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DO NOT OPEN THIS TEST BOOKLET UNTIL YOU ARE ASKED TO DO SO Time Allowed: 2:00 Hours Maximum Marks: 150 INSTRUCTIONS 1. IMMEDIATELY AFTER THE COMMENCEMENT OF THE EXAMINATION, YOU SHOULD CHECK THAT THIS TEST BOOKLET DOES NOT HAVE ANY UNPRINTED OR TORN OR MISSING PAGES OR ITEMS, ETC. IF SO, GET IT REPLACED BY A COMPLETE TEST BOOKLET. 2. ENCODE CLEARLY THE TEST PAPER CODE NUMBER IN THE APPROPRIATE PLACE IN THE RESPONSE SHEET. 3. You have to enter your Roll Number on the Test Booklet in the box provided alongside. DO NOT write anything else on the test booklet. 4. This Test Booklet contains 75 items (questions). Each item comprises four responses (answers). You will select one response, which you want to mark on the Response Sheet. In case you feel that there is more than one correct response, mark the response, which you consider the best. In any case, choose ONLY ONE response for each item. More than one response will be treated as wrong answer. 5. In case you find any discrepancy in this test booklet in any question (s) or the Responses; a written representation explaining the details of such alleged discrepancy, be submitted within three days, indicating the Question No(s) and the Test Booklet Series, in which the discrepancy is alleged. Representation not received within time shall not be entertained at all. 6. You have to mark all your responses ONLY on the separate Response Sheet provided. 7. All items carry equal marks. 8. For each question for which a wrong answer has been given by the candidate, one third (0.33) of the marks assigned to that question will be deducted as penalty. There will be no penalty for a question which is left blank. 9. Before you proceed to mark in the Response Sheet, the response to various items in the Test Booklet, you have to fill in some particulars in the Response Sheet. 10. While writing Name and Roll No. on the top of the Response Sheet in appropriate boxes use “ONLY BALL POINT PEN”. Use pencil to fill all the remaining ovals in OMR Sheet. 11. After you have completed filling in all your responses on the Response Sheet and the examination has concluded, you should hand over to the Invigilator only the Response Sheet. You are permitted to take away with you the Test Booklet. IAS 2013 CSAT TEST SERIES © Chronicle IAS Academy LOGICAL REASONING CHRONICLE IAS ACADEMY A CIVIL SERVICES CHRONICLE INITIATIVE Paper Code:32 21 Jan. 2013

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Page 1: Logical Reasoning (32)

DO NOT OPEN THIS TEST BOOKLET UNTIL YOU ARE ASKED TO DO SO

Time Allowed: 2:00 Hours Maximum Marks: 150

INSTRUCTIONS

1. IMMEDIATELY AFTER THE COMMENCEMENT OF THE EXAMINATION, YOUSHOULD CHECK THAT THIS TEST BOOKLET DOES NOT HAVE ANYUNPRINTED OR TORN OR MISSING PAGES OR ITEMS, ETC. IF SO, GET ITREPLACED BY A COMPLETE TEST BOOKLET.

2. ENCODE CLEARLY THE TEST PAPER CODE NUMBER IN THE APPROPRIATEPLACE IN THE RESPONSE SHEET.

3. You have to enter your Roll Number on theTest Booklet in the box provided alongside.DO NOT write anything else on the testbooklet.

4. This Test Booklet contains 75 items (questions). Each item comprises four responses(answers). You will select one response, which you want to mark on the Response Sheet.In case you feel that there is more than one correct response, mark the response, whichyou consider the best. In any case, choose ONLY ONE response for each item. Morethan one response will be treated as wrong answer.

5. In case you find any discrepancy in this test booklet in any question (s) or the Responses;a written representation explaining the details of such alleged discrepancy, be submittedwithin three days, indicating the Question No(s) and the Test Booklet Series, in whichthe discrepancy is alleged. Representation not received within time shall not beentertained at all.

6. You have to mark all your responses ONLY on the separate Response Sheet provided.7. All items carry equal marks.8. For each question for which a wrong answer has been given by the candidate, one third

(0.33) of the marks assigned to that question will be deducted as penalty. There will beno penalty for a question which is left blank.

9. Before you proceed to mark in the Response Sheet, the response to various items in theTest Booklet, you have to fill in some particulars in the Response Sheet.

10. While writing Name and Roll No. on the top of the Response Sheet in appropriate boxesuse “ONLY BALL POINT PEN”. Use pencil to fill all the remaining ovals in OMRSheet.

11. After you have completed filling in all your responses on the Response Sheet and theexamination has concluded, you should hand over to the Invigilator only the ResponseSheet. You are permitted to take away with you the Test Booklet.

IAS 2013 CSAT TEST SERIES

© Chronicle IAS Academy

LOGICAL REASONING

CHRONICLEIAS ACADEMYA CIVIL SERVICES CHRONICLE INITIATIVE

Paper Code:3221 Jan. 2013

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Direction for question number 1 to 3: The followinggraph shows the readership of 4 leading newspapersin India over a year.

1. Which newspaper shows a constant increase inreadership?

(a) A (b) B(c) C (d) D

2. Which of the statements is correct?

A. Newspaper D was the highest sellingnewspaper in the beginning of year.

B. Newspaper C showed a constant increase inreadership.

C. Newspaper C was never the top sellingnewspaper during the period.

D. Newspaper A showed an exponential increasein the readership.

(a) A and B (b) B, C and D(c) A and C (d) A and D

3. The readership of which newspaper(s) can besaid to have reached its saturation level?

(a) A and B (b) C and D(c) Only C (d) None of these

4. Consider the following Speed - Time graph. Itshows three trains moving simultaneously inparallel tracks.

With reference to the above graph, which one ofthe following statements is correct?

(a) Train C moves with a constant velocity.(b) Train A is at rest and in not moving.

(c) Train C is at constant acceleration.(d) Train A and B and C cover the same distance

in time t0.

5. Given below is a family tree. The names encircledare females and those connected with horizontallines are spouse and those connected withinclined/vertical lines are children.

How is G related to C?

(a) Niece (b) Nephew(c) Cousin (d) None of these

6. A starts from his home and goes towards B asshown in figure.

What is the displacement between A and B?

(a) 12 kms (b) 7 kms

(c) (4 2 + 3) kms (d) 10 kms

7. Given figure below shows the number of peoplepreferring to travel via Train, Bus and Aero planein a survey.

How many people among them prefer to travelby Train and Bus?

(a) 3 (b) 5(c) 8 (d) 12

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8. The speed time curve of three cars A, B and Con a highway is shown below:

Which car can be said to have achieved anexponential growth in speed?

(a) Only A (b) Only B(c) Only C (d) A and C both

9. Examine the following statements.

A. All parrots are green.B. Some birds are green.C. No living creature except birds can be green.D. All parrots are living creatures.

Which of the following conclusions can be drawnfrom the information given above?

(a) Some birds are not green.(b) Some birds are not parrots.(c) All Parrots are birds.(d) Only Parrots can be green.

Directions for quesiton number 10 and 11:A, B and Cran a race around a circular track of length 24 kms. A, Band C start from the points shown in the figure. Theystart simultaneously with speeds 6 km/hr, 12 km/hrand 8 km/hr respectively. The race ends at point A andeach one of them has to complete at least one round ofthe track.

10. Who wins the race?

(a) A (b) B(c) C (d) Both A and C

11. What is the difference in time of finishingbetween the winner and the runner-up?

(a) 20 min (b) 40 min(c) 60 min (d) 80 min

Directions for question number 12 to 14: Given belowis a family tree. The names encircled are females andthose connected with horizontal lines are spouse andthose connected with inclined/vertical lines arechildren.

12. How many grand-daughters does A have?

(a) 2 (b) 3(c) 4 (d) 5

13. How many unmarried persons are there in thefamily?

(a) 4 (b) 5(c) 6 (d) 7

14. Which of the following statements are correct?

(a) O is the only aunt of H.(b) C and F are cousins.(c) F, S and T are cousins.(d) M has three aunts.

15. Given below are the temperature pyramids offour regions A, B, C and D for a year. Thethickness of the pyramid depends on thetemperature at a particular time of the year.

Which region among them can be classified as acoastal area in Northern Hemisphere?

(a) A (b) B(c) C (d) D

16. The chart given below is a road map from cityA to city B. The roads go through theintermediate cities 1, 2, 3, etc. The direction ofedge of each road indicates the direction of

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movement on a particular road. All roads areone-way.

How many routes are there to go from city A tocity B.

(a) 3 (b) 5(c) 6 (d) 7

17. Consider the following figure and answer theitem that follows:

What is the total number of triangles in the abovegrid?

(a) 23 (b) 24(c) 25 (d) 27

Directions for question number 18 and 19: Two busesA and B each of length 10 m is travelling in oppositedirection on a road. A tunnel of length 50 m is betweenthe buses as shown in figure. The speed of the bus atpoint A is 36 km/hr and that of bus at point B is 54 km/hr. Their positions and distance from the tunnel at aninstant is shown in the figure.

18. Which bus will cross the tunnel first?

(a) A(b) B(c) Both cross together(d) Cannot be determined

19. What will be the total time taken by both thebuses to cross the tunnel completely from theircurrent positions?

(a) 6 sec (b) 7 sec(c) 8 sec (d) 14 sec

Directions for question number 20 to 22: Three cars A,B and C were racing against each other in a professionalrace track. The last few minutes of the race are tabulatedin the chart given below. The chart is a time - distancegraph and shows the distance travelled by the respectivecars in the real time. Study the graph and answer thequestions that follow:

20. Which car travelled the fastest in the last fewminutes of the race?

(a) A (b) B(c) C(d) Cannot be determined

21. Who travelled with second highest speed amongthe three in the race?

(a) A (b) B(c) C(d) Cannot be determined

22. Who travelled with the least average speedoverall for the whole race?

(a) A (b) B(c) C(d) Cannot be determined

Directions for question number 23 to 24: A tank has twopipes A and B. One of the pipes is an inlet pipe whereasthe other is an outlet pipe. In the empty tank both the

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pipes are opened simultaneously. The amount of waterflown through the pipes as the time progresses is shownin the figure below. Assume tank filled after some time.

23. Which pipe is the outlet pipe?

(a) A (b) B(c) Can be any of the two(d) Cannot be determined

24. Which statement among them is correct?

(a) The average speed of water flowing throughpipe B is more than that of A.

(b) At time t0, the tank is full.(c) VA - VB denotes the amount of water in the

tank at time t0.(d) None of these

25. Given below are four tea pots A, B, C and Deach having same length, width and height. Theonly difference between them is the height andthe length of the spout.

Which of the given statements is correct?

(a) All the teapots have the same capacity.(b) Teapot B and D have the maximum capacity.(c) Teapot A and C have the same capacity.(d) Teapot D has the maximum capacity.

26. What is the minimum number of coloursrequired to paint the figure such that no twoadjacent regions (regions sharing a commonedge) have the same colour?

(a) 2 (b) 3(c) 4 (d) 5

Directions for question number 27 to 29: Three cars X,Y and Z race against each other in a highway. Theirtime - distance graph is shown in the chart givenbelow. Study the given chart and answer the questionsgiven below.

27. Which car won the race?

(a) X (b) Y(c) Z(d) All the cars ended in dead heat.

28. Which car has the lowest average speed?

(a) X (b) Y(c) Z(d) All the cars have the same average speed

29. Which car was leading the race for the first 15minutes of the race?

(a) X (b) Y(c) Z(d) All the cars were at the same place

Directions for question number 30 to 32: In a surveyheld among 500 students of a college about their favorite

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outdoor sport among Cricket, Basketball and Football,students voted for their sport. The details aresummarized in a venn diagram shown below. Therewere 10 students who didn't like any of the sport.Answer the questions given below.

30. How many students played at least two games?

(a) 30 (b) 40(c) 50 (d) 60

31. If 10 students like both cricket and football butnot basketball, then how many students likebasketball?

(a) 140 (b) 170(c) 180 (d) 190

32. How many students does not like more than onegame?

(a) 10 (b) 50(c) 440 (d) 450

Directions for five questions that follow: Theacceleration time graph for three cars A, B and C aregiven below. Study the graph and answer the questionsthat follow.

33. What can be said about car A?

(a) It is moving with constant speed.(b) It is moving with constant acceleration.(c) It is not at all moving.(d) None of these

34. What can be said about car B?

(a) It is moving with constant speed.(b) It is moving with constant acceleration.(c) It is moving with constant velocity.(d) None of these

35. What can be said about car C?

(a) It is moving with constant speed.(b) Speed of the car was decreasing through out

the period given.(c) Speed of the car was increasing through out

the period given.(d) None of these

36. Which car obtains an exponential growth inspeed?

(a) A (b) B(c) C (d) None of these

37. Which of the following is correct about themeeting point of all the three lines of the graph?

(a) At the meeting point, the velocity of all thecars is same.

(b) At the meeting point, the distance coveredby all the cars is same.

(c) At the meeting point, the rate of change ofvelocity of all the cars is same.

(d) None of these can be inferred about themeeting point.

38. Consider the following figures:

2 5 11 15 31 ?

6 10 14 19 35 51

What is the missing number?

(a) 72 (b) 71(c) 62 (d) 63

39. Consider the following statements:

A. All musicians are singers.B. Some singers are actors.C. Actors are prone to become alcoholics.

From the above three statements it may beconcluded that

(a) Musicians are alcoholic.(b) Some actors are alcoholic.(c) Some actors may be musicians.(d) Singers are generally actors.

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40. Examine the following statements:

A. Either Amit and Balu are of the same weightor Amit is heavier than Balu.

B. Either Chaman and Daman are of the sameweight or Daman is heavier than Chaman.

C. Balu is heavier than Chaman.

Which one of the following conclusions can bedrawn from the above statements?

(a) Amit is heavier than Balu(b) Amit is heavier than Chaman(c) Balu and Daman are of the same weight(d) Daman is heavier than Chaman

41. Examine the following statements:

A. Only those who are smart can become ascientist.

B. Some of the scientists are genius.C. Those scientists who are genius can opt for

rocket-science.

Which one of the following conclusion can bedrawn from the above statements?

(a) All those who are smart are scientists.(b) All the scientists are smart.(c) All those who opt for rocket-science are

scientists.(d) Anyone who opts for rocket-science is

genius.

42. Rizwan, a 10 year old boy, took cycling andkarate lessons this summer. He is lookingforward to sports camps for the next summerbreak so that he can learn to play football andcricket.

Based on the above information, fourconclusions, as given below, have been made.

Which one of these logically follows from theinformation given above?

(a) Rizwan likes attending camps.(b) Rizwan's parents want him to be active

during summer breaks.(c) Rizwan attends some lessons every summer

break.(d) Rizwan likes football and cricket.

43. Three persons Sharma, Verma and Mishrabought folders and pens among three white, blueand green colours each (not necessarily in thatorder). No person bought folders and pens ofthe same colour. Further, it is given that.

A. Sharma did not buy folder of white colour.B. Verma did not buy folder of blue colour.

C. Mishra did not buy folder of green colour.D. Verma bought pen of white colour.

What were the colours of the folder and penbought by Mishra, respectively?

(a) Blue and green (c) White and blue(b) Green and blue (d) White and green

44. In a colony, 15 people subscribed for magazines- 7 Travel, 5 Science and 3 Fitness magazines.Till the end of the year only 10 of the magazinescontinued, six of which were travel.

Based on the above information, fourconclusions, as given below, have been made.

Which one of these logically follows from theinformation given above?

(a) Only 1 fitness magazine continued(b) Atleast 1 science magazine was discontinued(c) People of the colony liked Travel magazines(d) Only 1 Science magazine continued

45. Read the passage given below and the twostatements that follow(given on the basis of thepassage):

Four men are seated in a compartment of a traingoing from Delhi to Mumbai. Two of them areengineers and the other two are architects. Twoof them are from Mumbai and two from Delhi.Two of them are Hindu and the other two areSikhs. No two men of the same profession are ofsame city or of same religion. Also, no two ofthe same religion are from the same city. Also,the Hindu - Engineer is from Delhi.

A. The Mumbai based architect is Sikh.B. The Sikh-engineer is not from Delhi.

Which of the above statements is/are correctconclusions?

(a) A only (b) B only(c) Both A and B (d) Neither A nor B

46. Amit is taller than Rohan but not as tall as Deven.Then,

(a) Amit is taller than Deven(b) Deven is not as tall as Rohan(c) Deven is taller than Rohan(d) Rohan is not as tall as Amit

47. Given that,

A. A is the mother of B.B. C is the father of D

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C. B is the sister of C.D. E is the husband of A.

Who is the aunt of D?

(a) A (b) B(c) C (d) E

48. Examine the following statements:

A. Heera has more diamonds than Panna.B. Panna has less diamonds than Sona.C. Chandi has more diamonds than Panna but

less than HeeraD. Moti has more diamonds than Heera but less

than Sona.

Who has the maximum diamonds?

(a) Heera (b) Sona(c) Chandi (d) Moti

49. Examine the following statements:

A. I watch movies only if it's a holiday next day.B. It's not a holiday if the office is open.C. Whenever I watch the movies I take my friend

along with me.

Which one of the following conclusions is validin the context of the above statements?

(a) If it's a holiday next day, I watch movies.(b) If it's not a holiday today, the office is not

open.(c) I like watching movie on the holidays.(d) If the office is open today, then I did not

watch the movie yesterday.

50. Only six helicopters A, B, C, D, E and F areavailable with the island Hakau to connect itfrom the rest of the world. Only one among thehelicopters A, C and E is operational at a time.During snowfalls the helicopters C, D and F arenot used. During storms, the helicopters B and Fare shut down. During seismic activities only Aor D is used. In this context, which one of thefollowing statements is correct?

(a) Under normal circumstances only threehelicopters are used.

(b) During snowfalls only two helicopters areused.

(c) During seismic activities only one helicopteris used.

(d) During natural calamities, the use ofhelicopters is reduced.

51. Examine the following statements:

A. None but scientists are participants of theexhibition.

B. Some participants of the exhibition are genius.C. All geniuses are eligible for voting.

Which one of the following conclusions can bedrawn from the above statements?

(a) All scientists are eligible for voting.(b) All genius scientists are eligible for voting.(c) All scientists are the participants of the

exhibition.(d) None of the above conclusions can be drawn.

52. In a intra-school competition, a student is to beselected to represent the School. The principal,the vice-principal, the manager and the vice-manager get to select the student. The formulaagreed by them was the acceptance of a candidateby most of them and in case of a tie, the candidateagreed by the principal is considered selected.Four students P, Q, R and S approached for theselection.

A. P was agreed by the principal and the manager.B. Q was agreed by the vice-principal and the

manager.C. R was rejected by the principal and the vice-

manager.D. S was agreed by principal but rejected by

manager.

After more consultation, the vice-manageraccepted R and Q was accepted by vice-managerand P was accepted by vice-principal and S wasrejected by principal. Who finally got selected?

(a) P (b) Q(c) R (d) S

53. Consider the following statements:

A. All 14 inch laptops in this hostel are blue.B. Some of them have optical disks.C. All 14 inch laptops manufactured after 2011

have optical disks.D. All laptops are not 14 inch.

Which of the following conclusions can be drawnfrom the above statements?

(a) Only 14 inch laptops are there in this hostel.(b) Some blue 14 inch laptops are there in this

hostel.(c) Laptops other than 14 inch cannot have

optical disks.(d) All 14 inch laptops having optical disks are

blue.

Directions for the following 5 (five) items:

Examine the information given in the followingparagraph and answer the items that follow:

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Six friends A, B, C, D, E and F living in city Delhi,Mumbai, Chennai, Kolkata, Bengaluru and Pune (notin order), decided to organize a reunion in Delhi. Twoamong them are engineers, two doctors, one of theman architect and a dentist. The dentist lives in Mumbai.Mr. B took a train from Chennai and the architect joinedhim at the Kolkata station. Mr. A organized the reunionat his residence. The two doctors from Pune andBengaluru came from the same train. C is not in medicalprofession. F is not a doctor.

54. Who among them was a dentist?

(a) D (b) E(c) F (d) C

55. Who lives in Kolkata?

(a) C (b) B(c) D (d) E

56. What is the profession of D?

(a) Engineer (b) Doctor(c) Dentist(d) Cannot be determined

57. From which city did the Engineer catch his train?

(a) Mumbai (b) Pune(c) Kolkata (d) Chennai

58. What is the profession of the organizer of thereunion?

(a) Engineer (b) Doctor(c) Dentist (d) Architect

59. Consider the following statements:

A. All cars consume power.B. Fuel provides power.C. Electricity also provides power.D. Electrically operated machines do not make

noise.

Which one of the following inferences can bedrawn from the above statements?

(a) All cars consume fuel.(b) Some cars consume electricity.(c) If electrically operated cars are used, it will

not make noise.(d) Power can be generated through Fuel and

Electricity only.

Direction for five items that follow:

A building has 6 floors (1 to 6, floor 1 being the groundfloor) having a flat in each floor. In each flat a familylives. Each family has different number of familymembers from 1 to 6 and no family lives on the floor

number having the same number of family members.Sharma family lives in 5th floor. Mr. Verma lives alonebelow Gupta family but above Singhal family. Mr.Sengupta has the biggest family in the building andhence lives in the lowermost floor. Mr. Kapoor has afamily of 4 persons and is not living on the top floor.The family with 3 members lives on the second floor.

Based on the above given information, answer thefollowing questions.

60. Which family lives on the 6th floor?

(a) Singhal (b) Verma(c) Sharma (d) Gupta

61. Which family has only 2 members?

(a) Singhal (b) Verma(c) Sharma (d) Gupta

62. On which floor did the family with 5 memberslives?

(a) 3rd (b) 4th(c) 5th (d) 6th

63. Who lives to the immediate top of Gupta family?

(a) Verma (b) Singhal(c) Kappor (d) No one

64. A total of how many people lives above the floorsof Kapoor family?

(a) 7 (b) 8(c) 9 (d) 10

65. Examine the following statements:

A. None but wealthy can afford Cars.B. Some those who own cars get in accidents.C. Most of them who get in accidents go hospital.

Which one of the following conclusions can bedrawn from the above statements?

(a) All wealthy get in accidents.(b) Only wealthy go hospital.(c) All those having cars are wealthy.(d) Only wealthy get in accidents.

66. In a lane, having five bungalows in a row fromleft to right facing north, live five celebritieshaving different professions. The Actor has agood understanding with the Scientist and hasto go left every time he visits his bungalow. ThePolitician is of friendly nature and has friendshipwith everyone and has to go left as frequentlyas right. The Industrialist owns a cornerbungalow and visits his only neighbor, TheEditor on the right.

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From the left to right, in what order do the fivecelebrities live?

(a) Industrialist, Editor, Politician, Scientist,Actor

(b) Scientist, Actor, Politician, Industrialist,Editor

(c) Industrialist, Scientist, Politician, Editor,Actor

(d) Industrialist, Editor, Scientist, Politician,Actor

Read the following passage and answer the 3(three)items that follow:

P, Q, R, S and T are the members of the same family.Among them, there are two fathers, one mother, twowives, three sons, and a grandfather. The grandfatheris the retired General and his son R is a police inspector.The husband of T is a constable and Q is the only singleperson in the family. S is the youngest male of thefamily.

67. How is S related to Q?

(a) Son (b) Father(c) Brother (d) Grandson

68. Who are the females in the group?

(a) P and R (b) R and T(c) S and T (d) P and T

69. Whose wife is the police inspector?

(a) P (b) Q(c) S (d) T

Read the following passage and answer the 3 (three)items that follow:

In the lok sabha, a new law was to be decided to pass.Due to disagreements, a poll was conducted amongthe 500 members. 30% of the seats are reserved forwomen, and 70% of the women voted FOR the lawand 26% voted AGAINST the law, the remainingwomen restrained from voting. 220 male membersvoted AGAINST the law and 25 men restrainedthemselves from voting.

70. How many votes were polled?

(a) 500 (b) 475(c) 469 (d) 459

71. What percentage of the total votes polled wereFOR the law?

(a) 42% (b) 47.5%(c) 46.4% (d) 44.7%

72. How many male members voted FOR the law?

(a) 220 (b) 105(c) 115 (d) 130

73. In a train, the 5th bogie after the engine is asleeper S1 and the 9th engine from the rear isChair car C1. There are a total of 3 bogiesbetween the bogies S1 and C1. Then a minimumof how many bogies are there in the trainincluding the engine?

(a) 18 (b) 17(c) 11 (d) 10

74. The following item consists of four statements.Of these four statements, two can both be true,but both cannot be false. Study the statementscarefully and identify the two that satisfy theabove condition. Select the correct answer usingthe codes given below the set of statements:

Examine the following statements:

A. All houses have windows.B. Some houses have windows.C. Some houses don't have windows.D. No house has windows.

Codes:

(a) A and D (b) B and C(c) A and C (d) B and D

75. There are four routes to travel from city P to cityQ, six routes to travel from city Q to city R andseven routes to travel from city R to city S. Also,there are five routes to travel from city P to cityR. In how many different ways can a persontravel from city P to city S?

(a) 840 (b) 22(c) 203 (d) 173

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