AMCAT Quantitative Ability: Applied Mathematics 2

Question 1

A pipe can fill a tank in 12 hours and another pipe can empty it in 18 hours. If both are opened simultaneously, in how many hours will the tank be filled?

Accepted Answer

36 hours

Answer

24 hours

Answer

30 hours

Answer

20 hours

Question 2

A train travels at 60 km/h for the first half of the distance and 90 km/h for the second half. What is the average speed?

Accepted Answer

72 km/h

Answer

75 km/h

Answer

70 km/h

Answer

80 km/h

Question 3

The ages of A and B are in ratio 5:3. After 6 years the ratio becomes 7:5. What is A's current age?

Accepted Answer

15 years

Answer

10 years

Answer

12 years

Answer

18 years

Question 4

If 8 workers can complete a task in 15 days, how many days will 12 workers take to complete the same task?

Accepted Answer

10 days

Answer

12 days

Answer

8 days

Answer

9 days

Question 5

The simple interest on a sum for 3 years at 8% per annum is Rs 1440. What is the principal?

Accepted Answer

Rs 6000

Answer

Rs 5400

Answer

Rs 4800

Answer

Rs 7200

Question 6

A number when divided by 3 leaves remainder 1, and when divided by 4 leaves remainder 2. The smallest such positive number is:

Accepted Answer

10

Answer

22

Answer

13

Answer

7

A pipe can fill a tank in 12 hours and another pipe can empty it in 18 hours.If both are opened simultaneously, in how many hours will the tank be filled?

A pipe can fill a tank in 12 hours and another pipe can empty it in 18 hours.
If both are opened simultaneously, in how many hours will the tank be filled?