Competitive Exams : Quantitative Aptitude - Pipes and Cistern (Set 2) | Concept of Maths

Question 1

A garden pond has two inlet pipes. Pipe A can fill it in 4 hours, and Pipe B can fill it in 12 hours. If both pipes are opened together, how long will it take to fill the pond?

Accepted Answer

B) 3 hours

Answer

A) 2 hours

Answer

C) 4 hours

Answer

D) 6 hours

Question 2

A kitchen sink has a tap that can fill it in 6 minutes, and a drain that can empty it in 12 minutes. If both the tap and the drain are open, how long will it take to fill the sink?

Accepted Answer

C) 12 minutes

Answer

A) 8 minutes

Answer

B) 10 minutes

Answer

D) 15 minutes

Question 3

A swimming pool can be filled by Pipe X in 8 hours and emptied by Pipe Y in 24 hours. If both are opened together, in how many hours will the pool be filled?

Accepted Answer

C) 12 hours

Answer

A) 6 hours

Answer

B) 10 hours

Answer

D) 16 hours

Question 4

A water reservoir is filled by three pipes, P1, P2, and P3, in 2 hours, 3 hours, and 6 hours respectively. How long will it take to fill the reservoir if all three pipes are opened simultaneously?

Accepted Answer

A) 1 hour

Answer

B) 1.2 hours

Answer

C) 1.5 hours

Answer

D) 2 hours

Question 5

A milk vat can be filled by an inlet pipe in 10 minutes. An outlet pipe can empty the full vat in 15 minutes. If the vat is empty and both pipes are opened, how long will it take to fill the vat?

Accepted Answer

C) 30 minutes

Answer

A) 20 minutes

Answer

B) 25 minutes

Answer

D) 35 minutes

Question 6

A hot tub is filled by Tap A in 15 minutes and Tap B in 30 minutes. How long will it take to fill the hot tub if both taps are running together?

Accepted Answer

B) 10 minutes

Answer

A) 8 minutes

Answer

C) 12 minutes

Answer

D) 15 minutes

Question 7

An aquarium is filled by Pipe A in 4 hours and can be emptied by a leak at the bottom in 20 hours. How long will it take to fill the aquarium if the leak is active?

Accepted Answer

B) 5 hours

Answer

A) 4.5 hours

Answer

C) 6 hours

Answer

D) 8 hours

Question 8

Two pipes can fill a storage tank in 12 hours and 15 hours respectively, while a waste pipe can empty it in 20 hours. If all three pipes are opened together, in how many hours will the tank be filled?

Accepted Answer

B) 10 hours

Answer

A) 8 hours

Answer

C) 12 hours

Answer

D) 15 hours

Question 9

A small fountain pool has two filling taps. Tap 1 fills it in 9 minutes and Tap 2 fills it in 18 minutes. How long does it take to fill the pool if both are turned on?

Accepted Answer

C) 6 minutes

Answer

A) 4.5 minutes

Answer

B) 5 minutes

Answer

D) 7 minutes

Question 10

Pipe P can fill a cistern in 12 minutes, and Pipe Q can fill it in 36 minutes. If they are opened together, what fraction of the cistern is filled in 6 minutes?

Accepted Answer

B) 2/3

Answer

A) 1/2

Answer

C) 3/4

Answer

D) 5/6

Question 11

An overhead tank is filled by Pipe A in 15 hours. Due to a leak at the bottom, it takes 20 hours to fill the tank. How long would the leak take to empty the completely full tank?

Accepted Answer

C) 60 hours

Answer

A) 40 hours

Answer

B) 50 hours

Answer

D) 80 hours

Question 12

A barrel is filled by Tap X in 20 minutes and Tap Y in 30 minutes. If Tap X is opened for 5 minutes and then closed, and Tap Y is opened, how long will Tap Y take to fill the remaining part of the barrel?

Accepted Answer

C) 22.5 minutes

Answer

A) 15 minutes

Answer

B) 20 minutes

Answer

D) 25 minutes

Question 13

Three pipes A, B, and C can fill a tank in 6 hours. After working together for 2 hours, pipe C is closed and A and B can fill the remaining part in 8 hours. How many hours will pipe C alone take to fill the tank?

Accepted Answer

B) 12 hours

Answer

A) 10 hours

Answer

C) 15 hours

Answer

D) 18 hours

Question 14

Two pipes can fill a reservoir in 20 hours and 30 hours respectively. If both pipes are opened together, when should the first pipe be closed so that the reservoir is filled in exactly 18 hours?

Accepted Answer

B) 8 hours

Answer

A) 6 hours

Answer

C) 9 hours

Answer

D) 10 hours

Question 15

A tank has a leak which can empty it in 8 hours. A tap is turned on which admits 6 liters of water per minute into the tank, and it is now emptied in 12 hours. What is the capacity of the tank?

Accepted Answer

C) 8640 liters

Answer

A) 4320 liters

Answer

B) 5760 liters

Answer

D) 9000 liters

Question 16

Pipe A can fill a tank in 12 minutes and Pipe B can fill it in 18 minutes. If both are opened together, but Pipe A is closed 3 minutes before the tank is full, how long does it take to fill the tank?

Accepted Answer

B) 9 minutes

Answer

A) 8 minutes

Answer

C) 10 minutes

Answer

D) 11 minutes

Question 17

One tap can fill a tub twice as fast as another tap. If both taps together can fill the tub in 8 minutes, how long will the slower tap alone take to fill it?

Accepted Answer

C) 24 minutes

Answer

A) 12 minutes

Answer

B) 16 minutes

Answer

D) 32 minutes

Question 18

A large tank is filled by Pipe A in 6 hours and Pipe B in 8 hours. Pipe C can empty the full tank in 12 hours. If all three pipes are opened at the same time, how long will it take to fill the tank?

Accepted Answer

C) 4.8 hours

Answer

A) 4 hours

Answer

B) 4.5 hours

Answer

D) 5.2 hours

Question 19

A booster pump can fill a water tank in 12 minutes. However, a small puncture in the tank empties it in 60 minutes when the pump is off. How long will it take the booster pump to fill the tank if the puncture is not sealed?

Accepted Answer

B) 15 minutes

Answer

A) 14 minutes

Answer

C) 16 minutes

Answer

D) 18 minutes

Question 20

Pipe A can fill a reservoir in 12 minutes, Pipe B in 15 minutes, and Pipe C can empty it in 20 minutes. If all three pipes are opened together, what percentage of the reservoir is filled after 5 minutes?

Accepted Answer

C) 50%

Answer

A) 40%

Answer

B) 45%

Answer

D) 60%