CLAT - Mathematical Ability - Pipes and Cisterns

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Question - 1

One tap can fill a cistern in 2 hours and another can empty the cistern in 3 hours. How long will they take to fill the cistern if both the taps are opened?

  • A 6 hours
  • B 7 hours
  • C 6.30 hours
  • D None of these

Question - 2

A water tank is \(\frac{2}{5}\) th full. Pipe A can fill the tank in 10 minutes and the pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?

  • A 6 minutes to fill
  • B 6 minutes to empty
  • C 8 minutes to fill
  • D None of these

Question - 3

Two pipes A and B can fill a cistern in 24 minutes and 30 minutes, respectively. There is also an outlet C. If all the three pipes are opened together, the cistern is full in 20 minutes. How much time will be taken by C to empty the full cistern?

  • A 30 minutes
  • B 40 minutes
  • C 45 minutes
  • D None of these

Question - 4

A cistern has a leak which would empty in 8 hours. A tap is turned on which admits 6 litres a minute into the cistern and it is now empty in 12 hours. The cistern can hold

  • A 6840 litres
  • B 7860 litres
  • C 8640 litres
  • D None of these

Question - 5

One filling pipe A is 3 times faster than second filling pipe B and takes 32 minutes less than the filling pipe B. When will the cistern be full if both pipes are opened together?

  • A 28 minutes
  • B 12 minutes
  • C 30 minutes
  • D Data inadequate.

Question - 6

Two pipes A and B can separately fill a cistern in 15 minutes and 18 minutes, respectively, while a third pipe C can empty it in 6 minutes. Two pipes A and B are kept open for 6 minutes in the beginning and then the third pipe is also opened. In what time will the cistern be emptied?

  • A \(16\frac{1}{2}\) minutes
  • B 15 minutes
  • C \(15\frac{1}{2}\) minutes
  • D 16 minutes

Question - 7

Two taps can separately fill a cistern in 10 minutes and 15 minutes, respectively and when the waste pipe is open, they cart together fill it in 18 minutes. The waste pipe can empty the full cistern in

  • A 7 min
  • B 9 min
  • C 13 min
  • D 23 min

Question - 8

Three-fourth of a tank is full of water. If 5 litres are added to it, then four-fifth of the tank becomes full. What is the capacity of the tank?

  • A 75 litres
  • B 80 litres
  • C 100 litres
  • D 120 litres

Question - 9

A cistern is filled in 5 hours and it takes 6 hours when there is a leak in its bottom. If the cistern is full, in what time shall the leak empty it?

  • A 6 hrs
  • B 5 hrs
  • C 30 hrs
  • D 15 hrs

Question - 10

A cistern can be filled by two pipes in 20 minutes and 30 minutes, respectively. When both pipes are opened, when must the first pipe be turned off so that the cistern may be filled in 10 minutes more?

  • A after 10 minutes
  • B after 12 minutes
  • C after 8 minutes
  • D after 6 minutes
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