Practice test

Pipe and cistern - Test Set 1

Review 20 exam-focused questions with detailed explanations, then start the interactive test when you are ready.

20 questions

Questions and explanations

Question 1
Two pipes can fill a tank in 25 hours and 35 hours respectively. Find the time (in hours) taken to fill the tank when both the pipes are opened simultaneously.
1. $\frac{165}{12}$
2. $\frac{175}{14}$
3. $\frac{175}{12}$
4. $\frac{165}{14}$
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Question 2
$\frac{2}{5}$ th of a tank is filled with water. Pipe P can fill it in 10 minutes, while pipe Q can drain it in 6 minutes. If both the pipes P and Q are opened together, then in how much time will the tank be emptied?
1. 7 min
2. 6 min
3. 6.5 min
4. 5.5 min
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Question 3
Pipes A and B working together can fill a water tank in 10 hours. They worked together for 4 hours and then B stopped working and A continued till the end. It took a total of 13 hours to fill the tank. How much time will A alone take to fill the tank?
1. 16 hrs
2. 13 hrs
3. 15 hrs
4. 12 hrs
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Question 4
One pipe can fill a tank three times faster than another. Both the pipes taken together can fill the tank completely in 36 minutes. How many hours will it take for the fast-moving pipe alone to completely fill the tank?
1. $\frac{8}{5}$
2. $\frac{4}{5}$
3. $\frac{12}{5}$
4. $\frac{1}{2}$
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Question 5
One of the two inlet pipes works twice as efficiently as the other. The two, working alongside a drain pipe that can empty a cistern all by itself in 8 hours, can fill the empty cistern in 8 hours. How many hours will the less efficient inlet pipe take to fill the empty cistern by itself?
1. 8
2. 6
3. 12
4. 10
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Question 6
Pipe A can fill a tank in 6 hours. Pipe B can empty it in 15 hours. If both the pipes are opened together, in how many hours will the tank be filled?
1. 8
2. 12
3. 10
4. 9
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Question 7
A pipe can fill a water tank in 15 hours, but due to leakage at the bottom it gets filled in 20 hours. If the tank is full, how much time will it take to plug the leak if there are no other entry or exit points into the tank?
1. 40 hrs
2. 50 hrs
3. 30 hrs
4. 60 hrs
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Question 8
A pipe can fill a tank in 2 hours. Due to leakage from one place, it takes $2 \frac{2}{3} hrs$ time to fill the tank. How much time can it take for the water in the tank to leak out?
1. 6 hrs
2. 11 hrs
3. 8 hrs
4. 15 hrs
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Question 9
Two pipes A and B can fill a tank in $37 \frac{1}{2}$ minutes and 45 minutes respectively. Both pipes are open. The tank will be filled in 30 minutes, if pipe B is closed after ______ minutes.
1. 9 min
2. 6 min
3. 10 min
4. 5 min
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Question 10
Two pipes A and B can fill a tank in 36 minutes and 48 minutes respectively. Both pipes are opened at the same time, and after some time pipe B is closed. If the tank is filled in half an hour, after how many minutes was pipe B closed?
1. 8
2. 5
3. 10
4. 9
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Question 11
The ratio of time taken by three taps P, Q and R to fill a tank separately is 2 : 1 : 6. Which of these taps is the fastest?
1. Can't be determined
2. P
3. Q
4. R
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Question 12
Pipes P and Q when operated together fill a tank in 12 minutes. Q and R when operated together fill it in 20 minutes and P and R when operated together fill it in 15 minutes. In how many minutes can all the 3 pipes fill the tank when operated together?
1. 2 min
2. 10 min
3. 3 min
4. 4 min
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Question 13
Three pipes P, Q and R can fill a tank in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is drained, all three pipes are rolled while they discharge three chemical solutions S, T and U respectively. Find the ratio of solution U to the contents in the tank after 3 minutes.
1. $\frac{6}{11}$
2. $\frac{4}{11}$
3. $\frac{5}{11}$
4. $\frac{7}{11}$
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Question 14
A tank is filled by three pipes A, B and C in 4 hours. Pipe C is twice as fast as pipe B, and pipe B is twice as fast as pipe A. How much time will take A to fill the tank?
1. 25 hrs
2. 26 hrs
3. 20 hrs
4. 28 hrs
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Question 15
Tap A can fill a tank in 6 hours, while tap B can fill it in 8 hours. Pipe C can drain the same tank in 4 hours. If all the taps are turned together, how much time will it take to fill the tank?
1. 20 hrs
2. 26 hrs
3. 22 hrs
4. 24 hrs
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Question 16
There are three pipes A, B and C in a tank. A and B alone can completely fill the tank in 4 hours and 3 hours respectively, and C can empty the completely filled tank in 2 hours. If all three pipes are opened simultaneously, in an empty tank, then in how much time will the tank be completely filled?
1. 16 hrs
2. 12 hrs
3. 14 hrs
4. 10 hrs
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Question 17
Two pipes, working together, can fill a tank in 3 hours, and 4 hours respectively while a third pipe can empty the tank in 8 hours. When the tank was full, all three pipes were opened together. How much time will it take to fill the $\frac{11}{12} th$ part of the tank?
1. 2 hr 10 min
2. 2 hr
3. 1 hr 45 min
4. 2 hr 11 min
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Question 18
Two pipes alone fill a water tank in 25 and 40 hours respectively while a third pipe empties the filled tank in 16 hours. When the tank is completely drained and all three pipes are opened simultaneously, in how much time will the tank be filled?
1. 15 day 18 hrs
2. 2 day 1 hr
3. 16 day 16 hrs
4. 1 day 7 hrs
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Question 19
Pipes A, B and C are connected to a liquid tank. The first two pipes fill the tank completely in 4 and 10 hours respectively, and the third drains the completely filled tank in 6 hours. If all three pipes are rolled together when the tank is half full, how many hours will it take to fill the tank completely?
1. $\frac{90}{11}$
2. $\frac{30}{11}$
3. $\frac{60}{11}$
4. $\frac{120}{11}$
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Question 20
Two pipes can fill a tank in 20 hours and 60 hours respectively. A third pipe is a drainage pipe. If all three pipes are opened together, the tank is filled in 40 hours. How much time will it take for the drainage pipe to empty the filled tank?
1. 24 hrs
2. 28 hrs
3. 20 hrs
4. 30 hrs
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Questions and explanations

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

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Question 19

Question 20