Pipe and Cistern MCQ Set 4
PIPE AND CISTERN MCQ SET 4
1. Two pipes A and B can fill a tank in 20 and 30 hours , respectively . Both pipes are opened to fill the tank , but when the tank is one – third full , a leak develops through which one – fourth of the water supplied by both pipes goes out . Find the total time (in hours) taken to fill the tank .
(a) 14 2/3
(b) 14
(c) 11 2/5
(d) 12 1/3
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Answer: A
2. Two pipe A and B can fill a cistern in 12 1/2 hours and 25 hours respectively . The pipes are opened simultaneously and it is found that due to a leakage in the bottom , it took 1 hour and 40 minutes more to fill the cistern . When the cistern is full , in how much time will the leak empty the cistern?
(a) 42 hours
(b) 48 hours
(c) 45 hours
(d) 50 hours
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Answer: D
3. Pipe A can fill a tank in 12 hours and pipe B takes 18 hours to fill it . Both pipes were opened together and a leak was spotted which increased the filling up time by 48 minutes . Find how many hours will it take for the leak to empty a full tank .
(a) 60
(b) 68
(c) 72
(d) 64
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Answer: C
4. A cistern can be filled by two pipes in 8 minutes and 10 minutes , separately . Both the pipes are opened together for a certain time , but due to an obstruction , only 5/8 of the full quantity of water flowed through the former pipe and 3/5 through the latter pipe . However , the obstruction was suddenly removed , and the cistern was filled in 3 minutes from that moment . How long did it take before the full flow began?
(a) 3 1/16 minutes
(b) 2 6/17 minutes
(c) 9 6/7 minutes
(d) 2 30/37 minutes
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Answer: B
5. Pipe A and B are filling pipes while C is an emptying pipe . A and B can fill a tank in 72 and 90 minutes respectively . When all the three pipes are opened together , the tank gets filled in 2 hours . A and B are opened together for 12 minutes , then closed and C is opened . The tank will be empty after .
(a) 15 minutes
(b) 18 minutes
(c) 12 minutes
(d) 16 minutes
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Answer: B
6. Pipes A and B can fill a tank in 15 hours and 20 hours , respectively . Pipe C is an emptying pipe . A and B are opened together for 4 hours , and then only A is closed and C opened . It took 19 1/5 hours more to fill the tank . Pipe C alone can empty the full tank in :
(a) 42 hours
(b) 48 hours
(c) 45 hours
(d) 40 hours
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Answer: C
7. Pipe A and B can fill a tank in 10 hours and 40 hours , respectively . C is an outlet pipe attached to the tank . If all the three pipes are opened simultaneously , it takes 80 minutes more time than what A and B together take to fill the tank . A and B are kept open for 7 hours and then closed and C is opened . C will now empty the tank in :
(a) 45.5 hours
(b) 38.5 hours
(c) 42 hours
(d) 49 hours
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Answer: D
8. Inlet Pipes A and B can together fill an empty tank in 1.5 hours . Outlet Pipe C , when opened alone , can empty the completely filled tank , in 4.5 hours . When only Pipes A and C are opened together , the empty tank is filled in 6 hours . Find the time taken by Pipe B , when opened alone , to fill the empty tank .
(a) 3 hours 30 min.
(b) 3 hours 36 min.
(c) 3 hours 32 min.
(d) 3 hours 40 min.
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Answer: B
9. An inlet pipe can fill an empty tank in 120 hours while an outlet pipe drains a completely filled tank in 54 hours . If 8 inlet pipes and 3 outlet pipes are opened simultaneously , when the tank is empty , then in how many hours will the tank get completely filled?
(a) 81
(b) 96
(c) 72
(d) 90
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Answer: D
10. Each inlet pipe can fill an empty cistern in 84 hours while each drain pipe can empty the same cistern from a filled condition in 105 hours . When the cistern is empty , 9 inlet pipes and 10 outlet pipes are simultaneously opened . After how many hours will the cistern be completely filled?
(a) 84
(b) 88
(c) 80
(d) 90
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Answer: A