 per kg) he earned Rs 5 less profit per kg as compared to that on Kalakand by selling Rasmalai at 10 discount Gaurav spent a total of Rs 46400 on buying these sweets while he earned a total profit of Rs 5875 on selling all bought sweets Rasgullas were marked 40 above cost price per kg

89 What is the difference between the number of Accord cars sold by dealers D and E together

and the number of City cars sold by dealers B and F together A 3658 B 3712 C 4205 D 3252

90 If Gaurav gave an extra discount of 20 on Kalakand then his gain or loss was

A 9 11

21 profit B 8

11

21 loss C 10

11

23 loss D 9

11

21 loss

91 Find the total quantity of sweets bought by Gaurav A 135 kg B 126 kg C 125 kg D 120 kg

92 If 10kg of Rasmalai was wasted away due to some reason Find profit or loss by selling the remaining Rasmalai as per given condition A 10 loss B 10 gain C 12 loss D 15 loss SET 25 An organization consists of 3500 employees working in different departments viz HR Marketing IT Production and Accounts The ratio of male to female employees in the organisation is 3 2 8 of the males work in the HR department 22 of the female work in the account department The ratio of males to females working in the HR department is 3 5 One-seventh of the females work in the IT department 46 of the males work in the Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

93 The number of males working in the Account department forms approximately what per cent of the total number of males in the organisation A 6 B8 C10 D11

94 How many females work in Production department A 140 B200 C180 DNone of these

95 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A28 B30 C29 D31

96 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A158 B12 C815 D21 SET 26

In the recently held Commonwealth Games a total number of 500 players participated in five different games viz Athletics Hockey Lawn Tennis Rugby and Badminton 15 of the total players participated in Badminton 25 of the total players participated in Hockey 6 of the total players participated in Lawn Tennis and 25 of the total players participated in Athletics The remaining players participated in Rugby One-fourth of the Hockey players are females 20 of the Badminton players are males Half of the players who participated in Lawn Tennis are males There are 55 female athletes No female player participated in Rugby

97 The number of female players who participated in Badminton is approximately what per cent of the total number of players who participated in Rugby A82 B80 C86 D76

98 What is the difference between the number of male players who participated in Hockey and the number of female players who participated in Lawn Tennis A125 B145 C130 D135

99 If due to certain reason Athletics was dropped and all the athletes left the tournament then what was the percentage of male players among the total players remaining in the tournament A4566 B4033 C3533 DNone of these

100 What is the ratio of the total number of male players participating in Badminton to the total number of female players participating in Hockey A353 B310 C510 D325 SET 27 The premises of an institute are to be renovated Only the floor is to be renovated either with marble or with wood All rooms halls and pantry are rectangular The area to be renovated comprises a hall measuring 33m by 39m The directorrsquos room measures 13m by 12m and the pantry measures 14m by 12m A record keeping-cum-server room measures 23m by 13m and the accounts room measures 12m by 23m The total area of the institute is 2500 square metres The cost of wooden flooring is Rs 170 per square metre and the cost of marble flooring is Rs 190 per square metre The accounts room the record keeping-cum-server room and the pantry are to be floored with marble The directorrsquos room and the hall are to be floored with wood

101 What is the ratio of the total cost of wooden flooring to the total cost of marble flooring A 1443 735 B 8177 4655 C 1443 4655 D 24531 14117

102 If four walls and ceiling of the room (the height of the room is 15 metres) are to be painted at the cost of Rs 190 per square metre how much will be the total cost of renovation of the directorrsquos room including the cost of flooring A 198660 B 178680 C 198880 D 22876

103 If the remaining area of the institute is to be carpeted at the rate of Rs 210 per square metre by how much will the cost of renovation of institute premises increase A 75000 B72840 C65940 D 75940

104 What is the percentage area of the institute that is not to be renovated A1644 B1356 C1455 D1256

SET 28 A total of 1650 students are studying in an engineering college in different departments The ratio of male students to female students in the college is 8679 The college had a total of 5 departments which are mechanical civil electrical Biotechnology and computer science Total 198 males study in the mechanical department 18 students study in the civil department in which male to female ratio is 54 In the biotechnology department 77 male students are studying and the number of female students in this department is 57th of the number of males The total number of male students in the civil department is equal to the number of female students in the mechanical department The number of males in biotechnology department is half of the number of total male students in computer science department In the electrical department the male to female ratio is 1419

105 The number of male students in electrical department is how much more than female students in mechanical

106 Female students in electrical department is what of the total number of females in the college (approximately) SET 29 During the period 1990-91 to 1994-95 the unit sales of Motorcycles witnessed a simple average growth rate of 45 and the unit price experienced a simple average growth rate of 41 In the year 1990-91 amp 1992-93 the selling price of motorcycle was Rs 50000 The unit selling price rose by Rs 2500 each in the years 1991-92 and 1994-95 Between 1990-91 and 1992-93 unit sales increased by 155 In 1992-93 approx 2888 units and in 1993-94 3000 units were sold In 1991-92 the sales increased by Rs 1281 crore and number of units sold increased by 125

107 The rupee sales of the motorcycles in 1990-91 is A Rs 180crore B Rs 125crore C Rs 135crore D Rs 100crore

108 How many motorcycles were sold in 1991-92 A 2500 B 2625 C 3050 D 4000

109 How many motorcycles were sold during the period 1990-91 to 1994-95 A 15025 B 14005 C 14076 D 15000

110 What is the selling price of a motorcycle in 1993-94 A Rs 50000 B Rs 52500 C Rs 57750 D Rs 60000

SET 30 Mlon huskthe space Y inventor took his team of scientist to newly found planetrdquoEuro Chandrdquo The team agreed on the condition that they will not do any research during their visit but will only do rest But Husk as per his nature observed various phenomenon on new planet including the gravitational pull He observed that a kg on earth is equivalent to 12 kg on Euro chand except kg on new planet is called Euroc Slen weighs 552 Euroc weighs heavier than all except Plen who weighs 108 Euroc more Olen the lightest weighs 252 Euroc less than Dlen Jlen weighs 48 Euroc less than Slen and 48 Euroc more than Dlen

111 What is the weight of Plen (in Kg) A55 B46 C17 D48

112 What is the weight of Olen (in Euronc ) A505 B246 C218 D204

113 Approximately how many times is the weight of Plen that of Dlen A145 B107 C218 D214

114 Weight of Dlen is what moreless than weight of Jlen

A111 B108 C95 D121 SET 31 In a MNC there are 5000 employees In that there are 6 departments ie Accounts department maintenance-admin department HR department production department RampD department marketing department In maintenance- admin department there is 15 of total number of employees In that 40 are females Total number of persons working in RampD department is equal to total number of males working in maintenance department Male to female ratio of RampD is 45In production department 1500 persons are working there are males only In HR department the number of persons working is 15 of number of persons working in production department where 80 are females The number of people working in Accounts department is 60 of production department in that number of females are 550 The number of female in marketing department 500

115 Total number of males in RampD department is what percentage of total number of males in the marketing department A50 B 375 C 33 13 D1007

116 What is the percentage increasedecrease in total number of females in HR department to the total number of males in maintenance ndash admin department A5334 increase B5334 decrease C4666 increase D4666decrease

117 What is the difference between total number of males in marketing department to total number of females in the accounts department A75 B50 C60 D90

118 What is the ratio of total number of males in HR department to the total number of females in maintenance ndash admin department A15 B27 C35 D47 SET 32

According to A the census has been taken by the Government for literacy rate in two villages

A and B total population is 6 00000 In which the ratio between total numbers of males to

total number of females is 53 and the ratio of total population in village A to village B is 1713

The ratio of number of males in village A to number of males in village B is 78Total Ratio of

literate to illiterate (in men) 41 Out of total women only 35 are literates Total percentage

of adults is 80 ( m f = 53) in total population and in remaining 10 are children all other

peoples are senior citizens

119 What is the difference between literate people to total number of senior citizens

A378750 B78750 C270750 D221250

120 Total number of literate males in village A (if 45 of literate males are in Village A) is what percentage of total number of illiterate Females (Approximately) A97 B92 C89 D85

121 What is the ratio of males in village B to Adult females in the survey A54 B45 C910 D109

122 What is the increasedecrease in percentage of total number children to the

difference between the populations of village A to village B

A85 decrease B 85 increase C 95 increase D95 decrease

SET 33 Acity consists of 2400 employees working in different IT companies viz TCS Infosys Wipro Tech Mahindra and Oracle The ratio of male to female employees in the city is 5 3 respectively Twelve per cent of the males work in the TCS Company Twenty four per cent of the females work in the Oracle Company The ratio of males to females working in the TCS company is 6 11 respectively One-ninth of the females work in the Wipro Company Forty two percent of the males work in the Tech Mahindra Company Number of females working in the Tech Mahindra Company is ten percent of the males working in the same The remaining females work in the Infosys Company The total number of employees working in the Wipro Company is 285 Twenty two percent of the males work in the Infosys Company and the remaining work in the Oracle Company

123 The number of females working in the Tech Mahindra Company TCS Company and Infosys company together forms what percent of the total number of females in the City A6488 B5765 C 4896 D7527

124 The total number of females working in the TCS and Infosys Company together

forms what percent of the total number of employees in Tech Mahindra Company

A7018 B8047 C 7526 D7518

125 What is the difference between the number of males in Infosys Company and

number of females to the Oracle Company together to the number of males in Tech

Mahindra Company and number of females to the TCS Company together

A434 B427 C404 D414

126 The number of males working in the Wipro Company and the number of females

working in the Infosys Company together forms approximately what percent of the total

number of males in the City (Rounded off the nearest percentage)

A50 B25 C21 D18

SET 34

A School consisting of a total of 1560 students has boys and girls in the ratio of 7 5

respectively All the students are enrolled for different country tours viz Russia Switzerland

and Japan One-fifth of the boys are enrolled for only Switzerland tour Twenty percent of

the girls are enrolled for only Japan tour Ten percent of the boys are enrolled for only Russia

tour Twenty four percent of the girls are enrolled for both Russia and Switzerland tour

together The number of girls enrolled for only Russia tour is two hundred percent of the

boys enrolled in the same One-thirteenth of the boys are enrolled for all the three tour

together The respective ratio of boys enrolled for Switzerland and Japan tour together to

the girls enrolled for the same is 2 1 respectively Ten percent of the girls are enrolled for

only Switzerland tour whereas eight percent of the girls are enrolled for both Switzerland

and Japan tour together The remaining girls are enrolled for all the three tour together The

number of boys enrolled for Russia and Switzerland tour together is fifty percent of the

number of girls enrolled for the same The remaining boys are enrolled for only Japan tour

127 What is the respective ratio of the number of girls enrolled for only Japan tour and

number of boys enrolled for Switzerland tour together to the number of boys enrolled for

the Japan tour and number of girls enrolled for Switzerland tour together

A7752 B7552 C5275 D5277

128 Number of girls enrolled for only Switzerland Russia and Japantour together is what

percent of the boys together enrolled for the same (Rounded off to two digits after

decimal)

A3757 B5729 C6193 D5522

129 What is the total number of students enrolled for all the three tour and number of

girls enrolled for Switzerland and Russia tour together and number of boys enrolled for

Switzerland and Japan tour together

A395 B2415 C385 D390

130 What is the sum of the total number of boys who are enrolled for Switzerland and

the total number of girls who are enrolled for same tour together

A872 B752 C802 D772

SET 35

A radio station surveyed 200 students to determine the types of music they liked There are

three types of music rock music folk music and classical music The survey revealed that 57

percent liked rock music 25 percent liked folk music and 205 percent liked classical music 14

students liked rock music and folk music 15 students liked rock music and classical music 6

students liked only classical music and folk music 90 of them liked only rock music

131 How many of them liked folk music but not rock music

A36 B41 C30 D44

132 How many of them liked any two types of music only

A15 B16 C19 D25

133 How many students did not like any of the three types

A35 B40 C30 D25

134 What is the ratio of who liked rock and classical music together to the ratio of who

liked only folk music

A51 B3110 C316 D125

SET 36

In a shopping mall there are three different varieties of dress materials Cotton Silk and

Chiffon There are 300 customers visited the Shop 50 of customers purchased Cotton

material 40 of customers purchased Chiffon material and 60 of customers purchased Silk

material The customers who purchased any of two dress materials are 90 20 of

customers who purchased Cotton also purchased other two materials The customers who

purchased only Silk material are 20 more than that of who purchased only Chiffon material

30 Customers are purchased only Silk and Chiffon material

135 How many of them purchased only one variety of dress material

A150 B180 C120 D160

136 How many of them purchased at least two types of dress materials

A90 B100 C120 D140

137 What is the percentage of the customers who purchased only Silk material to that of

the customers who purchased all types of dress material

A30043 B30553 C35523 D23333

138 How many of them did not purchase any of the three types of materials

A10 B15 C5 D None

SET 37

In a sports event six teams (A B C D E and F) are competing against each other Matches

are scheduled in two stages Each team plays three matches in stage ndash I and two matches in

Stage ndash II No team plays against the same team more than once in the event No ties are

permitted in any of the matches The observations after the completion of Stage ndash I and

Stage ndash II are as given below

Stage-I

bull One team won all the three matches

bull Two teams lost all the matches

bull D lost to A but won against C and F

bull E lost to B but won against C and F

bull B lost at least one match

bull F did not play against the top team of Stage-I

Stage-II

bull The leader of Stage-I lost the next two matches

bull Of the two teams at the bottom after Stage-I one team won both matches while the

other lost both matches

bull One more team lost both matches in Stage-II

139 The two teams that defeated the leader of Stage-I are

A F amp D B E amp F C B amp D D E amp D

140 The only team(s) that won both matches in Stage-II is (are)

A B B E amp F C A E amp F D B E amp F

141 The teams that won exactly two matches in the event are

A A D amp F B D amp E C E amp F D D amp F

142 The team(s) with the most wins in the event is (are)

A A B A amp C C B amp E D E

SET 38

Two traders Chetan and Michael were involved in the buying and selling of MCS shares

over five trading days At the beginning of the first day the MCS share was priced at ₹100

while at the end of the fifth day it was priced at ₹110 At the end of each day the MCS share

price either went up by ₹10 or else it came down by ₹10 Both Chetan and Michael took

buying and selling decisions at the end of each trading day The beginning price of MCS share

on a given day was the same as the ending price of the previous day Chetan and Michael

started with the same number of shares and amount of cash and had enough of both

Below are some additional facts about how Chetan and Michael traded over the five trading

days

middot Each day if the price went up Chetan sold 10 shares of MCS at the closing price On the

other hand each day if the price went down he bought 10 shares at the closing price

middot If on any day the closing price was above ₹110 then Michael sold 10 shares of MCS

while if it was below ₹90 he bought 10 shares all at the closing price

143 If Chetan sold 10 shares of MCS on three consecutive days while Michael sold 10

shares only once during the five days what was the price of MCS at the end of day 3

A ₹ 90 B ₹100 C ₹110 D ₹120

144 If Chetan ended up with ₹1300 more cash than Michael at the end of day 5 what

was the price of MCS share at the end of day 4

A ₹90 B ₹100 C ₹110 D₹120

145 If Michael ended up with 20 more shares than Chetan at the end of day 5 what was

the price of the share at the end of day 3

A₹90 B ₹100 C ₹110 D ₹120

146 If Michael ended up with ₹100 less cash than Chetan at the end of day 5 what was

the difference in the number of shares possessed by Michael and Chetan (at the end of day

5)

A Michael had 10 less shares than Chetan

B Michael had 10 more shares than Chetan

C Chetan had 10 more shares than Michael

D Both had the same number of shares

SET 39

Bankatlal acted as a judge for the beauty contest There were four participants viz Ms

Andhra Pradesh Ms Uttar Pradesh Ms West Bengal and Ms Maharashtra Mrs Bankatlal

who was very anxious about the result asked him about it as soon as he was back home

Bankatlal just told that the one who was wearing the yellow saree won the contest When

Mrs Bankatlal pressed for further details he elaborated as follows

I All of them were sitting in a row

II All of them wore sarees of different colors viz Green Yellow White Red

III There was only one runner up and she was sitting beside Ms Maharashtra

IV The runner up was wearing the Green saree

V Ms West Bengal was not sitting at the ends and was not a runner up

VI The winner and the runner up are not sitting adjacent to each other

VII Ms Maharashtra was wearing white saree

VIII Ms Andhra Pradesh was not wearing the Green saree

IX Participants wearing Yellow saree and White saree were at the ends

147 Who wore the Red saree A Ms Andhra Pradesh B Ms West Bengal C Ms Uttar Pradesh D Ms Maharashtra

148 Ms West Bengal was sitting adjacent to A Ms Andhra Pradesh and Ms Maharashtra B Ms Uttar Pradesh and Ms Maharashta C Ms Andhra Pradesh and Ms Uttar Pradesh D Ms Uttar Pradesh only

149 Which saree was worn by Ms Andhra Pradesh A Yellow B Red C Green D White

150 Who was the runner up

A Ms Andhra Pradesh B Ms West Bengal

C Ms Uttar Pradesh D Ms Maharashta

SET 40

Ghosh Babu goes to a casino in Kay - Kay islands where he comes across an interesting game

of cards The visitor playing the game is called the player amp the clubman is called the dealer

The rules of the game are as follows First the player picks the card This card is called the

base card amp the number on the face of the card is called the base value of the card Ace

King Queen amp Jack all have base value of 10 The dealer pays the player same number of

rupees as the base value of the card Now the dealer picks a card amp This is called the top

card If topcard is of the same suite then the player pays the dealer double the amount of

base value If it is of the same colour but not the same suite then the player pays the dealer

the amount of a bse value If it is of different colour then the dealer pays the player the

amount of base value Ghosh Babu plays the game 4 times First time he draws 8 of club amp

the dealer draws jack of club Second time he draws 10 of hearts amp the dealer draws 2 of

spade Third time he draws 6 of diamond amp the dealer draws 1 of heart Finally Ghosh Babu

draws 8 of spade and the dealer draws ace of the spade

151 If Ghosh Babu should leave the game when his profit is maximum then what is that

profit

A 12 B 18 C 20 D None of these

152 If Ghosh Babu did not have to borrow any money from anyone then what is the

minimum amount that he could have started with

A 16 B 24 C 8 D None of these

153 If Ghosh Babu is left with 100 rupees now what is the amount that he had started

with

A 120 B 104 C 96 D None of these

SET 41

Twenty one participants from four continents (Africa Americas Australasia and Europe)

attended a United Nations conference Each participant was an expert in one of four fields

labour health population studies and refugee relocation The following five facts about the

participants are given

I The number of labour experts in the camp was exactly half the number of experts in each

of the three other categories

II Africa did not send any labour expert Otherwise every continent including Africa sent at

least one expert for each category

III None of the continents sent more than three experts in any category

IV If there had been one less Australasian expert then the America would have had twice

many experts as each of the other continents

V Mike and Alfanso are leading experts of population studies who attended the conference

They are from Australasia

154 Which of the following numbers cannot be determined from the information given

A Number of labour experts from the Americas

B Number of health experts from Europe

C Number of health experts from Australasia

D Number of experts in refugee relocation from Africa

155 Which of the following combinations is NOT possible

A 2 experts in population studies from the Americas and 2 health experts from Africa

attended the conference

B 2 experts in population studies from the Americas and 1 health expert from Africa

attended the conference

C 3 experts in refugee relocation from the Americas and 1 health expert from Africa

attended the conference

D Africa and America each had 1 expert in population studies attending the conference

156 If Ramos is the lone America expert in population studies which of the following is

NOT true about the numbers of experts in the conference from the four continents

A There is one expert in health from Africa

B There is one expert in refugee relocation from Africa

C There are two experts in health from the Americas

D There are three experts in refugee relocation from the Americas

157 Alex an American expert in refugee relocation was the first keynote speaker in the

conference What can be inferred about the number of American experts in refugee

relocation in the conference excluding Alex (i) At least one (ii) Atmost two

A Only (i) and not (ii) B Only (ii) and not (i)

C Both (i) and (ii) D Neither (i) nor (ii)

SET 42

Help Distress (HD) is an NGO involved in providing assistance to people suffering from

natural disasters Currently it has 37 volunteers They are involved in three projects

Tsunami Relief (TR) in Tamil Nadu Flood Relief (FR) in Maharashtra and Earthquake Relief

(ER) in Gujarat Each volunteer working with Help Distress has to be involved in at least one

relief work project

bull A Maximum number of volunteers are involved in the FR project Among them the

number of volunteers involved in FR project alone is equal to the volunteers having

additional involvement in the ER project

bull The number of volunteers involved in the ER project alone is double the number of

volunteers involved in all the three projects

bull 17 volunteers are involved in the TR project

bull The number of volunteers involved in the TR project alone is one less than the number of

volunteers involved in ER project alone

bull Ten volunteers involved in the TR project are also involved in at least one more project

158 Based on the information given above the minimum number of volunteers involved

in both FR and TR projects but not in the ER project is

A 1 B 3 C 4 D 5

159 Which of the following additional information would enable to find the exact

number of volunteers involved in various projects

A Twenty volunteers are involved in FR B Four volunteers are involved in all the three projects C Twenty three volunteers are involved in exactly one project D No need for any additional information

160 After some time the volunteers who were involved in all the three projects were

asked to withdraw from one project As a result one of the volunteers opted out of the TR

project and one opted out of the ER project while the remaining ones involved in all the

three projects opted out of the FR project Which of the following statements then

necessarily follows

A The lowest number of volunteers is now in TR project B More volunteers are now in FR project as compared to ER project C More volunteers are now in TR project as compared to ER project D None of the above

161 After the withdrawal of volunteers as indicated in Question 85 some new

volunteers joined the NGO Each one of them was allotted only one project in a manner such

that the number of volunteers working in one project alone for each of the three projects

became identical At that point it was also found that the number of volunteers involved in

FR and ER projects was the same as the number of volunteers involved in TR and ER projects

Which of the projects now has the highest number of volunteers

A ER B FR C TR D Cannot be determined

SET 43

Mathematicians are assigned a number called Erdoumls number (named after the famous

mathematician Paul Erdoumls) Only Paul Erdoumls himself has an Erdoumls number of zero Any

mathematician who has written a research paper with Erdoumls has an Erdoumls number of 1 For

other mathematicians the calculation of hisher Erdoumls number is illustrated below

Suppose that a mathematician X has co-authored papers with several other mathematicians

From among them mathematician Y has the smallest Erdoumls number Let the Erdoumls number

of Y be y Then X has an Erdoumls number of y + 1 Hence any mathematician with no co-

authorship chain connected to Erdoumls has an Erdoumls number of infinity In a seven day long

mini-conference organized in memory of Paul Erdoumls a close group of eight mathematicians

call them A B C D E F G and H discussed some research problems At the beginning of the

conference A was the only participant who had an infinite Erdoumls number Nobody had an

Erdoumls number less than that of F

bull On the third day of the conference F co-authored a paper jointly with A and C This

reduced the average Erdoumls number of the group of eight mathematicians to 3 The Erdoumls

numbers of B D E G and H remained unchanged with the writing of this paper Further no

other co-authorship among any three members would have reduced the average Erdoumls

number of the group of eight to as low as 3

bull At the end of the third day five members of this group had identical Erdoumls numbers while

the other three had Erdoumls numbers distinct from each other

bull On the fifth day E co-authored a paper with F which reduced the grouprsquos average Erdoumls

number by 05 The Erdoumls numbers of the remaining six were unchanged with the writing of

this paper

bull No other paper was written during the conference

162 The Erdoumls number of C at the end of the conference was

A 1 B 2 C 3 D 4

163 The Erdoumls number of E at the beginning of the conference was

A 5 B 6 C 7 D 8

164 How many participants had the same Erdoumls number at the beginning of the

conference

A 2 B 3 C 4 D 5

SET 44

K L M N P Q R S U and W are the only ten members in a department There is a proposal

to form a team from within the members of the department subject to the following

conditions

bull A team must include exactly one among P R and S

bull A team must include either M or Q but not both

bull If a team includes K then it must also include L and vice versa

bull If a team includes one among S U and W then it must also include the other two

bull L and N cannot be members of the same team

bull L and U cannot be members of the same team

The size of a team is defined as the number of members in the team

165 Who can be a member of a team of size 5

A K B L C M D P

166 Who cannot be a member of a team of size 3

A L B M C N D P

167 What could be the size of a team that includes K

A 2 or 3 B 2 or 4 C 3 or 4 D Only 4

168 In how many ways a team can be constituted so that the team includes N

A 2 B 3 C 4 D 6

SET 45

(i) There are three houses on each side of the road

(ii) These six houses are labeled as P Q R S T and U

(iii) The houses are of different colours namely Red Blue Green Orange Yellow and

White

(iv) The houses are of different heights

(v) T the tallest house is exactly opposite to the Red coloured house

(vi) The shortest house is exactly opposite to the Green coloured house

(vii) U the Orange coloured house is located between P and S

(viii) R the Yellow coloured house is exactly opposite to P

(ix) Q the Green coloured house is exactly opposite to U

(x) P the White coloured house is taller than R but shorter than S and Q

169 Which is the second tallest house

A P B S C Q D cannot be determined

170 What is the colour of the house diagonally opposite to the Yellow coloured house

A White B Blue C Green D Red

171 What is the colour of the tallest house

A Red B Blue C Green D Yellow

SET 46

A leading socialite decided to organise a dinner and invited a few of her friends Only the

host and the hostess were sitting at the opposite ends of a rectangular table with three

persons along each side The pre-requisite for the seating arrangement was that each person

must be seated such that atleast on one side it has a person of opposite sex Maqbool is

opposite Shobha who is not the hostess Ratan has a woman on his right and is sitting

opposite a woman Monisha is sitting to the hostessrsquos right next to Dhirubhai One person is

seated between Madhuri and Urmila who is not the hostess The men were Maqbool Ratan

Dhirubhai and Jackie while the women were Madhuri Urmila Shobha and Monisha

172 The eighth person present Jackie must be I the host II seated to Shobarsquos right III

seated opposite Urmila

A I only B III only C I and II only D II and III only

173 Which of the following persons is definitely not seated next to a person of the same

sex

A Maqbool B Madhuri C Jackie D Shobha

174 If Ratan would have exchanged seats with a person four places to his left which of

the following would have been true after the exchange

I No one was seated between two persons of the opposite sex (eg no man was seated

between two women)

II One side of the table consisted entirely of persons of the same sex

III Either the host or the hostess changed seats

A I only B II only C I and II only D II and III only

175 If each person is placed directly opposite his or her spouse which of the following

pairs must be married

A Ratan and Monisha B Madhuri and Dhirubhai

C Urmila and Jackie D Ratan and Madhuri

SET 47

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

A 4000 B More than 1000 but less than 4000 C Greater than 4000 D Cannot be determined SET 9 The total consumption of fertilisers in India in 1993ndash1994 was 52 lakh tonnes The total fertiliser market constitutes of 3 types of fertilisers viz nitrogen phosphate and potash In 1993ndash1994 nitrogen accounted for 65 of the total consumption while phosphate and potash were consumed in the ratio 2 1 The total consumption in 1995ndash1996 was 20 less than the total consumption for 1996ndash1997 while it was greater than the total for 1994ndash1995 by 10 The total consumption in 1994ndash1995 was 6 more than that in 1993ndash1994 The consumption of nitrogen fertiliser grew at a steady rate of 5 per annum over the previous years consumption The government has projected a 25 increase in total consumption in 1997ndash1998 over the 1996ndash1997 level The estimated production for 1997ndash1998 is 87 lakh tonnes

33 The individual consumption of nitrogen phosphate and potash fertiliser respectively in 1993ndash1994 (in lakh tonnes) were A31 14 7 B34 12 6 C28 16 8 D37 10 5

34 The total consumption of fertilisers in 1996ndash1997 was (in lakh tonnes) A6834 B7249 C8013 D7579

35 If the government was to import fertilisers to the extent of shortfall in production visndashandashvis the estimated consumption the total imports in 1997ndash1998 would amount to (in lakh tonnes) A984 B657 C777 D847

36 What percentage of the total consumption was attributed to nitrogen fertilisers in 1994ndash1995 A6439 B6573 C6017 D6247 SET 10 There are five friends A B C D and E The monthly salaries of A B C and D are Rs13000 Rs15000 Rs16000 and Rs20000 respectively The monthly salary of E is equal to the average salary of his other four friends The monthly savings of A is 10 of his monthly salary The monthly savings of B and C are equal and the same as 75 of the monthly savings of E D saves Rs1700 per month which is 85 of monthly savings of E

37 Find the monthly salary of E ARs13000 BRs12800 CRs32000 D None of these

38 How much does E save per month ARs1365 BRs2000 CRs1356 D None of these

39 What percent of his income does B save A10 B12 C95 D None of these

40 What is the average of the monthly savings of A B and C ARs1500 BRs1433 CRs2150 DRs2100 SET 11 A took a voluntary retirement on February 1st 2014 and received 10 lakhs as retirement benefits As on that day he also had Rs 3 lakhs in the bank Of the total amount he had 60 was invested in the bank which gives an annual compounded interest of 15 for three years Of the remaining part half was invested in shares which appreciated by 15 in the first year 6 in the second year and depreciated by 10 the next year The remaining part was invested in real estate The real estate values increased by 10 in the first year reduced by 10 in the next year and remained steady in the third year

41 What was the value (in rupees lakhs) of Arsquos investment on February 1st 2015 A 21 lakhs B 1482 lakhs C 1536 lakhs D 1597 lakhs

42 What was the approximate value (kin rupees lakhs) of his investment on 1st February 2017 A 1621 lakhs B 1682 lakhs C 17286 lakhs D 1787 lakhs

43 In which year did the investment show the maximum increase A First B Second C Third D Both (A) and (C) SET 12 A total of 1650 employees is working in a company in different departments The ratio of male employees to female employees in the organisation is 8679 There are total 5 departments in the company ie Product Development Sales and Marketing R amp D and Reinvestment Finance and HR Total 198 males work in Product Development department 18 employees work in Sales and Marketing department in which male to female ratio is 54 In Finance Department 77 males are working and the number of females in this department is 57th of the number of males The number of males in Sales and Marketing department is equal to the number of females in Product Development department The number of males in Finance department is half of the number of males in HR department Male to female ratio in R amp D and Reinvestment department is 1419

44 The number of males in R amp D and Reinvestment department is how much more than females in Product Development

45 Female in R amp D and Reinvestment department is what of the total number of females in the company (approximately)

46 The number of females in Finance department is what percent less than the number of females in Product Development department

SET 13 In a medical college there are 1600 students studying Dentistry and Homeopathy Each student from each course knows one or more languages out of English Hindi and Bengali 45 of the students study Dentistry and the remaining students study Homeopathy Out of the students studying Dentistry boys and girls are in the ratio 53 Out of the boys studying Dentistry 16 know only English 10 know only Hindi and 4 know only Bengali 24 know English as well as Hindi 20 know English as well as Bengali and 14 know Hindi as well as Bengali The remaining boys know all the three languages Out of the girls studying Dentistry 20 know only English 10 know only Hindi and 10 know only Bengali 20 know English as well as Hindi 20 know English as well as Bengali and 10 know Hindi as well as Bengali The remaining girls know all the three languages Out of the students studying Homeopathy boys and girls are in the ratio 47 Out of the boys studying Homeopathy 20 know only English 15 know only Hindi and 5 know only Bengali 15 know English as well as Hindi 25 know English as well as Bengali and 10 know Hindi as well as Bengali The remaining boys know all the three languages Out of the girls studying Homeopathy 15 know only English 15 know only Hindi and 5 know only Bengali 20 know English as well as Hindi 20 know English as well as Bengali and 15 know Hindi as well as Bengali The remaining girls know all the three languages

47 How many students studying Dentistry know only either English or Hindi A198 B117 C270 D156

48 How many students in the college know all the three languages A175 B170 C169 D270

49 What percent of the total number of girls in the college know Bengali A50 B55 C57 D60

50 How many students studying Homeopathy do not know English A198 B270 C288 D292 SET 14 A school has 400 students- boys and girls who are in the ratio of 35 The students speak Hindi English or both the languages 12 of the boys speak only Hindi 22 of the girls speak only English 24 of the total students speak only Hindi and the number of boys speaking both the languages is six times the number of boys speaking only Hindi

51 How many boys speak Hindi 52 How many girls speak only Hindi 53 How many students speak English 54 The number of girls speaking only Hindi is what percent of the total number of students

speaking only Hindi SET 15 People Power Corporation presently employs three Managers (A B and C) and five recruitment agents (D E F G and H) The company is planning to open a new office in San

Jose to manage placement of software professionals in the US It is planning to relocate two of the three managers and three of the five recruitment agents to the office at San Jose As it is an organization which is highly people oriented the management wants to ensure that the individuals who do not function well together should not be made as a part of the team going to the US The following information was available to the HR department of People Power Corporation Managers A and C are at each otherrsquos throat and therefore cannot be sent as a team to the new office C and E are excellent performers in their own right However they do not function together as a team They should be separated D and G have had a major misunderstanding during the last office picnic After the picnic these two have not been in speaking terms and should therefore not be sent as a team D and F are competing for a promotion that is due in another 3 months They should not be a team

55 If D goes to the new office which of the following is (are) true I C cannot go II A cannot go III H must also go A I only B II and III only C I and III only D I II and III

56 If A is to be moved as one of the Managers which of the following cannot be a possible working unit A ABDEH B ABFGH C ABEGH D ABDGH

57 If C and F are moved to the new office how many combinations are possible A 4 B 1 C 3 D 5

58 Given the group dynamics of the Managers and the recruitment agents which of the following is sure to find a berth in the San Jose office A B B H C G D E SET 16 Ghosh Babu took voluntary retirement in Dec 1991 and received a certain amount of money as retirement benefits On Jan 1 1992 he invested the entire amount in shares At the end of the month he sold all his shares and realised 25 profit On Feb 1 he reinvested the entire amount in shares which he sold at the end of the month at a loss of 20 Again he invested the entire amount on Mar 1 in a new company At the end of the month he sold the new company to a friend and realised a profit of 20 in the process He invested the entire amount in shares on Apr 1 which he sold at the end of the month for Rs 108000 incurring a loss of 10

59 What is the amount of retirement benefits received by Ghosh Babu A Rs 108000 B Rs 125000 C Rs 120000 D Rs 100000

60 The percentage profit received by Ghosh Babu between Jan 1 and Apr 30 is A 800 B 1500 C - 1000 D None of these

61 The amount of loss incurred by Ghosh Babu based on his operation in Apr 1992 is A Rs 25000 B Rs 12000 C Rs 20000 D Rs 8000

62 The maximum amount invested by Ghosh Babu in any one month was in A January B February C March D April SET 17 A school consisting of a total of 1560 students has boys and girls in the ratio of 7 5 respectively All the students are enrolled in different types of hobby classes viz Singing Dancing and Painting One-fifth of the boys are enrolled in only Dancing classes Twenty per cent of the girls are enrolled in only Painting classes Ten percent of the boys are enrolled in

only Singing classes Twenty-four per cent of the girls are enrolled in both Singing and Dancing classes together The number of girls enrolled in only Singing classes is two hundred per cent of the boys enrolled in the same One-thirteenth of the boys are enrolled in all the three classes together The respective ratio of boys enrolled in Dancing and Painting classes together to the girls enrolled in the same is 2 1 respectively Ten per cent of the girls are enrolled in only Dancing classes whereas eight per cent of the girls are enrolled in both Dancing and Painting classes together The remaining girls are enrolled in all the three classes together The number of boys enrolled in Singing and Dancing classes together is fifty per cent of the number of girls enrolled in the same The remaining boys are enrolled in only Painting classes

63 Total number of girls enrolled in Singing is approximately what per cent of the total number of students in the school A 37 B 19 C 32 D 26

64 What is the respective ratio of the number of girls enrolled in only Painting classes to the number of boys enrolled in the same A 77 26 B 21 73 C 26 77 D 73 21

65 Number of girls enrolled in only Dancing classes is what per cent of the boys enrolled in the same A 3867 B 3571 C 4183 D 2862

66 What is the total number of boys who are enrolled in Dancing A 318 B 364 C 292 D 434 SET 18 Not surprisingly the growth of the hotel industry is driven by the increase in the number of people using hotels and the increase in per person use of the hotel In 2004 it is expected that there will be 200 million hotel users in India or about 20 per cent of the population will generate Rs 50 billion in hotel revenues Industry revenues should expand from Rs 50 billion to Rs 150 billion by 2008 while the number of users should grow to over 560 million or to about half the population of India in the same period

67 What is the estimated population of India in 2004 A 98 crore B 100 crore C 110 crore D 115 crore

68 What will be the simple average growth rate of population of India in the given period 2004-2008 A 2

B 3 C 4 D 45

69 What will be the growth in percentage of users in India by 2008 A 100 B 150 C 180 D 200

70 What will be the percentage growth of the revenues of the hotel industry in the given period A 200 B 230 C 260 D 300 SET 19 Bihar and Orissa are the most deprived states of India While they contain one-fifth of Indiarsquos population they have almost one-third of Indiarsquos illiterates In 1998 only a small fraction of Orissa and Biharrsquos population was literate versus 85 per cent of Keralarsquos population More than two-thirds of the births are not attended by any medical facility 110th of the infants born in Orissa and Bihar die in infancy and an equal number before reaching the age of five Almost 90 per cent of the under five deaths are due to malnutrition From amongst the lucky kids who have survived for the first five years 13rd of them work as child labourers and only half of the remaining are sent to school Of those who attend classed only 40 per cent are able to reach Std V In India 30 per cent of the children under 16 work as labourers Orissa and Bihar contain 13rd of the child labourers in India India has the largest population of child labourers which is 115th of its total population In Orissa and Bihar out of 100 children enrolled in school 32 are girls And out of 100 who attend Std X only 10 are girls Only 38 out of 100 Indian women are literate versus 57 per cent of males Even in wealthy states such as Punjab girls suffer from malnutrition seven times more than boys do The total population of the country was 90 crore in 1998 and the ratio of male to female in India was 10 to 9

71 According to the information provided what percentage of the infants in Orissa and Bihar attend Std V A 1133 B 1066 C 1333 D 1233

72 The number of child labourers in India in 1998 are A 15 crore B 16 crore C 12 crore D 6 crore

73 The Orissa and Bihar out of 100 born approximately how many children work as child labourers A 27 B 32 C 13 D 38

74 What percentage of girl children enrolled in school reach Std X in Orissa and Bihar

A 10 B 32 C 60 D Insufficient data SET 20 AMS Inc is the leader in selling ideas universe wide but its maximum revenue comes from three principal planets only viz Earth Mars Jupiter Further it has three products viz CSP CC and CP In a particular year the number of units sold had a distribution as follows The number of units of CCs sold on Mars was 12 per cent of the number of units of CPs sold on Earth The number of units of CPs sold on Jupiter was 1000 Total number of CC units sold was 2600 Total number of CP units was 200 higher than that of the total number of units of CCs sold The number of units of CSP sold on Mars was 10 per cent of the number of units of CP sold on Jupiter The number of units of CSP sold on Earth was 2000 The number of units of CC sold on Earth was 15 per cent of the number of units CSP sold on Jupiter The prices of the units on the different planets were as follows Earth rarr Rs 15 per unit Mars rarr Rs 10 per unit Jupiter rarrRs 8 per unit The number of units of CSP sold on Jupiter was 300 The number of units of CP sold on Earth was 600

75 The number of units of CC sold on Jupiter is A 1520 B 2483 C 3423 D 600

76 The revenue generated on Earth is greater than that generated on Jupiter by about A Rs 8000 B Rs 9000 C Rs 10000 D None of these

77 The overall revenue generated is the highest from A CSPs B CP C CCs D Canrsquot be determined SET 21 An organization consists of 3500 employees working in different departments viz HR Marketing IT Production and Accounts The ratio of male to female employees in the organisation is 3 2 8 of the males work in the HR department 22 of the female work in the account department The ratio of males to females working in the HR department is 3 5 Oneseventh of the females work in the IT department 46 of the males work in the

Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

78 The number of males working in the Account department forms approximately what percent of the total number of males in the organisation A 6 B 8 C 10 D 11

79 How many females work in Production department A 140 B 200 C 180 D None

80 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A 28 B 32 C 29 D 31

81 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A 15 8 B 1 2 C 8 15 D 2 1

SET 22 A B and C started a business by investing Rs 800 Rs 1600 and Rs 2000 respectively After a quarter they invested amounts in a ratio 1 4 2 After another quarter they invested amounts in ratio 3 2 3In the last quarter the ratio of investments was same as in 2nd quarter Also in the last quarter the respective amounts of A B and C was double than the respective amounts invested in 2nd quarter The total investment of C before 4th quarter was Rs 1400 more than that of A during same duration Also ratio of Brsquos share in profit to total profit at the end of year was 66 153

82 Find the total investment of A B and C A Rs 10200 B Rs 11300 C Rs 9800 D Rs 10080

83 If they respectively had invested same amounts in each quarter after quarter 1 which is equal to their respective investments in quarter 1 then what would be the profit of A at the end of year out of a total profit of Rs 19350 A Rs 2510 B Rs 3320 C Rs 2560 D Rs 3150

84 If the respective investments in third quarter was changed and this was in ratio 2 4 1 (other investments being the same) then what would be the total investment of all three in third quarter if the average investment of all A B and C was Rs 3100 for whole year A Rs 500 B Rs 800 C Rs 700 D Rs 900 SET 23 The total population of village satana is 3550 out of which 36 people are below poverty line The total population of Satana is 11 frac14 less than the total population of amin while there are 29 people in amin who lives below poverty line In Nilokheri the people living below poverty line are 40 more than that in amin which is 40 of the total population of this village The average population of Gharaunda and Samalkha is equal to the average population of amin and Nilokheri while the difference between their population is 1800 (Village Samalkha is more populated) 47 of the population of Gharaunda are below poverty line Overall 46 of the population of all villagesrsquo together lives below poverty line

85 What percent of population of Samalkha lives above poverty line (Approximate) A 26 B 27 C 28 D 29

86 Find the approximate average no of people below poverty line in the given villages A 1610 B 1620 C 1615 D 1320

87 If 35 of the BPL population of Nilokheri are children while 30 of the overall population of this village are children Then what percent of population above poverty line are children A 25 B 30 C 26 13 D 26 23

88 What is the difference between total population of Nilokheri and that of Gharaunda A 300 B 200 C 250 D 400

SET 24

Gaurav a sweet seller bought some quantity of three types of sweets Rasgulla Rasmalai and Kalakand in ratio of 6 10 9 Kalakand costed him a total of Rs 18900 at rate of 420 per kg By selling Kalakand at a discount of 5 he earned a profit of 13 221 On Rasmalai (which was marked Rs 500 per kg) he earned Rs 5 less profit per kg as compared to that on Kalakand by selling Rasmalai at 10 discount Gaurav spent a total of Rs 46400 on buying these sweets while he earned a total profit of Rs 5875 on selling all bought sweets Rasgullas were marked 40 above cost price per kg

89 What is the difference between the number of Accord cars sold by dealers D and E together

and the number of City cars sold by dealers B and F together A 3658 B 3712 C 4205 D 3252

90 If Gaurav gave an extra discount of 20 on Kalakand then his gain or loss was

A 9 11

21 profit B 8

11

21 loss C 10

11

23 loss D 9

11

21 loss

91 Find the total quantity of sweets bought by Gaurav A 135 kg B 126 kg C 125 kg D 120 kg

92 If 10kg of Rasmalai was wasted away due to some reason Find profit or loss by selling the remaining Rasmalai as per given condition A 10 loss B 10 gain C 12 loss D 15 loss SET 25 An organization consists of 3500 employees working in different departments viz HR Marketing IT Production and Accounts The ratio of male to female employees in the organisation is 3 2 8 of the males work in the HR department 22 of the female work in the account department The ratio of males to females working in the HR department is 3 5 One-seventh of the females work in the IT department 46 of the males work in the Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

93 The number of males working in the Account department forms approximately what per cent of the total number of males in the organisation A 6 B8 C10 D11

94 How many females work in Production department A 140 B200 C180 DNone of these

95 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A28 B30 C29 D31

96 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A158 B12 C815 D21 SET 26

In the recently held Commonwealth Games a total number of 500 players participated in five different games viz Athletics Hockey Lawn Tennis Rugby and Badminton 15 of the total players participated in Badminton 25 of the total players participated in Hockey 6 of the total players participated in Lawn Tennis and 25 of the total players participated in Athletics The remaining players participated in Rugby One-fourth of the Hockey players are females 20 of the Badminton players are males Half of the players who participated in Lawn Tennis are males There are 55 female athletes No female player participated in Rugby

97 The number of female players who participated in Badminton is approximately what per cent of the total number of players who participated in Rugby A82 B80 C86 D76

98 What is the difference between the number of male players who participated in Hockey and the number of female players who participated in Lawn Tennis A125 B145 C130 D135

99 If due to certain reason Athletics was dropped and all the athletes left the tournament then what was the percentage of male players among the total players remaining in the tournament A4566 B4033 C3533 DNone of these

100 What is the ratio of the total number of male players participating in Badminton to the total number of female players participating in Hockey A353 B310 C510 D325 SET 27 The premises of an institute are to be renovated Only the floor is to be renovated either with marble or with wood All rooms halls and pantry are rectangular The area to be renovated comprises a hall measuring 33m by 39m The directorrsquos room measures 13m by 12m and the pantry measures 14m by 12m A record keeping-cum-server room measures 23m by 13m and the accounts room measures 12m by 23m The total area of the institute is 2500 square metres The cost of wooden flooring is Rs 170 per square metre and the cost of marble flooring is Rs 190 per square metre The accounts room the record keeping-cum-server room and the pantry are to be floored with marble The directorrsquos room and the hall are to be floored with wood

101 What is the ratio of the total cost of wooden flooring to the total cost of marble flooring A 1443 735 B 8177 4655 C 1443 4655 D 24531 14117

102 If four walls and ceiling of the room (the height of the room is 15 metres) are to be painted at the cost of Rs 190 per square metre how much will be the total cost of renovation of the directorrsquos room including the cost of flooring A 198660 B 178680 C 198880 D 22876

103 If the remaining area of the institute is to be carpeted at the rate of Rs 210 per square metre by how much will the cost of renovation of institute premises increase A 75000 B72840 C65940 D 75940

104 What is the percentage area of the institute that is not to be renovated A1644 B1356 C1455 D1256

SET 28 A total of 1650 students are studying in an engineering college in different departments The ratio of male students to female students in the college is 8679 The college had a total of 5 departments which are mechanical civil electrical Biotechnology and computer science Total 198 males study in the mechanical department 18 students study in the civil department in which male to female ratio is 54 In the biotechnology department 77 male students are studying and the number of female students in this department is 57th of the number of males The total number of male students in the civil department is equal to the number of female students in the mechanical department The number of males in biotechnology department is half of the number of total male students in computer science department In the electrical department the male to female ratio is 1419

105 The number of male students in electrical department is how much more than female students in mechanical

106 Female students in electrical department is what of the total number of females in the college (approximately) SET 29 During the period 1990-91 to 1994-95 the unit sales of Motorcycles witnessed a simple average growth rate of 45 and the unit price experienced a simple average growth rate of 41 In the year 1990-91 amp 1992-93 the selling price of motorcycle was Rs 50000 The unit selling price rose by Rs 2500 each in the years 1991-92 and 1994-95 Between 1990-91 and 1992-93 unit sales increased by 155 In 1992-93 approx 2888 units and in 1993-94 3000 units were sold In 1991-92 the sales increased by Rs 1281 crore and number of units sold increased by 125

107 The rupee sales of the motorcycles in 1990-91 is A Rs 180crore B Rs 125crore C Rs 135crore D Rs 100crore

108 How many motorcycles were sold in 1991-92 A 2500 B 2625 C 3050 D 4000

109 How many motorcycles were sold during the period 1990-91 to 1994-95 A 15025 B 14005 C 14076 D 15000

110 What is the selling price of a motorcycle in 1993-94 A Rs 50000 B Rs 52500 C Rs 57750 D Rs 60000

SET 30 Mlon huskthe space Y inventor took his team of scientist to newly found planetrdquoEuro Chandrdquo The team agreed on the condition that they will not do any research during their visit but will only do rest But Husk as per his nature observed various phenomenon on new planet including the gravitational pull He observed that a kg on earth is equivalent to 12 kg on Euro chand except kg on new planet is called Euroc Slen weighs 552 Euroc weighs heavier than all except Plen who weighs 108 Euroc more Olen the lightest weighs 252 Euroc less than Dlen Jlen weighs 48 Euroc less than Slen and 48 Euroc more than Dlen

111 What is the weight of Plen (in Kg) A55 B46 C17 D48

112 What is the weight of Olen (in Euronc ) A505 B246 C218 D204

113 Approximately how many times is the weight of Plen that of Dlen A145 B107 C218 D214

114 Weight of Dlen is what moreless than weight of Jlen

A111 B108 C95 D121 SET 31 In a MNC there are 5000 employees In that there are 6 departments ie Accounts department maintenance-admin department HR department production department RampD department marketing department In maintenance- admin department there is 15 of total number of employees In that 40 are females Total number of persons working in RampD department is equal to total number of males working in maintenance department Male to female ratio of RampD is 45In production department 1500 persons are working there are males only In HR department the number of persons working is 15 of number of persons working in production department where 80 are females The number of people working in Accounts department is 60 of production department in that number of females are 550 The number of female in marketing department 500

115 Total number of males in RampD department is what percentage of total number of males in the marketing department A50 B 375 C 33 13 D1007

116 What is the percentage increasedecrease in total number of females in HR department to the total number of males in maintenance ndash admin department A5334 increase B5334 decrease C4666 increase D4666decrease

117 What is the difference between total number of males in marketing department to total number of females in the accounts department A75 B50 C60 D90

118 What is the ratio of total number of males in HR department to the total number of females in maintenance ndash admin department A15 B27 C35 D47 SET 32

According to A the census has been taken by the Government for literacy rate in two villages

A and B total population is 6 00000 In which the ratio between total numbers of males to

total number of females is 53 and the ratio of total population in village A to village B is 1713

The ratio of number of males in village A to number of males in village B is 78Total Ratio of

literate to illiterate (in men) 41 Out of total women only 35 are literates Total percentage

of adults is 80 ( m f = 53) in total population and in remaining 10 are children all other

peoples are senior citizens

119 What is the difference between literate people to total number of senior citizens

A378750 B78750 C270750 D221250

120 Total number of literate males in village A (if 45 of literate males are in Village A) is what percentage of total number of illiterate Females (Approximately) A97 B92 C89 D85

121 What is the ratio of males in village B to Adult females in the survey A54 B45 C910 D109

122 What is the increasedecrease in percentage of total number children to the

difference between the populations of village A to village B

A85 decrease B 85 increase C 95 increase D95 decrease

SET 33 Acity consists of 2400 employees working in different IT companies viz TCS Infosys Wipro Tech Mahindra and Oracle The ratio of male to female employees in the city is 5 3 respectively Twelve per cent of the males work in the TCS Company Twenty four per cent of the females work in the Oracle Company The ratio of males to females working in the TCS company is 6 11 respectively One-ninth of the females work in the Wipro Company Forty two percent of the males work in the Tech Mahindra Company Number of females working in the Tech Mahindra Company is ten percent of the males working in the same The remaining females work in the Infosys Company The total number of employees working in the Wipro Company is 285 Twenty two percent of the males work in the Infosys Company and the remaining work in the Oracle Company

123 The number of females working in the Tech Mahindra Company TCS Company and Infosys company together forms what percent of the total number of females in the City A6488 B5765 C 4896 D7527

124 The total number of females working in the TCS and Infosys Company together

forms what percent of the total number of employees in Tech Mahindra Company

A7018 B8047 C 7526 D7518

125 What is the difference between the number of males in Infosys Company and

number of females to the Oracle Company together to the number of males in Tech

Mahindra Company and number of females to the TCS Company together

A434 B427 C404 D414

126 The number of males working in the Wipro Company and the number of females

working in the Infosys Company together forms approximately what percent of the total

number of males in the City (Rounded off the nearest percentage)

A50 B25 C21 D18

SET 34

A School consisting of a total of 1560 students has boys and girls in the ratio of 7 5

respectively All the students are enrolled for different country tours viz Russia Switzerland

and Japan One-fifth of the boys are enrolled for only Switzerland tour Twenty percent of

the girls are enrolled for only Japan tour Ten percent of the boys are enrolled for only Russia

tour Twenty four percent of the girls are enrolled for both Russia and Switzerland tour

together The number of girls enrolled for only Russia tour is two hundred percent of the

boys enrolled in the same One-thirteenth of the boys are enrolled for all the three tour

together The respective ratio of boys enrolled for Switzerland and Japan tour together to

the girls enrolled for the same is 2 1 respectively Ten percent of the girls are enrolled for

only Switzerland tour whereas eight percent of the girls are enrolled for both Switzerland

and Japan tour together The remaining girls are enrolled for all the three tour together The

number of boys enrolled for Russia and Switzerland tour together is fifty percent of the

number of girls enrolled for the same The remaining boys are enrolled for only Japan tour

127 What is the respective ratio of the number of girls enrolled for only Japan tour and

number of boys enrolled for Switzerland tour together to the number of boys enrolled for

the Japan tour and number of girls enrolled for Switzerland tour together

A7752 B7552 C5275 D5277

128 Number of girls enrolled for only Switzerland Russia and Japantour together is what

percent of the boys together enrolled for the same (Rounded off to two digits after

decimal)

A3757 B5729 C6193 D5522

129 What is the total number of students enrolled for all the three tour and number of

girls enrolled for Switzerland and Russia tour together and number of boys enrolled for

Switzerland and Japan tour together

A395 B2415 C385 D390

130 What is the sum of the total number of boys who are enrolled for Switzerland and

the total number of girls who are enrolled for same tour together

A872 B752 C802 D772

SET 35

A radio station surveyed 200 students to determine the types of music they liked There are

three types of music rock music folk music and classical music The survey revealed that 57

percent liked rock music 25 percent liked folk music and 205 percent liked classical music 14

students liked rock music and folk music 15 students liked rock music and classical music 6

students liked only classical music and folk music 90 of them liked only rock music

131 How many of them liked folk music but not rock music

A36 B41 C30 D44

132 How many of them liked any two types of music only

A15 B16 C19 D25

133 How many students did not like any of the three types

A35 B40 C30 D25

134 What is the ratio of who liked rock and classical music together to the ratio of who

liked only folk music

A51 B3110 C316 D125

SET 36

In a shopping mall there are three different varieties of dress materials Cotton Silk and

Chiffon There are 300 customers visited the Shop 50 of customers purchased Cotton

material 40 of customers purchased Chiffon material and 60 of customers purchased Silk

material The customers who purchased any of two dress materials are 90 20 of

customers who purchased Cotton also purchased other two materials The customers who

purchased only Silk material are 20 more than that of who purchased only Chiffon material

30 Customers are purchased only Silk and Chiffon material

135 How many of them purchased only one variety of dress material

A150 B180 C120 D160

136 How many of them purchased at least two types of dress materials

A90 B100 C120 D140

137 What is the percentage of the customers who purchased only Silk material to that of

the customers who purchased all types of dress material

A30043 B30553 C35523 D23333

138 How many of them did not purchase any of the three types of materials

A10 B15 C5 D None

SET 37

In a sports event six teams (A B C D E and F) are competing against each other Matches

are scheduled in two stages Each team plays three matches in stage ndash I and two matches in

Stage ndash II No team plays against the same team more than once in the event No ties are

permitted in any of the matches The observations after the completion of Stage ndash I and

Stage ndash II are as given below

Stage-I

bull One team won all the three matches

bull Two teams lost all the matches

bull D lost to A but won against C and F

bull E lost to B but won against C and F

bull B lost at least one match

bull F did not play against the top team of Stage-I

Stage-II

bull The leader of Stage-I lost the next two matches

bull Of the two teams at the bottom after Stage-I one team won both matches while the

other lost both matches

bull One more team lost both matches in Stage-II

139 The two teams that defeated the leader of Stage-I are

A F amp D B E amp F C B amp D D E amp D

140 The only team(s) that won both matches in Stage-II is (are)

A B B E amp F C A E amp F D B E amp F

141 The teams that won exactly two matches in the event are

A A D amp F B D amp E C E amp F D D amp F

142 The team(s) with the most wins in the event is (are)

A A B A amp C C B amp E D E

SET 38

Two traders Chetan and Michael were involved in the buying and selling of MCS shares

over five trading days At the beginning of the first day the MCS share was priced at ₹100

while at the end of the fifth day it was priced at ₹110 At the end of each day the MCS share

price either went up by ₹10 or else it came down by ₹10 Both Chetan and Michael took

buying and selling decisions at the end of each trading day The beginning price of MCS share

on a given day was the same as the ending price of the previous day Chetan and Michael

started with the same number of shares and amount of cash and had enough of both

Below are some additional facts about how Chetan and Michael traded over the five trading

days

middot Each day if the price went up Chetan sold 10 shares of MCS at the closing price On the

other hand each day if the price went down he bought 10 shares at the closing price

middot If on any day the closing price was above ₹110 then Michael sold 10 shares of MCS

while if it was below ₹90 he bought 10 shares all at the closing price

143 If Chetan sold 10 shares of MCS on three consecutive days while Michael sold 10

shares only once during the five days what was the price of MCS at the end of day 3

A ₹ 90 B ₹100 C ₹110 D ₹120

144 If Chetan ended up with ₹1300 more cash than Michael at the end of day 5 what

was the price of MCS share at the end of day 4

A ₹90 B ₹100 C ₹110 D₹120

145 If Michael ended up with 20 more shares than Chetan at the end of day 5 what was

the price of the share at the end of day 3

A₹90 B ₹100 C ₹110 D ₹120

146 If Michael ended up with ₹100 less cash than Chetan at the end of day 5 what was

the difference in the number of shares possessed by Michael and Chetan (at the end of day

5)

A Michael had 10 less shares than Chetan

B Michael had 10 more shares than Chetan

C Chetan had 10 more shares than Michael

D Both had the same number of shares

SET 39

Bankatlal acted as a judge for the beauty contest There were four participants viz Ms

Andhra Pradesh Ms Uttar Pradesh Ms West Bengal and Ms Maharashtra Mrs Bankatlal

who was very anxious about the result asked him about it as soon as he was back home

Bankatlal just told that the one who was wearing the yellow saree won the contest When

Mrs Bankatlal pressed for further details he elaborated as follows

I All of them were sitting in a row

II All of them wore sarees of different colors viz Green Yellow White Red

III There was only one runner up and she was sitting beside Ms Maharashtra

IV The runner up was wearing the Green saree

V Ms West Bengal was not sitting at the ends and was not a runner up

VI The winner and the runner up are not sitting adjacent to each other

VII Ms Maharashtra was wearing white saree

VIII Ms Andhra Pradesh was not wearing the Green saree

IX Participants wearing Yellow saree and White saree were at the ends

147 Who wore the Red saree A Ms Andhra Pradesh B Ms West Bengal C Ms Uttar Pradesh D Ms Maharashtra

148 Ms West Bengal was sitting adjacent to A Ms Andhra Pradesh and Ms Maharashtra B Ms Uttar Pradesh and Ms Maharashta C Ms Andhra Pradesh and Ms Uttar Pradesh D Ms Uttar Pradesh only

149 Which saree was worn by Ms Andhra Pradesh A Yellow B Red C Green D White

150 Who was the runner up

A Ms Andhra Pradesh B Ms West Bengal

C Ms Uttar Pradesh D Ms Maharashta

SET 40

Ghosh Babu goes to a casino in Kay - Kay islands where he comes across an interesting game

of cards The visitor playing the game is called the player amp the clubman is called the dealer

The rules of the game are as follows First the player picks the card This card is called the

base card amp the number on the face of the card is called the base value of the card Ace

King Queen amp Jack all have base value of 10 The dealer pays the player same number of

rupees as the base value of the card Now the dealer picks a card amp This is called the top

card If topcard is of the same suite then the player pays the dealer double the amount of

base value If it is of the same colour but not the same suite then the player pays the dealer

the amount of a bse value If it is of different colour then the dealer pays the player the

amount of base value Ghosh Babu plays the game 4 times First time he draws 8 of club amp

the dealer draws jack of club Second time he draws 10 of hearts amp the dealer draws 2 of

spade Third time he draws 6 of diamond amp the dealer draws 1 of heart Finally Ghosh Babu

draws 8 of spade and the dealer draws ace of the spade

151 If Ghosh Babu should leave the game when his profit is maximum then what is that

profit

A 12 B 18 C 20 D None of these

152 If Ghosh Babu did not have to borrow any money from anyone then what is the

minimum amount that he could have started with

A 16 B 24 C 8 D None of these

153 If Ghosh Babu is left with 100 rupees now what is the amount that he had started

with

A 120 B 104 C 96 D None of these

SET 41

Twenty one participants from four continents (Africa Americas Australasia and Europe)

attended a United Nations conference Each participant was an expert in one of four fields

labour health population studies and refugee relocation The following five facts about the

participants are given

I The number of labour experts in the camp was exactly half the number of experts in each

of the three other categories

II Africa did not send any labour expert Otherwise every continent including Africa sent at

least one expert for each category

III None of the continents sent more than three experts in any category

IV If there had been one less Australasian expert then the America would have had twice

many experts as each of the other continents

V Mike and Alfanso are leading experts of population studies who attended the conference

They are from Australasia

154 Which of the following numbers cannot be determined from the information given

A Number of labour experts from the Americas

B Number of health experts from Europe

C Number of health experts from Australasia

D Number of experts in refugee relocation from Africa

155 Which of the following combinations is NOT possible

A 2 experts in population studies from the Americas and 2 health experts from Africa

attended the conference

B 2 experts in population studies from the Americas and 1 health expert from Africa

attended the conference

C 3 experts in refugee relocation from the Americas and 1 health expert from Africa

attended the conference

D Africa and America each had 1 expert in population studies attending the conference

156 If Ramos is the lone America expert in population studies which of the following is

NOT true about the numbers of experts in the conference from the four continents

A There is one expert in health from Africa

B There is one expert in refugee relocation from Africa

C There are two experts in health from the Americas

D There are three experts in refugee relocation from the Americas

157 Alex an American expert in refugee relocation was the first keynote speaker in the

conference What can be inferred about the number of American experts in refugee

relocation in the conference excluding Alex (i) At least one (ii) Atmost two

A Only (i) and not (ii) B Only (ii) and not (i)

C Both (i) and (ii) D Neither (i) nor (ii)

SET 42

Help Distress (HD) is an NGO involved in providing assistance to people suffering from

natural disasters Currently it has 37 volunteers They are involved in three projects

Tsunami Relief (TR) in Tamil Nadu Flood Relief (FR) in Maharashtra and Earthquake Relief

(ER) in Gujarat Each volunteer working with Help Distress has to be involved in at least one

relief work project

bull A Maximum number of volunteers are involved in the FR project Among them the

number of volunteers involved in FR project alone is equal to the volunteers having

additional involvement in the ER project

bull The number of volunteers involved in the ER project alone is double the number of

volunteers involved in all the three projects

bull 17 volunteers are involved in the TR project

bull The number of volunteers involved in the TR project alone is one less than the number of

volunteers involved in ER project alone

bull Ten volunteers involved in the TR project are also involved in at least one more project

158 Based on the information given above the minimum number of volunteers involved

in both FR and TR projects but not in the ER project is

A 1 B 3 C 4 D 5

159 Which of the following additional information would enable to find the exact

number of volunteers involved in various projects

A Twenty volunteers are involved in FR B Four volunteers are involved in all the three projects C Twenty three volunteers are involved in exactly one project D No need for any additional information

160 After some time the volunteers who were involved in all the three projects were

asked to withdraw from one project As a result one of the volunteers opted out of the TR

project and one opted out of the ER project while the remaining ones involved in all the

three projects opted out of the FR project Which of the following statements then

necessarily follows

A The lowest number of volunteers is now in TR project B More volunteers are now in FR project as compared to ER project C More volunteers are now in TR project as compared to ER project D None of the above

161 After the withdrawal of volunteers as indicated in Question 85 some new

volunteers joined the NGO Each one of them was allotted only one project in a manner such

that the number of volunteers working in one project alone for each of the three projects

became identical At that point it was also found that the number of volunteers involved in

FR and ER projects was the same as the number of volunteers involved in TR and ER projects

Which of the projects now has the highest number of volunteers

A ER B FR C TR D Cannot be determined

SET 43

Mathematicians are assigned a number called Erdoumls number (named after the famous

mathematician Paul Erdoumls) Only Paul Erdoumls himself has an Erdoumls number of zero Any

mathematician who has written a research paper with Erdoumls has an Erdoumls number of 1 For

other mathematicians the calculation of hisher Erdoumls number is illustrated below

Suppose that a mathematician X has co-authored papers with several other mathematicians

From among them mathematician Y has the smallest Erdoumls number Let the Erdoumls number

of Y be y Then X has an Erdoumls number of y + 1 Hence any mathematician with no co-

authorship chain connected to Erdoumls has an Erdoumls number of infinity In a seven day long

mini-conference organized in memory of Paul Erdoumls a close group of eight mathematicians

call them A B C D E F G and H discussed some research problems At the beginning of the

conference A was the only participant who had an infinite Erdoumls number Nobody had an

Erdoumls number less than that of F

bull On the third day of the conference F co-authored a paper jointly with A and C This

reduced the average Erdoumls number of the group of eight mathematicians to 3 The Erdoumls

numbers of B D E G and H remained unchanged with the writing of this paper Further no

other co-authorship among any three members would have reduced the average Erdoumls

number of the group of eight to as low as 3

bull At the end of the third day five members of this group had identical Erdoumls numbers while

the other three had Erdoumls numbers distinct from each other

bull On the fifth day E co-authored a paper with F which reduced the grouprsquos average Erdoumls

number by 05 The Erdoumls numbers of the remaining six were unchanged with the writing of

this paper

bull No other paper was written during the conference

162 The Erdoumls number of C at the end of the conference was

A 1 B 2 C 3 D 4

163 The Erdoumls number of E at the beginning of the conference was

A 5 B 6 C 7 D 8

164 How many participants had the same Erdoumls number at the beginning of the

conference

A 2 B 3 C 4 D 5

SET 44

K L M N P Q R S U and W are the only ten members in a department There is a proposal

to form a team from within the members of the department subject to the following

conditions

bull A team must include exactly one among P R and S

bull A team must include either M or Q but not both

bull If a team includes K then it must also include L and vice versa

bull If a team includes one among S U and W then it must also include the other two

bull L and N cannot be members of the same team

bull L and U cannot be members of the same team

The size of a team is defined as the number of members in the team

165 Who can be a member of a team of size 5

A K B L C M D P

166 Who cannot be a member of a team of size 3

A L B M C N D P

167 What could be the size of a team that includes K

A 2 or 3 B 2 or 4 C 3 or 4 D Only 4

168 In how many ways a team can be constituted so that the team includes N

A 2 B 3 C 4 D 6

SET 45

(i) There are three houses on each side of the road

(ii) These six houses are labeled as P Q R S T and U

(iii) The houses are of different colours namely Red Blue Green Orange Yellow and

White

(iv) The houses are of different heights

(v) T the tallest house is exactly opposite to the Red coloured house

(vi) The shortest house is exactly opposite to the Green coloured house

(vii) U the Orange coloured house is located between P and S

(viii) R the Yellow coloured house is exactly opposite to P

(ix) Q the Green coloured house is exactly opposite to U

(x) P the White coloured house is taller than R but shorter than S and Q

169 Which is the second tallest house

A P B S C Q D cannot be determined

170 What is the colour of the house diagonally opposite to the Yellow coloured house

A White B Blue C Green D Red

171 What is the colour of the tallest house

A Red B Blue C Green D Yellow

SET 46

A leading socialite decided to organise a dinner and invited a few of her friends Only the

host and the hostess were sitting at the opposite ends of a rectangular table with three

persons along each side The pre-requisite for the seating arrangement was that each person

must be seated such that atleast on one side it has a person of opposite sex Maqbool is

opposite Shobha who is not the hostess Ratan has a woman on his right and is sitting

opposite a woman Monisha is sitting to the hostessrsquos right next to Dhirubhai One person is

seated between Madhuri and Urmila who is not the hostess The men were Maqbool Ratan

Dhirubhai and Jackie while the women were Madhuri Urmila Shobha and Monisha

172 The eighth person present Jackie must be I the host II seated to Shobarsquos right III

seated opposite Urmila

A I only B III only C I and II only D II and III only

173 Which of the following persons is definitely not seated next to a person of the same

sex

A Maqbool B Madhuri C Jackie D Shobha

174 If Ratan would have exchanged seats with a person four places to his left which of

the following would have been true after the exchange

I No one was seated between two persons of the opposite sex (eg no man was seated

between two women)

II One side of the table consisted entirely of persons of the same sex

III Either the host or the hostess changed seats

A I only B II only C I and II only D II and III only

175 If each person is placed directly opposite his or her spouse which of the following

pairs must be married

A Ratan and Monisha B Madhuri and Dhirubhai

C Urmila and Jackie D Ratan and Madhuri

SET 47

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

39 What percent of his income does B save A10 B12 C95 D None of these

40 What is the average of the monthly savings of A B and C ARs1500 BRs1433 CRs2150 DRs2100 SET 11 A took a voluntary retirement on February 1st 2014 and received 10 lakhs as retirement benefits As on that day he also had Rs 3 lakhs in the bank Of the total amount he had 60 was invested in the bank which gives an annual compounded interest of 15 for three years Of the remaining part half was invested in shares which appreciated by 15 in the first year 6 in the second year and depreciated by 10 the next year The remaining part was invested in real estate The real estate values increased by 10 in the first year reduced by 10 in the next year and remained steady in the third year

41 What was the value (in rupees lakhs) of Arsquos investment on February 1st 2015 A 21 lakhs B 1482 lakhs C 1536 lakhs D 1597 lakhs

42 What was the approximate value (kin rupees lakhs) of his investment on 1st February 2017 A 1621 lakhs B 1682 lakhs C 17286 lakhs D 1787 lakhs

43 In which year did the investment show the maximum increase A First B Second C Third D Both (A) and (C) SET 12 A total of 1650 employees is working in a company in different departments The ratio of male employees to female employees in the organisation is 8679 There are total 5 departments in the company ie Product Development Sales and Marketing R amp D and Reinvestment Finance and HR Total 198 males work in Product Development department 18 employees work in Sales and Marketing department in which male to female ratio is 54 In Finance Department 77 males are working and the number of females in this department is 57th of the number of males The number of males in Sales and Marketing department is equal to the number of females in Product Development department The number of males in Finance department is half of the number of males in HR department Male to female ratio in R amp D and Reinvestment department is 1419

44 The number of males in R amp D and Reinvestment department is how much more than females in Product Development

45 Female in R amp D and Reinvestment department is what of the total number of females in the company (approximately)

46 The number of females in Finance department is what percent less than the number of females in Product Development department

SET 13 In a medical college there are 1600 students studying Dentistry and Homeopathy Each student from each course knows one or more languages out of English Hindi and Bengali 45 of the students study Dentistry and the remaining students study Homeopathy Out of the students studying Dentistry boys and girls are in the ratio 53 Out of the boys studying Dentistry 16 know only English 10 know only Hindi and 4 know only Bengali 24 know English as well as Hindi 20 know English as well as Bengali and 14 know Hindi as well as Bengali The remaining boys know all the three languages Out of the girls studying Dentistry 20 know only English 10 know only Hindi and 10 know only Bengali 20 know English as well as Hindi 20 know English as well as Bengali and 10 know Hindi as well as Bengali The remaining girls know all the three languages Out of the students studying Homeopathy boys and girls are in the ratio 47 Out of the boys studying Homeopathy 20 know only English 15 know only Hindi and 5 know only Bengali 15 know English as well as Hindi 25 know English as well as Bengali and 10 know Hindi as well as Bengali The remaining boys know all the three languages Out of the girls studying Homeopathy 15 know only English 15 know only Hindi and 5 know only Bengali 20 know English as well as Hindi 20 know English as well as Bengali and 15 know Hindi as well as Bengali The remaining girls know all the three languages

47 How many students studying Dentistry know only either English or Hindi A198 B117 C270 D156

48 How many students in the college know all the three languages A175 B170 C169 D270

49 What percent of the total number of girls in the college know Bengali A50 B55 C57 D60

50 How many students studying Homeopathy do not know English A198 B270 C288 D292 SET 14 A school has 400 students- boys and girls who are in the ratio of 35 The students speak Hindi English or both the languages 12 of the boys speak only Hindi 22 of the girls speak only English 24 of the total students speak only Hindi and the number of boys speaking both the languages is six times the number of boys speaking only Hindi

51 How many boys speak Hindi 52 How many girls speak only Hindi 53 How many students speak English 54 The number of girls speaking only Hindi is what percent of the total number of students

speaking only Hindi SET 15 People Power Corporation presently employs three Managers (A B and C) and five recruitment agents (D E F G and H) The company is planning to open a new office in San

Jose to manage placement of software professionals in the US It is planning to relocate two of the three managers and three of the five recruitment agents to the office at San Jose As it is an organization which is highly people oriented the management wants to ensure that the individuals who do not function well together should not be made as a part of the team going to the US The following information was available to the HR department of People Power Corporation Managers A and C are at each otherrsquos throat and therefore cannot be sent as a team to the new office C and E are excellent performers in their own right However they do not function together as a team They should be separated D and G have had a major misunderstanding during the last office picnic After the picnic these two have not been in speaking terms and should therefore not be sent as a team D and F are competing for a promotion that is due in another 3 months They should not be a team

55 If D goes to the new office which of the following is (are) true I C cannot go II A cannot go III H must also go A I only B II and III only C I and III only D I II and III

56 If A is to be moved as one of the Managers which of the following cannot be a possible working unit A ABDEH B ABFGH C ABEGH D ABDGH

57 If C and F are moved to the new office how many combinations are possible A 4 B 1 C 3 D 5

58 Given the group dynamics of the Managers and the recruitment agents which of the following is sure to find a berth in the San Jose office A B B H C G D E SET 16 Ghosh Babu took voluntary retirement in Dec 1991 and received a certain amount of money as retirement benefits On Jan 1 1992 he invested the entire amount in shares At the end of the month he sold all his shares and realised 25 profit On Feb 1 he reinvested the entire amount in shares which he sold at the end of the month at a loss of 20 Again he invested the entire amount on Mar 1 in a new company At the end of the month he sold the new company to a friend and realised a profit of 20 in the process He invested the entire amount in shares on Apr 1 which he sold at the end of the month for Rs 108000 incurring a loss of 10

59 What is the amount of retirement benefits received by Ghosh Babu A Rs 108000 B Rs 125000 C Rs 120000 D Rs 100000

60 The percentage profit received by Ghosh Babu between Jan 1 and Apr 30 is A 800 B 1500 C - 1000 D None of these

61 The amount of loss incurred by Ghosh Babu based on his operation in Apr 1992 is A Rs 25000 B Rs 12000 C Rs 20000 D Rs 8000

62 The maximum amount invested by Ghosh Babu in any one month was in A January B February C March D April SET 17 A school consisting of a total of 1560 students has boys and girls in the ratio of 7 5 respectively All the students are enrolled in different types of hobby classes viz Singing Dancing and Painting One-fifth of the boys are enrolled in only Dancing classes Twenty per cent of the girls are enrolled in only Painting classes Ten percent of the boys are enrolled in

only Singing classes Twenty-four per cent of the girls are enrolled in both Singing and Dancing classes together The number of girls enrolled in only Singing classes is two hundred per cent of the boys enrolled in the same One-thirteenth of the boys are enrolled in all the three classes together The respective ratio of boys enrolled in Dancing and Painting classes together to the girls enrolled in the same is 2 1 respectively Ten per cent of the girls are enrolled in only Dancing classes whereas eight per cent of the girls are enrolled in both Dancing and Painting classes together The remaining girls are enrolled in all the three classes together The number of boys enrolled in Singing and Dancing classes together is fifty per cent of the number of girls enrolled in the same The remaining boys are enrolled in only Painting classes

63 Total number of girls enrolled in Singing is approximately what per cent of the total number of students in the school A 37 B 19 C 32 D 26

64 What is the respective ratio of the number of girls enrolled in only Painting classes to the number of boys enrolled in the same A 77 26 B 21 73 C 26 77 D 73 21

65 Number of girls enrolled in only Dancing classes is what per cent of the boys enrolled in the same A 3867 B 3571 C 4183 D 2862

66 What is the total number of boys who are enrolled in Dancing A 318 B 364 C 292 D 434 SET 18 Not surprisingly the growth of the hotel industry is driven by the increase in the number of people using hotels and the increase in per person use of the hotel In 2004 it is expected that there will be 200 million hotel users in India or about 20 per cent of the population will generate Rs 50 billion in hotel revenues Industry revenues should expand from Rs 50 billion to Rs 150 billion by 2008 while the number of users should grow to over 560 million or to about half the population of India in the same period

67 What is the estimated population of India in 2004 A 98 crore B 100 crore C 110 crore D 115 crore

68 What will be the simple average growth rate of population of India in the given period 2004-2008 A 2

B 3 C 4 D 45

69 What will be the growth in percentage of users in India by 2008 A 100 B 150 C 180 D 200

70 What will be the percentage growth of the revenues of the hotel industry in the given period A 200 B 230 C 260 D 300 SET 19 Bihar and Orissa are the most deprived states of India While they contain one-fifth of Indiarsquos population they have almost one-third of Indiarsquos illiterates In 1998 only a small fraction of Orissa and Biharrsquos population was literate versus 85 per cent of Keralarsquos population More than two-thirds of the births are not attended by any medical facility 110th of the infants born in Orissa and Bihar die in infancy and an equal number before reaching the age of five Almost 90 per cent of the under five deaths are due to malnutrition From amongst the lucky kids who have survived for the first five years 13rd of them work as child labourers and only half of the remaining are sent to school Of those who attend classed only 40 per cent are able to reach Std V In India 30 per cent of the children under 16 work as labourers Orissa and Bihar contain 13rd of the child labourers in India India has the largest population of child labourers which is 115th of its total population In Orissa and Bihar out of 100 children enrolled in school 32 are girls And out of 100 who attend Std X only 10 are girls Only 38 out of 100 Indian women are literate versus 57 per cent of males Even in wealthy states such as Punjab girls suffer from malnutrition seven times more than boys do The total population of the country was 90 crore in 1998 and the ratio of male to female in India was 10 to 9

71 According to the information provided what percentage of the infants in Orissa and Bihar attend Std V A 1133 B 1066 C 1333 D 1233

72 The number of child labourers in India in 1998 are A 15 crore B 16 crore C 12 crore D 6 crore

73 The Orissa and Bihar out of 100 born approximately how many children work as child labourers A 27 B 32 C 13 D 38

74 What percentage of girl children enrolled in school reach Std X in Orissa and Bihar

A 10 B 32 C 60 D Insufficient data SET 20 AMS Inc is the leader in selling ideas universe wide but its maximum revenue comes from three principal planets only viz Earth Mars Jupiter Further it has three products viz CSP CC and CP In a particular year the number of units sold had a distribution as follows The number of units of CCs sold on Mars was 12 per cent of the number of units of CPs sold on Earth The number of units of CPs sold on Jupiter was 1000 Total number of CC units sold was 2600 Total number of CP units was 200 higher than that of the total number of units of CCs sold The number of units of CSP sold on Mars was 10 per cent of the number of units of CP sold on Jupiter The number of units of CSP sold on Earth was 2000 The number of units of CC sold on Earth was 15 per cent of the number of units CSP sold on Jupiter The prices of the units on the different planets were as follows Earth rarr Rs 15 per unit Mars rarr Rs 10 per unit Jupiter rarrRs 8 per unit The number of units of CSP sold on Jupiter was 300 The number of units of CP sold on Earth was 600

75 The number of units of CC sold on Jupiter is A 1520 B 2483 C 3423 D 600

76 The revenue generated on Earth is greater than that generated on Jupiter by about A Rs 8000 B Rs 9000 C Rs 10000 D None of these

77 The overall revenue generated is the highest from A CSPs B CP C CCs D Canrsquot be determined SET 21 An organization consists of 3500 employees working in different departments viz HR Marketing IT Production and Accounts The ratio of male to female employees in the organisation is 3 2 8 of the males work in the HR department 22 of the female work in the account department The ratio of males to females working in the HR department is 3 5 Oneseventh of the females work in the IT department 46 of the males work in the

Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

78 The number of males working in the Account department forms approximately what percent of the total number of males in the organisation A 6 B 8 C 10 D 11

79 How many females work in Production department A 140 B 200 C 180 D None

80 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A 28 B 32 C 29 D 31

81 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A 15 8 B 1 2 C 8 15 D 2 1

SET 22 A B and C started a business by investing Rs 800 Rs 1600 and Rs 2000 respectively After a quarter they invested amounts in a ratio 1 4 2 After another quarter they invested amounts in ratio 3 2 3In the last quarter the ratio of investments was same as in 2nd quarter Also in the last quarter the respective amounts of A B and C was double than the respective amounts invested in 2nd quarter The total investment of C before 4th quarter was Rs 1400 more than that of A during same duration Also ratio of Brsquos share in profit to total profit at the end of year was 66 153

82 Find the total investment of A B and C A Rs 10200 B Rs 11300 C Rs 9800 D Rs 10080

83 If they respectively had invested same amounts in each quarter after quarter 1 which is equal to their respective investments in quarter 1 then what would be the profit of A at the end of year out of a total profit of Rs 19350 A Rs 2510 B Rs 3320 C Rs 2560 D Rs 3150

84 If the respective investments in third quarter was changed and this was in ratio 2 4 1 (other investments being the same) then what would be the total investment of all three in third quarter if the average investment of all A B and C was Rs 3100 for whole year A Rs 500 B Rs 800 C Rs 700 D Rs 900 SET 23 The total population of village satana is 3550 out of which 36 people are below poverty line The total population of Satana is 11 frac14 less than the total population of amin while there are 29 people in amin who lives below poverty line In Nilokheri the people living below poverty line are 40 more than that in amin which is 40 of the total population of this village The average population of Gharaunda and Samalkha is equal to the average population of amin and Nilokheri while the difference between their population is 1800 (Village Samalkha is more populated) 47 of the population of Gharaunda are below poverty line Overall 46 of the population of all villagesrsquo together lives below poverty line

85 What percent of population of Samalkha lives above poverty line (Approximate) A 26 B 27 C 28 D 29

86 Find the approximate average no of people below poverty line in the given villages A 1610 B 1620 C 1615 D 1320

87 If 35 of the BPL population of Nilokheri are children while 30 of the overall population of this village are children Then what percent of population above poverty line are children A 25 B 30 C 26 13 D 26 23

88 What is the difference between total population of Nilokheri and that of Gharaunda A 300 B 200 C 250 D 400

SET 24

Gaurav a sweet seller bought some quantity of three types of sweets Rasgulla Rasmalai and Kalakand in ratio of 6 10 9 Kalakand costed him a total of Rs 18900 at rate of 420 per kg By selling Kalakand at a discount of 5 he earned a profit of 13 221 On Rasmalai (which was marked Rs 500 per kg) he earned Rs 5 less profit per kg as compared to that on Kalakand by selling Rasmalai at 10 discount Gaurav spent a total of Rs 46400 on buying these sweets while he earned a total profit of Rs 5875 on selling all bought sweets Rasgullas were marked 40 above cost price per kg

89 What is the difference between the number of Accord cars sold by dealers D and E together

and the number of City cars sold by dealers B and F together A 3658 B 3712 C 4205 D 3252

90 If Gaurav gave an extra discount of 20 on Kalakand then his gain or loss was

A 9 11

21 profit B 8

11

21 loss C 10

11

23 loss D 9

11

21 loss

91 Find the total quantity of sweets bought by Gaurav A 135 kg B 126 kg C 125 kg D 120 kg

92 If 10kg of Rasmalai was wasted away due to some reason Find profit or loss by selling the remaining Rasmalai as per given condition A 10 loss B 10 gain C 12 loss D 15 loss SET 25 An organization consists of 3500 employees working in different departments viz HR Marketing IT Production and Accounts The ratio of male to female employees in the organisation is 3 2 8 of the males work in the HR department 22 of the female work in the account department The ratio of males to females working in the HR department is 3 5 One-seventh of the females work in the IT department 46 of the males work in the Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

93 The number of males working in the Account department forms approximately what per cent of the total number of males in the organisation A 6 B8 C10 D11

94 How many females work in Production department A 140 B200 C180 DNone of these

95 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A28 B30 C29 D31

96 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A158 B12 C815 D21 SET 26

In the recently held Commonwealth Games a total number of 500 players participated in five different games viz Athletics Hockey Lawn Tennis Rugby and Badminton 15 of the total players participated in Badminton 25 of the total players participated in Hockey 6 of the total players participated in Lawn Tennis and 25 of the total players participated in Athletics The remaining players participated in Rugby One-fourth of the Hockey players are females 20 of the Badminton players are males Half of the players who participated in Lawn Tennis are males There are 55 female athletes No female player participated in Rugby

97 The number of female players who participated in Badminton is approximately what per cent of the total number of players who participated in Rugby A82 B80 C86 D76

98 What is the difference between the number of male players who participated in Hockey and the number of female players who participated in Lawn Tennis A125 B145 C130 D135

99 If due to certain reason Athletics was dropped and all the athletes left the tournament then what was the percentage of male players among the total players remaining in the tournament A4566 B4033 C3533 DNone of these

100 What is the ratio of the total number of male players participating in Badminton to the total number of female players participating in Hockey A353 B310 C510 D325 SET 27 The premises of an institute are to be renovated Only the floor is to be renovated either with marble or with wood All rooms halls and pantry are rectangular The area to be renovated comprises a hall measuring 33m by 39m The directorrsquos room measures 13m by 12m and the pantry measures 14m by 12m A record keeping-cum-server room measures 23m by 13m and the accounts room measures 12m by 23m The total area of the institute is 2500 square metres The cost of wooden flooring is Rs 170 per square metre and the cost of marble flooring is Rs 190 per square metre The accounts room the record keeping-cum-server room and the pantry are to be floored with marble The directorrsquos room and the hall are to be floored with wood

101 What is the ratio of the total cost of wooden flooring to the total cost of marble flooring A 1443 735 B 8177 4655 C 1443 4655 D 24531 14117

102 If four walls and ceiling of the room (the height of the room is 15 metres) are to be painted at the cost of Rs 190 per square metre how much will be the total cost of renovation of the directorrsquos room including the cost of flooring A 198660 B 178680 C 198880 D 22876

103 If the remaining area of the institute is to be carpeted at the rate of Rs 210 per square metre by how much will the cost of renovation of institute premises increase A 75000 B72840 C65940 D 75940

104 What is the percentage area of the institute that is not to be renovated A1644 B1356 C1455 D1256

SET 28 A total of 1650 students are studying in an engineering college in different departments The ratio of male students to female students in the college is 8679 The college had a total of 5 departments which are mechanical civil electrical Biotechnology and computer science Total 198 males study in the mechanical department 18 students study in the civil department in which male to female ratio is 54 In the biotechnology department 77 male students are studying and the number of female students in this department is 57th of the number of males The total number of male students in the civil department is equal to the number of female students in the mechanical department The number of males in biotechnology department is half of the number of total male students in computer science department In the electrical department the male to female ratio is 1419

105 The number of male students in electrical department is how much more than female students in mechanical

106 Female students in electrical department is what of the total number of females in the college (approximately) SET 29 During the period 1990-91 to 1994-95 the unit sales of Motorcycles witnessed a simple average growth rate of 45 and the unit price experienced a simple average growth rate of 41 In the year 1990-91 amp 1992-93 the selling price of motorcycle was Rs 50000 The unit selling price rose by Rs 2500 each in the years 1991-92 and 1994-95 Between 1990-91 and 1992-93 unit sales increased by 155 In 1992-93 approx 2888 units and in 1993-94 3000 units were sold In 1991-92 the sales increased by Rs 1281 crore and number of units sold increased by 125

107 The rupee sales of the motorcycles in 1990-91 is A Rs 180crore B Rs 125crore C Rs 135crore D Rs 100crore

108 How many motorcycles were sold in 1991-92 A 2500 B 2625 C 3050 D 4000

109 How many motorcycles were sold during the period 1990-91 to 1994-95 A 15025 B 14005 C 14076 D 15000

110 What is the selling price of a motorcycle in 1993-94 A Rs 50000 B Rs 52500 C Rs 57750 D Rs 60000

SET 30 Mlon huskthe space Y inventor took his team of scientist to newly found planetrdquoEuro Chandrdquo The team agreed on the condition that they will not do any research during their visit but will only do rest But Husk as per his nature observed various phenomenon on new planet including the gravitational pull He observed that a kg on earth is equivalent to 12 kg on Euro chand except kg on new planet is called Euroc Slen weighs 552 Euroc weighs heavier than all except Plen who weighs 108 Euroc more Olen the lightest weighs 252 Euroc less than Dlen Jlen weighs 48 Euroc less than Slen and 48 Euroc more than Dlen

111 What is the weight of Plen (in Kg) A55 B46 C17 D48

112 What is the weight of Olen (in Euronc ) A505 B246 C218 D204

113 Approximately how many times is the weight of Plen that of Dlen A145 B107 C218 D214

114 Weight of Dlen is what moreless than weight of Jlen

A111 B108 C95 D121 SET 31 In a MNC there are 5000 employees In that there are 6 departments ie Accounts department maintenance-admin department HR department production department RampD department marketing department In maintenance- admin department there is 15 of total number of employees In that 40 are females Total number of persons working in RampD department is equal to total number of males working in maintenance department Male to female ratio of RampD is 45In production department 1500 persons are working there are males only In HR department the number of persons working is 15 of number of persons working in production department where 80 are females The number of people working in Accounts department is 60 of production department in that number of females are 550 The number of female in marketing department 500

115 Total number of males in RampD department is what percentage of total number of males in the marketing department A50 B 375 C 33 13 D1007

116 What is the percentage increasedecrease in total number of females in HR department to the total number of males in maintenance ndash admin department A5334 increase B5334 decrease C4666 increase D4666decrease

117 What is the difference between total number of males in marketing department to total number of females in the accounts department A75 B50 C60 D90

118 What is the ratio of total number of males in HR department to the total number of females in maintenance ndash admin department A15 B27 C35 D47 SET 32

According to A the census has been taken by the Government for literacy rate in two villages

A and B total population is 6 00000 In which the ratio between total numbers of males to

total number of females is 53 and the ratio of total population in village A to village B is 1713

The ratio of number of males in village A to number of males in village B is 78Total Ratio of

literate to illiterate (in men) 41 Out of total women only 35 are literates Total percentage

of adults is 80 ( m f = 53) in total population and in remaining 10 are children all other

peoples are senior citizens

119 What is the difference between literate people to total number of senior citizens

A378750 B78750 C270750 D221250

120 Total number of literate males in village A (if 45 of literate males are in Village A) is what percentage of total number of illiterate Females (Approximately) A97 B92 C89 D85

121 What is the ratio of males in village B to Adult females in the survey A54 B45 C910 D109

122 What is the increasedecrease in percentage of total number children to the

difference between the populations of village A to village B

A85 decrease B 85 increase C 95 increase D95 decrease

SET 33 Acity consists of 2400 employees working in different IT companies viz TCS Infosys Wipro Tech Mahindra and Oracle The ratio of male to female employees in the city is 5 3 respectively Twelve per cent of the males work in the TCS Company Twenty four per cent of the females work in the Oracle Company The ratio of males to females working in the TCS company is 6 11 respectively One-ninth of the females work in the Wipro Company Forty two percent of the males work in the Tech Mahindra Company Number of females working in the Tech Mahindra Company is ten percent of the males working in the same The remaining females work in the Infosys Company The total number of employees working in the Wipro Company is 285 Twenty two percent of the males work in the Infosys Company and the remaining work in the Oracle Company

123 The number of females working in the Tech Mahindra Company TCS Company and Infosys company together forms what percent of the total number of females in the City A6488 B5765 C 4896 D7527

124 The total number of females working in the TCS and Infosys Company together

forms what percent of the total number of employees in Tech Mahindra Company

A7018 B8047 C 7526 D7518

125 What is the difference between the number of males in Infosys Company and

number of females to the Oracle Company together to the number of males in Tech

Mahindra Company and number of females to the TCS Company together

A434 B427 C404 D414

126 The number of males working in the Wipro Company and the number of females

working in the Infosys Company together forms approximately what percent of the total

number of males in the City (Rounded off the nearest percentage)

A50 B25 C21 D18

SET 34

A School consisting of a total of 1560 students has boys and girls in the ratio of 7 5

respectively All the students are enrolled for different country tours viz Russia Switzerland

and Japan One-fifth of the boys are enrolled for only Switzerland tour Twenty percent of

the girls are enrolled for only Japan tour Ten percent of the boys are enrolled for only Russia

tour Twenty four percent of the girls are enrolled for both Russia and Switzerland tour

together The number of girls enrolled for only Russia tour is two hundred percent of the

boys enrolled in the same One-thirteenth of the boys are enrolled for all the three tour

together The respective ratio of boys enrolled for Switzerland and Japan tour together to

the girls enrolled for the same is 2 1 respectively Ten percent of the girls are enrolled for

only Switzerland tour whereas eight percent of the girls are enrolled for both Switzerland

and Japan tour together The remaining girls are enrolled for all the three tour together The

number of boys enrolled for Russia and Switzerland tour together is fifty percent of the

number of girls enrolled for the same The remaining boys are enrolled for only Japan tour

127 What is the respective ratio of the number of girls enrolled for only Japan tour and

number of boys enrolled for Switzerland tour together to the number of boys enrolled for

the Japan tour and number of girls enrolled for Switzerland tour together

A7752 B7552 C5275 D5277

128 Number of girls enrolled for only Switzerland Russia and Japantour together is what

percent of the boys together enrolled for the same (Rounded off to two digits after

decimal)

A3757 B5729 C6193 D5522

129 What is the total number of students enrolled for all the three tour and number of

girls enrolled for Switzerland and Russia tour together and number of boys enrolled for

Switzerland and Japan tour together

A395 B2415 C385 D390

130 What is the sum of the total number of boys who are enrolled for Switzerland and

the total number of girls who are enrolled for same tour together

A872 B752 C802 D772

SET 35

A radio station surveyed 200 students to determine the types of music they liked There are

three types of music rock music folk music and classical music The survey revealed that 57

percent liked rock music 25 percent liked folk music and 205 percent liked classical music 14

students liked rock music and folk music 15 students liked rock music and classical music 6

students liked only classical music and folk music 90 of them liked only rock music

131 How many of them liked folk music but not rock music

A36 B41 C30 D44

132 How many of them liked any two types of music only

A15 B16 C19 D25

133 How many students did not like any of the three types

A35 B40 C30 D25

134 What is the ratio of who liked rock and classical music together to the ratio of who

liked only folk music

A51 B3110 C316 D125

SET 36

In a shopping mall there are three different varieties of dress materials Cotton Silk and

Chiffon There are 300 customers visited the Shop 50 of customers purchased Cotton

material 40 of customers purchased Chiffon material and 60 of customers purchased Silk

material The customers who purchased any of two dress materials are 90 20 of

customers who purchased Cotton also purchased other two materials The customers who

purchased only Silk material are 20 more than that of who purchased only Chiffon material

30 Customers are purchased only Silk and Chiffon material

135 How many of them purchased only one variety of dress material

A150 B180 C120 D160

136 How many of them purchased at least two types of dress materials

A90 B100 C120 D140

137 What is the percentage of the customers who purchased only Silk material to that of

the customers who purchased all types of dress material

A30043 B30553 C35523 D23333

138 How many of them did not purchase any of the three types of materials

A10 B15 C5 D None

SET 37

In a sports event six teams (A B C D E and F) are competing against each other Matches

are scheduled in two stages Each team plays three matches in stage ndash I and two matches in

Stage ndash II No team plays against the same team more than once in the event No ties are

permitted in any of the matches The observations after the completion of Stage ndash I and

Stage ndash II are as given below

Stage-I

bull One team won all the three matches

bull Two teams lost all the matches

bull D lost to A but won against C and F

bull E lost to B but won against C and F

bull B lost at least one match

bull F did not play against the top team of Stage-I

Stage-II

bull The leader of Stage-I lost the next two matches

bull Of the two teams at the bottom after Stage-I one team won both matches while the

other lost both matches

bull One more team lost both matches in Stage-II

139 The two teams that defeated the leader of Stage-I are

A F amp D B E amp F C B amp D D E amp D

140 The only team(s) that won both matches in Stage-II is (are)

A B B E amp F C A E amp F D B E amp F

141 The teams that won exactly two matches in the event are

A A D amp F B D amp E C E amp F D D amp F

142 The team(s) with the most wins in the event is (are)

A A B A amp C C B amp E D E

SET 38

Two traders Chetan and Michael were involved in the buying and selling of MCS shares

over five trading days At the beginning of the first day the MCS share was priced at ₹100

while at the end of the fifth day it was priced at ₹110 At the end of each day the MCS share

price either went up by ₹10 or else it came down by ₹10 Both Chetan and Michael took

buying and selling decisions at the end of each trading day The beginning price of MCS share

on a given day was the same as the ending price of the previous day Chetan and Michael

started with the same number of shares and amount of cash and had enough of both

Below are some additional facts about how Chetan and Michael traded over the five trading

days

middot Each day if the price went up Chetan sold 10 shares of MCS at the closing price On the

other hand each day if the price went down he bought 10 shares at the closing price

middot If on any day the closing price was above ₹110 then Michael sold 10 shares of MCS

while if it was below ₹90 he bought 10 shares all at the closing price

143 If Chetan sold 10 shares of MCS on three consecutive days while Michael sold 10

shares only once during the five days what was the price of MCS at the end of day 3

A ₹ 90 B ₹100 C ₹110 D ₹120

144 If Chetan ended up with ₹1300 more cash than Michael at the end of day 5 what

was the price of MCS share at the end of day 4

A ₹90 B ₹100 C ₹110 D₹120

145 If Michael ended up with 20 more shares than Chetan at the end of day 5 what was

the price of the share at the end of day 3

A₹90 B ₹100 C ₹110 D ₹120

146 If Michael ended up with ₹100 less cash than Chetan at the end of day 5 what was

the difference in the number of shares possessed by Michael and Chetan (at the end of day

5)

A Michael had 10 less shares than Chetan

B Michael had 10 more shares than Chetan

C Chetan had 10 more shares than Michael

D Both had the same number of shares

SET 39

Bankatlal acted as a judge for the beauty contest There were four participants viz Ms

Andhra Pradesh Ms Uttar Pradesh Ms West Bengal and Ms Maharashtra Mrs Bankatlal

who was very anxious about the result asked him about it as soon as he was back home

Bankatlal just told that the one who was wearing the yellow saree won the contest When

Mrs Bankatlal pressed for further details he elaborated as follows

I All of them were sitting in a row

II All of them wore sarees of different colors viz Green Yellow White Red

III There was only one runner up and she was sitting beside Ms Maharashtra

IV The runner up was wearing the Green saree

V Ms West Bengal was not sitting at the ends and was not a runner up

VI The winner and the runner up are not sitting adjacent to each other

VII Ms Maharashtra was wearing white saree

VIII Ms Andhra Pradesh was not wearing the Green saree

IX Participants wearing Yellow saree and White saree were at the ends

147 Who wore the Red saree A Ms Andhra Pradesh B Ms West Bengal C Ms Uttar Pradesh D Ms Maharashtra

148 Ms West Bengal was sitting adjacent to A Ms Andhra Pradesh and Ms Maharashtra B Ms Uttar Pradesh and Ms Maharashta C Ms Andhra Pradesh and Ms Uttar Pradesh D Ms Uttar Pradesh only

149 Which saree was worn by Ms Andhra Pradesh A Yellow B Red C Green D White

150 Who was the runner up

A Ms Andhra Pradesh B Ms West Bengal

C Ms Uttar Pradesh D Ms Maharashta

SET 40

Ghosh Babu goes to a casino in Kay - Kay islands where he comes across an interesting game

of cards The visitor playing the game is called the player amp the clubman is called the dealer

The rules of the game are as follows First the player picks the card This card is called the

base card amp the number on the face of the card is called the base value of the card Ace

King Queen amp Jack all have base value of 10 The dealer pays the player same number of

rupees as the base value of the card Now the dealer picks a card amp This is called the top

card If topcard is of the same suite then the player pays the dealer double the amount of

base value If it is of the same colour but not the same suite then the player pays the dealer

the amount of a bse value If it is of different colour then the dealer pays the player the

amount of base value Ghosh Babu plays the game 4 times First time he draws 8 of club amp

the dealer draws jack of club Second time he draws 10 of hearts amp the dealer draws 2 of

spade Third time he draws 6 of diamond amp the dealer draws 1 of heart Finally Ghosh Babu

draws 8 of spade and the dealer draws ace of the spade

151 If Ghosh Babu should leave the game when his profit is maximum then what is that

profit

A 12 B 18 C 20 D None of these

152 If Ghosh Babu did not have to borrow any money from anyone then what is the

minimum amount that he could have started with

A 16 B 24 C 8 D None of these

153 If Ghosh Babu is left with 100 rupees now what is the amount that he had started

with

A 120 B 104 C 96 D None of these

SET 41

Twenty one participants from four continents (Africa Americas Australasia and Europe)

attended a United Nations conference Each participant was an expert in one of four fields

labour health population studies and refugee relocation The following five facts about the

participants are given

I The number of labour experts in the camp was exactly half the number of experts in each

of the three other categories

II Africa did not send any labour expert Otherwise every continent including Africa sent at

least one expert for each category

III None of the continents sent more than three experts in any category

IV If there had been one less Australasian expert then the America would have had twice

many experts as each of the other continents

V Mike and Alfanso are leading experts of population studies who attended the conference

They are from Australasia

154 Which of the following numbers cannot be determined from the information given

A Number of labour experts from the Americas

B Number of health experts from Europe

C Number of health experts from Australasia

D Number of experts in refugee relocation from Africa

155 Which of the following combinations is NOT possible

A 2 experts in population studies from the Americas and 2 health experts from Africa

attended the conference

B 2 experts in population studies from the Americas and 1 health expert from Africa

attended the conference

C 3 experts in refugee relocation from the Americas and 1 health expert from Africa

attended the conference

D Africa and America each had 1 expert in population studies attending the conference

156 If Ramos is the lone America expert in population studies which of the following is

NOT true about the numbers of experts in the conference from the four continents

A There is one expert in health from Africa

B There is one expert in refugee relocation from Africa

C There are two experts in health from the Americas

D There are three experts in refugee relocation from the Americas

157 Alex an American expert in refugee relocation was the first keynote speaker in the

conference What can be inferred about the number of American experts in refugee

relocation in the conference excluding Alex (i) At least one (ii) Atmost two

A Only (i) and not (ii) B Only (ii) and not (i)

C Both (i) and (ii) D Neither (i) nor (ii)

SET 42

Help Distress (HD) is an NGO involved in providing assistance to people suffering from

natural disasters Currently it has 37 volunteers They are involved in three projects

Tsunami Relief (TR) in Tamil Nadu Flood Relief (FR) in Maharashtra and Earthquake Relief

(ER) in Gujarat Each volunteer working with Help Distress has to be involved in at least one

relief work project

bull A Maximum number of volunteers are involved in the FR project Among them the

number of volunteers involved in FR project alone is equal to the volunteers having

additional involvement in the ER project

bull The number of volunteers involved in the ER project alone is double the number of

volunteers involved in all the three projects

bull 17 volunteers are involved in the TR project

bull The number of volunteers involved in the TR project alone is one less than the number of

volunteers involved in ER project alone

bull Ten volunteers involved in the TR project are also involved in at least one more project

158 Based on the information given above the minimum number of volunteers involved

in both FR and TR projects but not in the ER project is

A 1 B 3 C 4 D 5

159 Which of the following additional information would enable to find the exact

number of volunteers involved in various projects

A Twenty volunteers are involved in FR B Four volunteers are involved in all the three projects C Twenty three volunteers are involved in exactly one project D No need for any additional information

160 After some time the volunteers who were involved in all the three projects were

asked to withdraw from one project As a result one of the volunteers opted out of the TR

project and one opted out of the ER project while the remaining ones involved in all the

three projects opted out of the FR project Which of the following statements then

necessarily follows

A The lowest number of volunteers is now in TR project B More volunteers are now in FR project as compared to ER project C More volunteers are now in TR project as compared to ER project D None of the above

161 After the withdrawal of volunteers as indicated in Question 85 some new

volunteers joined the NGO Each one of them was allotted only one project in a manner such

that the number of volunteers working in one project alone for each of the three projects

became identical At that point it was also found that the number of volunteers involved in

FR and ER projects was the same as the number of volunteers involved in TR and ER projects

Which of the projects now has the highest number of volunteers

A ER B FR C TR D Cannot be determined

SET 43

Mathematicians are assigned a number called Erdoumls number (named after the famous

mathematician Paul Erdoumls) Only Paul Erdoumls himself has an Erdoumls number of zero Any

mathematician who has written a research paper with Erdoumls has an Erdoumls number of 1 For

other mathematicians the calculation of hisher Erdoumls number is illustrated below

Suppose that a mathematician X has co-authored papers with several other mathematicians

From among them mathematician Y has the smallest Erdoumls number Let the Erdoumls number

of Y be y Then X has an Erdoumls number of y + 1 Hence any mathematician with no co-

authorship chain connected to Erdoumls has an Erdoumls number of infinity In a seven day long

mini-conference organized in memory of Paul Erdoumls a close group of eight mathematicians

call them A B C D E F G and H discussed some research problems At the beginning of the

conference A was the only participant who had an infinite Erdoumls number Nobody had an

Erdoumls number less than that of F

bull On the third day of the conference F co-authored a paper jointly with A and C This

reduced the average Erdoumls number of the group of eight mathematicians to 3 The Erdoumls

numbers of B D E G and H remained unchanged with the writing of this paper Further no

other co-authorship among any three members would have reduced the average Erdoumls

number of the group of eight to as low as 3

bull At the end of the third day five members of this group had identical Erdoumls numbers while

the other three had Erdoumls numbers distinct from each other

bull On the fifth day E co-authored a paper with F which reduced the grouprsquos average Erdoumls

number by 05 The Erdoumls numbers of the remaining six were unchanged with the writing of

this paper

bull No other paper was written during the conference

162 The Erdoumls number of C at the end of the conference was

A 1 B 2 C 3 D 4

163 The Erdoumls number of E at the beginning of the conference was

A 5 B 6 C 7 D 8

164 How many participants had the same Erdoumls number at the beginning of the

conference

A 2 B 3 C 4 D 5

SET 44

K L M N P Q R S U and W are the only ten members in a department There is a proposal

to form a team from within the members of the department subject to the following

conditions

bull A team must include exactly one among P R and S

bull A team must include either M or Q but not both

bull If a team includes K then it must also include L and vice versa

bull If a team includes one among S U and W then it must also include the other two

bull L and N cannot be members of the same team

bull L and U cannot be members of the same team

The size of a team is defined as the number of members in the team

165 Who can be a member of a team of size 5

A K B L C M D P

166 Who cannot be a member of a team of size 3

A L B M C N D P

167 What could be the size of a team that includes K

A 2 or 3 B 2 or 4 C 3 or 4 D Only 4

168 In how many ways a team can be constituted so that the team includes N

A 2 B 3 C 4 D 6

SET 45

(i) There are three houses on each side of the road

(ii) These six houses are labeled as P Q R S T and U

(iii) The houses are of different colours namely Red Blue Green Orange Yellow and

White

(iv) The houses are of different heights

(v) T the tallest house is exactly opposite to the Red coloured house

(vi) The shortest house is exactly opposite to the Green coloured house

(vii) U the Orange coloured house is located between P and S

(viii) R the Yellow coloured house is exactly opposite to P

(ix) Q the Green coloured house is exactly opposite to U

(x) P the White coloured house is taller than R but shorter than S and Q

169 Which is the second tallest house

A P B S C Q D cannot be determined

170 What is the colour of the house diagonally opposite to the Yellow coloured house

A White B Blue C Green D Red

171 What is the colour of the tallest house

A Red B Blue C Green D Yellow

SET 46

A leading socialite decided to organise a dinner and invited a few of her friends Only the

host and the hostess were sitting at the opposite ends of a rectangular table with three

persons along each side The pre-requisite for the seating arrangement was that each person

must be seated such that atleast on one side it has a person of opposite sex Maqbool is

opposite Shobha who is not the hostess Ratan has a woman on his right and is sitting

opposite a woman Monisha is sitting to the hostessrsquos right next to Dhirubhai One person is

seated between Madhuri and Urmila who is not the hostess The men were Maqbool Ratan

Dhirubhai and Jackie while the women were Madhuri Urmila Shobha and Monisha

172 The eighth person present Jackie must be I the host II seated to Shobarsquos right III

seated opposite Urmila

A I only B III only C I and II only D II and III only

173 Which of the following persons is definitely not seated next to a person of the same

sex

A Maqbool B Madhuri C Jackie D Shobha

174 If Ratan would have exchanged seats with a person four places to his left which of

the following would have been true after the exchange

I No one was seated between two persons of the opposite sex (eg no man was seated

between two women)

II One side of the table consisted entirely of persons of the same sex

III Either the host or the hostess changed seats

A I only B II only C I and II only D II and III only

175 If each person is placed directly opposite his or her spouse which of the following

pairs must be married

A Ratan and Monisha B Madhuri and Dhirubhai

C Urmila and Jackie D Ratan and Madhuri

SET 47

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

45 Female in R amp D and Reinvestment department is what of the total number of females in the company (approximately)

46 The number of females in Finance department is what percent less than the number of females in Product Development department

SET 13 In a medical college there are 1600 students studying Dentistry and Homeopathy Each student from each course knows one or more languages out of English Hindi and Bengali 45 of the students study Dentistry and the remaining students study Homeopathy Out of the students studying Dentistry boys and girls are in the ratio 53 Out of the boys studying Dentistry 16 know only English 10 know only Hindi and 4 know only Bengali 24 know English as well as Hindi 20 know English as well as Bengali and 14 know Hindi as well as Bengali The remaining boys know all the three languages Out of the girls studying Dentistry 20 know only English 10 know only Hindi and 10 know only Bengali 20 know English as well as Hindi 20 know English as well as Bengali and 10 know Hindi as well as Bengali The remaining girls know all the three languages Out of the students studying Homeopathy boys and girls are in the ratio 47 Out of the boys studying Homeopathy 20 know only English 15 know only Hindi and 5 know only Bengali 15 know English as well as Hindi 25 know English as well as Bengali and 10 know Hindi as well as Bengali The remaining boys know all the three languages Out of the girls studying Homeopathy 15 know only English 15 know only Hindi and 5 know only Bengali 20 know English as well as Hindi 20 know English as well as Bengali and 15 know Hindi as well as Bengali The remaining girls know all the three languages

47 How many students studying Dentistry know only either English or Hindi A198 B117 C270 D156

48 How many students in the college know all the three languages A175 B170 C169 D270

49 What percent of the total number of girls in the college know Bengali A50 B55 C57 D60

50 How many students studying Homeopathy do not know English A198 B270 C288 D292 SET 14 A school has 400 students- boys and girls who are in the ratio of 35 The students speak Hindi English or both the languages 12 of the boys speak only Hindi 22 of the girls speak only English 24 of the total students speak only Hindi and the number of boys speaking both the languages is six times the number of boys speaking only Hindi

51 How many boys speak Hindi 52 How many girls speak only Hindi 53 How many students speak English 54 The number of girls speaking only Hindi is what percent of the total number of students

speaking only Hindi SET 15 People Power Corporation presently employs three Managers (A B and C) and five recruitment agents (D E F G and H) The company is planning to open a new office in San

Jose to manage placement of software professionals in the US It is planning to relocate two of the three managers and three of the five recruitment agents to the office at San Jose As it is an organization which is highly people oriented the management wants to ensure that the individuals who do not function well together should not be made as a part of the team going to the US The following information was available to the HR department of People Power Corporation Managers A and C are at each otherrsquos throat and therefore cannot be sent as a team to the new office C and E are excellent performers in their own right However they do not function together as a team They should be separated D and G have had a major misunderstanding during the last office picnic After the picnic these two have not been in speaking terms and should therefore not be sent as a team D and F are competing for a promotion that is due in another 3 months They should not be a team

55 If D goes to the new office which of the following is (are) true I C cannot go II A cannot go III H must also go A I only B II and III only C I and III only D I II and III

56 If A is to be moved as one of the Managers which of the following cannot be a possible working unit A ABDEH B ABFGH C ABEGH D ABDGH

57 If C and F are moved to the new office how many combinations are possible A 4 B 1 C 3 D 5

58 Given the group dynamics of the Managers and the recruitment agents which of the following is sure to find a berth in the San Jose office A B B H C G D E SET 16 Ghosh Babu took voluntary retirement in Dec 1991 and received a certain amount of money as retirement benefits On Jan 1 1992 he invested the entire amount in shares At the end of the month he sold all his shares and realised 25 profit On Feb 1 he reinvested the entire amount in shares which he sold at the end of the month at a loss of 20 Again he invested the entire amount on Mar 1 in a new company At the end of the month he sold the new company to a friend and realised a profit of 20 in the process He invested the entire amount in shares on Apr 1 which he sold at the end of the month for Rs 108000 incurring a loss of 10

59 What is the amount of retirement benefits received by Ghosh Babu A Rs 108000 B Rs 125000 C Rs 120000 D Rs 100000

60 The percentage profit received by Ghosh Babu between Jan 1 and Apr 30 is A 800 B 1500 C - 1000 D None of these

61 The amount of loss incurred by Ghosh Babu based on his operation in Apr 1992 is A Rs 25000 B Rs 12000 C Rs 20000 D Rs 8000

62 The maximum amount invested by Ghosh Babu in any one month was in A January B February C March D April SET 17 A school consisting of a total of 1560 students has boys and girls in the ratio of 7 5 respectively All the students are enrolled in different types of hobby classes viz Singing Dancing and Painting One-fifth of the boys are enrolled in only Dancing classes Twenty per cent of the girls are enrolled in only Painting classes Ten percent of the boys are enrolled in

only Singing classes Twenty-four per cent of the girls are enrolled in both Singing and Dancing classes together The number of girls enrolled in only Singing classes is two hundred per cent of the boys enrolled in the same One-thirteenth of the boys are enrolled in all the three classes together The respective ratio of boys enrolled in Dancing and Painting classes together to the girls enrolled in the same is 2 1 respectively Ten per cent of the girls are enrolled in only Dancing classes whereas eight per cent of the girls are enrolled in both Dancing and Painting classes together The remaining girls are enrolled in all the three classes together The number of boys enrolled in Singing and Dancing classes together is fifty per cent of the number of girls enrolled in the same The remaining boys are enrolled in only Painting classes

63 Total number of girls enrolled in Singing is approximately what per cent of the total number of students in the school A 37 B 19 C 32 D 26

64 What is the respective ratio of the number of girls enrolled in only Painting classes to the number of boys enrolled in the same A 77 26 B 21 73 C 26 77 D 73 21

65 Number of girls enrolled in only Dancing classes is what per cent of the boys enrolled in the same A 3867 B 3571 C 4183 D 2862

66 What is the total number of boys who are enrolled in Dancing A 318 B 364 C 292 D 434 SET 18 Not surprisingly the growth of the hotel industry is driven by the increase in the number of people using hotels and the increase in per person use of the hotel In 2004 it is expected that there will be 200 million hotel users in India or about 20 per cent of the population will generate Rs 50 billion in hotel revenues Industry revenues should expand from Rs 50 billion to Rs 150 billion by 2008 while the number of users should grow to over 560 million or to about half the population of India in the same period

67 What is the estimated population of India in 2004 A 98 crore B 100 crore C 110 crore D 115 crore

68 What will be the simple average growth rate of population of India in the given period 2004-2008 A 2

B 3 C 4 D 45

69 What will be the growth in percentage of users in India by 2008 A 100 B 150 C 180 D 200

70 What will be the percentage growth of the revenues of the hotel industry in the given period A 200 B 230 C 260 D 300 SET 19 Bihar and Orissa are the most deprived states of India While they contain one-fifth of Indiarsquos population they have almost one-third of Indiarsquos illiterates In 1998 only a small fraction of Orissa and Biharrsquos population was literate versus 85 per cent of Keralarsquos population More than two-thirds of the births are not attended by any medical facility 110th of the infants born in Orissa and Bihar die in infancy and an equal number before reaching the age of five Almost 90 per cent of the under five deaths are due to malnutrition From amongst the lucky kids who have survived for the first five years 13rd of them work as child labourers and only half of the remaining are sent to school Of those who attend classed only 40 per cent are able to reach Std V In India 30 per cent of the children under 16 work as labourers Orissa and Bihar contain 13rd of the child labourers in India India has the largest population of child labourers which is 115th of its total population In Orissa and Bihar out of 100 children enrolled in school 32 are girls And out of 100 who attend Std X only 10 are girls Only 38 out of 100 Indian women are literate versus 57 per cent of males Even in wealthy states such as Punjab girls suffer from malnutrition seven times more than boys do The total population of the country was 90 crore in 1998 and the ratio of male to female in India was 10 to 9

71 According to the information provided what percentage of the infants in Orissa and Bihar attend Std V A 1133 B 1066 C 1333 D 1233

72 The number of child labourers in India in 1998 are A 15 crore B 16 crore C 12 crore D 6 crore

73 The Orissa and Bihar out of 100 born approximately how many children work as child labourers A 27 B 32 C 13 D 38

74 What percentage of girl children enrolled in school reach Std X in Orissa and Bihar

A 10 B 32 C 60 D Insufficient data SET 20 AMS Inc is the leader in selling ideas universe wide but its maximum revenue comes from three principal planets only viz Earth Mars Jupiter Further it has three products viz CSP CC and CP In a particular year the number of units sold had a distribution as follows The number of units of CCs sold on Mars was 12 per cent of the number of units of CPs sold on Earth The number of units of CPs sold on Jupiter was 1000 Total number of CC units sold was 2600 Total number of CP units was 200 higher than that of the total number of units of CCs sold The number of units of CSP sold on Mars was 10 per cent of the number of units of CP sold on Jupiter The number of units of CSP sold on Earth was 2000 The number of units of CC sold on Earth was 15 per cent of the number of units CSP sold on Jupiter The prices of the units on the different planets were as follows Earth rarr Rs 15 per unit Mars rarr Rs 10 per unit Jupiter rarrRs 8 per unit The number of units of CSP sold on Jupiter was 300 The number of units of CP sold on Earth was 600

75 The number of units of CC sold on Jupiter is A 1520 B 2483 C 3423 D 600

76 The revenue generated on Earth is greater than that generated on Jupiter by about A Rs 8000 B Rs 9000 C Rs 10000 D None of these

77 The overall revenue generated is the highest from A CSPs B CP C CCs D Canrsquot be determined SET 21 An organization consists of 3500 employees working in different departments viz HR Marketing IT Production and Accounts The ratio of male to female employees in the organisation is 3 2 8 of the males work in the HR department 22 of the female work in the account department The ratio of males to females working in the HR department is 3 5 Oneseventh of the females work in the IT department 46 of the males work in the

Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

78 The number of males working in the Account department forms approximately what percent of the total number of males in the organisation A 6 B 8 C 10 D 11

79 How many females work in Production department A 140 B 200 C 180 D None

80 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A 28 B 32 C 29 D 31

81 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A 15 8 B 1 2 C 8 15 D 2 1

SET 22 A B and C started a business by investing Rs 800 Rs 1600 and Rs 2000 respectively After a quarter they invested amounts in a ratio 1 4 2 After another quarter they invested amounts in ratio 3 2 3In the last quarter the ratio of investments was same as in 2nd quarter Also in the last quarter the respective amounts of A B and C was double than the respective amounts invested in 2nd quarter The total investment of C before 4th quarter was Rs 1400 more than that of A during same duration Also ratio of Brsquos share in profit to total profit at the end of year was 66 153

82 Find the total investment of A B and C A Rs 10200 B Rs 11300 C Rs 9800 D Rs 10080

83 If they respectively had invested same amounts in each quarter after quarter 1 which is equal to their respective investments in quarter 1 then what would be the profit of A at the end of year out of a total profit of Rs 19350 A Rs 2510 B Rs 3320 C Rs 2560 D Rs 3150

84 If the respective investments in third quarter was changed and this was in ratio 2 4 1 (other investments being the same) then what would be the total investment of all three in third quarter if the average investment of all A B and C was Rs 3100 for whole year A Rs 500 B Rs 800 C Rs 700 D Rs 900 SET 23 The total population of village satana is 3550 out of which 36 people are below poverty line The total population of Satana is 11 frac14 less than the total population of amin while there are 29 people in amin who lives below poverty line In Nilokheri the people living below poverty line are 40 more than that in amin which is 40 of the total population of this village The average population of Gharaunda and Samalkha is equal to the average population of amin and Nilokheri while the difference between their population is 1800 (Village Samalkha is more populated) 47 of the population of Gharaunda are below poverty line Overall 46 of the population of all villagesrsquo together lives below poverty line

85 What percent of population of Samalkha lives above poverty line (Approximate) A 26 B 27 C 28 D 29

86 Find the approximate average no of people below poverty line in the given villages A 1610 B 1620 C 1615 D 1320

87 If 35 of the BPL population of Nilokheri are children while 30 of the overall population of this village are children Then what percent of population above poverty line are children A 25 B 30 C 26 13 D 26 23

88 What is the difference between total population of Nilokheri and that of Gharaunda A 300 B 200 C 250 D 400

SET 24

Gaurav a sweet seller bought some quantity of three types of sweets Rasgulla Rasmalai and Kalakand in ratio of 6 10 9 Kalakand costed him a total of Rs 18900 at rate of 420 per kg By selling Kalakand at a discount of 5 he earned a profit of 13 221 On Rasmalai (which was marked Rs 500 per kg) he earned Rs 5 less profit per kg as compared to that on Kalakand by selling Rasmalai at 10 discount Gaurav spent a total of Rs 46400 on buying these sweets while he earned a total profit of Rs 5875 on selling all bought sweets Rasgullas were marked 40 above cost price per kg

89 What is the difference between the number of Accord cars sold by dealers D and E together

and the number of City cars sold by dealers B and F together A 3658 B 3712 C 4205 D 3252

90 If Gaurav gave an extra discount of 20 on Kalakand then his gain or loss was

A 9 11

21 profit B 8

11

21 loss C 10

11

23 loss D 9

11

21 loss

91 Find the total quantity of sweets bought by Gaurav A 135 kg B 126 kg C 125 kg D 120 kg

92 If 10kg of Rasmalai was wasted away due to some reason Find profit or loss by selling the remaining Rasmalai as per given condition A 10 loss B 10 gain C 12 loss D 15 loss SET 25 An organization consists of 3500 employees working in different departments viz HR Marketing IT Production and Accounts The ratio of male to female employees in the organisation is 3 2 8 of the males work in the HR department 22 of the female work in the account department The ratio of males to females working in the HR department is 3 5 One-seventh of the females work in the IT department 46 of the males work in the Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

93 The number of males working in the Account department forms approximately what per cent of the total number of males in the organisation A 6 B8 C10 D11

94 How many females work in Production department A 140 B200 C180 DNone of these

95 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A28 B30 C29 D31

96 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A158 B12 C815 D21 SET 26

In the recently held Commonwealth Games a total number of 500 players participated in five different games viz Athletics Hockey Lawn Tennis Rugby and Badminton 15 of the total players participated in Badminton 25 of the total players participated in Hockey 6 of the total players participated in Lawn Tennis and 25 of the total players participated in Athletics The remaining players participated in Rugby One-fourth of the Hockey players are females 20 of the Badminton players are males Half of the players who participated in Lawn Tennis are males There are 55 female athletes No female player participated in Rugby

97 The number of female players who participated in Badminton is approximately what per cent of the total number of players who participated in Rugby A82 B80 C86 D76

98 What is the difference between the number of male players who participated in Hockey and the number of female players who participated in Lawn Tennis A125 B145 C130 D135

99 If due to certain reason Athletics was dropped and all the athletes left the tournament then what was the percentage of male players among the total players remaining in the tournament A4566 B4033 C3533 DNone of these

100 What is the ratio of the total number of male players participating in Badminton to the total number of female players participating in Hockey A353 B310 C510 D325 SET 27 The premises of an institute are to be renovated Only the floor is to be renovated either with marble or with wood All rooms halls and pantry are rectangular The area to be renovated comprises a hall measuring 33m by 39m The directorrsquos room measures 13m by 12m and the pantry measures 14m by 12m A record keeping-cum-server room measures 23m by 13m and the accounts room measures 12m by 23m The total area of the institute is 2500 square metres The cost of wooden flooring is Rs 170 per square metre and the cost of marble flooring is Rs 190 per square metre The accounts room the record keeping-cum-server room and the pantry are to be floored with marble The directorrsquos room and the hall are to be floored with wood

101 What is the ratio of the total cost of wooden flooring to the total cost of marble flooring A 1443 735 B 8177 4655 C 1443 4655 D 24531 14117

102 If four walls and ceiling of the room (the height of the room is 15 metres) are to be painted at the cost of Rs 190 per square metre how much will be the total cost of renovation of the directorrsquos room including the cost of flooring A 198660 B 178680 C 198880 D 22876

103 If the remaining area of the institute is to be carpeted at the rate of Rs 210 per square metre by how much will the cost of renovation of institute premises increase A 75000 B72840 C65940 D 75940

104 What is the percentage area of the institute that is not to be renovated A1644 B1356 C1455 D1256

SET 28 A total of 1650 students are studying in an engineering college in different departments The ratio of male students to female students in the college is 8679 The college had a total of 5 departments which are mechanical civil electrical Biotechnology and computer science Total 198 males study in the mechanical department 18 students study in the civil department in which male to female ratio is 54 In the biotechnology department 77 male students are studying and the number of female students in this department is 57th of the number of males The total number of male students in the civil department is equal to the number of female students in the mechanical department The number of males in biotechnology department is half of the number of total male students in computer science department In the electrical department the male to female ratio is 1419

105 The number of male students in electrical department is how much more than female students in mechanical

106 Female students in electrical department is what of the total number of females in the college (approximately) SET 29 During the period 1990-91 to 1994-95 the unit sales of Motorcycles witnessed a simple average growth rate of 45 and the unit price experienced a simple average growth rate of 41 In the year 1990-91 amp 1992-93 the selling price of motorcycle was Rs 50000 The unit selling price rose by Rs 2500 each in the years 1991-92 and 1994-95 Between 1990-91 and 1992-93 unit sales increased by 155 In 1992-93 approx 2888 units and in 1993-94 3000 units were sold In 1991-92 the sales increased by Rs 1281 crore and number of units sold increased by 125

107 The rupee sales of the motorcycles in 1990-91 is A Rs 180crore B Rs 125crore C Rs 135crore D Rs 100crore

108 How many motorcycles were sold in 1991-92 A 2500 B 2625 C 3050 D 4000

109 How many motorcycles were sold during the period 1990-91 to 1994-95 A 15025 B 14005 C 14076 D 15000

110 What is the selling price of a motorcycle in 1993-94 A Rs 50000 B Rs 52500 C Rs 57750 D Rs 60000

SET 30 Mlon huskthe space Y inventor took his team of scientist to newly found planetrdquoEuro Chandrdquo The team agreed on the condition that they will not do any research during their visit but will only do rest But Husk as per his nature observed various phenomenon on new planet including the gravitational pull He observed that a kg on earth is equivalent to 12 kg on Euro chand except kg on new planet is called Euroc Slen weighs 552 Euroc weighs heavier than all except Plen who weighs 108 Euroc more Olen the lightest weighs 252 Euroc less than Dlen Jlen weighs 48 Euroc less than Slen and 48 Euroc more than Dlen

111 What is the weight of Plen (in Kg) A55 B46 C17 D48

112 What is the weight of Olen (in Euronc ) A505 B246 C218 D204

113 Approximately how many times is the weight of Plen that of Dlen A145 B107 C218 D214

114 Weight of Dlen is what moreless than weight of Jlen

A111 B108 C95 D121 SET 31 In a MNC there are 5000 employees In that there are 6 departments ie Accounts department maintenance-admin department HR department production department RampD department marketing department In maintenance- admin department there is 15 of total number of employees In that 40 are females Total number of persons working in RampD department is equal to total number of males working in maintenance department Male to female ratio of RampD is 45In production department 1500 persons are working there are males only In HR department the number of persons working is 15 of number of persons working in production department where 80 are females The number of people working in Accounts department is 60 of production department in that number of females are 550 The number of female in marketing department 500

115 Total number of males in RampD department is what percentage of total number of males in the marketing department A50 B 375 C 33 13 D1007

116 What is the percentage increasedecrease in total number of females in HR department to the total number of males in maintenance ndash admin department A5334 increase B5334 decrease C4666 increase D4666decrease

117 What is the difference between total number of males in marketing department to total number of females in the accounts department A75 B50 C60 D90

118 What is the ratio of total number of males in HR department to the total number of females in maintenance ndash admin department A15 B27 C35 D47 SET 32

According to A the census has been taken by the Government for literacy rate in two villages

A and B total population is 6 00000 In which the ratio between total numbers of males to

total number of females is 53 and the ratio of total population in village A to village B is 1713

The ratio of number of males in village A to number of males in village B is 78Total Ratio of

literate to illiterate (in men) 41 Out of total women only 35 are literates Total percentage

of adults is 80 ( m f = 53) in total population and in remaining 10 are children all other

peoples are senior citizens

119 What is the difference between literate people to total number of senior citizens

A378750 B78750 C270750 D221250

120 Total number of literate males in village A (if 45 of literate males are in Village A) is what percentage of total number of illiterate Females (Approximately) A97 B92 C89 D85

121 What is the ratio of males in village B to Adult females in the survey A54 B45 C910 D109

122 What is the increasedecrease in percentage of total number children to the

difference between the populations of village A to village B

A85 decrease B 85 increase C 95 increase D95 decrease

SET 33 Acity consists of 2400 employees working in different IT companies viz TCS Infosys Wipro Tech Mahindra and Oracle The ratio of male to female employees in the city is 5 3 respectively Twelve per cent of the males work in the TCS Company Twenty four per cent of the females work in the Oracle Company The ratio of males to females working in the TCS company is 6 11 respectively One-ninth of the females work in the Wipro Company Forty two percent of the males work in the Tech Mahindra Company Number of females working in the Tech Mahindra Company is ten percent of the males working in the same The remaining females work in the Infosys Company The total number of employees working in the Wipro Company is 285 Twenty two percent of the males work in the Infosys Company and the remaining work in the Oracle Company

123 The number of females working in the Tech Mahindra Company TCS Company and Infosys company together forms what percent of the total number of females in the City A6488 B5765 C 4896 D7527

124 The total number of females working in the TCS and Infosys Company together

forms what percent of the total number of employees in Tech Mahindra Company

A7018 B8047 C 7526 D7518

125 What is the difference between the number of males in Infosys Company and

number of females to the Oracle Company together to the number of males in Tech

Mahindra Company and number of females to the TCS Company together

A434 B427 C404 D414

126 The number of males working in the Wipro Company and the number of females

working in the Infosys Company together forms approximately what percent of the total

number of males in the City (Rounded off the nearest percentage)

A50 B25 C21 D18

SET 34

A School consisting of a total of 1560 students has boys and girls in the ratio of 7 5

respectively All the students are enrolled for different country tours viz Russia Switzerland

and Japan One-fifth of the boys are enrolled for only Switzerland tour Twenty percent of

the girls are enrolled for only Japan tour Ten percent of the boys are enrolled for only Russia

tour Twenty four percent of the girls are enrolled for both Russia and Switzerland tour

together The number of girls enrolled for only Russia tour is two hundred percent of the

boys enrolled in the same One-thirteenth of the boys are enrolled for all the three tour

together The respective ratio of boys enrolled for Switzerland and Japan tour together to

the girls enrolled for the same is 2 1 respectively Ten percent of the girls are enrolled for

only Switzerland tour whereas eight percent of the girls are enrolled for both Switzerland

and Japan tour together The remaining girls are enrolled for all the three tour together The

number of boys enrolled for Russia and Switzerland tour together is fifty percent of the

number of girls enrolled for the same The remaining boys are enrolled for only Japan tour

127 What is the respective ratio of the number of girls enrolled for only Japan tour and

number of boys enrolled for Switzerland tour together to the number of boys enrolled for

the Japan tour and number of girls enrolled for Switzerland tour together

A7752 B7552 C5275 D5277

128 Number of girls enrolled for only Switzerland Russia and Japantour together is what

percent of the boys together enrolled for the same (Rounded off to two digits after

decimal)

A3757 B5729 C6193 D5522

129 What is the total number of students enrolled for all the three tour and number of

girls enrolled for Switzerland and Russia tour together and number of boys enrolled for

Switzerland and Japan tour together

A395 B2415 C385 D390

130 What is the sum of the total number of boys who are enrolled for Switzerland and

the total number of girls who are enrolled for same tour together

A872 B752 C802 D772

SET 35

A radio station surveyed 200 students to determine the types of music they liked There are

three types of music rock music folk music and classical music The survey revealed that 57

percent liked rock music 25 percent liked folk music and 205 percent liked classical music 14

students liked rock music and folk music 15 students liked rock music and classical music 6

students liked only classical music and folk music 90 of them liked only rock music

131 How many of them liked folk music but not rock music

A36 B41 C30 D44

132 How many of them liked any two types of music only

A15 B16 C19 D25

133 How many students did not like any of the three types

A35 B40 C30 D25

134 What is the ratio of who liked rock and classical music together to the ratio of who

liked only folk music

A51 B3110 C316 D125

SET 36

In a shopping mall there are three different varieties of dress materials Cotton Silk and

Chiffon There are 300 customers visited the Shop 50 of customers purchased Cotton

material 40 of customers purchased Chiffon material and 60 of customers purchased Silk

material The customers who purchased any of two dress materials are 90 20 of

customers who purchased Cotton also purchased other two materials The customers who

purchased only Silk material are 20 more than that of who purchased only Chiffon material

30 Customers are purchased only Silk and Chiffon material

135 How many of them purchased only one variety of dress material

A150 B180 C120 D160

136 How many of them purchased at least two types of dress materials

A90 B100 C120 D140

137 What is the percentage of the customers who purchased only Silk material to that of

the customers who purchased all types of dress material

A30043 B30553 C35523 D23333

138 How many of them did not purchase any of the three types of materials

A10 B15 C5 D None

SET 37

In a sports event six teams (A B C D E and F) are competing against each other Matches

are scheduled in two stages Each team plays three matches in stage ndash I and two matches in

Stage ndash II No team plays against the same team more than once in the event No ties are

permitted in any of the matches The observations after the completion of Stage ndash I and

Stage ndash II are as given below

Stage-I

bull One team won all the three matches

bull Two teams lost all the matches

bull D lost to A but won against C and F

bull E lost to B but won against C and F

bull B lost at least one match

bull F did not play against the top team of Stage-I

Stage-II

bull The leader of Stage-I lost the next two matches

bull Of the two teams at the bottom after Stage-I one team won both matches while the

other lost both matches

bull One more team lost both matches in Stage-II

139 The two teams that defeated the leader of Stage-I are

A F amp D B E amp F C B amp D D E amp D

140 The only team(s) that won both matches in Stage-II is (are)

A B B E amp F C A E amp F D B E amp F

141 The teams that won exactly two matches in the event are

A A D amp F B D amp E C E amp F D D amp F

142 The team(s) with the most wins in the event is (are)

A A B A amp C C B amp E D E

SET 38

Two traders Chetan and Michael were involved in the buying and selling of MCS shares

over five trading days At the beginning of the first day the MCS share was priced at ₹100

while at the end of the fifth day it was priced at ₹110 At the end of each day the MCS share

price either went up by ₹10 or else it came down by ₹10 Both Chetan and Michael took

buying and selling decisions at the end of each trading day The beginning price of MCS share

on a given day was the same as the ending price of the previous day Chetan and Michael

started with the same number of shares and amount of cash and had enough of both

Below are some additional facts about how Chetan and Michael traded over the five trading

days

middot Each day if the price went up Chetan sold 10 shares of MCS at the closing price On the

other hand each day if the price went down he bought 10 shares at the closing price

middot If on any day the closing price was above ₹110 then Michael sold 10 shares of MCS

while if it was below ₹90 he bought 10 shares all at the closing price

143 If Chetan sold 10 shares of MCS on three consecutive days while Michael sold 10

shares only once during the five days what was the price of MCS at the end of day 3

A ₹ 90 B ₹100 C ₹110 D ₹120

144 If Chetan ended up with ₹1300 more cash than Michael at the end of day 5 what

was the price of MCS share at the end of day 4

A ₹90 B ₹100 C ₹110 D₹120

145 If Michael ended up with 20 more shares than Chetan at the end of day 5 what was

the price of the share at the end of day 3

A₹90 B ₹100 C ₹110 D ₹120

146 If Michael ended up with ₹100 less cash than Chetan at the end of day 5 what was

the difference in the number of shares possessed by Michael and Chetan (at the end of day

5)

A Michael had 10 less shares than Chetan

B Michael had 10 more shares than Chetan

C Chetan had 10 more shares than Michael

D Both had the same number of shares

SET 39

Bankatlal acted as a judge for the beauty contest There were four participants viz Ms

Andhra Pradesh Ms Uttar Pradesh Ms West Bengal and Ms Maharashtra Mrs Bankatlal

who was very anxious about the result asked him about it as soon as he was back home

Bankatlal just told that the one who was wearing the yellow saree won the contest When

Mrs Bankatlal pressed for further details he elaborated as follows

I All of them were sitting in a row

II All of them wore sarees of different colors viz Green Yellow White Red

III There was only one runner up and she was sitting beside Ms Maharashtra

IV The runner up was wearing the Green saree

V Ms West Bengal was not sitting at the ends and was not a runner up

VI The winner and the runner up are not sitting adjacent to each other

VII Ms Maharashtra was wearing white saree

VIII Ms Andhra Pradesh was not wearing the Green saree

IX Participants wearing Yellow saree and White saree were at the ends

147 Who wore the Red saree A Ms Andhra Pradesh B Ms West Bengal C Ms Uttar Pradesh D Ms Maharashtra

148 Ms West Bengal was sitting adjacent to A Ms Andhra Pradesh and Ms Maharashtra B Ms Uttar Pradesh and Ms Maharashta C Ms Andhra Pradesh and Ms Uttar Pradesh D Ms Uttar Pradesh only

149 Which saree was worn by Ms Andhra Pradesh A Yellow B Red C Green D White

150 Who was the runner up

A Ms Andhra Pradesh B Ms West Bengal

C Ms Uttar Pradesh D Ms Maharashta

SET 40

Ghosh Babu goes to a casino in Kay - Kay islands where he comes across an interesting game

of cards The visitor playing the game is called the player amp the clubman is called the dealer

The rules of the game are as follows First the player picks the card This card is called the

base card amp the number on the face of the card is called the base value of the card Ace

King Queen amp Jack all have base value of 10 The dealer pays the player same number of

rupees as the base value of the card Now the dealer picks a card amp This is called the top

card If topcard is of the same suite then the player pays the dealer double the amount of

base value If it is of the same colour but not the same suite then the player pays the dealer

the amount of a bse value If it is of different colour then the dealer pays the player the

amount of base value Ghosh Babu plays the game 4 times First time he draws 8 of club amp

the dealer draws jack of club Second time he draws 10 of hearts amp the dealer draws 2 of

spade Third time he draws 6 of diamond amp the dealer draws 1 of heart Finally Ghosh Babu

draws 8 of spade and the dealer draws ace of the spade

151 If Ghosh Babu should leave the game when his profit is maximum then what is that

profit

A 12 B 18 C 20 D None of these

152 If Ghosh Babu did not have to borrow any money from anyone then what is the

minimum amount that he could have started with

A 16 B 24 C 8 D None of these

153 If Ghosh Babu is left with 100 rupees now what is the amount that he had started

with

A 120 B 104 C 96 D None of these

SET 41

Twenty one participants from four continents (Africa Americas Australasia and Europe)

attended a United Nations conference Each participant was an expert in one of four fields

labour health population studies and refugee relocation The following five facts about the

participants are given

I The number of labour experts in the camp was exactly half the number of experts in each

of the three other categories

II Africa did not send any labour expert Otherwise every continent including Africa sent at

least one expert for each category

III None of the continents sent more than three experts in any category

IV If there had been one less Australasian expert then the America would have had twice

many experts as each of the other continents

V Mike and Alfanso are leading experts of population studies who attended the conference

They are from Australasia

154 Which of the following numbers cannot be determined from the information given

A Number of labour experts from the Americas

B Number of health experts from Europe

C Number of health experts from Australasia

D Number of experts in refugee relocation from Africa

155 Which of the following combinations is NOT possible

A 2 experts in population studies from the Americas and 2 health experts from Africa

attended the conference

B 2 experts in population studies from the Americas and 1 health expert from Africa

attended the conference

C 3 experts in refugee relocation from the Americas and 1 health expert from Africa

attended the conference

D Africa and America each had 1 expert in population studies attending the conference

156 If Ramos is the lone America expert in population studies which of the following is

NOT true about the numbers of experts in the conference from the four continents

A There is one expert in health from Africa

B There is one expert in refugee relocation from Africa

C There are two experts in health from the Americas

D There are three experts in refugee relocation from the Americas

157 Alex an American expert in refugee relocation was the first keynote speaker in the

conference What can be inferred about the number of American experts in refugee

relocation in the conference excluding Alex (i) At least one (ii) Atmost two

A Only (i) and not (ii) B Only (ii) and not (i)

C Both (i) and (ii) D Neither (i) nor (ii)

SET 42

Help Distress (HD) is an NGO involved in providing assistance to people suffering from

natural disasters Currently it has 37 volunteers They are involved in three projects

Tsunami Relief (TR) in Tamil Nadu Flood Relief (FR) in Maharashtra and Earthquake Relief

(ER) in Gujarat Each volunteer working with Help Distress has to be involved in at least one

relief work project

bull A Maximum number of volunteers are involved in the FR project Among them the

number of volunteers involved in FR project alone is equal to the volunteers having

additional involvement in the ER project

bull The number of volunteers involved in the ER project alone is double the number of

volunteers involved in all the three projects

bull 17 volunteers are involved in the TR project

bull The number of volunteers involved in the TR project alone is one less than the number of

volunteers involved in ER project alone

bull Ten volunteers involved in the TR project are also involved in at least one more project

158 Based on the information given above the minimum number of volunteers involved

in both FR and TR projects but not in the ER project is

A 1 B 3 C 4 D 5

159 Which of the following additional information would enable to find the exact

number of volunteers involved in various projects

A Twenty volunteers are involved in FR B Four volunteers are involved in all the three projects C Twenty three volunteers are involved in exactly one project D No need for any additional information

160 After some time the volunteers who were involved in all the three projects were

asked to withdraw from one project As a result one of the volunteers opted out of the TR

project and one opted out of the ER project while the remaining ones involved in all the

three projects opted out of the FR project Which of the following statements then

necessarily follows

A The lowest number of volunteers is now in TR project B More volunteers are now in FR project as compared to ER project C More volunteers are now in TR project as compared to ER project D None of the above

161 After the withdrawal of volunteers as indicated in Question 85 some new

volunteers joined the NGO Each one of them was allotted only one project in a manner such

that the number of volunteers working in one project alone for each of the three projects

became identical At that point it was also found that the number of volunteers involved in

FR and ER projects was the same as the number of volunteers involved in TR and ER projects

Which of the projects now has the highest number of volunteers

A ER B FR C TR D Cannot be determined

SET 43

Mathematicians are assigned a number called Erdoumls number (named after the famous

mathematician Paul Erdoumls) Only Paul Erdoumls himself has an Erdoumls number of zero Any

mathematician who has written a research paper with Erdoumls has an Erdoumls number of 1 For

other mathematicians the calculation of hisher Erdoumls number is illustrated below

Suppose that a mathematician X has co-authored papers with several other mathematicians

From among them mathematician Y has the smallest Erdoumls number Let the Erdoumls number

of Y be y Then X has an Erdoumls number of y + 1 Hence any mathematician with no co-

authorship chain connected to Erdoumls has an Erdoumls number of infinity In a seven day long

mini-conference organized in memory of Paul Erdoumls a close group of eight mathematicians

call them A B C D E F G and H discussed some research problems At the beginning of the

conference A was the only participant who had an infinite Erdoumls number Nobody had an

Erdoumls number less than that of F

bull On the third day of the conference F co-authored a paper jointly with A and C This

reduced the average Erdoumls number of the group of eight mathematicians to 3 The Erdoumls

numbers of B D E G and H remained unchanged with the writing of this paper Further no

other co-authorship among any three members would have reduced the average Erdoumls

number of the group of eight to as low as 3

bull At the end of the third day five members of this group had identical Erdoumls numbers while

the other three had Erdoumls numbers distinct from each other

bull On the fifth day E co-authored a paper with F which reduced the grouprsquos average Erdoumls

number by 05 The Erdoumls numbers of the remaining six were unchanged with the writing of

this paper

bull No other paper was written during the conference

162 The Erdoumls number of C at the end of the conference was

A 1 B 2 C 3 D 4

163 The Erdoumls number of E at the beginning of the conference was

A 5 B 6 C 7 D 8

164 How many participants had the same Erdoumls number at the beginning of the

conference

A 2 B 3 C 4 D 5

SET 44

K L M N P Q R S U and W are the only ten members in a department There is a proposal

to form a team from within the members of the department subject to the following

conditions

bull A team must include exactly one among P R and S

bull A team must include either M or Q but not both

bull If a team includes K then it must also include L and vice versa

bull If a team includes one among S U and W then it must also include the other two

bull L and N cannot be members of the same team

bull L and U cannot be members of the same team

The size of a team is defined as the number of members in the team

165 Who can be a member of a team of size 5

A K B L C M D P

166 Who cannot be a member of a team of size 3

A L B M C N D P

167 What could be the size of a team that includes K

A 2 or 3 B 2 or 4 C 3 or 4 D Only 4

168 In how many ways a team can be constituted so that the team includes N

A 2 B 3 C 4 D 6

SET 45

(i) There are three houses on each side of the road

(ii) These six houses are labeled as P Q R S T and U

(iii) The houses are of different colours namely Red Blue Green Orange Yellow and

White

(iv) The houses are of different heights

(v) T the tallest house is exactly opposite to the Red coloured house

(vi) The shortest house is exactly opposite to the Green coloured house

(vii) U the Orange coloured house is located between P and S

(viii) R the Yellow coloured house is exactly opposite to P

(ix) Q the Green coloured house is exactly opposite to U

(x) P the White coloured house is taller than R but shorter than S and Q

169 Which is the second tallest house

A P B S C Q D cannot be determined

170 What is the colour of the house diagonally opposite to the Yellow coloured house

A White B Blue C Green D Red

171 What is the colour of the tallest house

A Red B Blue C Green D Yellow

SET 46

A leading socialite decided to organise a dinner and invited a few of her friends Only the

host and the hostess were sitting at the opposite ends of a rectangular table with three

persons along each side The pre-requisite for the seating arrangement was that each person

must be seated such that atleast on one side it has a person of opposite sex Maqbool is

opposite Shobha who is not the hostess Ratan has a woman on his right and is sitting

opposite a woman Monisha is sitting to the hostessrsquos right next to Dhirubhai One person is

seated between Madhuri and Urmila who is not the hostess The men were Maqbool Ratan

Dhirubhai and Jackie while the women were Madhuri Urmila Shobha and Monisha

172 The eighth person present Jackie must be I the host II seated to Shobarsquos right III

seated opposite Urmila

A I only B III only C I and II only D II and III only

173 Which of the following persons is definitely not seated next to a person of the same

sex

A Maqbool B Madhuri C Jackie D Shobha

174 If Ratan would have exchanged seats with a person four places to his left which of

the following would have been true after the exchange

I No one was seated between two persons of the opposite sex (eg no man was seated

between two women)

II One side of the table consisted entirely of persons of the same sex

III Either the host or the hostess changed seats

A I only B II only C I and II only D II and III only

175 If each person is placed directly opposite his or her spouse which of the following

pairs must be married

A Ratan and Monisha B Madhuri and Dhirubhai

C Urmila and Jackie D Ratan and Madhuri

SET 47

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

Jose to manage placement of software professionals in the US It is planning to relocate two of the three managers and three of the five recruitment agents to the office at San Jose As it is an organization which is highly people oriented the management wants to ensure that the individuals who do not function well together should not be made as a part of the team going to the US The following information was available to the HR department of People Power Corporation Managers A and C are at each otherrsquos throat and therefore cannot be sent as a team to the new office C and E are excellent performers in their own right However they do not function together as a team They should be separated D and G have had a major misunderstanding during the last office picnic After the picnic these two have not been in speaking terms and should therefore not be sent as a team D and F are competing for a promotion that is due in another 3 months They should not be a team

55 If D goes to the new office which of the following is (are) true I C cannot go II A cannot go III H must also go A I only B II and III only C I and III only D I II and III

56 If A is to be moved as one of the Managers which of the following cannot be a possible working unit A ABDEH B ABFGH C ABEGH D ABDGH

57 If C and F are moved to the new office how many combinations are possible A 4 B 1 C 3 D 5

58 Given the group dynamics of the Managers and the recruitment agents which of the following is sure to find a berth in the San Jose office A B B H C G D E SET 16 Ghosh Babu took voluntary retirement in Dec 1991 and received a certain amount of money as retirement benefits On Jan 1 1992 he invested the entire amount in shares At the end of the month he sold all his shares and realised 25 profit On Feb 1 he reinvested the entire amount in shares which he sold at the end of the month at a loss of 20 Again he invested the entire amount on Mar 1 in a new company At the end of the month he sold the new company to a friend and realised a profit of 20 in the process He invested the entire amount in shares on Apr 1 which he sold at the end of the month for Rs 108000 incurring a loss of 10

59 What is the amount of retirement benefits received by Ghosh Babu A Rs 108000 B Rs 125000 C Rs 120000 D Rs 100000

60 The percentage profit received by Ghosh Babu between Jan 1 and Apr 30 is A 800 B 1500 C - 1000 D None of these

61 The amount of loss incurred by Ghosh Babu based on his operation in Apr 1992 is A Rs 25000 B Rs 12000 C Rs 20000 D Rs 8000

62 The maximum amount invested by Ghosh Babu in any one month was in A January B February C March D April SET 17 A school consisting of a total of 1560 students has boys and girls in the ratio of 7 5 respectively All the students are enrolled in different types of hobby classes viz Singing Dancing and Painting One-fifth of the boys are enrolled in only Dancing classes Twenty per cent of the girls are enrolled in only Painting classes Ten percent of the boys are enrolled in

only Singing classes Twenty-four per cent of the girls are enrolled in both Singing and Dancing classes together The number of girls enrolled in only Singing classes is two hundred per cent of the boys enrolled in the same One-thirteenth of the boys are enrolled in all the three classes together The respective ratio of boys enrolled in Dancing and Painting classes together to the girls enrolled in the same is 2 1 respectively Ten per cent of the girls are enrolled in only Dancing classes whereas eight per cent of the girls are enrolled in both Dancing and Painting classes together The remaining girls are enrolled in all the three classes together The number of boys enrolled in Singing and Dancing classes together is fifty per cent of the number of girls enrolled in the same The remaining boys are enrolled in only Painting classes

63 Total number of girls enrolled in Singing is approximately what per cent of the total number of students in the school A 37 B 19 C 32 D 26

64 What is the respective ratio of the number of girls enrolled in only Painting classes to the number of boys enrolled in the same A 77 26 B 21 73 C 26 77 D 73 21

65 Number of girls enrolled in only Dancing classes is what per cent of the boys enrolled in the same A 3867 B 3571 C 4183 D 2862

66 What is the total number of boys who are enrolled in Dancing A 318 B 364 C 292 D 434 SET 18 Not surprisingly the growth of the hotel industry is driven by the increase in the number of people using hotels and the increase in per person use of the hotel In 2004 it is expected that there will be 200 million hotel users in India or about 20 per cent of the population will generate Rs 50 billion in hotel revenues Industry revenues should expand from Rs 50 billion to Rs 150 billion by 2008 while the number of users should grow to over 560 million or to about half the population of India in the same period

67 What is the estimated population of India in 2004 A 98 crore B 100 crore C 110 crore D 115 crore

68 What will be the simple average growth rate of population of India in the given period 2004-2008 A 2

B 3 C 4 D 45

69 What will be the growth in percentage of users in India by 2008 A 100 B 150 C 180 D 200

70 What will be the percentage growth of the revenues of the hotel industry in the given period A 200 B 230 C 260 D 300 SET 19 Bihar and Orissa are the most deprived states of India While they contain one-fifth of Indiarsquos population they have almost one-third of Indiarsquos illiterates In 1998 only a small fraction of Orissa and Biharrsquos population was literate versus 85 per cent of Keralarsquos population More than two-thirds of the births are not attended by any medical facility 110th of the infants born in Orissa and Bihar die in infancy and an equal number before reaching the age of five Almost 90 per cent of the under five deaths are due to malnutrition From amongst the lucky kids who have survived for the first five years 13rd of them work as child labourers and only half of the remaining are sent to school Of those who attend classed only 40 per cent are able to reach Std V In India 30 per cent of the children under 16 work as labourers Orissa and Bihar contain 13rd of the child labourers in India India has the largest population of child labourers which is 115th of its total population In Orissa and Bihar out of 100 children enrolled in school 32 are girls And out of 100 who attend Std X only 10 are girls Only 38 out of 100 Indian women are literate versus 57 per cent of males Even in wealthy states such as Punjab girls suffer from malnutrition seven times more than boys do The total population of the country was 90 crore in 1998 and the ratio of male to female in India was 10 to 9

71 According to the information provided what percentage of the infants in Orissa and Bihar attend Std V A 1133 B 1066 C 1333 D 1233

72 The number of child labourers in India in 1998 are A 15 crore B 16 crore C 12 crore D 6 crore

73 The Orissa and Bihar out of 100 born approximately how many children work as child labourers A 27 B 32 C 13 D 38

74 What percentage of girl children enrolled in school reach Std X in Orissa and Bihar

A 10 B 32 C 60 D Insufficient data SET 20 AMS Inc is the leader in selling ideas universe wide but its maximum revenue comes from three principal planets only viz Earth Mars Jupiter Further it has three products viz CSP CC and CP In a particular year the number of units sold had a distribution as follows The number of units of CCs sold on Mars was 12 per cent of the number of units of CPs sold on Earth The number of units of CPs sold on Jupiter was 1000 Total number of CC units sold was 2600 Total number of CP units was 200 higher than that of the total number of units of CCs sold The number of units of CSP sold on Mars was 10 per cent of the number of units of CP sold on Jupiter The number of units of CSP sold on Earth was 2000 The number of units of CC sold on Earth was 15 per cent of the number of units CSP sold on Jupiter The prices of the units on the different planets were as follows Earth rarr Rs 15 per unit Mars rarr Rs 10 per unit Jupiter rarrRs 8 per unit The number of units of CSP sold on Jupiter was 300 The number of units of CP sold on Earth was 600

75 The number of units of CC sold on Jupiter is A 1520 B 2483 C 3423 D 600

76 The revenue generated on Earth is greater than that generated on Jupiter by about A Rs 8000 B Rs 9000 C Rs 10000 D None of these

77 The overall revenue generated is the highest from A CSPs B CP C CCs D Canrsquot be determined SET 21 An organization consists of 3500 employees working in different departments viz HR Marketing IT Production and Accounts The ratio of male to female employees in the organisation is 3 2 8 of the males work in the HR department 22 of the female work in the account department The ratio of males to females working in the HR department is 3 5 Oneseventh of the females work in the IT department 46 of the males work in the

Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

78 The number of males working in the Account department forms approximately what percent of the total number of males in the organisation A 6 B 8 C 10 D 11

79 How many females work in Production department A 140 B 200 C 180 D None

80 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A 28 B 32 C 29 D 31

81 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A 15 8 B 1 2 C 8 15 D 2 1

SET 22 A B and C started a business by investing Rs 800 Rs 1600 and Rs 2000 respectively After a quarter they invested amounts in a ratio 1 4 2 After another quarter they invested amounts in ratio 3 2 3In the last quarter the ratio of investments was same as in 2nd quarter Also in the last quarter the respective amounts of A B and C was double than the respective amounts invested in 2nd quarter The total investment of C before 4th quarter was Rs 1400 more than that of A during same duration Also ratio of Brsquos share in profit to total profit at the end of year was 66 153

82 Find the total investment of A B and C A Rs 10200 B Rs 11300 C Rs 9800 D Rs 10080

83 If they respectively had invested same amounts in each quarter after quarter 1 which is equal to their respective investments in quarter 1 then what would be the profit of A at the end of year out of a total profit of Rs 19350 A Rs 2510 B Rs 3320 C Rs 2560 D Rs 3150

84 If the respective investments in third quarter was changed and this was in ratio 2 4 1 (other investments being the same) then what would be the total investment of all three in third quarter if the average investment of all A B and C was Rs 3100 for whole year A Rs 500 B Rs 800 C Rs 700 D Rs 900 SET 23 The total population of village satana is 3550 out of which 36 people are below poverty line The total population of Satana is 11 frac14 less than the total population of amin while there are 29 people in amin who lives below poverty line In Nilokheri the people living below poverty line are 40 more than that in amin which is 40 of the total population of this village The average population of Gharaunda and Samalkha is equal to the average population of amin and Nilokheri while the difference between their population is 1800 (Village Samalkha is more populated) 47 of the population of Gharaunda are below poverty line Overall 46 of the population of all villagesrsquo together lives below poverty line

85 What percent of population of Samalkha lives above poverty line (Approximate) A 26 B 27 C 28 D 29

86 Find the approximate average no of people below poverty line in the given villages A 1610 B 1620 C 1615 D 1320

87 If 35 of the BPL population of Nilokheri are children while 30 of the overall population of this village are children Then what percent of population above poverty line are children A 25 B 30 C 26 13 D 26 23

88 What is the difference between total population of Nilokheri and that of Gharaunda A 300 B 200 C 250 D 400

SET 24

Gaurav a sweet seller bought some quantity of three types of sweets Rasgulla Rasmalai and Kalakand in ratio of 6 10 9 Kalakand costed him a total of Rs 18900 at rate of 420 per kg By selling Kalakand at a discount of 5 he earned a profit of 13 221 On Rasmalai (which was marked Rs 500 per kg) he earned Rs 5 less profit per kg as compared to that on Kalakand by selling Rasmalai at 10 discount Gaurav spent a total of Rs 46400 on buying these sweets while he earned a total profit of Rs 5875 on selling all bought sweets Rasgullas were marked 40 above cost price per kg

89 What is the difference between the number of Accord cars sold by dealers D and E together

and the number of City cars sold by dealers B and F together A 3658 B 3712 C 4205 D 3252

90 If Gaurav gave an extra discount of 20 on Kalakand then his gain or loss was

A 9 11

21 profit B 8

11

21 loss C 10

11

23 loss D 9

11

21 loss

91 Find the total quantity of sweets bought by Gaurav A 135 kg B 126 kg C 125 kg D 120 kg

92 If 10kg of Rasmalai was wasted away due to some reason Find profit or loss by selling the remaining Rasmalai as per given condition A 10 loss B 10 gain C 12 loss D 15 loss SET 25 An organization consists of 3500 employees working in different departments viz HR Marketing IT Production and Accounts The ratio of male to female employees in the organisation is 3 2 8 of the males work in the HR department 22 of the female work in the account department The ratio of males to females working in the HR department is 3 5 One-seventh of the females work in the IT department 46 of the males work in the Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

93 The number of males working in the Account department forms approximately what per cent of the total number of males in the organisation A 6 B8 C10 D11

94 How many females work in Production department A 140 B200 C180 DNone of these

95 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A28 B30 C29 D31

96 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A158 B12 C815 D21 SET 26

In the recently held Commonwealth Games a total number of 500 players participated in five different games viz Athletics Hockey Lawn Tennis Rugby and Badminton 15 of the total players participated in Badminton 25 of the total players participated in Hockey 6 of the total players participated in Lawn Tennis and 25 of the total players participated in Athletics The remaining players participated in Rugby One-fourth of the Hockey players are females 20 of the Badminton players are males Half of the players who participated in Lawn Tennis are males There are 55 female athletes No female player participated in Rugby

97 The number of female players who participated in Badminton is approximately what per cent of the total number of players who participated in Rugby A82 B80 C86 D76

98 What is the difference between the number of male players who participated in Hockey and the number of female players who participated in Lawn Tennis A125 B145 C130 D135

99 If due to certain reason Athletics was dropped and all the athletes left the tournament then what was the percentage of male players among the total players remaining in the tournament A4566 B4033 C3533 DNone of these

100 What is the ratio of the total number of male players participating in Badminton to the total number of female players participating in Hockey A353 B310 C510 D325 SET 27 The premises of an institute are to be renovated Only the floor is to be renovated either with marble or with wood All rooms halls and pantry are rectangular The area to be renovated comprises a hall measuring 33m by 39m The directorrsquos room measures 13m by 12m and the pantry measures 14m by 12m A record keeping-cum-server room measures 23m by 13m and the accounts room measures 12m by 23m The total area of the institute is 2500 square metres The cost of wooden flooring is Rs 170 per square metre and the cost of marble flooring is Rs 190 per square metre The accounts room the record keeping-cum-server room and the pantry are to be floored with marble The directorrsquos room and the hall are to be floored with wood

101 What is the ratio of the total cost of wooden flooring to the total cost of marble flooring A 1443 735 B 8177 4655 C 1443 4655 D 24531 14117

102 If four walls and ceiling of the room (the height of the room is 15 metres) are to be painted at the cost of Rs 190 per square metre how much will be the total cost of renovation of the directorrsquos room including the cost of flooring A 198660 B 178680 C 198880 D 22876

103 If the remaining area of the institute is to be carpeted at the rate of Rs 210 per square metre by how much will the cost of renovation of institute premises increase A 75000 B72840 C65940 D 75940

104 What is the percentage area of the institute that is not to be renovated A1644 B1356 C1455 D1256

SET 28 A total of 1650 students are studying in an engineering college in different departments The ratio of male students to female students in the college is 8679 The college had a total of 5 departments which are mechanical civil electrical Biotechnology and computer science Total 198 males study in the mechanical department 18 students study in the civil department in which male to female ratio is 54 In the biotechnology department 77 male students are studying and the number of female students in this department is 57th of the number of males The total number of male students in the civil department is equal to the number of female students in the mechanical department The number of males in biotechnology department is half of the number of total male students in computer science department In the electrical department the male to female ratio is 1419

105 The number of male students in electrical department is how much more than female students in mechanical

106 Female students in electrical department is what of the total number of females in the college (approximately) SET 29 During the period 1990-91 to 1994-95 the unit sales of Motorcycles witnessed a simple average growth rate of 45 and the unit price experienced a simple average growth rate of 41 In the year 1990-91 amp 1992-93 the selling price of motorcycle was Rs 50000 The unit selling price rose by Rs 2500 each in the years 1991-92 and 1994-95 Between 1990-91 and 1992-93 unit sales increased by 155 In 1992-93 approx 2888 units and in 1993-94 3000 units were sold In 1991-92 the sales increased by Rs 1281 crore and number of units sold increased by 125

107 The rupee sales of the motorcycles in 1990-91 is A Rs 180crore B Rs 125crore C Rs 135crore D Rs 100crore

108 How many motorcycles were sold in 1991-92 A 2500 B 2625 C 3050 D 4000

109 How many motorcycles were sold during the period 1990-91 to 1994-95 A 15025 B 14005 C 14076 D 15000

110 What is the selling price of a motorcycle in 1993-94 A Rs 50000 B Rs 52500 C Rs 57750 D Rs 60000

SET 30 Mlon huskthe space Y inventor took his team of scientist to newly found planetrdquoEuro Chandrdquo The team agreed on the condition that they will not do any research during their visit but will only do rest But Husk as per his nature observed various phenomenon on new planet including the gravitational pull He observed that a kg on earth is equivalent to 12 kg on Euro chand except kg on new planet is called Euroc Slen weighs 552 Euroc weighs heavier than all except Plen who weighs 108 Euroc more Olen the lightest weighs 252 Euroc less than Dlen Jlen weighs 48 Euroc less than Slen and 48 Euroc more than Dlen

111 What is the weight of Plen (in Kg) A55 B46 C17 D48

112 What is the weight of Olen (in Euronc ) A505 B246 C218 D204

113 Approximately how many times is the weight of Plen that of Dlen A145 B107 C218 D214

114 Weight of Dlen is what moreless than weight of Jlen

A111 B108 C95 D121 SET 31 In a MNC there are 5000 employees In that there are 6 departments ie Accounts department maintenance-admin department HR department production department RampD department marketing department In maintenance- admin department there is 15 of total number of employees In that 40 are females Total number of persons working in RampD department is equal to total number of males working in maintenance department Male to female ratio of RampD is 45In production department 1500 persons are working there are males only In HR department the number of persons working is 15 of number of persons working in production department where 80 are females The number of people working in Accounts department is 60 of production department in that number of females are 550 The number of female in marketing department 500

115 Total number of males in RampD department is what percentage of total number of males in the marketing department A50 B 375 C 33 13 D1007

116 What is the percentage increasedecrease in total number of females in HR department to the total number of males in maintenance ndash admin department A5334 increase B5334 decrease C4666 increase D4666decrease

117 What is the difference between total number of males in marketing department to total number of females in the accounts department A75 B50 C60 D90

118 What is the ratio of total number of males in HR department to the total number of females in maintenance ndash admin department A15 B27 C35 D47 SET 32

According to A the census has been taken by the Government for literacy rate in two villages

A and B total population is 6 00000 In which the ratio between total numbers of males to

total number of females is 53 and the ratio of total population in village A to village B is 1713

The ratio of number of males in village A to number of males in village B is 78Total Ratio of

literate to illiterate (in men) 41 Out of total women only 35 are literates Total percentage

of adults is 80 ( m f = 53) in total population and in remaining 10 are children all other

peoples are senior citizens

119 What is the difference between literate people to total number of senior citizens

A378750 B78750 C270750 D221250

120 Total number of literate males in village A (if 45 of literate males are in Village A) is what percentage of total number of illiterate Females (Approximately) A97 B92 C89 D85

121 What is the ratio of males in village B to Adult females in the survey A54 B45 C910 D109

122 What is the increasedecrease in percentage of total number children to the

difference between the populations of village A to village B

A85 decrease B 85 increase C 95 increase D95 decrease

SET 33 Acity consists of 2400 employees working in different IT companies viz TCS Infosys Wipro Tech Mahindra and Oracle The ratio of male to female employees in the city is 5 3 respectively Twelve per cent of the males work in the TCS Company Twenty four per cent of the females work in the Oracle Company The ratio of males to females working in the TCS company is 6 11 respectively One-ninth of the females work in the Wipro Company Forty two percent of the males work in the Tech Mahindra Company Number of females working in the Tech Mahindra Company is ten percent of the males working in the same The remaining females work in the Infosys Company The total number of employees working in the Wipro Company is 285 Twenty two percent of the males work in the Infosys Company and the remaining work in the Oracle Company

123 The number of females working in the Tech Mahindra Company TCS Company and Infosys company together forms what percent of the total number of females in the City A6488 B5765 C 4896 D7527

124 The total number of females working in the TCS and Infosys Company together

forms what percent of the total number of employees in Tech Mahindra Company

A7018 B8047 C 7526 D7518

125 What is the difference between the number of males in Infosys Company and

number of females to the Oracle Company together to the number of males in Tech

Mahindra Company and number of females to the TCS Company together

A434 B427 C404 D414

126 The number of males working in the Wipro Company and the number of females

working in the Infosys Company together forms approximately what percent of the total

number of males in the City (Rounded off the nearest percentage)

A50 B25 C21 D18

SET 34

A School consisting of a total of 1560 students has boys and girls in the ratio of 7 5

respectively All the students are enrolled for different country tours viz Russia Switzerland

and Japan One-fifth of the boys are enrolled for only Switzerland tour Twenty percent of

the girls are enrolled for only Japan tour Ten percent of the boys are enrolled for only Russia

tour Twenty four percent of the girls are enrolled for both Russia and Switzerland tour

together The number of girls enrolled for only Russia tour is two hundred percent of the

boys enrolled in the same One-thirteenth of the boys are enrolled for all the three tour

together The respective ratio of boys enrolled for Switzerland and Japan tour together to

the girls enrolled for the same is 2 1 respectively Ten percent of the girls are enrolled for

only Switzerland tour whereas eight percent of the girls are enrolled for both Switzerland

and Japan tour together The remaining girls are enrolled for all the three tour together The

number of boys enrolled for Russia and Switzerland tour together is fifty percent of the

number of girls enrolled for the same The remaining boys are enrolled for only Japan tour

127 What is the respective ratio of the number of girls enrolled for only Japan tour and

number of boys enrolled for Switzerland tour together to the number of boys enrolled for

the Japan tour and number of girls enrolled for Switzerland tour together

A7752 B7552 C5275 D5277

128 Number of girls enrolled for only Switzerland Russia and Japantour together is what

percent of the boys together enrolled for the same (Rounded off to two digits after

decimal)

A3757 B5729 C6193 D5522

129 What is the total number of students enrolled for all the three tour and number of

girls enrolled for Switzerland and Russia tour together and number of boys enrolled for

Switzerland and Japan tour together

A395 B2415 C385 D390

130 What is the sum of the total number of boys who are enrolled for Switzerland and

the total number of girls who are enrolled for same tour together

A872 B752 C802 D772

SET 35

A radio station surveyed 200 students to determine the types of music they liked There are

three types of music rock music folk music and classical music The survey revealed that 57

percent liked rock music 25 percent liked folk music and 205 percent liked classical music 14

students liked rock music and folk music 15 students liked rock music and classical music 6

students liked only classical music and folk music 90 of them liked only rock music

131 How many of them liked folk music but not rock music

A36 B41 C30 D44

132 How many of them liked any two types of music only

A15 B16 C19 D25

133 How many students did not like any of the three types

A35 B40 C30 D25

134 What is the ratio of who liked rock and classical music together to the ratio of who

liked only folk music

A51 B3110 C316 D125

SET 36

In a shopping mall there are three different varieties of dress materials Cotton Silk and

Chiffon There are 300 customers visited the Shop 50 of customers purchased Cotton

material 40 of customers purchased Chiffon material and 60 of customers purchased Silk

material The customers who purchased any of two dress materials are 90 20 of

customers who purchased Cotton also purchased other two materials The customers who

purchased only Silk material are 20 more than that of who purchased only Chiffon material

30 Customers are purchased only Silk and Chiffon material

135 How many of them purchased only one variety of dress material

A150 B180 C120 D160

136 How many of them purchased at least two types of dress materials

A90 B100 C120 D140

137 What is the percentage of the customers who purchased only Silk material to that of

the customers who purchased all types of dress material

A30043 B30553 C35523 D23333

138 How many of them did not purchase any of the three types of materials

A10 B15 C5 D None

SET 37

In a sports event six teams (A B C D E and F) are competing against each other Matches

are scheduled in two stages Each team plays three matches in stage ndash I and two matches in

Stage ndash II No team plays against the same team more than once in the event No ties are

permitted in any of the matches The observations after the completion of Stage ndash I and

Stage ndash II are as given below

Stage-I

bull One team won all the three matches

bull Two teams lost all the matches

bull D lost to A but won against C and F

bull E lost to B but won against C and F

bull B lost at least one match

bull F did not play against the top team of Stage-I

Stage-II

bull The leader of Stage-I lost the next two matches

bull Of the two teams at the bottom after Stage-I one team won both matches while the

other lost both matches

bull One more team lost both matches in Stage-II

139 The two teams that defeated the leader of Stage-I are

A F amp D B E amp F C B amp D D E amp D

140 The only team(s) that won both matches in Stage-II is (are)

A B B E amp F C A E amp F D B E amp F

141 The teams that won exactly two matches in the event are

A A D amp F B D amp E C E amp F D D amp F

142 The team(s) with the most wins in the event is (are)

A A B A amp C C B amp E D E

SET 38

Two traders Chetan and Michael were involved in the buying and selling of MCS shares

over five trading days At the beginning of the first day the MCS share was priced at ₹100

while at the end of the fifth day it was priced at ₹110 At the end of each day the MCS share

price either went up by ₹10 or else it came down by ₹10 Both Chetan and Michael took

buying and selling decisions at the end of each trading day The beginning price of MCS share

on a given day was the same as the ending price of the previous day Chetan and Michael

started with the same number of shares and amount of cash and had enough of both

Below are some additional facts about how Chetan and Michael traded over the five trading

days

middot Each day if the price went up Chetan sold 10 shares of MCS at the closing price On the

other hand each day if the price went down he bought 10 shares at the closing price

middot If on any day the closing price was above ₹110 then Michael sold 10 shares of MCS

while if it was below ₹90 he bought 10 shares all at the closing price

143 If Chetan sold 10 shares of MCS on three consecutive days while Michael sold 10

shares only once during the five days what was the price of MCS at the end of day 3

A ₹ 90 B ₹100 C ₹110 D ₹120

144 If Chetan ended up with ₹1300 more cash than Michael at the end of day 5 what

was the price of MCS share at the end of day 4

A ₹90 B ₹100 C ₹110 D₹120

145 If Michael ended up with 20 more shares than Chetan at the end of day 5 what was

the price of the share at the end of day 3

A₹90 B ₹100 C ₹110 D ₹120

146 If Michael ended up with ₹100 less cash than Chetan at the end of day 5 what was

the difference in the number of shares possessed by Michael and Chetan (at the end of day

5)

A Michael had 10 less shares than Chetan

B Michael had 10 more shares than Chetan

C Chetan had 10 more shares than Michael

D Both had the same number of shares

SET 39

Bankatlal acted as a judge for the beauty contest There were four participants viz Ms

Andhra Pradesh Ms Uttar Pradesh Ms West Bengal and Ms Maharashtra Mrs Bankatlal

who was very anxious about the result asked him about it as soon as he was back home

Bankatlal just told that the one who was wearing the yellow saree won the contest When

Mrs Bankatlal pressed for further details he elaborated as follows

I All of them were sitting in a row

II All of them wore sarees of different colors viz Green Yellow White Red

III There was only one runner up and she was sitting beside Ms Maharashtra

IV The runner up was wearing the Green saree

V Ms West Bengal was not sitting at the ends and was not a runner up

VI The winner and the runner up are not sitting adjacent to each other

VII Ms Maharashtra was wearing white saree

VIII Ms Andhra Pradesh was not wearing the Green saree

IX Participants wearing Yellow saree and White saree were at the ends

147 Who wore the Red saree A Ms Andhra Pradesh B Ms West Bengal C Ms Uttar Pradesh D Ms Maharashtra

148 Ms West Bengal was sitting adjacent to A Ms Andhra Pradesh and Ms Maharashtra B Ms Uttar Pradesh and Ms Maharashta C Ms Andhra Pradesh and Ms Uttar Pradesh D Ms Uttar Pradesh only

149 Which saree was worn by Ms Andhra Pradesh A Yellow B Red C Green D White

150 Who was the runner up

A Ms Andhra Pradesh B Ms West Bengal

C Ms Uttar Pradesh D Ms Maharashta

SET 40

Ghosh Babu goes to a casino in Kay - Kay islands where he comes across an interesting game

of cards The visitor playing the game is called the player amp the clubman is called the dealer

The rules of the game are as follows First the player picks the card This card is called the

base card amp the number on the face of the card is called the base value of the card Ace

King Queen amp Jack all have base value of 10 The dealer pays the player same number of

rupees as the base value of the card Now the dealer picks a card amp This is called the top

card If topcard is of the same suite then the player pays the dealer double the amount of

base value If it is of the same colour but not the same suite then the player pays the dealer

the amount of a bse value If it is of different colour then the dealer pays the player the

amount of base value Ghosh Babu plays the game 4 times First time he draws 8 of club amp

the dealer draws jack of club Second time he draws 10 of hearts amp the dealer draws 2 of

spade Third time he draws 6 of diamond amp the dealer draws 1 of heart Finally Ghosh Babu

draws 8 of spade and the dealer draws ace of the spade

151 If Ghosh Babu should leave the game when his profit is maximum then what is that

profit

A 12 B 18 C 20 D None of these

152 If Ghosh Babu did not have to borrow any money from anyone then what is the

minimum amount that he could have started with

A 16 B 24 C 8 D None of these

153 If Ghosh Babu is left with 100 rupees now what is the amount that he had started

with

A 120 B 104 C 96 D None of these

SET 41

Twenty one participants from four continents (Africa Americas Australasia and Europe)

attended a United Nations conference Each participant was an expert in one of four fields

labour health population studies and refugee relocation The following five facts about the

participants are given

I The number of labour experts in the camp was exactly half the number of experts in each

of the three other categories

II Africa did not send any labour expert Otherwise every continent including Africa sent at

least one expert for each category

III None of the continents sent more than three experts in any category

IV If there had been one less Australasian expert then the America would have had twice

many experts as each of the other continents

V Mike and Alfanso are leading experts of population studies who attended the conference

They are from Australasia

154 Which of the following numbers cannot be determined from the information given

A Number of labour experts from the Americas

B Number of health experts from Europe

C Number of health experts from Australasia

D Number of experts in refugee relocation from Africa

155 Which of the following combinations is NOT possible

A 2 experts in population studies from the Americas and 2 health experts from Africa

attended the conference

B 2 experts in population studies from the Americas and 1 health expert from Africa

attended the conference

C 3 experts in refugee relocation from the Americas and 1 health expert from Africa

attended the conference

D Africa and America each had 1 expert in population studies attending the conference

156 If Ramos is the lone America expert in population studies which of the following is

NOT true about the numbers of experts in the conference from the four continents

A There is one expert in health from Africa

B There is one expert in refugee relocation from Africa

C There are two experts in health from the Americas

D There are three experts in refugee relocation from the Americas

157 Alex an American expert in refugee relocation was the first keynote speaker in the

conference What can be inferred about the number of American experts in refugee

relocation in the conference excluding Alex (i) At least one (ii) Atmost two

A Only (i) and not (ii) B Only (ii) and not (i)

C Both (i) and (ii) D Neither (i) nor (ii)

SET 42

Help Distress (HD) is an NGO involved in providing assistance to people suffering from

natural disasters Currently it has 37 volunteers They are involved in three projects

Tsunami Relief (TR) in Tamil Nadu Flood Relief (FR) in Maharashtra and Earthquake Relief

(ER) in Gujarat Each volunteer working with Help Distress has to be involved in at least one

relief work project

bull A Maximum number of volunteers are involved in the FR project Among them the

number of volunteers involved in FR project alone is equal to the volunteers having

additional involvement in the ER project

bull The number of volunteers involved in the ER project alone is double the number of

volunteers involved in all the three projects

bull 17 volunteers are involved in the TR project

bull The number of volunteers involved in the TR project alone is one less than the number of

volunteers involved in ER project alone

bull Ten volunteers involved in the TR project are also involved in at least one more project

158 Based on the information given above the minimum number of volunteers involved

in both FR and TR projects but not in the ER project is

A 1 B 3 C 4 D 5

159 Which of the following additional information would enable to find the exact

number of volunteers involved in various projects

A Twenty volunteers are involved in FR B Four volunteers are involved in all the three projects C Twenty three volunteers are involved in exactly one project D No need for any additional information

160 After some time the volunteers who were involved in all the three projects were

asked to withdraw from one project As a result one of the volunteers opted out of the TR

project and one opted out of the ER project while the remaining ones involved in all the

three projects opted out of the FR project Which of the following statements then

necessarily follows

A The lowest number of volunteers is now in TR project B More volunteers are now in FR project as compared to ER project C More volunteers are now in TR project as compared to ER project D None of the above

161 After the withdrawal of volunteers as indicated in Question 85 some new

volunteers joined the NGO Each one of them was allotted only one project in a manner such

that the number of volunteers working in one project alone for each of the three projects

became identical At that point it was also found that the number of volunteers involved in

FR and ER projects was the same as the number of volunteers involved in TR and ER projects

Which of the projects now has the highest number of volunteers

A ER B FR C TR D Cannot be determined

SET 43

Mathematicians are assigned a number called Erdoumls number (named after the famous

mathematician Paul Erdoumls) Only Paul Erdoumls himself has an Erdoumls number of zero Any

mathematician who has written a research paper with Erdoumls has an Erdoumls number of 1 For

other mathematicians the calculation of hisher Erdoumls number is illustrated below

Suppose that a mathematician X has co-authored papers with several other mathematicians

From among them mathematician Y has the smallest Erdoumls number Let the Erdoumls number

of Y be y Then X has an Erdoumls number of y + 1 Hence any mathematician with no co-

authorship chain connected to Erdoumls has an Erdoumls number of infinity In a seven day long

mini-conference organized in memory of Paul Erdoumls a close group of eight mathematicians

call them A B C D E F G and H discussed some research problems At the beginning of the

conference A was the only participant who had an infinite Erdoumls number Nobody had an

Erdoumls number less than that of F

bull On the third day of the conference F co-authored a paper jointly with A and C This

reduced the average Erdoumls number of the group of eight mathematicians to 3 The Erdoumls

numbers of B D E G and H remained unchanged with the writing of this paper Further no

other co-authorship among any three members would have reduced the average Erdoumls

number of the group of eight to as low as 3

bull At the end of the third day five members of this group had identical Erdoumls numbers while

the other three had Erdoumls numbers distinct from each other

bull On the fifth day E co-authored a paper with F which reduced the grouprsquos average Erdoumls

number by 05 The Erdoumls numbers of the remaining six were unchanged with the writing of

this paper

bull No other paper was written during the conference

162 The Erdoumls number of C at the end of the conference was

A 1 B 2 C 3 D 4

163 The Erdoumls number of E at the beginning of the conference was

A 5 B 6 C 7 D 8

164 How many participants had the same Erdoumls number at the beginning of the

conference

A 2 B 3 C 4 D 5

SET 44

K L M N P Q R S U and W are the only ten members in a department There is a proposal

to form a team from within the members of the department subject to the following

conditions

bull A team must include exactly one among P R and S

bull A team must include either M or Q but not both

bull If a team includes K then it must also include L and vice versa

bull If a team includes one among S U and W then it must also include the other two

bull L and N cannot be members of the same team

bull L and U cannot be members of the same team

The size of a team is defined as the number of members in the team

165 Who can be a member of a team of size 5

A K B L C M D P

166 Who cannot be a member of a team of size 3

A L B M C N D P

167 What could be the size of a team that includes K

A 2 or 3 B 2 or 4 C 3 or 4 D Only 4

168 In how many ways a team can be constituted so that the team includes N

A 2 B 3 C 4 D 6

SET 45

(i) There are three houses on each side of the road

(ii) These six houses are labeled as P Q R S T and U

(iii) The houses are of different colours namely Red Blue Green Orange Yellow and

White

(iv) The houses are of different heights

(v) T the tallest house is exactly opposite to the Red coloured house

(vi) The shortest house is exactly opposite to the Green coloured house

(vii) U the Orange coloured house is located between P and S

(viii) R the Yellow coloured house is exactly opposite to P

(ix) Q the Green coloured house is exactly opposite to U

(x) P the White coloured house is taller than R but shorter than S and Q

169 Which is the second tallest house

A P B S C Q D cannot be determined

170 What is the colour of the house diagonally opposite to the Yellow coloured house

A White B Blue C Green D Red

171 What is the colour of the tallest house

A Red B Blue C Green D Yellow

SET 46

A leading socialite decided to organise a dinner and invited a few of her friends Only the

host and the hostess were sitting at the opposite ends of a rectangular table with three

persons along each side The pre-requisite for the seating arrangement was that each person

must be seated such that atleast on one side it has a person of opposite sex Maqbool is

opposite Shobha who is not the hostess Ratan has a woman on his right and is sitting

opposite a woman Monisha is sitting to the hostessrsquos right next to Dhirubhai One person is

seated between Madhuri and Urmila who is not the hostess The men were Maqbool Ratan

Dhirubhai and Jackie while the women were Madhuri Urmila Shobha and Monisha

172 The eighth person present Jackie must be I the host II seated to Shobarsquos right III

seated opposite Urmila

A I only B III only C I and II only D II and III only

173 Which of the following persons is definitely not seated next to a person of the same

sex

A Maqbool B Madhuri C Jackie D Shobha

174 If Ratan would have exchanged seats with a person four places to his left which of

the following would have been true after the exchange

I No one was seated between two persons of the opposite sex (eg no man was seated

between two women)

II One side of the table consisted entirely of persons of the same sex

III Either the host or the hostess changed seats

A I only B II only C I and II only D II and III only

175 If each person is placed directly opposite his or her spouse which of the following

pairs must be married

A Ratan and Monisha B Madhuri and Dhirubhai

C Urmila and Jackie D Ratan and Madhuri

SET 47

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

only Singing classes Twenty-four per cent of the girls are enrolled in both Singing and Dancing classes together The number of girls enrolled in only Singing classes is two hundred per cent of the boys enrolled in the same One-thirteenth of the boys are enrolled in all the three classes together The respective ratio of boys enrolled in Dancing and Painting classes together to the girls enrolled in the same is 2 1 respectively Ten per cent of the girls are enrolled in only Dancing classes whereas eight per cent of the girls are enrolled in both Dancing and Painting classes together The remaining girls are enrolled in all the three classes together The number of boys enrolled in Singing and Dancing classes together is fifty per cent of the number of girls enrolled in the same The remaining boys are enrolled in only Painting classes

63 Total number of girls enrolled in Singing is approximately what per cent of the total number of students in the school A 37 B 19 C 32 D 26

64 What is the respective ratio of the number of girls enrolled in only Painting classes to the number of boys enrolled in the same A 77 26 B 21 73 C 26 77 D 73 21

65 Number of girls enrolled in only Dancing classes is what per cent of the boys enrolled in the same A 3867 B 3571 C 4183 D 2862

66 What is the total number of boys who are enrolled in Dancing A 318 B 364 C 292 D 434 SET 18 Not surprisingly the growth of the hotel industry is driven by the increase in the number of people using hotels and the increase in per person use of the hotel In 2004 it is expected that there will be 200 million hotel users in India or about 20 per cent of the population will generate Rs 50 billion in hotel revenues Industry revenues should expand from Rs 50 billion to Rs 150 billion by 2008 while the number of users should grow to over 560 million or to about half the population of India in the same period

67 What is the estimated population of India in 2004 A 98 crore B 100 crore C 110 crore D 115 crore

68 What will be the simple average growth rate of population of India in the given period 2004-2008 A 2

B 3 C 4 D 45

69 What will be the growth in percentage of users in India by 2008 A 100 B 150 C 180 D 200

70 What will be the percentage growth of the revenues of the hotel industry in the given period A 200 B 230 C 260 D 300 SET 19 Bihar and Orissa are the most deprived states of India While they contain one-fifth of Indiarsquos population they have almost one-third of Indiarsquos illiterates In 1998 only a small fraction of Orissa and Biharrsquos population was literate versus 85 per cent of Keralarsquos population More than two-thirds of the births are not attended by any medical facility 110th of the infants born in Orissa and Bihar die in infancy and an equal number before reaching the age of five Almost 90 per cent of the under five deaths are due to malnutrition From amongst the lucky kids who have survived for the first five years 13rd of them work as child labourers and only half of the remaining are sent to school Of those who attend classed only 40 per cent are able to reach Std V In India 30 per cent of the children under 16 work as labourers Orissa and Bihar contain 13rd of the child labourers in India India has the largest population of child labourers which is 115th of its total population In Orissa and Bihar out of 100 children enrolled in school 32 are girls And out of 100 who attend Std X only 10 are girls Only 38 out of 100 Indian women are literate versus 57 per cent of males Even in wealthy states such as Punjab girls suffer from malnutrition seven times more than boys do The total population of the country was 90 crore in 1998 and the ratio of male to female in India was 10 to 9

71 According to the information provided what percentage of the infants in Orissa and Bihar attend Std V A 1133 B 1066 C 1333 D 1233

72 The number of child labourers in India in 1998 are A 15 crore B 16 crore C 12 crore D 6 crore

73 The Orissa and Bihar out of 100 born approximately how many children work as child labourers A 27 B 32 C 13 D 38

74 What percentage of girl children enrolled in school reach Std X in Orissa and Bihar

A 10 B 32 C 60 D Insufficient data SET 20 AMS Inc is the leader in selling ideas universe wide but its maximum revenue comes from three principal planets only viz Earth Mars Jupiter Further it has three products viz CSP CC and CP In a particular year the number of units sold had a distribution as follows The number of units of CCs sold on Mars was 12 per cent of the number of units of CPs sold on Earth The number of units of CPs sold on Jupiter was 1000 Total number of CC units sold was 2600 Total number of CP units was 200 higher than that of the total number of units of CCs sold The number of units of CSP sold on Mars was 10 per cent of the number of units of CP sold on Jupiter The number of units of CSP sold on Earth was 2000 The number of units of CC sold on Earth was 15 per cent of the number of units CSP sold on Jupiter The prices of the units on the different planets were as follows Earth rarr Rs 15 per unit Mars rarr Rs 10 per unit Jupiter rarrRs 8 per unit The number of units of CSP sold on Jupiter was 300 The number of units of CP sold on Earth was 600

75 The number of units of CC sold on Jupiter is A 1520 B 2483 C 3423 D 600

76 The revenue generated on Earth is greater than that generated on Jupiter by about A Rs 8000 B Rs 9000 C Rs 10000 D None of these

77 The overall revenue generated is the highest from A CSPs B CP C CCs D Canrsquot be determined SET 21 An organization consists of 3500 employees working in different departments viz HR Marketing IT Production and Accounts The ratio of male to female employees in the organisation is 3 2 8 of the males work in the HR department 22 of the female work in the account department The ratio of males to females working in the HR department is 3 5 Oneseventh of the females work in the IT department 46 of the males work in the

Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

78 The number of males working in the Account department forms approximately what percent of the total number of males in the organisation A 6 B 8 C 10 D 11

79 How many females work in Production department A 140 B 200 C 180 D None

80 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A 28 B 32 C 29 D 31

81 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A 15 8 B 1 2 C 8 15 D 2 1

SET 22 A B and C started a business by investing Rs 800 Rs 1600 and Rs 2000 respectively After a quarter they invested amounts in a ratio 1 4 2 After another quarter they invested amounts in ratio 3 2 3In the last quarter the ratio of investments was same as in 2nd quarter Also in the last quarter the respective amounts of A B and C was double than the respective amounts invested in 2nd quarter The total investment of C before 4th quarter was Rs 1400 more than that of A during same duration Also ratio of Brsquos share in profit to total profit at the end of year was 66 153

82 Find the total investment of A B and C A Rs 10200 B Rs 11300 C Rs 9800 D Rs 10080

83 If they respectively had invested same amounts in each quarter after quarter 1 which is equal to their respective investments in quarter 1 then what would be the profit of A at the end of year out of a total profit of Rs 19350 A Rs 2510 B Rs 3320 C Rs 2560 D Rs 3150

84 If the respective investments in third quarter was changed and this was in ratio 2 4 1 (other investments being the same) then what would be the total investment of all three in third quarter if the average investment of all A B and C was Rs 3100 for whole year A Rs 500 B Rs 800 C Rs 700 D Rs 900 SET 23 The total population of village satana is 3550 out of which 36 people are below poverty line The total population of Satana is 11 frac14 less than the total population of amin while there are 29 people in amin who lives below poverty line In Nilokheri the people living below poverty line are 40 more than that in amin which is 40 of the total population of this village The average population of Gharaunda and Samalkha is equal to the average population of amin and Nilokheri while the difference between their population is 1800 (Village Samalkha is more populated) 47 of the population of Gharaunda are below poverty line Overall 46 of the population of all villagesrsquo together lives below poverty line

85 What percent of population of Samalkha lives above poverty line (Approximate) A 26 B 27 C 28 D 29

86 Find the approximate average no of people below poverty line in the given villages A 1610 B 1620 C 1615 D 1320

87 If 35 of the BPL population of Nilokheri are children while 30 of the overall population of this village are children Then what percent of population above poverty line are children A 25 B 30 C 26 13 D 26 23

88 What is the difference between total population of Nilokheri and that of Gharaunda A 300 B 200 C 250 D 400

SET 24

Gaurav a sweet seller bought some quantity of three types of sweets Rasgulla Rasmalai and Kalakand in ratio of 6 10 9 Kalakand costed him a total of Rs 18900 at rate of 420 per kg By selling Kalakand at a discount of 5 he earned a profit of 13 221 On Rasmalai (which was marked Rs 500 per kg) he earned Rs 5 less profit per kg as compared to that on Kalakand by selling Rasmalai at 10 discount Gaurav spent a total of Rs 46400 on buying these sweets while he earned a total profit of Rs 5875 on selling all bought sweets Rasgullas were marked 40 above cost price per kg

89 What is the difference between the number of Accord cars sold by dealers D and E together

and the number of City cars sold by dealers B and F together A 3658 B 3712 C 4205 D 3252

90 If Gaurav gave an extra discount of 20 on Kalakand then his gain or loss was

A 9 11

21 profit B 8

11

21 loss C 10

11

23 loss D 9

11

21 loss

91 Find the total quantity of sweets bought by Gaurav A 135 kg B 126 kg C 125 kg D 120 kg

92 If 10kg of Rasmalai was wasted away due to some reason Find profit or loss by selling the remaining Rasmalai as per given condition A 10 loss B 10 gain C 12 loss D 15 loss SET 25 An organization consists of 3500 employees working in different departments viz HR Marketing IT Production and Accounts The ratio of male to female employees in the organisation is 3 2 8 of the males work in the HR department 22 of the female work in the account department The ratio of males to females working in the HR department is 3 5 One-seventh of the females work in the IT department 46 of the males work in the Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

93 The number of males working in the Account department forms approximately what per cent of the total number of males in the organisation A 6 B8 C10 D11

94 How many females work in Production department A 140 B200 C180 DNone of these

95 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A28 B30 C29 D31

96 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A158 B12 C815 D21 SET 26

In the recently held Commonwealth Games a total number of 500 players participated in five different games viz Athletics Hockey Lawn Tennis Rugby and Badminton 15 of the total players participated in Badminton 25 of the total players participated in Hockey 6 of the total players participated in Lawn Tennis and 25 of the total players participated in Athletics The remaining players participated in Rugby One-fourth of the Hockey players are females 20 of the Badminton players are males Half of the players who participated in Lawn Tennis are males There are 55 female athletes No female player participated in Rugby

97 The number of female players who participated in Badminton is approximately what per cent of the total number of players who participated in Rugby A82 B80 C86 D76

98 What is the difference between the number of male players who participated in Hockey and the number of female players who participated in Lawn Tennis A125 B145 C130 D135

99 If due to certain reason Athletics was dropped and all the athletes left the tournament then what was the percentage of male players among the total players remaining in the tournament A4566 B4033 C3533 DNone of these

100 What is the ratio of the total number of male players participating in Badminton to the total number of female players participating in Hockey A353 B310 C510 D325 SET 27 The premises of an institute are to be renovated Only the floor is to be renovated either with marble or with wood All rooms halls and pantry are rectangular The area to be renovated comprises a hall measuring 33m by 39m The directorrsquos room measures 13m by 12m and the pantry measures 14m by 12m A record keeping-cum-server room measures 23m by 13m and the accounts room measures 12m by 23m The total area of the institute is 2500 square metres The cost of wooden flooring is Rs 170 per square metre and the cost of marble flooring is Rs 190 per square metre The accounts room the record keeping-cum-server room and the pantry are to be floored with marble The directorrsquos room and the hall are to be floored with wood

101 What is the ratio of the total cost of wooden flooring to the total cost of marble flooring A 1443 735 B 8177 4655 C 1443 4655 D 24531 14117

102 If four walls and ceiling of the room (the height of the room is 15 metres) are to be painted at the cost of Rs 190 per square metre how much will be the total cost of renovation of the directorrsquos room including the cost of flooring A 198660 B 178680 C 198880 D 22876

103 If the remaining area of the institute is to be carpeted at the rate of Rs 210 per square metre by how much will the cost of renovation of institute premises increase A 75000 B72840 C65940 D 75940

104 What is the percentage area of the institute that is not to be renovated A1644 B1356 C1455 D1256

SET 28 A total of 1650 students are studying in an engineering college in different departments The ratio of male students to female students in the college is 8679 The college had a total of 5 departments which are mechanical civil electrical Biotechnology and computer science Total 198 males study in the mechanical department 18 students study in the civil department in which male to female ratio is 54 In the biotechnology department 77 male students are studying and the number of female students in this department is 57th of the number of males The total number of male students in the civil department is equal to the number of female students in the mechanical department The number of males in biotechnology department is half of the number of total male students in computer science department In the electrical department the male to female ratio is 1419

105 The number of male students in electrical department is how much more than female students in mechanical

106 Female students in electrical department is what of the total number of females in the college (approximately) SET 29 During the period 1990-91 to 1994-95 the unit sales of Motorcycles witnessed a simple average growth rate of 45 and the unit price experienced a simple average growth rate of 41 In the year 1990-91 amp 1992-93 the selling price of motorcycle was Rs 50000 The unit selling price rose by Rs 2500 each in the years 1991-92 and 1994-95 Between 1990-91 and 1992-93 unit sales increased by 155 In 1992-93 approx 2888 units and in 1993-94 3000 units were sold In 1991-92 the sales increased by Rs 1281 crore and number of units sold increased by 125

107 The rupee sales of the motorcycles in 1990-91 is A Rs 180crore B Rs 125crore C Rs 135crore D Rs 100crore

108 How many motorcycles were sold in 1991-92 A 2500 B 2625 C 3050 D 4000

109 How many motorcycles were sold during the period 1990-91 to 1994-95 A 15025 B 14005 C 14076 D 15000

110 What is the selling price of a motorcycle in 1993-94 A Rs 50000 B Rs 52500 C Rs 57750 D Rs 60000

SET 30 Mlon huskthe space Y inventor took his team of scientist to newly found planetrdquoEuro Chandrdquo The team agreed on the condition that they will not do any research during their visit but will only do rest But Husk as per his nature observed various phenomenon on new planet including the gravitational pull He observed that a kg on earth is equivalent to 12 kg on Euro chand except kg on new planet is called Euroc Slen weighs 552 Euroc weighs heavier than all except Plen who weighs 108 Euroc more Olen the lightest weighs 252 Euroc less than Dlen Jlen weighs 48 Euroc less than Slen and 48 Euroc more than Dlen

111 What is the weight of Plen (in Kg) A55 B46 C17 D48

112 What is the weight of Olen (in Euronc ) A505 B246 C218 D204

113 Approximately how many times is the weight of Plen that of Dlen A145 B107 C218 D214

114 Weight of Dlen is what moreless than weight of Jlen

A111 B108 C95 D121 SET 31 In a MNC there are 5000 employees In that there are 6 departments ie Accounts department maintenance-admin department HR department production department RampD department marketing department In maintenance- admin department there is 15 of total number of employees In that 40 are females Total number of persons working in RampD department is equal to total number of males working in maintenance department Male to female ratio of RampD is 45In production department 1500 persons are working there are males only In HR department the number of persons working is 15 of number of persons working in production department where 80 are females The number of people working in Accounts department is 60 of production department in that number of females are 550 The number of female in marketing department 500

115 Total number of males in RampD department is what percentage of total number of males in the marketing department A50 B 375 C 33 13 D1007

116 What is the percentage increasedecrease in total number of females in HR department to the total number of males in maintenance ndash admin department A5334 increase B5334 decrease C4666 increase D4666decrease

117 What is the difference between total number of males in marketing department to total number of females in the accounts department A75 B50 C60 D90

118 What is the ratio of total number of males in HR department to the total number of females in maintenance ndash admin department A15 B27 C35 D47 SET 32

According to A the census has been taken by the Government for literacy rate in two villages

A and B total population is 6 00000 In which the ratio between total numbers of males to

total number of females is 53 and the ratio of total population in village A to village B is 1713

The ratio of number of males in village A to number of males in village B is 78Total Ratio of

literate to illiterate (in men) 41 Out of total women only 35 are literates Total percentage

of adults is 80 ( m f = 53) in total population and in remaining 10 are children all other

peoples are senior citizens

119 What is the difference between literate people to total number of senior citizens

A378750 B78750 C270750 D221250

120 Total number of literate males in village A (if 45 of literate males are in Village A) is what percentage of total number of illiterate Females (Approximately) A97 B92 C89 D85

121 What is the ratio of males in village B to Adult females in the survey A54 B45 C910 D109

122 What is the increasedecrease in percentage of total number children to the

difference between the populations of village A to village B

A85 decrease B 85 increase C 95 increase D95 decrease

SET 33 Acity consists of 2400 employees working in different IT companies viz TCS Infosys Wipro Tech Mahindra and Oracle The ratio of male to female employees in the city is 5 3 respectively Twelve per cent of the males work in the TCS Company Twenty four per cent of the females work in the Oracle Company The ratio of males to females working in the TCS company is 6 11 respectively One-ninth of the females work in the Wipro Company Forty two percent of the males work in the Tech Mahindra Company Number of females working in the Tech Mahindra Company is ten percent of the males working in the same The remaining females work in the Infosys Company The total number of employees working in the Wipro Company is 285 Twenty two percent of the males work in the Infosys Company and the remaining work in the Oracle Company

123 The number of females working in the Tech Mahindra Company TCS Company and Infosys company together forms what percent of the total number of females in the City A6488 B5765 C 4896 D7527

124 The total number of females working in the TCS and Infosys Company together

forms what percent of the total number of employees in Tech Mahindra Company

A7018 B8047 C 7526 D7518

125 What is the difference between the number of males in Infosys Company and

number of females to the Oracle Company together to the number of males in Tech

Mahindra Company and number of females to the TCS Company together

A434 B427 C404 D414

126 The number of males working in the Wipro Company and the number of females

working in the Infosys Company together forms approximately what percent of the total

number of males in the City (Rounded off the nearest percentage)

A50 B25 C21 D18

SET 34

A School consisting of a total of 1560 students has boys and girls in the ratio of 7 5

respectively All the students are enrolled for different country tours viz Russia Switzerland

and Japan One-fifth of the boys are enrolled for only Switzerland tour Twenty percent of

the girls are enrolled for only Japan tour Ten percent of the boys are enrolled for only Russia

tour Twenty four percent of the girls are enrolled for both Russia and Switzerland tour

together The number of girls enrolled for only Russia tour is two hundred percent of the

boys enrolled in the same One-thirteenth of the boys are enrolled for all the three tour

together The respective ratio of boys enrolled for Switzerland and Japan tour together to

the girls enrolled for the same is 2 1 respectively Ten percent of the girls are enrolled for

only Switzerland tour whereas eight percent of the girls are enrolled for both Switzerland

and Japan tour together The remaining girls are enrolled for all the three tour together The

number of boys enrolled for Russia and Switzerland tour together is fifty percent of the

number of girls enrolled for the same The remaining boys are enrolled for only Japan tour

127 What is the respective ratio of the number of girls enrolled for only Japan tour and

number of boys enrolled for Switzerland tour together to the number of boys enrolled for

the Japan tour and number of girls enrolled for Switzerland tour together

A7752 B7552 C5275 D5277

128 Number of girls enrolled for only Switzerland Russia and Japantour together is what

percent of the boys together enrolled for the same (Rounded off to two digits after

decimal)

A3757 B5729 C6193 D5522

129 What is the total number of students enrolled for all the three tour and number of

girls enrolled for Switzerland and Russia tour together and number of boys enrolled for

Switzerland and Japan tour together

A395 B2415 C385 D390

130 What is the sum of the total number of boys who are enrolled for Switzerland and

the total number of girls who are enrolled for same tour together

A872 B752 C802 D772

SET 35

A radio station surveyed 200 students to determine the types of music they liked There are

three types of music rock music folk music and classical music The survey revealed that 57

percent liked rock music 25 percent liked folk music and 205 percent liked classical music 14

students liked rock music and folk music 15 students liked rock music and classical music 6

students liked only classical music and folk music 90 of them liked only rock music

131 How many of them liked folk music but not rock music

A36 B41 C30 D44

132 How many of them liked any two types of music only

A15 B16 C19 D25

133 How many students did not like any of the three types

A35 B40 C30 D25

134 What is the ratio of who liked rock and classical music together to the ratio of who

liked only folk music

A51 B3110 C316 D125

SET 36

In a shopping mall there are three different varieties of dress materials Cotton Silk and

Chiffon There are 300 customers visited the Shop 50 of customers purchased Cotton

material 40 of customers purchased Chiffon material and 60 of customers purchased Silk

material The customers who purchased any of two dress materials are 90 20 of

customers who purchased Cotton also purchased other two materials The customers who

purchased only Silk material are 20 more than that of who purchased only Chiffon material

30 Customers are purchased only Silk and Chiffon material

135 How many of them purchased only one variety of dress material

A150 B180 C120 D160

136 How many of them purchased at least two types of dress materials

A90 B100 C120 D140

137 What is the percentage of the customers who purchased only Silk material to that of

the customers who purchased all types of dress material

A30043 B30553 C35523 D23333

138 How many of them did not purchase any of the three types of materials

A10 B15 C5 D None

SET 37

In a sports event six teams (A B C D E and F) are competing against each other Matches

are scheduled in two stages Each team plays three matches in stage ndash I and two matches in

Stage ndash II No team plays against the same team more than once in the event No ties are

permitted in any of the matches The observations after the completion of Stage ndash I and

Stage ndash II are as given below

Stage-I

bull One team won all the three matches

bull Two teams lost all the matches

bull D lost to A but won against C and F

bull E lost to B but won against C and F

bull B lost at least one match

bull F did not play against the top team of Stage-I

Stage-II

bull The leader of Stage-I lost the next two matches

bull Of the two teams at the bottom after Stage-I one team won both matches while the

other lost both matches

bull One more team lost both matches in Stage-II

139 The two teams that defeated the leader of Stage-I are

A F amp D B E amp F C B amp D D E amp D

140 The only team(s) that won both matches in Stage-II is (are)

A B B E amp F C A E amp F D B E amp F

141 The teams that won exactly two matches in the event are

A A D amp F B D amp E C E amp F D D amp F

142 The team(s) with the most wins in the event is (are)

A A B A amp C C B amp E D E

SET 38

Two traders Chetan and Michael were involved in the buying and selling of MCS shares

over five trading days At the beginning of the first day the MCS share was priced at ₹100

while at the end of the fifth day it was priced at ₹110 At the end of each day the MCS share

price either went up by ₹10 or else it came down by ₹10 Both Chetan and Michael took

buying and selling decisions at the end of each trading day The beginning price of MCS share

on a given day was the same as the ending price of the previous day Chetan and Michael

started with the same number of shares and amount of cash and had enough of both

Below are some additional facts about how Chetan and Michael traded over the five trading

days

middot Each day if the price went up Chetan sold 10 shares of MCS at the closing price On the

other hand each day if the price went down he bought 10 shares at the closing price

middot If on any day the closing price was above ₹110 then Michael sold 10 shares of MCS

while if it was below ₹90 he bought 10 shares all at the closing price

143 If Chetan sold 10 shares of MCS on three consecutive days while Michael sold 10

shares only once during the five days what was the price of MCS at the end of day 3

A ₹ 90 B ₹100 C ₹110 D ₹120

144 If Chetan ended up with ₹1300 more cash than Michael at the end of day 5 what

was the price of MCS share at the end of day 4

A ₹90 B ₹100 C ₹110 D₹120

145 If Michael ended up with 20 more shares than Chetan at the end of day 5 what was

the price of the share at the end of day 3

A₹90 B ₹100 C ₹110 D ₹120

146 If Michael ended up with ₹100 less cash than Chetan at the end of day 5 what was

the difference in the number of shares possessed by Michael and Chetan (at the end of day

5)

A Michael had 10 less shares than Chetan

B Michael had 10 more shares than Chetan

C Chetan had 10 more shares than Michael

D Both had the same number of shares

SET 39

Bankatlal acted as a judge for the beauty contest There were four participants viz Ms

Andhra Pradesh Ms Uttar Pradesh Ms West Bengal and Ms Maharashtra Mrs Bankatlal

who was very anxious about the result asked him about it as soon as he was back home

Bankatlal just told that the one who was wearing the yellow saree won the contest When

Mrs Bankatlal pressed for further details he elaborated as follows

I All of them were sitting in a row

II All of them wore sarees of different colors viz Green Yellow White Red

III There was only one runner up and she was sitting beside Ms Maharashtra

IV The runner up was wearing the Green saree

V Ms West Bengal was not sitting at the ends and was not a runner up

VI The winner and the runner up are not sitting adjacent to each other

VII Ms Maharashtra was wearing white saree

VIII Ms Andhra Pradesh was not wearing the Green saree

IX Participants wearing Yellow saree and White saree were at the ends

147 Who wore the Red saree A Ms Andhra Pradesh B Ms West Bengal C Ms Uttar Pradesh D Ms Maharashtra

148 Ms West Bengal was sitting adjacent to A Ms Andhra Pradesh and Ms Maharashtra B Ms Uttar Pradesh and Ms Maharashta C Ms Andhra Pradesh and Ms Uttar Pradesh D Ms Uttar Pradesh only

149 Which saree was worn by Ms Andhra Pradesh A Yellow B Red C Green D White

150 Who was the runner up

A Ms Andhra Pradesh B Ms West Bengal

C Ms Uttar Pradesh D Ms Maharashta

SET 40

Ghosh Babu goes to a casino in Kay - Kay islands where he comes across an interesting game

of cards The visitor playing the game is called the player amp the clubman is called the dealer

The rules of the game are as follows First the player picks the card This card is called the

base card amp the number on the face of the card is called the base value of the card Ace

King Queen amp Jack all have base value of 10 The dealer pays the player same number of

rupees as the base value of the card Now the dealer picks a card amp This is called the top

card If topcard is of the same suite then the player pays the dealer double the amount of

base value If it is of the same colour but not the same suite then the player pays the dealer

the amount of a bse value If it is of different colour then the dealer pays the player the

amount of base value Ghosh Babu plays the game 4 times First time he draws 8 of club amp

the dealer draws jack of club Second time he draws 10 of hearts amp the dealer draws 2 of

spade Third time he draws 6 of diamond amp the dealer draws 1 of heart Finally Ghosh Babu

draws 8 of spade and the dealer draws ace of the spade

151 If Ghosh Babu should leave the game when his profit is maximum then what is that

profit

A 12 B 18 C 20 D None of these

152 If Ghosh Babu did not have to borrow any money from anyone then what is the

minimum amount that he could have started with

A 16 B 24 C 8 D None of these

153 If Ghosh Babu is left with 100 rupees now what is the amount that he had started

with

A 120 B 104 C 96 D None of these

SET 41

Twenty one participants from four continents (Africa Americas Australasia and Europe)

attended a United Nations conference Each participant was an expert in one of four fields

labour health population studies and refugee relocation The following five facts about the

participants are given

I The number of labour experts in the camp was exactly half the number of experts in each

of the three other categories

II Africa did not send any labour expert Otherwise every continent including Africa sent at

least one expert for each category

III None of the continents sent more than three experts in any category

IV If there had been one less Australasian expert then the America would have had twice

many experts as each of the other continents

V Mike and Alfanso are leading experts of population studies who attended the conference

They are from Australasia

154 Which of the following numbers cannot be determined from the information given

A Number of labour experts from the Americas

B Number of health experts from Europe

C Number of health experts from Australasia

D Number of experts in refugee relocation from Africa

155 Which of the following combinations is NOT possible

A 2 experts in population studies from the Americas and 2 health experts from Africa

attended the conference

B 2 experts in population studies from the Americas and 1 health expert from Africa

attended the conference

C 3 experts in refugee relocation from the Americas and 1 health expert from Africa

attended the conference

D Africa and America each had 1 expert in population studies attending the conference

156 If Ramos is the lone America expert in population studies which of the following is

NOT true about the numbers of experts in the conference from the four continents

A There is one expert in health from Africa

B There is one expert in refugee relocation from Africa

C There are two experts in health from the Americas

D There are three experts in refugee relocation from the Americas

157 Alex an American expert in refugee relocation was the first keynote speaker in the

conference What can be inferred about the number of American experts in refugee

relocation in the conference excluding Alex (i) At least one (ii) Atmost two

A Only (i) and not (ii) B Only (ii) and not (i)

C Both (i) and (ii) D Neither (i) nor (ii)

SET 42

Help Distress (HD) is an NGO involved in providing assistance to people suffering from

natural disasters Currently it has 37 volunteers They are involved in three projects

Tsunami Relief (TR) in Tamil Nadu Flood Relief (FR) in Maharashtra and Earthquake Relief

(ER) in Gujarat Each volunteer working with Help Distress has to be involved in at least one

relief work project

bull A Maximum number of volunteers are involved in the FR project Among them the

number of volunteers involved in FR project alone is equal to the volunteers having

additional involvement in the ER project

bull The number of volunteers involved in the ER project alone is double the number of

volunteers involved in all the three projects

bull 17 volunteers are involved in the TR project

bull The number of volunteers involved in the TR project alone is one less than the number of

volunteers involved in ER project alone

bull Ten volunteers involved in the TR project are also involved in at least one more project

158 Based on the information given above the minimum number of volunteers involved

in both FR and TR projects but not in the ER project is

A 1 B 3 C 4 D 5

159 Which of the following additional information would enable to find the exact

number of volunteers involved in various projects

A Twenty volunteers are involved in FR B Four volunteers are involved in all the three projects C Twenty three volunteers are involved in exactly one project D No need for any additional information

160 After some time the volunteers who were involved in all the three projects were

asked to withdraw from one project As a result one of the volunteers opted out of the TR

project and one opted out of the ER project while the remaining ones involved in all the

three projects opted out of the FR project Which of the following statements then

necessarily follows

A The lowest number of volunteers is now in TR project B More volunteers are now in FR project as compared to ER project C More volunteers are now in TR project as compared to ER project D None of the above

161 After the withdrawal of volunteers as indicated in Question 85 some new

volunteers joined the NGO Each one of them was allotted only one project in a manner such

that the number of volunteers working in one project alone for each of the three projects

became identical At that point it was also found that the number of volunteers involved in

FR and ER projects was the same as the number of volunteers involved in TR and ER projects

Which of the projects now has the highest number of volunteers

A ER B FR C TR D Cannot be determined

SET 43

Mathematicians are assigned a number called Erdoumls number (named after the famous

mathematician Paul Erdoumls) Only Paul Erdoumls himself has an Erdoumls number of zero Any

mathematician who has written a research paper with Erdoumls has an Erdoumls number of 1 For

other mathematicians the calculation of hisher Erdoumls number is illustrated below

Suppose that a mathematician X has co-authored papers with several other mathematicians

From among them mathematician Y has the smallest Erdoumls number Let the Erdoumls number

of Y be y Then X has an Erdoumls number of y + 1 Hence any mathematician with no co-

authorship chain connected to Erdoumls has an Erdoumls number of infinity In a seven day long

mini-conference organized in memory of Paul Erdoumls a close group of eight mathematicians

call them A B C D E F G and H discussed some research problems At the beginning of the

conference A was the only participant who had an infinite Erdoumls number Nobody had an

Erdoumls number less than that of F

bull On the third day of the conference F co-authored a paper jointly with A and C This

reduced the average Erdoumls number of the group of eight mathematicians to 3 The Erdoumls

numbers of B D E G and H remained unchanged with the writing of this paper Further no

other co-authorship among any three members would have reduced the average Erdoumls

number of the group of eight to as low as 3

bull At the end of the third day five members of this group had identical Erdoumls numbers while

the other three had Erdoumls numbers distinct from each other

bull On the fifth day E co-authored a paper with F which reduced the grouprsquos average Erdoumls

number by 05 The Erdoumls numbers of the remaining six were unchanged with the writing of

this paper

bull No other paper was written during the conference

162 The Erdoumls number of C at the end of the conference was

A 1 B 2 C 3 D 4

163 The Erdoumls number of E at the beginning of the conference was

A 5 B 6 C 7 D 8

164 How many participants had the same Erdoumls number at the beginning of the

conference

A 2 B 3 C 4 D 5

SET 44

K L M N P Q R S U and W are the only ten members in a department There is a proposal

to form a team from within the members of the department subject to the following

conditions

bull A team must include exactly one among P R and S

bull A team must include either M or Q but not both

bull If a team includes K then it must also include L and vice versa

bull If a team includes one among S U and W then it must also include the other two

bull L and N cannot be members of the same team

bull L and U cannot be members of the same team

The size of a team is defined as the number of members in the team

165 Who can be a member of a team of size 5

A K B L C M D P

166 Who cannot be a member of a team of size 3

A L B M C N D P

167 What could be the size of a team that includes K

A 2 or 3 B 2 or 4 C 3 or 4 D Only 4

168 In how many ways a team can be constituted so that the team includes N

A 2 B 3 C 4 D 6

SET 45

(i) There are three houses on each side of the road

(ii) These six houses are labeled as P Q R S T and U

(iii) The houses are of different colours namely Red Blue Green Orange Yellow and

White

(iv) The houses are of different heights

(v) T the tallest house is exactly opposite to the Red coloured house

(vi) The shortest house is exactly opposite to the Green coloured house

(vii) U the Orange coloured house is located between P and S

(viii) R the Yellow coloured house is exactly opposite to P

(ix) Q the Green coloured house is exactly opposite to U

(x) P the White coloured house is taller than R but shorter than S and Q

169 Which is the second tallest house

A P B S C Q D cannot be determined

170 What is the colour of the house diagonally opposite to the Yellow coloured house

A White B Blue C Green D Red

171 What is the colour of the tallest house

A Red B Blue C Green D Yellow

SET 46

A leading socialite decided to organise a dinner and invited a few of her friends Only the

host and the hostess were sitting at the opposite ends of a rectangular table with three

persons along each side The pre-requisite for the seating arrangement was that each person

must be seated such that atleast on one side it has a person of opposite sex Maqbool is

opposite Shobha who is not the hostess Ratan has a woman on his right and is sitting

opposite a woman Monisha is sitting to the hostessrsquos right next to Dhirubhai One person is

seated between Madhuri and Urmila who is not the hostess The men were Maqbool Ratan

Dhirubhai and Jackie while the women were Madhuri Urmila Shobha and Monisha

172 The eighth person present Jackie must be I the host II seated to Shobarsquos right III

seated opposite Urmila

A I only B III only C I and II only D II and III only

173 Which of the following persons is definitely not seated next to a person of the same

sex

A Maqbool B Madhuri C Jackie D Shobha

174 If Ratan would have exchanged seats with a person four places to his left which of

the following would have been true after the exchange

I No one was seated between two persons of the opposite sex (eg no man was seated

between two women)

II One side of the table consisted entirely of persons of the same sex

III Either the host or the hostess changed seats

A I only B II only C I and II only D II and III only

175 If each person is placed directly opposite his or her spouse which of the following

pairs must be married

A Ratan and Monisha B Madhuri and Dhirubhai

C Urmila and Jackie D Ratan and Madhuri

SET 47

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

B 3 C 4 D 45

69 What will be the growth in percentage of users in India by 2008 A 100 B 150 C 180 D 200

70 What will be the percentage growth of the revenues of the hotel industry in the given period A 200 B 230 C 260 D 300 SET 19 Bihar and Orissa are the most deprived states of India While they contain one-fifth of Indiarsquos population they have almost one-third of Indiarsquos illiterates In 1998 only a small fraction of Orissa and Biharrsquos population was literate versus 85 per cent of Keralarsquos population More than two-thirds of the births are not attended by any medical facility 110th of the infants born in Orissa and Bihar die in infancy and an equal number before reaching the age of five Almost 90 per cent of the under five deaths are due to malnutrition From amongst the lucky kids who have survived for the first five years 13rd of them work as child labourers and only half of the remaining are sent to school Of those who attend classed only 40 per cent are able to reach Std V In India 30 per cent of the children under 16 work as labourers Orissa and Bihar contain 13rd of the child labourers in India India has the largest population of child labourers which is 115th of its total population In Orissa and Bihar out of 100 children enrolled in school 32 are girls And out of 100 who attend Std X only 10 are girls Only 38 out of 100 Indian women are literate versus 57 per cent of males Even in wealthy states such as Punjab girls suffer from malnutrition seven times more than boys do The total population of the country was 90 crore in 1998 and the ratio of male to female in India was 10 to 9

71 According to the information provided what percentage of the infants in Orissa and Bihar attend Std V A 1133 B 1066 C 1333 D 1233

72 The number of child labourers in India in 1998 are A 15 crore B 16 crore C 12 crore D 6 crore

73 The Orissa and Bihar out of 100 born approximately how many children work as child labourers A 27 B 32 C 13 D 38

74 What percentage of girl children enrolled in school reach Std X in Orissa and Bihar

A 10 B 32 C 60 D Insufficient data SET 20 AMS Inc is the leader in selling ideas universe wide but its maximum revenue comes from three principal planets only viz Earth Mars Jupiter Further it has three products viz CSP CC and CP In a particular year the number of units sold had a distribution as follows The number of units of CCs sold on Mars was 12 per cent of the number of units of CPs sold on Earth The number of units of CPs sold on Jupiter was 1000 Total number of CC units sold was 2600 Total number of CP units was 200 higher than that of the total number of units of CCs sold The number of units of CSP sold on Mars was 10 per cent of the number of units of CP sold on Jupiter The number of units of CSP sold on Earth was 2000 The number of units of CC sold on Earth was 15 per cent of the number of units CSP sold on Jupiter The prices of the units on the different planets were as follows Earth rarr Rs 15 per unit Mars rarr Rs 10 per unit Jupiter rarrRs 8 per unit The number of units of CSP sold on Jupiter was 300 The number of units of CP sold on Earth was 600

75 The number of units of CC sold on Jupiter is A 1520 B 2483 C 3423 D 600

76 The revenue generated on Earth is greater than that generated on Jupiter by about A Rs 8000 B Rs 9000 C Rs 10000 D None of these

77 The overall revenue generated is the highest from A CSPs B CP C CCs D Canrsquot be determined SET 21 An organization consists of 3500 employees working in different departments viz HR Marketing IT Production and Accounts The ratio of male to female employees in the organisation is 3 2 8 of the males work in the HR department 22 of the female work in the account department The ratio of males to females working in the HR department is 3 5 Oneseventh of the females work in the IT department 46 of the males work in the

Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

78 The number of males working in the Account department forms approximately what percent of the total number of males in the organisation A 6 B 8 C 10 D 11

79 How many females work in Production department A 140 B 200 C 180 D None

80 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A 28 B 32 C 29 D 31

81 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A 15 8 B 1 2 C 8 15 D 2 1

SET 22 A B and C started a business by investing Rs 800 Rs 1600 and Rs 2000 respectively After a quarter they invested amounts in a ratio 1 4 2 After another quarter they invested amounts in ratio 3 2 3In the last quarter the ratio of investments was same as in 2nd quarter Also in the last quarter the respective amounts of A B and C was double than the respective amounts invested in 2nd quarter The total investment of C before 4th quarter was Rs 1400 more than that of A during same duration Also ratio of Brsquos share in profit to total profit at the end of year was 66 153

82 Find the total investment of A B and C A Rs 10200 B Rs 11300 C Rs 9800 D Rs 10080

83 If they respectively had invested same amounts in each quarter after quarter 1 which is equal to their respective investments in quarter 1 then what would be the profit of A at the end of year out of a total profit of Rs 19350 A Rs 2510 B Rs 3320 C Rs 2560 D Rs 3150

84 If the respective investments in third quarter was changed and this was in ratio 2 4 1 (other investments being the same) then what would be the total investment of all three in third quarter if the average investment of all A B and C was Rs 3100 for whole year A Rs 500 B Rs 800 C Rs 700 D Rs 900 SET 23 The total population of village satana is 3550 out of which 36 people are below poverty line The total population of Satana is 11 frac14 less than the total population of amin while there are 29 people in amin who lives below poverty line In Nilokheri the people living below poverty line are 40 more than that in amin which is 40 of the total population of this village The average population of Gharaunda and Samalkha is equal to the average population of amin and Nilokheri while the difference between their population is 1800 (Village Samalkha is more populated) 47 of the population of Gharaunda are below poverty line Overall 46 of the population of all villagesrsquo together lives below poverty line

85 What percent of population of Samalkha lives above poverty line (Approximate) A 26 B 27 C 28 D 29

86 Find the approximate average no of people below poverty line in the given villages A 1610 B 1620 C 1615 D 1320

87 If 35 of the BPL population of Nilokheri are children while 30 of the overall population of this village are children Then what percent of population above poverty line are children A 25 B 30 C 26 13 D 26 23

88 What is the difference between total population of Nilokheri and that of Gharaunda A 300 B 200 C 250 D 400

SET 24

Gaurav a sweet seller bought some quantity of three types of sweets Rasgulla Rasmalai and Kalakand in ratio of 6 10 9 Kalakand costed him a total of Rs 18900 at rate of 420 per kg By selling Kalakand at a discount of 5 he earned a profit of 13 221 On Rasmalai (which was marked Rs 500 per kg) he earned Rs 5 less profit per kg as compared to that on Kalakand by selling Rasmalai at 10 discount Gaurav spent a total of Rs 46400 on buying these sweets while he earned a total profit of Rs 5875 on selling all bought sweets Rasgullas were marked 40 above cost price per kg

89 What is the difference between the number of Accord cars sold by dealers D and E together

and the number of City cars sold by dealers B and F together A 3658 B 3712 C 4205 D 3252

90 If Gaurav gave an extra discount of 20 on Kalakand then his gain or loss was

A 9 11

21 profit B 8

11

21 loss C 10

11

23 loss D 9

11

21 loss

91 Find the total quantity of sweets bought by Gaurav A 135 kg B 126 kg C 125 kg D 120 kg

92 If 10kg of Rasmalai was wasted away due to some reason Find profit or loss by selling the remaining Rasmalai as per given condition A 10 loss B 10 gain C 12 loss D 15 loss SET 25 An organization consists of 3500 employees working in different departments viz HR Marketing IT Production and Accounts The ratio of male to female employees in the organisation is 3 2 8 of the males work in the HR department 22 of the female work in the account department The ratio of males to females working in the HR department is 3 5 One-seventh of the females work in the IT department 46 of the males work in the Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

93 The number of males working in the Account department forms approximately what per cent of the total number of males in the organisation A 6 B8 C10 D11

94 How many females work in Production department A 140 B200 C180 DNone of these

95 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A28 B30 C29 D31

96 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A158 B12 C815 D21 SET 26

In the recently held Commonwealth Games a total number of 500 players participated in five different games viz Athletics Hockey Lawn Tennis Rugby and Badminton 15 of the total players participated in Badminton 25 of the total players participated in Hockey 6 of the total players participated in Lawn Tennis and 25 of the total players participated in Athletics The remaining players participated in Rugby One-fourth of the Hockey players are females 20 of the Badminton players are males Half of the players who participated in Lawn Tennis are males There are 55 female athletes No female player participated in Rugby

97 The number of female players who participated in Badminton is approximately what per cent of the total number of players who participated in Rugby A82 B80 C86 D76

98 What is the difference between the number of male players who participated in Hockey and the number of female players who participated in Lawn Tennis A125 B145 C130 D135

99 If due to certain reason Athletics was dropped and all the athletes left the tournament then what was the percentage of male players among the total players remaining in the tournament A4566 B4033 C3533 DNone of these

100 What is the ratio of the total number of male players participating in Badminton to the total number of female players participating in Hockey A353 B310 C510 D325 SET 27 The premises of an institute are to be renovated Only the floor is to be renovated either with marble or with wood All rooms halls and pantry are rectangular The area to be renovated comprises a hall measuring 33m by 39m The directorrsquos room measures 13m by 12m and the pantry measures 14m by 12m A record keeping-cum-server room measures 23m by 13m and the accounts room measures 12m by 23m The total area of the institute is 2500 square metres The cost of wooden flooring is Rs 170 per square metre and the cost of marble flooring is Rs 190 per square metre The accounts room the record keeping-cum-server room and the pantry are to be floored with marble The directorrsquos room and the hall are to be floored with wood

101 What is the ratio of the total cost of wooden flooring to the total cost of marble flooring A 1443 735 B 8177 4655 C 1443 4655 D 24531 14117

102 If four walls and ceiling of the room (the height of the room is 15 metres) are to be painted at the cost of Rs 190 per square metre how much will be the total cost of renovation of the directorrsquos room including the cost of flooring A 198660 B 178680 C 198880 D 22876

103 If the remaining area of the institute is to be carpeted at the rate of Rs 210 per square metre by how much will the cost of renovation of institute premises increase A 75000 B72840 C65940 D 75940

104 What is the percentage area of the institute that is not to be renovated A1644 B1356 C1455 D1256

SET 28 A total of 1650 students are studying in an engineering college in different departments The ratio of male students to female students in the college is 8679 The college had a total of 5 departments which are mechanical civil electrical Biotechnology and computer science Total 198 males study in the mechanical department 18 students study in the civil department in which male to female ratio is 54 In the biotechnology department 77 male students are studying and the number of female students in this department is 57th of the number of males The total number of male students in the civil department is equal to the number of female students in the mechanical department The number of males in biotechnology department is half of the number of total male students in computer science department In the electrical department the male to female ratio is 1419

105 The number of male students in electrical department is how much more than female students in mechanical

106 Female students in electrical department is what of the total number of females in the college (approximately) SET 29 During the period 1990-91 to 1994-95 the unit sales of Motorcycles witnessed a simple average growth rate of 45 and the unit price experienced a simple average growth rate of 41 In the year 1990-91 amp 1992-93 the selling price of motorcycle was Rs 50000 The unit selling price rose by Rs 2500 each in the years 1991-92 and 1994-95 Between 1990-91 and 1992-93 unit sales increased by 155 In 1992-93 approx 2888 units and in 1993-94 3000 units were sold In 1991-92 the sales increased by Rs 1281 crore and number of units sold increased by 125

107 The rupee sales of the motorcycles in 1990-91 is A Rs 180crore B Rs 125crore C Rs 135crore D Rs 100crore

108 How many motorcycles were sold in 1991-92 A 2500 B 2625 C 3050 D 4000

109 How many motorcycles were sold during the period 1990-91 to 1994-95 A 15025 B 14005 C 14076 D 15000

110 What is the selling price of a motorcycle in 1993-94 A Rs 50000 B Rs 52500 C Rs 57750 D Rs 60000

SET 30 Mlon huskthe space Y inventor took his team of scientist to newly found planetrdquoEuro Chandrdquo The team agreed on the condition that they will not do any research during their visit but will only do rest But Husk as per his nature observed various phenomenon on new planet including the gravitational pull He observed that a kg on earth is equivalent to 12 kg on Euro chand except kg on new planet is called Euroc Slen weighs 552 Euroc weighs heavier than all except Plen who weighs 108 Euroc more Olen the lightest weighs 252 Euroc less than Dlen Jlen weighs 48 Euroc less than Slen and 48 Euroc more than Dlen

111 What is the weight of Plen (in Kg) A55 B46 C17 D48

112 What is the weight of Olen (in Euronc ) A505 B246 C218 D204

113 Approximately how many times is the weight of Plen that of Dlen A145 B107 C218 D214

114 Weight of Dlen is what moreless than weight of Jlen

A111 B108 C95 D121 SET 31 In a MNC there are 5000 employees In that there are 6 departments ie Accounts department maintenance-admin department HR department production department RampD department marketing department In maintenance- admin department there is 15 of total number of employees In that 40 are females Total number of persons working in RampD department is equal to total number of males working in maintenance department Male to female ratio of RampD is 45In production department 1500 persons are working there are males only In HR department the number of persons working is 15 of number of persons working in production department where 80 are females The number of people working in Accounts department is 60 of production department in that number of females are 550 The number of female in marketing department 500

115 Total number of males in RampD department is what percentage of total number of males in the marketing department A50 B 375 C 33 13 D1007

116 What is the percentage increasedecrease in total number of females in HR department to the total number of males in maintenance ndash admin department A5334 increase B5334 decrease C4666 increase D4666decrease

117 What is the difference between total number of males in marketing department to total number of females in the accounts department A75 B50 C60 D90

118 What is the ratio of total number of males in HR department to the total number of females in maintenance ndash admin department A15 B27 C35 D47 SET 32

According to A the census has been taken by the Government for literacy rate in two villages

A and B total population is 6 00000 In which the ratio between total numbers of males to

total number of females is 53 and the ratio of total population in village A to village B is 1713

The ratio of number of males in village A to number of males in village B is 78Total Ratio of

literate to illiterate (in men) 41 Out of total women only 35 are literates Total percentage

of adults is 80 ( m f = 53) in total population and in remaining 10 are children all other

peoples are senior citizens

119 What is the difference between literate people to total number of senior citizens

A378750 B78750 C270750 D221250

120 Total number of literate males in village A (if 45 of literate males are in Village A) is what percentage of total number of illiterate Females (Approximately) A97 B92 C89 D85

121 What is the ratio of males in village B to Adult females in the survey A54 B45 C910 D109

122 What is the increasedecrease in percentage of total number children to the

difference between the populations of village A to village B

A85 decrease B 85 increase C 95 increase D95 decrease

SET 33 Acity consists of 2400 employees working in different IT companies viz TCS Infosys Wipro Tech Mahindra and Oracle The ratio of male to female employees in the city is 5 3 respectively Twelve per cent of the males work in the TCS Company Twenty four per cent of the females work in the Oracle Company The ratio of males to females working in the TCS company is 6 11 respectively One-ninth of the females work in the Wipro Company Forty two percent of the males work in the Tech Mahindra Company Number of females working in the Tech Mahindra Company is ten percent of the males working in the same The remaining females work in the Infosys Company The total number of employees working in the Wipro Company is 285 Twenty two percent of the males work in the Infosys Company and the remaining work in the Oracle Company

123 The number of females working in the Tech Mahindra Company TCS Company and Infosys company together forms what percent of the total number of females in the City A6488 B5765 C 4896 D7527

124 The total number of females working in the TCS and Infosys Company together

forms what percent of the total number of employees in Tech Mahindra Company

A7018 B8047 C 7526 D7518

125 What is the difference between the number of males in Infosys Company and

number of females to the Oracle Company together to the number of males in Tech

Mahindra Company and number of females to the TCS Company together

A434 B427 C404 D414

126 The number of males working in the Wipro Company and the number of females

working in the Infosys Company together forms approximately what percent of the total

number of males in the City (Rounded off the nearest percentage)

A50 B25 C21 D18

SET 34

A School consisting of a total of 1560 students has boys and girls in the ratio of 7 5

respectively All the students are enrolled for different country tours viz Russia Switzerland

and Japan One-fifth of the boys are enrolled for only Switzerland tour Twenty percent of

the girls are enrolled for only Japan tour Ten percent of the boys are enrolled for only Russia

tour Twenty four percent of the girls are enrolled for both Russia and Switzerland tour

together The number of girls enrolled for only Russia tour is two hundred percent of the

boys enrolled in the same One-thirteenth of the boys are enrolled for all the three tour

together The respective ratio of boys enrolled for Switzerland and Japan tour together to

the girls enrolled for the same is 2 1 respectively Ten percent of the girls are enrolled for

only Switzerland tour whereas eight percent of the girls are enrolled for both Switzerland

and Japan tour together The remaining girls are enrolled for all the three tour together The

number of boys enrolled for Russia and Switzerland tour together is fifty percent of the

number of girls enrolled for the same The remaining boys are enrolled for only Japan tour

127 What is the respective ratio of the number of girls enrolled for only Japan tour and

number of boys enrolled for Switzerland tour together to the number of boys enrolled for

the Japan tour and number of girls enrolled for Switzerland tour together

A7752 B7552 C5275 D5277

128 Number of girls enrolled for only Switzerland Russia and Japantour together is what

percent of the boys together enrolled for the same (Rounded off to two digits after

decimal)

A3757 B5729 C6193 D5522

129 What is the total number of students enrolled for all the three tour and number of

girls enrolled for Switzerland and Russia tour together and number of boys enrolled for

Switzerland and Japan tour together

A395 B2415 C385 D390

130 What is the sum of the total number of boys who are enrolled for Switzerland and

the total number of girls who are enrolled for same tour together

A872 B752 C802 D772

SET 35

A radio station surveyed 200 students to determine the types of music they liked There are

three types of music rock music folk music and classical music The survey revealed that 57

percent liked rock music 25 percent liked folk music and 205 percent liked classical music 14

students liked rock music and folk music 15 students liked rock music and classical music 6

students liked only classical music and folk music 90 of them liked only rock music

131 How many of them liked folk music but not rock music

A36 B41 C30 D44

132 How many of them liked any two types of music only

A15 B16 C19 D25

133 How many students did not like any of the three types

A35 B40 C30 D25

134 What is the ratio of who liked rock and classical music together to the ratio of who

liked only folk music

A51 B3110 C316 D125

SET 36

In a shopping mall there are three different varieties of dress materials Cotton Silk and

Chiffon There are 300 customers visited the Shop 50 of customers purchased Cotton

material 40 of customers purchased Chiffon material and 60 of customers purchased Silk

material The customers who purchased any of two dress materials are 90 20 of

customers who purchased Cotton also purchased other two materials The customers who

purchased only Silk material are 20 more than that of who purchased only Chiffon material

30 Customers are purchased only Silk and Chiffon material

135 How many of them purchased only one variety of dress material

A150 B180 C120 D160

136 How many of them purchased at least two types of dress materials

A90 B100 C120 D140

137 What is the percentage of the customers who purchased only Silk material to that of

the customers who purchased all types of dress material

A30043 B30553 C35523 D23333

138 How many of them did not purchase any of the three types of materials

A10 B15 C5 D None

SET 37

In a sports event six teams (A B C D E and F) are competing against each other Matches

are scheduled in two stages Each team plays three matches in stage ndash I and two matches in

Stage ndash II No team plays against the same team more than once in the event No ties are

permitted in any of the matches The observations after the completion of Stage ndash I and

Stage ndash II are as given below

Stage-I

bull One team won all the three matches

bull Two teams lost all the matches

bull D lost to A but won against C and F

bull E lost to B but won against C and F

bull B lost at least one match

bull F did not play against the top team of Stage-I

Stage-II

bull The leader of Stage-I lost the next two matches

bull Of the two teams at the bottom after Stage-I one team won both matches while the

other lost both matches

bull One more team lost both matches in Stage-II

139 The two teams that defeated the leader of Stage-I are

A F amp D B E amp F C B amp D D E amp D

140 The only team(s) that won both matches in Stage-II is (are)

A B B E amp F C A E amp F D B E amp F

141 The teams that won exactly two matches in the event are

A A D amp F B D amp E C E amp F D D amp F

142 The team(s) with the most wins in the event is (are)

A A B A amp C C B amp E D E

SET 38

Two traders Chetan and Michael were involved in the buying and selling of MCS shares

over five trading days At the beginning of the first day the MCS share was priced at ₹100

while at the end of the fifth day it was priced at ₹110 At the end of each day the MCS share

price either went up by ₹10 or else it came down by ₹10 Both Chetan and Michael took

buying and selling decisions at the end of each trading day The beginning price of MCS share

on a given day was the same as the ending price of the previous day Chetan and Michael

started with the same number of shares and amount of cash and had enough of both

Below are some additional facts about how Chetan and Michael traded over the five trading

days

middot Each day if the price went up Chetan sold 10 shares of MCS at the closing price On the

other hand each day if the price went down he bought 10 shares at the closing price

middot If on any day the closing price was above ₹110 then Michael sold 10 shares of MCS

while if it was below ₹90 he bought 10 shares all at the closing price

143 If Chetan sold 10 shares of MCS on three consecutive days while Michael sold 10

shares only once during the five days what was the price of MCS at the end of day 3

A ₹ 90 B ₹100 C ₹110 D ₹120

144 If Chetan ended up with ₹1300 more cash than Michael at the end of day 5 what

was the price of MCS share at the end of day 4

A ₹90 B ₹100 C ₹110 D₹120

145 If Michael ended up with 20 more shares than Chetan at the end of day 5 what was

the price of the share at the end of day 3

A₹90 B ₹100 C ₹110 D ₹120

146 If Michael ended up with ₹100 less cash than Chetan at the end of day 5 what was

the difference in the number of shares possessed by Michael and Chetan (at the end of day

5)

A Michael had 10 less shares than Chetan

B Michael had 10 more shares than Chetan

C Chetan had 10 more shares than Michael

D Both had the same number of shares

SET 39

Bankatlal acted as a judge for the beauty contest There were four participants viz Ms

Andhra Pradesh Ms Uttar Pradesh Ms West Bengal and Ms Maharashtra Mrs Bankatlal

who was very anxious about the result asked him about it as soon as he was back home

Bankatlal just told that the one who was wearing the yellow saree won the contest When

Mrs Bankatlal pressed for further details he elaborated as follows

I All of them were sitting in a row

II All of them wore sarees of different colors viz Green Yellow White Red

III There was only one runner up and she was sitting beside Ms Maharashtra

IV The runner up was wearing the Green saree

V Ms West Bengal was not sitting at the ends and was not a runner up

VI The winner and the runner up are not sitting adjacent to each other

VII Ms Maharashtra was wearing white saree

VIII Ms Andhra Pradesh was not wearing the Green saree

IX Participants wearing Yellow saree and White saree were at the ends

147 Who wore the Red saree A Ms Andhra Pradesh B Ms West Bengal C Ms Uttar Pradesh D Ms Maharashtra

148 Ms West Bengal was sitting adjacent to A Ms Andhra Pradesh and Ms Maharashtra B Ms Uttar Pradesh and Ms Maharashta C Ms Andhra Pradesh and Ms Uttar Pradesh D Ms Uttar Pradesh only

149 Which saree was worn by Ms Andhra Pradesh A Yellow B Red C Green D White

150 Who was the runner up

A Ms Andhra Pradesh B Ms West Bengal

C Ms Uttar Pradesh D Ms Maharashta

SET 40

Ghosh Babu goes to a casino in Kay - Kay islands where he comes across an interesting game

of cards The visitor playing the game is called the player amp the clubman is called the dealer

The rules of the game are as follows First the player picks the card This card is called the

base card amp the number on the face of the card is called the base value of the card Ace

King Queen amp Jack all have base value of 10 The dealer pays the player same number of

rupees as the base value of the card Now the dealer picks a card amp This is called the top

card If topcard is of the same suite then the player pays the dealer double the amount of

base value If it is of the same colour but not the same suite then the player pays the dealer

the amount of a bse value If it is of different colour then the dealer pays the player the

amount of base value Ghosh Babu plays the game 4 times First time he draws 8 of club amp

the dealer draws jack of club Second time he draws 10 of hearts amp the dealer draws 2 of

spade Third time he draws 6 of diamond amp the dealer draws 1 of heart Finally Ghosh Babu

draws 8 of spade and the dealer draws ace of the spade

151 If Ghosh Babu should leave the game when his profit is maximum then what is that

profit

A 12 B 18 C 20 D None of these

152 If Ghosh Babu did not have to borrow any money from anyone then what is the

minimum amount that he could have started with

A 16 B 24 C 8 D None of these

153 If Ghosh Babu is left with 100 rupees now what is the amount that he had started

with

A 120 B 104 C 96 D None of these

SET 41

Twenty one participants from four continents (Africa Americas Australasia and Europe)

attended a United Nations conference Each participant was an expert in one of four fields

labour health population studies and refugee relocation The following five facts about the

participants are given

I The number of labour experts in the camp was exactly half the number of experts in each

of the three other categories

II Africa did not send any labour expert Otherwise every continent including Africa sent at

least one expert for each category

III None of the continents sent more than three experts in any category

IV If there had been one less Australasian expert then the America would have had twice

many experts as each of the other continents

V Mike and Alfanso are leading experts of population studies who attended the conference

They are from Australasia

154 Which of the following numbers cannot be determined from the information given

A Number of labour experts from the Americas

B Number of health experts from Europe

C Number of health experts from Australasia

D Number of experts in refugee relocation from Africa

155 Which of the following combinations is NOT possible

A 2 experts in population studies from the Americas and 2 health experts from Africa

attended the conference

B 2 experts in population studies from the Americas and 1 health expert from Africa

attended the conference

C 3 experts in refugee relocation from the Americas and 1 health expert from Africa

attended the conference

D Africa and America each had 1 expert in population studies attending the conference

156 If Ramos is the lone America expert in population studies which of the following is

NOT true about the numbers of experts in the conference from the four continents

A There is one expert in health from Africa

B There is one expert in refugee relocation from Africa

C There are two experts in health from the Americas

D There are three experts in refugee relocation from the Americas

157 Alex an American expert in refugee relocation was the first keynote speaker in the

conference What can be inferred about the number of American experts in refugee

relocation in the conference excluding Alex (i) At least one (ii) Atmost two

A Only (i) and not (ii) B Only (ii) and not (i)

C Both (i) and (ii) D Neither (i) nor (ii)

SET 42

Help Distress (HD) is an NGO involved in providing assistance to people suffering from

natural disasters Currently it has 37 volunteers They are involved in three projects

Tsunami Relief (TR) in Tamil Nadu Flood Relief (FR) in Maharashtra and Earthquake Relief

(ER) in Gujarat Each volunteer working with Help Distress has to be involved in at least one

relief work project

bull A Maximum number of volunteers are involved in the FR project Among them the

number of volunteers involved in FR project alone is equal to the volunteers having

additional involvement in the ER project

bull The number of volunteers involved in the ER project alone is double the number of

volunteers involved in all the three projects

bull 17 volunteers are involved in the TR project

bull The number of volunteers involved in the TR project alone is one less than the number of

volunteers involved in ER project alone

bull Ten volunteers involved in the TR project are also involved in at least one more project

158 Based on the information given above the minimum number of volunteers involved

in both FR and TR projects but not in the ER project is

A 1 B 3 C 4 D 5

159 Which of the following additional information would enable to find the exact

number of volunteers involved in various projects

A Twenty volunteers are involved in FR B Four volunteers are involved in all the three projects C Twenty three volunteers are involved in exactly one project D No need for any additional information

160 After some time the volunteers who were involved in all the three projects were

asked to withdraw from one project As a result one of the volunteers opted out of the TR

project and one opted out of the ER project while the remaining ones involved in all the

three projects opted out of the FR project Which of the following statements then

necessarily follows

A The lowest number of volunteers is now in TR project B More volunteers are now in FR project as compared to ER project C More volunteers are now in TR project as compared to ER project D None of the above

161 After the withdrawal of volunteers as indicated in Question 85 some new

volunteers joined the NGO Each one of them was allotted only one project in a manner such

that the number of volunteers working in one project alone for each of the three projects

became identical At that point it was also found that the number of volunteers involved in

FR and ER projects was the same as the number of volunteers involved in TR and ER projects

Which of the projects now has the highest number of volunteers

A ER B FR C TR D Cannot be determined

SET 43

Mathematicians are assigned a number called Erdoumls number (named after the famous

mathematician Paul Erdoumls) Only Paul Erdoumls himself has an Erdoumls number of zero Any

mathematician who has written a research paper with Erdoumls has an Erdoumls number of 1 For

other mathematicians the calculation of hisher Erdoumls number is illustrated below

Suppose that a mathematician X has co-authored papers with several other mathematicians

From among them mathematician Y has the smallest Erdoumls number Let the Erdoumls number

of Y be y Then X has an Erdoumls number of y + 1 Hence any mathematician with no co-

authorship chain connected to Erdoumls has an Erdoumls number of infinity In a seven day long

mini-conference organized in memory of Paul Erdoumls a close group of eight mathematicians

call them A B C D E F G and H discussed some research problems At the beginning of the

conference A was the only participant who had an infinite Erdoumls number Nobody had an

Erdoumls number less than that of F

bull On the third day of the conference F co-authored a paper jointly with A and C This

reduced the average Erdoumls number of the group of eight mathematicians to 3 The Erdoumls

numbers of B D E G and H remained unchanged with the writing of this paper Further no

other co-authorship among any three members would have reduced the average Erdoumls

number of the group of eight to as low as 3

bull At the end of the third day five members of this group had identical Erdoumls numbers while

the other three had Erdoumls numbers distinct from each other

bull On the fifth day E co-authored a paper with F which reduced the grouprsquos average Erdoumls

number by 05 The Erdoumls numbers of the remaining six were unchanged with the writing of

this paper

bull No other paper was written during the conference

162 The Erdoumls number of C at the end of the conference was

A 1 B 2 C 3 D 4

163 The Erdoumls number of E at the beginning of the conference was

A 5 B 6 C 7 D 8

164 How many participants had the same Erdoumls number at the beginning of the

conference

A 2 B 3 C 4 D 5

SET 44

K L M N P Q R S U and W are the only ten members in a department There is a proposal

to form a team from within the members of the department subject to the following

conditions

bull A team must include exactly one among P R and S

bull A team must include either M or Q but not both

bull If a team includes K then it must also include L and vice versa

bull If a team includes one among S U and W then it must also include the other two

bull L and N cannot be members of the same team

bull L and U cannot be members of the same team

The size of a team is defined as the number of members in the team

165 Who can be a member of a team of size 5

A K B L C M D P

166 Who cannot be a member of a team of size 3

A L B M C N D P

167 What could be the size of a team that includes K

A 2 or 3 B 2 or 4 C 3 or 4 D Only 4

168 In how many ways a team can be constituted so that the team includes N

A 2 B 3 C 4 D 6

SET 45

(i) There are three houses on each side of the road

(ii) These six houses are labeled as P Q R S T and U

(iii) The houses are of different colours namely Red Blue Green Orange Yellow and

White

(iv) The houses are of different heights

(v) T the tallest house is exactly opposite to the Red coloured house

(vi) The shortest house is exactly opposite to the Green coloured house

(vii) U the Orange coloured house is located between P and S

(viii) R the Yellow coloured house is exactly opposite to P

(ix) Q the Green coloured house is exactly opposite to U

(x) P the White coloured house is taller than R but shorter than S and Q

169 Which is the second tallest house

A P B S C Q D cannot be determined

170 What is the colour of the house diagonally opposite to the Yellow coloured house

A White B Blue C Green D Red

171 What is the colour of the tallest house

A Red B Blue C Green D Yellow

SET 46

A leading socialite decided to organise a dinner and invited a few of her friends Only the

host and the hostess were sitting at the opposite ends of a rectangular table with three

persons along each side The pre-requisite for the seating arrangement was that each person

must be seated such that atleast on one side it has a person of opposite sex Maqbool is

opposite Shobha who is not the hostess Ratan has a woman on his right and is sitting

opposite a woman Monisha is sitting to the hostessrsquos right next to Dhirubhai One person is

seated between Madhuri and Urmila who is not the hostess The men were Maqbool Ratan

Dhirubhai and Jackie while the women were Madhuri Urmila Shobha and Monisha

172 The eighth person present Jackie must be I the host II seated to Shobarsquos right III

seated opposite Urmila

A I only B III only C I and II only D II and III only

173 Which of the following persons is definitely not seated next to a person of the same

sex

A Maqbool B Madhuri C Jackie D Shobha

174 If Ratan would have exchanged seats with a person four places to his left which of

the following would have been true after the exchange

I No one was seated between two persons of the opposite sex (eg no man was seated

between two women)

II One side of the table consisted entirely of persons of the same sex

III Either the host or the hostess changed seats

A I only B II only C I and II only D II and III only

175 If each person is placed directly opposite his or her spouse which of the following

pairs must be married

A Ratan and Monisha B Madhuri and Dhirubhai

C Urmila and Jackie D Ratan and Madhuri

SET 47

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

A 10 B 32 C 60 D Insufficient data SET 20 AMS Inc is the leader in selling ideas universe wide but its maximum revenue comes from three principal planets only viz Earth Mars Jupiter Further it has three products viz CSP CC and CP In a particular year the number of units sold had a distribution as follows The number of units of CCs sold on Mars was 12 per cent of the number of units of CPs sold on Earth The number of units of CPs sold on Jupiter was 1000 Total number of CC units sold was 2600 Total number of CP units was 200 higher than that of the total number of units of CCs sold The number of units of CSP sold on Mars was 10 per cent of the number of units of CP sold on Jupiter The number of units of CSP sold on Earth was 2000 The number of units of CC sold on Earth was 15 per cent of the number of units CSP sold on Jupiter The prices of the units on the different planets were as follows Earth rarr Rs 15 per unit Mars rarr Rs 10 per unit Jupiter rarrRs 8 per unit The number of units of CSP sold on Jupiter was 300 The number of units of CP sold on Earth was 600

75 The number of units of CC sold on Jupiter is A 1520 B 2483 C 3423 D 600

76 The revenue generated on Earth is greater than that generated on Jupiter by about A Rs 8000 B Rs 9000 C Rs 10000 D None of these

77 The overall revenue generated is the highest from A CSPs B CP C CCs D Canrsquot be determined SET 21 An organization consists of 3500 employees working in different departments viz HR Marketing IT Production and Accounts The ratio of male to female employees in the organisation is 3 2 8 of the males work in the HR department 22 of the female work in the account department The ratio of males to females working in the HR department is 3 5 Oneseventh of the females work in the IT department 46 of the males work in the

Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

78 The number of males working in the Account department forms approximately what percent of the total number of males in the organisation A 6 B 8 C 10 D 11

79 How many females work in Production department A 140 B 200 C 180 D None

80 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A 28 B 32 C 29 D 31

81 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A 15 8 B 1 2 C 8 15 D 2 1

SET 22 A B and C started a business by investing Rs 800 Rs 1600 and Rs 2000 respectively After a quarter they invested amounts in a ratio 1 4 2 After another quarter they invested amounts in ratio 3 2 3In the last quarter the ratio of investments was same as in 2nd quarter Also in the last quarter the respective amounts of A B and C was double than the respective amounts invested in 2nd quarter The total investment of C before 4th quarter was Rs 1400 more than that of A during same duration Also ratio of Brsquos share in profit to total profit at the end of year was 66 153

82 Find the total investment of A B and C A Rs 10200 B Rs 11300 C Rs 9800 D Rs 10080

83 If they respectively had invested same amounts in each quarter after quarter 1 which is equal to their respective investments in quarter 1 then what would be the profit of A at the end of year out of a total profit of Rs 19350 A Rs 2510 B Rs 3320 C Rs 2560 D Rs 3150

84 If the respective investments in third quarter was changed and this was in ratio 2 4 1 (other investments being the same) then what would be the total investment of all three in third quarter if the average investment of all A B and C was Rs 3100 for whole year A Rs 500 B Rs 800 C Rs 700 D Rs 900 SET 23 The total population of village satana is 3550 out of which 36 people are below poverty line The total population of Satana is 11 frac14 less than the total population of amin while there are 29 people in amin who lives below poverty line In Nilokheri the people living below poverty line are 40 more than that in amin which is 40 of the total population of this village The average population of Gharaunda and Samalkha is equal to the average population of amin and Nilokheri while the difference between their population is 1800 (Village Samalkha is more populated) 47 of the population of Gharaunda are below poverty line Overall 46 of the population of all villagesrsquo together lives below poverty line

85 What percent of population of Samalkha lives above poverty line (Approximate) A 26 B 27 C 28 D 29

86 Find the approximate average no of people below poverty line in the given villages A 1610 B 1620 C 1615 D 1320

87 If 35 of the BPL population of Nilokheri are children while 30 of the overall population of this village are children Then what percent of population above poverty line are children A 25 B 30 C 26 13 D 26 23

88 What is the difference between total population of Nilokheri and that of Gharaunda A 300 B 200 C 250 D 400

SET 24

Gaurav a sweet seller bought some quantity of three types of sweets Rasgulla Rasmalai and Kalakand in ratio of 6 10 9 Kalakand costed him a total of Rs 18900 at rate of 420 per kg By selling Kalakand at a discount of 5 he earned a profit of 13 221 On Rasmalai (which was marked Rs 500 per kg) he earned Rs 5 less profit per kg as compared to that on Kalakand by selling Rasmalai at 10 discount Gaurav spent a total of Rs 46400 on buying these sweets while he earned a total profit of Rs 5875 on selling all bought sweets Rasgullas were marked 40 above cost price per kg

89 What is the difference between the number of Accord cars sold by dealers D and E together

and the number of City cars sold by dealers B and F together A 3658 B 3712 C 4205 D 3252

90 If Gaurav gave an extra discount of 20 on Kalakand then his gain or loss was

A 9 11

21 profit B 8

11

21 loss C 10

11

23 loss D 9

11

21 loss

91 Find the total quantity of sweets bought by Gaurav A 135 kg B 126 kg C 125 kg D 120 kg

92 If 10kg of Rasmalai was wasted away due to some reason Find profit or loss by selling the remaining Rasmalai as per given condition A 10 loss B 10 gain C 12 loss D 15 loss SET 25 An organization consists of 3500 employees working in different departments viz HR Marketing IT Production and Accounts The ratio of male to female employees in the organisation is 3 2 8 of the males work in the HR department 22 of the female work in the account department The ratio of males to females working in the HR department is 3 5 One-seventh of the females work in the IT department 46 of the males work in the Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

93 The number of males working in the Account department forms approximately what per cent of the total number of males in the organisation A 6 B8 C10 D11

94 How many females work in Production department A 140 B200 C180 DNone of these

95 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A28 B30 C29 D31

96 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A158 B12 C815 D21 SET 26

In the recently held Commonwealth Games a total number of 500 players participated in five different games viz Athletics Hockey Lawn Tennis Rugby and Badminton 15 of the total players participated in Badminton 25 of the total players participated in Hockey 6 of the total players participated in Lawn Tennis and 25 of the total players participated in Athletics The remaining players participated in Rugby One-fourth of the Hockey players are females 20 of the Badminton players are males Half of the players who participated in Lawn Tennis are males There are 55 female athletes No female player participated in Rugby

97 The number of female players who participated in Badminton is approximately what per cent of the total number of players who participated in Rugby A82 B80 C86 D76

98 What is the difference between the number of male players who participated in Hockey and the number of female players who participated in Lawn Tennis A125 B145 C130 D135

99 If due to certain reason Athletics was dropped and all the athletes left the tournament then what was the percentage of male players among the total players remaining in the tournament A4566 B4033 C3533 DNone of these

100 What is the ratio of the total number of male players participating in Badminton to the total number of female players participating in Hockey A353 B310 C510 D325 SET 27 The premises of an institute are to be renovated Only the floor is to be renovated either with marble or with wood All rooms halls and pantry are rectangular The area to be renovated comprises a hall measuring 33m by 39m The directorrsquos room measures 13m by 12m and the pantry measures 14m by 12m A record keeping-cum-server room measures 23m by 13m and the accounts room measures 12m by 23m The total area of the institute is 2500 square metres The cost of wooden flooring is Rs 170 per square metre and the cost of marble flooring is Rs 190 per square metre The accounts room the record keeping-cum-server room and the pantry are to be floored with marble The directorrsquos room and the hall are to be floored with wood

101 What is the ratio of the total cost of wooden flooring to the total cost of marble flooring A 1443 735 B 8177 4655 C 1443 4655 D 24531 14117

102 If four walls and ceiling of the room (the height of the room is 15 metres) are to be painted at the cost of Rs 190 per square metre how much will be the total cost of renovation of the directorrsquos room including the cost of flooring A 198660 B 178680 C 198880 D 22876

103 If the remaining area of the institute is to be carpeted at the rate of Rs 210 per square metre by how much will the cost of renovation of institute premises increase A 75000 B72840 C65940 D 75940

104 What is the percentage area of the institute that is not to be renovated A1644 B1356 C1455 D1256

SET 28 A total of 1650 students are studying in an engineering college in different departments The ratio of male students to female students in the college is 8679 The college had a total of 5 departments which are mechanical civil electrical Biotechnology and computer science Total 198 males study in the mechanical department 18 students study in the civil department in which male to female ratio is 54 In the biotechnology department 77 male students are studying and the number of female students in this department is 57th of the number of males The total number of male students in the civil department is equal to the number of female students in the mechanical department The number of males in biotechnology department is half of the number of total male students in computer science department In the electrical department the male to female ratio is 1419

105 The number of male students in electrical department is how much more than female students in mechanical

106 Female students in electrical department is what of the total number of females in the college (approximately) SET 29 During the period 1990-91 to 1994-95 the unit sales of Motorcycles witnessed a simple average growth rate of 45 and the unit price experienced a simple average growth rate of 41 In the year 1990-91 amp 1992-93 the selling price of motorcycle was Rs 50000 The unit selling price rose by Rs 2500 each in the years 1991-92 and 1994-95 Between 1990-91 and 1992-93 unit sales increased by 155 In 1992-93 approx 2888 units and in 1993-94 3000 units were sold In 1991-92 the sales increased by Rs 1281 crore and number of units sold increased by 125

107 The rupee sales of the motorcycles in 1990-91 is A Rs 180crore B Rs 125crore C Rs 135crore D Rs 100crore

108 How many motorcycles were sold in 1991-92 A 2500 B 2625 C 3050 D 4000

109 How many motorcycles were sold during the period 1990-91 to 1994-95 A 15025 B 14005 C 14076 D 15000

110 What is the selling price of a motorcycle in 1993-94 A Rs 50000 B Rs 52500 C Rs 57750 D Rs 60000

SET 30 Mlon huskthe space Y inventor took his team of scientist to newly found planetrdquoEuro Chandrdquo The team agreed on the condition that they will not do any research during their visit but will only do rest But Husk as per his nature observed various phenomenon on new planet including the gravitational pull He observed that a kg on earth is equivalent to 12 kg on Euro chand except kg on new planet is called Euroc Slen weighs 552 Euroc weighs heavier than all except Plen who weighs 108 Euroc more Olen the lightest weighs 252 Euroc less than Dlen Jlen weighs 48 Euroc less than Slen and 48 Euroc more than Dlen

111 What is the weight of Plen (in Kg) A55 B46 C17 D48

112 What is the weight of Olen (in Euronc ) A505 B246 C218 D204

113 Approximately how many times is the weight of Plen that of Dlen A145 B107 C218 D214

114 Weight of Dlen is what moreless than weight of Jlen

A111 B108 C95 D121 SET 31 In a MNC there are 5000 employees In that there are 6 departments ie Accounts department maintenance-admin department HR department production department RampD department marketing department In maintenance- admin department there is 15 of total number of employees In that 40 are females Total number of persons working in RampD department is equal to total number of males working in maintenance department Male to female ratio of RampD is 45In production department 1500 persons are working there are males only In HR department the number of persons working is 15 of number of persons working in production department where 80 are females The number of people working in Accounts department is 60 of production department in that number of females are 550 The number of female in marketing department 500

115 Total number of males in RampD department is what percentage of total number of males in the marketing department A50 B 375 C 33 13 D1007

116 What is the percentage increasedecrease in total number of females in HR department to the total number of males in maintenance ndash admin department A5334 increase B5334 decrease C4666 increase D4666decrease

117 What is the difference between total number of males in marketing department to total number of females in the accounts department A75 B50 C60 D90

118 What is the ratio of total number of males in HR department to the total number of females in maintenance ndash admin department A15 B27 C35 D47 SET 32

According to A the census has been taken by the Government for literacy rate in two villages

A and B total population is 6 00000 In which the ratio between total numbers of males to

total number of females is 53 and the ratio of total population in village A to village B is 1713

The ratio of number of males in village A to number of males in village B is 78Total Ratio of

literate to illiterate (in men) 41 Out of total women only 35 are literates Total percentage

of adults is 80 ( m f = 53) in total population and in remaining 10 are children all other

peoples are senior citizens

119 What is the difference between literate people to total number of senior citizens

A378750 B78750 C270750 D221250

120 Total number of literate males in village A (if 45 of literate males are in Village A) is what percentage of total number of illiterate Females (Approximately) A97 B92 C89 D85

121 What is the ratio of males in village B to Adult females in the survey A54 B45 C910 D109

122 What is the increasedecrease in percentage of total number children to the

difference between the populations of village A to village B

A85 decrease B 85 increase C 95 increase D95 decrease

SET 33 Acity consists of 2400 employees working in different IT companies viz TCS Infosys Wipro Tech Mahindra and Oracle The ratio of male to female employees in the city is 5 3 respectively Twelve per cent of the males work in the TCS Company Twenty four per cent of the females work in the Oracle Company The ratio of males to females working in the TCS company is 6 11 respectively One-ninth of the females work in the Wipro Company Forty two percent of the males work in the Tech Mahindra Company Number of females working in the Tech Mahindra Company is ten percent of the males working in the same The remaining females work in the Infosys Company The total number of employees working in the Wipro Company is 285 Twenty two percent of the males work in the Infosys Company and the remaining work in the Oracle Company

123 The number of females working in the Tech Mahindra Company TCS Company and Infosys company together forms what percent of the total number of females in the City A6488 B5765 C 4896 D7527

124 The total number of females working in the TCS and Infosys Company together

forms what percent of the total number of employees in Tech Mahindra Company

A7018 B8047 C 7526 D7518

125 What is the difference between the number of males in Infosys Company and

number of females to the Oracle Company together to the number of males in Tech

Mahindra Company and number of females to the TCS Company together

A434 B427 C404 D414

126 The number of males working in the Wipro Company and the number of females

working in the Infosys Company together forms approximately what percent of the total

number of males in the City (Rounded off the nearest percentage)

A50 B25 C21 D18

SET 34

A School consisting of a total of 1560 students has boys and girls in the ratio of 7 5

respectively All the students are enrolled for different country tours viz Russia Switzerland

and Japan One-fifth of the boys are enrolled for only Switzerland tour Twenty percent of

the girls are enrolled for only Japan tour Ten percent of the boys are enrolled for only Russia

tour Twenty four percent of the girls are enrolled for both Russia and Switzerland tour

together The number of girls enrolled for only Russia tour is two hundred percent of the

boys enrolled in the same One-thirteenth of the boys are enrolled for all the three tour

together The respective ratio of boys enrolled for Switzerland and Japan tour together to

the girls enrolled for the same is 2 1 respectively Ten percent of the girls are enrolled for

only Switzerland tour whereas eight percent of the girls are enrolled for both Switzerland

and Japan tour together The remaining girls are enrolled for all the three tour together The

number of boys enrolled for Russia and Switzerland tour together is fifty percent of the

number of girls enrolled for the same The remaining boys are enrolled for only Japan tour

127 What is the respective ratio of the number of girls enrolled for only Japan tour and

number of boys enrolled for Switzerland tour together to the number of boys enrolled for

the Japan tour and number of girls enrolled for Switzerland tour together

A7752 B7552 C5275 D5277

128 Number of girls enrolled for only Switzerland Russia and Japantour together is what

percent of the boys together enrolled for the same (Rounded off to two digits after

decimal)

A3757 B5729 C6193 D5522

129 What is the total number of students enrolled for all the three tour and number of

girls enrolled for Switzerland and Russia tour together and number of boys enrolled for

Switzerland and Japan tour together

A395 B2415 C385 D390

130 What is the sum of the total number of boys who are enrolled for Switzerland and

the total number of girls who are enrolled for same tour together

A872 B752 C802 D772

SET 35

A radio station surveyed 200 students to determine the types of music they liked There are

three types of music rock music folk music and classical music The survey revealed that 57

percent liked rock music 25 percent liked folk music and 205 percent liked classical music 14

students liked rock music and folk music 15 students liked rock music and classical music 6

students liked only classical music and folk music 90 of them liked only rock music

131 How many of them liked folk music but not rock music

A36 B41 C30 D44

132 How many of them liked any two types of music only

A15 B16 C19 D25

133 How many students did not like any of the three types

A35 B40 C30 D25

134 What is the ratio of who liked rock and classical music together to the ratio of who

liked only folk music

A51 B3110 C316 D125

SET 36

In a shopping mall there are three different varieties of dress materials Cotton Silk and

Chiffon There are 300 customers visited the Shop 50 of customers purchased Cotton

material 40 of customers purchased Chiffon material and 60 of customers purchased Silk

material The customers who purchased any of two dress materials are 90 20 of

customers who purchased Cotton also purchased other two materials The customers who

purchased only Silk material are 20 more than that of who purchased only Chiffon material

30 Customers are purchased only Silk and Chiffon material

135 How many of them purchased only one variety of dress material

A150 B180 C120 D160

136 How many of them purchased at least two types of dress materials

A90 B100 C120 D140

137 What is the percentage of the customers who purchased only Silk material to that of

the customers who purchased all types of dress material

A30043 B30553 C35523 D23333

138 How many of them did not purchase any of the three types of materials

A10 B15 C5 D None

SET 37

In a sports event six teams (A B C D E and F) are competing against each other Matches

are scheduled in two stages Each team plays three matches in stage ndash I and two matches in

Stage ndash II No team plays against the same team more than once in the event No ties are

permitted in any of the matches The observations after the completion of Stage ndash I and

Stage ndash II are as given below

Stage-I

bull One team won all the three matches

bull Two teams lost all the matches

bull D lost to A but won against C and F

bull E lost to B but won against C and F

bull B lost at least one match

bull F did not play against the top team of Stage-I

Stage-II

bull The leader of Stage-I lost the next two matches

bull Of the two teams at the bottom after Stage-I one team won both matches while the

other lost both matches

bull One more team lost both matches in Stage-II

139 The two teams that defeated the leader of Stage-I are

A F amp D B E amp F C B amp D D E amp D

140 The only team(s) that won both matches in Stage-II is (are)

A B B E amp F C A E amp F D B E amp F

141 The teams that won exactly two matches in the event are

A A D amp F B D amp E C E amp F D D amp F

142 The team(s) with the most wins in the event is (are)

A A B A amp C C B amp E D E

SET 38

Two traders Chetan and Michael were involved in the buying and selling of MCS shares

over five trading days At the beginning of the first day the MCS share was priced at ₹100

while at the end of the fifth day it was priced at ₹110 At the end of each day the MCS share

price either went up by ₹10 or else it came down by ₹10 Both Chetan and Michael took

buying and selling decisions at the end of each trading day The beginning price of MCS share

on a given day was the same as the ending price of the previous day Chetan and Michael

started with the same number of shares and amount of cash and had enough of both

Below are some additional facts about how Chetan and Michael traded over the five trading

days

middot Each day if the price went up Chetan sold 10 shares of MCS at the closing price On the

other hand each day if the price went down he bought 10 shares at the closing price

middot If on any day the closing price was above ₹110 then Michael sold 10 shares of MCS

while if it was below ₹90 he bought 10 shares all at the closing price

143 If Chetan sold 10 shares of MCS on three consecutive days while Michael sold 10

shares only once during the five days what was the price of MCS at the end of day 3

A ₹ 90 B ₹100 C ₹110 D ₹120

144 If Chetan ended up with ₹1300 more cash than Michael at the end of day 5 what

was the price of MCS share at the end of day 4

A ₹90 B ₹100 C ₹110 D₹120

145 If Michael ended up with 20 more shares than Chetan at the end of day 5 what was

the price of the share at the end of day 3

A₹90 B ₹100 C ₹110 D ₹120

146 If Michael ended up with ₹100 less cash than Chetan at the end of day 5 what was

the difference in the number of shares possessed by Michael and Chetan (at the end of day

5)

A Michael had 10 less shares than Chetan

B Michael had 10 more shares than Chetan

C Chetan had 10 more shares than Michael

D Both had the same number of shares

SET 39

Bankatlal acted as a judge for the beauty contest There were four participants viz Ms

Andhra Pradesh Ms Uttar Pradesh Ms West Bengal and Ms Maharashtra Mrs Bankatlal

who was very anxious about the result asked him about it as soon as he was back home

Bankatlal just told that the one who was wearing the yellow saree won the contest When

Mrs Bankatlal pressed for further details he elaborated as follows

I All of them were sitting in a row

II All of them wore sarees of different colors viz Green Yellow White Red

III There was only one runner up and she was sitting beside Ms Maharashtra

IV The runner up was wearing the Green saree

V Ms West Bengal was not sitting at the ends and was not a runner up

VI The winner and the runner up are not sitting adjacent to each other

VII Ms Maharashtra was wearing white saree

VIII Ms Andhra Pradesh was not wearing the Green saree

IX Participants wearing Yellow saree and White saree were at the ends

147 Who wore the Red saree A Ms Andhra Pradesh B Ms West Bengal C Ms Uttar Pradesh D Ms Maharashtra

148 Ms West Bengal was sitting adjacent to A Ms Andhra Pradesh and Ms Maharashtra B Ms Uttar Pradesh and Ms Maharashta C Ms Andhra Pradesh and Ms Uttar Pradesh D Ms Uttar Pradesh only

149 Which saree was worn by Ms Andhra Pradesh A Yellow B Red C Green D White

150 Who was the runner up

A Ms Andhra Pradesh B Ms West Bengal

C Ms Uttar Pradesh D Ms Maharashta

SET 40

Ghosh Babu goes to a casino in Kay - Kay islands where he comes across an interesting game

of cards The visitor playing the game is called the player amp the clubman is called the dealer

The rules of the game are as follows First the player picks the card This card is called the

base card amp the number on the face of the card is called the base value of the card Ace

King Queen amp Jack all have base value of 10 The dealer pays the player same number of

rupees as the base value of the card Now the dealer picks a card amp This is called the top

card If topcard is of the same suite then the player pays the dealer double the amount of

base value If it is of the same colour but not the same suite then the player pays the dealer

the amount of a bse value If it is of different colour then the dealer pays the player the

amount of base value Ghosh Babu plays the game 4 times First time he draws 8 of club amp

the dealer draws jack of club Second time he draws 10 of hearts amp the dealer draws 2 of

spade Third time he draws 6 of diamond amp the dealer draws 1 of heart Finally Ghosh Babu

draws 8 of spade and the dealer draws ace of the spade

151 If Ghosh Babu should leave the game when his profit is maximum then what is that

profit

A 12 B 18 C 20 D None of these

152 If Ghosh Babu did not have to borrow any money from anyone then what is the

minimum amount that he could have started with

A 16 B 24 C 8 D None of these

153 If Ghosh Babu is left with 100 rupees now what is the amount that he had started

with

A 120 B 104 C 96 D None of these

SET 41

Twenty one participants from four continents (Africa Americas Australasia and Europe)

attended a United Nations conference Each participant was an expert in one of four fields

labour health population studies and refugee relocation The following five facts about the

participants are given

I The number of labour experts in the camp was exactly half the number of experts in each

of the three other categories

II Africa did not send any labour expert Otherwise every continent including Africa sent at

least one expert for each category

III None of the continents sent more than three experts in any category

IV If there had been one less Australasian expert then the America would have had twice

many experts as each of the other continents

V Mike and Alfanso are leading experts of population studies who attended the conference

They are from Australasia

154 Which of the following numbers cannot be determined from the information given

A Number of labour experts from the Americas

B Number of health experts from Europe

C Number of health experts from Australasia

D Number of experts in refugee relocation from Africa

155 Which of the following combinations is NOT possible

A 2 experts in population studies from the Americas and 2 health experts from Africa

attended the conference

B 2 experts in population studies from the Americas and 1 health expert from Africa

attended the conference

C 3 experts in refugee relocation from the Americas and 1 health expert from Africa

attended the conference

D Africa and America each had 1 expert in population studies attending the conference

156 If Ramos is the lone America expert in population studies which of the following is

NOT true about the numbers of experts in the conference from the four continents

A There is one expert in health from Africa

B There is one expert in refugee relocation from Africa

C There are two experts in health from the Americas

D There are three experts in refugee relocation from the Americas

157 Alex an American expert in refugee relocation was the first keynote speaker in the

conference What can be inferred about the number of American experts in refugee

relocation in the conference excluding Alex (i) At least one (ii) Atmost two

A Only (i) and not (ii) B Only (ii) and not (i)

C Both (i) and (ii) D Neither (i) nor (ii)

SET 42

Help Distress (HD) is an NGO involved in providing assistance to people suffering from

natural disasters Currently it has 37 volunteers They are involved in three projects

Tsunami Relief (TR) in Tamil Nadu Flood Relief (FR) in Maharashtra and Earthquake Relief

(ER) in Gujarat Each volunteer working with Help Distress has to be involved in at least one

relief work project

bull A Maximum number of volunteers are involved in the FR project Among them the

number of volunteers involved in FR project alone is equal to the volunteers having

additional involvement in the ER project

bull The number of volunteers involved in the ER project alone is double the number of

volunteers involved in all the three projects

bull 17 volunteers are involved in the TR project

bull The number of volunteers involved in the TR project alone is one less than the number of

volunteers involved in ER project alone

bull Ten volunteers involved in the TR project are also involved in at least one more project

158 Based on the information given above the minimum number of volunteers involved

in both FR and TR projects but not in the ER project is

A 1 B 3 C 4 D 5

159 Which of the following additional information would enable to find the exact

number of volunteers involved in various projects

A Twenty volunteers are involved in FR B Four volunteers are involved in all the three projects C Twenty three volunteers are involved in exactly one project D No need for any additional information

160 After some time the volunteers who were involved in all the three projects were

asked to withdraw from one project As a result one of the volunteers opted out of the TR

project and one opted out of the ER project while the remaining ones involved in all the

three projects opted out of the FR project Which of the following statements then

necessarily follows

A The lowest number of volunteers is now in TR project B More volunteers are now in FR project as compared to ER project C More volunteers are now in TR project as compared to ER project D None of the above

161 After the withdrawal of volunteers as indicated in Question 85 some new

volunteers joined the NGO Each one of them was allotted only one project in a manner such

that the number of volunteers working in one project alone for each of the three projects

became identical At that point it was also found that the number of volunteers involved in

FR and ER projects was the same as the number of volunteers involved in TR and ER projects

Which of the projects now has the highest number of volunteers

A ER B FR C TR D Cannot be determined

SET 43

Mathematicians are assigned a number called Erdoumls number (named after the famous

mathematician Paul Erdoumls) Only Paul Erdoumls himself has an Erdoumls number of zero Any

mathematician who has written a research paper with Erdoumls has an Erdoumls number of 1 For

other mathematicians the calculation of hisher Erdoumls number is illustrated below

Suppose that a mathematician X has co-authored papers with several other mathematicians

From among them mathematician Y has the smallest Erdoumls number Let the Erdoumls number

of Y be y Then X has an Erdoumls number of y + 1 Hence any mathematician with no co-

authorship chain connected to Erdoumls has an Erdoumls number of infinity In a seven day long

mini-conference organized in memory of Paul Erdoumls a close group of eight mathematicians

call them A B C D E F G and H discussed some research problems At the beginning of the

conference A was the only participant who had an infinite Erdoumls number Nobody had an

Erdoumls number less than that of F

bull On the third day of the conference F co-authored a paper jointly with A and C This

reduced the average Erdoumls number of the group of eight mathematicians to 3 The Erdoumls

numbers of B D E G and H remained unchanged with the writing of this paper Further no

other co-authorship among any three members would have reduced the average Erdoumls

number of the group of eight to as low as 3

bull At the end of the third day five members of this group had identical Erdoumls numbers while

the other three had Erdoumls numbers distinct from each other

bull On the fifth day E co-authored a paper with F which reduced the grouprsquos average Erdoumls

number by 05 The Erdoumls numbers of the remaining six were unchanged with the writing of

this paper

bull No other paper was written during the conference

162 The Erdoumls number of C at the end of the conference was

A 1 B 2 C 3 D 4

163 The Erdoumls number of E at the beginning of the conference was

A 5 B 6 C 7 D 8

164 How many participants had the same Erdoumls number at the beginning of the

conference

A 2 B 3 C 4 D 5

SET 44

K L M N P Q R S U and W are the only ten members in a department There is a proposal

to form a team from within the members of the department subject to the following

conditions

bull A team must include exactly one among P R and S

bull A team must include either M or Q but not both

bull If a team includes K then it must also include L and vice versa

bull If a team includes one among S U and W then it must also include the other two

bull L and N cannot be members of the same team

bull L and U cannot be members of the same team

The size of a team is defined as the number of members in the team

165 Who can be a member of a team of size 5

A K B L C M D P

166 Who cannot be a member of a team of size 3

A L B M C N D P

167 What could be the size of a team that includes K

A 2 or 3 B 2 or 4 C 3 or 4 D Only 4

168 In how many ways a team can be constituted so that the team includes N

A 2 B 3 C 4 D 6

SET 45

(i) There are three houses on each side of the road

(ii) These six houses are labeled as P Q R S T and U

(iii) The houses are of different colours namely Red Blue Green Orange Yellow and

White

(iv) The houses are of different heights

(v) T the tallest house is exactly opposite to the Red coloured house

(vi) The shortest house is exactly opposite to the Green coloured house

(vii) U the Orange coloured house is located between P and S

(viii) R the Yellow coloured house is exactly opposite to P

(ix) Q the Green coloured house is exactly opposite to U

(x) P the White coloured house is taller than R but shorter than S and Q

169 Which is the second tallest house

A P B S C Q D cannot be determined

170 What is the colour of the house diagonally opposite to the Yellow coloured house

A White B Blue C Green D Red

171 What is the colour of the tallest house

A Red B Blue C Green D Yellow

SET 46

A leading socialite decided to organise a dinner and invited a few of her friends Only the

host and the hostess were sitting at the opposite ends of a rectangular table with three

persons along each side The pre-requisite for the seating arrangement was that each person

must be seated such that atleast on one side it has a person of opposite sex Maqbool is

opposite Shobha who is not the hostess Ratan has a woman on his right and is sitting

opposite a woman Monisha is sitting to the hostessrsquos right next to Dhirubhai One person is

seated between Madhuri and Urmila who is not the hostess The men were Maqbool Ratan

Dhirubhai and Jackie while the women were Madhuri Urmila Shobha and Monisha

172 The eighth person present Jackie must be I the host II seated to Shobarsquos right III

seated opposite Urmila

A I only B III only C I and II only D II and III only

173 Which of the following persons is definitely not seated next to a person of the same

sex

A Maqbool B Madhuri C Jackie D Shobha

174 If Ratan would have exchanged seats with a person four places to his left which of

the following would have been true after the exchange

I No one was seated between two persons of the opposite sex (eg no man was seated

between two women)

II One side of the table consisted entirely of persons of the same sex

III Either the host or the hostess changed seats

A I only B II only C I and II only D II and III only

175 If each person is placed directly opposite his or her spouse which of the following

pairs must be married

A Ratan and Monisha B Madhuri and Dhirubhai

C Urmila and Jackie D Ratan and Madhuri

SET 47

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

78 The number of males working in the Account department forms approximately what percent of the total number of males in the organisation A 6 B 8 C 10 D 11

79 How many females work in Production department A 140 B 200 C 180 D None

80 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A 28 B 32 C 29 D 31

81 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A 15 8 B 1 2 C 8 15 D 2 1

SET 22 A B and C started a business by investing Rs 800 Rs 1600 and Rs 2000 respectively After a quarter they invested amounts in a ratio 1 4 2 After another quarter they invested amounts in ratio 3 2 3In the last quarter the ratio of investments was same as in 2nd quarter Also in the last quarter the respective amounts of A B and C was double than the respective amounts invested in 2nd quarter The total investment of C before 4th quarter was Rs 1400 more than that of A during same duration Also ratio of Brsquos share in profit to total profit at the end of year was 66 153

82 Find the total investment of A B and C A Rs 10200 B Rs 11300 C Rs 9800 D Rs 10080

83 If they respectively had invested same amounts in each quarter after quarter 1 which is equal to their respective investments in quarter 1 then what would be the profit of A at the end of year out of a total profit of Rs 19350 A Rs 2510 B Rs 3320 C Rs 2560 D Rs 3150

84 If the respective investments in third quarter was changed and this was in ratio 2 4 1 (other investments being the same) then what would be the total investment of all three in third quarter if the average investment of all A B and C was Rs 3100 for whole year A Rs 500 B Rs 800 C Rs 700 D Rs 900 SET 23 The total population of village satana is 3550 out of which 36 people are below poverty line The total population of Satana is 11 frac14 less than the total population of amin while there are 29 people in amin who lives below poverty line In Nilokheri the people living below poverty line are 40 more than that in amin which is 40 of the total population of this village The average population of Gharaunda and Samalkha is equal to the average population of amin and Nilokheri while the difference between their population is 1800 (Village Samalkha is more populated) 47 of the population of Gharaunda are below poverty line Overall 46 of the population of all villagesrsquo together lives below poverty line

85 What percent of population of Samalkha lives above poverty line (Approximate) A 26 B 27 C 28 D 29

86 Find the approximate average no of people below poverty line in the given villages A 1610 B 1620 C 1615 D 1320

87 If 35 of the BPL population of Nilokheri are children while 30 of the overall population of this village are children Then what percent of population above poverty line are children A 25 B 30 C 26 13 D 26 23

88 What is the difference between total population of Nilokheri and that of Gharaunda A 300 B 200 C 250 D 400

SET 24

Gaurav a sweet seller bought some quantity of three types of sweets Rasgulla Rasmalai and Kalakand in ratio of 6 10 9 Kalakand costed him a total of Rs 18900 at rate of 420 per kg By selling Kalakand at a discount of 5 he earned a profit of 13 221 On Rasmalai (which was marked Rs 500 per kg) he earned Rs 5 less profit per kg as compared to that on Kalakand by selling Rasmalai at 10 discount Gaurav spent a total of Rs 46400 on buying these sweets while he earned a total profit of Rs 5875 on selling all bought sweets Rasgullas were marked 40 above cost price per kg

89 What is the difference between the number of Accord cars sold by dealers D and E together

and the number of City cars sold by dealers B and F together A 3658 B 3712 C 4205 D 3252

90 If Gaurav gave an extra discount of 20 on Kalakand then his gain or loss was

A 9 11

21 profit B 8

11

21 loss C 10

11

23 loss D 9

11

21 loss

91 Find the total quantity of sweets bought by Gaurav A 135 kg B 126 kg C 125 kg D 120 kg

92 If 10kg of Rasmalai was wasted away due to some reason Find profit or loss by selling the remaining Rasmalai as per given condition A 10 loss B 10 gain C 12 loss D 15 loss SET 25 An organization consists of 3500 employees working in different departments viz HR Marketing IT Production and Accounts The ratio of male to female employees in the organisation is 3 2 8 of the males work in the HR department 22 of the female work in the account department The ratio of males to females working in the HR department is 3 5 One-seventh of the females work in the IT department 46 of the males work in the Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

93 The number of males working in the Account department forms approximately what per cent of the total number of males in the organisation A 6 B8 C10 D11

94 How many females work in Production department A 140 B200 C180 DNone of these

95 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A28 B30 C29 D31

96 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A158 B12 C815 D21 SET 26

In the recently held Commonwealth Games a total number of 500 players participated in five different games viz Athletics Hockey Lawn Tennis Rugby and Badminton 15 of the total players participated in Badminton 25 of the total players participated in Hockey 6 of the total players participated in Lawn Tennis and 25 of the total players participated in Athletics The remaining players participated in Rugby One-fourth of the Hockey players are females 20 of the Badminton players are males Half of the players who participated in Lawn Tennis are males There are 55 female athletes No female player participated in Rugby

97 The number of female players who participated in Badminton is approximately what per cent of the total number of players who participated in Rugby A82 B80 C86 D76

98 What is the difference between the number of male players who participated in Hockey and the number of female players who participated in Lawn Tennis A125 B145 C130 D135

99 If due to certain reason Athletics was dropped and all the athletes left the tournament then what was the percentage of male players among the total players remaining in the tournament A4566 B4033 C3533 DNone of these

100 What is the ratio of the total number of male players participating in Badminton to the total number of female players participating in Hockey A353 B310 C510 D325 SET 27 The premises of an institute are to be renovated Only the floor is to be renovated either with marble or with wood All rooms halls and pantry are rectangular The area to be renovated comprises a hall measuring 33m by 39m The directorrsquos room measures 13m by 12m and the pantry measures 14m by 12m A record keeping-cum-server room measures 23m by 13m and the accounts room measures 12m by 23m The total area of the institute is 2500 square metres The cost of wooden flooring is Rs 170 per square metre and the cost of marble flooring is Rs 190 per square metre The accounts room the record keeping-cum-server room and the pantry are to be floored with marble The directorrsquos room and the hall are to be floored with wood

101 What is the ratio of the total cost of wooden flooring to the total cost of marble flooring A 1443 735 B 8177 4655 C 1443 4655 D 24531 14117

102 If four walls and ceiling of the room (the height of the room is 15 metres) are to be painted at the cost of Rs 190 per square metre how much will be the total cost of renovation of the directorrsquos room including the cost of flooring A 198660 B 178680 C 198880 D 22876

103 If the remaining area of the institute is to be carpeted at the rate of Rs 210 per square metre by how much will the cost of renovation of institute premises increase A 75000 B72840 C65940 D 75940

104 What is the percentage area of the institute that is not to be renovated A1644 B1356 C1455 D1256

SET 28 A total of 1650 students are studying in an engineering college in different departments The ratio of male students to female students in the college is 8679 The college had a total of 5 departments which are mechanical civil electrical Biotechnology and computer science Total 198 males study in the mechanical department 18 students study in the civil department in which male to female ratio is 54 In the biotechnology department 77 male students are studying and the number of female students in this department is 57th of the number of males The total number of male students in the civil department is equal to the number of female students in the mechanical department The number of males in biotechnology department is half of the number of total male students in computer science department In the electrical department the male to female ratio is 1419

105 The number of male students in electrical department is how much more than female students in mechanical

106 Female students in electrical department is what of the total number of females in the college (approximately) SET 29 During the period 1990-91 to 1994-95 the unit sales of Motorcycles witnessed a simple average growth rate of 45 and the unit price experienced a simple average growth rate of 41 In the year 1990-91 amp 1992-93 the selling price of motorcycle was Rs 50000 The unit selling price rose by Rs 2500 each in the years 1991-92 and 1994-95 Between 1990-91 and 1992-93 unit sales increased by 155 In 1992-93 approx 2888 units and in 1993-94 3000 units were sold In 1991-92 the sales increased by Rs 1281 crore and number of units sold increased by 125

107 The rupee sales of the motorcycles in 1990-91 is A Rs 180crore B Rs 125crore C Rs 135crore D Rs 100crore

108 How many motorcycles were sold in 1991-92 A 2500 B 2625 C 3050 D 4000

109 How many motorcycles were sold during the period 1990-91 to 1994-95 A 15025 B 14005 C 14076 D 15000

110 What is the selling price of a motorcycle in 1993-94 A Rs 50000 B Rs 52500 C Rs 57750 D Rs 60000

SET 30 Mlon huskthe space Y inventor took his team of scientist to newly found planetrdquoEuro Chandrdquo The team agreed on the condition that they will not do any research during their visit but will only do rest But Husk as per his nature observed various phenomenon on new planet including the gravitational pull He observed that a kg on earth is equivalent to 12 kg on Euro chand except kg on new planet is called Euroc Slen weighs 552 Euroc weighs heavier than all except Plen who weighs 108 Euroc more Olen the lightest weighs 252 Euroc less than Dlen Jlen weighs 48 Euroc less than Slen and 48 Euroc more than Dlen

111 What is the weight of Plen (in Kg) A55 B46 C17 D48

112 What is the weight of Olen (in Euronc ) A505 B246 C218 D204

113 Approximately how many times is the weight of Plen that of Dlen A145 B107 C218 D214

114 Weight of Dlen is what moreless than weight of Jlen

A111 B108 C95 D121 SET 31 In a MNC there are 5000 employees In that there are 6 departments ie Accounts department maintenance-admin department HR department production department RampD department marketing department In maintenance- admin department there is 15 of total number of employees In that 40 are females Total number of persons working in RampD department is equal to total number of males working in maintenance department Male to female ratio of RampD is 45In production department 1500 persons are working there are males only In HR department the number of persons working is 15 of number of persons working in production department where 80 are females The number of people working in Accounts department is 60 of production department in that number of females are 550 The number of female in marketing department 500

115 Total number of males in RampD department is what percentage of total number of males in the marketing department A50 B 375 C 33 13 D1007

116 What is the percentage increasedecrease in total number of females in HR department to the total number of males in maintenance ndash admin department A5334 increase B5334 decrease C4666 increase D4666decrease

117 What is the difference between total number of males in marketing department to total number of females in the accounts department A75 B50 C60 D90

118 What is the ratio of total number of males in HR department to the total number of females in maintenance ndash admin department A15 B27 C35 D47 SET 32

According to A the census has been taken by the Government for literacy rate in two villages

A and B total population is 6 00000 In which the ratio between total numbers of males to

total number of females is 53 and the ratio of total population in village A to village B is 1713

The ratio of number of males in village A to number of males in village B is 78Total Ratio of

literate to illiterate (in men) 41 Out of total women only 35 are literates Total percentage

of adults is 80 ( m f = 53) in total population and in remaining 10 are children all other

peoples are senior citizens

119 What is the difference between literate people to total number of senior citizens

A378750 B78750 C270750 D221250

120 Total number of literate males in village A (if 45 of literate males are in Village A) is what percentage of total number of illiterate Females (Approximately) A97 B92 C89 D85

121 What is the ratio of males in village B to Adult females in the survey A54 B45 C910 D109

122 What is the increasedecrease in percentage of total number children to the

difference between the populations of village A to village B

A85 decrease B 85 increase C 95 increase D95 decrease

SET 33 Acity consists of 2400 employees working in different IT companies viz TCS Infosys Wipro Tech Mahindra and Oracle The ratio of male to female employees in the city is 5 3 respectively Twelve per cent of the males work in the TCS Company Twenty four per cent of the females work in the Oracle Company The ratio of males to females working in the TCS company is 6 11 respectively One-ninth of the females work in the Wipro Company Forty two percent of the males work in the Tech Mahindra Company Number of females working in the Tech Mahindra Company is ten percent of the males working in the same The remaining females work in the Infosys Company The total number of employees working in the Wipro Company is 285 Twenty two percent of the males work in the Infosys Company and the remaining work in the Oracle Company

123 The number of females working in the Tech Mahindra Company TCS Company and Infosys company together forms what percent of the total number of females in the City A6488 B5765 C 4896 D7527

124 The total number of females working in the TCS and Infosys Company together

forms what percent of the total number of employees in Tech Mahindra Company

A7018 B8047 C 7526 D7518

125 What is the difference between the number of males in Infosys Company and

number of females to the Oracle Company together to the number of males in Tech

Mahindra Company and number of females to the TCS Company together

A434 B427 C404 D414

126 The number of males working in the Wipro Company and the number of females

working in the Infosys Company together forms approximately what percent of the total

number of males in the City (Rounded off the nearest percentage)

A50 B25 C21 D18

SET 34

A School consisting of a total of 1560 students has boys and girls in the ratio of 7 5

respectively All the students are enrolled for different country tours viz Russia Switzerland

and Japan One-fifth of the boys are enrolled for only Switzerland tour Twenty percent of

the girls are enrolled for only Japan tour Ten percent of the boys are enrolled for only Russia

tour Twenty four percent of the girls are enrolled for both Russia and Switzerland tour

together The number of girls enrolled for only Russia tour is two hundred percent of the

boys enrolled in the same One-thirteenth of the boys are enrolled for all the three tour

together The respective ratio of boys enrolled for Switzerland and Japan tour together to

the girls enrolled for the same is 2 1 respectively Ten percent of the girls are enrolled for

only Switzerland tour whereas eight percent of the girls are enrolled for both Switzerland

and Japan tour together The remaining girls are enrolled for all the three tour together The

number of boys enrolled for Russia and Switzerland tour together is fifty percent of the

number of girls enrolled for the same The remaining boys are enrolled for only Japan tour

127 What is the respective ratio of the number of girls enrolled for only Japan tour and

number of boys enrolled for Switzerland tour together to the number of boys enrolled for

the Japan tour and number of girls enrolled for Switzerland tour together

A7752 B7552 C5275 D5277

128 Number of girls enrolled for only Switzerland Russia and Japantour together is what

percent of the boys together enrolled for the same (Rounded off to two digits after

decimal)

A3757 B5729 C6193 D5522

129 What is the total number of students enrolled for all the three tour and number of

girls enrolled for Switzerland and Russia tour together and number of boys enrolled for

Switzerland and Japan tour together

A395 B2415 C385 D390

130 What is the sum of the total number of boys who are enrolled for Switzerland and

the total number of girls who are enrolled for same tour together

A872 B752 C802 D772

SET 35

A radio station surveyed 200 students to determine the types of music they liked There are

three types of music rock music folk music and classical music The survey revealed that 57

percent liked rock music 25 percent liked folk music and 205 percent liked classical music 14

students liked rock music and folk music 15 students liked rock music and classical music 6

students liked only classical music and folk music 90 of them liked only rock music

131 How many of them liked folk music but not rock music

A36 B41 C30 D44

132 How many of them liked any two types of music only

A15 B16 C19 D25

133 How many students did not like any of the three types

A35 B40 C30 D25

134 What is the ratio of who liked rock and classical music together to the ratio of who

liked only folk music

A51 B3110 C316 D125

SET 36

In a shopping mall there are three different varieties of dress materials Cotton Silk and

Chiffon There are 300 customers visited the Shop 50 of customers purchased Cotton

material 40 of customers purchased Chiffon material and 60 of customers purchased Silk

material The customers who purchased any of two dress materials are 90 20 of

customers who purchased Cotton also purchased other two materials The customers who

purchased only Silk material are 20 more than that of who purchased only Chiffon material

30 Customers are purchased only Silk and Chiffon material

135 How many of them purchased only one variety of dress material

A150 B180 C120 D160

136 How many of them purchased at least two types of dress materials

A90 B100 C120 D140

137 What is the percentage of the customers who purchased only Silk material to that of

the customers who purchased all types of dress material

A30043 B30553 C35523 D23333

138 How many of them did not purchase any of the three types of materials

A10 B15 C5 D None

SET 37

In a sports event six teams (A B C D E and F) are competing against each other Matches

are scheduled in two stages Each team plays three matches in stage ndash I and two matches in

Stage ndash II No team plays against the same team more than once in the event No ties are

permitted in any of the matches The observations after the completion of Stage ndash I and

Stage ndash II are as given below

Stage-I

bull One team won all the three matches

bull Two teams lost all the matches

bull D lost to A but won against C and F

bull E lost to B but won against C and F

bull B lost at least one match

bull F did not play against the top team of Stage-I

Stage-II

bull The leader of Stage-I lost the next two matches

bull Of the two teams at the bottom after Stage-I one team won both matches while the

other lost both matches

bull One more team lost both matches in Stage-II

139 The two teams that defeated the leader of Stage-I are

A F amp D B E amp F C B amp D D E amp D

140 The only team(s) that won both matches in Stage-II is (are)

A B B E amp F C A E amp F D B E amp F

141 The teams that won exactly two matches in the event are

A A D amp F B D amp E C E amp F D D amp F

142 The team(s) with the most wins in the event is (are)

A A B A amp C C B amp E D E

SET 38

Two traders Chetan and Michael were involved in the buying and selling of MCS shares

over five trading days At the beginning of the first day the MCS share was priced at ₹100

while at the end of the fifth day it was priced at ₹110 At the end of each day the MCS share

price either went up by ₹10 or else it came down by ₹10 Both Chetan and Michael took

buying and selling decisions at the end of each trading day The beginning price of MCS share

on a given day was the same as the ending price of the previous day Chetan and Michael

started with the same number of shares and amount of cash and had enough of both

Below are some additional facts about how Chetan and Michael traded over the five trading

days

middot Each day if the price went up Chetan sold 10 shares of MCS at the closing price On the

other hand each day if the price went down he bought 10 shares at the closing price

middot If on any day the closing price was above ₹110 then Michael sold 10 shares of MCS

while if it was below ₹90 he bought 10 shares all at the closing price

143 If Chetan sold 10 shares of MCS on three consecutive days while Michael sold 10

shares only once during the five days what was the price of MCS at the end of day 3

A ₹ 90 B ₹100 C ₹110 D ₹120

144 If Chetan ended up with ₹1300 more cash than Michael at the end of day 5 what

was the price of MCS share at the end of day 4

A ₹90 B ₹100 C ₹110 D₹120

145 If Michael ended up with 20 more shares than Chetan at the end of day 5 what was

the price of the share at the end of day 3

A₹90 B ₹100 C ₹110 D ₹120

146 If Michael ended up with ₹100 less cash than Chetan at the end of day 5 what was

the difference in the number of shares possessed by Michael and Chetan (at the end of day

5)

A Michael had 10 less shares than Chetan

B Michael had 10 more shares than Chetan

C Chetan had 10 more shares than Michael

D Both had the same number of shares

SET 39

Bankatlal acted as a judge for the beauty contest There were four participants viz Ms

Andhra Pradesh Ms Uttar Pradesh Ms West Bengal and Ms Maharashtra Mrs Bankatlal

who was very anxious about the result asked him about it as soon as he was back home

Bankatlal just told that the one who was wearing the yellow saree won the contest When

Mrs Bankatlal pressed for further details he elaborated as follows

I All of them were sitting in a row

II All of them wore sarees of different colors viz Green Yellow White Red

III There was only one runner up and she was sitting beside Ms Maharashtra

IV The runner up was wearing the Green saree

V Ms West Bengal was not sitting at the ends and was not a runner up

VI The winner and the runner up are not sitting adjacent to each other

VII Ms Maharashtra was wearing white saree

VIII Ms Andhra Pradesh was not wearing the Green saree

IX Participants wearing Yellow saree and White saree were at the ends

147 Who wore the Red saree A Ms Andhra Pradesh B Ms West Bengal C Ms Uttar Pradesh D Ms Maharashtra

148 Ms West Bengal was sitting adjacent to A Ms Andhra Pradesh and Ms Maharashtra B Ms Uttar Pradesh and Ms Maharashta C Ms Andhra Pradesh and Ms Uttar Pradesh D Ms Uttar Pradesh only

149 Which saree was worn by Ms Andhra Pradesh A Yellow B Red C Green D White

150 Who was the runner up

A Ms Andhra Pradesh B Ms West Bengal

C Ms Uttar Pradesh D Ms Maharashta

SET 40

Ghosh Babu goes to a casino in Kay - Kay islands where he comes across an interesting game

of cards The visitor playing the game is called the player amp the clubman is called the dealer

The rules of the game are as follows First the player picks the card This card is called the

base card amp the number on the face of the card is called the base value of the card Ace

King Queen amp Jack all have base value of 10 The dealer pays the player same number of

rupees as the base value of the card Now the dealer picks a card amp This is called the top

card If topcard is of the same suite then the player pays the dealer double the amount of

base value If it is of the same colour but not the same suite then the player pays the dealer

the amount of a bse value If it is of different colour then the dealer pays the player the

amount of base value Ghosh Babu plays the game 4 times First time he draws 8 of club amp

the dealer draws jack of club Second time he draws 10 of hearts amp the dealer draws 2 of

spade Third time he draws 6 of diamond amp the dealer draws 1 of heart Finally Ghosh Babu

draws 8 of spade and the dealer draws ace of the spade

151 If Ghosh Babu should leave the game when his profit is maximum then what is that

profit

A 12 B 18 C 20 D None of these

152 If Ghosh Babu did not have to borrow any money from anyone then what is the

minimum amount that he could have started with

A 16 B 24 C 8 D None of these

153 If Ghosh Babu is left with 100 rupees now what is the amount that he had started

with

A 120 B 104 C 96 D None of these

SET 41

Twenty one participants from four continents (Africa Americas Australasia and Europe)

attended a United Nations conference Each participant was an expert in one of four fields

labour health population studies and refugee relocation The following five facts about the

participants are given

I The number of labour experts in the camp was exactly half the number of experts in each

of the three other categories

II Africa did not send any labour expert Otherwise every continent including Africa sent at

least one expert for each category

III None of the continents sent more than three experts in any category

IV If there had been one less Australasian expert then the America would have had twice

many experts as each of the other continents

V Mike and Alfanso are leading experts of population studies who attended the conference

They are from Australasia

154 Which of the following numbers cannot be determined from the information given

A Number of labour experts from the Americas

B Number of health experts from Europe

C Number of health experts from Australasia

D Number of experts in refugee relocation from Africa

155 Which of the following combinations is NOT possible

A 2 experts in population studies from the Americas and 2 health experts from Africa

attended the conference

B 2 experts in population studies from the Americas and 1 health expert from Africa

attended the conference

C 3 experts in refugee relocation from the Americas and 1 health expert from Africa

attended the conference

D Africa and America each had 1 expert in population studies attending the conference

156 If Ramos is the lone America expert in population studies which of the following is

NOT true about the numbers of experts in the conference from the four continents

A There is one expert in health from Africa

B There is one expert in refugee relocation from Africa

C There are two experts in health from the Americas

D There are three experts in refugee relocation from the Americas

157 Alex an American expert in refugee relocation was the first keynote speaker in the

conference What can be inferred about the number of American experts in refugee

relocation in the conference excluding Alex (i) At least one (ii) Atmost two

A Only (i) and not (ii) B Only (ii) and not (i)

C Both (i) and (ii) D Neither (i) nor (ii)

SET 42

Help Distress (HD) is an NGO involved in providing assistance to people suffering from

natural disasters Currently it has 37 volunteers They are involved in three projects

Tsunami Relief (TR) in Tamil Nadu Flood Relief (FR) in Maharashtra and Earthquake Relief

(ER) in Gujarat Each volunteer working with Help Distress has to be involved in at least one

relief work project

bull A Maximum number of volunteers are involved in the FR project Among them the

number of volunteers involved in FR project alone is equal to the volunteers having

additional involvement in the ER project

bull The number of volunteers involved in the ER project alone is double the number of

volunteers involved in all the three projects

bull 17 volunteers are involved in the TR project

bull The number of volunteers involved in the TR project alone is one less than the number of

volunteers involved in ER project alone

bull Ten volunteers involved in the TR project are also involved in at least one more project

158 Based on the information given above the minimum number of volunteers involved

in both FR and TR projects but not in the ER project is

A 1 B 3 C 4 D 5

159 Which of the following additional information would enable to find the exact

number of volunteers involved in various projects

A Twenty volunteers are involved in FR B Four volunteers are involved in all the three projects C Twenty three volunteers are involved in exactly one project D No need for any additional information

160 After some time the volunteers who were involved in all the three projects were

asked to withdraw from one project As a result one of the volunteers opted out of the TR

project and one opted out of the ER project while the remaining ones involved in all the

three projects opted out of the FR project Which of the following statements then

necessarily follows

A The lowest number of volunteers is now in TR project B More volunteers are now in FR project as compared to ER project C More volunteers are now in TR project as compared to ER project D None of the above

161 After the withdrawal of volunteers as indicated in Question 85 some new

volunteers joined the NGO Each one of them was allotted only one project in a manner such

that the number of volunteers working in one project alone for each of the three projects

became identical At that point it was also found that the number of volunteers involved in

FR and ER projects was the same as the number of volunteers involved in TR and ER projects

Which of the projects now has the highest number of volunteers

A ER B FR C TR D Cannot be determined

SET 43

Mathematicians are assigned a number called Erdoumls number (named after the famous

mathematician Paul Erdoumls) Only Paul Erdoumls himself has an Erdoumls number of zero Any

mathematician who has written a research paper with Erdoumls has an Erdoumls number of 1 For

other mathematicians the calculation of hisher Erdoumls number is illustrated below

Suppose that a mathematician X has co-authored papers with several other mathematicians

From among them mathematician Y has the smallest Erdoumls number Let the Erdoumls number

of Y be y Then X has an Erdoumls number of y + 1 Hence any mathematician with no co-

authorship chain connected to Erdoumls has an Erdoumls number of infinity In a seven day long

mini-conference organized in memory of Paul Erdoumls a close group of eight mathematicians

call them A B C D E F G and H discussed some research problems At the beginning of the

conference A was the only participant who had an infinite Erdoumls number Nobody had an

Erdoumls number less than that of F

bull On the third day of the conference F co-authored a paper jointly with A and C This

reduced the average Erdoumls number of the group of eight mathematicians to 3 The Erdoumls

numbers of B D E G and H remained unchanged with the writing of this paper Further no

other co-authorship among any three members would have reduced the average Erdoumls

number of the group of eight to as low as 3

bull At the end of the third day five members of this group had identical Erdoumls numbers while

the other three had Erdoumls numbers distinct from each other

bull On the fifth day E co-authored a paper with F which reduced the grouprsquos average Erdoumls

number by 05 The Erdoumls numbers of the remaining six were unchanged with the writing of

this paper

bull No other paper was written during the conference

162 The Erdoumls number of C at the end of the conference was

A 1 B 2 C 3 D 4

163 The Erdoumls number of E at the beginning of the conference was

A 5 B 6 C 7 D 8

164 How many participants had the same Erdoumls number at the beginning of the

conference

A 2 B 3 C 4 D 5

SET 44

K L M N P Q R S U and W are the only ten members in a department There is a proposal

to form a team from within the members of the department subject to the following

conditions

bull A team must include exactly one among P R and S

bull A team must include either M or Q but not both

bull If a team includes K then it must also include L and vice versa

bull If a team includes one among S U and W then it must also include the other two

bull L and N cannot be members of the same team

bull L and U cannot be members of the same team

The size of a team is defined as the number of members in the team

165 Who can be a member of a team of size 5

A K B L C M D P

166 Who cannot be a member of a team of size 3

A L B M C N D P

167 What could be the size of a team that includes K

A 2 or 3 B 2 or 4 C 3 or 4 D Only 4

168 In how many ways a team can be constituted so that the team includes N

A 2 B 3 C 4 D 6

SET 45

(i) There are three houses on each side of the road

(ii) These six houses are labeled as P Q R S T and U

(iii) The houses are of different colours namely Red Blue Green Orange Yellow and

White

(iv) The houses are of different heights

(v) T the tallest house is exactly opposite to the Red coloured house

(vi) The shortest house is exactly opposite to the Green coloured house

(vii) U the Orange coloured house is located between P and S

(viii) R the Yellow coloured house is exactly opposite to P

(ix) Q the Green coloured house is exactly opposite to U

(x) P the White coloured house is taller than R but shorter than S and Q

169 Which is the second tallest house

A P B S C Q D cannot be determined

170 What is the colour of the house diagonally opposite to the Yellow coloured house

A White B Blue C Green D Red

171 What is the colour of the tallest house

A Red B Blue C Green D Yellow

SET 46

A leading socialite decided to organise a dinner and invited a few of her friends Only the

host and the hostess were sitting at the opposite ends of a rectangular table with three

persons along each side The pre-requisite for the seating arrangement was that each person

must be seated such that atleast on one side it has a person of opposite sex Maqbool is

opposite Shobha who is not the hostess Ratan has a woman on his right and is sitting

opposite a woman Monisha is sitting to the hostessrsquos right next to Dhirubhai One person is

seated between Madhuri and Urmila who is not the hostess The men were Maqbool Ratan

Dhirubhai and Jackie while the women were Madhuri Urmila Shobha and Monisha

172 The eighth person present Jackie must be I the host II seated to Shobarsquos right III

seated opposite Urmila

A I only B III only C I and II only D II and III only

173 Which of the following persons is definitely not seated next to a person of the same

sex

A Maqbool B Madhuri C Jackie D Shobha

174 If Ratan would have exchanged seats with a person four places to his left which of

the following would have been true after the exchange

I No one was seated between two persons of the opposite sex (eg no man was seated

between two women)

II One side of the table consisted entirely of persons of the same sex

III Either the host or the hostess changed seats

A I only B II only C I and II only D II and III only

175 If each person is placed directly opposite his or her spouse which of the following

pairs must be married

A Ratan and Monisha B Madhuri and Dhirubhai

C Urmila and Jackie D Ratan and Madhuri

SET 47

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

87 If 35 of the BPL population of Nilokheri are children while 30 of the overall population of this village are children Then what percent of population above poverty line are children A 25 B 30 C 26 13 D 26 23

88 What is the difference between total population of Nilokheri and that of Gharaunda A 300 B 200 C 250 D 400

SET 24

Gaurav a sweet seller bought some quantity of three types of sweets Rasgulla Rasmalai and Kalakand in ratio of 6 10 9 Kalakand costed him a total of Rs 18900 at rate of 420 per kg By selling Kalakand at a discount of 5 he earned a profit of 13 221 On Rasmalai (which was marked Rs 500 per kg) he earned Rs 5 less profit per kg as compared to that on Kalakand by selling Rasmalai at 10 discount Gaurav spent a total of Rs 46400 on buying these sweets while he earned a total profit of Rs 5875 on selling all bought sweets Rasgullas were marked 40 above cost price per kg

89 What is the difference between the number of Accord cars sold by dealers D and E together

and the number of City cars sold by dealers B and F together A 3658 B 3712 C 4205 D 3252

90 If Gaurav gave an extra discount of 20 on Kalakand then his gain or loss was

A 9 11

21 profit B 8

11

21 loss C 10

11

23 loss D 9

11

21 loss

91 Find the total quantity of sweets bought by Gaurav A 135 kg B 126 kg C 125 kg D 120 kg

92 If 10kg of Rasmalai was wasted away due to some reason Find profit or loss by selling the remaining Rasmalai as per given condition A 10 loss B 10 gain C 12 loss D 15 loss SET 25 An organization consists of 3500 employees working in different departments viz HR Marketing IT Production and Accounts The ratio of male to female employees in the organisation is 3 2 8 of the males work in the HR department 22 of the female work in the account department The ratio of males to females working in the HR department is 3 5 One-seventh of the females work in the IT department 46 of the males work in the Production department The number of females is one-sixth of the males working in the same The remaining females work in the Marketing department The total number of employees working in the IT department is 375 22 of the males work in the Marketing department and remaining work in the Account department

93 The number of males working in the Account department forms approximately what per cent of the total number of males in the organisation A 6 B8 C10 D11

94 How many females work in Production department A 140 B200 C180 DNone of these

95 The total number of employees working in the Account department forms approximately what per cent of the total number of female employees in the organisation A28 B30 C29 D31

96 The ratio of the numbers of females working in IT department to the numbers of males working in the same department is A158 B12 C815 D21 SET 26

In the recently held Commonwealth Games a total number of 500 players participated in five different games viz Athletics Hockey Lawn Tennis Rugby and Badminton 15 of the total players participated in Badminton 25 of the total players participated in Hockey 6 of the total players participated in Lawn Tennis and 25 of the total players participated in Athletics The remaining players participated in Rugby One-fourth of the Hockey players are females 20 of the Badminton players are males Half of the players who participated in Lawn Tennis are males There are 55 female athletes No female player participated in Rugby

97 The number of female players who participated in Badminton is approximately what per cent of the total number of players who participated in Rugby A82 B80 C86 D76

98 What is the difference between the number of male players who participated in Hockey and the number of female players who participated in Lawn Tennis A125 B145 C130 D135

99 If due to certain reason Athletics was dropped and all the athletes left the tournament then what was the percentage of male players among the total players remaining in the tournament A4566 B4033 C3533 DNone of these

100 What is the ratio of the total number of male players participating in Badminton to the total number of female players participating in Hockey A353 B310 C510 D325 SET 27 The premises of an institute are to be renovated Only the floor is to be renovated either with marble or with wood All rooms halls and pantry are rectangular The area to be renovated comprises a hall measuring 33m by 39m The directorrsquos room measures 13m by 12m and the pantry measures 14m by 12m A record keeping-cum-server room measures 23m by 13m and the accounts room measures 12m by 23m The total area of the institute is 2500 square metres The cost of wooden flooring is Rs 170 per square metre and the cost of marble flooring is Rs 190 per square metre The accounts room the record keeping-cum-server room and the pantry are to be floored with marble The directorrsquos room and the hall are to be floored with wood

101 What is the ratio of the total cost of wooden flooring to the total cost of marble flooring A 1443 735 B 8177 4655 C 1443 4655 D 24531 14117

102 If four walls and ceiling of the room (the height of the room is 15 metres) are to be painted at the cost of Rs 190 per square metre how much will be the total cost of renovation of the directorrsquos room including the cost of flooring A 198660 B 178680 C 198880 D 22876

103 If the remaining area of the institute is to be carpeted at the rate of Rs 210 per square metre by how much will the cost of renovation of institute premises increase A 75000 B72840 C65940 D 75940

104 What is the percentage area of the institute that is not to be renovated A1644 B1356 C1455 D1256

SET 28 A total of 1650 students are studying in an engineering college in different departments The ratio of male students to female students in the college is 8679 The college had a total of 5 departments which are mechanical civil electrical Biotechnology and computer science Total 198 males study in the mechanical department 18 students study in the civil department in which male to female ratio is 54 In the biotechnology department 77 male students are studying and the number of female students in this department is 57th of the number of males The total number of male students in the civil department is equal to the number of female students in the mechanical department The number of males in biotechnology department is half of the number of total male students in computer science department In the electrical department the male to female ratio is 1419

105 The number of male students in electrical department is how much more than female students in mechanical

106 Female students in electrical department is what of the total number of females in the college (approximately) SET 29 During the period 1990-91 to 1994-95 the unit sales of Motorcycles witnessed a simple average growth rate of 45 and the unit price experienced a simple average growth rate of 41 In the year 1990-91 amp 1992-93 the selling price of motorcycle was Rs 50000 The unit selling price rose by Rs 2500 each in the years 1991-92 and 1994-95 Between 1990-91 and 1992-93 unit sales increased by 155 In 1992-93 approx 2888 units and in 1993-94 3000 units were sold In 1991-92 the sales increased by Rs 1281 crore and number of units sold increased by 125

107 The rupee sales of the motorcycles in 1990-91 is A Rs 180crore B Rs 125crore C Rs 135crore D Rs 100crore

108 How many motorcycles were sold in 1991-92 A 2500 B 2625 C 3050 D 4000

109 How many motorcycles were sold during the period 1990-91 to 1994-95 A 15025 B 14005 C 14076 D 15000

110 What is the selling price of a motorcycle in 1993-94 A Rs 50000 B Rs 52500 C Rs 57750 D Rs 60000

SET 30 Mlon huskthe space Y inventor took his team of scientist to newly found planetrdquoEuro Chandrdquo The team agreed on the condition that they will not do any research during their visit but will only do rest But Husk as per his nature observed various phenomenon on new planet including the gravitational pull He observed that a kg on earth is equivalent to 12 kg on Euro chand except kg on new planet is called Euroc Slen weighs 552 Euroc weighs heavier than all except Plen who weighs 108 Euroc more Olen the lightest weighs 252 Euroc less than Dlen Jlen weighs 48 Euroc less than Slen and 48 Euroc more than Dlen

111 What is the weight of Plen (in Kg) A55 B46 C17 D48

112 What is the weight of Olen (in Euronc ) A505 B246 C218 D204

113 Approximately how many times is the weight of Plen that of Dlen A145 B107 C218 D214

114 Weight of Dlen is what moreless than weight of Jlen

A111 B108 C95 D121 SET 31 In a MNC there are 5000 employees In that there are 6 departments ie Accounts department maintenance-admin department HR department production department RampD department marketing department In maintenance- admin department there is 15 of total number of employees In that 40 are females Total number of persons working in RampD department is equal to total number of males working in maintenance department Male to female ratio of RampD is 45In production department 1500 persons are working there are males only In HR department the number of persons working is 15 of number of persons working in production department where 80 are females The number of people working in Accounts department is 60 of production department in that number of females are 550 The number of female in marketing department 500

115 Total number of males in RampD department is what percentage of total number of males in the marketing department A50 B 375 C 33 13 D1007

116 What is the percentage increasedecrease in total number of females in HR department to the total number of males in maintenance ndash admin department A5334 increase B5334 decrease C4666 increase D4666decrease

117 What is the difference between total number of males in marketing department to total number of females in the accounts department A75 B50 C60 D90

118 What is the ratio of total number of males in HR department to the total number of females in maintenance ndash admin department A15 B27 C35 D47 SET 32

According to A the census has been taken by the Government for literacy rate in two villages

A and B total population is 6 00000 In which the ratio between total numbers of males to

total number of females is 53 and the ratio of total population in village A to village B is 1713

The ratio of number of males in village A to number of males in village B is 78Total Ratio of

literate to illiterate (in men) 41 Out of total women only 35 are literates Total percentage

of adults is 80 ( m f = 53) in total population and in remaining 10 are children all other

peoples are senior citizens

119 What is the difference between literate people to total number of senior citizens

A378750 B78750 C270750 D221250

120 Total number of literate males in village A (if 45 of literate males are in Village A) is what percentage of total number of illiterate Females (Approximately) A97 B92 C89 D85

121 What is the ratio of males in village B to Adult females in the survey A54 B45 C910 D109

122 What is the increasedecrease in percentage of total number children to the

difference between the populations of village A to village B

A85 decrease B 85 increase C 95 increase D95 decrease

SET 33 Acity consists of 2400 employees working in different IT companies viz TCS Infosys Wipro Tech Mahindra and Oracle The ratio of male to female employees in the city is 5 3 respectively Twelve per cent of the males work in the TCS Company Twenty four per cent of the females work in the Oracle Company The ratio of males to females working in the TCS company is 6 11 respectively One-ninth of the females work in the Wipro Company Forty two percent of the males work in the Tech Mahindra Company Number of females working in the Tech Mahindra Company is ten percent of the males working in the same The remaining females work in the Infosys Company The total number of employees working in the Wipro Company is 285 Twenty two percent of the males work in the Infosys Company and the remaining work in the Oracle Company

123 The number of females working in the Tech Mahindra Company TCS Company and Infosys company together forms what percent of the total number of females in the City A6488 B5765 C 4896 D7527

124 The total number of females working in the TCS and Infosys Company together

forms what percent of the total number of employees in Tech Mahindra Company

A7018 B8047 C 7526 D7518

125 What is the difference between the number of males in Infosys Company and

number of females to the Oracle Company together to the number of males in Tech

Mahindra Company and number of females to the TCS Company together

A434 B427 C404 D414

126 The number of males working in the Wipro Company and the number of females

working in the Infosys Company together forms approximately what percent of the total

number of males in the City (Rounded off the nearest percentage)

A50 B25 C21 D18

SET 34

A School consisting of a total of 1560 students has boys and girls in the ratio of 7 5

respectively All the students are enrolled for different country tours viz Russia Switzerland

and Japan One-fifth of the boys are enrolled for only Switzerland tour Twenty percent of

the girls are enrolled for only Japan tour Ten percent of the boys are enrolled for only Russia

tour Twenty four percent of the girls are enrolled for both Russia and Switzerland tour

together The number of girls enrolled for only Russia tour is two hundred percent of the

boys enrolled in the same One-thirteenth of the boys are enrolled for all the three tour

together The respective ratio of boys enrolled for Switzerland and Japan tour together to

the girls enrolled for the same is 2 1 respectively Ten percent of the girls are enrolled for

only Switzerland tour whereas eight percent of the girls are enrolled for both Switzerland

and Japan tour together The remaining girls are enrolled for all the three tour together The

number of boys enrolled for Russia and Switzerland tour together is fifty percent of the

number of girls enrolled for the same The remaining boys are enrolled for only Japan tour

127 What is the respective ratio of the number of girls enrolled for only Japan tour and

number of boys enrolled for Switzerland tour together to the number of boys enrolled for

the Japan tour and number of girls enrolled for Switzerland tour together

A7752 B7552 C5275 D5277

128 Number of girls enrolled for only Switzerland Russia and Japantour together is what

percent of the boys together enrolled for the same (Rounded off to two digits after

decimal)

A3757 B5729 C6193 D5522

129 What is the total number of students enrolled for all the three tour and number of

girls enrolled for Switzerland and Russia tour together and number of boys enrolled for

Switzerland and Japan tour together

A395 B2415 C385 D390

130 What is the sum of the total number of boys who are enrolled for Switzerland and

the total number of girls who are enrolled for same tour together

A872 B752 C802 D772

SET 35

A radio station surveyed 200 students to determine the types of music they liked There are

three types of music rock music folk music and classical music The survey revealed that 57

percent liked rock music 25 percent liked folk music and 205 percent liked classical music 14

students liked rock music and folk music 15 students liked rock music and classical music 6

students liked only classical music and folk music 90 of them liked only rock music

131 How many of them liked folk music but not rock music

A36 B41 C30 D44

132 How many of them liked any two types of music only

A15 B16 C19 D25

133 How many students did not like any of the three types

A35 B40 C30 D25

134 What is the ratio of who liked rock and classical music together to the ratio of who

liked only folk music

A51 B3110 C316 D125

SET 36

In a shopping mall there are three different varieties of dress materials Cotton Silk and

Chiffon There are 300 customers visited the Shop 50 of customers purchased Cotton

material 40 of customers purchased Chiffon material and 60 of customers purchased Silk

material The customers who purchased any of two dress materials are 90 20 of

customers who purchased Cotton also purchased other two materials The customers who

purchased only Silk material are 20 more than that of who purchased only Chiffon material

30 Customers are purchased only Silk and Chiffon material

135 How many of them purchased only one variety of dress material

A150 B180 C120 D160

136 How many of them purchased at least two types of dress materials

A90 B100 C120 D140

137 What is the percentage of the customers who purchased only Silk material to that of

the customers who purchased all types of dress material

A30043 B30553 C35523 D23333

138 How many of them did not purchase any of the three types of materials

A10 B15 C5 D None

SET 37

In a sports event six teams (A B C D E and F) are competing against each other Matches

are scheduled in two stages Each team plays three matches in stage ndash I and two matches in

Stage ndash II No team plays against the same team more than once in the event No ties are

permitted in any of the matches The observations after the completion of Stage ndash I and

Stage ndash II are as given below

Stage-I

bull One team won all the three matches

bull Two teams lost all the matches

bull D lost to A but won against C and F

bull E lost to B but won against C and F

bull B lost at least one match

bull F did not play against the top team of Stage-I

Stage-II

bull The leader of Stage-I lost the next two matches

bull Of the two teams at the bottom after Stage-I one team won both matches while the

other lost both matches

bull One more team lost both matches in Stage-II

139 The two teams that defeated the leader of Stage-I are

A F amp D B E amp F C B amp D D E amp D

140 The only team(s) that won both matches in Stage-II is (are)

A B B E amp F C A E amp F D B E amp F

141 The teams that won exactly two matches in the event are

A A D amp F B D amp E C E amp F D D amp F

142 The team(s) with the most wins in the event is (are)

A A B A amp C C B amp E D E

SET 38

Two traders Chetan and Michael were involved in the buying and selling of MCS shares

over five trading days At the beginning of the first day the MCS share was priced at ₹100

while at the end of the fifth day it was priced at ₹110 At the end of each day the MCS share

price either went up by ₹10 or else it came down by ₹10 Both Chetan and Michael took

buying and selling decisions at the end of each trading day The beginning price of MCS share

on a given day was the same as the ending price of the previous day Chetan and Michael

started with the same number of shares and amount of cash and had enough of both

Below are some additional facts about how Chetan and Michael traded over the five trading

days

middot Each day if the price went up Chetan sold 10 shares of MCS at the closing price On the

other hand each day if the price went down he bought 10 shares at the closing price

middot If on any day the closing price was above ₹110 then Michael sold 10 shares of MCS

while if it was below ₹90 he bought 10 shares all at the closing price

143 If Chetan sold 10 shares of MCS on three consecutive days while Michael sold 10

shares only once during the five days what was the price of MCS at the end of day 3

A ₹ 90 B ₹100 C ₹110 D ₹120

144 If Chetan ended up with ₹1300 more cash than Michael at the end of day 5 what

was the price of MCS share at the end of day 4

A ₹90 B ₹100 C ₹110 D₹120

145 If Michael ended up with 20 more shares than Chetan at the end of day 5 what was

the price of the share at the end of day 3

A₹90 B ₹100 C ₹110 D ₹120

146 If Michael ended up with ₹100 less cash than Chetan at the end of day 5 what was

the difference in the number of shares possessed by Michael and Chetan (at the end of day

5)

A Michael had 10 less shares than Chetan

B Michael had 10 more shares than Chetan

C Chetan had 10 more shares than Michael

D Both had the same number of shares

SET 39

Bankatlal acted as a judge for the beauty contest There were four participants viz Ms

Andhra Pradesh Ms Uttar Pradesh Ms West Bengal and Ms Maharashtra Mrs Bankatlal

who was very anxious about the result asked him about it as soon as he was back home

Bankatlal just told that the one who was wearing the yellow saree won the contest When

Mrs Bankatlal pressed for further details he elaborated as follows

I All of them were sitting in a row

II All of them wore sarees of different colors viz Green Yellow White Red

III There was only one runner up and she was sitting beside Ms Maharashtra

IV The runner up was wearing the Green saree

V Ms West Bengal was not sitting at the ends and was not a runner up

VI The winner and the runner up are not sitting adjacent to each other

VII Ms Maharashtra was wearing white saree

VIII Ms Andhra Pradesh was not wearing the Green saree

IX Participants wearing Yellow saree and White saree were at the ends

147 Who wore the Red saree A Ms Andhra Pradesh B Ms West Bengal C Ms Uttar Pradesh D Ms Maharashtra

148 Ms West Bengal was sitting adjacent to A Ms Andhra Pradesh and Ms Maharashtra B Ms Uttar Pradesh and Ms Maharashta C Ms Andhra Pradesh and Ms Uttar Pradesh D Ms Uttar Pradesh only

149 Which saree was worn by Ms Andhra Pradesh A Yellow B Red C Green D White

150 Who was the runner up

A Ms Andhra Pradesh B Ms West Bengal

C Ms Uttar Pradesh D Ms Maharashta

SET 40

Ghosh Babu goes to a casino in Kay - Kay islands where he comes across an interesting game

of cards The visitor playing the game is called the player amp the clubman is called the dealer

The rules of the game are as follows First the player picks the card This card is called the

base card amp the number on the face of the card is called the base value of the card Ace

King Queen amp Jack all have base value of 10 The dealer pays the player same number of

rupees as the base value of the card Now the dealer picks a card amp This is called the top

card If topcard is of the same suite then the player pays the dealer double the amount of

base value If it is of the same colour but not the same suite then the player pays the dealer

the amount of a bse value If it is of different colour then the dealer pays the player the

amount of base value Ghosh Babu plays the game 4 times First time he draws 8 of club amp

the dealer draws jack of club Second time he draws 10 of hearts amp the dealer draws 2 of

spade Third time he draws 6 of diamond amp the dealer draws 1 of heart Finally Ghosh Babu

draws 8 of spade and the dealer draws ace of the spade

151 If Ghosh Babu should leave the game when his profit is maximum then what is that

profit

A 12 B 18 C 20 D None of these

152 If Ghosh Babu did not have to borrow any money from anyone then what is the

minimum amount that he could have started with

A 16 B 24 C 8 D None of these

153 If Ghosh Babu is left with 100 rupees now what is the amount that he had started

with

A 120 B 104 C 96 D None of these

SET 41

Twenty one participants from four continents (Africa Americas Australasia and Europe)

attended a United Nations conference Each participant was an expert in one of four fields

labour health population studies and refugee relocation The following five facts about the

participants are given

I The number of labour experts in the camp was exactly half the number of experts in each

of the three other categories

II Africa did not send any labour expert Otherwise every continent including Africa sent at

least one expert for each category

III None of the continents sent more than three experts in any category

IV If there had been one less Australasian expert then the America would have had twice

many experts as each of the other continents

V Mike and Alfanso are leading experts of population studies who attended the conference

They are from Australasia

154 Which of the following numbers cannot be determined from the information given

A Number of labour experts from the Americas

B Number of health experts from Europe

C Number of health experts from Australasia

D Number of experts in refugee relocation from Africa

155 Which of the following combinations is NOT possible

A 2 experts in population studies from the Americas and 2 health experts from Africa

attended the conference

B 2 experts in population studies from the Americas and 1 health expert from Africa

attended the conference

C 3 experts in refugee relocation from the Americas and 1 health expert from Africa

attended the conference

D Africa and America each had 1 expert in population studies attending the conference

156 If Ramos is the lone America expert in population studies which of the following is

NOT true about the numbers of experts in the conference from the four continents

A There is one expert in health from Africa

B There is one expert in refugee relocation from Africa

C There are two experts in health from the Americas

D There are three experts in refugee relocation from the Americas

157 Alex an American expert in refugee relocation was the first keynote speaker in the

conference What can be inferred about the number of American experts in refugee

relocation in the conference excluding Alex (i) At least one (ii) Atmost two

A Only (i) and not (ii) B Only (ii) and not (i)

C Both (i) and (ii) D Neither (i) nor (ii)

SET 42

Help Distress (HD) is an NGO involved in providing assistance to people suffering from

natural disasters Currently it has 37 volunteers They are involved in three projects

Tsunami Relief (TR) in Tamil Nadu Flood Relief (FR) in Maharashtra and Earthquake Relief

(ER) in Gujarat Each volunteer working with Help Distress has to be involved in at least one

relief work project

bull A Maximum number of volunteers are involved in the FR project Among them the

number of volunteers involved in FR project alone is equal to the volunteers having

additional involvement in the ER project

bull The number of volunteers involved in the ER project alone is double the number of

volunteers involved in all the three projects

bull 17 volunteers are involved in the TR project

bull The number of volunteers involved in the TR project alone is one less than the number of

volunteers involved in ER project alone

bull Ten volunteers involved in the TR project are also involved in at least one more project

158 Based on the information given above the minimum number of volunteers involved

in both FR and TR projects but not in the ER project is

A 1 B 3 C 4 D 5

159 Which of the following additional information would enable to find the exact

number of volunteers involved in various projects

A Twenty volunteers are involved in FR B Four volunteers are involved in all the three projects C Twenty three volunteers are involved in exactly one project D No need for any additional information

160 After some time the volunteers who were involved in all the three projects were

asked to withdraw from one project As a result one of the volunteers opted out of the TR

project and one opted out of the ER project while the remaining ones involved in all the

three projects opted out of the FR project Which of the following statements then

necessarily follows

A The lowest number of volunteers is now in TR project B More volunteers are now in FR project as compared to ER project C More volunteers are now in TR project as compared to ER project D None of the above

161 After the withdrawal of volunteers as indicated in Question 85 some new

volunteers joined the NGO Each one of them was allotted only one project in a manner such

that the number of volunteers working in one project alone for each of the three projects

became identical At that point it was also found that the number of volunteers involved in

FR and ER projects was the same as the number of volunteers involved in TR and ER projects

Which of the projects now has the highest number of volunteers

A ER B FR C TR D Cannot be determined

SET 43

Mathematicians are assigned a number called Erdoumls number (named after the famous

mathematician Paul Erdoumls) Only Paul Erdoumls himself has an Erdoumls number of zero Any

mathematician who has written a research paper with Erdoumls has an Erdoumls number of 1 For

other mathematicians the calculation of hisher Erdoumls number is illustrated below

Suppose that a mathematician X has co-authored papers with several other mathematicians

From among them mathematician Y has the smallest Erdoumls number Let the Erdoumls number

of Y be y Then X has an Erdoumls number of y + 1 Hence any mathematician with no co-

authorship chain connected to Erdoumls has an Erdoumls number of infinity In a seven day long

mini-conference organized in memory of Paul Erdoumls a close group of eight mathematicians

call them A B C D E F G and H discussed some research problems At the beginning of the

conference A was the only participant who had an infinite Erdoumls number Nobody had an

Erdoumls number less than that of F

bull On the third day of the conference F co-authored a paper jointly with A and C This

reduced the average Erdoumls number of the group of eight mathematicians to 3 The Erdoumls

numbers of B D E G and H remained unchanged with the writing of this paper Further no

other co-authorship among any three members would have reduced the average Erdoumls

number of the group of eight to as low as 3

bull At the end of the third day five members of this group had identical Erdoumls numbers while

the other three had Erdoumls numbers distinct from each other

bull On the fifth day E co-authored a paper with F which reduced the grouprsquos average Erdoumls

number by 05 The Erdoumls numbers of the remaining six were unchanged with the writing of

this paper

bull No other paper was written during the conference

162 The Erdoumls number of C at the end of the conference was

A 1 B 2 C 3 D 4

163 The Erdoumls number of E at the beginning of the conference was

A 5 B 6 C 7 D 8

164 How many participants had the same Erdoumls number at the beginning of the

conference

A 2 B 3 C 4 D 5

SET 44

K L M N P Q R S U and W are the only ten members in a department There is a proposal

to form a team from within the members of the department subject to the following

conditions

bull A team must include exactly one among P R and S

bull A team must include either M or Q but not both

bull If a team includes K then it must also include L and vice versa

bull If a team includes one among S U and W then it must also include the other two

bull L and N cannot be members of the same team

bull L and U cannot be members of the same team

The size of a team is defined as the number of members in the team

165 Who can be a member of a team of size 5

A K B L C M D P

166 Who cannot be a member of a team of size 3

A L B M C N D P

167 What could be the size of a team that includes K

A 2 or 3 B 2 or 4 C 3 or 4 D Only 4

168 In how many ways a team can be constituted so that the team includes N

A 2 B 3 C 4 D 6

SET 45

(i) There are three houses on each side of the road

(ii) These six houses are labeled as P Q R S T and U

(iii) The houses are of different colours namely Red Blue Green Orange Yellow and

White

(iv) The houses are of different heights

(v) T the tallest house is exactly opposite to the Red coloured house

(vi) The shortest house is exactly opposite to the Green coloured house

(vii) U the Orange coloured house is located between P and S

(viii) R the Yellow coloured house is exactly opposite to P

(ix) Q the Green coloured house is exactly opposite to U

(x) P the White coloured house is taller than R but shorter than S and Q

169 Which is the second tallest house

A P B S C Q D cannot be determined

170 What is the colour of the house diagonally opposite to the Yellow coloured house

A White B Blue C Green D Red

171 What is the colour of the tallest house

A Red B Blue C Green D Yellow

SET 46

A leading socialite decided to organise a dinner and invited a few of her friends Only the

host and the hostess were sitting at the opposite ends of a rectangular table with three

persons along each side The pre-requisite for the seating arrangement was that each person

must be seated such that atleast on one side it has a person of opposite sex Maqbool is

opposite Shobha who is not the hostess Ratan has a woman on his right and is sitting

opposite a woman Monisha is sitting to the hostessrsquos right next to Dhirubhai One person is

seated between Madhuri and Urmila who is not the hostess The men were Maqbool Ratan

Dhirubhai and Jackie while the women were Madhuri Urmila Shobha and Monisha

172 The eighth person present Jackie must be I the host II seated to Shobarsquos right III

seated opposite Urmila

A I only B III only C I and II only D II and III only

173 Which of the following persons is definitely not seated next to a person of the same

sex

A Maqbool B Madhuri C Jackie D Shobha

174 If Ratan would have exchanged seats with a person four places to his left which of

the following would have been true after the exchange

I No one was seated between two persons of the opposite sex (eg no man was seated

between two women)

II One side of the table consisted entirely of persons of the same sex

III Either the host or the hostess changed seats

A I only B II only C I and II only D II and III only

175 If each person is placed directly opposite his or her spouse which of the following

pairs must be married

A Ratan and Monisha B Madhuri and Dhirubhai

C Urmila and Jackie D Ratan and Madhuri

SET 47

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

In the recently held Commonwealth Games a total number of 500 players participated in five different games viz Athletics Hockey Lawn Tennis Rugby and Badminton 15 of the total players participated in Badminton 25 of the total players participated in Hockey 6 of the total players participated in Lawn Tennis and 25 of the total players participated in Athletics The remaining players participated in Rugby One-fourth of the Hockey players are females 20 of the Badminton players are males Half of the players who participated in Lawn Tennis are males There are 55 female athletes No female player participated in Rugby

97 The number of female players who participated in Badminton is approximately what per cent of the total number of players who participated in Rugby A82 B80 C86 D76

98 What is the difference between the number of male players who participated in Hockey and the number of female players who participated in Lawn Tennis A125 B145 C130 D135

99 If due to certain reason Athletics was dropped and all the athletes left the tournament then what was the percentage of male players among the total players remaining in the tournament A4566 B4033 C3533 DNone of these

100 What is the ratio of the total number of male players participating in Badminton to the total number of female players participating in Hockey A353 B310 C510 D325 SET 27 The premises of an institute are to be renovated Only the floor is to be renovated either with marble or with wood All rooms halls and pantry are rectangular The area to be renovated comprises a hall measuring 33m by 39m The directorrsquos room measures 13m by 12m and the pantry measures 14m by 12m A record keeping-cum-server room measures 23m by 13m and the accounts room measures 12m by 23m The total area of the institute is 2500 square metres The cost of wooden flooring is Rs 170 per square metre and the cost of marble flooring is Rs 190 per square metre The accounts room the record keeping-cum-server room and the pantry are to be floored with marble The directorrsquos room and the hall are to be floored with wood

101 What is the ratio of the total cost of wooden flooring to the total cost of marble flooring A 1443 735 B 8177 4655 C 1443 4655 D 24531 14117

102 If four walls and ceiling of the room (the height of the room is 15 metres) are to be painted at the cost of Rs 190 per square metre how much will be the total cost of renovation of the directorrsquos room including the cost of flooring A 198660 B 178680 C 198880 D 22876

103 If the remaining area of the institute is to be carpeted at the rate of Rs 210 per square metre by how much will the cost of renovation of institute premises increase A 75000 B72840 C65940 D 75940

104 What is the percentage area of the institute that is not to be renovated A1644 B1356 C1455 D1256

SET 28 A total of 1650 students are studying in an engineering college in different departments The ratio of male students to female students in the college is 8679 The college had a total of 5 departments which are mechanical civil electrical Biotechnology and computer science Total 198 males study in the mechanical department 18 students study in the civil department in which male to female ratio is 54 In the biotechnology department 77 male students are studying and the number of female students in this department is 57th of the number of males The total number of male students in the civil department is equal to the number of female students in the mechanical department The number of males in biotechnology department is half of the number of total male students in computer science department In the electrical department the male to female ratio is 1419

105 The number of male students in electrical department is how much more than female students in mechanical

106 Female students in electrical department is what of the total number of females in the college (approximately) SET 29 During the period 1990-91 to 1994-95 the unit sales of Motorcycles witnessed a simple average growth rate of 45 and the unit price experienced a simple average growth rate of 41 In the year 1990-91 amp 1992-93 the selling price of motorcycle was Rs 50000 The unit selling price rose by Rs 2500 each in the years 1991-92 and 1994-95 Between 1990-91 and 1992-93 unit sales increased by 155 In 1992-93 approx 2888 units and in 1993-94 3000 units were sold In 1991-92 the sales increased by Rs 1281 crore and number of units sold increased by 125

107 The rupee sales of the motorcycles in 1990-91 is A Rs 180crore B Rs 125crore C Rs 135crore D Rs 100crore

108 How many motorcycles were sold in 1991-92 A 2500 B 2625 C 3050 D 4000

109 How many motorcycles were sold during the period 1990-91 to 1994-95 A 15025 B 14005 C 14076 D 15000

110 What is the selling price of a motorcycle in 1993-94 A Rs 50000 B Rs 52500 C Rs 57750 D Rs 60000

SET 30 Mlon huskthe space Y inventor took his team of scientist to newly found planetrdquoEuro Chandrdquo The team agreed on the condition that they will not do any research during their visit but will only do rest But Husk as per his nature observed various phenomenon on new planet including the gravitational pull He observed that a kg on earth is equivalent to 12 kg on Euro chand except kg on new planet is called Euroc Slen weighs 552 Euroc weighs heavier than all except Plen who weighs 108 Euroc more Olen the lightest weighs 252 Euroc less than Dlen Jlen weighs 48 Euroc less than Slen and 48 Euroc more than Dlen

111 What is the weight of Plen (in Kg) A55 B46 C17 D48

112 What is the weight of Olen (in Euronc ) A505 B246 C218 D204

113 Approximately how many times is the weight of Plen that of Dlen A145 B107 C218 D214

114 Weight of Dlen is what moreless than weight of Jlen

A111 B108 C95 D121 SET 31 In a MNC there are 5000 employees In that there are 6 departments ie Accounts department maintenance-admin department HR department production department RampD department marketing department In maintenance- admin department there is 15 of total number of employees In that 40 are females Total number of persons working in RampD department is equal to total number of males working in maintenance department Male to female ratio of RampD is 45In production department 1500 persons are working there are males only In HR department the number of persons working is 15 of number of persons working in production department where 80 are females The number of people working in Accounts department is 60 of production department in that number of females are 550 The number of female in marketing department 500

115 Total number of males in RampD department is what percentage of total number of males in the marketing department A50 B 375 C 33 13 D1007

116 What is the percentage increasedecrease in total number of females in HR department to the total number of males in maintenance ndash admin department A5334 increase B5334 decrease C4666 increase D4666decrease

117 What is the difference between total number of males in marketing department to total number of females in the accounts department A75 B50 C60 D90

118 What is the ratio of total number of males in HR department to the total number of females in maintenance ndash admin department A15 B27 C35 D47 SET 32

According to A the census has been taken by the Government for literacy rate in two villages

A and B total population is 6 00000 In which the ratio between total numbers of males to

total number of females is 53 and the ratio of total population in village A to village B is 1713

The ratio of number of males in village A to number of males in village B is 78Total Ratio of

literate to illiterate (in men) 41 Out of total women only 35 are literates Total percentage

of adults is 80 ( m f = 53) in total population and in remaining 10 are children all other

peoples are senior citizens

119 What is the difference between literate people to total number of senior citizens

A378750 B78750 C270750 D221250

120 Total number of literate males in village A (if 45 of literate males are in Village A) is what percentage of total number of illiterate Females (Approximately) A97 B92 C89 D85

121 What is the ratio of males in village B to Adult females in the survey A54 B45 C910 D109

122 What is the increasedecrease in percentage of total number children to the

difference between the populations of village A to village B

A85 decrease B 85 increase C 95 increase D95 decrease

SET 33 Acity consists of 2400 employees working in different IT companies viz TCS Infosys Wipro Tech Mahindra and Oracle The ratio of male to female employees in the city is 5 3 respectively Twelve per cent of the males work in the TCS Company Twenty four per cent of the females work in the Oracle Company The ratio of males to females working in the TCS company is 6 11 respectively One-ninth of the females work in the Wipro Company Forty two percent of the males work in the Tech Mahindra Company Number of females working in the Tech Mahindra Company is ten percent of the males working in the same The remaining females work in the Infosys Company The total number of employees working in the Wipro Company is 285 Twenty two percent of the males work in the Infosys Company and the remaining work in the Oracle Company

123 The number of females working in the Tech Mahindra Company TCS Company and Infosys company together forms what percent of the total number of females in the City A6488 B5765 C 4896 D7527

124 The total number of females working in the TCS and Infosys Company together

forms what percent of the total number of employees in Tech Mahindra Company

A7018 B8047 C 7526 D7518

125 What is the difference between the number of males in Infosys Company and

number of females to the Oracle Company together to the number of males in Tech

Mahindra Company and number of females to the TCS Company together

A434 B427 C404 D414

126 The number of males working in the Wipro Company and the number of females

working in the Infosys Company together forms approximately what percent of the total

number of males in the City (Rounded off the nearest percentage)

A50 B25 C21 D18

SET 34

A School consisting of a total of 1560 students has boys and girls in the ratio of 7 5

respectively All the students are enrolled for different country tours viz Russia Switzerland

and Japan One-fifth of the boys are enrolled for only Switzerland tour Twenty percent of

the girls are enrolled for only Japan tour Ten percent of the boys are enrolled for only Russia

tour Twenty four percent of the girls are enrolled for both Russia and Switzerland tour

together The number of girls enrolled for only Russia tour is two hundred percent of the

boys enrolled in the same One-thirteenth of the boys are enrolled for all the three tour

together The respective ratio of boys enrolled for Switzerland and Japan tour together to

the girls enrolled for the same is 2 1 respectively Ten percent of the girls are enrolled for

only Switzerland tour whereas eight percent of the girls are enrolled for both Switzerland

and Japan tour together The remaining girls are enrolled for all the three tour together The

number of boys enrolled for Russia and Switzerland tour together is fifty percent of the

number of girls enrolled for the same The remaining boys are enrolled for only Japan tour

127 What is the respective ratio of the number of girls enrolled for only Japan tour and

number of boys enrolled for Switzerland tour together to the number of boys enrolled for

the Japan tour and number of girls enrolled for Switzerland tour together

A7752 B7552 C5275 D5277

128 Number of girls enrolled for only Switzerland Russia and Japantour together is what

percent of the boys together enrolled for the same (Rounded off to two digits after

decimal)

A3757 B5729 C6193 D5522

129 What is the total number of students enrolled for all the three tour and number of

girls enrolled for Switzerland and Russia tour together and number of boys enrolled for

Switzerland and Japan tour together

A395 B2415 C385 D390

130 What is the sum of the total number of boys who are enrolled for Switzerland and

the total number of girls who are enrolled for same tour together

A872 B752 C802 D772

SET 35

A radio station surveyed 200 students to determine the types of music they liked There are

three types of music rock music folk music and classical music The survey revealed that 57

percent liked rock music 25 percent liked folk music and 205 percent liked classical music 14

students liked rock music and folk music 15 students liked rock music and classical music 6

students liked only classical music and folk music 90 of them liked only rock music

131 How many of them liked folk music but not rock music

A36 B41 C30 D44

132 How many of them liked any two types of music only

A15 B16 C19 D25

133 How many students did not like any of the three types

A35 B40 C30 D25

134 What is the ratio of who liked rock and classical music together to the ratio of who

liked only folk music

A51 B3110 C316 D125

SET 36

In a shopping mall there are three different varieties of dress materials Cotton Silk and

Chiffon There are 300 customers visited the Shop 50 of customers purchased Cotton

material 40 of customers purchased Chiffon material and 60 of customers purchased Silk

material The customers who purchased any of two dress materials are 90 20 of

customers who purchased Cotton also purchased other two materials The customers who

purchased only Silk material are 20 more than that of who purchased only Chiffon material

30 Customers are purchased only Silk and Chiffon material

135 How many of them purchased only one variety of dress material

A150 B180 C120 D160

136 How many of them purchased at least two types of dress materials

A90 B100 C120 D140

137 What is the percentage of the customers who purchased only Silk material to that of

the customers who purchased all types of dress material

A30043 B30553 C35523 D23333

138 How many of them did not purchase any of the three types of materials

A10 B15 C5 D None

SET 37

In a sports event six teams (A B C D E and F) are competing against each other Matches

are scheduled in two stages Each team plays three matches in stage ndash I and two matches in

Stage ndash II No team plays against the same team more than once in the event No ties are

permitted in any of the matches The observations after the completion of Stage ndash I and

Stage ndash II are as given below

Stage-I

bull One team won all the three matches

bull Two teams lost all the matches

bull D lost to A but won against C and F

bull E lost to B but won against C and F

bull B lost at least one match

bull F did not play against the top team of Stage-I

Stage-II

bull The leader of Stage-I lost the next two matches

bull Of the two teams at the bottom after Stage-I one team won both matches while the

other lost both matches

bull One more team lost both matches in Stage-II

139 The two teams that defeated the leader of Stage-I are

A F amp D B E amp F C B amp D D E amp D

140 The only team(s) that won both matches in Stage-II is (are)

A B B E amp F C A E amp F D B E amp F

141 The teams that won exactly two matches in the event are

A A D amp F B D amp E C E amp F D D amp F

142 The team(s) with the most wins in the event is (are)

A A B A amp C C B amp E D E

SET 38

Two traders Chetan and Michael were involved in the buying and selling of MCS shares

over five trading days At the beginning of the first day the MCS share was priced at ₹100

while at the end of the fifth day it was priced at ₹110 At the end of each day the MCS share

price either went up by ₹10 or else it came down by ₹10 Both Chetan and Michael took

buying and selling decisions at the end of each trading day The beginning price of MCS share

on a given day was the same as the ending price of the previous day Chetan and Michael

started with the same number of shares and amount of cash and had enough of both

Below are some additional facts about how Chetan and Michael traded over the five trading

days

middot Each day if the price went up Chetan sold 10 shares of MCS at the closing price On the

other hand each day if the price went down he bought 10 shares at the closing price

middot If on any day the closing price was above ₹110 then Michael sold 10 shares of MCS

while if it was below ₹90 he bought 10 shares all at the closing price

143 If Chetan sold 10 shares of MCS on three consecutive days while Michael sold 10

shares only once during the five days what was the price of MCS at the end of day 3

A ₹ 90 B ₹100 C ₹110 D ₹120

144 If Chetan ended up with ₹1300 more cash than Michael at the end of day 5 what

was the price of MCS share at the end of day 4

A ₹90 B ₹100 C ₹110 D₹120

145 If Michael ended up with 20 more shares than Chetan at the end of day 5 what was

the price of the share at the end of day 3

A₹90 B ₹100 C ₹110 D ₹120

146 If Michael ended up with ₹100 less cash than Chetan at the end of day 5 what was

the difference in the number of shares possessed by Michael and Chetan (at the end of day

5)

A Michael had 10 less shares than Chetan

B Michael had 10 more shares than Chetan

C Chetan had 10 more shares than Michael

D Both had the same number of shares

SET 39

Bankatlal acted as a judge for the beauty contest There were four participants viz Ms

Andhra Pradesh Ms Uttar Pradesh Ms West Bengal and Ms Maharashtra Mrs Bankatlal

who was very anxious about the result asked him about it as soon as he was back home

Bankatlal just told that the one who was wearing the yellow saree won the contest When

Mrs Bankatlal pressed for further details he elaborated as follows

I All of them were sitting in a row

II All of them wore sarees of different colors viz Green Yellow White Red

III There was only one runner up and she was sitting beside Ms Maharashtra

IV The runner up was wearing the Green saree

V Ms West Bengal was not sitting at the ends and was not a runner up

VI The winner and the runner up are not sitting adjacent to each other

VII Ms Maharashtra was wearing white saree

VIII Ms Andhra Pradesh was not wearing the Green saree

IX Participants wearing Yellow saree and White saree were at the ends

147 Who wore the Red saree A Ms Andhra Pradesh B Ms West Bengal C Ms Uttar Pradesh D Ms Maharashtra

148 Ms West Bengal was sitting adjacent to A Ms Andhra Pradesh and Ms Maharashtra B Ms Uttar Pradesh and Ms Maharashta C Ms Andhra Pradesh and Ms Uttar Pradesh D Ms Uttar Pradesh only

149 Which saree was worn by Ms Andhra Pradesh A Yellow B Red C Green D White

150 Who was the runner up

A Ms Andhra Pradesh B Ms West Bengal

C Ms Uttar Pradesh D Ms Maharashta

SET 40

Ghosh Babu goes to a casino in Kay - Kay islands where he comes across an interesting game

of cards The visitor playing the game is called the player amp the clubman is called the dealer

The rules of the game are as follows First the player picks the card This card is called the

base card amp the number on the face of the card is called the base value of the card Ace

King Queen amp Jack all have base value of 10 The dealer pays the player same number of

rupees as the base value of the card Now the dealer picks a card amp This is called the top

card If topcard is of the same suite then the player pays the dealer double the amount of

base value If it is of the same colour but not the same suite then the player pays the dealer

the amount of a bse value If it is of different colour then the dealer pays the player the

amount of base value Ghosh Babu plays the game 4 times First time he draws 8 of club amp

the dealer draws jack of club Second time he draws 10 of hearts amp the dealer draws 2 of

spade Third time he draws 6 of diamond amp the dealer draws 1 of heart Finally Ghosh Babu

draws 8 of spade and the dealer draws ace of the spade

151 If Ghosh Babu should leave the game when his profit is maximum then what is that

profit

A 12 B 18 C 20 D None of these

152 If Ghosh Babu did not have to borrow any money from anyone then what is the

minimum amount that he could have started with

A 16 B 24 C 8 D None of these

153 If Ghosh Babu is left with 100 rupees now what is the amount that he had started

with

A 120 B 104 C 96 D None of these

SET 41

Twenty one participants from four continents (Africa Americas Australasia and Europe)

attended a United Nations conference Each participant was an expert in one of four fields

labour health population studies and refugee relocation The following five facts about the

participants are given

I The number of labour experts in the camp was exactly half the number of experts in each

of the three other categories

II Africa did not send any labour expert Otherwise every continent including Africa sent at

least one expert for each category

III None of the continents sent more than three experts in any category

IV If there had been one less Australasian expert then the America would have had twice

many experts as each of the other continents

V Mike and Alfanso are leading experts of population studies who attended the conference

They are from Australasia

154 Which of the following numbers cannot be determined from the information given

A Number of labour experts from the Americas

B Number of health experts from Europe

C Number of health experts from Australasia

D Number of experts in refugee relocation from Africa

155 Which of the following combinations is NOT possible

A 2 experts in population studies from the Americas and 2 health experts from Africa

attended the conference

B 2 experts in population studies from the Americas and 1 health expert from Africa

attended the conference

C 3 experts in refugee relocation from the Americas and 1 health expert from Africa

attended the conference

D Africa and America each had 1 expert in population studies attending the conference

156 If Ramos is the lone America expert in population studies which of the following is

NOT true about the numbers of experts in the conference from the four continents

A There is one expert in health from Africa

B There is one expert in refugee relocation from Africa

C There are two experts in health from the Americas

D There are three experts in refugee relocation from the Americas

157 Alex an American expert in refugee relocation was the first keynote speaker in the

conference What can be inferred about the number of American experts in refugee

relocation in the conference excluding Alex (i) At least one (ii) Atmost two

A Only (i) and not (ii) B Only (ii) and not (i)

C Both (i) and (ii) D Neither (i) nor (ii)

SET 42

Help Distress (HD) is an NGO involved in providing assistance to people suffering from

natural disasters Currently it has 37 volunteers They are involved in three projects

Tsunami Relief (TR) in Tamil Nadu Flood Relief (FR) in Maharashtra and Earthquake Relief

(ER) in Gujarat Each volunteer working with Help Distress has to be involved in at least one

relief work project

bull A Maximum number of volunteers are involved in the FR project Among them the

number of volunteers involved in FR project alone is equal to the volunteers having

additional involvement in the ER project

bull The number of volunteers involved in the ER project alone is double the number of

volunteers involved in all the three projects

bull 17 volunteers are involved in the TR project

bull The number of volunteers involved in the TR project alone is one less than the number of

volunteers involved in ER project alone

bull Ten volunteers involved in the TR project are also involved in at least one more project

158 Based on the information given above the minimum number of volunteers involved

in both FR and TR projects but not in the ER project is

A 1 B 3 C 4 D 5

159 Which of the following additional information would enable to find the exact

number of volunteers involved in various projects

A Twenty volunteers are involved in FR B Four volunteers are involved in all the three projects C Twenty three volunteers are involved in exactly one project D No need for any additional information

160 After some time the volunteers who were involved in all the three projects were

asked to withdraw from one project As a result one of the volunteers opted out of the TR

project and one opted out of the ER project while the remaining ones involved in all the

three projects opted out of the FR project Which of the following statements then

necessarily follows

A The lowest number of volunteers is now in TR project B More volunteers are now in FR project as compared to ER project C More volunteers are now in TR project as compared to ER project D None of the above

161 After the withdrawal of volunteers as indicated in Question 85 some new

volunteers joined the NGO Each one of them was allotted only one project in a manner such

that the number of volunteers working in one project alone for each of the three projects

became identical At that point it was also found that the number of volunteers involved in

FR and ER projects was the same as the number of volunteers involved in TR and ER projects

Which of the projects now has the highest number of volunteers

A ER B FR C TR D Cannot be determined

SET 43

Mathematicians are assigned a number called Erdoumls number (named after the famous

mathematician Paul Erdoumls) Only Paul Erdoumls himself has an Erdoumls number of zero Any

mathematician who has written a research paper with Erdoumls has an Erdoumls number of 1 For

other mathematicians the calculation of hisher Erdoumls number is illustrated below

Suppose that a mathematician X has co-authored papers with several other mathematicians

From among them mathematician Y has the smallest Erdoumls number Let the Erdoumls number

of Y be y Then X has an Erdoumls number of y + 1 Hence any mathematician with no co-

authorship chain connected to Erdoumls has an Erdoumls number of infinity In a seven day long

mini-conference organized in memory of Paul Erdoumls a close group of eight mathematicians

call them A B C D E F G and H discussed some research problems At the beginning of the

conference A was the only participant who had an infinite Erdoumls number Nobody had an

Erdoumls number less than that of F

bull On the third day of the conference F co-authored a paper jointly with A and C This

reduced the average Erdoumls number of the group of eight mathematicians to 3 The Erdoumls

numbers of B D E G and H remained unchanged with the writing of this paper Further no

other co-authorship among any three members would have reduced the average Erdoumls

number of the group of eight to as low as 3

bull At the end of the third day five members of this group had identical Erdoumls numbers while

the other three had Erdoumls numbers distinct from each other

bull On the fifth day E co-authored a paper with F which reduced the grouprsquos average Erdoumls

number by 05 The Erdoumls numbers of the remaining six were unchanged with the writing of

this paper

bull No other paper was written during the conference

162 The Erdoumls number of C at the end of the conference was

A 1 B 2 C 3 D 4

163 The Erdoumls number of E at the beginning of the conference was

A 5 B 6 C 7 D 8

164 How many participants had the same Erdoumls number at the beginning of the

conference

A 2 B 3 C 4 D 5

SET 44

K L M N P Q R S U and W are the only ten members in a department There is a proposal

to form a team from within the members of the department subject to the following

conditions

bull A team must include exactly one among P R and S

bull A team must include either M or Q but not both

bull If a team includes K then it must also include L and vice versa

bull If a team includes one among S U and W then it must also include the other two

bull L and N cannot be members of the same team

bull L and U cannot be members of the same team

The size of a team is defined as the number of members in the team

165 Who can be a member of a team of size 5

A K B L C M D P

166 Who cannot be a member of a team of size 3

A L B M C N D P

167 What could be the size of a team that includes K

A 2 or 3 B 2 or 4 C 3 or 4 D Only 4

168 In how many ways a team can be constituted so that the team includes N

A 2 B 3 C 4 D 6

SET 45

(i) There are three houses on each side of the road

(ii) These six houses are labeled as P Q R S T and U

(iii) The houses are of different colours namely Red Blue Green Orange Yellow and

White

(iv) The houses are of different heights

(v) T the tallest house is exactly opposite to the Red coloured house

(vi) The shortest house is exactly opposite to the Green coloured house

(vii) U the Orange coloured house is located between P and S

(viii) R the Yellow coloured house is exactly opposite to P

(ix) Q the Green coloured house is exactly opposite to U

(x) P the White coloured house is taller than R but shorter than S and Q

169 Which is the second tallest house

A P B S C Q D cannot be determined

170 What is the colour of the house diagonally opposite to the Yellow coloured house

A White B Blue C Green D Red

171 What is the colour of the tallest house

A Red B Blue C Green D Yellow

SET 46

A leading socialite decided to organise a dinner and invited a few of her friends Only the

host and the hostess were sitting at the opposite ends of a rectangular table with three

persons along each side The pre-requisite for the seating arrangement was that each person

must be seated such that atleast on one side it has a person of opposite sex Maqbool is

opposite Shobha who is not the hostess Ratan has a woman on his right and is sitting

opposite a woman Monisha is sitting to the hostessrsquos right next to Dhirubhai One person is

seated between Madhuri and Urmila who is not the hostess The men were Maqbool Ratan

Dhirubhai and Jackie while the women were Madhuri Urmila Shobha and Monisha

172 The eighth person present Jackie must be I the host II seated to Shobarsquos right III

seated opposite Urmila

A I only B III only C I and II only D II and III only

173 Which of the following persons is definitely not seated next to a person of the same

sex

A Maqbool B Madhuri C Jackie D Shobha

174 If Ratan would have exchanged seats with a person four places to his left which of

the following would have been true after the exchange

I No one was seated between two persons of the opposite sex (eg no man was seated

between two women)

II One side of the table consisted entirely of persons of the same sex

III Either the host or the hostess changed seats

A I only B II only C I and II only D II and III only

175 If each person is placed directly opposite his or her spouse which of the following

pairs must be married

A Ratan and Monisha B Madhuri and Dhirubhai

C Urmila and Jackie D Ratan and Madhuri

SET 47

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

SET 28 A total of 1650 students are studying in an engineering college in different departments The ratio of male students to female students in the college is 8679 The college had a total of 5 departments which are mechanical civil electrical Biotechnology and computer science Total 198 males study in the mechanical department 18 students study in the civil department in which male to female ratio is 54 In the biotechnology department 77 male students are studying and the number of female students in this department is 57th of the number of males The total number of male students in the civil department is equal to the number of female students in the mechanical department The number of males in biotechnology department is half of the number of total male students in computer science department In the electrical department the male to female ratio is 1419

105 The number of male students in electrical department is how much more than female students in mechanical

106 Female students in electrical department is what of the total number of females in the college (approximately) SET 29 During the period 1990-91 to 1994-95 the unit sales of Motorcycles witnessed a simple average growth rate of 45 and the unit price experienced a simple average growth rate of 41 In the year 1990-91 amp 1992-93 the selling price of motorcycle was Rs 50000 The unit selling price rose by Rs 2500 each in the years 1991-92 and 1994-95 Between 1990-91 and 1992-93 unit sales increased by 155 In 1992-93 approx 2888 units and in 1993-94 3000 units were sold In 1991-92 the sales increased by Rs 1281 crore and number of units sold increased by 125

107 The rupee sales of the motorcycles in 1990-91 is A Rs 180crore B Rs 125crore C Rs 135crore D Rs 100crore

108 How many motorcycles were sold in 1991-92 A 2500 B 2625 C 3050 D 4000

109 How many motorcycles were sold during the period 1990-91 to 1994-95 A 15025 B 14005 C 14076 D 15000

110 What is the selling price of a motorcycle in 1993-94 A Rs 50000 B Rs 52500 C Rs 57750 D Rs 60000

SET 30 Mlon huskthe space Y inventor took his team of scientist to newly found planetrdquoEuro Chandrdquo The team agreed on the condition that they will not do any research during their visit but will only do rest But Husk as per his nature observed various phenomenon on new planet including the gravitational pull He observed that a kg on earth is equivalent to 12 kg on Euro chand except kg on new planet is called Euroc Slen weighs 552 Euroc weighs heavier than all except Plen who weighs 108 Euroc more Olen the lightest weighs 252 Euroc less than Dlen Jlen weighs 48 Euroc less than Slen and 48 Euroc more than Dlen

111 What is the weight of Plen (in Kg) A55 B46 C17 D48

112 What is the weight of Olen (in Euronc ) A505 B246 C218 D204

113 Approximately how many times is the weight of Plen that of Dlen A145 B107 C218 D214

114 Weight of Dlen is what moreless than weight of Jlen

A111 B108 C95 D121 SET 31 In a MNC there are 5000 employees In that there are 6 departments ie Accounts department maintenance-admin department HR department production department RampD department marketing department In maintenance- admin department there is 15 of total number of employees In that 40 are females Total number of persons working in RampD department is equal to total number of males working in maintenance department Male to female ratio of RampD is 45In production department 1500 persons are working there are males only In HR department the number of persons working is 15 of number of persons working in production department where 80 are females The number of people working in Accounts department is 60 of production department in that number of females are 550 The number of female in marketing department 500

115 Total number of males in RampD department is what percentage of total number of males in the marketing department A50 B 375 C 33 13 D1007

116 What is the percentage increasedecrease in total number of females in HR department to the total number of males in maintenance ndash admin department A5334 increase B5334 decrease C4666 increase D4666decrease

117 What is the difference between total number of males in marketing department to total number of females in the accounts department A75 B50 C60 D90

118 What is the ratio of total number of males in HR department to the total number of females in maintenance ndash admin department A15 B27 C35 D47 SET 32

According to A the census has been taken by the Government for literacy rate in two villages

A and B total population is 6 00000 In which the ratio between total numbers of males to

total number of females is 53 and the ratio of total population in village A to village B is 1713

The ratio of number of males in village A to number of males in village B is 78Total Ratio of

literate to illiterate (in men) 41 Out of total women only 35 are literates Total percentage

of adults is 80 ( m f = 53) in total population and in remaining 10 are children all other

peoples are senior citizens

119 What is the difference between literate people to total number of senior citizens

A378750 B78750 C270750 D221250

120 Total number of literate males in village A (if 45 of literate males are in Village A) is what percentage of total number of illiterate Females (Approximately) A97 B92 C89 D85

121 What is the ratio of males in village B to Adult females in the survey A54 B45 C910 D109

122 What is the increasedecrease in percentage of total number children to the

difference between the populations of village A to village B

A85 decrease B 85 increase C 95 increase D95 decrease

SET 33 Acity consists of 2400 employees working in different IT companies viz TCS Infosys Wipro Tech Mahindra and Oracle The ratio of male to female employees in the city is 5 3 respectively Twelve per cent of the males work in the TCS Company Twenty four per cent of the females work in the Oracle Company The ratio of males to females working in the TCS company is 6 11 respectively One-ninth of the females work in the Wipro Company Forty two percent of the males work in the Tech Mahindra Company Number of females working in the Tech Mahindra Company is ten percent of the males working in the same The remaining females work in the Infosys Company The total number of employees working in the Wipro Company is 285 Twenty two percent of the males work in the Infosys Company and the remaining work in the Oracle Company

123 The number of females working in the Tech Mahindra Company TCS Company and Infosys company together forms what percent of the total number of females in the City A6488 B5765 C 4896 D7527

124 The total number of females working in the TCS and Infosys Company together

forms what percent of the total number of employees in Tech Mahindra Company

A7018 B8047 C 7526 D7518

125 What is the difference between the number of males in Infosys Company and

number of females to the Oracle Company together to the number of males in Tech

Mahindra Company and number of females to the TCS Company together

A434 B427 C404 D414

126 The number of males working in the Wipro Company and the number of females

working in the Infosys Company together forms approximately what percent of the total

number of males in the City (Rounded off the nearest percentage)

A50 B25 C21 D18

SET 34

A School consisting of a total of 1560 students has boys and girls in the ratio of 7 5

respectively All the students are enrolled for different country tours viz Russia Switzerland

and Japan One-fifth of the boys are enrolled for only Switzerland tour Twenty percent of

the girls are enrolled for only Japan tour Ten percent of the boys are enrolled for only Russia

tour Twenty four percent of the girls are enrolled for both Russia and Switzerland tour

together The number of girls enrolled for only Russia tour is two hundred percent of the

boys enrolled in the same One-thirteenth of the boys are enrolled for all the three tour

together The respective ratio of boys enrolled for Switzerland and Japan tour together to

the girls enrolled for the same is 2 1 respectively Ten percent of the girls are enrolled for

only Switzerland tour whereas eight percent of the girls are enrolled for both Switzerland

and Japan tour together The remaining girls are enrolled for all the three tour together The

number of boys enrolled for Russia and Switzerland tour together is fifty percent of the

number of girls enrolled for the same The remaining boys are enrolled for only Japan tour

127 What is the respective ratio of the number of girls enrolled for only Japan tour and

number of boys enrolled for Switzerland tour together to the number of boys enrolled for

the Japan tour and number of girls enrolled for Switzerland tour together

A7752 B7552 C5275 D5277

128 Number of girls enrolled for only Switzerland Russia and Japantour together is what

percent of the boys together enrolled for the same (Rounded off to two digits after

decimal)

A3757 B5729 C6193 D5522

129 What is the total number of students enrolled for all the three tour and number of

girls enrolled for Switzerland and Russia tour together and number of boys enrolled for

Switzerland and Japan tour together

A395 B2415 C385 D390

130 What is the sum of the total number of boys who are enrolled for Switzerland and

the total number of girls who are enrolled for same tour together

A872 B752 C802 D772

SET 35

A radio station surveyed 200 students to determine the types of music they liked There are

three types of music rock music folk music and classical music The survey revealed that 57

percent liked rock music 25 percent liked folk music and 205 percent liked classical music 14

students liked rock music and folk music 15 students liked rock music and classical music 6

students liked only classical music and folk music 90 of them liked only rock music

131 How many of them liked folk music but not rock music

A36 B41 C30 D44

132 How many of them liked any two types of music only

A15 B16 C19 D25

133 How many students did not like any of the three types

A35 B40 C30 D25

134 What is the ratio of who liked rock and classical music together to the ratio of who

liked only folk music

A51 B3110 C316 D125

SET 36

In a shopping mall there are three different varieties of dress materials Cotton Silk and

Chiffon There are 300 customers visited the Shop 50 of customers purchased Cotton

material 40 of customers purchased Chiffon material and 60 of customers purchased Silk

material The customers who purchased any of two dress materials are 90 20 of

customers who purchased Cotton also purchased other two materials The customers who

purchased only Silk material are 20 more than that of who purchased only Chiffon material

30 Customers are purchased only Silk and Chiffon material

135 How many of them purchased only one variety of dress material

A150 B180 C120 D160

136 How many of them purchased at least two types of dress materials

A90 B100 C120 D140

137 What is the percentage of the customers who purchased only Silk material to that of

the customers who purchased all types of dress material

A30043 B30553 C35523 D23333

138 How many of them did not purchase any of the three types of materials

A10 B15 C5 D None

SET 37

In a sports event six teams (A B C D E and F) are competing against each other Matches

are scheduled in two stages Each team plays three matches in stage ndash I and two matches in

Stage ndash II No team plays against the same team more than once in the event No ties are

permitted in any of the matches The observations after the completion of Stage ndash I and

Stage ndash II are as given below

Stage-I

bull One team won all the three matches

bull Two teams lost all the matches

bull D lost to A but won against C and F

bull E lost to B but won against C and F

bull B lost at least one match

bull F did not play against the top team of Stage-I

Stage-II

bull The leader of Stage-I lost the next two matches

bull Of the two teams at the bottom after Stage-I one team won both matches while the

other lost both matches

bull One more team lost both matches in Stage-II

139 The two teams that defeated the leader of Stage-I are

A F amp D B E amp F C B amp D D E amp D

140 The only team(s) that won both matches in Stage-II is (are)

A B B E amp F C A E amp F D B E amp F

141 The teams that won exactly two matches in the event are

A A D amp F B D amp E C E amp F D D amp F

142 The team(s) with the most wins in the event is (are)

A A B A amp C C B amp E D E

SET 38

Two traders Chetan and Michael were involved in the buying and selling of MCS shares

over five trading days At the beginning of the first day the MCS share was priced at ₹100

while at the end of the fifth day it was priced at ₹110 At the end of each day the MCS share

price either went up by ₹10 or else it came down by ₹10 Both Chetan and Michael took

buying and selling decisions at the end of each trading day The beginning price of MCS share

on a given day was the same as the ending price of the previous day Chetan and Michael

started with the same number of shares and amount of cash and had enough of both

Below are some additional facts about how Chetan and Michael traded over the five trading

days

middot Each day if the price went up Chetan sold 10 shares of MCS at the closing price On the

other hand each day if the price went down he bought 10 shares at the closing price

middot If on any day the closing price was above ₹110 then Michael sold 10 shares of MCS

while if it was below ₹90 he bought 10 shares all at the closing price

143 If Chetan sold 10 shares of MCS on three consecutive days while Michael sold 10

shares only once during the five days what was the price of MCS at the end of day 3

A ₹ 90 B ₹100 C ₹110 D ₹120

144 If Chetan ended up with ₹1300 more cash than Michael at the end of day 5 what

was the price of MCS share at the end of day 4

A ₹90 B ₹100 C ₹110 D₹120

145 If Michael ended up with 20 more shares than Chetan at the end of day 5 what was

the price of the share at the end of day 3

A₹90 B ₹100 C ₹110 D ₹120

146 If Michael ended up with ₹100 less cash than Chetan at the end of day 5 what was

the difference in the number of shares possessed by Michael and Chetan (at the end of day

5)

A Michael had 10 less shares than Chetan

B Michael had 10 more shares than Chetan

C Chetan had 10 more shares than Michael

D Both had the same number of shares

SET 39

Bankatlal acted as a judge for the beauty contest There were four participants viz Ms

Andhra Pradesh Ms Uttar Pradesh Ms West Bengal and Ms Maharashtra Mrs Bankatlal

who was very anxious about the result asked him about it as soon as he was back home

Bankatlal just told that the one who was wearing the yellow saree won the contest When

Mrs Bankatlal pressed for further details he elaborated as follows

I All of them were sitting in a row

II All of them wore sarees of different colors viz Green Yellow White Red

III There was only one runner up and she was sitting beside Ms Maharashtra

IV The runner up was wearing the Green saree

V Ms West Bengal was not sitting at the ends and was not a runner up

VI The winner and the runner up are not sitting adjacent to each other

VII Ms Maharashtra was wearing white saree

VIII Ms Andhra Pradesh was not wearing the Green saree

IX Participants wearing Yellow saree and White saree were at the ends

147 Who wore the Red saree A Ms Andhra Pradesh B Ms West Bengal C Ms Uttar Pradesh D Ms Maharashtra

148 Ms West Bengal was sitting adjacent to A Ms Andhra Pradesh and Ms Maharashtra B Ms Uttar Pradesh and Ms Maharashta C Ms Andhra Pradesh and Ms Uttar Pradesh D Ms Uttar Pradesh only

149 Which saree was worn by Ms Andhra Pradesh A Yellow B Red C Green D White

150 Who was the runner up

A Ms Andhra Pradesh B Ms West Bengal

C Ms Uttar Pradesh D Ms Maharashta

SET 40

Ghosh Babu goes to a casino in Kay - Kay islands where he comes across an interesting game

of cards The visitor playing the game is called the player amp the clubman is called the dealer

The rules of the game are as follows First the player picks the card This card is called the

base card amp the number on the face of the card is called the base value of the card Ace

King Queen amp Jack all have base value of 10 The dealer pays the player same number of

rupees as the base value of the card Now the dealer picks a card amp This is called the top

card If topcard is of the same suite then the player pays the dealer double the amount of

base value If it is of the same colour but not the same suite then the player pays the dealer

the amount of a bse value If it is of different colour then the dealer pays the player the

amount of base value Ghosh Babu plays the game 4 times First time he draws 8 of club amp

the dealer draws jack of club Second time he draws 10 of hearts amp the dealer draws 2 of

spade Third time he draws 6 of diamond amp the dealer draws 1 of heart Finally Ghosh Babu

draws 8 of spade and the dealer draws ace of the spade

151 If Ghosh Babu should leave the game when his profit is maximum then what is that

profit

A 12 B 18 C 20 D None of these

152 If Ghosh Babu did not have to borrow any money from anyone then what is the

minimum amount that he could have started with

A 16 B 24 C 8 D None of these

153 If Ghosh Babu is left with 100 rupees now what is the amount that he had started

with

A 120 B 104 C 96 D None of these

SET 41

Twenty one participants from four continents (Africa Americas Australasia and Europe)

attended a United Nations conference Each participant was an expert in one of four fields

labour health population studies and refugee relocation The following five facts about the

participants are given

I The number of labour experts in the camp was exactly half the number of experts in each

of the three other categories

II Africa did not send any labour expert Otherwise every continent including Africa sent at

least one expert for each category

III None of the continents sent more than three experts in any category

IV If there had been one less Australasian expert then the America would have had twice

many experts as each of the other continents

V Mike and Alfanso are leading experts of population studies who attended the conference

They are from Australasia

154 Which of the following numbers cannot be determined from the information given

A Number of labour experts from the Americas

B Number of health experts from Europe

C Number of health experts from Australasia

D Number of experts in refugee relocation from Africa

155 Which of the following combinations is NOT possible

A 2 experts in population studies from the Americas and 2 health experts from Africa

attended the conference

B 2 experts in population studies from the Americas and 1 health expert from Africa

attended the conference

C 3 experts in refugee relocation from the Americas and 1 health expert from Africa

attended the conference

D Africa and America each had 1 expert in population studies attending the conference

156 If Ramos is the lone America expert in population studies which of the following is

NOT true about the numbers of experts in the conference from the four continents

A There is one expert in health from Africa

B There is one expert in refugee relocation from Africa

C There are two experts in health from the Americas

D There are three experts in refugee relocation from the Americas

157 Alex an American expert in refugee relocation was the first keynote speaker in the

conference What can be inferred about the number of American experts in refugee

relocation in the conference excluding Alex (i) At least one (ii) Atmost two

A Only (i) and not (ii) B Only (ii) and not (i)

C Both (i) and (ii) D Neither (i) nor (ii)

SET 42

Help Distress (HD) is an NGO involved in providing assistance to people suffering from

natural disasters Currently it has 37 volunteers They are involved in three projects

Tsunami Relief (TR) in Tamil Nadu Flood Relief (FR) in Maharashtra and Earthquake Relief

(ER) in Gujarat Each volunteer working with Help Distress has to be involved in at least one

relief work project

bull A Maximum number of volunteers are involved in the FR project Among them the

number of volunteers involved in FR project alone is equal to the volunteers having

additional involvement in the ER project

bull The number of volunteers involved in the ER project alone is double the number of

volunteers involved in all the three projects

bull 17 volunteers are involved in the TR project

bull The number of volunteers involved in the TR project alone is one less than the number of

volunteers involved in ER project alone

bull Ten volunteers involved in the TR project are also involved in at least one more project

158 Based on the information given above the minimum number of volunteers involved

in both FR and TR projects but not in the ER project is

A 1 B 3 C 4 D 5

159 Which of the following additional information would enable to find the exact

number of volunteers involved in various projects

A Twenty volunteers are involved in FR B Four volunteers are involved in all the three projects C Twenty three volunteers are involved in exactly one project D No need for any additional information

160 After some time the volunteers who were involved in all the three projects were

asked to withdraw from one project As a result one of the volunteers opted out of the TR

project and one opted out of the ER project while the remaining ones involved in all the

three projects opted out of the FR project Which of the following statements then

necessarily follows

A The lowest number of volunteers is now in TR project B More volunteers are now in FR project as compared to ER project C More volunteers are now in TR project as compared to ER project D None of the above

161 After the withdrawal of volunteers as indicated in Question 85 some new

volunteers joined the NGO Each one of them was allotted only one project in a manner such

that the number of volunteers working in one project alone for each of the three projects

became identical At that point it was also found that the number of volunteers involved in

FR and ER projects was the same as the number of volunteers involved in TR and ER projects

Which of the projects now has the highest number of volunteers

A ER B FR C TR D Cannot be determined

SET 43

Mathematicians are assigned a number called Erdoumls number (named after the famous

mathematician Paul Erdoumls) Only Paul Erdoumls himself has an Erdoumls number of zero Any

mathematician who has written a research paper with Erdoumls has an Erdoumls number of 1 For

other mathematicians the calculation of hisher Erdoumls number is illustrated below

Suppose that a mathematician X has co-authored papers with several other mathematicians

From among them mathematician Y has the smallest Erdoumls number Let the Erdoumls number

of Y be y Then X has an Erdoumls number of y + 1 Hence any mathematician with no co-

authorship chain connected to Erdoumls has an Erdoumls number of infinity In a seven day long

mini-conference organized in memory of Paul Erdoumls a close group of eight mathematicians

call them A B C D E F G and H discussed some research problems At the beginning of the

conference A was the only participant who had an infinite Erdoumls number Nobody had an

Erdoumls number less than that of F

bull On the third day of the conference F co-authored a paper jointly with A and C This

reduced the average Erdoumls number of the group of eight mathematicians to 3 The Erdoumls

numbers of B D E G and H remained unchanged with the writing of this paper Further no

other co-authorship among any three members would have reduced the average Erdoumls

number of the group of eight to as low as 3

bull At the end of the third day five members of this group had identical Erdoumls numbers while

the other three had Erdoumls numbers distinct from each other

bull On the fifth day E co-authored a paper with F which reduced the grouprsquos average Erdoumls

number by 05 The Erdoumls numbers of the remaining six were unchanged with the writing of

this paper

bull No other paper was written during the conference

162 The Erdoumls number of C at the end of the conference was

A 1 B 2 C 3 D 4

163 The Erdoumls number of E at the beginning of the conference was

A 5 B 6 C 7 D 8

164 How many participants had the same Erdoumls number at the beginning of the

conference

A 2 B 3 C 4 D 5

SET 44

K L M N P Q R S U and W are the only ten members in a department There is a proposal

to form a team from within the members of the department subject to the following

conditions

bull A team must include exactly one among P R and S

bull A team must include either M or Q but not both

bull If a team includes K then it must also include L and vice versa

bull If a team includes one among S U and W then it must also include the other two

bull L and N cannot be members of the same team

bull L and U cannot be members of the same team

The size of a team is defined as the number of members in the team

165 Who can be a member of a team of size 5

A K B L C M D P

166 Who cannot be a member of a team of size 3

A L B M C N D P

167 What could be the size of a team that includes K

A 2 or 3 B 2 or 4 C 3 or 4 D Only 4

168 In how many ways a team can be constituted so that the team includes N

A 2 B 3 C 4 D 6

SET 45

(i) There are three houses on each side of the road

(ii) These six houses are labeled as P Q R S T and U

(iii) The houses are of different colours namely Red Blue Green Orange Yellow and

White

(iv) The houses are of different heights

(v) T the tallest house is exactly opposite to the Red coloured house

(vi) The shortest house is exactly opposite to the Green coloured house

(vii) U the Orange coloured house is located between P and S

(viii) R the Yellow coloured house is exactly opposite to P

(ix) Q the Green coloured house is exactly opposite to U

(x) P the White coloured house is taller than R but shorter than S and Q

169 Which is the second tallest house

A P B S C Q D cannot be determined

170 What is the colour of the house diagonally opposite to the Yellow coloured house

A White B Blue C Green D Red

171 What is the colour of the tallest house

A Red B Blue C Green D Yellow

SET 46

A leading socialite decided to organise a dinner and invited a few of her friends Only the

host and the hostess were sitting at the opposite ends of a rectangular table with three

persons along each side The pre-requisite for the seating arrangement was that each person

must be seated such that atleast on one side it has a person of opposite sex Maqbool is

opposite Shobha who is not the hostess Ratan has a woman on his right and is sitting

opposite a woman Monisha is sitting to the hostessrsquos right next to Dhirubhai One person is

seated between Madhuri and Urmila who is not the hostess The men were Maqbool Ratan

Dhirubhai and Jackie while the women were Madhuri Urmila Shobha and Monisha

172 The eighth person present Jackie must be I the host II seated to Shobarsquos right III

seated opposite Urmila

A I only B III only C I and II only D II and III only

173 Which of the following persons is definitely not seated next to a person of the same

sex

A Maqbool B Madhuri C Jackie D Shobha

174 If Ratan would have exchanged seats with a person four places to his left which of

the following would have been true after the exchange

I No one was seated between two persons of the opposite sex (eg no man was seated

between two women)

II One side of the table consisted entirely of persons of the same sex

III Either the host or the hostess changed seats

A I only B II only C I and II only D II and III only

175 If each person is placed directly opposite his or her spouse which of the following

pairs must be married

A Ratan and Monisha B Madhuri and Dhirubhai

C Urmila and Jackie D Ratan and Madhuri

SET 47

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

A111 B108 C95 D121 SET 31 In a MNC there are 5000 employees In that there are 6 departments ie Accounts department maintenance-admin department HR department production department RampD department marketing department In maintenance- admin department there is 15 of total number of employees In that 40 are females Total number of persons working in RampD department is equal to total number of males working in maintenance department Male to female ratio of RampD is 45In production department 1500 persons are working there are males only In HR department the number of persons working is 15 of number of persons working in production department where 80 are females The number of people working in Accounts department is 60 of production department in that number of females are 550 The number of female in marketing department 500

115 Total number of males in RampD department is what percentage of total number of males in the marketing department A50 B 375 C 33 13 D1007

116 What is the percentage increasedecrease in total number of females in HR department to the total number of males in maintenance ndash admin department A5334 increase B5334 decrease C4666 increase D4666decrease

117 What is the difference between total number of males in marketing department to total number of females in the accounts department A75 B50 C60 D90

118 What is the ratio of total number of males in HR department to the total number of females in maintenance ndash admin department A15 B27 C35 D47 SET 32

According to A the census has been taken by the Government for literacy rate in two villages

A and B total population is 6 00000 In which the ratio between total numbers of males to

total number of females is 53 and the ratio of total population in village A to village B is 1713

The ratio of number of males in village A to number of males in village B is 78Total Ratio of

literate to illiterate (in men) 41 Out of total women only 35 are literates Total percentage

of adults is 80 ( m f = 53) in total population and in remaining 10 are children all other

peoples are senior citizens

119 What is the difference between literate people to total number of senior citizens

A378750 B78750 C270750 D221250

120 Total number of literate males in village A (if 45 of literate males are in Village A) is what percentage of total number of illiterate Females (Approximately) A97 B92 C89 D85

121 What is the ratio of males in village B to Adult females in the survey A54 B45 C910 D109

122 What is the increasedecrease in percentage of total number children to the

difference between the populations of village A to village B

A85 decrease B 85 increase C 95 increase D95 decrease

SET 33 Acity consists of 2400 employees working in different IT companies viz TCS Infosys Wipro Tech Mahindra and Oracle The ratio of male to female employees in the city is 5 3 respectively Twelve per cent of the males work in the TCS Company Twenty four per cent of the females work in the Oracle Company The ratio of males to females working in the TCS company is 6 11 respectively One-ninth of the females work in the Wipro Company Forty two percent of the males work in the Tech Mahindra Company Number of females working in the Tech Mahindra Company is ten percent of the males working in the same The remaining females work in the Infosys Company The total number of employees working in the Wipro Company is 285 Twenty two percent of the males work in the Infosys Company and the remaining work in the Oracle Company

123 The number of females working in the Tech Mahindra Company TCS Company and Infosys company together forms what percent of the total number of females in the City A6488 B5765 C 4896 D7527

124 The total number of females working in the TCS and Infosys Company together

forms what percent of the total number of employees in Tech Mahindra Company

A7018 B8047 C 7526 D7518

125 What is the difference between the number of males in Infosys Company and

number of females to the Oracle Company together to the number of males in Tech

Mahindra Company and number of females to the TCS Company together

A434 B427 C404 D414

126 The number of males working in the Wipro Company and the number of females

working in the Infosys Company together forms approximately what percent of the total

number of males in the City (Rounded off the nearest percentage)

A50 B25 C21 D18

SET 34

A School consisting of a total of 1560 students has boys and girls in the ratio of 7 5

respectively All the students are enrolled for different country tours viz Russia Switzerland

and Japan One-fifth of the boys are enrolled for only Switzerland tour Twenty percent of

the girls are enrolled for only Japan tour Ten percent of the boys are enrolled for only Russia

tour Twenty four percent of the girls are enrolled for both Russia and Switzerland tour

together The number of girls enrolled for only Russia tour is two hundred percent of the

boys enrolled in the same One-thirteenth of the boys are enrolled for all the three tour

together The respective ratio of boys enrolled for Switzerland and Japan tour together to

the girls enrolled for the same is 2 1 respectively Ten percent of the girls are enrolled for

only Switzerland tour whereas eight percent of the girls are enrolled for both Switzerland

and Japan tour together The remaining girls are enrolled for all the three tour together The

number of boys enrolled for Russia and Switzerland tour together is fifty percent of the

number of girls enrolled for the same The remaining boys are enrolled for only Japan tour

127 What is the respective ratio of the number of girls enrolled for only Japan tour and

number of boys enrolled for Switzerland tour together to the number of boys enrolled for

the Japan tour and number of girls enrolled for Switzerland tour together

A7752 B7552 C5275 D5277

128 Number of girls enrolled for only Switzerland Russia and Japantour together is what

percent of the boys together enrolled for the same (Rounded off to two digits after

decimal)

A3757 B5729 C6193 D5522

129 What is the total number of students enrolled for all the three tour and number of

girls enrolled for Switzerland and Russia tour together and number of boys enrolled for

Switzerland and Japan tour together

A395 B2415 C385 D390

130 What is the sum of the total number of boys who are enrolled for Switzerland and

the total number of girls who are enrolled for same tour together

A872 B752 C802 D772

SET 35

A radio station surveyed 200 students to determine the types of music they liked There are

three types of music rock music folk music and classical music The survey revealed that 57

percent liked rock music 25 percent liked folk music and 205 percent liked classical music 14

students liked rock music and folk music 15 students liked rock music and classical music 6

students liked only classical music and folk music 90 of them liked only rock music

131 How many of them liked folk music but not rock music

A36 B41 C30 D44

132 How many of them liked any two types of music only

A15 B16 C19 D25

133 How many students did not like any of the three types

A35 B40 C30 D25

134 What is the ratio of who liked rock and classical music together to the ratio of who

liked only folk music

A51 B3110 C316 D125

SET 36

In a shopping mall there are three different varieties of dress materials Cotton Silk and

Chiffon There are 300 customers visited the Shop 50 of customers purchased Cotton

material 40 of customers purchased Chiffon material and 60 of customers purchased Silk

material The customers who purchased any of two dress materials are 90 20 of

customers who purchased Cotton also purchased other two materials The customers who

purchased only Silk material are 20 more than that of who purchased only Chiffon material

30 Customers are purchased only Silk and Chiffon material

135 How many of them purchased only one variety of dress material

A150 B180 C120 D160

136 How many of them purchased at least two types of dress materials

A90 B100 C120 D140

137 What is the percentage of the customers who purchased only Silk material to that of

the customers who purchased all types of dress material

A30043 B30553 C35523 D23333

138 How many of them did not purchase any of the three types of materials

A10 B15 C5 D None

SET 37

In a sports event six teams (A B C D E and F) are competing against each other Matches

are scheduled in two stages Each team plays three matches in stage ndash I and two matches in

Stage ndash II No team plays against the same team more than once in the event No ties are

permitted in any of the matches The observations after the completion of Stage ndash I and

Stage ndash II are as given below

Stage-I

bull One team won all the three matches

bull Two teams lost all the matches

bull D lost to A but won against C and F

bull E lost to B but won against C and F

bull B lost at least one match

bull F did not play against the top team of Stage-I

Stage-II

bull The leader of Stage-I lost the next two matches

bull Of the two teams at the bottom after Stage-I one team won both matches while the

other lost both matches

bull One more team lost both matches in Stage-II

139 The two teams that defeated the leader of Stage-I are

A F amp D B E amp F C B amp D D E amp D

140 The only team(s) that won both matches in Stage-II is (are)

A B B E amp F C A E amp F D B E amp F

141 The teams that won exactly two matches in the event are

A A D amp F B D amp E C E amp F D D amp F

142 The team(s) with the most wins in the event is (are)

A A B A amp C C B amp E D E

SET 38

Two traders Chetan and Michael were involved in the buying and selling of MCS shares

over five trading days At the beginning of the first day the MCS share was priced at ₹100

while at the end of the fifth day it was priced at ₹110 At the end of each day the MCS share

price either went up by ₹10 or else it came down by ₹10 Both Chetan and Michael took

buying and selling decisions at the end of each trading day The beginning price of MCS share

on a given day was the same as the ending price of the previous day Chetan and Michael

started with the same number of shares and amount of cash and had enough of both

Below are some additional facts about how Chetan and Michael traded over the five trading

days

middot Each day if the price went up Chetan sold 10 shares of MCS at the closing price On the

other hand each day if the price went down he bought 10 shares at the closing price

middot If on any day the closing price was above ₹110 then Michael sold 10 shares of MCS

while if it was below ₹90 he bought 10 shares all at the closing price

143 If Chetan sold 10 shares of MCS on three consecutive days while Michael sold 10

shares only once during the five days what was the price of MCS at the end of day 3

A ₹ 90 B ₹100 C ₹110 D ₹120

144 If Chetan ended up with ₹1300 more cash than Michael at the end of day 5 what

was the price of MCS share at the end of day 4

A ₹90 B ₹100 C ₹110 D₹120

145 If Michael ended up with 20 more shares than Chetan at the end of day 5 what was

the price of the share at the end of day 3

A₹90 B ₹100 C ₹110 D ₹120

146 If Michael ended up with ₹100 less cash than Chetan at the end of day 5 what was

the difference in the number of shares possessed by Michael and Chetan (at the end of day

5)

A Michael had 10 less shares than Chetan

B Michael had 10 more shares than Chetan

C Chetan had 10 more shares than Michael

D Both had the same number of shares

SET 39

Bankatlal acted as a judge for the beauty contest There were four participants viz Ms

Andhra Pradesh Ms Uttar Pradesh Ms West Bengal and Ms Maharashtra Mrs Bankatlal

who was very anxious about the result asked him about it as soon as he was back home

Bankatlal just told that the one who was wearing the yellow saree won the contest When

Mrs Bankatlal pressed for further details he elaborated as follows

I All of them were sitting in a row

II All of them wore sarees of different colors viz Green Yellow White Red

III There was only one runner up and she was sitting beside Ms Maharashtra

IV The runner up was wearing the Green saree

V Ms West Bengal was not sitting at the ends and was not a runner up

VI The winner and the runner up are not sitting adjacent to each other

VII Ms Maharashtra was wearing white saree

VIII Ms Andhra Pradesh was not wearing the Green saree

IX Participants wearing Yellow saree and White saree were at the ends

147 Who wore the Red saree A Ms Andhra Pradesh B Ms West Bengal C Ms Uttar Pradesh D Ms Maharashtra

148 Ms West Bengal was sitting adjacent to A Ms Andhra Pradesh and Ms Maharashtra B Ms Uttar Pradesh and Ms Maharashta C Ms Andhra Pradesh and Ms Uttar Pradesh D Ms Uttar Pradesh only

149 Which saree was worn by Ms Andhra Pradesh A Yellow B Red C Green D White

150 Who was the runner up

A Ms Andhra Pradesh B Ms West Bengal

C Ms Uttar Pradesh D Ms Maharashta

SET 40

Ghosh Babu goes to a casino in Kay - Kay islands where he comes across an interesting game

of cards The visitor playing the game is called the player amp the clubman is called the dealer

The rules of the game are as follows First the player picks the card This card is called the

base card amp the number on the face of the card is called the base value of the card Ace

King Queen amp Jack all have base value of 10 The dealer pays the player same number of

rupees as the base value of the card Now the dealer picks a card amp This is called the top

card If topcard is of the same suite then the player pays the dealer double the amount of

base value If it is of the same colour but not the same suite then the player pays the dealer

the amount of a bse value If it is of different colour then the dealer pays the player the

amount of base value Ghosh Babu plays the game 4 times First time he draws 8 of club amp

the dealer draws jack of club Second time he draws 10 of hearts amp the dealer draws 2 of

spade Third time he draws 6 of diamond amp the dealer draws 1 of heart Finally Ghosh Babu

draws 8 of spade and the dealer draws ace of the spade

151 If Ghosh Babu should leave the game when his profit is maximum then what is that

profit

A 12 B 18 C 20 D None of these

152 If Ghosh Babu did not have to borrow any money from anyone then what is the

minimum amount that he could have started with

A 16 B 24 C 8 D None of these

153 If Ghosh Babu is left with 100 rupees now what is the amount that he had started

with

A 120 B 104 C 96 D None of these

SET 41

Twenty one participants from four continents (Africa Americas Australasia and Europe)

attended a United Nations conference Each participant was an expert in one of four fields

labour health population studies and refugee relocation The following five facts about the

participants are given

I The number of labour experts in the camp was exactly half the number of experts in each

of the three other categories

II Africa did not send any labour expert Otherwise every continent including Africa sent at

least one expert for each category

III None of the continents sent more than three experts in any category

IV If there had been one less Australasian expert then the America would have had twice

many experts as each of the other continents

V Mike and Alfanso are leading experts of population studies who attended the conference

They are from Australasia

154 Which of the following numbers cannot be determined from the information given

A Number of labour experts from the Americas

B Number of health experts from Europe

C Number of health experts from Australasia

D Number of experts in refugee relocation from Africa

155 Which of the following combinations is NOT possible

A 2 experts in population studies from the Americas and 2 health experts from Africa

attended the conference

B 2 experts in population studies from the Americas and 1 health expert from Africa

attended the conference

C 3 experts in refugee relocation from the Americas and 1 health expert from Africa

attended the conference

D Africa and America each had 1 expert in population studies attending the conference

156 If Ramos is the lone America expert in population studies which of the following is

NOT true about the numbers of experts in the conference from the four continents

A There is one expert in health from Africa

B There is one expert in refugee relocation from Africa

C There are two experts in health from the Americas

D There are three experts in refugee relocation from the Americas

157 Alex an American expert in refugee relocation was the first keynote speaker in the

conference What can be inferred about the number of American experts in refugee

relocation in the conference excluding Alex (i) At least one (ii) Atmost two

A Only (i) and not (ii) B Only (ii) and not (i)

C Both (i) and (ii) D Neither (i) nor (ii)

SET 42

Help Distress (HD) is an NGO involved in providing assistance to people suffering from

natural disasters Currently it has 37 volunteers They are involved in three projects

Tsunami Relief (TR) in Tamil Nadu Flood Relief (FR) in Maharashtra and Earthquake Relief

(ER) in Gujarat Each volunteer working with Help Distress has to be involved in at least one

relief work project

bull A Maximum number of volunteers are involved in the FR project Among them the

number of volunteers involved in FR project alone is equal to the volunteers having

additional involvement in the ER project

bull The number of volunteers involved in the ER project alone is double the number of

volunteers involved in all the three projects

bull 17 volunteers are involved in the TR project

bull The number of volunteers involved in the TR project alone is one less than the number of

volunteers involved in ER project alone

bull Ten volunteers involved in the TR project are also involved in at least one more project

158 Based on the information given above the minimum number of volunteers involved

in both FR and TR projects but not in the ER project is

A 1 B 3 C 4 D 5

159 Which of the following additional information would enable to find the exact

number of volunteers involved in various projects

A Twenty volunteers are involved in FR B Four volunteers are involved in all the three projects C Twenty three volunteers are involved in exactly one project D No need for any additional information

160 After some time the volunteers who were involved in all the three projects were

asked to withdraw from one project As a result one of the volunteers opted out of the TR

project and one opted out of the ER project while the remaining ones involved in all the

three projects opted out of the FR project Which of the following statements then

necessarily follows

A The lowest number of volunteers is now in TR project B More volunteers are now in FR project as compared to ER project C More volunteers are now in TR project as compared to ER project D None of the above

161 After the withdrawal of volunteers as indicated in Question 85 some new

volunteers joined the NGO Each one of them was allotted only one project in a manner such

that the number of volunteers working in one project alone for each of the three projects

became identical At that point it was also found that the number of volunteers involved in

FR and ER projects was the same as the number of volunteers involved in TR and ER projects

Which of the projects now has the highest number of volunteers

A ER B FR C TR D Cannot be determined

SET 43

Mathematicians are assigned a number called Erdoumls number (named after the famous

mathematician Paul Erdoumls) Only Paul Erdoumls himself has an Erdoumls number of zero Any

mathematician who has written a research paper with Erdoumls has an Erdoumls number of 1 For

other mathematicians the calculation of hisher Erdoumls number is illustrated below

Suppose that a mathematician X has co-authored papers with several other mathematicians

From among them mathematician Y has the smallest Erdoumls number Let the Erdoumls number

of Y be y Then X has an Erdoumls number of y + 1 Hence any mathematician with no co-

authorship chain connected to Erdoumls has an Erdoumls number of infinity In a seven day long

mini-conference organized in memory of Paul Erdoumls a close group of eight mathematicians

call them A B C D E F G and H discussed some research problems At the beginning of the

conference A was the only participant who had an infinite Erdoumls number Nobody had an

Erdoumls number less than that of F

bull On the third day of the conference F co-authored a paper jointly with A and C This

reduced the average Erdoumls number of the group of eight mathematicians to 3 The Erdoumls

numbers of B D E G and H remained unchanged with the writing of this paper Further no

other co-authorship among any three members would have reduced the average Erdoumls

number of the group of eight to as low as 3

bull At the end of the third day five members of this group had identical Erdoumls numbers while

the other three had Erdoumls numbers distinct from each other

bull On the fifth day E co-authored a paper with F which reduced the grouprsquos average Erdoumls

number by 05 The Erdoumls numbers of the remaining six were unchanged with the writing of

this paper

bull No other paper was written during the conference

162 The Erdoumls number of C at the end of the conference was

A 1 B 2 C 3 D 4

163 The Erdoumls number of E at the beginning of the conference was

A 5 B 6 C 7 D 8

164 How many participants had the same Erdoumls number at the beginning of the

conference

A 2 B 3 C 4 D 5

SET 44

K L M N P Q R S U and W are the only ten members in a department There is a proposal

to form a team from within the members of the department subject to the following

conditions

bull A team must include exactly one among P R and S

bull A team must include either M or Q but not both

bull If a team includes K then it must also include L and vice versa

bull If a team includes one among S U and W then it must also include the other two

bull L and N cannot be members of the same team

bull L and U cannot be members of the same team

The size of a team is defined as the number of members in the team

165 Who can be a member of a team of size 5

A K B L C M D P

166 Who cannot be a member of a team of size 3

A L B M C N D P

167 What could be the size of a team that includes K

A 2 or 3 B 2 or 4 C 3 or 4 D Only 4

168 In how many ways a team can be constituted so that the team includes N

A 2 B 3 C 4 D 6

SET 45

(i) There are three houses on each side of the road

(ii) These six houses are labeled as P Q R S T and U

(iii) The houses are of different colours namely Red Blue Green Orange Yellow and

White

(iv) The houses are of different heights

(v) T the tallest house is exactly opposite to the Red coloured house

(vi) The shortest house is exactly opposite to the Green coloured house

(vii) U the Orange coloured house is located between P and S

(viii) R the Yellow coloured house is exactly opposite to P

(ix) Q the Green coloured house is exactly opposite to U

(x) P the White coloured house is taller than R but shorter than S and Q

169 Which is the second tallest house

A P B S C Q D cannot be determined

170 What is the colour of the house diagonally opposite to the Yellow coloured house

A White B Blue C Green D Red

171 What is the colour of the tallest house

A Red B Blue C Green D Yellow

SET 46

A leading socialite decided to organise a dinner and invited a few of her friends Only the

host and the hostess were sitting at the opposite ends of a rectangular table with three

persons along each side The pre-requisite for the seating arrangement was that each person

must be seated such that atleast on one side it has a person of opposite sex Maqbool is

opposite Shobha who is not the hostess Ratan has a woman on his right and is sitting

opposite a woman Monisha is sitting to the hostessrsquos right next to Dhirubhai One person is

seated between Madhuri and Urmila who is not the hostess The men were Maqbool Ratan

Dhirubhai and Jackie while the women were Madhuri Urmila Shobha and Monisha

172 The eighth person present Jackie must be I the host II seated to Shobarsquos right III

seated opposite Urmila

A I only B III only C I and II only D II and III only

173 Which of the following persons is definitely not seated next to a person of the same

sex

A Maqbool B Madhuri C Jackie D Shobha

174 If Ratan would have exchanged seats with a person four places to his left which of

the following would have been true after the exchange

I No one was seated between two persons of the opposite sex (eg no man was seated

between two women)

II One side of the table consisted entirely of persons of the same sex

III Either the host or the hostess changed seats

A I only B II only C I and II only D II and III only

175 If each person is placed directly opposite his or her spouse which of the following

pairs must be married

A Ratan and Monisha B Madhuri and Dhirubhai

C Urmila and Jackie D Ratan and Madhuri

SET 47

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

120 Total number of literate males in village A (if 45 of literate males are in Village A) is what percentage of total number of illiterate Females (Approximately) A97 B92 C89 D85

121 What is the ratio of males in village B to Adult females in the survey A54 B45 C910 D109

122 What is the increasedecrease in percentage of total number children to the

difference between the populations of village A to village B

A85 decrease B 85 increase C 95 increase D95 decrease

SET 33 Acity consists of 2400 employees working in different IT companies viz TCS Infosys Wipro Tech Mahindra and Oracle The ratio of male to female employees in the city is 5 3 respectively Twelve per cent of the males work in the TCS Company Twenty four per cent of the females work in the Oracle Company The ratio of males to females working in the TCS company is 6 11 respectively One-ninth of the females work in the Wipro Company Forty two percent of the males work in the Tech Mahindra Company Number of females working in the Tech Mahindra Company is ten percent of the males working in the same The remaining females work in the Infosys Company The total number of employees working in the Wipro Company is 285 Twenty two percent of the males work in the Infosys Company and the remaining work in the Oracle Company

123 The number of females working in the Tech Mahindra Company TCS Company and Infosys company together forms what percent of the total number of females in the City A6488 B5765 C 4896 D7527

124 The total number of females working in the TCS and Infosys Company together

forms what percent of the total number of employees in Tech Mahindra Company

A7018 B8047 C 7526 D7518

125 What is the difference between the number of males in Infosys Company and

number of females to the Oracle Company together to the number of males in Tech

Mahindra Company and number of females to the TCS Company together

A434 B427 C404 D414

126 The number of males working in the Wipro Company and the number of females

working in the Infosys Company together forms approximately what percent of the total

number of males in the City (Rounded off the nearest percentage)

A50 B25 C21 D18

SET 34

A School consisting of a total of 1560 students has boys and girls in the ratio of 7 5

respectively All the students are enrolled for different country tours viz Russia Switzerland

and Japan One-fifth of the boys are enrolled for only Switzerland tour Twenty percent of

the girls are enrolled for only Japan tour Ten percent of the boys are enrolled for only Russia

tour Twenty four percent of the girls are enrolled for both Russia and Switzerland tour

together The number of girls enrolled for only Russia tour is two hundred percent of the

boys enrolled in the same One-thirteenth of the boys are enrolled for all the three tour

together The respective ratio of boys enrolled for Switzerland and Japan tour together to

the girls enrolled for the same is 2 1 respectively Ten percent of the girls are enrolled for

only Switzerland tour whereas eight percent of the girls are enrolled for both Switzerland

and Japan tour together The remaining girls are enrolled for all the three tour together The

number of boys enrolled for Russia and Switzerland tour together is fifty percent of the

number of girls enrolled for the same The remaining boys are enrolled for only Japan tour

127 What is the respective ratio of the number of girls enrolled for only Japan tour and

number of boys enrolled for Switzerland tour together to the number of boys enrolled for

the Japan tour and number of girls enrolled for Switzerland tour together

A7752 B7552 C5275 D5277

128 Number of girls enrolled for only Switzerland Russia and Japantour together is what

percent of the boys together enrolled for the same (Rounded off to two digits after

decimal)

A3757 B5729 C6193 D5522

129 What is the total number of students enrolled for all the three tour and number of

girls enrolled for Switzerland and Russia tour together and number of boys enrolled for

Switzerland and Japan tour together

A395 B2415 C385 D390

130 What is the sum of the total number of boys who are enrolled for Switzerland and

the total number of girls who are enrolled for same tour together

A872 B752 C802 D772

SET 35

A radio station surveyed 200 students to determine the types of music they liked There are

three types of music rock music folk music and classical music The survey revealed that 57

percent liked rock music 25 percent liked folk music and 205 percent liked classical music 14

students liked rock music and folk music 15 students liked rock music and classical music 6

students liked only classical music and folk music 90 of them liked only rock music

131 How many of them liked folk music but not rock music

A36 B41 C30 D44

132 How many of them liked any two types of music only

A15 B16 C19 D25

133 How many students did not like any of the three types

A35 B40 C30 D25

134 What is the ratio of who liked rock and classical music together to the ratio of who

liked only folk music

A51 B3110 C316 D125

SET 36

In a shopping mall there are three different varieties of dress materials Cotton Silk and

Chiffon There are 300 customers visited the Shop 50 of customers purchased Cotton

material 40 of customers purchased Chiffon material and 60 of customers purchased Silk

material The customers who purchased any of two dress materials are 90 20 of

customers who purchased Cotton also purchased other two materials The customers who

purchased only Silk material are 20 more than that of who purchased only Chiffon material

30 Customers are purchased only Silk and Chiffon material

135 How many of them purchased only one variety of dress material

A150 B180 C120 D160

136 How many of them purchased at least two types of dress materials

A90 B100 C120 D140

137 What is the percentage of the customers who purchased only Silk material to that of

the customers who purchased all types of dress material

A30043 B30553 C35523 D23333

138 How many of them did not purchase any of the three types of materials

A10 B15 C5 D None

SET 37

In a sports event six teams (A B C D E and F) are competing against each other Matches

are scheduled in two stages Each team plays three matches in stage ndash I and two matches in

Stage ndash II No team plays against the same team more than once in the event No ties are

permitted in any of the matches The observations after the completion of Stage ndash I and

Stage ndash II are as given below

Stage-I

bull One team won all the three matches

bull Two teams lost all the matches

bull D lost to A but won against C and F

bull E lost to B but won against C and F

bull B lost at least one match

bull F did not play against the top team of Stage-I

Stage-II

bull The leader of Stage-I lost the next two matches

bull Of the two teams at the bottom after Stage-I one team won both matches while the

other lost both matches

bull One more team lost both matches in Stage-II

139 The two teams that defeated the leader of Stage-I are

A F amp D B E amp F C B amp D D E amp D

140 The only team(s) that won both matches in Stage-II is (are)

A B B E amp F C A E amp F D B E amp F

141 The teams that won exactly two matches in the event are

A A D amp F B D amp E C E amp F D D amp F

142 The team(s) with the most wins in the event is (are)

A A B A amp C C B amp E D E

SET 38

Two traders Chetan and Michael were involved in the buying and selling of MCS shares

over five trading days At the beginning of the first day the MCS share was priced at ₹100

while at the end of the fifth day it was priced at ₹110 At the end of each day the MCS share

price either went up by ₹10 or else it came down by ₹10 Both Chetan and Michael took

buying and selling decisions at the end of each trading day The beginning price of MCS share

on a given day was the same as the ending price of the previous day Chetan and Michael

started with the same number of shares and amount of cash and had enough of both

Below are some additional facts about how Chetan and Michael traded over the five trading

days

middot Each day if the price went up Chetan sold 10 shares of MCS at the closing price On the

other hand each day if the price went down he bought 10 shares at the closing price

middot If on any day the closing price was above ₹110 then Michael sold 10 shares of MCS

while if it was below ₹90 he bought 10 shares all at the closing price

143 If Chetan sold 10 shares of MCS on three consecutive days while Michael sold 10

shares only once during the five days what was the price of MCS at the end of day 3

A ₹ 90 B ₹100 C ₹110 D ₹120

144 If Chetan ended up with ₹1300 more cash than Michael at the end of day 5 what

was the price of MCS share at the end of day 4

A ₹90 B ₹100 C ₹110 D₹120

145 If Michael ended up with 20 more shares than Chetan at the end of day 5 what was

the price of the share at the end of day 3

A₹90 B ₹100 C ₹110 D ₹120

146 If Michael ended up with ₹100 less cash than Chetan at the end of day 5 what was

the difference in the number of shares possessed by Michael and Chetan (at the end of day

5)

A Michael had 10 less shares than Chetan

B Michael had 10 more shares than Chetan

C Chetan had 10 more shares than Michael

D Both had the same number of shares

SET 39

Bankatlal acted as a judge for the beauty contest There were four participants viz Ms

Andhra Pradesh Ms Uttar Pradesh Ms West Bengal and Ms Maharashtra Mrs Bankatlal

who was very anxious about the result asked him about it as soon as he was back home

Bankatlal just told that the one who was wearing the yellow saree won the contest When

Mrs Bankatlal pressed for further details he elaborated as follows

I All of them were sitting in a row

II All of them wore sarees of different colors viz Green Yellow White Red

III There was only one runner up and she was sitting beside Ms Maharashtra

IV The runner up was wearing the Green saree

V Ms West Bengal was not sitting at the ends and was not a runner up

VI The winner and the runner up are not sitting adjacent to each other

VII Ms Maharashtra was wearing white saree

VIII Ms Andhra Pradesh was not wearing the Green saree

IX Participants wearing Yellow saree and White saree were at the ends

147 Who wore the Red saree A Ms Andhra Pradesh B Ms West Bengal C Ms Uttar Pradesh D Ms Maharashtra

148 Ms West Bengal was sitting adjacent to A Ms Andhra Pradesh and Ms Maharashtra B Ms Uttar Pradesh and Ms Maharashta C Ms Andhra Pradesh and Ms Uttar Pradesh D Ms Uttar Pradesh only

149 Which saree was worn by Ms Andhra Pradesh A Yellow B Red C Green D White

150 Who was the runner up

A Ms Andhra Pradesh B Ms West Bengal

C Ms Uttar Pradesh D Ms Maharashta

SET 40

Ghosh Babu goes to a casino in Kay - Kay islands where he comes across an interesting game

of cards The visitor playing the game is called the player amp the clubman is called the dealer

The rules of the game are as follows First the player picks the card This card is called the

base card amp the number on the face of the card is called the base value of the card Ace

King Queen amp Jack all have base value of 10 The dealer pays the player same number of

rupees as the base value of the card Now the dealer picks a card amp This is called the top

card If topcard is of the same suite then the player pays the dealer double the amount of

base value If it is of the same colour but not the same suite then the player pays the dealer

the amount of a bse value If it is of different colour then the dealer pays the player the

amount of base value Ghosh Babu plays the game 4 times First time he draws 8 of club amp

the dealer draws jack of club Second time he draws 10 of hearts amp the dealer draws 2 of

spade Third time he draws 6 of diamond amp the dealer draws 1 of heart Finally Ghosh Babu

draws 8 of spade and the dealer draws ace of the spade

151 If Ghosh Babu should leave the game when his profit is maximum then what is that

profit

A 12 B 18 C 20 D None of these

152 If Ghosh Babu did not have to borrow any money from anyone then what is the

minimum amount that he could have started with

A 16 B 24 C 8 D None of these

153 If Ghosh Babu is left with 100 rupees now what is the amount that he had started

with

A 120 B 104 C 96 D None of these

SET 41

Twenty one participants from four continents (Africa Americas Australasia and Europe)

attended a United Nations conference Each participant was an expert in one of four fields

labour health population studies and refugee relocation The following five facts about the

participants are given

I The number of labour experts in the camp was exactly half the number of experts in each

of the three other categories

II Africa did not send any labour expert Otherwise every continent including Africa sent at

least one expert for each category

III None of the continents sent more than three experts in any category

IV If there had been one less Australasian expert then the America would have had twice

many experts as each of the other continents

V Mike and Alfanso are leading experts of population studies who attended the conference

They are from Australasia

154 Which of the following numbers cannot be determined from the information given

A Number of labour experts from the Americas

B Number of health experts from Europe

C Number of health experts from Australasia

D Number of experts in refugee relocation from Africa

155 Which of the following combinations is NOT possible

A 2 experts in population studies from the Americas and 2 health experts from Africa

attended the conference

B 2 experts in population studies from the Americas and 1 health expert from Africa

attended the conference

C 3 experts in refugee relocation from the Americas and 1 health expert from Africa

attended the conference

D Africa and America each had 1 expert in population studies attending the conference

156 If Ramos is the lone America expert in population studies which of the following is

NOT true about the numbers of experts in the conference from the four continents

A There is one expert in health from Africa

B There is one expert in refugee relocation from Africa

C There are two experts in health from the Americas

D There are three experts in refugee relocation from the Americas

157 Alex an American expert in refugee relocation was the first keynote speaker in the

conference What can be inferred about the number of American experts in refugee

relocation in the conference excluding Alex (i) At least one (ii) Atmost two

A Only (i) and not (ii) B Only (ii) and not (i)

C Both (i) and (ii) D Neither (i) nor (ii)

SET 42

Help Distress (HD) is an NGO involved in providing assistance to people suffering from

natural disasters Currently it has 37 volunteers They are involved in three projects

Tsunami Relief (TR) in Tamil Nadu Flood Relief (FR) in Maharashtra and Earthquake Relief

(ER) in Gujarat Each volunteer working with Help Distress has to be involved in at least one

relief work project

bull A Maximum number of volunteers are involved in the FR project Among them the

number of volunteers involved in FR project alone is equal to the volunteers having

additional involvement in the ER project

bull The number of volunteers involved in the ER project alone is double the number of

volunteers involved in all the three projects

bull 17 volunteers are involved in the TR project

bull The number of volunteers involved in the TR project alone is one less than the number of

volunteers involved in ER project alone

bull Ten volunteers involved in the TR project are also involved in at least one more project

158 Based on the information given above the minimum number of volunteers involved

in both FR and TR projects but not in the ER project is

A 1 B 3 C 4 D 5

159 Which of the following additional information would enable to find the exact

number of volunteers involved in various projects

A Twenty volunteers are involved in FR B Four volunteers are involved in all the three projects C Twenty three volunteers are involved in exactly one project D No need for any additional information

160 After some time the volunteers who were involved in all the three projects were

asked to withdraw from one project As a result one of the volunteers opted out of the TR

project and one opted out of the ER project while the remaining ones involved in all the

three projects opted out of the FR project Which of the following statements then

necessarily follows

A The lowest number of volunteers is now in TR project B More volunteers are now in FR project as compared to ER project C More volunteers are now in TR project as compared to ER project D None of the above

161 After the withdrawal of volunteers as indicated in Question 85 some new

volunteers joined the NGO Each one of them was allotted only one project in a manner such

that the number of volunteers working in one project alone for each of the three projects

became identical At that point it was also found that the number of volunteers involved in

FR and ER projects was the same as the number of volunteers involved in TR and ER projects

Which of the projects now has the highest number of volunteers

A ER B FR C TR D Cannot be determined

SET 43

Mathematicians are assigned a number called Erdoumls number (named after the famous

mathematician Paul Erdoumls) Only Paul Erdoumls himself has an Erdoumls number of zero Any

mathematician who has written a research paper with Erdoumls has an Erdoumls number of 1 For

other mathematicians the calculation of hisher Erdoumls number is illustrated below

Suppose that a mathematician X has co-authored papers with several other mathematicians

From among them mathematician Y has the smallest Erdoumls number Let the Erdoumls number

of Y be y Then X has an Erdoumls number of y + 1 Hence any mathematician with no co-

authorship chain connected to Erdoumls has an Erdoumls number of infinity In a seven day long

mini-conference organized in memory of Paul Erdoumls a close group of eight mathematicians

call them A B C D E F G and H discussed some research problems At the beginning of the

conference A was the only participant who had an infinite Erdoumls number Nobody had an

Erdoumls number less than that of F

bull On the third day of the conference F co-authored a paper jointly with A and C This

reduced the average Erdoumls number of the group of eight mathematicians to 3 The Erdoumls

numbers of B D E G and H remained unchanged with the writing of this paper Further no

other co-authorship among any three members would have reduced the average Erdoumls

number of the group of eight to as low as 3

bull At the end of the third day five members of this group had identical Erdoumls numbers while

the other three had Erdoumls numbers distinct from each other

bull On the fifth day E co-authored a paper with F which reduced the grouprsquos average Erdoumls

number by 05 The Erdoumls numbers of the remaining six were unchanged with the writing of

this paper

bull No other paper was written during the conference

162 The Erdoumls number of C at the end of the conference was

A 1 B 2 C 3 D 4

163 The Erdoumls number of E at the beginning of the conference was

A 5 B 6 C 7 D 8

164 How many participants had the same Erdoumls number at the beginning of the

conference

A 2 B 3 C 4 D 5

SET 44

K L M N P Q R S U and W are the only ten members in a department There is a proposal

to form a team from within the members of the department subject to the following

conditions

bull A team must include exactly one among P R and S

bull A team must include either M or Q but not both

bull If a team includes K then it must also include L and vice versa

bull If a team includes one among S U and W then it must also include the other two

bull L and N cannot be members of the same team

bull L and U cannot be members of the same team

The size of a team is defined as the number of members in the team

165 Who can be a member of a team of size 5

A K B L C M D P

166 Who cannot be a member of a team of size 3

A L B M C N D P

167 What could be the size of a team that includes K

A 2 or 3 B 2 or 4 C 3 or 4 D Only 4

168 In how many ways a team can be constituted so that the team includes N

A 2 B 3 C 4 D 6

SET 45

(i) There are three houses on each side of the road

(ii) These six houses are labeled as P Q R S T and U

(iii) The houses are of different colours namely Red Blue Green Orange Yellow and

White

(iv) The houses are of different heights

(v) T the tallest house is exactly opposite to the Red coloured house

(vi) The shortest house is exactly opposite to the Green coloured house

(vii) U the Orange coloured house is located between P and S

(viii) R the Yellow coloured house is exactly opposite to P

(ix) Q the Green coloured house is exactly opposite to U

(x) P the White coloured house is taller than R but shorter than S and Q

169 Which is the second tallest house

A P B S C Q D cannot be determined

170 What is the colour of the house diagonally opposite to the Yellow coloured house

A White B Blue C Green D Red

171 What is the colour of the tallest house

A Red B Blue C Green D Yellow

SET 46

A leading socialite decided to organise a dinner and invited a few of her friends Only the

host and the hostess were sitting at the opposite ends of a rectangular table with three

persons along each side The pre-requisite for the seating arrangement was that each person

must be seated such that atleast on one side it has a person of opposite sex Maqbool is

opposite Shobha who is not the hostess Ratan has a woman on his right and is sitting

opposite a woman Monisha is sitting to the hostessrsquos right next to Dhirubhai One person is

seated between Madhuri and Urmila who is not the hostess The men were Maqbool Ratan

Dhirubhai and Jackie while the women were Madhuri Urmila Shobha and Monisha

172 The eighth person present Jackie must be I the host II seated to Shobarsquos right III

seated opposite Urmila

A I only B III only C I and II only D II and III only

173 Which of the following persons is definitely not seated next to a person of the same

sex

A Maqbool B Madhuri C Jackie D Shobha

174 If Ratan would have exchanged seats with a person four places to his left which of

the following would have been true after the exchange

I No one was seated between two persons of the opposite sex (eg no man was seated

between two women)

II One side of the table consisted entirely of persons of the same sex

III Either the host or the hostess changed seats

A I only B II only C I and II only D II and III only

175 If each person is placed directly opposite his or her spouse which of the following

pairs must be married

A Ratan and Monisha B Madhuri and Dhirubhai

C Urmila and Jackie D Ratan and Madhuri

SET 47

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

and Japan One-fifth of the boys are enrolled for only Switzerland tour Twenty percent of

the girls are enrolled for only Japan tour Ten percent of the boys are enrolled for only Russia

tour Twenty four percent of the girls are enrolled for both Russia and Switzerland tour

together The number of girls enrolled for only Russia tour is two hundred percent of the

boys enrolled in the same One-thirteenth of the boys are enrolled for all the three tour

together The respective ratio of boys enrolled for Switzerland and Japan tour together to

the girls enrolled for the same is 2 1 respectively Ten percent of the girls are enrolled for

only Switzerland tour whereas eight percent of the girls are enrolled for both Switzerland

and Japan tour together The remaining girls are enrolled for all the three tour together The

number of boys enrolled for Russia and Switzerland tour together is fifty percent of the

number of girls enrolled for the same The remaining boys are enrolled for only Japan tour

127 What is the respective ratio of the number of girls enrolled for only Japan tour and

number of boys enrolled for Switzerland tour together to the number of boys enrolled for

the Japan tour and number of girls enrolled for Switzerland tour together

A7752 B7552 C5275 D5277

128 Number of girls enrolled for only Switzerland Russia and Japantour together is what

percent of the boys together enrolled for the same (Rounded off to two digits after

decimal)

A3757 B5729 C6193 D5522

129 What is the total number of students enrolled for all the three tour and number of

girls enrolled for Switzerland and Russia tour together and number of boys enrolled for

Switzerland and Japan tour together

A395 B2415 C385 D390

130 What is the sum of the total number of boys who are enrolled for Switzerland and

the total number of girls who are enrolled for same tour together

A872 B752 C802 D772

SET 35

A radio station surveyed 200 students to determine the types of music they liked There are

three types of music rock music folk music and classical music The survey revealed that 57

percent liked rock music 25 percent liked folk music and 205 percent liked classical music 14

students liked rock music and folk music 15 students liked rock music and classical music 6

students liked only classical music and folk music 90 of them liked only rock music

131 How many of them liked folk music but not rock music

A36 B41 C30 D44

132 How many of them liked any two types of music only

A15 B16 C19 D25

133 How many students did not like any of the three types

A35 B40 C30 D25

134 What is the ratio of who liked rock and classical music together to the ratio of who

liked only folk music

A51 B3110 C316 D125

SET 36

In a shopping mall there are three different varieties of dress materials Cotton Silk and

Chiffon There are 300 customers visited the Shop 50 of customers purchased Cotton

material 40 of customers purchased Chiffon material and 60 of customers purchased Silk

material The customers who purchased any of two dress materials are 90 20 of

customers who purchased Cotton also purchased other two materials The customers who

purchased only Silk material are 20 more than that of who purchased only Chiffon material

30 Customers are purchased only Silk and Chiffon material

135 How many of them purchased only one variety of dress material

A150 B180 C120 D160

136 How many of them purchased at least two types of dress materials

A90 B100 C120 D140

137 What is the percentage of the customers who purchased only Silk material to that of

the customers who purchased all types of dress material

A30043 B30553 C35523 D23333

138 How many of them did not purchase any of the three types of materials

A10 B15 C5 D None

SET 37

In a sports event six teams (A B C D E and F) are competing against each other Matches

are scheduled in two stages Each team plays three matches in stage ndash I and two matches in

Stage ndash II No team plays against the same team more than once in the event No ties are

permitted in any of the matches The observations after the completion of Stage ndash I and

Stage ndash II are as given below

Stage-I

bull One team won all the three matches

bull Two teams lost all the matches

bull D lost to A but won against C and F

bull E lost to B but won against C and F

bull B lost at least one match

bull F did not play against the top team of Stage-I

Stage-II

bull The leader of Stage-I lost the next two matches

bull Of the two teams at the bottom after Stage-I one team won both matches while the

other lost both matches

bull One more team lost both matches in Stage-II

139 The two teams that defeated the leader of Stage-I are

A F amp D B E amp F C B amp D D E amp D

140 The only team(s) that won both matches in Stage-II is (are)

A B B E amp F C A E amp F D B E amp F

141 The teams that won exactly two matches in the event are

A A D amp F B D amp E C E amp F D D amp F

142 The team(s) with the most wins in the event is (are)

A A B A amp C C B amp E D E

SET 38

Two traders Chetan and Michael were involved in the buying and selling of MCS shares

over five trading days At the beginning of the first day the MCS share was priced at ₹100

while at the end of the fifth day it was priced at ₹110 At the end of each day the MCS share

price either went up by ₹10 or else it came down by ₹10 Both Chetan and Michael took

buying and selling decisions at the end of each trading day The beginning price of MCS share

on a given day was the same as the ending price of the previous day Chetan and Michael

started with the same number of shares and amount of cash and had enough of both

Below are some additional facts about how Chetan and Michael traded over the five trading

days

middot Each day if the price went up Chetan sold 10 shares of MCS at the closing price On the

other hand each day if the price went down he bought 10 shares at the closing price

middot If on any day the closing price was above ₹110 then Michael sold 10 shares of MCS

while if it was below ₹90 he bought 10 shares all at the closing price

143 If Chetan sold 10 shares of MCS on three consecutive days while Michael sold 10

shares only once during the five days what was the price of MCS at the end of day 3

A ₹ 90 B ₹100 C ₹110 D ₹120

144 If Chetan ended up with ₹1300 more cash than Michael at the end of day 5 what

was the price of MCS share at the end of day 4

A ₹90 B ₹100 C ₹110 D₹120

145 If Michael ended up with 20 more shares than Chetan at the end of day 5 what was

the price of the share at the end of day 3

A₹90 B ₹100 C ₹110 D ₹120

146 If Michael ended up with ₹100 less cash than Chetan at the end of day 5 what was

the difference in the number of shares possessed by Michael and Chetan (at the end of day

5)

A Michael had 10 less shares than Chetan

B Michael had 10 more shares than Chetan

C Chetan had 10 more shares than Michael

D Both had the same number of shares

SET 39

Bankatlal acted as a judge for the beauty contest There were four participants viz Ms

Andhra Pradesh Ms Uttar Pradesh Ms West Bengal and Ms Maharashtra Mrs Bankatlal

who was very anxious about the result asked him about it as soon as he was back home

Bankatlal just told that the one who was wearing the yellow saree won the contest When

Mrs Bankatlal pressed for further details he elaborated as follows

I All of them were sitting in a row

II All of them wore sarees of different colors viz Green Yellow White Red

III There was only one runner up and she was sitting beside Ms Maharashtra

IV The runner up was wearing the Green saree

V Ms West Bengal was not sitting at the ends and was not a runner up

VI The winner and the runner up are not sitting adjacent to each other

VII Ms Maharashtra was wearing white saree

VIII Ms Andhra Pradesh was not wearing the Green saree

IX Participants wearing Yellow saree and White saree were at the ends

147 Who wore the Red saree A Ms Andhra Pradesh B Ms West Bengal C Ms Uttar Pradesh D Ms Maharashtra

148 Ms West Bengal was sitting adjacent to A Ms Andhra Pradesh and Ms Maharashtra B Ms Uttar Pradesh and Ms Maharashta C Ms Andhra Pradesh and Ms Uttar Pradesh D Ms Uttar Pradesh only

149 Which saree was worn by Ms Andhra Pradesh A Yellow B Red C Green D White

150 Who was the runner up

A Ms Andhra Pradesh B Ms West Bengal

C Ms Uttar Pradesh D Ms Maharashta

SET 40

Ghosh Babu goes to a casino in Kay - Kay islands where he comes across an interesting game

of cards The visitor playing the game is called the player amp the clubman is called the dealer

The rules of the game are as follows First the player picks the card This card is called the

base card amp the number on the face of the card is called the base value of the card Ace

King Queen amp Jack all have base value of 10 The dealer pays the player same number of

rupees as the base value of the card Now the dealer picks a card amp This is called the top

card If topcard is of the same suite then the player pays the dealer double the amount of

base value If it is of the same colour but not the same suite then the player pays the dealer

the amount of a bse value If it is of different colour then the dealer pays the player the

amount of base value Ghosh Babu plays the game 4 times First time he draws 8 of club amp

the dealer draws jack of club Second time he draws 10 of hearts amp the dealer draws 2 of

spade Third time he draws 6 of diamond amp the dealer draws 1 of heart Finally Ghosh Babu

draws 8 of spade and the dealer draws ace of the spade

151 If Ghosh Babu should leave the game when his profit is maximum then what is that

profit

A 12 B 18 C 20 D None of these

152 If Ghosh Babu did not have to borrow any money from anyone then what is the

minimum amount that he could have started with

A 16 B 24 C 8 D None of these

153 If Ghosh Babu is left with 100 rupees now what is the amount that he had started

with

A 120 B 104 C 96 D None of these

SET 41

Twenty one participants from four continents (Africa Americas Australasia and Europe)

attended a United Nations conference Each participant was an expert in one of four fields

labour health population studies and refugee relocation The following five facts about the

participants are given

I The number of labour experts in the camp was exactly half the number of experts in each

of the three other categories

II Africa did not send any labour expert Otherwise every continent including Africa sent at

least one expert for each category

III None of the continents sent more than three experts in any category

IV If there had been one less Australasian expert then the America would have had twice

many experts as each of the other continents

V Mike and Alfanso are leading experts of population studies who attended the conference

They are from Australasia

154 Which of the following numbers cannot be determined from the information given

A Number of labour experts from the Americas

B Number of health experts from Europe

C Number of health experts from Australasia

D Number of experts in refugee relocation from Africa

155 Which of the following combinations is NOT possible

A 2 experts in population studies from the Americas and 2 health experts from Africa

attended the conference

B 2 experts in population studies from the Americas and 1 health expert from Africa

attended the conference

C 3 experts in refugee relocation from the Americas and 1 health expert from Africa

attended the conference

D Africa and America each had 1 expert in population studies attending the conference

156 If Ramos is the lone America expert in population studies which of the following is

NOT true about the numbers of experts in the conference from the four continents

A There is one expert in health from Africa

B There is one expert in refugee relocation from Africa

C There are two experts in health from the Americas

D There are three experts in refugee relocation from the Americas

157 Alex an American expert in refugee relocation was the first keynote speaker in the

conference What can be inferred about the number of American experts in refugee

relocation in the conference excluding Alex (i) At least one (ii) Atmost two

A Only (i) and not (ii) B Only (ii) and not (i)

C Both (i) and (ii) D Neither (i) nor (ii)

SET 42

Help Distress (HD) is an NGO involved in providing assistance to people suffering from

natural disasters Currently it has 37 volunteers They are involved in three projects

Tsunami Relief (TR) in Tamil Nadu Flood Relief (FR) in Maharashtra and Earthquake Relief

(ER) in Gujarat Each volunteer working with Help Distress has to be involved in at least one

relief work project

bull A Maximum number of volunteers are involved in the FR project Among them the

number of volunteers involved in FR project alone is equal to the volunteers having

additional involvement in the ER project

bull The number of volunteers involved in the ER project alone is double the number of

volunteers involved in all the three projects

bull 17 volunteers are involved in the TR project

bull The number of volunteers involved in the TR project alone is one less than the number of

volunteers involved in ER project alone

bull Ten volunteers involved in the TR project are also involved in at least one more project

158 Based on the information given above the minimum number of volunteers involved

in both FR and TR projects but not in the ER project is

A 1 B 3 C 4 D 5

159 Which of the following additional information would enable to find the exact

number of volunteers involved in various projects

A Twenty volunteers are involved in FR B Four volunteers are involved in all the three projects C Twenty three volunteers are involved in exactly one project D No need for any additional information

160 After some time the volunteers who were involved in all the three projects were

asked to withdraw from one project As a result one of the volunteers opted out of the TR

project and one opted out of the ER project while the remaining ones involved in all the

three projects opted out of the FR project Which of the following statements then

necessarily follows

A The lowest number of volunteers is now in TR project B More volunteers are now in FR project as compared to ER project C More volunteers are now in TR project as compared to ER project D None of the above

161 After the withdrawal of volunteers as indicated in Question 85 some new

volunteers joined the NGO Each one of them was allotted only one project in a manner such

that the number of volunteers working in one project alone for each of the three projects

became identical At that point it was also found that the number of volunteers involved in

FR and ER projects was the same as the number of volunteers involved in TR and ER projects

Which of the projects now has the highest number of volunteers

A ER B FR C TR D Cannot be determined

SET 43

Mathematicians are assigned a number called Erdoumls number (named after the famous

mathematician Paul Erdoumls) Only Paul Erdoumls himself has an Erdoumls number of zero Any

mathematician who has written a research paper with Erdoumls has an Erdoumls number of 1 For

other mathematicians the calculation of hisher Erdoumls number is illustrated below

Suppose that a mathematician X has co-authored papers with several other mathematicians

From among them mathematician Y has the smallest Erdoumls number Let the Erdoumls number

of Y be y Then X has an Erdoumls number of y + 1 Hence any mathematician with no co-

authorship chain connected to Erdoumls has an Erdoumls number of infinity In a seven day long

mini-conference organized in memory of Paul Erdoumls a close group of eight mathematicians

call them A B C D E F G and H discussed some research problems At the beginning of the

conference A was the only participant who had an infinite Erdoumls number Nobody had an

Erdoumls number less than that of F

bull On the third day of the conference F co-authored a paper jointly with A and C This

reduced the average Erdoumls number of the group of eight mathematicians to 3 The Erdoumls

numbers of B D E G and H remained unchanged with the writing of this paper Further no

other co-authorship among any three members would have reduced the average Erdoumls

number of the group of eight to as low as 3

bull At the end of the third day five members of this group had identical Erdoumls numbers while

the other three had Erdoumls numbers distinct from each other

bull On the fifth day E co-authored a paper with F which reduced the grouprsquos average Erdoumls

number by 05 The Erdoumls numbers of the remaining six were unchanged with the writing of

this paper

bull No other paper was written during the conference

162 The Erdoumls number of C at the end of the conference was

A 1 B 2 C 3 D 4

163 The Erdoumls number of E at the beginning of the conference was

A 5 B 6 C 7 D 8

164 How many participants had the same Erdoumls number at the beginning of the

conference

A 2 B 3 C 4 D 5

SET 44

K L M N P Q R S U and W are the only ten members in a department There is a proposal

to form a team from within the members of the department subject to the following

conditions

bull A team must include exactly one among P R and S

bull A team must include either M or Q but not both

bull If a team includes K then it must also include L and vice versa

bull If a team includes one among S U and W then it must also include the other two

bull L and N cannot be members of the same team

bull L and U cannot be members of the same team

The size of a team is defined as the number of members in the team

165 Who can be a member of a team of size 5

A K B L C M D P

166 Who cannot be a member of a team of size 3

A L B M C N D P

167 What could be the size of a team that includes K

A 2 or 3 B 2 or 4 C 3 or 4 D Only 4

168 In how many ways a team can be constituted so that the team includes N

A 2 B 3 C 4 D 6

SET 45

(i) There are three houses on each side of the road

(ii) These six houses are labeled as P Q R S T and U

(iii) The houses are of different colours namely Red Blue Green Orange Yellow and

White

(iv) The houses are of different heights

(v) T the tallest house is exactly opposite to the Red coloured house

(vi) The shortest house is exactly opposite to the Green coloured house

(vii) U the Orange coloured house is located between P and S

(viii) R the Yellow coloured house is exactly opposite to P

(ix) Q the Green coloured house is exactly opposite to U

(x) P the White coloured house is taller than R but shorter than S and Q

169 Which is the second tallest house

A P B S C Q D cannot be determined

170 What is the colour of the house diagonally opposite to the Yellow coloured house

A White B Blue C Green D Red

171 What is the colour of the tallest house

A Red B Blue C Green D Yellow

SET 46

A leading socialite decided to organise a dinner and invited a few of her friends Only the

host and the hostess were sitting at the opposite ends of a rectangular table with three

persons along each side The pre-requisite for the seating arrangement was that each person

must be seated such that atleast on one side it has a person of opposite sex Maqbool is

opposite Shobha who is not the hostess Ratan has a woman on his right and is sitting

opposite a woman Monisha is sitting to the hostessrsquos right next to Dhirubhai One person is

seated between Madhuri and Urmila who is not the hostess The men were Maqbool Ratan

Dhirubhai and Jackie while the women were Madhuri Urmila Shobha and Monisha

172 The eighth person present Jackie must be I the host II seated to Shobarsquos right III

seated opposite Urmila

A I only B III only C I and II only D II and III only

173 Which of the following persons is definitely not seated next to a person of the same

sex

A Maqbool B Madhuri C Jackie D Shobha

174 If Ratan would have exchanged seats with a person four places to his left which of

the following would have been true after the exchange

I No one was seated between two persons of the opposite sex (eg no man was seated

between two women)

II One side of the table consisted entirely of persons of the same sex

III Either the host or the hostess changed seats

A I only B II only C I and II only D II and III only

175 If each person is placed directly opposite his or her spouse which of the following

pairs must be married

A Ratan and Monisha B Madhuri and Dhirubhai

C Urmila and Jackie D Ratan and Madhuri

SET 47

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

students liked rock music and folk music 15 students liked rock music and classical music 6

students liked only classical music and folk music 90 of them liked only rock music

131 How many of them liked folk music but not rock music

A36 B41 C30 D44

132 How many of them liked any two types of music only

A15 B16 C19 D25

133 How many students did not like any of the three types

A35 B40 C30 D25

134 What is the ratio of who liked rock and classical music together to the ratio of who

liked only folk music

A51 B3110 C316 D125

SET 36

In a shopping mall there are three different varieties of dress materials Cotton Silk and

Chiffon There are 300 customers visited the Shop 50 of customers purchased Cotton

material 40 of customers purchased Chiffon material and 60 of customers purchased Silk

material The customers who purchased any of two dress materials are 90 20 of

customers who purchased Cotton also purchased other two materials The customers who

purchased only Silk material are 20 more than that of who purchased only Chiffon material

30 Customers are purchased only Silk and Chiffon material

135 How many of them purchased only one variety of dress material

A150 B180 C120 D160

136 How many of them purchased at least two types of dress materials

A90 B100 C120 D140

137 What is the percentage of the customers who purchased only Silk material to that of

the customers who purchased all types of dress material

A30043 B30553 C35523 D23333

138 How many of them did not purchase any of the three types of materials

A10 B15 C5 D None

SET 37

In a sports event six teams (A B C D E and F) are competing against each other Matches

are scheduled in two stages Each team plays three matches in stage ndash I and two matches in

Stage ndash II No team plays against the same team more than once in the event No ties are

permitted in any of the matches The observations after the completion of Stage ndash I and

Stage ndash II are as given below

Stage-I

bull One team won all the three matches

bull Two teams lost all the matches

bull D lost to A but won against C and F

bull E lost to B but won against C and F

bull B lost at least one match

bull F did not play against the top team of Stage-I

Stage-II

bull The leader of Stage-I lost the next two matches

bull Of the two teams at the bottom after Stage-I one team won both matches while the

other lost both matches

bull One more team lost both matches in Stage-II

139 The two teams that defeated the leader of Stage-I are

A F amp D B E amp F C B amp D D E amp D

140 The only team(s) that won both matches in Stage-II is (are)

A B B E amp F C A E amp F D B E amp F

141 The teams that won exactly two matches in the event are

A A D amp F B D amp E C E amp F D D amp F

142 The team(s) with the most wins in the event is (are)

A A B A amp C C B amp E D E

SET 38

Two traders Chetan and Michael were involved in the buying and selling of MCS shares

over five trading days At the beginning of the first day the MCS share was priced at ₹100

while at the end of the fifth day it was priced at ₹110 At the end of each day the MCS share

price either went up by ₹10 or else it came down by ₹10 Both Chetan and Michael took

buying and selling decisions at the end of each trading day The beginning price of MCS share

on a given day was the same as the ending price of the previous day Chetan and Michael

started with the same number of shares and amount of cash and had enough of both

Below are some additional facts about how Chetan and Michael traded over the five trading

days

middot Each day if the price went up Chetan sold 10 shares of MCS at the closing price On the

other hand each day if the price went down he bought 10 shares at the closing price

middot If on any day the closing price was above ₹110 then Michael sold 10 shares of MCS

while if it was below ₹90 he bought 10 shares all at the closing price

143 If Chetan sold 10 shares of MCS on three consecutive days while Michael sold 10

shares only once during the five days what was the price of MCS at the end of day 3

A ₹ 90 B ₹100 C ₹110 D ₹120

144 If Chetan ended up with ₹1300 more cash than Michael at the end of day 5 what

was the price of MCS share at the end of day 4

A ₹90 B ₹100 C ₹110 D₹120

145 If Michael ended up with 20 more shares than Chetan at the end of day 5 what was

the price of the share at the end of day 3

A₹90 B ₹100 C ₹110 D ₹120

146 If Michael ended up with ₹100 less cash than Chetan at the end of day 5 what was

the difference in the number of shares possessed by Michael and Chetan (at the end of day

5)

A Michael had 10 less shares than Chetan

B Michael had 10 more shares than Chetan

C Chetan had 10 more shares than Michael

D Both had the same number of shares

SET 39

Bankatlal acted as a judge for the beauty contest There were four participants viz Ms

Andhra Pradesh Ms Uttar Pradesh Ms West Bengal and Ms Maharashtra Mrs Bankatlal

who was very anxious about the result asked him about it as soon as he was back home

Bankatlal just told that the one who was wearing the yellow saree won the contest When

Mrs Bankatlal pressed for further details he elaborated as follows

I All of them were sitting in a row

II All of them wore sarees of different colors viz Green Yellow White Red

III There was only one runner up and she was sitting beside Ms Maharashtra

IV The runner up was wearing the Green saree

V Ms West Bengal was not sitting at the ends and was not a runner up

VI The winner and the runner up are not sitting adjacent to each other

VII Ms Maharashtra was wearing white saree

VIII Ms Andhra Pradesh was not wearing the Green saree

IX Participants wearing Yellow saree and White saree were at the ends

147 Who wore the Red saree A Ms Andhra Pradesh B Ms West Bengal C Ms Uttar Pradesh D Ms Maharashtra

148 Ms West Bengal was sitting adjacent to A Ms Andhra Pradesh and Ms Maharashtra B Ms Uttar Pradesh and Ms Maharashta C Ms Andhra Pradesh and Ms Uttar Pradesh D Ms Uttar Pradesh only

149 Which saree was worn by Ms Andhra Pradesh A Yellow B Red C Green D White

150 Who was the runner up

A Ms Andhra Pradesh B Ms West Bengal

C Ms Uttar Pradesh D Ms Maharashta

SET 40

Ghosh Babu goes to a casino in Kay - Kay islands where he comes across an interesting game

of cards The visitor playing the game is called the player amp the clubman is called the dealer

The rules of the game are as follows First the player picks the card This card is called the

base card amp the number on the face of the card is called the base value of the card Ace

King Queen amp Jack all have base value of 10 The dealer pays the player same number of

rupees as the base value of the card Now the dealer picks a card amp This is called the top

card If topcard is of the same suite then the player pays the dealer double the amount of

base value If it is of the same colour but not the same suite then the player pays the dealer

the amount of a bse value If it is of different colour then the dealer pays the player the

amount of base value Ghosh Babu plays the game 4 times First time he draws 8 of club amp

the dealer draws jack of club Second time he draws 10 of hearts amp the dealer draws 2 of

spade Third time he draws 6 of diamond amp the dealer draws 1 of heart Finally Ghosh Babu

draws 8 of spade and the dealer draws ace of the spade

151 If Ghosh Babu should leave the game when his profit is maximum then what is that

profit

A 12 B 18 C 20 D None of these

152 If Ghosh Babu did not have to borrow any money from anyone then what is the

minimum amount that he could have started with

A 16 B 24 C 8 D None of these

153 If Ghosh Babu is left with 100 rupees now what is the amount that he had started

with

A 120 B 104 C 96 D None of these

SET 41

Twenty one participants from four continents (Africa Americas Australasia and Europe)

attended a United Nations conference Each participant was an expert in one of four fields

labour health population studies and refugee relocation The following five facts about the

participants are given

I The number of labour experts in the camp was exactly half the number of experts in each

of the three other categories

II Africa did not send any labour expert Otherwise every continent including Africa sent at

least one expert for each category

III None of the continents sent more than three experts in any category

IV If there had been one less Australasian expert then the America would have had twice

many experts as each of the other continents

V Mike and Alfanso are leading experts of population studies who attended the conference

They are from Australasia

154 Which of the following numbers cannot be determined from the information given

A Number of labour experts from the Americas

B Number of health experts from Europe

C Number of health experts from Australasia

D Number of experts in refugee relocation from Africa

155 Which of the following combinations is NOT possible

A 2 experts in population studies from the Americas and 2 health experts from Africa

attended the conference

B 2 experts in population studies from the Americas and 1 health expert from Africa

attended the conference

C 3 experts in refugee relocation from the Americas and 1 health expert from Africa

attended the conference

D Africa and America each had 1 expert in population studies attending the conference

156 If Ramos is the lone America expert in population studies which of the following is

NOT true about the numbers of experts in the conference from the four continents

A There is one expert in health from Africa

B There is one expert in refugee relocation from Africa

C There are two experts in health from the Americas

D There are three experts in refugee relocation from the Americas

157 Alex an American expert in refugee relocation was the first keynote speaker in the

conference What can be inferred about the number of American experts in refugee

relocation in the conference excluding Alex (i) At least one (ii) Atmost two

A Only (i) and not (ii) B Only (ii) and not (i)

C Both (i) and (ii) D Neither (i) nor (ii)

SET 42

Help Distress (HD) is an NGO involved in providing assistance to people suffering from

natural disasters Currently it has 37 volunteers They are involved in three projects

Tsunami Relief (TR) in Tamil Nadu Flood Relief (FR) in Maharashtra and Earthquake Relief

(ER) in Gujarat Each volunteer working with Help Distress has to be involved in at least one

relief work project

bull A Maximum number of volunteers are involved in the FR project Among them the

number of volunteers involved in FR project alone is equal to the volunteers having

additional involvement in the ER project

bull The number of volunteers involved in the ER project alone is double the number of

volunteers involved in all the three projects

bull 17 volunteers are involved in the TR project

bull The number of volunteers involved in the TR project alone is one less than the number of

volunteers involved in ER project alone

bull Ten volunteers involved in the TR project are also involved in at least one more project

158 Based on the information given above the minimum number of volunteers involved

in both FR and TR projects but not in the ER project is

A 1 B 3 C 4 D 5

159 Which of the following additional information would enable to find the exact

number of volunteers involved in various projects

A Twenty volunteers are involved in FR B Four volunteers are involved in all the three projects C Twenty three volunteers are involved in exactly one project D No need for any additional information

160 After some time the volunteers who were involved in all the three projects were

asked to withdraw from one project As a result one of the volunteers opted out of the TR

project and one opted out of the ER project while the remaining ones involved in all the

three projects opted out of the FR project Which of the following statements then

necessarily follows

A The lowest number of volunteers is now in TR project B More volunteers are now in FR project as compared to ER project C More volunteers are now in TR project as compared to ER project D None of the above

161 After the withdrawal of volunteers as indicated in Question 85 some new

volunteers joined the NGO Each one of them was allotted only one project in a manner such

that the number of volunteers working in one project alone for each of the three projects

became identical At that point it was also found that the number of volunteers involved in

FR and ER projects was the same as the number of volunteers involved in TR and ER projects

Which of the projects now has the highest number of volunteers

A ER B FR C TR D Cannot be determined

SET 43

Mathematicians are assigned a number called Erdoumls number (named after the famous

mathematician Paul Erdoumls) Only Paul Erdoumls himself has an Erdoumls number of zero Any

mathematician who has written a research paper with Erdoumls has an Erdoumls number of 1 For

other mathematicians the calculation of hisher Erdoumls number is illustrated below

Suppose that a mathematician X has co-authored papers with several other mathematicians

From among them mathematician Y has the smallest Erdoumls number Let the Erdoumls number

of Y be y Then X has an Erdoumls number of y + 1 Hence any mathematician with no co-

authorship chain connected to Erdoumls has an Erdoumls number of infinity In a seven day long

mini-conference organized in memory of Paul Erdoumls a close group of eight mathematicians

call them A B C D E F G and H discussed some research problems At the beginning of the

conference A was the only participant who had an infinite Erdoumls number Nobody had an

Erdoumls number less than that of F

bull On the third day of the conference F co-authored a paper jointly with A and C This

reduced the average Erdoumls number of the group of eight mathematicians to 3 The Erdoumls

numbers of B D E G and H remained unchanged with the writing of this paper Further no

other co-authorship among any three members would have reduced the average Erdoumls

number of the group of eight to as low as 3

bull At the end of the third day five members of this group had identical Erdoumls numbers while

the other three had Erdoumls numbers distinct from each other

bull On the fifth day E co-authored a paper with F which reduced the grouprsquos average Erdoumls

number by 05 The Erdoumls numbers of the remaining six were unchanged with the writing of

this paper

bull No other paper was written during the conference

162 The Erdoumls number of C at the end of the conference was

A 1 B 2 C 3 D 4

163 The Erdoumls number of E at the beginning of the conference was

A 5 B 6 C 7 D 8

164 How many participants had the same Erdoumls number at the beginning of the

conference

A 2 B 3 C 4 D 5

SET 44

K L M N P Q R S U and W are the only ten members in a department There is a proposal

to form a team from within the members of the department subject to the following

conditions

bull A team must include exactly one among P R and S

bull A team must include either M or Q but not both

bull If a team includes K then it must also include L and vice versa

bull If a team includes one among S U and W then it must also include the other two

bull L and N cannot be members of the same team

bull L and U cannot be members of the same team

The size of a team is defined as the number of members in the team

165 Who can be a member of a team of size 5

A K B L C M D P

166 Who cannot be a member of a team of size 3

A L B M C N D P

167 What could be the size of a team that includes K

A 2 or 3 B 2 or 4 C 3 or 4 D Only 4

168 In how many ways a team can be constituted so that the team includes N

A 2 B 3 C 4 D 6

SET 45

(i) There are three houses on each side of the road

(ii) These six houses are labeled as P Q R S T and U

(iii) The houses are of different colours namely Red Blue Green Orange Yellow and

White

(iv) The houses are of different heights

(v) T the tallest house is exactly opposite to the Red coloured house

(vi) The shortest house is exactly opposite to the Green coloured house

(vii) U the Orange coloured house is located between P and S

(viii) R the Yellow coloured house is exactly opposite to P

(ix) Q the Green coloured house is exactly opposite to U

(x) P the White coloured house is taller than R but shorter than S and Q

169 Which is the second tallest house

A P B S C Q D cannot be determined

170 What is the colour of the house diagonally opposite to the Yellow coloured house

A White B Blue C Green D Red

171 What is the colour of the tallest house

A Red B Blue C Green D Yellow

SET 46

A leading socialite decided to organise a dinner and invited a few of her friends Only the

host and the hostess were sitting at the opposite ends of a rectangular table with three

persons along each side The pre-requisite for the seating arrangement was that each person

must be seated such that atleast on one side it has a person of opposite sex Maqbool is

opposite Shobha who is not the hostess Ratan has a woman on his right and is sitting

opposite a woman Monisha is sitting to the hostessrsquos right next to Dhirubhai One person is

seated between Madhuri and Urmila who is not the hostess The men were Maqbool Ratan

Dhirubhai and Jackie while the women were Madhuri Urmila Shobha and Monisha

172 The eighth person present Jackie must be I the host II seated to Shobarsquos right III

seated opposite Urmila

A I only B III only C I and II only D II and III only

173 Which of the following persons is definitely not seated next to a person of the same

sex

A Maqbool B Madhuri C Jackie D Shobha

174 If Ratan would have exchanged seats with a person four places to his left which of

the following would have been true after the exchange

I No one was seated between two persons of the opposite sex (eg no man was seated

between two women)

II One side of the table consisted entirely of persons of the same sex

III Either the host or the hostess changed seats

A I only B II only C I and II only D II and III only

175 If each person is placed directly opposite his or her spouse which of the following

pairs must be married

A Ratan and Monisha B Madhuri and Dhirubhai

C Urmila and Jackie D Ratan and Madhuri

SET 47

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

SET 37

In a sports event six teams (A B C D E and F) are competing against each other Matches

are scheduled in two stages Each team plays three matches in stage ndash I and two matches in

Stage ndash II No team plays against the same team more than once in the event No ties are

permitted in any of the matches The observations after the completion of Stage ndash I and

Stage ndash II are as given below

Stage-I

bull One team won all the three matches

bull Two teams lost all the matches

bull D lost to A but won against C and F

bull E lost to B but won against C and F

bull B lost at least one match

bull F did not play against the top team of Stage-I

Stage-II

bull The leader of Stage-I lost the next two matches

bull Of the two teams at the bottom after Stage-I one team won both matches while the

other lost both matches

bull One more team lost both matches in Stage-II

139 The two teams that defeated the leader of Stage-I are

A F amp D B E amp F C B amp D D E amp D

140 The only team(s) that won both matches in Stage-II is (are)

A B B E amp F C A E amp F D B E amp F

141 The teams that won exactly two matches in the event are

A A D amp F B D amp E C E amp F D D amp F

142 The team(s) with the most wins in the event is (are)

A A B A amp C C B amp E D E

SET 38

Two traders Chetan and Michael were involved in the buying and selling of MCS shares

over five trading days At the beginning of the first day the MCS share was priced at ₹100

while at the end of the fifth day it was priced at ₹110 At the end of each day the MCS share

price either went up by ₹10 or else it came down by ₹10 Both Chetan and Michael took

buying and selling decisions at the end of each trading day The beginning price of MCS share

on a given day was the same as the ending price of the previous day Chetan and Michael

started with the same number of shares and amount of cash and had enough of both

Below are some additional facts about how Chetan and Michael traded over the five trading

days

middot Each day if the price went up Chetan sold 10 shares of MCS at the closing price On the

other hand each day if the price went down he bought 10 shares at the closing price

middot If on any day the closing price was above ₹110 then Michael sold 10 shares of MCS

while if it was below ₹90 he bought 10 shares all at the closing price

143 If Chetan sold 10 shares of MCS on three consecutive days while Michael sold 10

shares only once during the five days what was the price of MCS at the end of day 3

A ₹ 90 B ₹100 C ₹110 D ₹120

144 If Chetan ended up with ₹1300 more cash than Michael at the end of day 5 what

was the price of MCS share at the end of day 4

A ₹90 B ₹100 C ₹110 D₹120

145 If Michael ended up with 20 more shares than Chetan at the end of day 5 what was

the price of the share at the end of day 3

A₹90 B ₹100 C ₹110 D ₹120

146 If Michael ended up with ₹100 less cash than Chetan at the end of day 5 what was

the difference in the number of shares possessed by Michael and Chetan (at the end of day

5)

A Michael had 10 less shares than Chetan

B Michael had 10 more shares than Chetan

C Chetan had 10 more shares than Michael

D Both had the same number of shares

SET 39

Bankatlal acted as a judge for the beauty contest There were four participants viz Ms

Andhra Pradesh Ms Uttar Pradesh Ms West Bengal and Ms Maharashtra Mrs Bankatlal

who was very anxious about the result asked him about it as soon as he was back home

Bankatlal just told that the one who was wearing the yellow saree won the contest When

Mrs Bankatlal pressed for further details he elaborated as follows

I All of them were sitting in a row

II All of them wore sarees of different colors viz Green Yellow White Red

III There was only one runner up and she was sitting beside Ms Maharashtra

IV The runner up was wearing the Green saree

V Ms West Bengal was not sitting at the ends and was not a runner up

VI The winner and the runner up are not sitting adjacent to each other

VII Ms Maharashtra was wearing white saree

VIII Ms Andhra Pradesh was not wearing the Green saree

IX Participants wearing Yellow saree and White saree were at the ends

147 Who wore the Red saree A Ms Andhra Pradesh B Ms West Bengal C Ms Uttar Pradesh D Ms Maharashtra

148 Ms West Bengal was sitting adjacent to A Ms Andhra Pradesh and Ms Maharashtra B Ms Uttar Pradesh and Ms Maharashta C Ms Andhra Pradesh and Ms Uttar Pradesh D Ms Uttar Pradesh only

149 Which saree was worn by Ms Andhra Pradesh A Yellow B Red C Green D White

150 Who was the runner up

A Ms Andhra Pradesh B Ms West Bengal

C Ms Uttar Pradesh D Ms Maharashta

SET 40

Ghosh Babu goes to a casino in Kay - Kay islands where he comes across an interesting game

of cards The visitor playing the game is called the player amp the clubman is called the dealer

The rules of the game are as follows First the player picks the card This card is called the

base card amp the number on the face of the card is called the base value of the card Ace

King Queen amp Jack all have base value of 10 The dealer pays the player same number of

rupees as the base value of the card Now the dealer picks a card amp This is called the top

card If topcard is of the same suite then the player pays the dealer double the amount of

base value If it is of the same colour but not the same suite then the player pays the dealer

the amount of a bse value If it is of different colour then the dealer pays the player the

amount of base value Ghosh Babu plays the game 4 times First time he draws 8 of club amp

the dealer draws jack of club Second time he draws 10 of hearts amp the dealer draws 2 of

spade Third time he draws 6 of diamond amp the dealer draws 1 of heart Finally Ghosh Babu

draws 8 of spade and the dealer draws ace of the spade

151 If Ghosh Babu should leave the game when his profit is maximum then what is that

profit

A 12 B 18 C 20 D None of these

152 If Ghosh Babu did not have to borrow any money from anyone then what is the

minimum amount that he could have started with

A 16 B 24 C 8 D None of these

153 If Ghosh Babu is left with 100 rupees now what is the amount that he had started

with

A 120 B 104 C 96 D None of these

SET 41

Twenty one participants from four continents (Africa Americas Australasia and Europe)

attended a United Nations conference Each participant was an expert in one of four fields

labour health population studies and refugee relocation The following five facts about the

participants are given

I The number of labour experts in the camp was exactly half the number of experts in each

of the three other categories

II Africa did not send any labour expert Otherwise every continent including Africa sent at

least one expert for each category

III None of the continents sent more than three experts in any category

IV If there had been one less Australasian expert then the America would have had twice

many experts as each of the other continents

V Mike and Alfanso are leading experts of population studies who attended the conference

They are from Australasia

154 Which of the following numbers cannot be determined from the information given

A Number of labour experts from the Americas

B Number of health experts from Europe

C Number of health experts from Australasia

D Number of experts in refugee relocation from Africa

155 Which of the following combinations is NOT possible

A 2 experts in population studies from the Americas and 2 health experts from Africa

attended the conference

B 2 experts in population studies from the Americas and 1 health expert from Africa

attended the conference

C 3 experts in refugee relocation from the Americas and 1 health expert from Africa

attended the conference

D Africa and America each had 1 expert in population studies attending the conference

156 If Ramos is the lone America expert in population studies which of the following is

NOT true about the numbers of experts in the conference from the four continents

A There is one expert in health from Africa

B There is one expert in refugee relocation from Africa

C There are two experts in health from the Americas

D There are three experts in refugee relocation from the Americas

157 Alex an American expert in refugee relocation was the first keynote speaker in the

conference What can be inferred about the number of American experts in refugee

relocation in the conference excluding Alex (i) At least one (ii) Atmost two

A Only (i) and not (ii) B Only (ii) and not (i)

C Both (i) and (ii) D Neither (i) nor (ii)

SET 42

Help Distress (HD) is an NGO involved in providing assistance to people suffering from

natural disasters Currently it has 37 volunteers They are involved in three projects

Tsunami Relief (TR) in Tamil Nadu Flood Relief (FR) in Maharashtra and Earthquake Relief

(ER) in Gujarat Each volunteer working with Help Distress has to be involved in at least one

relief work project

bull A Maximum number of volunteers are involved in the FR project Among them the

number of volunteers involved in FR project alone is equal to the volunteers having

additional involvement in the ER project

bull The number of volunteers involved in the ER project alone is double the number of

volunteers involved in all the three projects

bull 17 volunteers are involved in the TR project

bull The number of volunteers involved in the TR project alone is one less than the number of

volunteers involved in ER project alone

bull Ten volunteers involved in the TR project are also involved in at least one more project

158 Based on the information given above the minimum number of volunteers involved

in both FR and TR projects but not in the ER project is

A 1 B 3 C 4 D 5

159 Which of the following additional information would enable to find the exact

number of volunteers involved in various projects

A Twenty volunteers are involved in FR B Four volunteers are involved in all the three projects C Twenty three volunteers are involved in exactly one project D No need for any additional information

160 After some time the volunteers who were involved in all the three projects were

asked to withdraw from one project As a result one of the volunteers opted out of the TR

project and one opted out of the ER project while the remaining ones involved in all the

three projects opted out of the FR project Which of the following statements then

necessarily follows

A The lowest number of volunteers is now in TR project B More volunteers are now in FR project as compared to ER project C More volunteers are now in TR project as compared to ER project D None of the above

161 After the withdrawal of volunteers as indicated in Question 85 some new

volunteers joined the NGO Each one of them was allotted only one project in a manner such

that the number of volunteers working in one project alone for each of the three projects

became identical At that point it was also found that the number of volunteers involved in

FR and ER projects was the same as the number of volunteers involved in TR and ER projects

Which of the projects now has the highest number of volunteers

A ER B FR C TR D Cannot be determined

SET 43

Mathematicians are assigned a number called Erdoumls number (named after the famous

mathematician Paul Erdoumls) Only Paul Erdoumls himself has an Erdoumls number of zero Any

mathematician who has written a research paper with Erdoumls has an Erdoumls number of 1 For

other mathematicians the calculation of hisher Erdoumls number is illustrated below

Suppose that a mathematician X has co-authored papers with several other mathematicians

From among them mathematician Y has the smallest Erdoumls number Let the Erdoumls number

of Y be y Then X has an Erdoumls number of y + 1 Hence any mathematician with no co-

authorship chain connected to Erdoumls has an Erdoumls number of infinity In a seven day long

mini-conference organized in memory of Paul Erdoumls a close group of eight mathematicians

call them A B C D E F G and H discussed some research problems At the beginning of the

conference A was the only participant who had an infinite Erdoumls number Nobody had an

Erdoumls number less than that of F

bull On the third day of the conference F co-authored a paper jointly with A and C This

reduced the average Erdoumls number of the group of eight mathematicians to 3 The Erdoumls

numbers of B D E G and H remained unchanged with the writing of this paper Further no

other co-authorship among any three members would have reduced the average Erdoumls

number of the group of eight to as low as 3

bull At the end of the third day five members of this group had identical Erdoumls numbers while

the other three had Erdoumls numbers distinct from each other

bull On the fifth day E co-authored a paper with F which reduced the grouprsquos average Erdoumls

number by 05 The Erdoumls numbers of the remaining six were unchanged with the writing of

this paper

bull No other paper was written during the conference

162 The Erdoumls number of C at the end of the conference was

A 1 B 2 C 3 D 4

163 The Erdoumls number of E at the beginning of the conference was

A 5 B 6 C 7 D 8

164 How many participants had the same Erdoumls number at the beginning of the

conference

A 2 B 3 C 4 D 5

SET 44

K L M N P Q R S U and W are the only ten members in a department There is a proposal

to form a team from within the members of the department subject to the following

conditions

bull A team must include exactly one among P R and S

bull A team must include either M or Q but not both

bull If a team includes K then it must also include L and vice versa

bull If a team includes one among S U and W then it must also include the other two

bull L and N cannot be members of the same team

bull L and U cannot be members of the same team

The size of a team is defined as the number of members in the team

165 Who can be a member of a team of size 5

A K B L C M D P

166 Who cannot be a member of a team of size 3

A L B M C N D P

167 What could be the size of a team that includes K

A 2 or 3 B 2 or 4 C 3 or 4 D Only 4

168 In how many ways a team can be constituted so that the team includes N

A 2 B 3 C 4 D 6

SET 45

(i) There are three houses on each side of the road

(ii) These six houses are labeled as P Q R S T and U

(iii) The houses are of different colours namely Red Blue Green Orange Yellow and

White

(iv) The houses are of different heights

(v) T the tallest house is exactly opposite to the Red coloured house

(vi) The shortest house is exactly opposite to the Green coloured house

(vii) U the Orange coloured house is located between P and S

(viii) R the Yellow coloured house is exactly opposite to P

(ix) Q the Green coloured house is exactly opposite to U

(x) P the White coloured house is taller than R but shorter than S and Q

169 Which is the second tallest house

A P B S C Q D cannot be determined

170 What is the colour of the house diagonally opposite to the Yellow coloured house

A White B Blue C Green D Red

171 What is the colour of the tallest house

A Red B Blue C Green D Yellow

SET 46

A leading socialite decided to organise a dinner and invited a few of her friends Only the

host and the hostess were sitting at the opposite ends of a rectangular table with three

persons along each side The pre-requisite for the seating arrangement was that each person

must be seated such that atleast on one side it has a person of opposite sex Maqbool is

opposite Shobha who is not the hostess Ratan has a woman on his right and is sitting

opposite a woman Monisha is sitting to the hostessrsquos right next to Dhirubhai One person is

seated between Madhuri and Urmila who is not the hostess The men were Maqbool Ratan

Dhirubhai and Jackie while the women were Madhuri Urmila Shobha and Monisha

172 The eighth person present Jackie must be I the host II seated to Shobarsquos right III

seated opposite Urmila

A I only B III only C I and II only D II and III only

173 Which of the following persons is definitely not seated next to a person of the same

sex

A Maqbool B Madhuri C Jackie D Shobha

174 If Ratan would have exchanged seats with a person four places to his left which of

the following would have been true after the exchange

I No one was seated between two persons of the opposite sex (eg no man was seated

between two women)

II One side of the table consisted entirely of persons of the same sex

III Either the host or the hostess changed seats

A I only B II only C I and II only D II and III only

175 If each person is placed directly opposite his or her spouse which of the following

pairs must be married

A Ratan and Monisha B Madhuri and Dhirubhai

C Urmila and Jackie D Ratan and Madhuri

SET 47

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

buying and selling decisions at the end of each trading day The beginning price of MCS share

on a given day was the same as the ending price of the previous day Chetan and Michael

started with the same number of shares and amount of cash and had enough of both

Below are some additional facts about how Chetan and Michael traded over the five trading

days

middot Each day if the price went up Chetan sold 10 shares of MCS at the closing price On the

other hand each day if the price went down he bought 10 shares at the closing price

middot If on any day the closing price was above ₹110 then Michael sold 10 shares of MCS

while if it was below ₹90 he bought 10 shares all at the closing price

143 If Chetan sold 10 shares of MCS on three consecutive days while Michael sold 10

shares only once during the five days what was the price of MCS at the end of day 3

A ₹ 90 B ₹100 C ₹110 D ₹120

144 If Chetan ended up with ₹1300 more cash than Michael at the end of day 5 what

was the price of MCS share at the end of day 4

A ₹90 B ₹100 C ₹110 D₹120

145 If Michael ended up with 20 more shares than Chetan at the end of day 5 what was

the price of the share at the end of day 3

A₹90 B ₹100 C ₹110 D ₹120

146 If Michael ended up with ₹100 less cash than Chetan at the end of day 5 what was

the difference in the number of shares possessed by Michael and Chetan (at the end of day

5)

A Michael had 10 less shares than Chetan

B Michael had 10 more shares than Chetan

C Chetan had 10 more shares than Michael

D Both had the same number of shares

SET 39

Bankatlal acted as a judge for the beauty contest There were four participants viz Ms

Andhra Pradesh Ms Uttar Pradesh Ms West Bengal and Ms Maharashtra Mrs Bankatlal

who was very anxious about the result asked him about it as soon as he was back home

Bankatlal just told that the one who was wearing the yellow saree won the contest When

Mrs Bankatlal pressed for further details he elaborated as follows

I All of them were sitting in a row

II All of them wore sarees of different colors viz Green Yellow White Red

III There was only one runner up and she was sitting beside Ms Maharashtra

IV The runner up was wearing the Green saree

V Ms West Bengal was not sitting at the ends and was not a runner up

VI The winner and the runner up are not sitting adjacent to each other

VII Ms Maharashtra was wearing white saree

VIII Ms Andhra Pradesh was not wearing the Green saree

IX Participants wearing Yellow saree and White saree were at the ends

147 Who wore the Red saree A Ms Andhra Pradesh B Ms West Bengal C Ms Uttar Pradesh D Ms Maharashtra

148 Ms West Bengal was sitting adjacent to A Ms Andhra Pradesh and Ms Maharashtra B Ms Uttar Pradesh and Ms Maharashta C Ms Andhra Pradesh and Ms Uttar Pradesh D Ms Uttar Pradesh only

149 Which saree was worn by Ms Andhra Pradesh A Yellow B Red C Green D White

150 Who was the runner up

A Ms Andhra Pradesh B Ms West Bengal

C Ms Uttar Pradesh D Ms Maharashta

SET 40

Ghosh Babu goes to a casino in Kay - Kay islands where he comes across an interesting game

of cards The visitor playing the game is called the player amp the clubman is called the dealer

The rules of the game are as follows First the player picks the card This card is called the

base card amp the number on the face of the card is called the base value of the card Ace

King Queen amp Jack all have base value of 10 The dealer pays the player same number of

rupees as the base value of the card Now the dealer picks a card amp This is called the top

card If topcard is of the same suite then the player pays the dealer double the amount of

base value If it is of the same colour but not the same suite then the player pays the dealer

the amount of a bse value If it is of different colour then the dealer pays the player the

amount of base value Ghosh Babu plays the game 4 times First time he draws 8 of club amp

the dealer draws jack of club Second time he draws 10 of hearts amp the dealer draws 2 of

spade Third time he draws 6 of diamond amp the dealer draws 1 of heart Finally Ghosh Babu

draws 8 of spade and the dealer draws ace of the spade

151 If Ghosh Babu should leave the game when his profit is maximum then what is that

profit

A 12 B 18 C 20 D None of these

152 If Ghosh Babu did not have to borrow any money from anyone then what is the

minimum amount that he could have started with

A 16 B 24 C 8 D None of these

153 If Ghosh Babu is left with 100 rupees now what is the amount that he had started

with

A 120 B 104 C 96 D None of these

SET 41

Twenty one participants from four continents (Africa Americas Australasia and Europe)

attended a United Nations conference Each participant was an expert in one of four fields

labour health population studies and refugee relocation The following five facts about the

participants are given

I The number of labour experts in the camp was exactly half the number of experts in each

of the three other categories

II Africa did not send any labour expert Otherwise every continent including Africa sent at

least one expert for each category

III None of the continents sent more than three experts in any category

IV If there had been one less Australasian expert then the America would have had twice

many experts as each of the other continents

V Mike and Alfanso are leading experts of population studies who attended the conference

They are from Australasia

154 Which of the following numbers cannot be determined from the information given

A Number of labour experts from the Americas

B Number of health experts from Europe

C Number of health experts from Australasia

D Number of experts in refugee relocation from Africa

155 Which of the following combinations is NOT possible

A 2 experts in population studies from the Americas and 2 health experts from Africa

attended the conference

B 2 experts in population studies from the Americas and 1 health expert from Africa

attended the conference

C 3 experts in refugee relocation from the Americas and 1 health expert from Africa

attended the conference

D Africa and America each had 1 expert in population studies attending the conference

156 If Ramos is the lone America expert in population studies which of the following is

NOT true about the numbers of experts in the conference from the four continents

A There is one expert in health from Africa

B There is one expert in refugee relocation from Africa

C There are two experts in health from the Americas

D There are three experts in refugee relocation from the Americas

157 Alex an American expert in refugee relocation was the first keynote speaker in the

conference What can be inferred about the number of American experts in refugee

relocation in the conference excluding Alex (i) At least one (ii) Atmost two

A Only (i) and not (ii) B Only (ii) and not (i)

C Both (i) and (ii) D Neither (i) nor (ii)

SET 42

Help Distress (HD) is an NGO involved in providing assistance to people suffering from

natural disasters Currently it has 37 volunteers They are involved in three projects

Tsunami Relief (TR) in Tamil Nadu Flood Relief (FR) in Maharashtra and Earthquake Relief

(ER) in Gujarat Each volunteer working with Help Distress has to be involved in at least one

relief work project

bull A Maximum number of volunteers are involved in the FR project Among them the

number of volunteers involved in FR project alone is equal to the volunteers having

additional involvement in the ER project

bull The number of volunteers involved in the ER project alone is double the number of

volunteers involved in all the three projects

bull 17 volunteers are involved in the TR project

bull The number of volunteers involved in the TR project alone is one less than the number of

volunteers involved in ER project alone

bull Ten volunteers involved in the TR project are also involved in at least one more project

158 Based on the information given above the minimum number of volunteers involved

in both FR and TR projects but not in the ER project is

A 1 B 3 C 4 D 5

159 Which of the following additional information would enable to find the exact

number of volunteers involved in various projects

A Twenty volunteers are involved in FR B Four volunteers are involved in all the three projects C Twenty three volunteers are involved in exactly one project D No need for any additional information

160 After some time the volunteers who were involved in all the three projects were

asked to withdraw from one project As a result one of the volunteers opted out of the TR

project and one opted out of the ER project while the remaining ones involved in all the

three projects opted out of the FR project Which of the following statements then

necessarily follows

A The lowest number of volunteers is now in TR project B More volunteers are now in FR project as compared to ER project C More volunteers are now in TR project as compared to ER project D None of the above

161 After the withdrawal of volunteers as indicated in Question 85 some new

volunteers joined the NGO Each one of them was allotted only one project in a manner such

that the number of volunteers working in one project alone for each of the three projects

became identical At that point it was also found that the number of volunteers involved in

FR and ER projects was the same as the number of volunteers involved in TR and ER projects

Which of the projects now has the highest number of volunteers

A ER B FR C TR D Cannot be determined

SET 43

Mathematicians are assigned a number called Erdoumls number (named after the famous

mathematician Paul Erdoumls) Only Paul Erdoumls himself has an Erdoumls number of zero Any

mathematician who has written a research paper with Erdoumls has an Erdoumls number of 1 For

other mathematicians the calculation of hisher Erdoumls number is illustrated below

Suppose that a mathematician X has co-authored papers with several other mathematicians

From among them mathematician Y has the smallest Erdoumls number Let the Erdoumls number

of Y be y Then X has an Erdoumls number of y + 1 Hence any mathematician with no co-

authorship chain connected to Erdoumls has an Erdoumls number of infinity In a seven day long

mini-conference organized in memory of Paul Erdoumls a close group of eight mathematicians

call them A B C D E F G and H discussed some research problems At the beginning of the

conference A was the only participant who had an infinite Erdoumls number Nobody had an

Erdoumls number less than that of F

bull On the third day of the conference F co-authored a paper jointly with A and C This

reduced the average Erdoumls number of the group of eight mathematicians to 3 The Erdoumls

numbers of B D E G and H remained unchanged with the writing of this paper Further no

other co-authorship among any three members would have reduced the average Erdoumls

number of the group of eight to as low as 3

bull At the end of the third day five members of this group had identical Erdoumls numbers while

the other three had Erdoumls numbers distinct from each other

bull On the fifth day E co-authored a paper with F which reduced the grouprsquos average Erdoumls

number by 05 The Erdoumls numbers of the remaining six were unchanged with the writing of

this paper

bull No other paper was written during the conference

162 The Erdoumls number of C at the end of the conference was

A 1 B 2 C 3 D 4

163 The Erdoumls number of E at the beginning of the conference was

A 5 B 6 C 7 D 8

164 How many participants had the same Erdoumls number at the beginning of the

conference

A 2 B 3 C 4 D 5

SET 44

K L M N P Q R S U and W are the only ten members in a department There is a proposal

to form a team from within the members of the department subject to the following

conditions

bull A team must include exactly one among P R and S

bull A team must include either M or Q but not both

bull If a team includes K then it must also include L and vice versa

bull If a team includes one among S U and W then it must also include the other two

bull L and N cannot be members of the same team

bull L and U cannot be members of the same team

The size of a team is defined as the number of members in the team

165 Who can be a member of a team of size 5

A K B L C M D P

166 Who cannot be a member of a team of size 3

A L B M C N D P

167 What could be the size of a team that includes K

A 2 or 3 B 2 or 4 C 3 or 4 D Only 4

168 In how many ways a team can be constituted so that the team includes N

A 2 B 3 C 4 D 6

SET 45

(i) There are three houses on each side of the road

(ii) These six houses are labeled as P Q R S T and U

(iii) The houses are of different colours namely Red Blue Green Orange Yellow and

White

(iv) The houses are of different heights

(v) T the tallest house is exactly opposite to the Red coloured house

(vi) The shortest house is exactly opposite to the Green coloured house

(vii) U the Orange coloured house is located between P and S

(viii) R the Yellow coloured house is exactly opposite to P

(ix) Q the Green coloured house is exactly opposite to U

(x) P the White coloured house is taller than R but shorter than S and Q

169 Which is the second tallest house

A P B S C Q D cannot be determined

170 What is the colour of the house diagonally opposite to the Yellow coloured house

A White B Blue C Green D Red

171 What is the colour of the tallest house

A Red B Blue C Green D Yellow

SET 46

A leading socialite decided to organise a dinner and invited a few of her friends Only the

host and the hostess were sitting at the opposite ends of a rectangular table with three

persons along each side The pre-requisite for the seating arrangement was that each person

must be seated such that atleast on one side it has a person of opposite sex Maqbool is

opposite Shobha who is not the hostess Ratan has a woman on his right and is sitting

opposite a woman Monisha is sitting to the hostessrsquos right next to Dhirubhai One person is

seated between Madhuri and Urmila who is not the hostess The men were Maqbool Ratan

Dhirubhai and Jackie while the women were Madhuri Urmila Shobha and Monisha

172 The eighth person present Jackie must be I the host II seated to Shobarsquos right III

seated opposite Urmila

A I only B III only C I and II only D II and III only

173 Which of the following persons is definitely not seated next to a person of the same

sex

A Maqbool B Madhuri C Jackie D Shobha

174 If Ratan would have exchanged seats with a person four places to his left which of

the following would have been true after the exchange

I No one was seated between two persons of the opposite sex (eg no man was seated

between two women)

II One side of the table consisted entirely of persons of the same sex

III Either the host or the hostess changed seats

A I only B II only C I and II only D II and III only

175 If each person is placed directly opposite his or her spouse which of the following

pairs must be married

A Ratan and Monisha B Madhuri and Dhirubhai

C Urmila and Jackie D Ratan and Madhuri

SET 47

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

who was very anxious about the result asked him about it as soon as he was back home

Bankatlal just told that the one who was wearing the yellow saree won the contest When

Mrs Bankatlal pressed for further details he elaborated as follows

I All of them were sitting in a row

II All of them wore sarees of different colors viz Green Yellow White Red

III There was only one runner up and she was sitting beside Ms Maharashtra

IV The runner up was wearing the Green saree

V Ms West Bengal was not sitting at the ends and was not a runner up

VI The winner and the runner up are not sitting adjacent to each other

VII Ms Maharashtra was wearing white saree

VIII Ms Andhra Pradesh was not wearing the Green saree

IX Participants wearing Yellow saree and White saree were at the ends

147 Who wore the Red saree A Ms Andhra Pradesh B Ms West Bengal C Ms Uttar Pradesh D Ms Maharashtra

148 Ms West Bengal was sitting adjacent to A Ms Andhra Pradesh and Ms Maharashtra B Ms Uttar Pradesh and Ms Maharashta C Ms Andhra Pradesh and Ms Uttar Pradesh D Ms Uttar Pradesh only

149 Which saree was worn by Ms Andhra Pradesh A Yellow B Red C Green D White

150 Who was the runner up

A Ms Andhra Pradesh B Ms West Bengal

C Ms Uttar Pradesh D Ms Maharashta

SET 40

Ghosh Babu goes to a casino in Kay - Kay islands where he comes across an interesting game

of cards The visitor playing the game is called the player amp the clubman is called the dealer

The rules of the game are as follows First the player picks the card This card is called the

base card amp the number on the face of the card is called the base value of the card Ace

King Queen amp Jack all have base value of 10 The dealer pays the player same number of

rupees as the base value of the card Now the dealer picks a card amp This is called the top

card If topcard is of the same suite then the player pays the dealer double the amount of

base value If it is of the same colour but not the same suite then the player pays the dealer

the amount of a bse value If it is of different colour then the dealer pays the player the

amount of base value Ghosh Babu plays the game 4 times First time he draws 8 of club amp

the dealer draws jack of club Second time he draws 10 of hearts amp the dealer draws 2 of

spade Third time he draws 6 of diamond amp the dealer draws 1 of heart Finally Ghosh Babu

draws 8 of spade and the dealer draws ace of the spade

151 If Ghosh Babu should leave the game when his profit is maximum then what is that

profit

A 12 B 18 C 20 D None of these

152 If Ghosh Babu did not have to borrow any money from anyone then what is the

minimum amount that he could have started with

A 16 B 24 C 8 D None of these

153 If Ghosh Babu is left with 100 rupees now what is the amount that he had started

with

A 120 B 104 C 96 D None of these

SET 41

Twenty one participants from four continents (Africa Americas Australasia and Europe)

attended a United Nations conference Each participant was an expert in one of four fields

labour health population studies and refugee relocation The following five facts about the

participants are given

I The number of labour experts in the camp was exactly half the number of experts in each

of the three other categories

II Africa did not send any labour expert Otherwise every continent including Africa sent at

least one expert for each category

III None of the continents sent more than three experts in any category

IV If there had been one less Australasian expert then the America would have had twice

many experts as each of the other continents

V Mike and Alfanso are leading experts of population studies who attended the conference

They are from Australasia

154 Which of the following numbers cannot be determined from the information given

A Number of labour experts from the Americas

B Number of health experts from Europe

C Number of health experts from Australasia

D Number of experts in refugee relocation from Africa

155 Which of the following combinations is NOT possible

A 2 experts in population studies from the Americas and 2 health experts from Africa

attended the conference

B 2 experts in population studies from the Americas and 1 health expert from Africa

attended the conference

C 3 experts in refugee relocation from the Americas and 1 health expert from Africa

attended the conference

D Africa and America each had 1 expert in population studies attending the conference

156 If Ramos is the lone America expert in population studies which of the following is

NOT true about the numbers of experts in the conference from the four continents

A There is one expert in health from Africa

B There is one expert in refugee relocation from Africa

C There are two experts in health from the Americas

D There are three experts in refugee relocation from the Americas

157 Alex an American expert in refugee relocation was the first keynote speaker in the

conference What can be inferred about the number of American experts in refugee

relocation in the conference excluding Alex (i) At least one (ii) Atmost two

A Only (i) and not (ii) B Only (ii) and not (i)

C Both (i) and (ii) D Neither (i) nor (ii)

SET 42

Help Distress (HD) is an NGO involved in providing assistance to people suffering from

natural disasters Currently it has 37 volunteers They are involved in three projects

Tsunami Relief (TR) in Tamil Nadu Flood Relief (FR) in Maharashtra and Earthquake Relief

(ER) in Gujarat Each volunteer working with Help Distress has to be involved in at least one

relief work project

bull A Maximum number of volunteers are involved in the FR project Among them the

number of volunteers involved in FR project alone is equal to the volunteers having

additional involvement in the ER project

bull The number of volunteers involved in the ER project alone is double the number of

volunteers involved in all the three projects

bull 17 volunteers are involved in the TR project

bull The number of volunteers involved in the TR project alone is one less than the number of

volunteers involved in ER project alone

bull Ten volunteers involved in the TR project are also involved in at least one more project

158 Based on the information given above the minimum number of volunteers involved

in both FR and TR projects but not in the ER project is

A 1 B 3 C 4 D 5

159 Which of the following additional information would enable to find the exact

number of volunteers involved in various projects

A Twenty volunteers are involved in FR B Four volunteers are involved in all the three projects C Twenty three volunteers are involved in exactly one project D No need for any additional information

160 After some time the volunteers who were involved in all the three projects were

asked to withdraw from one project As a result one of the volunteers opted out of the TR

project and one opted out of the ER project while the remaining ones involved in all the

three projects opted out of the FR project Which of the following statements then

necessarily follows

A The lowest number of volunteers is now in TR project B More volunteers are now in FR project as compared to ER project C More volunteers are now in TR project as compared to ER project D None of the above

161 After the withdrawal of volunteers as indicated in Question 85 some new

volunteers joined the NGO Each one of them was allotted only one project in a manner such

that the number of volunteers working in one project alone for each of the three projects

became identical At that point it was also found that the number of volunteers involved in

FR and ER projects was the same as the number of volunteers involved in TR and ER projects

Which of the projects now has the highest number of volunteers

A ER B FR C TR D Cannot be determined

SET 43

Mathematicians are assigned a number called Erdoumls number (named after the famous

mathematician Paul Erdoumls) Only Paul Erdoumls himself has an Erdoumls number of zero Any

mathematician who has written a research paper with Erdoumls has an Erdoumls number of 1 For

other mathematicians the calculation of hisher Erdoumls number is illustrated below

Suppose that a mathematician X has co-authored papers with several other mathematicians

From among them mathematician Y has the smallest Erdoumls number Let the Erdoumls number

of Y be y Then X has an Erdoumls number of y + 1 Hence any mathematician with no co-

authorship chain connected to Erdoumls has an Erdoumls number of infinity In a seven day long

mini-conference organized in memory of Paul Erdoumls a close group of eight mathematicians

call them A B C D E F G and H discussed some research problems At the beginning of the

conference A was the only participant who had an infinite Erdoumls number Nobody had an

Erdoumls number less than that of F

bull On the third day of the conference F co-authored a paper jointly with A and C This

reduced the average Erdoumls number of the group of eight mathematicians to 3 The Erdoumls

numbers of B D E G and H remained unchanged with the writing of this paper Further no

other co-authorship among any three members would have reduced the average Erdoumls

number of the group of eight to as low as 3

bull At the end of the third day five members of this group had identical Erdoumls numbers while

the other three had Erdoumls numbers distinct from each other

bull On the fifth day E co-authored a paper with F which reduced the grouprsquos average Erdoumls

number by 05 The Erdoumls numbers of the remaining six were unchanged with the writing of

this paper

bull No other paper was written during the conference

162 The Erdoumls number of C at the end of the conference was

A 1 B 2 C 3 D 4

163 The Erdoumls number of E at the beginning of the conference was

A 5 B 6 C 7 D 8

164 How many participants had the same Erdoumls number at the beginning of the

conference

A 2 B 3 C 4 D 5

SET 44

K L M N P Q R S U and W are the only ten members in a department There is a proposal

to form a team from within the members of the department subject to the following

conditions

bull A team must include exactly one among P R and S

bull A team must include either M or Q but not both

bull If a team includes K then it must also include L and vice versa

bull If a team includes one among S U and W then it must also include the other two

bull L and N cannot be members of the same team

bull L and U cannot be members of the same team

The size of a team is defined as the number of members in the team

165 Who can be a member of a team of size 5

A K B L C M D P

166 Who cannot be a member of a team of size 3

A L B M C N D P

167 What could be the size of a team that includes K

A 2 or 3 B 2 or 4 C 3 or 4 D Only 4

168 In how many ways a team can be constituted so that the team includes N

A 2 B 3 C 4 D 6

SET 45

(i) There are three houses on each side of the road

(ii) These six houses are labeled as P Q R S T and U

(iii) The houses are of different colours namely Red Blue Green Orange Yellow and

White

(iv) The houses are of different heights

(v) T the tallest house is exactly opposite to the Red coloured house

(vi) The shortest house is exactly opposite to the Green coloured house

(vii) U the Orange coloured house is located between P and S

(viii) R the Yellow coloured house is exactly opposite to P

(ix) Q the Green coloured house is exactly opposite to U

(x) P the White coloured house is taller than R but shorter than S and Q

169 Which is the second tallest house

A P B S C Q D cannot be determined

170 What is the colour of the house diagonally opposite to the Yellow coloured house

A White B Blue C Green D Red

171 What is the colour of the tallest house

A Red B Blue C Green D Yellow

SET 46

A leading socialite decided to organise a dinner and invited a few of her friends Only the

host and the hostess were sitting at the opposite ends of a rectangular table with three

persons along each side The pre-requisite for the seating arrangement was that each person

must be seated such that atleast on one side it has a person of opposite sex Maqbool is

opposite Shobha who is not the hostess Ratan has a woman on his right and is sitting

opposite a woman Monisha is sitting to the hostessrsquos right next to Dhirubhai One person is

seated between Madhuri and Urmila who is not the hostess The men were Maqbool Ratan

Dhirubhai and Jackie while the women were Madhuri Urmila Shobha and Monisha

172 The eighth person present Jackie must be I the host II seated to Shobarsquos right III

seated opposite Urmila

A I only B III only C I and II only D II and III only

173 Which of the following persons is definitely not seated next to a person of the same

sex

A Maqbool B Madhuri C Jackie D Shobha

174 If Ratan would have exchanged seats with a person four places to his left which of

the following would have been true after the exchange

I No one was seated between two persons of the opposite sex (eg no man was seated

between two women)

II One side of the table consisted entirely of persons of the same sex

III Either the host or the hostess changed seats

A I only B II only C I and II only D II and III only

175 If each person is placed directly opposite his or her spouse which of the following

pairs must be married

A Ratan and Monisha B Madhuri and Dhirubhai

C Urmila and Jackie D Ratan and Madhuri

SET 47

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

amount of base value Ghosh Babu plays the game 4 times First time he draws 8 of club amp

the dealer draws jack of club Second time he draws 10 of hearts amp the dealer draws 2 of

spade Third time he draws 6 of diamond amp the dealer draws 1 of heart Finally Ghosh Babu

draws 8 of spade and the dealer draws ace of the spade

151 If Ghosh Babu should leave the game when his profit is maximum then what is that

profit

A 12 B 18 C 20 D None of these

152 If Ghosh Babu did not have to borrow any money from anyone then what is the

minimum amount that he could have started with

A 16 B 24 C 8 D None of these

153 If Ghosh Babu is left with 100 rupees now what is the amount that he had started

with

A 120 B 104 C 96 D None of these

SET 41

Twenty one participants from four continents (Africa Americas Australasia and Europe)

attended a United Nations conference Each participant was an expert in one of four fields

labour health population studies and refugee relocation The following five facts about the

participants are given

I The number of labour experts in the camp was exactly half the number of experts in each

of the three other categories

II Africa did not send any labour expert Otherwise every continent including Africa sent at

least one expert for each category

III None of the continents sent more than three experts in any category

IV If there had been one less Australasian expert then the America would have had twice

many experts as each of the other continents

V Mike and Alfanso are leading experts of population studies who attended the conference

They are from Australasia

154 Which of the following numbers cannot be determined from the information given

A Number of labour experts from the Americas

B Number of health experts from Europe

C Number of health experts from Australasia

D Number of experts in refugee relocation from Africa

155 Which of the following combinations is NOT possible

A 2 experts in population studies from the Americas and 2 health experts from Africa

attended the conference

B 2 experts in population studies from the Americas and 1 health expert from Africa

attended the conference

C 3 experts in refugee relocation from the Americas and 1 health expert from Africa

attended the conference

D Africa and America each had 1 expert in population studies attending the conference

156 If Ramos is the lone America expert in population studies which of the following is

NOT true about the numbers of experts in the conference from the four continents

A There is one expert in health from Africa

B There is one expert in refugee relocation from Africa

C There are two experts in health from the Americas

D There are three experts in refugee relocation from the Americas

157 Alex an American expert in refugee relocation was the first keynote speaker in the

conference What can be inferred about the number of American experts in refugee

relocation in the conference excluding Alex (i) At least one (ii) Atmost two

A Only (i) and not (ii) B Only (ii) and not (i)

C Both (i) and (ii) D Neither (i) nor (ii)

SET 42

Help Distress (HD) is an NGO involved in providing assistance to people suffering from

natural disasters Currently it has 37 volunteers They are involved in three projects

Tsunami Relief (TR) in Tamil Nadu Flood Relief (FR) in Maharashtra and Earthquake Relief

(ER) in Gujarat Each volunteer working with Help Distress has to be involved in at least one

relief work project

bull A Maximum number of volunteers are involved in the FR project Among them the

number of volunteers involved in FR project alone is equal to the volunteers having

additional involvement in the ER project

bull The number of volunteers involved in the ER project alone is double the number of

volunteers involved in all the three projects

bull 17 volunteers are involved in the TR project

bull The number of volunteers involved in the TR project alone is one less than the number of

volunteers involved in ER project alone

bull Ten volunteers involved in the TR project are also involved in at least one more project

158 Based on the information given above the minimum number of volunteers involved

in both FR and TR projects but not in the ER project is

A 1 B 3 C 4 D 5

159 Which of the following additional information would enable to find the exact

number of volunteers involved in various projects

A Twenty volunteers are involved in FR B Four volunteers are involved in all the three projects C Twenty three volunteers are involved in exactly one project D No need for any additional information

160 After some time the volunteers who were involved in all the three projects were

asked to withdraw from one project As a result one of the volunteers opted out of the TR

project and one opted out of the ER project while the remaining ones involved in all the

three projects opted out of the FR project Which of the following statements then

necessarily follows

A The lowest number of volunteers is now in TR project B More volunteers are now in FR project as compared to ER project C More volunteers are now in TR project as compared to ER project D None of the above

161 After the withdrawal of volunteers as indicated in Question 85 some new

volunteers joined the NGO Each one of them was allotted only one project in a manner such

that the number of volunteers working in one project alone for each of the three projects

became identical At that point it was also found that the number of volunteers involved in

FR and ER projects was the same as the number of volunteers involved in TR and ER projects

Which of the projects now has the highest number of volunteers

A ER B FR C TR D Cannot be determined

SET 43

Mathematicians are assigned a number called Erdoumls number (named after the famous

mathematician Paul Erdoumls) Only Paul Erdoumls himself has an Erdoumls number of zero Any

mathematician who has written a research paper with Erdoumls has an Erdoumls number of 1 For

other mathematicians the calculation of hisher Erdoumls number is illustrated below

Suppose that a mathematician X has co-authored papers with several other mathematicians

From among them mathematician Y has the smallest Erdoumls number Let the Erdoumls number

of Y be y Then X has an Erdoumls number of y + 1 Hence any mathematician with no co-

authorship chain connected to Erdoumls has an Erdoumls number of infinity In a seven day long

mini-conference organized in memory of Paul Erdoumls a close group of eight mathematicians

call them A B C D E F G and H discussed some research problems At the beginning of the

conference A was the only participant who had an infinite Erdoumls number Nobody had an

Erdoumls number less than that of F

bull On the third day of the conference F co-authored a paper jointly with A and C This

reduced the average Erdoumls number of the group of eight mathematicians to 3 The Erdoumls

numbers of B D E G and H remained unchanged with the writing of this paper Further no

other co-authorship among any three members would have reduced the average Erdoumls

number of the group of eight to as low as 3

bull At the end of the third day five members of this group had identical Erdoumls numbers while

the other three had Erdoumls numbers distinct from each other

bull On the fifth day E co-authored a paper with F which reduced the grouprsquos average Erdoumls

number by 05 The Erdoumls numbers of the remaining six were unchanged with the writing of

this paper

bull No other paper was written during the conference

162 The Erdoumls number of C at the end of the conference was

A 1 B 2 C 3 D 4

163 The Erdoumls number of E at the beginning of the conference was

A 5 B 6 C 7 D 8

164 How many participants had the same Erdoumls number at the beginning of the

conference

A 2 B 3 C 4 D 5

SET 44

K L M N P Q R S U and W are the only ten members in a department There is a proposal

to form a team from within the members of the department subject to the following

conditions

bull A team must include exactly one among P R and S

bull A team must include either M or Q but not both

bull If a team includes K then it must also include L and vice versa

bull If a team includes one among S U and W then it must also include the other two

bull L and N cannot be members of the same team

bull L and U cannot be members of the same team

The size of a team is defined as the number of members in the team

165 Who can be a member of a team of size 5

A K B L C M D P

166 Who cannot be a member of a team of size 3

A L B M C N D P

167 What could be the size of a team that includes K

A 2 or 3 B 2 or 4 C 3 or 4 D Only 4

168 In how many ways a team can be constituted so that the team includes N

A 2 B 3 C 4 D 6

SET 45

(i) There are three houses on each side of the road

(ii) These six houses are labeled as P Q R S T and U

(iii) The houses are of different colours namely Red Blue Green Orange Yellow and

White

(iv) The houses are of different heights

(v) T the tallest house is exactly opposite to the Red coloured house

(vi) The shortest house is exactly opposite to the Green coloured house

(vii) U the Orange coloured house is located between P and S

(viii) R the Yellow coloured house is exactly opposite to P

(ix) Q the Green coloured house is exactly opposite to U

(x) P the White coloured house is taller than R but shorter than S and Q

169 Which is the second tallest house

A P B S C Q D cannot be determined

170 What is the colour of the house diagonally opposite to the Yellow coloured house

A White B Blue C Green D Red

171 What is the colour of the tallest house

A Red B Blue C Green D Yellow

SET 46

A leading socialite decided to organise a dinner and invited a few of her friends Only the

host and the hostess were sitting at the opposite ends of a rectangular table with three

persons along each side The pre-requisite for the seating arrangement was that each person

must be seated such that atleast on one side it has a person of opposite sex Maqbool is

opposite Shobha who is not the hostess Ratan has a woman on his right and is sitting

opposite a woman Monisha is sitting to the hostessrsquos right next to Dhirubhai One person is

seated between Madhuri and Urmila who is not the hostess The men were Maqbool Ratan

Dhirubhai and Jackie while the women were Madhuri Urmila Shobha and Monisha

172 The eighth person present Jackie must be I the host II seated to Shobarsquos right III

seated opposite Urmila

A I only B III only C I and II only D II and III only

173 Which of the following persons is definitely not seated next to a person of the same

sex

A Maqbool B Madhuri C Jackie D Shobha

174 If Ratan would have exchanged seats with a person four places to his left which of

the following would have been true after the exchange

I No one was seated between two persons of the opposite sex (eg no man was seated

between two women)

II One side of the table consisted entirely of persons of the same sex

III Either the host or the hostess changed seats

A I only B II only C I and II only D II and III only

175 If each person is placed directly opposite his or her spouse which of the following

pairs must be married

A Ratan and Monisha B Madhuri and Dhirubhai

C Urmila and Jackie D Ratan and Madhuri

SET 47

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

D Number of experts in refugee relocation from Africa

155 Which of the following combinations is NOT possible

A 2 experts in population studies from the Americas and 2 health experts from Africa

attended the conference

B 2 experts in population studies from the Americas and 1 health expert from Africa

attended the conference

C 3 experts in refugee relocation from the Americas and 1 health expert from Africa

attended the conference

D Africa and America each had 1 expert in population studies attending the conference

156 If Ramos is the lone America expert in population studies which of the following is

NOT true about the numbers of experts in the conference from the four continents

A There is one expert in health from Africa

B There is one expert in refugee relocation from Africa

C There are two experts in health from the Americas

D There are three experts in refugee relocation from the Americas

157 Alex an American expert in refugee relocation was the first keynote speaker in the

conference What can be inferred about the number of American experts in refugee

relocation in the conference excluding Alex (i) At least one (ii) Atmost two

A Only (i) and not (ii) B Only (ii) and not (i)

C Both (i) and (ii) D Neither (i) nor (ii)

SET 42

Help Distress (HD) is an NGO involved in providing assistance to people suffering from

natural disasters Currently it has 37 volunteers They are involved in three projects

Tsunami Relief (TR) in Tamil Nadu Flood Relief (FR) in Maharashtra and Earthquake Relief

(ER) in Gujarat Each volunteer working with Help Distress has to be involved in at least one

relief work project

bull A Maximum number of volunteers are involved in the FR project Among them the

number of volunteers involved in FR project alone is equal to the volunteers having

additional involvement in the ER project

bull The number of volunteers involved in the ER project alone is double the number of

volunteers involved in all the three projects

bull 17 volunteers are involved in the TR project

bull The number of volunteers involved in the TR project alone is one less than the number of

volunteers involved in ER project alone

bull Ten volunteers involved in the TR project are also involved in at least one more project

158 Based on the information given above the minimum number of volunteers involved

in both FR and TR projects but not in the ER project is

A 1 B 3 C 4 D 5

159 Which of the following additional information would enable to find the exact

number of volunteers involved in various projects

A Twenty volunteers are involved in FR B Four volunteers are involved in all the three projects C Twenty three volunteers are involved in exactly one project D No need for any additional information

160 After some time the volunteers who were involved in all the three projects were

asked to withdraw from one project As a result one of the volunteers opted out of the TR

project and one opted out of the ER project while the remaining ones involved in all the

three projects opted out of the FR project Which of the following statements then

necessarily follows

A The lowest number of volunteers is now in TR project B More volunteers are now in FR project as compared to ER project C More volunteers are now in TR project as compared to ER project D None of the above

161 After the withdrawal of volunteers as indicated in Question 85 some new

volunteers joined the NGO Each one of them was allotted only one project in a manner such

that the number of volunteers working in one project alone for each of the three projects

became identical At that point it was also found that the number of volunteers involved in

FR and ER projects was the same as the number of volunteers involved in TR and ER projects

Which of the projects now has the highest number of volunteers

A ER B FR C TR D Cannot be determined

SET 43

Mathematicians are assigned a number called Erdoumls number (named after the famous

mathematician Paul Erdoumls) Only Paul Erdoumls himself has an Erdoumls number of zero Any

mathematician who has written a research paper with Erdoumls has an Erdoumls number of 1 For

other mathematicians the calculation of hisher Erdoumls number is illustrated below

Suppose that a mathematician X has co-authored papers with several other mathematicians

From among them mathematician Y has the smallest Erdoumls number Let the Erdoumls number

of Y be y Then X has an Erdoumls number of y + 1 Hence any mathematician with no co-

authorship chain connected to Erdoumls has an Erdoumls number of infinity In a seven day long

mini-conference organized in memory of Paul Erdoumls a close group of eight mathematicians

call them A B C D E F G and H discussed some research problems At the beginning of the

conference A was the only participant who had an infinite Erdoumls number Nobody had an

Erdoumls number less than that of F

bull On the third day of the conference F co-authored a paper jointly with A and C This

reduced the average Erdoumls number of the group of eight mathematicians to 3 The Erdoumls

numbers of B D E G and H remained unchanged with the writing of this paper Further no

other co-authorship among any three members would have reduced the average Erdoumls

number of the group of eight to as low as 3

bull At the end of the third day five members of this group had identical Erdoumls numbers while

the other three had Erdoumls numbers distinct from each other

bull On the fifth day E co-authored a paper with F which reduced the grouprsquos average Erdoumls

number by 05 The Erdoumls numbers of the remaining six were unchanged with the writing of

this paper

bull No other paper was written during the conference

162 The Erdoumls number of C at the end of the conference was

A 1 B 2 C 3 D 4

163 The Erdoumls number of E at the beginning of the conference was

A 5 B 6 C 7 D 8

164 How many participants had the same Erdoumls number at the beginning of the

conference

A 2 B 3 C 4 D 5

SET 44

K L M N P Q R S U and W are the only ten members in a department There is a proposal

to form a team from within the members of the department subject to the following

conditions

bull A team must include exactly one among P R and S

bull A team must include either M or Q but not both

bull If a team includes K then it must also include L and vice versa

bull If a team includes one among S U and W then it must also include the other two

bull L and N cannot be members of the same team

bull L and U cannot be members of the same team

The size of a team is defined as the number of members in the team

165 Who can be a member of a team of size 5

A K B L C M D P

166 Who cannot be a member of a team of size 3

A L B M C N D P

167 What could be the size of a team that includes K

A 2 or 3 B 2 or 4 C 3 or 4 D Only 4

168 In how many ways a team can be constituted so that the team includes N

A 2 B 3 C 4 D 6

SET 45

(i) There are three houses on each side of the road

(ii) These six houses are labeled as P Q R S T and U

(iii) The houses are of different colours namely Red Blue Green Orange Yellow and

White

(iv) The houses are of different heights

(v) T the tallest house is exactly opposite to the Red coloured house

(vi) The shortest house is exactly opposite to the Green coloured house

(vii) U the Orange coloured house is located between P and S

(viii) R the Yellow coloured house is exactly opposite to P

(ix) Q the Green coloured house is exactly opposite to U

(x) P the White coloured house is taller than R but shorter than S and Q

169 Which is the second tallest house

A P B S C Q D cannot be determined

170 What is the colour of the house diagonally opposite to the Yellow coloured house

A White B Blue C Green D Red

171 What is the colour of the tallest house

A Red B Blue C Green D Yellow

SET 46

A leading socialite decided to organise a dinner and invited a few of her friends Only the

host and the hostess were sitting at the opposite ends of a rectangular table with three

persons along each side The pre-requisite for the seating arrangement was that each person

must be seated such that atleast on one side it has a person of opposite sex Maqbool is

opposite Shobha who is not the hostess Ratan has a woman on his right and is sitting

opposite a woman Monisha is sitting to the hostessrsquos right next to Dhirubhai One person is

seated between Madhuri and Urmila who is not the hostess The men were Maqbool Ratan

Dhirubhai and Jackie while the women were Madhuri Urmila Shobha and Monisha

172 The eighth person present Jackie must be I the host II seated to Shobarsquos right III

seated opposite Urmila

A I only B III only C I and II only D II and III only

173 Which of the following persons is definitely not seated next to a person of the same

sex

A Maqbool B Madhuri C Jackie D Shobha

174 If Ratan would have exchanged seats with a person four places to his left which of

the following would have been true after the exchange

I No one was seated between two persons of the opposite sex (eg no man was seated

between two women)

II One side of the table consisted entirely of persons of the same sex

III Either the host or the hostess changed seats

A I only B II only C I and II only D II and III only

175 If each person is placed directly opposite his or her spouse which of the following

pairs must be married

A Ratan and Monisha B Madhuri and Dhirubhai

C Urmila and Jackie D Ratan and Madhuri

SET 47

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

bull 17 volunteers are involved in the TR project

bull The number of volunteers involved in the TR project alone is one less than the number of

volunteers involved in ER project alone

bull Ten volunteers involved in the TR project are also involved in at least one more project

158 Based on the information given above the minimum number of volunteers involved

in both FR and TR projects but not in the ER project is

A 1 B 3 C 4 D 5

159 Which of the following additional information would enable to find the exact

number of volunteers involved in various projects

A Twenty volunteers are involved in FR B Four volunteers are involved in all the three projects C Twenty three volunteers are involved in exactly one project D No need for any additional information

160 After some time the volunteers who were involved in all the three projects were

asked to withdraw from one project As a result one of the volunteers opted out of the TR

project and one opted out of the ER project while the remaining ones involved in all the

three projects opted out of the FR project Which of the following statements then

necessarily follows

A The lowest number of volunteers is now in TR project B More volunteers are now in FR project as compared to ER project C More volunteers are now in TR project as compared to ER project D None of the above

161 After the withdrawal of volunteers as indicated in Question 85 some new

volunteers joined the NGO Each one of them was allotted only one project in a manner such

that the number of volunteers working in one project alone for each of the three projects

became identical At that point it was also found that the number of volunteers involved in

FR and ER projects was the same as the number of volunteers involved in TR and ER projects

Which of the projects now has the highest number of volunteers

A ER B FR C TR D Cannot be determined

SET 43

Mathematicians are assigned a number called Erdoumls number (named after the famous

mathematician Paul Erdoumls) Only Paul Erdoumls himself has an Erdoumls number of zero Any

mathematician who has written a research paper with Erdoumls has an Erdoumls number of 1 For

other mathematicians the calculation of hisher Erdoumls number is illustrated below

Suppose that a mathematician X has co-authored papers with several other mathematicians

From among them mathematician Y has the smallest Erdoumls number Let the Erdoumls number

of Y be y Then X has an Erdoumls number of y + 1 Hence any mathematician with no co-

authorship chain connected to Erdoumls has an Erdoumls number of infinity In a seven day long

mini-conference organized in memory of Paul Erdoumls a close group of eight mathematicians

call them A B C D E F G and H discussed some research problems At the beginning of the

conference A was the only participant who had an infinite Erdoumls number Nobody had an

Erdoumls number less than that of F

bull On the third day of the conference F co-authored a paper jointly with A and C This

reduced the average Erdoumls number of the group of eight mathematicians to 3 The Erdoumls

numbers of B D E G and H remained unchanged with the writing of this paper Further no

other co-authorship among any three members would have reduced the average Erdoumls

number of the group of eight to as low as 3

bull At the end of the third day five members of this group had identical Erdoumls numbers while

the other three had Erdoumls numbers distinct from each other

bull On the fifth day E co-authored a paper with F which reduced the grouprsquos average Erdoumls

number by 05 The Erdoumls numbers of the remaining six were unchanged with the writing of

this paper

bull No other paper was written during the conference

162 The Erdoumls number of C at the end of the conference was

A 1 B 2 C 3 D 4

163 The Erdoumls number of E at the beginning of the conference was

A 5 B 6 C 7 D 8

164 How many participants had the same Erdoumls number at the beginning of the

conference

A 2 B 3 C 4 D 5

SET 44

K L M N P Q R S U and W are the only ten members in a department There is a proposal

to form a team from within the members of the department subject to the following

conditions

bull A team must include exactly one among P R and S

bull A team must include either M or Q but not both

bull If a team includes K then it must also include L and vice versa

bull If a team includes one among S U and W then it must also include the other two

bull L and N cannot be members of the same team

bull L and U cannot be members of the same team

The size of a team is defined as the number of members in the team

165 Who can be a member of a team of size 5

A K B L C M D P

166 Who cannot be a member of a team of size 3

A L B M C N D P

167 What could be the size of a team that includes K

A 2 or 3 B 2 or 4 C 3 or 4 D Only 4

168 In how many ways a team can be constituted so that the team includes N

A 2 B 3 C 4 D 6

SET 45

(i) There are three houses on each side of the road

(ii) These six houses are labeled as P Q R S T and U

(iii) The houses are of different colours namely Red Blue Green Orange Yellow and

White

(iv) The houses are of different heights

(v) T the tallest house is exactly opposite to the Red coloured house

(vi) The shortest house is exactly opposite to the Green coloured house

(vii) U the Orange coloured house is located between P and S

(viii) R the Yellow coloured house is exactly opposite to P

(ix) Q the Green coloured house is exactly opposite to U

(x) P the White coloured house is taller than R but shorter than S and Q

169 Which is the second tallest house

A P B S C Q D cannot be determined

170 What is the colour of the house diagonally opposite to the Yellow coloured house

A White B Blue C Green D Red

171 What is the colour of the tallest house

A Red B Blue C Green D Yellow

SET 46

A leading socialite decided to organise a dinner and invited a few of her friends Only the

host and the hostess were sitting at the opposite ends of a rectangular table with three

persons along each side The pre-requisite for the seating arrangement was that each person

must be seated such that atleast on one side it has a person of opposite sex Maqbool is

opposite Shobha who is not the hostess Ratan has a woman on his right and is sitting

opposite a woman Monisha is sitting to the hostessrsquos right next to Dhirubhai One person is

seated between Madhuri and Urmila who is not the hostess The men were Maqbool Ratan

Dhirubhai and Jackie while the women were Madhuri Urmila Shobha and Monisha

172 The eighth person present Jackie must be I the host II seated to Shobarsquos right III

seated opposite Urmila

A I only B III only C I and II only D II and III only

173 Which of the following persons is definitely not seated next to a person of the same

sex

A Maqbool B Madhuri C Jackie D Shobha

174 If Ratan would have exchanged seats with a person four places to his left which of

the following would have been true after the exchange

I No one was seated between two persons of the opposite sex (eg no man was seated

between two women)

II One side of the table consisted entirely of persons of the same sex

III Either the host or the hostess changed seats

A I only B II only C I and II only D II and III only

175 If each person is placed directly opposite his or her spouse which of the following

pairs must be married

A Ratan and Monisha B Madhuri and Dhirubhai

C Urmila and Jackie D Ratan and Madhuri

SET 47

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

Suppose that a mathematician X has co-authored papers with several other mathematicians

From among them mathematician Y has the smallest Erdoumls number Let the Erdoumls number

of Y be y Then X has an Erdoumls number of y + 1 Hence any mathematician with no co-

authorship chain connected to Erdoumls has an Erdoumls number of infinity In a seven day long

mini-conference organized in memory of Paul Erdoumls a close group of eight mathematicians

call them A B C D E F G and H discussed some research problems At the beginning of the

conference A was the only participant who had an infinite Erdoumls number Nobody had an

Erdoumls number less than that of F

bull On the third day of the conference F co-authored a paper jointly with A and C This

reduced the average Erdoumls number of the group of eight mathematicians to 3 The Erdoumls

numbers of B D E G and H remained unchanged with the writing of this paper Further no

other co-authorship among any three members would have reduced the average Erdoumls

number of the group of eight to as low as 3

bull At the end of the third day five members of this group had identical Erdoumls numbers while

the other three had Erdoumls numbers distinct from each other

bull On the fifth day E co-authored a paper with F which reduced the grouprsquos average Erdoumls

number by 05 The Erdoumls numbers of the remaining six were unchanged with the writing of

this paper

bull No other paper was written during the conference

162 The Erdoumls number of C at the end of the conference was

A 1 B 2 C 3 D 4

163 The Erdoumls number of E at the beginning of the conference was

A 5 B 6 C 7 D 8

164 How many participants had the same Erdoumls number at the beginning of the

conference

A 2 B 3 C 4 D 5

SET 44

K L M N P Q R S U and W are the only ten members in a department There is a proposal

to form a team from within the members of the department subject to the following

conditions

bull A team must include exactly one among P R and S

bull A team must include either M or Q but not both

bull If a team includes K then it must also include L and vice versa

bull If a team includes one among S U and W then it must also include the other two

bull L and N cannot be members of the same team

bull L and U cannot be members of the same team

The size of a team is defined as the number of members in the team

165 Who can be a member of a team of size 5

A K B L C M D P

166 Who cannot be a member of a team of size 3

A L B M C N D P

167 What could be the size of a team that includes K

A 2 or 3 B 2 or 4 C 3 or 4 D Only 4

168 In how many ways a team can be constituted so that the team includes N

A 2 B 3 C 4 D 6

SET 45

(i) There are three houses on each side of the road

(ii) These six houses are labeled as P Q R S T and U

(iii) The houses are of different colours namely Red Blue Green Orange Yellow and

White

(iv) The houses are of different heights

(v) T the tallest house is exactly opposite to the Red coloured house

(vi) The shortest house is exactly opposite to the Green coloured house

(vii) U the Orange coloured house is located between P and S

(viii) R the Yellow coloured house is exactly opposite to P

(ix) Q the Green coloured house is exactly opposite to U

(x) P the White coloured house is taller than R but shorter than S and Q

169 Which is the second tallest house

A P B S C Q D cannot be determined

170 What is the colour of the house diagonally opposite to the Yellow coloured house

A White B Blue C Green D Red

171 What is the colour of the tallest house

A Red B Blue C Green D Yellow

SET 46

A leading socialite decided to organise a dinner and invited a few of her friends Only the

host and the hostess were sitting at the opposite ends of a rectangular table with three

persons along each side The pre-requisite for the seating arrangement was that each person

must be seated such that atleast on one side it has a person of opposite sex Maqbool is

opposite Shobha who is not the hostess Ratan has a woman on his right and is sitting

opposite a woman Monisha is sitting to the hostessrsquos right next to Dhirubhai One person is

seated between Madhuri and Urmila who is not the hostess The men were Maqbool Ratan

Dhirubhai and Jackie while the women were Madhuri Urmila Shobha and Monisha

172 The eighth person present Jackie must be I the host II seated to Shobarsquos right III

seated opposite Urmila

A I only B III only C I and II only D II and III only

173 Which of the following persons is definitely not seated next to a person of the same

sex

A Maqbool B Madhuri C Jackie D Shobha

174 If Ratan would have exchanged seats with a person four places to his left which of

the following would have been true after the exchange

I No one was seated between two persons of the opposite sex (eg no man was seated

between two women)

II One side of the table consisted entirely of persons of the same sex

III Either the host or the hostess changed seats

A I only B II only C I and II only D II and III only

175 If each person is placed directly opposite his or her spouse which of the following

pairs must be married

A Ratan and Monisha B Madhuri and Dhirubhai

C Urmila and Jackie D Ratan and Madhuri

SET 47

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

bull A team must include exactly one among P R and S

bull A team must include either M or Q but not both

bull If a team includes K then it must also include L and vice versa

bull If a team includes one among S U and W then it must also include the other two

bull L and N cannot be members of the same team

bull L and U cannot be members of the same team

The size of a team is defined as the number of members in the team

165 Who can be a member of a team of size 5

A K B L C M D P

166 Who cannot be a member of a team of size 3

A L B M C N D P

167 What could be the size of a team that includes K

A 2 or 3 B 2 or 4 C 3 or 4 D Only 4

168 In how many ways a team can be constituted so that the team includes N

A 2 B 3 C 4 D 6

SET 45

(i) There are three houses on each side of the road

(ii) These six houses are labeled as P Q R S T and U

(iii) The houses are of different colours namely Red Blue Green Orange Yellow and

White

(iv) The houses are of different heights

(v) T the tallest house is exactly opposite to the Red coloured house

(vi) The shortest house is exactly opposite to the Green coloured house

(vii) U the Orange coloured house is located between P and S

(viii) R the Yellow coloured house is exactly opposite to P

(ix) Q the Green coloured house is exactly opposite to U

(x) P the White coloured house is taller than R but shorter than S and Q

169 Which is the second tallest house

A P B S C Q D cannot be determined

170 What is the colour of the house diagonally opposite to the Yellow coloured house

A White B Blue C Green D Red

171 What is the colour of the tallest house

A Red B Blue C Green D Yellow

SET 46

A leading socialite decided to organise a dinner and invited a few of her friends Only the

host and the hostess were sitting at the opposite ends of a rectangular table with three

persons along each side The pre-requisite for the seating arrangement was that each person

must be seated such that atleast on one side it has a person of opposite sex Maqbool is

opposite Shobha who is not the hostess Ratan has a woman on his right and is sitting

opposite a woman Monisha is sitting to the hostessrsquos right next to Dhirubhai One person is

seated between Madhuri and Urmila who is not the hostess The men were Maqbool Ratan

Dhirubhai and Jackie while the women were Madhuri Urmila Shobha and Monisha

172 The eighth person present Jackie must be I the host II seated to Shobarsquos right III

seated opposite Urmila

A I only B III only C I and II only D II and III only

173 Which of the following persons is definitely not seated next to a person of the same

sex

A Maqbool B Madhuri C Jackie D Shobha

174 If Ratan would have exchanged seats with a person four places to his left which of

the following would have been true after the exchange

I No one was seated between two persons of the opposite sex (eg no man was seated

between two women)

II One side of the table consisted entirely of persons of the same sex

III Either the host or the hostess changed seats

A I only B II only C I and II only D II and III only

175 If each person is placed directly opposite his or her spouse which of the following

pairs must be married

A Ratan and Monisha B Madhuri and Dhirubhai

C Urmila and Jackie D Ratan and Madhuri

SET 47

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

171 What is the colour of the tallest house

A Red B Blue C Green D Yellow

SET 46

A leading socialite decided to organise a dinner and invited a few of her friends Only the

host and the hostess were sitting at the opposite ends of a rectangular table with three

persons along each side The pre-requisite for the seating arrangement was that each person

must be seated such that atleast on one side it has a person of opposite sex Maqbool is

opposite Shobha who is not the hostess Ratan has a woman on his right and is sitting

opposite a woman Monisha is sitting to the hostessrsquos right next to Dhirubhai One person is

seated between Madhuri and Urmila who is not the hostess The men were Maqbool Ratan

Dhirubhai and Jackie while the women were Madhuri Urmila Shobha and Monisha

172 The eighth person present Jackie must be I the host II seated to Shobarsquos right III

seated opposite Urmila

A I only B III only C I and II only D II and III only

173 Which of the following persons is definitely not seated next to a person of the same

sex

A Maqbool B Madhuri C Jackie D Shobha

174 If Ratan would have exchanged seats with a person four places to his left which of

the following would have been true after the exchange

I No one was seated between two persons of the opposite sex (eg no man was seated

between two women)

II One side of the table consisted entirely of persons of the same sex

III Either the host or the hostess changed seats

A I only B II only C I and II only D II and III only

175 If each person is placed directly opposite his or her spouse which of the following

pairs must be married

A Ratan and Monisha B Madhuri and Dhirubhai

C Urmila and Jackie D Ratan and Madhuri

SET 47

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

Five of Indiarsquos leading models are posing for a photograph promoting ldquoyrsquoknow world peace

and understandingrdquo But then Rakesh Shreshtha the photographer is having a tough time

getting them to stand in a straight line because Aishwarya refused to stand next to Sushmita

because Sushmita had said something about her in a leading gossip magazine Rachel and

Anu want to stand together because they are ldquosuch good griends yrsquoknowrdquo Manpreet on the

other hand cannot get along well with Rachel because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet Anu believes her friendly

astrologer who has asked her to stand at the extreme right for all group photographs

Finally Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls

smiling beautifully in a beautiful straight line promoting world peace

176 If Aishwarya is standing to the extreme left which is the girl standing in the middle

A Manpreet B Sushmita C Rachel D Canrsquot say

177 If Aishwarya stands to the extreme left which is the girls who stands second from

left

A Canrsquot say B Sushmita C Rachel D Manpreet

178 If Anursquos astrologer tells her to stand second from left and Aishwarya decides to

stand second from right then who is the girl standing on the extreme right

A Rachel B Sushmita C Canrsquot say D Manpreet

SET 48

The primitive tribes-folk of the island of Lexicophobos have recently developed a language

for themselves which has a very limited vocabulary In fact the words can be classified into

only three types the Bingoes the Cingoes and the Dingoes The Bingoes type of words are

Grumbs Harrumphs Ihavitoo The Cingoes type of words are Ihavitoo Jingongo Koolodo

The Dingoes type of words are Lovitoo Metoo Nana They have also devised some rules of

grammar

I Every sentence must have only five words

II Every sentence must have two Bingoes one Cingo and two Dingoes

III If Grumbs is used in a sentence Ihavitoo must also be used and vice versa

IV Koolodo can be used in a sentence only if Lovitoo is also used

179 Which choice of words in a sentence is not possible if no rules of grammar are to be

violated

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

A Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo

B Harrumphs and Ihavitoo as the Bingoes

C Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes

D Metoo and Nana as the Dingoes

180 If Grumbs and Harrumphs are the Bingoes in a sentence and no rule of grammar is

violated which of the following isare true I Ihavitoo is the Cingo II Lovitoo is the Dingo III Either Lovitoo or Metoo must be one of - or both - the Dingoes A I only B II only C III only D I amp III only

181 Which of the following is a possible sentence if no grammar rule is violated

A Grumbs harrumphs ihavitoo lovitoo metoo

B Grumbs harrumphs ihavitoo jingongo lovitoo

C Harrumphs ihavitoo jingongo lovitoo metoo

D Grumbs ihavitoo koolodo metoo nana

182 If in a sentence Grumbs is the Bingo and no rule of grammar is violated which of

the following can be true

A Harrumphs must be a Bingo B Ihavitoo must be a Bingo

C Lovitoo must be used D All three Bingoes are used

SET 49

Four families decided to attend the marriage ceremony of one of their colleagues One

family has no kids while the others have at least one kid each Each family with kids has

atleast one kid attending the marriage Given below is some information about the families

and who reached when to attend the marriage The family with 2 kids came just before the

family with no kids Shanthi who does not have any kids reached just before Sridevirsquos family

Sunil and his wife reached last with their only kidAnil is not the husband of Joya

Anil and Raj are fathers Sridevirsquos and Anitarsquos daughter go to the same school Joya came

before Shanthi and met Anita when she reached the venueRaman stays the farthest from

the venue Raj said his son could not come because of his exams

183 Which woman arrived third

A Shanthi B Sridevi C Anita D Joya

184 Name the correct pair of husband and wife

A Raj and Shanthi B Sunil and Sridevi C Anil and Sridevi D Raj and Anita

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

185 Of the following pairs whose daughters go to the same school

A Anil and Raman B Sunil and Raman C Sunil and Anil D Raj and Anil

186 Whose family is known to have more than one kid for certain

A Ramanrsquos B Rajrsquos C Anilrsquos D Sunilrsquos

SET 50

Abdul Bikram and Chetan are three professional traders who trade in shares of a company

XYZ Ltd Abdul follows the strategy of buying at the opening of the day at 10 am and selling

the whole lot at the close of the day at 3 pm Bikram follows the strategy of buying

at hourly intervals 10 am 11 am 12 noon 1 pm and 2 pm and selling the whole lot at the

close of the day Further he buys an equal number of shares in each purchase Chetan

follows a similar pattern as Bikram but his strategy is somewhat different Chetanrsquos total

investment amount is divided equally among his purchases The profit or loss made by each

investor is the difference between the sale value at the close of the day less the investment

in purchase The ldquoreturnrdquo for each investor is defined as the ratio of the profit or loss to the

investment amount expressed as a percentage

187 Which one of the following statement is always true

A Abdul will not be the one with the minimum return

B Return for Chetan will be higher than that of Bikram

C Return for Bikram will be higher than that of Chetan

D None of these

188 On a day of fluctuating market prices the share price of XYZ Ltd ends with a gain

ie it is higher at the close of the day compared to the opening value Which trader got the

maximum return on that day

A Bikram B Chetan C Abdul Dcannot be determined

189 On a ldquoboomrdquo day the share price of XYZ Ltd keeps rising throughout the day and

peaks at the close of the day Which trader got the minimum return on that day

A Bikram B Chetan C Abdul D Abdul or Chetan

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

Answers and Explanations

SET 1 1 B

Each correct answer fetches 12 marks while each incorrect answer deducts 4

marks from the score Therefore the score of a student on account of attempted

(either correct or incorrect) questions is a multiple of 4

If a student attempts 6 or more questions there will be no penalty for

skipped questions Therefore the score of the student in that case will be a

multiple of 4 None of the options for the question is a multiple of

4 Therefore the student attempted fewer than 6 questions

If a student attempts 5 questions and skips 5 questions heshe will lose

one mark on account of skipped questions (0 times 4 + 1 times (5 ndash 4) =

1 Therefore the score of the student can be of the form 4n ndash 1 Two options 43

and 27 are of the form 4n ndash 1 A student can score 43 if heshe gets 4 answers

correct 1 incorrect and skips 5 Similarly a student can get 27 if heshe gets 3

answers correct 2 incorrect and skips 5

If a student attempts 4 questions and skips 6 questions heshe will lose

two marks on account of skipped questions (0 times 4 + 1 times (6 ndash 4) =

2 Therefore the score of the student will be of the form 4n ndash 2 Both the

remaining options are of the form 4n ndash 2

A student can score 30 marks if heshe gets 3 answers correct 1 incorrect

and skips 6

If a student attempts 3 questions the number of questions skipped would be

7 In that case heshe will lose 3 marks on account of skipped questions 0 times 4 +

1 times (7 ndash 4) = 3 In that case the maximum score a student can score can be 12 times 3

ndash 3 = 33 If a student attempted fewer than 3 questions the maximum score will

be even lower

Therefore it is not possible to score 34

2 A

If a student attempted 28 questions the number of questions skipped = 6 and

the number of marks lost on account of skipped questions = (0 times 4) + 1 times (6 ndash 4) =

2

If out of 28 questions attempted a student gets (x) correct

and (28 ndash x) incorrect the score of the student will be 12 times x ndash 4(28 ndash x) ndash 2 = 16x

ndash 112 ndash 2 = 16 times (x ndash 7) ndash 2 Therefore the score of the student will be of the form

16n ndash 2 Out of the given options only 62 is of the form 16n ndash 2 If a student gets

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

11 answers correct 17 incorrect and skips 6 the score will be 11 times 12 ndash 17 times 4 ndash 2

= 62

3 [31]

The score of the student is 100 a multiple of 4 If a student doesnrsquot

lose any mark on account of skipped questions hisher score will be a multiple of

4 as seen in the explanatory answers to previous questions Letrsquos first check if a

score of 100 can be obtained in the section if up-to 4 questions are skipped (or

3031323334 questions are attempted)

If x is the number of correct answers and y is the number of incorrect answers

we have

12x ndash 4y = 100 and

x + y = 30 or 31 or 32 or 33 or 34

A valid solution is the one that gives values of x and y that are natural numbers

We have x = 14 and y = 17 are the natural number values of x and y that satisfy

the equations Therefore the maximum number of questions that a student can

attempt and get a score of 100 is 31

4 [26]

As seen in the explanatory answers to the previous questions the

marks obtained by a student due to attempted questions is a multiple of 4 Since

the score of the student is 100 (a multiple of 4) the marks lost by the student

from skipped questions is also a multiple of 4

The marks that are multiples of 4 that a student can lose on account of skipped

questions can be 481224283236hellip Accordingly we get the following table

It can be seen that a student can score 100 marks if heshe gets 13 answers

correct 13 answers incorrect and skips 8 questions However it is not possible to

get the marks equal to the marks shown in the fourth row of the table by

attempting the number of questions equal to the number in the second row of

the table for other cases

Therefore the required answer is 26

SET 2

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

5 A

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

In every round each of them has lost $1 For both to lose the number rolled in each round must be 1 Hence the total must be 5

6 C

We can list out the numbers for which each of the players will win lose or break

even

Lose $1 Gain $1 NO gain or loss

Adam 1 or 2 5 or 6 3 or 4

Paco 1 or 4 3 or 6 2 or 5

If the number rolled is 2 or 3 Paco has $1 more than Adam If the number is 4 or 5 Adam has $1 more than Paco If the number is 1 or 6 they both gain or lose the equal amount So if 3 different numbers are rolled the maximum Adam can gain over Paco is $2 (if the numbers are 4 5 and either 1 or 6) and similarly the maximum Paco can gain over Adam is $2 (if the numbers are 2 3 and 1 or 6)

7 D

Adam must have won 3 and made no gain or loss in 1 Paco must have won 3 and

lost 1 or else won 2 and made no gain or loss in 2 Let us try out the cases

In following cases Adam can win 3 coins in 4 rounds

So there are two cases where Adam wins 3 coins and Paco wins 2 coins Sum of the numbers of these 2 cases Case 1 3 + 5 + 5 + 6 = 19 Case 2 4 + 6 + 6 + 6 = 22

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

8 B

At the end of three rounds starting from 5 the values achieved by each of the

players must range between 2 and 8 So the cases in which one has double the

amount of the other will be (4 2) (6 3) or (8 4)

Case 1 (4 2) For Pablo to get 2 he must lose all three rounds while Andrew to

get 4 must lose one round and have no gain or loss in the other two This can be

achieved by the rolls 1 4 4 So option [1] is possible

Case 2 (6 3) For Pablo to get 3 he must lose two rounds and neither gain nor

lose in one

(i) Andrew on the other hand must gain in two rounds and have a loss in one round It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable (ii) Andrew on the other hand must gain in one round and have no loss or gain in the other two This can be achieved by the rolls 5 4 4 So option [3] is possible Case 3 (8 4) For Andrew to reach 8 he must win all three rolls Also For Pablo to reach 4 he must lose at least 1 It is not possible for Andrew to win and for Pablo to lose in the same round and hence this case is not achievable So option [2] can never be true

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

SET 3

9 B

10 B

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

11 C

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

12 A

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

SET 4 13 C

The required ratio =2800 8000 = 7 20

14 [2400]

2400 male adults are non-vegetarians

15 [4800]

14400 ndash 9600 = 4800

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

16 C

SET 5 We can use the expected answer keys released by the three institutes to calculate the expected scores of the four students as per the three coaching institutes Keeping in mind that each correct answer fetches 3 marks each incorrect MCQ answer fetches -1 mark and each unattempted question fetches 0 mark we get the following

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

Now all the questions can be answered

17 [0]

It can be seen that the minimum sectional cut-off predicted by each of the

three institutes is 4 If a student gets less than 4 marks in a section heshe will

not clear the cut-offs It can be seen that each student scored less than 4 marks

in at least one section as per the expected answer key released by at least two

institutes Therefore no student meets the cut-off criteria as expected by at least

two institutes

Therefore the required answer is 0

18 [1]

It can be seen that only Amit met the criteria for sectional as well as overall cut-

offs

Therefore the required answer is 1

19 A

20 A

It can be seen that institute P had answers to 10 questions out of 15 that

matched with the answers given in the official answer key released by NIMB For

other institute the number is less than 10

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

SET 6 As each team won a different number of matches the values can be 0 1 2 3 and 4 Same is the case with the number of matches lost And the team who has won all the four matches must be the team who lost none Similarly the sum of the number of matches won and lost for any team will be 4 (This is since both the number of matches won are distinct for teams and the number of matches lost are also distinct and there is a total of 1 + 2 + 3 + 4 = 10 matches) From (IV) and (V) only Chandigarh Kings and Kolkata Riders can be the teams who either won all the four matches or lost all the four matches But given that Kolkata Riders has lost more matches than Hyderabad Volcanoes hasThis implies that Kolkata Riders has lost to the remaining four teams and won none Their lsquoLossrsquo is 40 This implies that Chandigarh Kings has won against the remaining four teams and lost to none Their lsquoProfitrsquo is 37 Given that the number of matches won by Hyderabad Volcanoes is equal to the number of matches lost by Jaipur Royals This implies 1 and 3 matches for each of them This also implies Bangalore Masters has won against two teams and lost to two teams The team won against Kolkata Riders and Jaipur Royals As Jaipur Royals lost to Bangalore Masters and Chandigarh Kings the team must have lost three matches and won one The values of the same are just the opposite for Hyderabad Volcanoes Number of matches won by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 1 4 0 3 and 2 respectively Number of matches lost by Jaipur Royals Chandigarh Kings Kolkata Riders Hyderabad Volcanoes and Bangalore Masters are 3 0 4 1 and 2 respectively

21 [1]

Jaipur Royals won only one match Therefore the required answer is 1

22 [0]

Chandigarh Kings won all the matches Therefore the required answer is 0

23 [28]

24 C

Hyderabad Volcanoes won three matches

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

SET 7 By using information we can fill the table completely

25 D

By observation we can see class 9 2015 class 7 2016 class 7 2017 class 9

2017 and class 10 2017 pass percentage is more than 90

26 D

Total number of students in class 9 in 2017 = new admission in class 9 in 2017 +

students failed in previous year + students did not write exam in previous year +

students passed in class 8th in previous year

Thus 818 = new admissions + 115 + 6 + 697 So new admission = 0

27 C

The required answer is = 21 + 0 + 6 + 21 = 48

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

28 B

SET 8 29 C

30 B

31 D

32 B

The total sale of books on category Crime and Fiction are 8000 As Fiction ranks

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

6th Crime has to rank 7th Thus the fiction category sale is more than 4000 and

the Crime category sale is less than 4000 But the sale has to be greater than

1000 as the sale of each miscellaneous category is 1000

SET 9

33 B

The consumption of Phosphate and Potash is 35 Total consumption which is in

the rate 21 ie 2333 and 1167 The individual consumption of Nitrogen was

065 times 52 = 338 lakh tonnes Similarly the consumption of Phosphate and Potash

was 1213 lakh tonnes and 606 lakh tonnes respectively

34 D

35 C

The estimated consumption in 1997ndash1998 = (11 x 106 x 52 x 125)08 = 9474

lakh tonnes

The short fall of fertilizer is 9474 ndash 87 = 774 lakh tonnes

36 A

SET 10

37 D

38 B

39 A

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

40 B

SET 11

41 B

Total amount 1st February 2014 = 10 +3 = Rs 13 lakhs

Bank Shares Real estate

78 lakhs 26 26

For 1st year value in bank will increase by 15 So total value will be 115 times of previous value Hence value after 1 year in bank = 78115 = 897 For the first year share value increases by 15 Hence value after 1 year in shares = 2615 = 299 Similarly Value after 1 year in real estate = 2611 = 286 Total value in 2015 = Rs 1482 lakhs

42 C

Money in bank = 78(1+05)3 = 78152= 1186 (use compound interest formula

for three years)

For the first year share value increases by 15 for the second year it increases by 6 and for the third year it decreases by 10 So value of share at the end of three years is 261110609 = 2852 Similarly Value of real estate = 261109 = 2574 Total value = 17286

43 B

Value of investment on 1st February 2014 = 13 lakhs

Value of investment on 1st February 2015 = 1482 lakhs Value of investment on 1st February 2016 = 16063 Value of investment on 1st February 2017 = 17286 It is clearly seen that maximum increase is in 2015 SET 12 Note down the given data and make calculation as per as the requirement TOTAL=1650 MF=8679 then we can find the number of males and females as follows 86+79=165=1650 1=10 86=860 (total number of male)

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

79=790 (total number of female) Males in Product Development department= 198 18 employees work in Sales and Marketing department ie (18100)1650=297 Male to female ratio is 54 in the Sales and Marketing department so 5+4=9=297 Therefore number of male in this department=533=165 and the number of female in this department=433=132 Number of Male in Finance department=77 and female in this department is 57th of male So number of female in this department= (57)77=55 Number of males in Sales and Marketing department is equal to the number of females in Product Development department So number the number of female in Product Development= 165 Number of males in Finance department is half of the number of males in HR department So the number of male in HR department=277=154 Male to female ratio in R amp D and Reinvestment department is 1419 Number of males in R amp D and REINVESTMENT= 860-(198+165+77+154) = 266 14=266 so 19=1919=361 (Number of female in R amp D and REINVESTMENT) Number of female in HR department= 790-(165+132+361+55) =77

PRODUCT DEVELOPMENT

SALS amp MARKETING

RampD AND REINVESTMENT

FINANCE

HR TOTAL

MALE 198 165 266 77 154

860

FEMALE

165 132 361 55 77 790

TOTAL 363 297 627 132 231

1650

44 [101]

Male in R amp D and Reinvestment=266 Female in Product Development=165 So

the number of males in R amp D and Reinvestment department is more than

females in Product Development= 266-165=101

45 [46]

The total number of females=790 So (361790)100=457V

46 [67]

Female in Product Department=165 So (165-55)165100= (13) 200=

33(13)2=66(23)

SET 13 Total number of students=1600 Number of students in Dentistry= 45 of 1600= 720 Number of students in Homeopathy= 1600-720=880 Ratio of boys and girls studying Dentistry= 53 Number of boys studying Dentistry= (58) 720= 450

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

Number of girls studying Dentistry= (38) 720= 270 Ratio of boys and girls studying Homeopathy= 47 Number of boys studying Homeopathy= (411) 880= 320 Number of girls studying Homeopathy= (711) 880= 560 Now make a diagram to put these values

47 A

16 of 450 + 10 of 450= 117 20 of 270 + 10 of 270= 81 On adding these

two we get 198

48 C

12 of 450 + 10 (320+560+270) =169

49 A

[(50 of 270 + 50 of 560) (270 +560)] 100=50

50 D

30 of 320 + 35 of 560= 292

SET 14 Total Number of students = 400 Ratio of boys and girls B G = 3 5 Number of boys = 38 x 400 = 150 Number of girls = 58 x 400 = 250 Organise the data in a systematic order Here we have arranged them in a form of table

Only Hindi Only English Both the languages

Number of Boys(150)

12 of 150 = 18 150 ndash 18 ndash 108 = 24

6 x 18 = 108

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

Number of Girls (250)

96 ndash 18 = 78 22 of 250 = 55 250 ndash 78 ndash 55 = 117

Total number of students (400)

24 of 400 = 96 79 225

51 [126]

Number of boys who speak only Hindi = 18

Number of boys who speak Hindi + English = 108 18 + 108 = 126 Therefore the number of boys who speak Hindi are 126

52 [78]

From the table above we get to know that number of girls who speak only

Hindi are 78

53 [304]

Total number of students ndash Number of students who speak only Hindi

400 ndash 96 = 304 Therefore the number of students who speak English are 304

54 [81]

Number of girls who speak Hindi ndash 78 [x]

Total number of students who speak only Hindi ndash 96 [y] As we need to find the percentage change we know that xy x 100 7896 x 100 8125 SET 15

55 C

56 D

57 B

58 A

SET 16

59 D

Let the amount received by Ghosh Babu in Dec 1991 be Rs x as retirement

benefits Therefore investment in the month of Jan 1992 = 100 Profit of 25 at

the end of Jan 1992 Hence investment in the month of Feb 1992 = 125 Loss of

20 at the end of Feb 1992 Hence investment in the month of March 1992 =

100 Profit of 20 at the end of March 1992 Hence investment in the month of

April 1992 = 120 Loss of 10 at the end of April 1992 Therefore the amount left

at the end of April 1992 = 108 Amount at the end of April 1002 = Rs 108000

Therefore simply equating figures he would have started with Rs 100000

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

60 A

Profit between Jan 1 and Apr 30 = (108x - xx) X 100

61 B

Investment in the month of April = Rs 120000 Amount received at end of April

= Rs 108000 Therefore Loss = Rs 12000

62 B

Maximum amount invested by Ghosh Babu is in the month of February = Rs

125000

SET 17

63 D

Required = (182+156+65)

1560 x 100 =

4030

156 = 2583 = 26

64 C

Required ratio = 130 385 = 26 77

65 B

Required = 65 times100

182 = 3571

66 D

(78 + 182 + 70 + 104) = 434

SET 18

67 B

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

200 million = 20 of population rArr Population = 200 times 5 = 1000 million = 100 crore

68 B

2004 population = 1000 million Population in 2008 or after 4 years = 560 times 2 = 1120 million there4 Growth rate = (120 times 100)(1000 times 4) = (124) = 3 per annum simple growth rate

69 C

Hotel users in 2004 = 200 million Hotel users in 2008 = 560 million there4 Growth in percentage =(560 - 200)200=360200=180

70 A

Total revenue in 2004 = 50 billion Total revenue in 2008 = 150 billion there4 Growth in percentage =(150 - 50)50times100=10050=200

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

SET 19

71 B

Born 100 rArr 10 die at infancy 90 rArr 10 die till age 5 80 rArr 23times12times80 go to school there4 Who attend Std V =80times13times04=1066

72 D

Number of child labourers in India =(90times115)crore = 6 crore 73 A

Out of 100 born 20 die by the age of 5 Number of child labourers in Orissa and Bihar =13times80 cong 27

74 D

Since we do not know how many children reach Std X the answer cannot be found SET 20

EARTH

MARS

JUPITER

TOTAL

SALES REVENUE

SALES

REVENUE

SALES REVENUE

SALES

REVENUE

CSP

2000 30000 100 1000 300 2400 2400 33400

CC 45 675 72 720 2483 19864 2600 21259

CP 600 9000 1200 12000 1000 8000 2800 29000

TTL

39675 13720 30264

75 B

76 D

77 A

SET 21

78 A

79 D

80 D

81 C

SET 22

82 A

Quarters means 3 months each

Ratio of investments in 2nd quarter ndash 1 4 2 so let amounts ndash x 4x 2x

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

Ratio of investments in 3rd quarter ndash 3 2 3 so let amounts ndash 3y 2y 3y In last quarter respective amount is double then in 2nd quarter so amounts ndash 2x 8x 4x In the last quarter the ratio of investments was same as in 2nd quarter mdash this is not required to solve question Given (2000 + 2x + 3y) = 1400 + (800+x+3y) Solve x = Rs 200 Now ratio of profit share mdashA B C is 8003 + x3 + 3y3 + 2x3 16003 + 4x3 + 2y3 + 8x3 20003 + 2x3 + 3y3 + 4x3 3 gets cancelled gives (800+3x+3y) (1600+12x+2y) (2000+6x+3y) Put x = 200 gives 1400+3y 4000+2y 3200+3y Now given (4000+2y)(1400+3y + 4000+2y + 3200+3y) = 66153 (2000+y)(4300+4y) = 2251 Solve y = Rs 200 So now the total investment ismdash(800+3x+3y) + (1600+12x+2y) + (2000+6x+3y) = (4400 + 21x + 8y) put x = 200 y = 200 total investment = Rs 10200

83 D

800 1600 2000 as it is for 3 months and then for next 9 months x 4x and 2x

So ratio of profit share ndash A B C is

8003 + 2009 16003 + 8009 20003 + 4009 7 20 16 So profit share of A = 743 19350 = Rs 3150

84 C

New investments ndash 3z 2z and 2z

Investment of A = (800+3x+2z) B = (1600+12x+4z) and C =(2000+6x+1z) Put x = 200 A = 1400+2z B = 4000+4z C = 3200+1z Now given (1400+2z + 4000+4z + 3200+1z)3 = 3100 Solve z = Rs 100 So total investment for quarter 3 = 2z+4z+z = 7z = Rs 700 SET 23

Satana Amin Nilokheri Gharaunda Samalkha

Total Population

3550 4000 3000 2600 4400

BPL 1278 1160 1200 1222 3213

85 B

86 C

87 D

88 D

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

SET 24 Let the quantity of Rasgulla Rasmalai and Kalakand be 6x 10x and 9x

respectively

Total quantity of Kalakand = 18900

420 = 45kg

Total quantity of Rasgulla = 45 x 69 = 30kg

Total quantity of Rasmalai = 45 x 109 = 50kg

Now SP of Kalakand = (100 + 275

21) x 420100 = 475

MP of Kalakand = 475 x 10095 = 500

Now SP of Rasmalai = ( 90

100) x 500 = 450

CP of Rasgulla = [46400 ndash (50 x 400) ndash (45 x 420)]

30 = 250

Profit per kg Rasgulla = [5875 ndash (50 x 50) ndash (45 x 55)]

30 = 30

SP per kg of Rasgulla = 250 + 30 = 280

And MP per kg of Rasgulla = 140

100 x 250 = 350

Sweets Quantity(kg) CP(in

RsKg)

MP(RsKg) SP(RsKg) Profit(RsKg)

Rasgulla 30 250 350 280 30

Rasmalai 50 400 500 450 50

Kalakand 45 420 500 475 55

89 B

Required average cp = 46400125 = 3712

90 D

New sp = (80100)times475 = 380

Loss = (40420)times100 = 9 11

21 loss

91 C

Total sweets bought = 30 + 50 + 45 = 125 kg

92 A

Total CP = 50 times 400 = 20000

Total SP = 40 times 450 = 18000

Loss =10

SET 25

93 A

94 D

95 D

96 C

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

SET 26 97 B

98 D

99 D

100 B

SET 27 101 D

102 A

103 C

104 D [Simple calculation based questions]

SET 28

Category Mechanical Civil Electrical Biotechnology Computer Science Total

Male 198 165 266 77 154 860

Female 165 132 361 55 77 790

Total 363 297 627 132 231 1650

The questions can be solved using this table

105 [101] Male in electrical = 266

Females in mechanical = 165 So the number of males in electrical department is (266 ndash 165) = 101 more than females in mechanical

106 [46]

Total number of females in electrical = 361

So females in electrical department are (361 790) x 100 = 457 of the total

number of females in the college

SET 29

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD X X+125 2888 3000 1225X

PRICE UNIT 50000 52500 50000 57750 60250

TOTAL SALES

YEAR 90-91 91-92 92-93 93-94 94-95

UNITS SOLD 2500 2625 2888 3000 3063

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

PRICEUNIT 50000 52500 50000 57750 60250

TOTAL SALES 125crore 1378crore 1444crore 1732crore 1845crore

107 B

The 125crores rupees sales of the motorcycles in 1990-91

108 B

2500 motorcycles sold in 1990-91 there4 2500 + 125 = 2625 motorcycles are sold in 1991-92(No of motorcycles sold increased by 125 in 1991-92)

109 C

Number of motorcycles sold = 2500 +2625 + 2888 + 3000 + 3063 = 14076

110 C

Similarly price in 1993-94 = Rs 57750

SET 30

Kg Euroc

Jlen 42 504

Dlen 38 456

Plen 55 660

Slen 46 552

Olen 17 204

111 A

As shown above the weight of Plen is 55 Kg

112 D

113 A

Weight of Plen is 5538=145 that of Dlen

114 C

Required percentage = 42 - 38 42 X 100 = 95

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

SET 31

TOTAL MALE FEMALE

Accounts 900 350 550

Maintenance-admin department

750 450 300

HR 300 60 240

Production 1500 1500 0

RampD 450 200 250

Marketing 1100 600 500

115 C

Total number of males in RampD department = 450 (49) = 200 Total number of employees in marketing department = 1100-500 =600 Percentage of total number of males in RampD department to the total number of males in the marketing department = (200600) 100 =1003 = 33 13

116 D

Total no of females in HR = 240 Total no of males in maintenance- admin department = 450 Percentage increasedecrease in total no of females in = (450-240)450100 HR department to the total no of males = (210450)100 Maintenance ndash admin department = 4666

117 B

Total number of males in marketing department = 600 Total no of females in accounts department = 550 Difference = 50

118 A

Males in Hr department = 60

Females in maintenance ndash admin department = 300

Ratio between two = 60300 = 15

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

SET 32 Total population = 600000 Total Male and Female = (53) Male= 375000 Female= 225000 Literate male to illiterate male 41 So Literate male= 300000 Illiterate male = 75000 Population of village A to B is 1713 A=340000 B=260000 Males in villages Males in village A to b is 78 So males in Village A= 175000 Males in village B = 200000 Females in village Females in village A =165000 Females in village B =6000 Adult is 80=480000 Child is 2=12000 Senior c =108000

119 C

Literate people = 300000 + 78750 = 378750

Senior Citizens= 108000

Difference = 270750

120 B

Total literate males = 3 00 000 From village A (45) = 3 00000 (45100) =135000 Illiterate females = 1 46250 = (135000146250) 100 =923 =92

121 D

Males in Village B = 2 00 000 Adult females in survey = 1 80000 Ratio = 200000180000 = 109

122 A

Total number of children = 12000 Difference of populations Of Village A to B = 340000 -260000 = 80000 = (80000 -12000) 80000 100 = (6880) 100 = 85

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

SET 33

123 A

The number of females working in the Tech Mahindra company TCS company and Infosys company together = 63 + 330 + 191 = 584 Required percentage = 584900 times 100 = 6488

124 D

Number of females is TCS and Infosys Company = 330 + 191 = 521

Required percentage =521 (630 + 63) times 100 = 521693 times 100 = 7518

125 D

Number of males in Infosys company and number of females to the Oracle company

together = 330 + 216 = 546

Number of males in Tech Mahindra company and number of females to the TCS

company together = 630 + 330 = 960

Difference = 960 ndash 546 = 414

126 B

Males working in Wipro company = 185

Females working in Infosys company = 191

Required percentage = (185 + 191)1500 times 100 = 3761500 times 100 = 2506 = 25

SET 34

127 C

Number of girls enrolled for only Japan tour and number of boys enrolled for only

Switzerland tour together = 130 + 182 = 312

Number of boys enrolled for the only Japan tour and number of girls enrolled for

only Switzerland tour together = 385 + 65 = 450

Ratio = 312 450 = 52 75 128 B

Required percentage

Total number of girls for only Switzerland Russia and Japan = (130 + 182 + 65) = 377

Total number of Boys for only Switzerland Russia and Japan = (385 + 91 + 182) = 658

= 377658 times 100 = 5729

129 A

Required number of students = (70 + 65) + 156 + 104 = 135 + 156 + 104 = 395

130 D

Total number of boys enrolled for Switzerland tour

= 182 + 70 + 104 + 78 = 434

= 65 + 156 + 52 + 65 = 338

Total = 434 + 338 = 772

SET 35

From the diagram 114 - (14 -X+X+15 -X) = 114 ndash (29-X) = 90 there4 X = 90 ndash 85 = 5 Hence 5 students liked all the three music The number of students liked only folk music = 50 - (9+5+6) = 30 The number of students liked only classical music = 41 - (10+5+6) = 20

131 A

The number of students like only folk music = 50 ndash (20) = 30

Hence number of students liked folk music but not rock music = 30 +6 =36

132 D

The number of students liked rockamp folk only = 14 ndash 5 = 9

The number of students liked folkamp classical only = 6

The number of students liked classicalamp rock only = 15 ndash 5 =10

there4 Number of students who liked any two types only = 9 + 6 + 10 = 25

133 C

The number of students who liked any one of the three types is

90+30+20+ 9+6+10+5 = 170

Hence number of students who did not like any of the three types is

200 ndash 170 = 30 students

134 C

Required ratio = (rock + classical) (only folk) = (114+41) 30 = 155 30 = 31 6

SET 36

The number of customers purchased cotton material = 50100 times 300 = 150 The number of customers purchased silk material = 60100 times 300 = 180 The number of customers purchased chiffon material = 40100 times 300 = 120 Given that d+ e+ f = 90 there4 d+ e = 90 ndash 30 =60 ----------- (1) Also given b = c + 20 --------- (2) To find g 20 of 150 = 20100 times 150 = 30 g=30 To find a a + d + e + g = 150 a + 60 + 30 = 150 a = 150 ndash 90 = 60 a = 60 To find remaining variable b + d + g + f = 180 b + d + 30 + 30 = 180 there4 b + d = 120 -------------- (3) c + e + g + f = 120 c + e + 30 + 30 = 120 there4 c + e = 60 --------------- (4) Substitute (1) (2) and (4) in (3)

b + d = 120 (c +20) + (60 - e) =120

(60 ndash e +20) + (60 - e) = 120 e = 10 From (4) c + e = 60 c = 60 ndash e = 60 ndash 10 c = 50 Hence b = c + 20 = 50 +20 there4 b = 70 And d = 60 ndash e = 60 ndash 10 there4 d = 50

135 B

a + b+ c = 60 + 70 + 50 = 180

136 C The customers who purchased at least two types of materials

d + e + f + g = 10 + 50 + 30 + 30 = 120

137 D

Required percentage = 70 30 times 100 = 23333

138 D

The number of customers who purchased at least one type of material is

60 + 70 + 50 + 10 + 30 + 50 + 30 = 300

The number of customers visited the shop = 300

Hence all the customers are purchased the dress material

So the answer is option D none

SET 37 There are 6 teams A B C D E and F middot There are 3 matches in stage 1 and 2 matches in stage 2 middot Each team plays against other once only middot There are no ties in the game One by one we will interpret all the points given in stage 1 and use x to denote no match between two teams and won amp loss for signifying winning and losing teams The first statement is middot One team won all 3 matches But at this moment we have no other information about which team has lost or won so we will get back to this point later middot Two teams lost all matches Though it is a useful piece of information as out of 6 teams 2 lost all but we have no further info about which team hence we will move on middot Next is D lost to A Thus we will write lost in row 5 and column 1 Also we will rule out D as the team who won all matches Also it won against C and F Since no team can play against each other Therefore we have put x there Also as all teams play only 3 matches There will be no match between D amp B and D amp E middot Again as given E lost to B but won against C amp F Therefore E is also ruled out of the one who won all matches or lost all matches Thus there would be no match of E amp A and E amp D Given B has lost at least one match Therefore B is not all winning team And B will not be the losing team too Since all B C D E and F has lost one match at least thus A is the only team left and hence became the all winning team middot F doesnrsquot play against the winning team ie A middot Thus C and F becomes all losing team And this will be the table formed

A B C D E F

A x Won Won Won x X

B Lost x x X Won Won

C Lost x x Lost Lost X

D Lost x Won X x Won

E X Lost Won X x Won

F X Lost x Lost Lost X

Now we will move on to stage 2 and move on to form a table Given leader in stage 1 lost 2 matches Since A is the leader A will be the one

who will have lost all matches in next stage Also each team has a just single

match against the other therefore A will lose against E and F

Now out of the two losing team one won next two matches and one lost all

Since F won against A Therefore F will be the winning team and C the losing

team

Also given another team lost both matches and it canrsquot be E again as it won

against A and it can neither be B as C to lose both matches require B to win

against him Therefore D lost both too

A B C D E F

A x x x X Lost Lost

B x x Won Won x X

C x Lost x X x Lost

D x Lost x X Lost X

E Won x x Won x X

F Won x Won X x X

139 B

140 D

141 D

142 C

SET 38

In this case there are two people Michael and Chetan

The price at the beginning of the first day is ₹100 and end of the fifth day is ₹110

Prices fluctuate every day either they went up by ₹10 or get down by ₹10 And the ending price of that day becomes the beginning price of next day

Using the above points there could be drawn 10 different cases and a table can be constructed like this

At the end of Day 1 Day 2 Day 3 Day 4 Day 5

Case 1 110 100 90 100 110

Case 2 110 120 110 100 110

Case 3 110 120 130 120 110

Case 4 110 100 110 100 110

Case 5 110 100 110 120 110

Case 6 110 120 110 120 110

Case 7 90 100 90 100 110

Case 8 90 80 90 100 110

Case 9 90 100 110 100 110

Case 10 90 100 110 120 110

143 C

It is being told that Chetan sold 10 shares on 3 consecutive days and Chetan only

sells shares if prices went up Thus coinciding cases in relevance to Chetan is Case

3 Case 8 Case 10 Also Michael sold 10 shares only once during all 5 days where

Chetan sold thrice And Michael sells only if the closing price is above 110 Now by

comparing all the 3 cases and adding the Michael factor to it we can easily conclude

to solitary case 10 Thus our solution Case is Case 10 Therefore the answer to the

question is 110

144 B

If Chetan has 1300 more cash than Michael at the end of the fifth day The possibility

of this happening could be

Case 1

Chetan 11010-10010-9010+10010+11010 = 1300

Michael No share was bought or sold by him

Case4

Chetan 11010-10010+11010-10010+11010 = 1300

Michael No share was bought or sold by him

Case 7

Chetan -9010+10010-9010+10010+11010 = 1300

Michael No share was bought or sold by him

Case 9

Chetan -9010+10010+11010-10010+11010 = 1300

Michael No share was bought or sold by him

Now in all these cases price of the shares at the end of the 4th day is ₹100

145 A

Let us assume both Chetan and Michael started with x no of shares Now at the end

of the 5th day Michael had 20 more shares than Chetan We will do similar

reasoning as in previous questions but now instead of the amount earned we will

calculate no of shares

Case 8 No of shares at the end of 5th day

Chetan x + 10+10-10-10-10 = x-10

Michael x +10 = x+10

Therersquos an only single possibility of Michael having 20 more shares that Chetan Thus the price at the end of day 3 is₹ 90

146 D

We need to find out the cases where Michael has ₹100 less than Chetan We will

proceed as above

Case 2 Amount earned No of shares

Chetan 11010+12010-11010-10010+11010 = 1300

x ndash 10-10+10+10-10 = x-10

Michael 12010 = 1200 x ndash 10

Case 10 Amount earned No of shares

Chetan

-9010+10010+11010+12010-11010 = 1300

x + 10-10-10-10+10 =x-10

Michael 120 10 = 1200 x ndash 10

Now as we can see in both case Michael and Chetan ended up with equal no of shares SET 39

147 B

So Ms West Bengal wore red saree

148 C

From the above solved table Ms West Bengal was sitting together with Ms A and

Ms U

149 A

Ms AP has worn yellow saree

150 C

Ms U was runner up

SET 40

If the Ghosh Babu leaves the game after he has played it twice his gain will be maximum ie Rs 12 Because 1st the dealer pays the base amount Ghosh Babu has to start with Rs 8 as minimum So that he can pay Rs 16 at the end of 1st game Net result = Gain of Rs 4 to Ghosh Babu So he must start with Rs 96

151 A

152 C

153 C

SET 41

x + 2x + 2x + 2x = 21 = 7x x = 3 y + 2y + y + 1 + y = 21 = 5y + 1 y = 4

154 A

No of Labour experts from the Americas = 1

No of health experts from the Europe = 1 No of health experts from the Australasia = 1 No of Refugee relocation from the Africa cannot be found

155 D

Clearly from the table option (d) is not possible as no of expert in Africa and America

has to be 6 ndash3 = 3

156 C

American expert in population studies the above table becomes

157 C

From the top table it is clear that the Refugee relocation experts in America can be at the most 3 So both (i) and (ii) are correct

SET 42

158 C

n (TR) = 17 n (involved in TR amp atleast 1 more) = 10 n (only TR) = 17 ndash 10 = 7 n(only ER) = 7 + 1 = 8 n(TR 1048601ER 1048601FR)=8 2 = 4

n (FR only) = n (FR volunteers involved in ER) = b + 4

n (FR 1048601 TR but not ER) = c = 6 ndash a (1)

Total volunteers = 37 17 + 8 + 4 + 2b = 37 2b = 8 or b = 4 From (1) a + c = 6 As FR has to have maximum volunteers so c can have the following possible values (1) c = 4 a = 2 (2) c = 5 a = 1 But for minimum volunteers in FR amp TR c = 4

159 A

Only 1st option is useful

20 = 4 + 4 + 8 + c or c = 4 Using the value of c and b we can get all required values

160 B

Now the 4 students common to all the three projects are asked to shift 1 moves from TR and remains in ER amp FR 1 moves from ER and remains in FRamp TR 2 moves from FR and in remains in ER amp TR So the new diagram becomes

n (TR) = 10 + a + c n (FR) = 9 + 5 + c = 14 + c n (ER) = 8 + 5 + a + 2 = 15 + a Further a + c = 6 for which either c = 5 amp a = 1 or c = 4 amp a = 2 Thus FR has maximum volunteers for any values of c amp a

161 A

a + 2 = 5 a = 3 a + c = 6 c = 3

n (TR) = 8 + 4 + 5 = 17 n (FR) = 8 + 5 + 4 = 17 n (ER) = 8 + 5 + 5 = 18

So maximum volunteers are in ER = 18

SET 43

As the total Erdos no of the group changes from 24 to 20 ie a difference of 4 and the Erdos no of E becomes f + 1 after 5th day it means the Erdos no of E was f + 1 + 4 = f + 5 after the third day After 3rd day 5 mathematician have similar Erdos no And the rest of 3 have distinct Erdos no Hence 5 people have Erdos no = f + 1 5(f + 1) + f + f + 5 + x = 24 1048601 7f + x = 14 The only values of f and x which satisfy this equation are f = 1 and x = 7 Note The condition no other co-authorship among any 3 members would have reduced the avg Erdos no to 3 means A followed by C had the largest Erdos no at the beginning of the conference

162 B The Erdos no of C at the end of conference was f + 1 = 1 + 1= 2

163 B

The Erdos no of E at the beginning of conference was f + 5 = 1 + 5 = 6 [Note that the Erdos no of E did not changed till the third day as he did not co-authored any paper]

164 B

After 3rd day 5 participants had Erdos no of f + 1 But A and C changed their Erdos

no to f + 1 on the third day itself So at the beginning of the conference only

3 participants had the same Erdos no

SET 44

165 C

166 A

167 D

168 D

SET 45

169 D

From the given information it is clear that U lt R lt P lt S lt T U lt R lt P lt Q lt T So the second tallest house may be S or Q and hence exactly are second tallest house cannot be determine

170 D

There can be two possible arrangements of houses

(i) (White) (Orange) (Red)

P U S

R Q T

(Yellow) (Green) (Blue)

(ii) (Red) (Orange) (White) S W P T Q R

(Blue) (Green) (Yellow) In both the arrangements (i) and (ii) the colour of the house diagonally opposite to the yellow coloured house is Red

171 B

T is the tallest house whose colour is blue

SET 46

172 C

Jakie is the host and seated to shobharsquos right

173 D

Shobha is a person who is seated between Dhirubhai and Jackie

174 A

Only statement (I) would be true if R S 175 A

Ratan and Monisha are sitting just opposite to each other Hence they must be married

SET 47

176 B

If Aishwarya is a girl in extreme left then the girl in the middle is Sushmita 177 D

178 D

SET 48

179 B

Ihavitoo must be used together with Grumbs only so B is not possible

180 D As per the given rules Ihavitoo must be used together with Grumbs Lovitoo or Metoo or both can be used as Dingos hence D is the correct answer

181 A Two Bingos one Cingo and two Dingos are been used in A amp other rules are being satisfied so A is the correct answer

182 D

Only D ie all the three bingos are used can be true

SET 49

183 A

184 B

185 C

186 B

SET 50

187 D

The pattern of rise-fall of the price of the share of the XYZ Ltd with respect to time

on the day is not given Hence it is not possible to compare the returns of the three

traders Abdul Bikram and Chetan

188 D

If Bikram and Chetan buy the shares at prices less than bought by Abdul their profits will be more than Abdul If not profit of Abdul will be more than that of the other two But the actual rise-fall pattern of price of a share with respect to time on one day is not known therefore answer cannot be determined

189 A Since the share price of XYZ Ltd keeps rising throughout the day and peaks at the close of the day Therefore Abdul bought all his shares at the minimum share price Bikram bought equal number of shares each time at 10 am 11 am 12 am 1 am and 2 pm But Chetan spent the same amount to buy the shares at each time 10 am 11 am 12 am 1 am and 2 pm Therefore Chetan bought less number of shares when prices are high and more shares when price are less as compared to Bikram Hence Abdulrsquos return is more than Chetan and Chetanrsquos return is more than Bikram

SET 36

The number of customers purchased cotton material = 50100 times 300 = 150 The number of customers purchased silk material = 60100 times 300 = 180 The number of customers purchased chiffon material = 40100 times 300 = 120 Given that d+ e+ f = 90 there4 d+ e = 90 ndash 30 =60 ----------- (1) Also given b = c + 20 --------- (2) To find g 20 of 150 = 20100 times 150 = 30 g=30 To find a a + d + e + g = 150 a + 60 + 30 = 150 a = 150 ndash 90 = 60 a = 60 To find remaining variable b + d + g + f = 180 b + d + 30 + 30 = 180 there4 b + d = 120 -------------- (3) c + e + g + f = 120 c + e + 30 + 30 = 120 there4 c + e = 60 --------------- (4) Substitute (1) (2) and (4) in (3)

b + d = 120 (c +20) + (60 - e) =120

(60 ndash e +20) + (60 - e) = 120 e = 10 From (4) c + e = 60 c = 60 ndash e = 60 ndash 10 c = 50 Hence b = c + 20 = 50 +20 there4 b = 70 And d = 60 ndash e = 60 ndash 10 there4 d = 50

135 B

a + b+ c = 60 + 70 + 50 = 180

136 C The customers who purchased at least two types of materials

d + e + f + g = 10 + 50 + 30 + 30 = 120

137 D

Required percentage = 70 30 times 100 = 23333

138 D

The number of customers who purchased at least one type of material is

60 + 70 + 50 + 10 + 30 + 50 + 30 = 300

The number of customers visited the shop = 300

Hence all the customers are purchased the dress material

So the answer is option D none

SET 37 There are 6 teams A B C D E and F middot There are 3 matches in stage 1 and 2 matches in stage 2 middot Each team plays against other once only middot There are no ties in the game One by one we will interpret all the points given in stage 1 and use x to denote no match between two teams and won amp loss for signifying winning and losing teams The first statement is middot One team won all 3 matches But at this moment we have no other information about which team has lost or won so we will get back to this point later middot Two teams lost all matches Though it is a useful piece of information as out of 6 teams 2 lost all but we have no further info about which team hence we will move on middot Next is D lost to A Thus we will write lost in row 5 and column 1 Also we will rule out D as the team who won all matches Also it won against C and F Since no team can play against each other Therefore we have put x there Also as all teams play only 3 matches There will be no match between D amp B and D amp E middot Again as given E lost to B but won against C amp F Therefore E is also ruled out of the one who won all matches or lost all matches Thus there would be no match of E amp A and E amp D Given B has lost at least one match Therefore B is not all winning team And B will not be the losing team too Since all B C D E and F has lost one match at least thus A is the only team left and hence became the all winning team middot F doesnrsquot play against the winning team ie A middot Thus C and F becomes all losing team And this will be the table formed

A B C D E F

A x Won Won Won x X

B Lost x x X Won Won

C Lost x x Lost Lost X

D Lost x Won X x Won

E X Lost Won X x Won

F X Lost x Lost Lost X

Now we will move on to stage 2 and move on to form a table Given leader in stage 1 lost 2 matches Since A is the leader A will be the one

who will have lost all matches in next stage Also each team has a just single

match against the other therefore A will lose against E and F

Now out of the two losing team one won next two matches and one lost all

Since F won against A Therefore F will be the winning team and C the losing

team

Also given another team lost both matches and it canrsquot be E again as it won

against A and it can neither be B as C to lose both matches require B to win

against him Therefore D lost both too

A B C D E F

A x x x X Lost Lost

B x x Won Won x X

C x Lost x X x Lost

D x Lost x X Lost X

E Won x x Won x X

F Won x Won X x X

139 B

140 D

141 D

142 C

SET 38

In this case there are two people Michael and Chetan

The price at the beginning of the first day is ₹100 and end of the fifth day is ₹110

Prices fluctuate every day either they went up by ₹10 or get down by ₹10 And the ending price of that day becomes the beginning price of next day

Using the above points there could be drawn 10 different cases and a table can be constructed like this

At the end of Day 1 Day 2 Day 3 Day 4 Day 5

Case 1 110 100 90 100 110

Case 2 110 120 110 100 110

Case 3 110 120 130 120 110

Case 4 110 100 110 100 110

Case 5 110 100 110 120 110

Case 6 110 120 110 120 110

Case 7 90 100 90 100 110

Case 8 90 80 90 100 110

Case 9 90 100 110 100 110

Case 10 90 100 110 120 110

143 C

It is being told that Chetan sold 10 shares on 3 consecutive days and Chetan only

sells shares if prices went up Thus coinciding cases in relevance to Chetan is Case

3 Case 8 Case 10 Also Michael sold 10 shares only once during all 5 days where

Chetan sold thrice And Michael sells only if the closing price is above 110 Now by

comparing all the 3 cases and adding the Michael factor to it we can easily conclude

to solitary case 10 Thus our solution Case is Case 10 Therefore the answer to the

question is 110

144 B

If Chetan has 1300 more cash than Michael at the end of the fifth day The possibility

of this happening could be

Case 1

Chetan 11010-10010-9010+10010+11010 = 1300

Michael No share was bought or sold by him

Case4

Chetan 11010-10010+11010-10010+11010 = 1300

Michael No share was bought or sold by him

Case 7

Chetan -9010+10010-9010+10010+11010 = 1300

Michael No share was bought or sold by him

Case 9

Chetan -9010+10010+11010-10010+11010 = 1300

Michael No share was bought or sold by him

Now in all these cases price of the shares at the end of the 4th day is ₹100

145 A

Let us assume both Chetan and Michael started with x no of shares Now at the end

of the 5th day Michael had 20 more shares than Chetan We will do similar

reasoning as in previous questions but now instead of the amount earned we will

calculate no of shares

Case 8 No of shares at the end of 5th day

Chetan x + 10+10-10-10-10 = x-10

Michael x +10 = x+10

Therersquos an only single possibility of Michael having 20 more shares that Chetan Thus the price at the end of day 3 is₹ 90

146 D

We need to find out the cases where Michael has ₹100 less than Chetan We will

proceed as above

Case 2 Amount earned No of shares

Chetan 11010+12010-11010-10010+11010 = 1300

x ndash 10-10+10+10-10 = x-10

Michael 12010 = 1200 x ndash 10

Case 10 Amount earned No of shares

Chetan

-9010+10010+11010+12010-11010 = 1300

x + 10-10-10-10+10 =x-10

Michael 120 10 = 1200 x ndash 10

Now as we can see in both case Michael and Chetan ended up with equal no of shares SET 39

147 B

So Ms West Bengal wore red saree

148 C

From the above solved table Ms West Bengal was sitting together with Ms A and

Ms U

149 A

Ms AP has worn yellow saree

150 C

Ms U was runner up

SET 40

If the Ghosh Babu leaves the game after he has played it twice his gain will be maximum ie Rs 12 Because 1st the dealer pays the base amount Ghosh Babu has to start with Rs 8 as minimum So that he can pay Rs 16 at the end of 1st game Net result = Gain of Rs 4 to Ghosh Babu So he must start with Rs 96

151 A

152 C

153 C

SET 41

x + 2x + 2x + 2x = 21 = 7x x = 3 y + 2y + y + 1 + y = 21 = 5y + 1 y = 4

154 A

No of Labour experts from the Americas = 1

No of health experts from the Europe = 1 No of health experts from the Australasia = 1 No of Refugee relocation from the Africa cannot be found

155 D

Clearly from the table option (d) is not possible as no of expert in Africa and America

has to be 6 ndash3 = 3

156 C

American expert in population studies the above table becomes

157 C

From the top table it is clear that the Refugee relocation experts in America can be at the most 3 So both (i) and (ii) are correct

SET 42

158 C

n (TR) = 17 n (involved in TR amp atleast 1 more) = 10 n (only TR) = 17 ndash 10 = 7 n(only ER) = 7 + 1 = 8 n(TR 1048601ER 1048601FR)=8 2 = 4

n (FR only) = n (FR volunteers involved in ER) = b + 4

n (FR 1048601 TR but not ER) = c = 6 ndash a (1)

Total volunteers = 37 17 + 8 + 4 + 2b = 37 2b = 8 or b = 4 From (1) a + c = 6 As FR has to have maximum volunteers so c can have the following possible values (1) c = 4 a = 2 (2) c = 5 a = 1 But for minimum volunteers in FR amp TR c = 4

159 A

Only 1st option is useful

20 = 4 + 4 + 8 + c or c = 4 Using the value of c and b we can get all required values

160 B

Now the 4 students common to all the three projects are asked to shift 1 moves from TR and remains in ER amp FR 1 moves from ER and remains in FRamp TR 2 moves from FR and in remains in ER amp TR So the new diagram becomes

n (TR) = 10 + a + c n (FR) = 9 + 5 + c = 14 + c n (ER) = 8 + 5 + a + 2 = 15 + a Further a + c = 6 for which either c = 5 amp a = 1 or c = 4 amp a = 2 Thus FR has maximum volunteers for any values of c amp a

161 A

a + 2 = 5 a = 3 a + c = 6 c = 3

n (TR) = 8 + 4 + 5 = 17 n (FR) = 8 + 5 + 4 = 17 n (ER) = 8 + 5 + 5 = 18

So maximum volunteers are in ER = 18

SET 43

As the total Erdos no of the group changes from 24 to 20 ie a difference of 4 and the Erdos no of E becomes f + 1 after 5th day it means the Erdos no of E was f + 1 + 4 = f + 5 after the third day After 3rd day 5 mathematician have similar Erdos no And the rest of 3 have distinct Erdos no Hence 5 people have Erdos no = f + 1 5(f + 1) + f + f + 5 + x = 24 1048601 7f + x = 14 The only values of f and x which satisfy this equation are f = 1 and x = 7 Note The condition no other co-authorship among any 3 members would have reduced the avg Erdos no to 3 means A followed by C had the largest Erdos no at the beginning of the conference

162 B The Erdos no of C at the end of conference was f + 1 = 1 + 1= 2

163 B

The Erdos no of E at the beginning of conference was f + 5 = 1 + 5 = 6 [Note that the Erdos no of E did not changed till the third day as he did not co-authored any paper]

164 B

After 3rd day 5 participants had Erdos no of f + 1 But A and C changed their Erdos

no to f + 1 on the third day itself So at the beginning of the conference only

3 participants had the same Erdos no

SET 44

165 C

166 A

167 D

168 D

SET 45

169 D

From the given information it is clear that U lt R lt P lt S lt T U lt R lt P lt Q lt T So the second tallest house may be S or Q and hence exactly are second tallest house cannot be determine

170 D

There can be two possible arrangements of houses

(i) (White) (Orange) (Red)

P U S

R Q T

(Yellow) (Green) (Blue)

(ii) (Red) (Orange) (White) S W P T Q R

(Blue) (Green) (Yellow) In both the arrangements (i) and (ii) the colour of the house diagonally opposite to the yellow coloured house is Red

171 B

T is the tallest house whose colour is blue

SET 46

172 C

Jakie is the host and seated to shobharsquos right

173 D

Shobha is a person who is seated between Dhirubhai and Jackie

174 A

Only statement (I) would be true if R S 175 A

Ratan and Monisha are sitting just opposite to each other Hence they must be married

SET 47

176 B

If Aishwarya is a girl in extreme left then the girl in the middle is Sushmita 177 D

178 D

SET 48

179 B

Ihavitoo must be used together with Grumbs only so B is not possible

180 D As per the given rules Ihavitoo must be used together with Grumbs Lovitoo or Metoo or both can be used as Dingos hence D is the correct answer

181 A Two Bingos one Cingo and two Dingos are been used in A amp other rules are being satisfied so A is the correct answer

182 D

Only D ie all the three bingos are used can be true

SET 49

183 A

184 B

185 C

186 B

SET 50

187 D

The pattern of rise-fall of the price of the share of the XYZ Ltd with respect to time

on the day is not given Hence it is not possible to compare the returns of the three

traders Abdul Bikram and Chetan

188 D

If Bikram and Chetan buy the shares at prices less than bought by Abdul their profits will be more than Abdul If not profit of Abdul will be more than that of the other two But the actual rise-fall pattern of price of a share with respect to time on one day is not known therefore answer cannot be determined

189 A Since the share price of XYZ Ltd keeps rising throughout the day and peaks at the close of the day Therefore Abdul bought all his shares at the minimum share price Bikram bought equal number of shares each time at 10 am 11 am 12 am 1 am and 2 pm But Chetan spent the same amount to buy the shares at each time 10 am 11 am 12 am 1 am and 2 pm Therefore Chetan bought less number of shares when prices are high and more shares when price are less as compared to Bikram Hence Abdulrsquos return is more than Chetan and Chetanrsquos return is more than Bikram

d + e + f + g = 10 + 50 + 30 + 30 = 120

137 D

Required percentage = 70 30 times 100 = 23333

138 D

The number of customers who purchased at least one type of material is

60 + 70 + 50 + 10 + 30 + 50 + 30 = 300

The number of customers visited the shop = 300

Hence all the customers are purchased the dress material

So the answer is option D none

SET 37 There are 6 teams A B C D E and F middot There are 3 matches in stage 1 and 2 matches in stage 2 middot Each team plays against other once only middot There are no ties in the game One by one we will interpret all the points given in stage 1 and use x to denote no match between two teams and won amp loss for signifying winning and losing teams The first statement is middot One team won all 3 matches But at this moment we have no other information about which team has lost or won so we will get back to this point later middot Two teams lost all matches Though it is a useful piece of information as out of 6 teams 2 lost all but we have no further info about which team hence we will move on middot Next is D lost to A Thus we will write lost in row 5 and column 1 Also we will rule out D as the team who won all matches Also it won against C and F Since no team can play against each other Therefore we have put x there Also as all teams play only 3 matches There will be no match between D amp B and D amp E middot Again as given E lost to B but won against C amp F Therefore E is also ruled out of the one who won all matches or lost all matches Thus there would be no match of E amp A and E amp D Given B has lost at least one match Therefore B is not all winning team And B will not be the losing team too Since all B C D E and F has lost one match at least thus A is the only team left and hence became the all winning team middot F doesnrsquot play against the winning team ie A middot Thus C and F becomes all losing team And this will be the table formed

A B C D E F

A x Won Won Won x X

B Lost x x X Won Won

C Lost x x Lost Lost X

D Lost x Won X x Won

E X Lost Won X x Won

F X Lost x Lost Lost X

Now we will move on to stage 2 and move on to form a table Given leader in stage 1 lost 2 matches Since A is the leader A will be the one

who will have lost all matches in next stage Also each team has a just single

match against the other therefore A will lose against E and F

Now out of the two losing team one won next two matches and one lost all

Since F won against A Therefore F will be the winning team and C the losing

team

Also given another team lost both matches and it canrsquot be E again as it won

against A and it can neither be B as C to lose both matches require B to win

against him Therefore D lost both too

A B C D E F

A x x x X Lost Lost

B x x Won Won x X

C x Lost x X x Lost

D x Lost x X Lost X

E Won x x Won x X

F Won x Won X x X

139 B

140 D

141 D

142 C

SET 38

In this case there are two people Michael and Chetan

The price at the beginning of the first day is ₹100 and end of the fifth day is ₹110

Prices fluctuate every day either they went up by ₹10 or get down by ₹10 And the ending price of that day becomes the beginning price of next day

Using the above points there could be drawn 10 different cases and a table can be constructed like this

At the end of Day 1 Day 2 Day 3 Day 4 Day 5

Case 1 110 100 90 100 110

Case 2 110 120 110 100 110

Case 3 110 120 130 120 110

Case 4 110 100 110 100 110

Case 5 110 100 110 120 110

Case 6 110 120 110 120 110

Case 7 90 100 90 100 110

Case 8 90 80 90 100 110

Case 9 90 100 110 100 110

Case 10 90 100 110 120 110

143 C

It is being told that Chetan sold 10 shares on 3 consecutive days and Chetan only

sells shares if prices went up Thus coinciding cases in relevance to Chetan is Case

3 Case 8 Case 10 Also Michael sold 10 shares only once during all 5 days where

Chetan sold thrice And Michael sells only if the closing price is above 110 Now by

comparing all the 3 cases and adding the Michael factor to it we can easily conclude

to solitary case 10 Thus our solution Case is Case 10 Therefore the answer to the

question is 110

144 B

If Chetan has 1300 more cash than Michael at the end of the fifth day The possibility

of this happening could be

Case 1

Chetan 11010-10010-9010+10010+11010 = 1300

Michael No share was bought or sold by him

Case4

Chetan 11010-10010+11010-10010+11010 = 1300

Michael No share was bought or sold by him

Case 7

Chetan -9010+10010-9010+10010+11010 = 1300

Michael No share was bought or sold by him

Case 9

Chetan -9010+10010+11010-10010+11010 = 1300

Michael No share was bought or sold by him

Now in all these cases price of the shares at the end of the 4th day is ₹100

145 A

Let us assume both Chetan and Michael started with x no of shares Now at the end

of the 5th day Michael had 20 more shares than Chetan We will do similar

reasoning as in previous questions but now instead of the amount earned we will

calculate no of shares

Case 8 No of shares at the end of 5th day

Chetan x + 10+10-10-10-10 = x-10

Michael x +10 = x+10

Therersquos an only single possibility of Michael having 20 more shares that Chetan Thus the price at the end of day 3 is₹ 90

146 D

We need to find out the cases where Michael has ₹100 less than Chetan We will

proceed as above

Case 2 Amount earned No of shares

Chetan 11010+12010-11010-10010+11010 = 1300

x ndash 10-10+10+10-10 = x-10

Michael 12010 = 1200 x ndash 10

Case 10 Amount earned No of shares

Chetan

-9010+10010+11010+12010-11010 = 1300

x + 10-10-10-10+10 =x-10

Michael 120 10 = 1200 x ndash 10

Now as we can see in both case Michael and Chetan ended up with equal no of shares SET 39

147 B

So Ms West Bengal wore red saree

148 C

From the above solved table Ms West Bengal was sitting together with Ms A and

Ms U

149 A

Ms AP has worn yellow saree

150 C

Ms U was runner up

SET 40

If the Ghosh Babu leaves the game after he has played it twice his gain will be maximum ie Rs 12 Because 1st the dealer pays the base amount Ghosh Babu has to start with Rs 8 as minimum So that he can pay Rs 16 at the end of 1st game Net result = Gain of Rs 4 to Ghosh Babu So he must start with Rs 96

151 A

152 C

153 C

SET 41

x + 2x + 2x + 2x = 21 = 7x x = 3 y + 2y + y + 1 + y = 21 = 5y + 1 y = 4

154 A

No of Labour experts from the Americas = 1

No of health experts from the Europe = 1 No of health experts from the Australasia = 1 No of Refugee relocation from the Africa cannot be found

155 D

Clearly from the table option (d) is not possible as no of expert in Africa and America

has to be 6 ndash3 = 3

156 C

American expert in population studies the above table becomes

157 C

From the top table it is clear that the Refugee relocation experts in America can be at the most 3 So both (i) and (ii) are correct

SET 42

158 C

n (TR) = 17 n (involved in TR amp atleast 1 more) = 10 n (only TR) = 17 ndash 10 = 7 n(only ER) = 7 + 1 = 8 n(TR 1048601ER 1048601FR)=8 2 = 4

n (FR only) = n (FR volunteers involved in ER) = b + 4

n (FR 1048601 TR but not ER) = c = 6 ndash a (1)

Total volunteers = 37 17 + 8 + 4 + 2b = 37 2b = 8 or b = 4 From (1) a + c = 6 As FR has to have maximum volunteers so c can have the following possible values (1) c = 4 a = 2 (2) c = 5 a = 1 But for minimum volunteers in FR amp TR c = 4

159 A

Only 1st option is useful

20 = 4 + 4 + 8 + c or c = 4 Using the value of c and b we can get all required values

160 B

Now the 4 students common to all the three projects are asked to shift 1 moves from TR and remains in ER amp FR 1 moves from ER and remains in FRamp TR 2 moves from FR and in remains in ER amp TR So the new diagram becomes

n (TR) = 10 + a + c n (FR) = 9 + 5 + c = 14 + c n (ER) = 8 + 5 + a + 2 = 15 + a Further a + c = 6 for which either c = 5 amp a = 1 or c = 4 amp a = 2 Thus FR has maximum volunteers for any values of c amp a

161 A

a + 2 = 5 a = 3 a + c = 6 c = 3

n (TR) = 8 + 4 + 5 = 17 n (FR) = 8 + 5 + 4 = 17 n (ER) = 8 + 5 + 5 = 18

So maximum volunteers are in ER = 18

SET 43

As the total Erdos no of the group changes from 24 to 20 ie a difference of 4 and the Erdos no of E becomes f + 1 after 5th day it means the Erdos no of E was f + 1 + 4 = f + 5 after the third day After 3rd day 5 mathematician have similar Erdos no And the rest of 3 have distinct Erdos no Hence 5 people have Erdos no = f + 1 5(f + 1) + f + f + 5 + x = 24 1048601 7f + x = 14 The only values of f and x which satisfy this equation are f = 1 and x = 7 Note The condition no other co-authorship among any 3 members would have reduced the avg Erdos no to 3 means A followed by C had the largest Erdos no at the beginning of the conference

162 B The Erdos no of C at the end of conference was f + 1 = 1 + 1= 2

163 B

The Erdos no of E at the beginning of conference was f + 5 = 1 + 5 = 6 [Note that the Erdos no of E did not changed till the third day as he did not co-authored any paper]

164 B

After 3rd day 5 participants had Erdos no of f + 1 But A and C changed their Erdos

no to f + 1 on the third day itself So at the beginning of the conference only

3 participants had the same Erdos no

SET 44

165 C

166 A

167 D

168 D

SET 45

169 D

From the given information it is clear that U lt R lt P lt S lt T U lt R lt P lt Q lt T So the second tallest house may be S or Q and hence exactly are second tallest house cannot be determine

170 D

There can be two possible arrangements of houses

(i) (White) (Orange) (Red)

P U S

R Q T

(Yellow) (Green) (Blue)

(ii) (Red) (Orange) (White) S W P T Q R

(Blue) (Green) (Yellow) In both the arrangements (i) and (ii) the colour of the house diagonally opposite to the yellow coloured house is Red

171 B

T is the tallest house whose colour is blue

SET 46

172 C

Jakie is the host and seated to shobharsquos right

173 D

Shobha is a person who is seated between Dhirubhai and Jackie

174 A

Only statement (I) would be true if R S 175 A

Ratan and Monisha are sitting just opposite to each other Hence they must be married

SET 47

176 B

If Aishwarya is a girl in extreme left then the girl in the middle is Sushmita 177 D

178 D

SET 48

179 B

Ihavitoo must be used together with Grumbs only so B is not possible

180 D As per the given rules Ihavitoo must be used together with Grumbs Lovitoo or Metoo or both can be used as Dingos hence D is the correct answer

181 A Two Bingos one Cingo and two Dingos are been used in A amp other rules are being satisfied so A is the correct answer

182 D

Only D ie all the three bingos are used can be true

SET 49

183 A

184 B

185 C

186 B

SET 50

187 D

The pattern of rise-fall of the price of the share of the XYZ Ltd with respect to time

on the day is not given Hence it is not possible to compare the returns of the three

traders Abdul Bikram and Chetan

188 D

If Bikram and Chetan buy the shares at prices less than bought by Abdul their profits will be more than Abdul If not profit of Abdul will be more than that of the other two But the actual rise-fall pattern of price of a share with respect to time on one day is not known therefore answer cannot be determined

189 A Since the share price of XYZ Ltd keeps rising throughout the day and peaks at the close of the day Therefore Abdul bought all his shares at the minimum share price Bikram bought equal number of shares each time at 10 am 11 am 12 am 1 am and 2 pm But Chetan spent the same amount to buy the shares at each time 10 am 11 am 12 am 1 am and 2 pm Therefore Chetan bought less number of shares when prices are high and more shares when price are less as compared to Bikram Hence Abdulrsquos return is more than Chetan and Chetanrsquos return is more than Bikram

A B C D E F

A x Won Won Won x X

B Lost x x X Won Won

C Lost x x Lost Lost X

D Lost x Won X x Won

E X Lost Won X x Won

F X Lost x Lost Lost X

Now we will move on to stage 2 and move on to form a table Given leader in stage 1 lost 2 matches Since A is the leader A will be the one

who will have lost all matches in next stage Also each team has a just single

match against the other therefore A will lose against E and F

Now out of the two losing team one won next two matches and one lost all

Since F won against A Therefore F will be the winning team and C the losing

team

Also given another team lost both matches and it canrsquot be E again as it won

against A and it can neither be B as C to lose both matches require B to win

against him Therefore D lost both too

A B C D E F

A x x x X Lost Lost

B x x Won Won x X

C x Lost x X x Lost

D x Lost x X Lost X

E Won x x Won x X

F Won x Won X x X

139 B

140 D

141 D

142 C

SET 38

In this case there are two people Michael and Chetan

The price at the beginning of the first day is ₹100 and end of the fifth day is ₹110

Prices fluctuate every day either they went up by ₹10 or get down by ₹10 And the ending price of that day becomes the beginning price of next day

Using the above points there could be drawn 10 different cases and a table can be constructed like this

At the end of Day 1 Day 2 Day 3 Day 4 Day 5

Case 1 110 100 90 100 110

Case 2 110 120 110 100 110

Case 3 110 120 130 120 110

Case 4 110 100 110 100 110

Case 5 110 100 110 120 110

Case 6 110 120 110 120 110

Case 7 90 100 90 100 110

Case 8 90 80 90 100 110

Case 9 90 100 110 100 110

Case 10 90 100 110 120 110

143 C

It is being told that Chetan sold 10 shares on 3 consecutive days and Chetan only

sells shares if prices went up Thus coinciding cases in relevance to Chetan is Case

3 Case 8 Case 10 Also Michael sold 10 shares only once during all 5 days where

Chetan sold thrice And Michael sells only if the closing price is above 110 Now by

comparing all the 3 cases and adding the Michael factor to it we can easily conclude

to solitary case 10 Thus our solution Case is Case 10 Therefore the answer to the

question is 110

144 B

If Chetan has 1300 more cash than Michael at the end of the fifth day The possibility

of this happening could be

Case 1

Chetan 11010-10010-9010+10010+11010 = 1300

Michael No share was bought or sold by him

Case4

Chetan 11010-10010+11010-10010+11010 = 1300

Michael No share was bought or sold by him

Case 7

Chetan -9010+10010-9010+10010+11010 = 1300

Michael No share was bought or sold by him

Case 9

Chetan -9010+10010+11010-10010+11010 = 1300

Michael No share was bought or sold by him

Now in all these cases price of the shares at the end of the 4th day is ₹100

145 A

Let us assume both Chetan and Michael started with x no of shares Now at the end

of the 5th day Michael had 20 more shares than Chetan We will do similar

reasoning as in previous questions but now instead of the amount earned we will

calculate no of shares

Case 8 No of shares at the end of 5th day

Chetan x + 10+10-10-10-10 = x-10

Michael x +10 = x+10

Therersquos an only single possibility of Michael having 20 more shares that Chetan Thus the price at the end of day 3 is₹ 90

146 D

We need to find out the cases where Michael has ₹100 less than Chetan We will

proceed as above

Case 2 Amount earned No of shares

Chetan 11010+12010-11010-10010+11010 = 1300

x ndash 10-10+10+10-10 = x-10

Michael 12010 = 1200 x ndash 10

Case 10 Amount earned No of shares

Chetan

-9010+10010+11010+12010-11010 = 1300

x + 10-10-10-10+10 =x-10

Michael 120 10 = 1200 x ndash 10

Now as we can see in both case Michael and Chetan ended up with equal no of shares SET 39

147 B

So Ms West Bengal wore red saree

148 C

From the above solved table Ms West Bengal was sitting together with Ms A and

Ms U

149 A

Ms AP has worn yellow saree

150 C

Ms U was runner up

SET 40

If the Ghosh Babu leaves the game after he has played it twice his gain will be maximum ie Rs 12 Because 1st the dealer pays the base amount Ghosh Babu has to start with Rs 8 as minimum So that he can pay Rs 16 at the end of 1st game Net result = Gain of Rs 4 to Ghosh Babu So he must start with Rs 96

151 A

152 C

153 C

SET 41

x + 2x + 2x + 2x = 21 = 7x x = 3 y + 2y + y + 1 + y = 21 = 5y + 1 y = 4

154 A

No of Labour experts from the Americas = 1

No of health experts from the Europe = 1 No of health experts from the Australasia = 1 No of Refugee relocation from the Africa cannot be found

155 D

Clearly from the table option (d) is not possible as no of expert in Africa and America

has to be 6 ndash3 = 3

156 C

American expert in population studies the above table becomes

157 C

From the top table it is clear that the Refugee relocation experts in America can be at the most 3 So both (i) and (ii) are correct

SET 42

158 C

n (TR) = 17 n (involved in TR amp atleast 1 more) = 10 n (only TR) = 17 ndash 10 = 7 n(only ER) = 7 + 1 = 8 n(TR 1048601ER 1048601FR)=8 2 = 4

n (FR only) = n (FR volunteers involved in ER) = b + 4

n (FR 1048601 TR but not ER) = c = 6 ndash a (1)

Total volunteers = 37 17 + 8 + 4 + 2b = 37 2b = 8 or b = 4 From (1) a + c = 6 As FR has to have maximum volunteers so c can have the following possible values (1) c = 4 a = 2 (2) c = 5 a = 1 But for minimum volunteers in FR amp TR c = 4

159 A

Only 1st option is useful

20 = 4 + 4 + 8 + c or c = 4 Using the value of c and b we can get all required values

160 B

Now the 4 students common to all the three projects are asked to shift 1 moves from TR and remains in ER amp FR 1 moves from ER and remains in FRamp TR 2 moves from FR and in remains in ER amp TR So the new diagram becomes

n (TR) = 10 + a + c n (FR) = 9 + 5 + c = 14 + c n (ER) = 8 + 5 + a + 2 = 15 + a Further a + c = 6 for which either c = 5 amp a = 1 or c = 4 amp a = 2 Thus FR has maximum volunteers for any values of c amp a

161 A

a + 2 = 5 a = 3 a + c = 6 c = 3

n (TR) = 8 + 4 + 5 = 17 n (FR) = 8 + 5 + 4 = 17 n (ER) = 8 + 5 + 5 = 18

So maximum volunteers are in ER = 18

SET 43

As the total Erdos no of the group changes from 24 to 20 ie a difference of 4 and the Erdos no of E becomes f + 1 after 5th day it means the Erdos no of E was f + 1 + 4 = f + 5 after the third day After 3rd day 5 mathematician have similar Erdos no And the rest of 3 have distinct Erdos no Hence 5 people have Erdos no = f + 1 5(f + 1) + f + f + 5 + x = 24 1048601 7f + x = 14 The only values of f and x which satisfy this equation are f = 1 and x = 7 Note The condition no other co-authorship among any 3 members would have reduced the avg Erdos no to 3 means A followed by C had the largest Erdos no at the beginning of the conference

162 B The Erdos no of C at the end of conference was f + 1 = 1 + 1= 2

163 B

The Erdos no of E at the beginning of conference was f + 5 = 1 + 5 = 6 [Note that the Erdos no of E did not changed till the third day as he did not co-authored any paper]

164 B

After 3rd day 5 participants had Erdos no of f + 1 But A and C changed their Erdos

no to f + 1 on the third day itself So at the beginning of the conference only

3 participants had the same Erdos no

SET 44

165 C

166 A

167 D

168 D

SET 45

169 D

From the given information it is clear that U lt R lt P lt S lt T U lt R lt P lt Q lt T So the second tallest house may be S or Q and hence exactly are second tallest house cannot be determine

170 D

There can be two possible arrangements of houses

(i) (White) (Orange) (Red)

P U S

R Q T

(Yellow) (Green) (Blue)

(ii) (Red) (Orange) (White) S W P T Q R

(Blue) (Green) (Yellow) In both the arrangements (i) and (ii) the colour of the house diagonally opposite to the yellow coloured house is Red

171 B

T is the tallest house whose colour is blue

SET 46

172 C

Jakie is the host and seated to shobharsquos right

173 D

Shobha is a person who is seated between Dhirubhai and Jackie

174 A

Only statement (I) would be true if R S 175 A

Ratan and Monisha are sitting just opposite to each other Hence they must be married

SET 47

176 B

If Aishwarya is a girl in extreme left then the girl in the middle is Sushmita 177 D

178 D

SET 48

179 B

Ihavitoo must be used together with Grumbs only so B is not possible

180 D As per the given rules Ihavitoo must be used together with Grumbs Lovitoo or Metoo or both can be used as Dingos hence D is the correct answer

181 A Two Bingos one Cingo and two Dingos are been used in A amp other rules are being satisfied so A is the correct answer

182 D

Only D ie all the three bingos are used can be true

SET 49

183 A

184 B

185 C

186 B

SET 50

187 D

The pattern of rise-fall of the price of the share of the XYZ Ltd with respect to time

on the day is not given Hence it is not possible to compare the returns of the three

traders Abdul Bikram and Chetan

188 D

If Bikram and Chetan buy the shares at prices less than bought by Abdul their profits will be more than Abdul If not profit of Abdul will be more than that of the other two But the actual rise-fall pattern of price of a share with respect to time on one day is not known therefore answer cannot be determined

189 A Since the share price of XYZ Ltd keeps rising throughout the day and peaks at the close of the day Therefore Abdul bought all his shares at the minimum share price Bikram bought equal number of shares each time at 10 am 11 am 12 am 1 am and 2 pm But Chetan spent the same amount to buy the shares at each time 10 am 11 am 12 am 1 am and 2 pm Therefore Chetan bought less number of shares when prices are high and more shares when price are less as compared to Bikram Hence Abdulrsquos return is more than Chetan and Chetanrsquos return is more than Bikram

139 B

140 D

141 D

142 C

SET 38

In this case there are two people Michael and Chetan

The price at the beginning of the first day is ₹100 and end of the fifth day is ₹110

Prices fluctuate every day either they went up by ₹10 or get down by ₹10 And the ending price of that day becomes the beginning price of next day

Using the above points there could be drawn 10 different cases and a table can be constructed like this

At the end of Day 1 Day 2 Day 3 Day 4 Day 5

Case 1 110 100 90 100 110

Case 2 110 120 110 100 110

Case 3 110 120 130 120 110

Case 4 110 100 110 100 110

Case 5 110 100 110 120 110

Case 6 110 120 110 120 110

Case 7 90 100 90 100 110

Case 8 90 80 90 100 110

Case 9 90 100 110 100 110

Case 10 90 100 110 120 110

143 C

It is being told that Chetan sold 10 shares on 3 consecutive days and Chetan only

sells shares if prices went up Thus coinciding cases in relevance to Chetan is Case

3 Case 8 Case 10 Also Michael sold 10 shares only once during all 5 days where

Chetan sold thrice And Michael sells only if the closing price is above 110 Now by

comparing all the 3 cases and adding the Michael factor to it we can easily conclude

to solitary case 10 Thus our solution Case is Case 10 Therefore the answer to the

question is 110

144 B

If Chetan has 1300 more cash than Michael at the end of the fifth day The possibility

of this happening could be

Case 1

Chetan 11010-10010-9010+10010+11010 = 1300

Michael No share was bought or sold by him

Case4

Chetan 11010-10010+11010-10010+11010 = 1300

Michael No share was bought or sold by him

Case 7

Chetan -9010+10010-9010+10010+11010 = 1300

Michael No share was bought or sold by him

Case 9

Chetan -9010+10010+11010-10010+11010 = 1300

Michael No share was bought or sold by him

Now in all these cases price of the shares at the end of the 4th day is ₹100

145 A

Let us assume both Chetan and Michael started with x no of shares Now at the end

of the 5th day Michael had 20 more shares than Chetan We will do similar

reasoning as in previous questions but now instead of the amount earned we will

calculate no of shares

Case 8 No of shares at the end of 5th day

Chetan x + 10+10-10-10-10 = x-10

Michael x +10 = x+10

Therersquos an only single possibility of Michael having 20 more shares that Chetan Thus the price at the end of day 3 is₹ 90

146 D

We need to find out the cases where Michael has ₹100 less than Chetan We will

proceed as above

Case 2 Amount earned No of shares

Chetan 11010+12010-11010-10010+11010 = 1300

x ndash 10-10+10+10-10 = x-10

Michael 12010 = 1200 x ndash 10

Case 10 Amount earned No of shares

Chetan

-9010+10010+11010+12010-11010 = 1300

x + 10-10-10-10+10 =x-10

Michael 120 10 = 1200 x ndash 10

Now as we can see in both case Michael and Chetan ended up with equal no of shares SET 39

147 B

So Ms West Bengal wore red saree

148 C

From the above solved table Ms West Bengal was sitting together with Ms A and

Ms U

149 A

Ms AP has worn yellow saree

150 C

Ms U was runner up

SET 40

If the Ghosh Babu leaves the game after he has played it twice his gain will be maximum ie Rs 12 Because 1st the dealer pays the base amount Ghosh Babu has to start with Rs 8 as minimum So that he can pay Rs 16 at the end of 1st game Net result = Gain of Rs 4 to Ghosh Babu So he must start with Rs 96

151 A

152 C

153 C

SET 41

x + 2x + 2x + 2x = 21 = 7x x = 3 y + 2y + y + 1 + y = 21 = 5y + 1 y = 4

154 A

No of Labour experts from the Americas = 1

No of health experts from the Europe = 1 No of health experts from the Australasia = 1 No of Refugee relocation from the Africa cannot be found

155 D

Clearly from the table option (d) is not possible as no of expert in Africa and America

has to be 6 ndash3 = 3

156 C

American expert in population studies the above table becomes

157 C

From the top table it is clear that the Refugee relocation experts in America can be at the most 3 So both (i) and (ii) are correct

SET 42

158 C

n (TR) = 17 n (involved in TR amp atleast 1 more) = 10 n (only TR) = 17 ndash 10 = 7 n(only ER) = 7 + 1 = 8 n(TR 1048601ER 1048601FR)=8 2 = 4

n (FR only) = n (FR volunteers involved in ER) = b + 4

n (FR 1048601 TR but not ER) = c = 6 ndash a (1)

Total volunteers = 37 17 + 8 + 4 + 2b = 37 2b = 8 or b = 4 From (1) a + c = 6 As FR has to have maximum volunteers so c can have the following possible values (1) c = 4 a = 2 (2) c = 5 a = 1 But for minimum volunteers in FR amp TR c = 4

159 A

Only 1st option is useful

20 = 4 + 4 + 8 + c or c = 4 Using the value of c and b we can get all required values

160 B

Now the 4 students common to all the three projects are asked to shift 1 moves from TR and remains in ER amp FR 1 moves from ER and remains in FRamp TR 2 moves from FR and in remains in ER amp TR So the new diagram becomes

n (TR) = 10 + a + c n (FR) = 9 + 5 + c = 14 + c n (ER) = 8 + 5 + a + 2 = 15 + a Further a + c = 6 for which either c = 5 amp a = 1 or c = 4 amp a = 2 Thus FR has maximum volunteers for any values of c amp a

161 A

a + 2 = 5 a = 3 a + c = 6 c = 3

n (TR) = 8 + 4 + 5 = 17 n (FR) = 8 + 5 + 4 = 17 n (ER) = 8 + 5 + 5 = 18

So maximum volunteers are in ER = 18

SET 43

As the total Erdos no of the group changes from 24 to 20 ie a difference of 4 and the Erdos no of E becomes f + 1 after 5th day it means the Erdos no of E was f + 1 + 4 = f + 5 after the third day After 3rd day 5 mathematician have similar Erdos no And the rest of 3 have distinct Erdos no Hence 5 people have Erdos no = f + 1 5(f + 1) + f + f + 5 + x = 24 1048601 7f + x = 14 The only values of f and x which satisfy this equation are f = 1 and x = 7 Note The condition no other co-authorship among any 3 members would have reduced the avg Erdos no to 3 means A followed by C had the largest Erdos no at the beginning of the conference

162 B The Erdos no of C at the end of conference was f + 1 = 1 + 1= 2

163 B

The Erdos no of E at the beginning of conference was f + 5 = 1 + 5 = 6 [Note that the Erdos no of E did not changed till the third day as he did not co-authored any paper]

164 B

After 3rd day 5 participants had Erdos no of f + 1 But A and C changed their Erdos

no to f + 1 on the third day itself So at the beginning of the conference only

3 participants had the same Erdos no

SET 44

165 C

166 A

167 D

168 D

SET 45

169 D

From the given information it is clear that U lt R lt P lt S lt T U lt R lt P lt Q lt T So the second tallest house may be S or Q and hence exactly are second tallest house cannot be determine

170 D

There can be two possible arrangements of houses

(i) (White) (Orange) (Red)

P U S

R Q T

(Yellow) (Green) (Blue)

(ii) (Red) (Orange) (White) S W P T Q R

(Blue) (Green) (Yellow) In both the arrangements (i) and (ii) the colour of the house diagonally opposite to the yellow coloured house is Red

171 B

T is the tallest house whose colour is blue

SET 46

172 C

Jakie is the host and seated to shobharsquos right

173 D

Shobha is a person who is seated between Dhirubhai and Jackie

174 A

Only statement (I) would be true if R S 175 A

Ratan and Monisha are sitting just opposite to each other Hence they must be married

SET 47

176 B

If Aishwarya is a girl in extreme left then the girl in the middle is Sushmita 177 D

178 D

SET 48

179 B

Ihavitoo must be used together with Grumbs only so B is not possible

180 D As per the given rules Ihavitoo must be used together with Grumbs Lovitoo or Metoo or both can be used as Dingos hence D is the correct answer

181 A Two Bingos one Cingo and two Dingos are been used in A amp other rules are being satisfied so A is the correct answer

182 D

Only D ie all the three bingos are used can be true

SET 49

183 A

184 B

185 C

186 B

SET 50

187 D

The pattern of rise-fall of the price of the share of the XYZ Ltd with respect to time

on the day is not given Hence it is not possible to compare the returns of the three

traders Abdul Bikram and Chetan

188 D

If Bikram and Chetan buy the shares at prices less than bought by Abdul their profits will be more than Abdul If not profit of Abdul will be more than that of the other two But the actual rise-fall pattern of price of a share with respect to time on one day is not known therefore answer cannot be determined

189 A Since the share price of XYZ Ltd keeps rising throughout the day and peaks at the close of the day Therefore Abdul bought all his shares at the minimum share price Bikram bought equal number of shares each time at 10 am 11 am 12 am 1 am and 2 pm But Chetan spent the same amount to buy the shares at each time 10 am 11 am 12 am 1 am and 2 pm Therefore Chetan bought less number of shares when prices are high and more shares when price are less as compared to Bikram Hence Abdulrsquos return is more than Chetan and Chetanrsquos return is more than Bikram

sells shares if prices went up Thus coinciding cases in relevance to Chetan is Case

3 Case 8 Case 10 Also Michael sold 10 shares only once during all 5 days where

Chetan sold thrice And Michael sells only if the closing price is above 110 Now by

comparing all the 3 cases and adding the Michael factor to it we can easily conclude

to solitary case 10 Thus our solution Case is Case 10 Therefore the answer to the

question is 110

144 B

If Chetan has 1300 more cash than Michael at the end of the fifth day The possibility

of this happening could be

Case 1

Chetan 11010-10010-9010+10010+11010 = 1300

Michael No share was bought or sold by him

Case4

Chetan 11010-10010+11010-10010+11010 = 1300

Michael No share was bought or sold by him

Case 7

Chetan -9010+10010-9010+10010+11010 = 1300

Michael No share was bought or sold by him

Case 9

Chetan -9010+10010+11010-10010+11010 = 1300

Michael No share was bought or sold by him

Now in all these cases price of the shares at the end of the 4th day is ₹100

145 A

Let us assume both Chetan and Michael started with x no of shares Now at the end

of the 5th day Michael had 20 more shares than Chetan We will do similar

reasoning as in previous questions but now instead of the amount earned we will

calculate no of shares

Case 8 No of shares at the end of 5th day

Chetan x + 10+10-10-10-10 = x-10

Michael x +10 = x+10

Therersquos an only single possibility of Michael having 20 more shares that Chetan Thus the price at the end of day 3 is₹ 90

146 D

We need to find out the cases where Michael has ₹100 less than Chetan We will

proceed as above

Case 2 Amount earned No of shares

Chetan 11010+12010-11010-10010+11010 = 1300

x ndash 10-10+10+10-10 = x-10

Michael 12010 = 1200 x ndash 10

Case 10 Amount earned No of shares

Chetan

-9010+10010+11010+12010-11010 = 1300

x + 10-10-10-10+10 =x-10

Michael 120 10 = 1200 x ndash 10

Now as we can see in both case Michael and Chetan ended up with equal no of shares SET 39

147 B

So Ms West Bengal wore red saree

148 C

From the above solved table Ms West Bengal was sitting together with Ms A and

Ms U

149 A

Ms AP has worn yellow saree

150 C

Ms U was runner up

SET 40

If the Ghosh Babu leaves the game after he has played it twice his gain will be maximum ie Rs 12 Because 1st the dealer pays the base amount Ghosh Babu has to start with Rs 8 as minimum So that he can pay Rs 16 at the end of 1st game Net result = Gain of Rs 4 to Ghosh Babu So he must start with Rs 96

151 A

152 C

153 C

SET 41

x + 2x + 2x + 2x = 21 = 7x x = 3 y + 2y + y + 1 + y = 21 = 5y + 1 y = 4

154 A

No of Labour experts from the Americas = 1

No of health experts from the Europe = 1 No of health experts from the Australasia = 1 No of Refugee relocation from the Africa cannot be found

155 D

Clearly from the table option (d) is not possible as no of expert in Africa and America

has to be 6 ndash3 = 3

156 C

American expert in population studies the above table becomes

157 C

From the top table it is clear that the Refugee relocation experts in America can be at the most 3 So both (i) and (ii) are correct

SET 42

158 C

n (TR) = 17 n (involved in TR amp atleast 1 more) = 10 n (only TR) = 17 ndash 10 = 7 n(only ER) = 7 + 1 = 8 n(TR 1048601ER 1048601FR)=8 2 = 4

n (FR only) = n (FR volunteers involved in ER) = b + 4

n (FR 1048601 TR but not ER) = c = 6 ndash a (1)

Total volunteers = 37 17 + 8 + 4 + 2b = 37 2b = 8 or b = 4 From (1) a + c = 6 As FR has to have maximum volunteers so c can have the following possible values (1) c = 4 a = 2 (2) c = 5 a = 1 But for minimum volunteers in FR amp TR c = 4

159 A

Only 1st option is useful

20 = 4 + 4 + 8 + c or c = 4 Using the value of c and b we can get all required values

160 B

Now the 4 students common to all the three projects are asked to shift 1 moves from TR and remains in ER amp FR 1 moves from ER and remains in FRamp TR 2 moves from FR and in remains in ER amp TR So the new diagram becomes

n (TR) = 10 + a + c n (FR) = 9 + 5 + c = 14 + c n (ER) = 8 + 5 + a + 2 = 15 + a Further a + c = 6 for which either c = 5 amp a = 1 or c = 4 amp a = 2 Thus FR has maximum volunteers for any values of c amp a

161 A

a + 2 = 5 a = 3 a + c = 6 c = 3

n (TR) = 8 + 4 + 5 = 17 n (FR) = 8 + 5 + 4 = 17 n (ER) = 8 + 5 + 5 = 18

So maximum volunteers are in ER = 18

SET 43

As the total Erdos no of the group changes from 24 to 20 ie a difference of 4 and the Erdos no of E becomes f + 1 after 5th day it means the Erdos no of E was f + 1 + 4 = f + 5 after the third day After 3rd day 5 mathematician have similar Erdos no And the rest of 3 have distinct Erdos no Hence 5 people have Erdos no = f + 1 5(f + 1) + f + f + 5 + x = 24 1048601 7f + x = 14 The only values of f and x which satisfy this equation are f = 1 and x = 7 Note The condition no other co-authorship among any 3 members would have reduced the avg Erdos no to 3 means A followed by C had the largest Erdos no at the beginning of the conference

162 B The Erdos no of C at the end of conference was f + 1 = 1 + 1= 2

163 B

The Erdos no of E at the beginning of conference was f + 5 = 1 + 5 = 6 [Note that the Erdos no of E did not changed till the third day as he did not co-authored any paper]

164 B

After 3rd day 5 participants had Erdos no of f + 1 But A and C changed their Erdos

no to f + 1 on the third day itself So at the beginning of the conference only

3 participants had the same Erdos no

SET 44

165 C

166 A

167 D

168 D

SET 45

169 D

From the given information it is clear that U lt R lt P lt S lt T U lt R lt P lt Q lt T So the second tallest house may be S or Q and hence exactly are second tallest house cannot be determine

170 D

There can be two possible arrangements of houses

(i) (White) (Orange) (Red)

P U S

R Q T

(Yellow) (Green) (Blue)

(ii) (Red) (Orange) (White) S W P T Q R

(Blue) (Green) (Yellow) In both the arrangements (i) and (ii) the colour of the house diagonally opposite to the yellow coloured house is Red

171 B

T is the tallest house whose colour is blue

SET 46

172 C

Jakie is the host and seated to shobharsquos right

173 D

Shobha is a person who is seated between Dhirubhai and Jackie

174 A

Only statement (I) would be true if R S 175 A

Ratan and Monisha are sitting just opposite to each other Hence they must be married

SET 47

176 B

If Aishwarya is a girl in extreme left then the girl in the middle is Sushmita 177 D

178 D

SET 48

179 B

Ihavitoo must be used together with Grumbs only so B is not possible

180 D As per the given rules Ihavitoo must be used together with Grumbs Lovitoo or Metoo or both can be used as Dingos hence D is the correct answer

181 A Two Bingos one Cingo and two Dingos are been used in A amp other rules are being satisfied so A is the correct answer

182 D

Only D ie all the three bingos are used can be true

SET 49

183 A

184 B

185 C

186 B

SET 50

187 D

The pattern of rise-fall of the price of the share of the XYZ Ltd with respect to time

on the day is not given Hence it is not possible to compare the returns of the three

traders Abdul Bikram and Chetan

188 D

If Bikram and Chetan buy the shares at prices less than bought by Abdul their profits will be more than Abdul If not profit of Abdul will be more than that of the other two But the actual rise-fall pattern of price of a share with respect to time on one day is not known therefore answer cannot be determined

189 A Since the share price of XYZ Ltd keeps rising throughout the day and peaks at the close of the day Therefore Abdul bought all his shares at the minimum share price Bikram bought equal number of shares each time at 10 am 11 am 12 am 1 am and 2 pm But Chetan spent the same amount to buy the shares at each time 10 am 11 am 12 am 1 am and 2 pm Therefore Chetan bought less number of shares when prices are high and more shares when price are less as compared to Bikram Hence Abdulrsquos return is more than Chetan and Chetanrsquos return is more than Bikram

reasoning as in previous questions but now instead of the amount earned we will

calculate no of shares

Case 8 No of shares at the end of 5th day

Chetan x + 10+10-10-10-10 = x-10

Michael x +10 = x+10

Therersquos an only single possibility of Michael having 20 more shares that Chetan Thus the price at the end of day 3 is₹ 90

146 D

We need to find out the cases where Michael has ₹100 less than Chetan We will

proceed as above

Case 2 Amount earned No of shares

Chetan 11010+12010-11010-10010+11010 = 1300

x ndash 10-10+10+10-10 = x-10

Michael 12010 = 1200 x ndash 10

Case 10 Amount earned No of shares

Chetan

-9010+10010+11010+12010-11010 = 1300

x + 10-10-10-10+10 =x-10

Michael 120 10 = 1200 x ndash 10

Now as we can see in both case Michael and Chetan ended up with equal no of shares SET 39

147 B

So Ms West Bengal wore red saree

148 C

From the above solved table Ms West Bengal was sitting together with Ms A and

Ms U

149 A

Ms AP has worn yellow saree

150 C

Ms U was runner up

SET 40

If the Ghosh Babu leaves the game after he has played it twice his gain will be maximum ie Rs 12 Because 1st the dealer pays the base amount Ghosh Babu has to start with Rs 8 as minimum So that he can pay Rs 16 at the end of 1st game Net result = Gain of Rs 4 to Ghosh Babu So he must start with Rs 96

151 A

152 C

153 C

SET 41

x + 2x + 2x + 2x = 21 = 7x x = 3 y + 2y + y + 1 + y = 21 = 5y + 1 y = 4

154 A

No of Labour experts from the Americas = 1

No of health experts from the Europe = 1 No of health experts from the Australasia = 1 No of Refugee relocation from the Africa cannot be found

155 D

Clearly from the table option (d) is not possible as no of expert in Africa and America

has to be 6 ndash3 = 3

156 C

American expert in population studies the above table becomes

157 C

From the top table it is clear that the Refugee relocation experts in America can be at the most 3 So both (i) and (ii) are correct

SET 42

158 C

n (TR) = 17 n (involved in TR amp atleast 1 more) = 10 n (only TR) = 17 ndash 10 = 7 n(only ER) = 7 + 1 = 8 n(TR 1048601ER 1048601FR)=8 2 = 4

n (FR only) = n (FR volunteers involved in ER) = b + 4

n (FR 1048601 TR but not ER) = c = 6 ndash a (1)

Total volunteers = 37 17 + 8 + 4 + 2b = 37 2b = 8 or b = 4 From (1) a + c = 6 As FR has to have maximum volunteers so c can have the following possible values (1) c = 4 a = 2 (2) c = 5 a = 1 But for minimum volunteers in FR amp TR c = 4

159 A

Only 1st option is useful

20 = 4 + 4 + 8 + c or c = 4 Using the value of c and b we can get all required values

160 B

Now the 4 students common to all the three projects are asked to shift 1 moves from TR and remains in ER amp FR 1 moves from ER and remains in FRamp TR 2 moves from FR and in remains in ER amp TR So the new diagram becomes

n (TR) = 10 + a + c n (FR) = 9 + 5 + c = 14 + c n (ER) = 8 + 5 + a + 2 = 15 + a Further a + c = 6 for which either c = 5 amp a = 1 or c = 4 amp a = 2 Thus FR has maximum volunteers for any values of c amp a

161 A

a + 2 = 5 a = 3 a + c = 6 c = 3

n (TR) = 8 + 4 + 5 = 17 n (FR) = 8 + 5 + 4 = 17 n (ER) = 8 + 5 + 5 = 18

So maximum volunteers are in ER = 18

SET 43

As the total Erdos no of the group changes from 24 to 20 ie a difference of 4 and the Erdos no of E becomes f + 1 after 5th day it means the Erdos no of E was f + 1 + 4 = f + 5 after the third day After 3rd day 5 mathematician have similar Erdos no And the rest of 3 have distinct Erdos no Hence 5 people have Erdos no = f + 1 5(f + 1) + f + f + 5 + x = 24 1048601 7f + x = 14 The only values of f and x which satisfy this equation are f = 1 and x = 7 Note The condition no other co-authorship among any 3 members would have reduced the avg Erdos no to 3 means A followed by C had the largest Erdos no at the beginning of the conference

162 B The Erdos no of C at the end of conference was f + 1 = 1 + 1= 2

163 B

The Erdos no of E at the beginning of conference was f + 5 = 1 + 5 = 6 [Note that the Erdos no of E did not changed till the third day as he did not co-authored any paper]

164 B

After 3rd day 5 participants had Erdos no of f + 1 But A and C changed their Erdos

no to f + 1 on the third day itself So at the beginning of the conference only

3 participants had the same Erdos no

SET 44

165 C

166 A

167 D

168 D

SET 45

169 D

From the given information it is clear that U lt R lt P lt S lt T U lt R lt P lt Q lt T So the second tallest house may be S or Q and hence exactly are second tallest house cannot be determine

170 D

There can be two possible arrangements of houses

(i) (White) (Orange) (Red)

P U S

R Q T

(Yellow) (Green) (Blue)

(ii) (Red) (Orange) (White) S W P T Q R

(Blue) (Green) (Yellow) In both the arrangements (i) and (ii) the colour of the house diagonally opposite to the yellow coloured house is Red

171 B

T is the tallest house whose colour is blue

SET 46

172 C

Jakie is the host and seated to shobharsquos right

173 D

Shobha is a person who is seated between Dhirubhai and Jackie

174 A

Only statement (I) would be true if R S 175 A

Ratan and Monisha are sitting just opposite to each other Hence they must be married

SET 47

176 B

If Aishwarya is a girl in extreme left then the girl in the middle is Sushmita 177 D

178 D

SET 48

179 B

Ihavitoo must be used together with Grumbs only so B is not possible

180 D As per the given rules Ihavitoo must be used together with Grumbs Lovitoo or Metoo or both can be used as Dingos hence D is the correct answer

181 A Two Bingos one Cingo and two Dingos are been used in A amp other rules are being satisfied so A is the correct answer

182 D

Only D ie all the three bingos are used can be true

SET 49

183 A

184 B

185 C

186 B

SET 50

187 D

The pattern of rise-fall of the price of the share of the XYZ Ltd with respect to time

on the day is not given Hence it is not possible to compare the returns of the three

traders Abdul Bikram and Chetan

188 D

If Bikram and Chetan buy the shares at prices less than bought by Abdul their profits will be more than Abdul If not profit of Abdul will be more than that of the other two But the actual rise-fall pattern of price of a share with respect to time on one day is not known therefore answer cannot be determined

189 A Since the share price of XYZ Ltd keeps rising throughout the day and peaks at the close of the day Therefore Abdul bought all his shares at the minimum share price Bikram bought equal number of shares each time at 10 am 11 am 12 am 1 am and 2 pm But Chetan spent the same amount to buy the shares at each time 10 am 11 am 12 am 1 am and 2 pm Therefore Chetan bought less number of shares when prices are high and more shares when price are less as compared to Bikram Hence Abdulrsquos return is more than Chetan and Chetanrsquos return is more than Bikram

148 C

From the above solved table Ms West Bengal was sitting together with Ms A and

Ms U

149 A

Ms AP has worn yellow saree

150 C

Ms U was runner up

SET 40

If the Ghosh Babu leaves the game after he has played it twice his gain will be maximum ie Rs 12 Because 1st the dealer pays the base amount Ghosh Babu has to start with Rs 8 as minimum So that he can pay Rs 16 at the end of 1st game Net result = Gain of Rs 4 to Ghosh Babu So he must start with Rs 96

151 A

152 C

153 C

SET 41

x + 2x + 2x + 2x = 21 = 7x x = 3 y + 2y + y + 1 + y = 21 = 5y + 1 y = 4

154 A

No of Labour experts from the Americas = 1

No of health experts from the Europe = 1 No of health experts from the Australasia = 1 No of Refugee relocation from the Africa cannot be found

155 D

Clearly from the table option (d) is not possible as no of expert in Africa and America

has to be 6 ndash3 = 3

156 C

American expert in population studies the above table becomes

157 C

From the top table it is clear that the Refugee relocation experts in America can be at the most 3 So both (i) and (ii) are correct

SET 42

158 C

n (TR) = 17 n (involved in TR amp atleast 1 more) = 10 n (only TR) = 17 ndash 10 = 7 n(only ER) = 7 + 1 = 8 n(TR 1048601ER 1048601FR)=8 2 = 4

n (FR only) = n (FR volunteers involved in ER) = b + 4

n (FR 1048601 TR but not ER) = c = 6 ndash a (1)

Total volunteers = 37 17 + 8 + 4 + 2b = 37 2b = 8 or b = 4 From (1) a + c = 6 As FR has to have maximum volunteers so c can have the following possible values (1) c = 4 a = 2 (2) c = 5 a = 1 But for minimum volunteers in FR amp TR c = 4

159 A

Only 1st option is useful

20 = 4 + 4 + 8 + c or c = 4 Using the value of c and b we can get all required values

160 B

Now the 4 students common to all the three projects are asked to shift 1 moves from TR and remains in ER amp FR 1 moves from ER and remains in FRamp TR 2 moves from FR and in remains in ER amp TR So the new diagram becomes

n (TR) = 10 + a + c n (FR) = 9 + 5 + c = 14 + c n (ER) = 8 + 5 + a + 2 = 15 + a Further a + c = 6 for which either c = 5 amp a = 1 or c = 4 amp a = 2 Thus FR has maximum volunteers for any values of c amp a

161 A

a + 2 = 5 a = 3 a + c = 6 c = 3

n (TR) = 8 + 4 + 5 = 17 n (FR) = 8 + 5 + 4 = 17 n (ER) = 8 + 5 + 5 = 18

So maximum volunteers are in ER = 18

SET 43

As the total Erdos no of the group changes from 24 to 20 ie a difference of 4 and the Erdos no of E becomes f + 1 after 5th day it means the Erdos no of E was f + 1 + 4 = f + 5 after the third day After 3rd day 5 mathematician have similar Erdos no And the rest of 3 have distinct Erdos no Hence 5 people have Erdos no = f + 1 5(f + 1) + f + f + 5 + x = 24 1048601 7f + x = 14 The only values of f and x which satisfy this equation are f = 1 and x = 7 Note The condition no other co-authorship among any 3 members would have reduced the avg Erdos no to 3 means A followed by C had the largest Erdos no at the beginning of the conference

162 B The Erdos no of C at the end of conference was f + 1 = 1 + 1= 2

163 B

The Erdos no of E at the beginning of conference was f + 5 = 1 + 5 = 6 [Note that the Erdos no of E did not changed till the third day as he did not co-authored any paper]

164 B

After 3rd day 5 participants had Erdos no of f + 1 But A and C changed their Erdos

no to f + 1 on the third day itself So at the beginning of the conference only

3 participants had the same Erdos no

SET 44

165 C

166 A

167 D

168 D

SET 45

169 D

From the given information it is clear that U lt R lt P lt S lt T U lt R lt P lt Q lt T So the second tallest house may be S or Q and hence exactly are second tallest house cannot be determine

170 D

There can be two possible arrangements of houses

(i) (White) (Orange) (Red)

P U S

R Q T

(Yellow) (Green) (Blue)

(ii) (Red) (Orange) (White) S W P T Q R

(Blue) (Green) (Yellow) In both the arrangements (i) and (ii) the colour of the house diagonally opposite to the yellow coloured house is Red

171 B

T is the tallest house whose colour is blue

SET 46

172 C

Jakie is the host and seated to shobharsquos right

173 D

Shobha is a person who is seated between Dhirubhai and Jackie

174 A

Only statement (I) would be true if R S 175 A

Ratan and Monisha are sitting just opposite to each other Hence they must be married

SET 47

176 B

If Aishwarya is a girl in extreme left then the girl in the middle is Sushmita 177 D

178 D

SET 48

179 B

Ihavitoo must be used together with Grumbs only so B is not possible

180 D As per the given rules Ihavitoo must be used together with Grumbs Lovitoo or Metoo or both can be used as Dingos hence D is the correct answer

181 A Two Bingos one Cingo and two Dingos are been used in A amp other rules are being satisfied so A is the correct answer

182 D

Only D ie all the three bingos are used can be true

SET 49

183 A

184 B

185 C

186 B

SET 50

187 D

The pattern of rise-fall of the price of the share of the XYZ Ltd with respect to time

on the day is not given Hence it is not possible to compare the returns of the three

traders Abdul Bikram and Chetan

188 D

If Bikram and Chetan buy the shares at prices less than bought by Abdul their profits will be more than Abdul If not profit of Abdul will be more than that of the other two But the actual rise-fall pattern of price of a share with respect to time on one day is not known therefore answer cannot be determined

189 A Since the share price of XYZ Ltd keeps rising throughout the day and peaks at the close of the day Therefore Abdul bought all his shares at the minimum share price Bikram bought equal number of shares each time at 10 am 11 am 12 am 1 am and 2 pm But Chetan spent the same amount to buy the shares at each time 10 am 11 am 12 am 1 am and 2 pm Therefore Chetan bought less number of shares when prices are high and more shares when price are less as compared to Bikram Hence Abdulrsquos return is more than Chetan and Chetanrsquos return is more than Bikram

155 D

Clearly from the table option (d) is not possible as no of expert in Africa and America

has to be 6 ndash3 = 3

156 C

American expert in population studies the above table becomes

157 C

From the top table it is clear that the Refugee relocation experts in America can be at the most 3 So both (i) and (ii) are correct

SET 42

158 C

n (TR) = 17 n (involved in TR amp atleast 1 more) = 10 n (only TR) = 17 ndash 10 = 7 n(only ER) = 7 + 1 = 8 n(TR 1048601ER 1048601FR)=8 2 = 4

n (FR only) = n (FR volunteers involved in ER) = b + 4

n (FR 1048601 TR but not ER) = c = 6 ndash a (1)

Total volunteers = 37 17 + 8 + 4 + 2b = 37 2b = 8 or b = 4 From (1) a + c = 6 As FR has to have maximum volunteers so c can have the following possible values (1) c = 4 a = 2 (2) c = 5 a = 1 But for minimum volunteers in FR amp TR c = 4

159 A

Only 1st option is useful

20 = 4 + 4 + 8 + c or c = 4 Using the value of c and b we can get all required values

160 B

Now the 4 students common to all the three projects are asked to shift 1 moves from TR and remains in ER amp FR 1 moves from ER and remains in FRamp TR 2 moves from FR and in remains in ER amp TR So the new diagram becomes

n (TR) = 10 + a + c n (FR) = 9 + 5 + c = 14 + c n (ER) = 8 + 5 + a + 2 = 15 + a Further a + c = 6 for which either c = 5 amp a = 1 or c = 4 amp a = 2 Thus FR has maximum volunteers for any values of c amp a

161 A

a + 2 = 5 a = 3 a + c = 6 c = 3

n (TR) = 8 + 4 + 5 = 17 n (FR) = 8 + 5 + 4 = 17 n (ER) = 8 + 5 + 5 = 18

So maximum volunteers are in ER = 18

SET 43

As the total Erdos no of the group changes from 24 to 20 ie a difference of 4 and the Erdos no of E becomes f + 1 after 5th day it means the Erdos no of E was f + 1 + 4 = f + 5 after the third day After 3rd day 5 mathematician have similar Erdos no And the rest of 3 have distinct Erdos no Hence 5 people have Erdos no = f + 1 5(f + 1) + f + f + 5 + x = 24 1048601 7f + x = 14 The only values of f and x which satisfy this equation are f = 1 and x = 7 Note The condition no other co-authorship among any 3 members would have reduced the avg Erdos no to 3 means A followed by C had the largest Erdos no at the beginning of the conference

162 B The Erdos no of C at the end of conference was f + 1 = 1 + 1= 2

163 B

The Erdos no of E at the beginning of conference was f + 5 = 1 + 5 = 6 [Note that the Erdos no of E did not changed till the third day as he did not co-authored any paper]

164 B

After 3rd day 5 participants had Erdos no of f + 1 But A and C changed their Erdos

no to f + 1 on the third day itself So at the beginning of the conference only

3 participants had the same Erdos no

SET 44

165 C

166 A

167 D

168 D

SET 45

169 D

From the given information it is clear that U lt R lt P lt S lt T U lt R lt P lt Q lt T So the second tallest house may be S or Q and hence exactly are second tallest house cannot be determine

170 D

There can be two possible arrangements of houses

(i) (White) (Orange) (Red)

P U S

R Q T

(Yellow) (Green) (Blue)

(ii) (Red) (Orange) (White) S W P T Q R

(Blue) (Green) (Yellow) In both the arrangements (i) and (ii) the colour of the house diagonally opposite to the yellow coloured house is Red

171 B

T is the tallest house whose colour is blue

SET 46

172 C

Jakie is the host and seated to shobharsquos right

173 D

Shobha is a person who is seated between Dhirubhai and Jackie

174 A

Only statement (I) would be true if R S 175 A

Ratan and Monisha are sitting just opposite to each other Hence they must be married

SET 47

176 B

If Aishwarya is a girl in extreme left then the girl in the middle is Sushmita 177 D

178 D

SET 48

179 B

Ihavitoo must be used together with Grumbs only so B is not possible

180 D As per the given rules Ihavitoo must be used together with Grumbs Lovitoo or Metoo or both can be used as Dingos hence D is the correct answer

181 A Two Bingos one Cingo and two Dingos are been used in A amp other rules are being satisfied so A is the correct answer

182 D

Only D ie all the three bingos are used can be true

SET 49

183 A

184 B

185 C

186 B

SET 50

187 D

The pattern of rise-fall of the price of the share of the XYZ Ltd with respect to time

on the day is not given Hence it is not possible to compare the returns of the three

traders Abdul Bikram and Chetan

188 D

If Bikram and Chetan buy the shares at prices less than bought by Abdul their profits will be more than Abdul If not profit of Abdul will be more than that of the other two But the actual rise-fall pattern of price of a share with respect to time on one day is not known therefore answer cannot be determined

189 A Since the share price of XYZ Ltd keeps rising throughout the day and peaks at the close of the day Therefore Abdul bought all his shares at the minimum share price Bikram bought equal number of shares each time at 10 am 11 am 12 am 1 am and 2 pm But Chetan spent the same amount to buy the shares at each time 10 am 11 am 12 am 1 am and 2 pm Therefore Chetan bought less number of shares when prices are high and more shares when price are less as compared to Bikram Hence Abdulrsquos return is more than Chetan and Chetanrsquos return is more than Bikram

20 = 4 + 4 + 8 + c or c = 4 Using the value of c and b we can get all required values

160 B

Now the 4 students common to all the three projects are asked to shift 1 moves from TR and remains in ER amp FR 1 moves from ER and remains in FRamp TR 2 moves from FR and in remains in ER amp TR So the new diagram becomes

n (TR) = 10 + a + c n (FR) = 9 + 5 + c = 14 + c n (ER) = 8 + 5 + a + 2 = 15 + a Further a + c = 6 for which either c = 5 amp a = 1 or c = 4 amp a = 2 Thus FR has maximum volunteers for any values of c amp a

161 A

a + 2 = 5 a = 3 a + c = 6 c = 3

n (TR) = 8 + 4 + 5 = 17 n (FR) = 8 + 5 + 4 = 17 n (ER) = 8 + 5 + 5 = 18

So maximum volunteers are in ER = 18

SET 43

As the total Erdos no of the group changes from 24 to 20 ie a difference of 4 and the Erdos no of E becomes f + 1 after 5th day it means the Erdos no of E was f + 1 + 4 = f + 5 after the third day After 3rd day 5 mathematician have similar Erdos no And the rest of 3 have distinct Erdos no Hence 5 people have Erdos no = f + 1 5(f + 1) + f + f + 5 + x = 24 1048601 7f + x = 14 The only values of f and x which satisfy this equation are f = 1 and x = 7 Note The condition no other co-authorship among any 3 members would have reduced the avg Erdos no to 3 means A followed by C had the largest Erdos no at the beginning of the conference

162 B The Erdos no of C at the end of conference was f + 1 = 1 + 1= 2

163 B

The Erdos no of E at the beginning of conference was f + 5 = 1 + 5 = 6 [Note that the Erdos no of E did not changed till the third day as he did not co-authored any paper]

164 B

After 3rd day 5 participants had Erdos no of f + 1 But A and C changed their Erdos

no to f + 1 on the third day itself So at the beginning of the conference only

3 participants had the same Erdos no

SET 44

165 C

166 A

167 D

168 D

SET 45

169 D

From the given information it is clear that U lt R lt P lt S lt T U lt R lt P lt Q lt T So the second tallest house may be S or Q and hence exactly are second tallest house cannot be determine

170 D

There can be two possible arrangements of houses

(i) (White) (Orange) (Red)

P U S

R Q T

(Yellow) (Green) (Blue)

(ii) (Red) (Orange) (White) S W P T Q R

(Blue) (Green) (Yellow) In both the arrangements (i) and (ii) the colour of the house diagonally opposite to the yellow coloured house is Red

171 B

T is the tallest house whose colour is blue

SET 46

172 C

Jakie is the host and seated to shobharsquos right

173 D

Shobha is a person who is seated between Dhirubhai and Jackie

174 A

Only statement (I) would be true if R S 175 A

Ratan and Monisha are sitting just opposite to each other Hence they must be married

SET 47

176 B

If Aishwarya is a girl in extreme left then the girl in the middle is Sushmita 177 D

178 D

SET 48

179 B

Ihavitoo must be used together with Grumbs only so B is not possible

180 D As per the given rules Ihavitoo must be used together with Grumbs Lovitoo or Metoo or both can be used as Dingos hence D is the correct answer

181 A Two Bingos one Cingo and two Dingos are been used in A amp other rules are being satisfied so A is the correct answer

182 D

Only D ie all the three bingos are used can be true

SET 49

183 A

184 B

185 C

186 B

SET 50

187 D

The pattern of rise-fall of the price of the share of the XYZ Ltd with respect to time

on the day is not given Hence it is not possible to compare the returns of the three

traders Abdul Bikram and Chetan

188 D

If Bikram and Chetan buy the shares at prices less than bought by Abdul their profits will be more than Abdul If not profit of Abdul will be more than that of the other two But the actual rise-fall pattern of price of a share with respect to time on one day is not known therefore answer cannot be determined

189 A Since the share price of XYZ Ltd keeps rising throughout the day and peaks at the close of the day Therefore Abdul bought all his shares at the minimum share price Bikram bought equal number of shares each time at 10 am 11 am 12 am 1 am and 2 pm But Chetan spent the same amount to buy the shares at each time 10 am 11 am 12 am 1 am and 2 pm Therefore Chetan bought less number of shares when prices are high and more shares when price are less as compared to Bikram Hence Abdulrsquos return is more than Chetan and Chetanrsquos return is more than Bikram

SET 43

As the total Erdos no of the group changes from 24 to 20 ie a difference of 4 and the Erdos no of E becomes f + 1 after 5th day it means the Erdos no of E was f + 1 + 4 = f + 5 after the third day After 3rd day 5 mathematician have similar Erdos no And the rest of 3 have distinct Erdos no Hence 5 people have Erdos no = f + 1 5(f + 1) + f + f + 5 + x = 24 1048601 7f + x = 14 The only values of f and x which satisfy this equation are f = 1 and x = 7 Note The condition no other co-authorship among any 3 members would have reduced the avg Erdos no to 3 means A followed by C had the largest Erdos no at the beginning of the conference

162 B The Erdos no of C at the end of conference was f + 1 = 1 + 1= 2

163 B

The Erdos no of E at the beginning of conference was f + 5 = 1 + 5 = 6 [Note that the Erdos no of E did not changed till the third day as he did not co-authored any paper]

164 B

After 3rd day 5 participants had Erdos no of f + 1 But A and C changed their Erdos

no to f + 1 on the third day itself So at the beginning of the conference only

3 participants had the same Erdos no

SET 44

165 C

166 A

167 D

168 D

SET 45

169 D

From the given information it is clear that U lt R lt P lt S lt T U lt R lt P lt Q lt T So the second tallest house may be S or Q and hence exactly are second tallest house cannot be determine

170 D

There can be two possible arrangements of houses

(i) (White) (Orange) (Red)

P U S

R Q T

(Yellow) (Green) (Blue)

(ii) (Red) (Orange) (White) S W P T Q R

(Blue) (Green) (Yellow) In both the arrangements (i) and (ii) the colour of the house diagonally opposite to the yellow coloured house is Red

171 B

T is the tallest house whose colour is blue

SET 46

172 C

Jakie is the host and seated to shobharsquos right

173 D

Shobha is a person who is seated between Dhirubhai and Jackie

174 A

Only statement (I) would be true if R S 175 A

Ratan and Monisha are sitting just opposite to each other Hence they must be married

SET 47

176 B

If Aishwarya is a girl in extreme left then the girl in the middle is Sushmita 177 D

178 D

SET 48

179 B

Ihavitoo must be used together with Grumbs only so B is not possible

180 D As per the given rules Ihavitoo must be used together with Grumbs Lovitoo or Metoo or both can be used as Dingos hence D is the correct answer

181 A Two Bingos one Cingo and two Dingos are been used in A amp other rules are being satisfied so A is the correct answer

182 D

Only D ie all the three bingos are used can be true

SET 49

183 A

184 B

185 C

186 B

SET 50

187 D

The pattern of rise-fall of the price of the share of the XYZ Ltd with respect to time

on the day is not given Hence it is not possible to compare the returns of the three

traders Abdul Bikram and Chetan

188 D

If Bikram and Chetan buy the shares at prices less than bought by Abdul their profits will be more than Abdul If not profit of Abdul will be more than that of the other two But the actual rise-fall pattern of price of a share with respect to time on one day is not known therefore answer cannot be determined

189 A Since the share price of XYZ Ltd keeps rising throughout the day and peaks at the close of the day Therefore Abdul bought all his shares at the minimum share price Bikram bought equal number of shares each time at 10 am 11 am 12 am 1 am and 2 pm But Chetan spent the same amount to buy the shares at each time 10 am 11 am 12 am 1 am and 2 pm Therefore Chetan bought less number of shares when prices are high and more shares when price are less as compared to Bikram Hence Abdulrsquos return is more than Chetan and Chetanrsquos return is more than Bikram

SET 44

165 C

166 A

167 D

168 D

SET 45

169 D

From the given information it is clear that U lt R lt P lt S lt T U lt R lt P lt Q lt T So the second tallest house may be S or Q and hence exactly are second tallest house cannot be determine

170 D

There can be two possible arrangements of houses

(i) (White) (Orange) (Red)

P U S

R Q T

(Yellow) (Green) (Blue)

(ii) (Red) (Orange) (White) S W P T Q R

(Blue) (Green) (Yellow) In both the arrangements (i) and (ii) the colour of the house diagonally opposite to the yellow coloured house is Red

171 B

T is the tallest house whose colour is blue

SET 46

172 C

Jakie is the host and seated to shobharsquos right

173 D

Shobha is a person who is seated between Dhirubhai and Jackie

174 A

Only statement (I) would be true if R S 175 A

Ratan and Monisha are sitting just opposite to each other Hence they must be married

SET 47

176 B

If Aishwarya is a girl in extreme left then the girl in the middle is Sushmita 177 D

178 D

SET 48

179 B

Ihavitoo must be used together with Grumbs only so B is not possible

180 D As per the given rules Ihavitoo must be used together with Grumbs Lovitoo or Metoo or both can be used as Dingos hence D is the correct answer

181 A Two Bingos one Cingo and two Dingos are been used in A amp other rules are being satisfied so A is the correct answer

182 D

Only D ie all the three bingos are used can be true

SET 49

183 A

184 B

185 C

186 B

SET 50

187 D

The pattern of rise-fall of the price of the share of the XYZ Ltd with respect to time

on the day is not given Hence it is not possible to compare the returns of the three

traders Abdul Bikram and Chetan

188 D

If Bikram and Chetan buy the shares at prices less than bought by Abdul their profits will be more than Abdul If not profit of Abdul will be more than that of the other two But the actual rise-fall pattern of price of a share with respect to time on one day is not known therefore answer cannot be determined

189 A Since the share price of XYZ Ltd keeps rising throughout the day and peaks at the close of the day Therefore Abdul bought all his shares at the minimum share price Bikram bought equal number of shares each time at 10 am 11 am 12 am 1 am and 2 pm But Chetan spent the same amount to buy the shares at each time 10 am 11 am 12 am 1 am and 2 pm Therefore Chetan bought less number of shares when prices are high and more shares when price are less as compared to Bikram Hence Abdulrsquos return is more than Chetan and Chetanrsquos return is more than Bikram

SET 45

169 D

From the given information it is clear that U lt R lt P lt S lt T U lt R lt P lt Q lt T So the second tallest house may be S or Q and hence exactly are second tallest house cannot be determine

170 D

There can be two possible arrangements of houses

(i) (White) (Orange) (Red)

P U S

R Q T

(Yellow) (Green) (Blue)

(ii) (Red) (Orange) (White) S W P T Q R

(Blue) (Green) (Yellow) In both the arrangements (i) and (ii) the colour of the house diagonally opposite to the yellow coloured house is Red

171 B

T is the tallest house whose colour is blue

SET 46

172 C

Jakie is the host and seated to shobharsquos right

173 D

Shobha is a person who is seated between Dhirubhai and Jackie

174 A

Only statement (I) would be true if R S 175 A

Ratan and Monisha are sitting just opposite to each other Hence they must be married

SET 47

176 B

If Aishwarya is a girl in extreme left then the girl in the middle is Sushmita 177 D

178 D

SET 48

179 B

Ihavitoo must be used together with Grumbs only so B is not possible

180 D As per the given rules Ihavitoo must be used together with Grumbs Lovitoo or Metoo or both can be used as Dingos hence D is the correct answer

181 A Two Bingos one Cingo and two Dingos are been used in A amp other rules are being satisfied so A is the correct answer

182 D

Only D ie all the three bingos are used can be true

SET 49

183 A

184 B

185 C

186 B

SET 50

187 D

The pattern of rise-fall of the price of the share of the XYZ Ltd with respect to time

on the day is not given Hence it is not possible to compare the returns of the three

traders Abdul Bikram and Chetan

188 D

If Bikram and Chetan buy the shares at prices less than bought by Abdul their profits will be more than Abdul If not profit of Abdul will be more than that of the other two But the actual rise-fall pattern of price of a share with respect to time on one day is not known therefore answer cannot be determined

189 A Since the share price of XYZ Ltd keeps rising throughout the day and peaks at the close of the day Therefore Abdul bought all his shares at the minimum share price Bikram bought equal number of shares each time at 10 am 11 am 12 am 1 am and 2 pm But Chetan spent the same amount to buy the shares at each time 10 am 11 am 12 am 1 am and 2 pm Therefore Chetan bought less number of shares when prices are high and more shares when price are less as compared to Bikram Hence Abdulrsquos return is more than Chetan and Chetanrsquos return is more than Bikram

174 A

Only statement (I) would be true if R S 175 A

Ratan and Monisha are sitting just opposite to each other Hence they must be married

SET 47

176 B

If Aishwarya is a girl in extreme left then the girl in the middle is Sushmita 177 D

178 D

SET 48

179 B

Ihavitoo must be used together with Grumbs only so B is not possible

180 D As per the given rules Ihavitoo must be used together with Grumbs Lovitoo or Metoo or both can be used as Dingos hence D is the correct answer

181 A Two Bingos one Cingo and two Dingos are been used in A amp other rules are being satisfied so A is the correct answer

182 D

Only D ie all the three bingos are used can be true

SET 49

183 A

184 B

185 C

186 B

SET 50

187 D

The pattern of rise-fall of the price of the share of the XYZ Ltd with respect to time

on the day is not given Hence it is not possible to compare the returns of the three

traders Abdul Bikram and Chetan

188 D

If Bikram and Chetan buy the shares at prices less than bought by Abdul their profits will be more than Abdul If not profit of Abdul will be more than that of the other two But the actual rise-fall pattern of price of a share with respect to time on one day is not known therefore answer cannot be determined

189 A Since the share price of XYZ Ltd keeps rising throughout the day and peaks at the close of the day Therefore Abdul bought all his shares at the minimum share price Bikram bought equal number of shares each time at 10 am 11 am 12 am 1 am and 2 pm But Chetan spent the same amount to buy the shares at each time 10 am 11 am 12 am 1 am and 2 pm Therefore Chetan bought less number of shares when prices are high and more shares when price are less as compared to Bikram Hence Abdulrsquos return is more than Chetan and Chetanrsquos return is more than Bikram

SET 50

187 D

The pattern of rise-fall of the price of the share of the XYZ Ltd with respect to time

on the day is not given Hence it is not possible to compare the returns of the three

traders Abdul Bikram and Chetan

188 D

If Bikram and Chetan buy the shares at prices less than bought by Abdul their profits will be more than Abdul If not profit of Abdul will be more than that of the other two But the actual rise-fall pattern of price of a share with respect to time on one day is not known therefore answer cannot be determined

189 A Since the share price of XYZ Ltd keeps rising throughout the day and peaks at the close of the day Therefore Abdul bought all his shares at the minimum share price Bikram bought equal number of shares each time at 10 am 11 am 12 am 1 am and 2 pm But Chetan spent the same amount to buy the shares at each time 10 am 11 am 12 am 1 am and 2 pm Therefore Chetan bought less number of shares when prices are high and more shares when price are less as compared to Bikram Hence Abdulrsquos return is more than Chetan and Chetanrsquos return is more than Bikram