Aptitude Paper 1

7/31/2019 Aptitude Paper 1

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Aptitude TestQuestions : 45

Time:50 minutes

1. Two candles of equal lengths but differentthicknesses can burn completely in 6 and 4 hoursrespectively. What will be the ratio of theirlengths at the end of 3 hours?

1. 1:2 2. 3:1 3. 2:1 4.1:3

2. Akash can row to some place and come back in 8hours. His upstream speed is 45 and thedownstream speed is 90 kmph. What is thedistance that he travels upstream?

1. 320 km 2. 270 km 3. 210 km

4. 240 km

3. The value of the series 4/1 4/3 + 4/5 4/7 + 4/9 4/11 + is

1. 3.61 2. 3.14 3. 2.71 4.2.33

4. The number of employees of Obelix Menhir Co.is a prime number and is less than 300. The ratio ofthe number of employees who are graduates andabove to the number of employees who are not, can

possibly be


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1. 101:88 2. 110:111 3. 85:98 4.97:84

5. In a 4-digit number, the sum of the first two digitsis equal to that

of the last two digits. The sum of the first and lastdigits is equal to the third

digit. Finally, the sum of the second and fourthdigits is twice the sum of the

other two digits. What is the third digit of thenumber?

1. 5 2. 8 3. 1 4. 4

6. Consider a sequence where the nth term,tn = n/(n + 2). The value of t3 t4 t5 t53 is1. 2/495 2. 2/477 3. 12/55 4.

1/1485

7. Three Englishmen and three Frenchmen work forthe same

company. Each of them knows a secret not knownto others. They need

to exchange these secrets over person-to-personphone calls so that

eventually each person knows all six secrets. Noneof the Frenchmen


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knows English, and only one Englishman knowsFrench. What is the

minimum number of phone calls needed for the

above purpose?.(1) 5 (2) 10 (3) 9 (4)

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8. Two pipes fill a tank in 8 and 12 hrs respectively,third pipe can empty the tank 6 hrs, they start at1pm, 2pm and 3pm respectively then at what timetank will be filled?1. 6 am 2. 7 am 3. 8 am

4. 9 am

9. Suppose you have a currency, named Miso, inthree denominations: 1 Miso, 10 Misos and 50

Misos. In how many ways can you pay a bill of 107Misos ?1. 17 2. 18 3. 19 4.

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10. Consider four digit numbers for which the first

two digits are equal and the last two digits are alsoequal. How many such numbers are perfect squares?

(1)3 (2)2 (3)4 (4)1


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11. December 9, 2001 is Sunday. What was the dayon December 9, 1971?

1. Thursday 2. Wednesday 3. Saturday

4. Sunday

12. Instead of walking along two adjacent sides of arectangular field, a boy took a short cut along thediagonal and saved a distance equal to half thelonger side. Then the ratio of the shorter side to thelonger side is:1. 1/2 2. 2/3 3 1/4 4.

13. How many numbers between 1 and 200 are theresuch that when they are divided by 2, 3, 4, 5 and 6,they leave remainders 1, 2, 3, 4 and 5 respectively?1. 1 2. 2 3. 3 4. 4

14. A college has raised 75% of the amount itneeds for a new building by receiving an averagedonation of Rs 600 from the people already solicited.

The people already solicited represent 60% of thetotal people the college

will ask for donations. If the college is to raise

exactly the amount neededfor the new building, what should be the average

donation from the remainingpeople to be solicited?


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1. Rs.300 2. Rs.250 3. Rs.4004. Rs.500

15. Amol was asked to calculate the arithmeticmean of ten positive integers each of which had twodigits. By mistake, he interchanged the two digits,say a and b, in one of these ten integers. As a result,his answer for the arithmetic mean was 1.8 morethan what it should have been. Then b a equals1. 1 2. 2 3. 3 4. none of

these

Directions for questions 16 21: In a surveyconducted, following facts were found.

On the basis of the above figure answer the following

16. How many gangsters are there who arepoliticians?


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1. 4 2. 5 3. 10 4. 14 5. 9

17. How film stars are gangsters but not politicians ?

1. 25 2. 19 3. 4 4. 145. 10

18. How many of them are only in politics & no otherprofession?

1. 15 2. 30 3. 21 4. 205. Cant be determined

19. Out of the surveyed people, how many film starshave more than one profession (or activity)?

1. 50% 2. 20% 3. 30% 4. 60%5. Cant be determined

20. If from this survey, we have to judge thepercentage of gangsters involve in some otherfield, how much it would be?

1. 44.72% 2. 30% 3. 43.18% 4. 40%5. 39%


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21. From the above survey, what is the probability offilm star being a gangster?

1. 7 / 40 2. 14 / 55 3. 8 / 13 4. 7/205. 1/6

Mark (1) if the question can be answered by using thestatement A alone but not by using the statement B

alone.Mark (2) if the question can be answered by usingthe statement B alone but not by using the statementA alone.Mark (3) if the question can be answered by usingeither of the statements alone.Mark (4) if the question can be answered by using

both the statements together but not by either of thestatements alone.Mark (5) if the question cannot be answered on the

basis of the two statements.

2


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2. Committee memberWwants to schedule a one-hourmeeting on Thursday for himself and three othercommittee members, X,Y, and Z, Is there a one-hour

period on Thursday that is open for all fourmembers?

(1) On Thursday Wand Xhave an open period from9:00 a.m. to 12:00 noon.

(2) On Thursday Yhas an open period from 10:00a.m. to 1:00 p.m. and Zhas an open period from

8:00 a.m. to 11:00 a.m.

23. If Jacks and Kates annual salaries in 1985 wereeach 10 percent higher than their respective annualsalaries in 1984, what was Jacks annual salary in1984?

(1) The sum of Jacks and Kates annual salaries in1984 was $50,000.

(2) The sum of Jacks and Kates annual salaries in1985 was $55,000.

24. What is the value ofx?

(1) x + 1 = 2 3x

(2) 221=

x

25. How many newspapers were sold at a certainnewsstand today?


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(1) A total of 100 newspapers were sold at thenewsstand yesterday, 10 fewer than twice thenumber sold today.

(2) The number of newspapers sold at the newsstandyesterday was 45 more than the number sold today.

Directions for questions 26 30: Read the following

passage and answer the questions that follow based

on the passage

As a South African when I am in London my great

fear is being left holding a restaurant bill, I find

myself sitting bolt upright in bed just thinking about

it. On a recent visit to England, I stayed with my

sister and her husband and one evening, they

suggested we dine out. I knew the cost of dining atthe sort of restaurant they were intent upon, when

converted into rands, cost something approximating

the national debt of the Dominican Republic.

Obviously, I would have to offer to pay. My brother-

in-law would then, hopefully counter offer. Then the

tricky part. One cannot capitulate too quickly and

appear mean. On the other hand, one must not be too

mean. When inevitably, the bill arrived, it was placed

equidistant between us. We both ignored it. I was


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hoping that my brother-in-law would snatch it. My

brother-in-law then made an unexpected move. He

left the table. I had no choice but to reach forward,and as casually as I could, unfold the bill. It was for

185 pound sterling. (In south Africa, you could dine

out for a week on that ) My shoes fell off. My sister

said, "Don't worry about the bill. The proprietor is a

business partner of ours- we eat here free". If I had

known that, I would have ordered lobster.

(James Clarke in Reader's Digest, September 2001)

26. What do you understand about the national debtof the Dominican Republic ?

A. It is a very small amount B. It is amoderate amount C. It is a very largeamount D. It is an astronomically largeamount E. None of these

27. What is the tricky part of dining out ?

A. Choosing the right dishes B. hagglingover the payment of the billC. ordering lobster D. eating withyour sister and brother -in-law E. None ofthese


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28. What was James Clarke's reaction when he readthe amount in the bill?

A. fear B. comfort C. shock D.laughter E. perplex.

29. What was James Clarke's great fear while stayingin London ?

A. Left holding a restaurant bill B. OrderinglobsterC. Eating out D.Accompanying his sister and brother-in-lawE. None of these

30. What can you infer about the value of a rand vis-a-vis pound sterling?

A. the same B. low C. cannot bedetermined D. high

Directions for Questions 31 to 35: - Given below is a

jumbled paragraph. Arrange the sentences in thecorrect order and answer the questions.

(A). Sir Walter Raleigh who brought potatoes toEngland will not be able to recognise potatoesthat are grown today.


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(B). Ploughing, tilling, sowing, reaping all these aredone mechanically.

(C). Genetics has tremendously improved the quality

of plants.(D). Today there is machinery to perform almost

every task on the farm.(E). However, outwardly the most striking change that

science has brought to farming is the introduction ofmachinery.

31. Which is the first sentence of the passage?

32. Which is the last sentence of the passage?

33. Which is the second sentence of the passage?

34. Which is the fourth sentence of the passage?

35. Which is the third sentence of the passage?

Directions for questions 36 40: In each of followingquestions five words or five letters have been given ofwhich three/four are alike in some way and one isdifferent. Choose out the ODD one.


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36.

A. Display B. Viewer C. Pageant

D. ExhibitionE. Spectacle

37.

A. Bigger B. Faster C. Greater D. Larger

E. Taller

38.

A. Ditch B. Canal C. ChannelD. Dive

E. Trench

39.A. Duckling B. Hireling C. Cub

D. CalfE. Piglet

40.

A. Treachery B. Morbid C.

Deceit D SwindleE. Fraud


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Directions for questions 41 to 45 - Nine individuals -Z, Y, X, W, V, U, T, S and R - are the only candidates,who can serve on three committees-- A, B and C, and

each candidate should serve on exactly one of thecommittees.

Committee A should consist of exactly one membermore than committee B.It is possible that there are no members of committeeC.

Among Z, Y and X none can serve on committee A.Among W, V and U none can serve on committee B.Among T, S and R none can serve on committee C.

41.In case T and Z are the only individuals serving oncommittee B, how many of the nine individuals shouldserve on committee C?

1.3 2. 4 3. 5 4. 6

42.Of the nine individuals, the largest number that canserve together on committee C is 1.9 2. 8

3. 7 4. 6

43.In case R is the only individual serving oncommittee B, which among the following should serveon committee A?

1. V and U 2.V and T 3. U and S4. T and S


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44.In case any of the nine individuals serves oncommittee C, which among the following should bethe candidate to serve on committee A?

1.Z 2. Y 3. W 4. T

45.In case T, S and X are the only individuals servingon committee B, the total membership of committee Cshould be:1.Z and Y 2. Z and W 3. Y and V 4. Y and U

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Aptitude Paper 1

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