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## Genpact placement Papers

**Questions 1 – 4**

Spelunkers International offers exploring tours in eight caves: Abbott, Benny, Caesar, Dangerfield, Ewell, Fields, Guinness, and Hope

(1) Class 1 spelunkers may not attempt cave Ewell, Fields or Hope

(2) Class 2 spelunkers may not attempt Hope

(3) Class 3 spelunkers may attempt any cave

(4) Cave Caesar may be attempted only by spelunkers who have previously explored cave Benny

(5) Cave Fields may be attempted only by spelunkers who have previously explored cave Ewell

(6) Only two of caves Benny, Caesar, Ewell, Fields, and Hope may be attempted by any explorer in a single tour

**Ques 1 )** A class 2 spelunker who has previously explored cave Ewell may be restricted in choosing a tour by which rule(s)?

(I) Rule(4)

(II) Rule(5)

(III) Rule(6)

(a) I only

(b) II only

(c) I and III only

(d) II and III only

(e) I, II and III

**Ans. (c)**

**Ques 2 )** In how many different ways may a class 1 spelunker who has never explored any of the eightcaves before set up a tour of

three caves, if she wishes to explore caves Abbott and Caesar?

(a) 2

(b) 3

(c) 4

(d) 5

(e) 6

**Ans. (b)**

**Ques 3 )** What is the maximum number of caves that a class 3 spelunker who has previously explored only cave Benny may include

in a single tour?

(a) 4

(b) 5

(c) 6

(d) 7

(e) 8

**Ans. (b)**

**Ques 4 )** If x + y = 3 and y/x= 2 then y = ?

(a) 0

(b) 1/2

(c) 1

(d) 3/2

(e) 2

**Ans. (e)**

**Ques 5 )** How many squares with sides 1/2 inch long are needed to cover a rectangle that is 4 ft long and 6 ft wide

(a) 24

(b) 96

(c) 3456

(d) 13824

(e) 14266

**Ques 6 )** If a=2/3b , b=2/3c, and c=2/3d what part of d is b/

(a) 8/27

(b) 4/9

(c) 2/3

(d) 75%

(e) 4/3

**Ans. (b)**

**Ques 7 )** Successive discounts of 20% and 15% are equal to a single discount of

(a) 30%

(b) 32%

(c) 34%

(d) 35%

(e) 36

**Ans. (b)**

**Ques 8 )** The petrol tank of an automobile can hold g liters. If a liters was removed when the tank was full, what part of the full tank was

removed?

(a)g-a

(b)g/a

(c) a/g

(d) (g-a)/a

(e) (g-a)/g

**Ans. (c)**

**Ques 9 )** If x/y=4 and y is not ‘0’ what % of x is 2x-y

(a)150%

(b)175%

(c)200%

(d)250%

**Ans. (b)**

**Ques 10 )** If 2x-y=4 then 6x-3y=?

(a)15

(b)12

(c)18

(d)10

**Ans. (b)**

**Ques 11 )** If x=y=2z and xyz=256 then what is the value of x?

(a)12

(b)8

(c)16

(d)6

**Ans. (b)**

**Ques 12 )** (1/10)18 – (1/10)20 = ?

(a) 99/1020

(b) 99/10

(c) 0.9

(d) none of these

**Ans. (a)**

**Ques 13 )** Pipe A can fill in 20 minutes and Pipe B in 30 mins and Pipe C can empty the same in 40 mins. If all of them work together,

find the time taken to fill the tank

(a) 17 1/7 mins

(b) 20 mins

(c) 8 mins

(d) none of these

**Ans. (a)**

**Ques 14 )** Thirty men take 20 days to complete a job working 9 hours a day. How many hour a day should 40 men work to complete

the job?

(a) 8 hrs

(b) 7 1/2 hrs

(c) 7 hrs

(d) 9 hrs

**Ans. (b)**

**Ques 15 )** Find the smallest number in a GP whose sum is 38 and product 1728

(a) 12

(b) 20

(c) 8

(d) none of these

**Ans. (c)**

**Ques 16 )** 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) none of these

**Ans. (b)**

**Ques 17 )** A goat is tied to one corner of a square plot of side 12m by a rope 7m long.Find the area it can graze?

(a) 38.5 sq.m

(b) 155 sq.m

(c) 144 sq.m

(d) 19.25 sq.m

**Ans. (a)**

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