# Sapient Mathematical Aptitude Model Test Paper (Includes Questions from Previous Years)

## Sapient Mathematical Aptitude Model Test Paper (Includes Questions from Previous Years)

1. Akshay takes 2 hours longer than Sunny to complete a length of 30 km. In case Akshay doubles up his speed he would cover than distance in 1 hour less than Sunny’s time. Determine

Akshay’s speed.

A. 6 kmph

B. 5 kmph

C. 6.5 kmph

D. 7.5 kmph

2. How many possible ways can you arrange the letter “OPTICAL” so that the vowels are always kept together?

A. 720

B. 120

C. 1540

D. 4320

3. There are 20 marked tickets (numbered 1 -20), these tickets are mixed up and them drawn out one at a time. Find the probability of that the number drawn out is a multiple of 5 or 3.

A. 1/3

B. 1/2

C. 7/20

D. 9/20

4. A tank contains three pipes for inlet flow which control the flow uniformly. Time taken by first two pipes operating together to fill the tank is same as time taken by third pipe to

fill the tank alone. Pipe 2’s filling rate is 5 hours faster than Pipe 1 and 4 hours slower than Pipe 3. Time taken by Pipe 1 to fill the tank alone is?

A. 15 hours

B. 6 hours

C. 10 hours

D. 25 hours

5. In a school the seats for admission in Physics, Mathematics and English are kept in the ratio 5:7:8. The school receives a proposal to increase the number of seats by 40%, 50% and 75%

correspondingly. What will be the new ratio of seats?

A. 6:7:8

B. 2:3:4

C. 2:3:5

D. 6:8:9

6. Simple interest applied on a given sum at the rate of 9% per annum in 5 years duration is 4016.25 INR. Find the sum.

A. Rs 8925.00

B. Rs 8900.00

C. Rs 8037.50

D. Rs 7167.50

7. The sale for 5 past months for a grocer are:

Rs 6927

Rs 6855

Rs 7230

Rs 6435

Rs 6542

What should be the estimated sale in month 6 to make a total average sale of Rs 6500?

A. Rs 6201

B. Rs 5991

C. Rs 4991

D. Rs 6001

8. Two trains are travelling at the speeds of 20km/hr and 40 km/hr respectively. Assuming that directions of both trains are same, the faster train will pass a man who is sitting inside

the slower one in 5 seconds. Determine the length of this train.

A. 29 m

B. 28 and 4/9 m

C. 27 and 7/9 m

D. 23 m

9. To finish a piece of work A takes double the time of B and triple the time of C. All of them working together can finish the piece in 2 days. Alone B can finish this work in?

A. 4 Days

B. 8 Days

C. 12 Days

D. 6 Days

10. A clock which gains its speed uniformly on a Monday noon was 2 minutes behind standard time, the next Monday 2 pm this clock was 4 minutes 48 faster than standard time. When was the

clock accurate?

A. 2 pm on Thursday

B. 3 pm on Friday

C. 1 pm on Saturday

D. 2 pm on Wednesday

11. If the value of log 27 is 1.431, the value of log 9 will be?

A. 0.954

B. 0.934

C. 0.958

D. 0.937

12. Speed of a motorboat in still water is measured to be 15km/hr. This boat goes 30 km downstream in 4 hours 30 minutes. Calculate the flow of water (speed of stream).

A. 4 kmph

B. 6 kmph

C. 5 kmph

D. 10 kmph

13. Compound interest is applied on Rs 5000 for duration of 1 year at the rate of 4% per annum. What will be the difference between the interest compiled yearly and half yearly?

A. Rs 5.80

B. Rs 2.04

C. Rs 8.70

D. Rs 3.06

Answer Key:

1. B

2. A

3. D

4. A

5. B

6. A

7. C

8. C

9. D

10. D

11. A

12. C

13. B