Practice Probability – A tank has an inlet pipe and an outlet pipe. If the outlet pipe is closed then the inlet pipe fills the empty tank in 8 hours. If the outlet pipe is open then the inlet pipe fills the empty tank in 10 hours. If only the outlet pipe is open then in how many hours the full tank becomes half-full?
Practice Pipes and Cistern – A pool has two water pumps A and B and one drain C. Pump A alone can fill the whole pool in x hours, and pump B alone can fill the whole pool in y hours. The drain can empty the whole pool in z hours, where z>x. With pumps A and B both running and the drain C unstopped till the pool is filled, which of the following represents the amount of water in terms of the fraction of the pool which pump A pumped into the pool?
Practice Pipes and Cistern – Two taps can fill a cistern in 6 min. and 7 min. respectively. If these taps are opened alternatively for a minute, in what time will the cistern be filled?
Practice Pipes and Cistern – 49 pumps can empty a reservoir in 61?2 days, working 8 hours a day. If 196 pumps are used for 5 hours a day, then the same work will be completed in:
Practice Pipes and Cistern – Two taps A and B can fill a cistern in 28 min. and 42 min. respectively. Third tap C can empty it in 42 min. If all the three taps are opened, the time taken to fill the cistern is:
Practice Pipes and Cistern – A cistern can be filled by two pipes A and B in 10 and 15 hours respectively and is then emptied by a tap in 8 hours. If all the taps are opened, the cistern will be fill in:
Practice Pipes and Cistern – Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full in:
Practice Pipes and Cistern – One pipe can fill a tank three 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:
Practice Pipes and Cistern – Two pipes can fill a tank separately in 20 and 24 minutes respectively. Both pipes being opened, find the first pipe must be turned off so that the tank may be just filled in 12 minutes.
Practice Pipes and Cistern – Pipe A takes 16 min to fill a tank. Pipes B and C, whose cross-sectional circumferences are in the ratio 2:3, fill another tank twice as big as the first. If A has a cross-sectional circumference that is one-third of C, how long will it take for B and C to fill the second tank? (Assume the rate at which water flows through a unit cross-sectional area is same for all the three pipes.)
Practice Pipes and Cistern – A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if pipe A is used for half the tank and pipes A and B fill the tank together for the other half?
Practice Pipes and Cistern – A pipe can fill a cistern in 45 minutes. To fill 1/3rd of the cistern it requires:
Practice Pipes and Cistern – The product of a real number and its square is 1728. What is the number?
Practice Pipes and Cistern – How many of the factors of 256 are perfect squares ?
Practice Pipes and Cistern – Which of the numbers given below is NOT rational ?