Aptitude_Test - 100 Questions

7/31/2019 Aptitude_Test - 100 Questions

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1 A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?

A) 120 metres B) 180 metres C) 324 metres D) 150 metres E) None of these

2 A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

A) 1\4 B) 1\10 C) 7\15 D) 8\15 E) None of these

3 A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:

A) 20 days B) 22 1/2 days C) 25 days D) 30 days E) None of these

4

A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days,

then B alone could do it in:

A) 15 days B) 20 days C) 25 days D) 30 days E) None of these

5

4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women

complete it?

A) 35 B) 40 C) 45 D) 50 E) None of these

6 A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?

A) Rs. 18.20 B) Rs. 70 C) Rs. 72 D) Rs. 88.25 E) None of these

7 When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?

A) Rs. 21,000 B) Rs. 22,500 C) Rs. 25,300 D) Rs. 25,800 E) None of these

8 A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?

A) 7 B) 8 C) 9 D) 10 E) 11

9

Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar's age at

present?

A) 16 years B) 18 years C) 20 years D) Data inadequate E) None of these

10

Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was

born. What is the difference between the ages of her parents?

A) 2 years B) 4 years C) 6 years D) 8 years E) None of these


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11 The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the

weight of the new person?

A) 76 kg B) 76.5 kg C) 85 kg D) Data inadequate E) None of these

12

The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present

age of the husband is:

A) 35 years B) 40 years C) 50 years D) None of these E) None of these

13 In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?

A) 810 B) 1440 C) 2880 D) 50400 E) 5760

14

In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy

should be there?


15

A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to

be included in the draw?


16

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they

toll together?


17 The G.C.D. of 1.08, 0.36 and 0.9 is:

A) 0.03 B) 0.9 C) 0.18 D) 0.108 E) None of these

18Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum ofthe three numbers is:


19 The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:



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20 What should come in place of both x in the equation x=162=128x.


21 If 35 + 125 = 17.88, then what will be the value of 80 + 65 ?


22 The square root of (7 + 35) (7 - 35) is :


23 The square root of 64009 is:


24

A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph

slower, he would have taken 40 minutes more. The distance (in km) is:

A) 35 B) 36.5 C) 37.5 D) 40 E) None of these

25 A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 % p.a. in 5 years. What is the sum?

A) Rs. 4462.50 B) Rs. 8032.50 C) Rs. 8900 D) Rs. 8925 E) None of these

26 A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest. What is the rate of interest?


27

A sum of Rs. 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs. 362.50 more is lent but at the rate

twice the former. At the end of the year, Rs. 33.50 is earned as interest from both the loans. What was the original rate of interest?


28 What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?A) 0.04375 B) 0.044444444 C) 0.085416667 D) Data inadequate E) None of these

29 A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 855, the total profit is:

A) Rs. 1425 B) Rs. 1500 C) Rs. 1537.50 D) Rs. 1576 E) None of these

30 At what time after 4.00 p.m. is the minutes hand of a clock exactly aligned with the hour hand?

A) 4:21:49.5 B) 0.019322917 C) 0.01515625 D) 0.01509838 E) None of these


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31

A shop keeper sold a T.V set for Rs.17,940 with a discount of 8% and earned a profit of 19.6%.What would have been the percentage of profit

earned if no discount was offered?

A) 0.248 B) 0.25 C) 0.264 D) Data inadequate E) None of these

32

A clock is set right at 8 A)m. The clock gains 10 minutes in 24 hours. What will be the true time when the clock indicates 1 p.m. on the

following day?

A) 48 min. past 12 B) 38 min. past 12 C) 28 min. past 12 D) 25 min. past 12 E) None of these

33 What is the missing number in this series? 8 2 14 6 11 ? 14 6 18 12


34 8 15 24 35 48 63 _?


35 Some green are blue. No blue are white.

A) Some green are white B) No white are green C) No green are white D) Data inadequate E) None of these

36 The sum of 5 successive odd numbers is 1075. What is the largest of these numbers?

A) 215 B 223 C) 219 D) 217 E) None of these

37 A man sells two buffaloes for Rs. 7,820 each. On one he gains 15% and on the other, he loses 15%. His total gain or loss in the transaction is:

A) 2.5% gain B) 2.25% loss C) 2% loss D) 5% loss E) None of these

38 One ship goes along the stream direction 28 km and in opposite direction 13 km in 5 hrs for each direction. What is the velocity of stream?

A) 1.5 kmph B) 2.5 kmph C) 1.8 kmph D) 2 kmph E) None of these

39 Which one of the words given below is different from others?A) Orange B) Grape C) Apricot D) Raspberry E) None of these

40 Complete the series: 5, 20, 24, 6, 2, 8, ?


41 If a = 0.1039, then the value of 4a2 - 4a + 1 + 3a is:



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42 0.0169 x ? = 1.3

A) 10 B) 100 C) 1000 D) Data inadequate E) None of these

43 If the cost of x metres of wire is d rupees, then what is the cost of y metres of wire at the same rate?

A) (xy/d) B) C) Rs. (yd) D) Rs. (yd/x) E) None of these

44 A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:

A) Rs. 650 B) Rs. 690 C) Rs. 698 D) Rs. 700 E) None of these

45 How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?

A) 3.5 years B) 4 years C) 4.5 years D) 5 years E) None of these

46

An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the

principal. If he is charging an interest of 10%, the effective rate of interest becomes:

A) 0.1 B) 0.1025 C) 0.105 D) Data Inadequate E) None of these

47

A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The

principal amount borrowed by him was:

A) Rs. 2000 B) Rs. 10,000 C) Rs. 15,000 D) Rs. 20,000 E) None of these

48

A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have

earned?

A) Rs. 35 B) Rs. 245 C) Rs. 350 D) Data Inadequate E) None of these

49 If the radius of a circle is diminished by 10%, then its area is diminished by:


50

A can have a piece of work done in 8 days, B can work three times faster than the A, C can work five times faster than A) How many days will

they take to do the work together:

A) 3 days B) 8/9 days C) 4 days D) Data Inadequate E) None of these


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51 The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:

A) 200 m B) 225 m C) 245 m D) 250 m E) None of these

52

A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days

only. Then, C alone can do the job in:

A) 9 1/5 days B) 9 2/5 days C) 9 3/5 days D) 10 E) None of these

53

A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the

work in 3 days. How much is to be paid to C?


54

A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do

the whole work?

A) 23 days B) 37 days C) 37 1/2 days D) 40 days E) None of these

55

A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining

work. In how many days A alone can finish the work?


56 A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?


57 The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?

A) 4 years B) 8 years C) 10 years D) Data Inadequate E) None of these

58

Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9

respectively. What is Anand's present age in years?A) 24 B) 27 C) 40 D) Data Inadequate E) None of these

59

The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years,

son's age will be:



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60 A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother

at present?


61

The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the

average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?

A) 23 years B) 24 years C) 25 years D) None of these E) None of these

62

A car owner buys petrol at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of

petrol if he spends Rs. 4000 each year?

A) Rs. 7.98 B) Rs. 8 C) Rs. 8.50 D) Rs. 9 E) None of these

63 Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?


64 How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?


65 In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?A) 10080 B) 4989600 C) 120960 D) Data Inadequate E) None of these

66 Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:


67 The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:


68 Find the highest common factor of 36 and 84.A) 4 B) 6 C) 12 D) 18 E) None of these

69 The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:


70 The least perfect square, which is divisible by each of 21, 36 and 66 is:



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71 7 Pink, 5 Black, 11 Yellow balls are there. Minimum no. at least to get one black and yellow ball:

A) 17 B) 13 15 D) 19 E) None of these

72 (1/10)18 (1/10)20 = ?

A) 99/1020 B) 99/10 C) 0.9 D) Data Inadequate E) None of these

73

Three friends divided some bullets equally. After all of them shot 4 bullets the total number of bullets remaining is equal to the bullets each

had after division. Find the original number divided?


74A sum of Rs. 427 is to be divided among A, B and C in such a way that 3 times As share, 4 times Bs share and 7 times Cs share are all equal.The share of C is:

A) Rs.84 B) Rs.76 C) Rs.98 D) RS.34 E) None of these

75

There are 20 poles with a constant distance between each pole. A car takes 24 second to reach the 12th pole. How much will it take to reach

the last pole.

A) 41.45 seconds B) 40.45 seconds C) 42.45 seconds D) 41.00 seconds E) None of these

76An emergency vehicle travels 10 miles at a speed of 50 miles per hour. How fast must the vehicle travel on the return trip if the round-triptravel time is to be 20 minutes?

A) 72 miles per hour B) 75 miles per hour C) 65 miles per hour D) 78 miles per hour E) None of these

77 12% of 580 + ? = 94


78 Which of the following numbers should be added to 11158 to make it exactly divisible by 77?


79 The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).

A) 8, 20, 28 B) 16, 28, 36 C) 20, 35, 45 D) Data Inadequate E) None of these

80 The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?



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81 The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P

and R is Rs. 5200. T


82 In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?


83 In how many ways can the letters of the word 'LEADER' be arranged?


84 In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?A) 266 B) 5040 C) 11760 D) 86400 E) None of these

85 The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:


86 Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:


87 The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:


88 Which of the following fraction is the largest?


89 The cube root of .000216 is:

A) 0.6 B) 0.06 C) 77 D) 87 E) None of these

90 1.5625 = ?


91

A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection

amounts to Rs. 59.29, the number of the member is the group is:



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92 How many two-digit numbers satisfy this property? The last digit (unit's digit) of the square of the two-digit number is 8 ?

A) 1 B) 2 C) 3 D) Data Inadequate E) None of these

93

A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance

travelled on foot is:

A) 14 km B) 15 km C) 16 km D) 17 km E) None of these

94

Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a.

respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?


95

Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the

loan period, what was the rate of interest?

A) 3.6 B) 6 C) 18 D) Data Inadequate E) None of these

96

A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from

both of them as interest. The rate of interest per annum is:

A) 0.05 B) 0.07 C. 7 1\3% D. 0.1 E) None of these

97

A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per

annum is:


98

A person borrows Rs. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at6 p.a for 2 years. Find his gain in

the transaction per year.

A) Rs. 112.50 B) Rs. 125 C) Rs. 150 D) Rs. 167.50 E) None of these

99

A boat travels 20 kms upstream in 6 hrs and 18 kms downstream in 4 hrs. Find the speed of the boat in still water and the speed of the water

current?

A) 1/2 kmph B) 7/12 kmph C) 5 kmph D) Data Inadequate E) None of these

100 If (2x-y)=4 then (6x-3y)=?


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Aptitude_Test - 100 Questions