Pipe and Cistern Questions and Answers for Competitive Exams
Four pipes P, Q, R and S can fill a cistern in 25, 20, 50 and 40 hours respectively. The pipe Q was opened at 7 pm, P at 9 pm, S at 10 pm and R at 11 pm. When will the cistern be full?
(A) 3 : 29 AM
(B) 2 : 47 AM
(C) 4 : 09 AM
(D) 5 : 02 AM
Correct Answer : C
A pipe can fill a tank in 72 minutes. But there is a leak in the bottom of the tank due to which the tank is filled in 18 minutes more. Find in how many hours the leak can empty a full tank ?
(A) 7 hrs
(B) 6.5 hrs
(C) 9 hrs
(D) 6 hrs
Correct Answer : D
Two pipes, A and B, can fill a tank in X minutes and 6 minutes, respectively. If both the pipes are used together, then they take 1.5 minute to fill the tank. Find the value of X.
(A) 1 min
(B) 4 min
(C) 5 min
(D) 2 min
Correct Answer : D
Water flows into a tank which is 200 m long and 150 m wide, through a pipe of cross-section (0.3m x 0.2m) at 20 km/h. In what time will the water level be 8 m?
(A) 450
(B) 500
(C) 200
(D) 250
(E) 350
Correct Answer : C
20 buckets of water fill a tank when the capacity of each bucket is 14.5 litres. How many buckets will be required to fill the same tank if the capacity of each bucket is 10 litres?
(A) 31
(B) 29
(C) 32
(D) 30
Correct Answer : B
A pipe can fill a tank in x hours and an another can empty it in y hours. In how many hours will they together fill it. If y>x?
(A) $$ {xy\over y-x}{hrs}$$
(B) $$ {y-x\over xy}{hrs}$$
(C) $$ {2yx\over y-x}{\ hs}$$
(D) Can’t be determined
Correct Answer : A
Water flows in to a tank 15 m.×10 m. through a rectangular pipe 2 m.×1.5 m. at 20 km./hr. In how much time will the water level in the tank rise by 3m.?
(A) 23 seconds
(B) 27 seconds
(C) 15 seconds
(D) 19 seconds
Correct Answer : B
Two pipes A and B can fill a tank in 3 hours and 5 hours. Then, if all three are open, the tank is filled in 30 hours. Find in how many hours a third pipe will empty the tank?
(A) 4 hours
(B) 2 hours
(C) 8 hours
(D) 6 hours
Correct Answer : B
A Cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously then after how much time will the cistern get filled?
(A) 6.5 hrs
(B) 7.2 hrs
(C) 2.5 hrs
(D) 3 hrs
Correct Answer : B
Two pipes A and B can fill a cistern in 24 minutes and 30 minutes respectively. Both are opened together, but at the end of 6 minutes the first is turned off. How much longer pipe B will take to fill the cistern?
(A) $$ {22{1\over 2}}{minute}$$
(B) 21 minute
(C) 24 minute
(D) 25 minute
(E) $$ {23{1\over 2}}{minute}$$
Correct Answer : A