# Sapient Aptitude Question Paper

1.Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?
a.23 m
b.29m
c27and7/9m-Ans C
d.23 and 2/9 m

2 In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:
A.5 kmph-Ans
B6 kmph
C6.25 kmph
D. 7.5 kmph

3A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:
A4 days
B6 days-Ans
C8 days
D.12 days

4In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
A120
B720-Ans
C4320
D.2160

5  A watch which gains uniformly is 2 minutes low at noon on Monday and is 4 min. 48 sec fast at 2 p.m. on the following Monday. When was it correct?
A2 p.m. on Tuesday
B2 p.m. on Wednesday-Ans
C.3 p.m. on Thursday
D1 p.m. on Friday

6.Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
A.1/2
B. 2/5
C.8/15
D.9/20-Ans

7.A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is:
A. 6 hours
B. 10 hours
C. 15 hours
D. 30 hours

8If log 27 = 1.431, then the value of log 9 is:
A. 0.934
B.0.945
C. 0.954 -Ans
D0.958
9.Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
A. 2 : 3 : 4-Ans
B. 6 : 7 : 8
C. 6 : 8 : 9
D. None of these

10A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is:
A4
B.5-ans
C6
D10

11A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?
A. Rs. 4462.50
B. Rs. 8032.50
C. Rs. 8900
D. Rs. 8925-Ans
ENone of these

12 What is the difference between the compound interests on Rs. 5000 for 1 years at 4% per annum compounded yearly and half-yearly?
ARs. 2.04 -Ans
B. Rs. 3.06
C.Rs. 4.80
D. Rs. 8.30

13 A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
A. Rs. 4991-Ans
B. Rs. 5991
C.Rs. 6001
DRs. 6991

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