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Total No Of Questions: 30.
1) An empty cistern has three taps P, Q and R. P and Q can fill it in 3 and 4 hours respectively. R can empty it in one hour. If P, Q and R are kept opened at 1 P.M., 2 P.M., 3 P.M., respectively, find when the cistern will be empty?

2) Two pipes P and Q can fill a cistern in 12 minutes and 18 minutes respectively. They are turned on at the same time.If the tap P is turned off after 4 minutes, how long will tap Q take to fill the rest cistern?

3) Two pipes P and Q can fill a cistern in 12 minutes and 15 minutes respectively, while a third pipe R can empty the full cistern in 6 minutes. P and Q are kept open for 5 minutes in the beginning and then R is also opened. In what time the cistern is emptied?

4) Two pipes P and Q can fill a cistern in 10 minutes and 15 minutes respectively. But an empty pipe R can empty it in 5 minutes. The pipes P and Q are opened for 4 minutes and then the empty pipe R is also opened. In what time is the cistern emptied?

5) Two taps can fill an empty tank in 36 minutes and 60 minutes respectively. A third tap can empty the full tank in 90 minutes. At what time will an empty tank be filled if all the three are opened simultaneously at 8.50 A.M.?

6) A tap can fill a cistern in 20 minutes. And another can fill it in 30 minutes. If both are opened simultaneously, find the time when the cistern will be full?

7) One pipe can fill a tank 3 times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in________

8) Bucket P has thrice the capacity as Bucket Q. It takes 60 turns for Bucket P to fill the empty drum. How many turns will it take for both the buckets P and Q having each turn together to fill the empty drum?

9) A cistern normally takes 7 hours to be filled by a tap, but because of a leak it takes one hour more. In how many hours will the leak empty a filled cistern?

10) Two pipes P and Q separately fill a cistern in 7 and 5 minutes respectively and drain pipe R can carry off 14 litres per minute. If all the pipes are opened, when the cistern is full, it is emptied in one hour. How many litres does it hold?
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