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About Pipes and Cistern MCQs

This topic treats each pipe as doing a fraction of the job per unit of time. Questions ask how long two pipes take to fill a cistern together, how a waste pipe or leak changes the time, and how long a tank takes to empty when an inlet and outlet are open at once. You will also see three-pipe problems where one pipe empties while two fill, and questions where pipes are opened or closed partway through. The key idea is to add filling rates and subtract emptying rates, then take the reciprocal of the total to get the time.

Exams that include Pipes and Cistern MCQs

Pakistan

  • NTS
  • FPSC
  • PPSC
  • OTS
  • Army/Navy/PAF initial tests

India

  • SSC CGL
  • SSC CHSL
  • IBPS PO
  • RRB NTPC

Bangladesh

  • Bank job exams
  • BCS
  • Government job tests

Frequently asked questions

How do you solve a two-pipe filling problem?

Write each pipe's work as a fraction of the tank per minute, add the fractions, and take the reciprocal. For pipes that fill a tank in 15 and 20 minutes, the combined rate is 1/15 plus 1/20, which is 7/60, so together they fill it in 60/7, or about 8.57 minutes.

How do you handle an emptying pipe in these questions?

Treat an emptying or waste pipe as negative work. Subtract its rate from the sum of the filling rates. If the result is positive, the tank fills; if negative, it empties. For example, a filling rate of 1/10 and an emptying rate of 1/15 give a net rate of 1/30 per hour.

Last reviewed October 2026