**AMCAT**

Tech Mahindra Placement Paper Previous Years:

ARITHMETIC SECTION

This section consists of 29 problems. The questions are simple though time consuming.

1.

If a boat is moving in upstream with velocity of 14 km/hr and goes

downstream with a velocity of 40 km/hr, then what is the speed of the

stream ?

(a) 13 km/hr

(b) 26 km/hr

(c) 34 km/hr

(d) none of these

Ans. A

2. Find the value of ( 0.75 * 0.75 * 0.75 – 0.001 ) / ( 0.75 * 0.75 – 0.075 + 0.01)

(a) 0.845

(b) 1.908

(c) 2.312

(d) 0.001

Ans. A

3.

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) can’t say

Ans. B

4.

A car travels a certain distance taking 7 hrs in forward journey,

during the return journey increased speed 12km/hr takes the times 5

hrs.What is the distance travelled

(a) 210 kms

(b) 30 kms

(c) 20 kms

(c) none of these

Ans. B

5. Instead of multiplying a number by 7, the number is divided by 7. What is the percentage of error obtained ?

6. Find (7x + 4y ) / (x-2y) if x/2y = 3/2 ?

(a) 6

(b) 8

(c) 7

(d) data insufficient

Ans. C

7.

A man buys 12 lts of liquid which contains 20% of the liquid and the

rest is water. He then mixes it with 10 lts of another mixture with 30%

of liquid.What is the % of water in the new mixture?

8. If a man buys 1 lt of milk for Rs.12 and mixes it with 20% water and sells it for Rs.15, then what is the percentage of gain?

9.

Pipe A can fill a tank in 30 mins and Pipe B can fill it in 28 mins.If

3/4th of the tank is filled by Pipe B alone and both are opened, how

much time is required by both the pipes to fill the tank completely ?

10.

If on an item a company gives 25% discount, they earn 25% profit. If

they now give 10% discount then what is the profit percentage.

(a) 40%

(b) 55%

(c) 35%

(d) 30%

Ans. D

11.

A certain number of men can finish a piece of work in 10 days. If

however there were 10 men less it will take 10 days more for the work to

be finished. How many men were there originally?

(a) 110 men

(b) 130 men

(c) 100 men

(d) none of these

Ans. A

12. In simple interest what sum amounts of Rs.1120/- in 4 years and Rs.1200/- in 5 years ?

(a) Rs. 500

(b) Rs. 600

(c) Rs. 800

(d) Rs. 900

Ans. C

13. If a sum of money compound annually amounts of thrice itself in 3 years. In how many years

will it become 9 times itself.

(a) 6

(b) 8

(c) 10

(d) 12

Ans A

14. Two trains move in the same direction at 50 kmph and 32 kmph respectively. A man in the slower train

observes the 15 seconds elapse before the faster train completely passes by him.

What is the length of faster train ?

(a) 100m

(b) 75m

(c) 120m

(d) 50m

Ans B

15. How many mashes are there in 1 squrare meter of wire gauge if each mesh

is 8mm long and 5mm wide ?

(a) 2500

(b) 25000

(c) 250

(d) 250000

Ans B

16. x% of y is y% of ?

(a) x/y

(b) 2y

(c) x

(d) can’t be determined

Ans. C

17.

The price of sugar increases by 20%, by what % should a housewife

reduce the consumption of sugar so that expenditure on sugar

can be same as before ?

(a) 15%

(b) 16.66%

(c) 12%

(d) 9%

Ans B

18.

A man spends half of his salary on household expenses, 1/4th for rent,

1/5th for travel expenses, the man deposits the rest in a bank. If his

monthly deposits in the bank amount 50, what is his monthly salary ?

(a) Rs.500

(b) Rs.1500

(c) Rs.1000

(d) Rs. 900

Ans C

20.

The population of a city increases @ 4% p.a. There is an additional

annual increase of 4% of the population due to the influx of job

seekers, find the % increase in population after 2 years ?

21.

The ratio of the number of boys and girls in a school is 3:2 Out of

these 10% the boys and 25% of girls are scholarship holders. % of

students who are not scholarship holders.?

22.

15 men take 21 days of 8 hrs. each to do a piece of work. How many days

of 6 hrs. each would it take for 21 women if 3 women do as much work as

2 men?

(a) 30

(b) 20

(c) 19

(d) 29

Ans. A

23.

A cylinder is 6 cms in diameter and 6 cms in height. If spheres of the

same size are made from the material obtained, what is the diameter of

each sphere?

(a) 5 cms

(b) 2 cms

(c) 3 cms

(d) 4 cms

Ans C

24.

A rectangular plank (2)1/2 meters wide can be placed so that it is on

either side of the diagonal of a square shown below.(Figure is not

available)What is the area of the plank?

Ans :7*(2)1/2

25. The difference b/w the compound interest payble half yearly and the simple interest on a

certain sum lent out at 10% p.a for 1 year is Rs 25. What is the sum?

(a) Rs. 15000

(b) Rs. 12000

(c) Rs. 10000

(d) none of these

Ans C

26. What is the smallest number by which 2880 must be divided in order to make it into a

perfect square ?

(a) 3

(b) 4

(c) 5

(d) 6

Ans. C

27. A father is 30 years older than his son however he will be only thrice as old as the son after 5 years

what is father’s present age ?

(a) 40 yrs

(b) 30 yrs

(c) 50 yrs

(d) none of these

Ans. A

28.

An article sold at a profit of 20% if both the cost price and selling

price would be Rs.20/- the profit would be 10% more. What is

the cost price of that article?

29. If an item costs Rs.3 in ’99 and Rs.203 in ’00.What is the % increase in price?

(a) 200/3 %

(b) 200/6 %

(c) 100%

(d) none of these

Ans. A

LOGICAL SECTION

Directions: For questions 30-39 fill the missing number or letter in the given series

30. a, c, e, g, _

(a) h

(b) i

(c) d

(d) j

Ans. B

31. a, e, i, m, q, u, _, _

(a) y,c

(b) b,f

(c) g,i

(d) none

Ans. A

32. ay , bz , cw , dx ,__

(a) gu

(b) ev

(c) fv

(d) eu

Ans. D

33. 1, 2, 3, 5, 7, 11, __

(a) 15

(b) 9

(c) 13

(d) 12

Ans. C (series of prime numbers)

34. kp , lo , mn , __

(a) nm

(b) np

(c) op

(d) pq

Ans. A

35. R,M,__,F,D,__

(a) I, C

(b) A, Q

(c) L, N

(d) B, Q

Ans. A

36. ___, ayw, gec, mki, sqo

(a) awx

(b) usq

(c) prs

(d) lmn

Ans. B

37. 1, 3, 4, 8, 15, 27, __

(a) 60

(b) 59

(c) 43

(d) 50

Ans D

38. 0, 2, 3, 5, 8, 10, 15, 17, 24, 26,__

(a) 45

(b) 55

(c) 35

(d) 48

Ans. C

39. 2, 5, 9, 19, 37,__

(a) 64

(b) 55

(c) 75

(d) 40

Ans C

Directions for questions 40 to 45: Select the alternative that logically follows form the two given statements.

40. All scientists are fools. All fools are literates.

(a)All literates are scientists

(b) All scientists are literates

(c) No scientists are literates

(d) Both (a) and (b) are correct

Ans. B

41. No apple is an orange. All bananas are oranges.

(a) All apples are oranges

(b) Some apples are oranges

(c) No apple is a banana

(d) None of the above

Ans. A

42. All pens are elephants. Some elephants are cats.

(a) Some pens are cats

(b) No pens are cats

(c) All pens are cats

(d) None of the above

Ans. D

43. All shares are debentures.No debentures are deposits.

(a) All shares are deposits

(b) Some shares are deposits

(c) No shares are deposits

(d) None of the above

Ans. C

44. Many fathers are brothers. All brothers are priests.

(a) No father is a priest

(b) Many fathers are not priests

(c) Many fathers are priests

(d) Both (b) and (c)

Ans. B

45. Some green are blue. No blue are white.

(a) No green are white

(b) Some green are white

(c) No green are white

(d) None of the above

Ans. B

46. If the word “CODING” is represented as DPEJOH , then the word “CURFEW” can be represented?

(a) dvsgfx

(b) dvshfx

(c) dgshfx

(d) dtsgfy

Ans. A

47. If in a certain code “RANGE” is coded as 12345 and “RANDOM” is coded as 123678, then the code for the word “MANGO” would

be

(a) 82357

(b) 84563

(c) 82346

(d) 82543

Ans. D

Directions for questions 48-50:The questions are based on the following data

In a class of 150 students 55 speak English;85 speak Telugu and 30 speak neither English nor Telugu

48. How many speak both English and Telugu?

(a) 10

(b) 15

(c) 20

(d) 12

Ans. C

49.How many speak only Telugu?

(a) 55

(b) 45

(c) 65

(d) none of the above

Ans.C

50.How many speak at least one of the two languages?

(a) 120

(b) 100

(c) 250

(d) 50

Ans. A

1. Which of the following statement(s) is(are) not true

a. Literate workers have small families than illiterate workers.

b. Families with 2 or less than 2 children are commoner than families

with 3 or more children.

c. 2 children families constitute 60% of the families of workers.

d. More the no. of children a worker has the more illiterate he is.

e. None the above statement is true.

Ans : e

2. ……of a mutual instrument vibrate 6,8 & 12 intervals

respectively. If all three vibrate together what is the time

interval before all vibrate together again?

LCM of NR

Ans : 1/2 sec

3. Certain no. of men can finish a piece of work in 10 days. If

however there were 10 men less it will take 10 days more for the

work to be finished. How many men were there originally.

Ans : 110 men

4. In simple interest what sum amounts of Rs.1120/- in 4 years and Rs.1200/- in 5 years.

Ans : Rs.800/-

5. Sum of money at compound interest amounts of thrice itself in 3 years. In how many years

will it take 9 times itself.

Ans : 6

7.

Two trains in the same direction at 50 & 32 kmph respectively. A

man in the slower train observes the 15 seconds elapse before the faster

train completely passes him.

What is the length of faster train ?

Ans : 75m

8. How many mashes are there in a sq. m of wire gauge. Each mesh being 8mm long X 5mm width

Ans : 25000

9. x% of y is y% of ? Ans : x

10.

The price of sugar increases by 20%, by what % house-wife should reduce

the consumption of sugar so that expenditure on sugar can be same as

before

Ans : 16.66

11.

A man spending half of his salary for house hold expenses, 1/4th for

rent, 1/5th for travel expenses, a man deposits the rest in a bank. If

his monthly deposits in the bank amount 50. What is his monthly salary ?

Ans : 1000

12.

The population of a city increases @ 4% p.a. That is an additioanl

annual increase of 4% of the population due to this influx of job

seekers, the % increase in population after 2 years is

13.

The ratio of no. of boys & girls in a school is 3:2 Out of these ?%

the boys & 25% of girls are scholarship holders. % of students who

are not scholarship holders.?

14.

15 Men take 21 days of 8 hrs. each to do a piece of work. How many days

of 6 hrs. each would do if 21 women take. If 3 women do as much work of

2 men.

Ans : 30

15. a cylinder ingot 6cms in diameter and 6 cms in height is and spheres all of the same

size are made from the material obtained.what is the diameter of each sphere?

Ans :3cms

16.

rectangular plank of sqrt(2)meters wide can be placed so that it is on

either side of the diagonal of a square shown below.what is the area of

the plank?

Ans :7sqrt(2)

17. the difference b/w the compound interest payble half yearly and the simple interest on a

certain sum cont out at 10% p.a for 1 year is Rs 25 what is the sum

Ans:10,000

18. what is the smallest n0 by which 2880 must be divided in order to make it a perfect square ?

a)3 b)4 c)5 d) 6 e)8

Ans : c

19.a father is 30 times more than his son however he will be only thrice as old as the son

what is father’s present age ?

Ans : 40

20.

An article sold at a profit of 20% if both the c.p & s.p were to be

Rs.20/- the profit would be 10% more. What is the c.p of that article?

Ans : 1% loss