PIPE AND CISTERN MCQ SET 5
1. An inlet pipe can fill an empty tank in 140 hours while an outlet pipe drains a completely – filled tank in 63 hours . If 8 inlet pipes and y outlet pipes are opened simultaneously , when the tank is empty , then the tank gets completely filled in 105 hours . Find the value of y .
(a) 1
(b) 4
(c) 3
(d) 2
Answer: C
2. Two pipes can fill a tank separately in 36 minutes and 45 minutes respectively . A drain pipe installed in the tank can remove 40 liters of water per minute . If all three pipes are opened together , the tank is filled in one hour . Find the capacity/holding (in litres) of the tank .
(a) 600
(b) 400
(c) 300
(d) 1200
Answer: D
3. When operated seperately , pipe A take 5 hours less than pipe B to fill a cistern and when both pipe are operated together , the cistern get filled in 6 hours . In how much time (in hours) will pipe B fill the cistern , if operated?
(a) 9
(b) 18
(c) 10
(d) 15
Answer: D
4. Pipe A and Pipe B running together can fill a cistern in 6 minutes . If B takes 5 minutes more than A to fill it , then the time in which A and B will fill that cistern separately will be , respectively , _____ .
(a) 15 min and 10 min
(b) 15 min and 20 min
(c) 25 min and 20 min
(d) 10 min and 15 min
Answer: D
5. The tank is filled by three pipes with different uniform flow rates . While the first two pipes are operating simultaneously , they fill the tank in the same duration that the third pipe takes to fill it alone . The second pipe can fill the tank 5 hours quicker than the first pipe , yet 4 hours slower than the third pipe . What is the time(in hours) needed for the first pipe to fill the tank?
(a) 18
(b) 12
(c) 9
(d) 15
Answer: D
6. Pipe A takes 4/5 of the time required by pipe B to fill an empty tank individually . When an outlet pipe C is also opened simultaneously with pipes A and B , it takes 4/5 more time to fill the empty tank than it takes when only pipe A and pipe B are opened together . If it takes 40 hours to fill the tank when all the three pipes are opened simultaneously , in what time (in hours) will pipe C empty the full tank , operated alone ?
(a) 50 hours
(b) 45 hours
(c) 65 hours
(d) 75 hours
Answer: A
7. Pipes M , N and S can fill a tank in 25 , 50 and 100 minutes , respectively . Initially , pipes N and S are kept open for 10 minutes , and then pipe N is shut while pipe M is opened . Pipe S is closed 15 minutes before the tank overflows . How much time (in minutes) will it take to fill the tank if the three pipes work in this pattern?
(a) 30
(b) 33
(c) 42
(d) 27
ย Answer: D
8. Pipe Q can fill the tank in 60 hours while pipe R may fill in 45 hours . Q and R pipes are opened together for 6 hours after which pipe W is also opened to empty the tank . All three pipe are opened simultaneously for 24 hours to reach the half level mark . How much time (in hours) will pipe W alone take to empty the entire tank ?
(a) 48
(b) 42
(c) 36
(d) 30
Answer: C
9. Pipe A can fill a tank in 16 minutes and pipe B empties it in 24 minutes . If both the pipes are opened together after how many minutes should B be closed , so that the tank is filled in 30 minutes?
(a) 21 minutes
(b) 20 minutes
(c) 18 minutes
(d) 15 minutes
Answer: A
10. P can fill a tank in 5 hours . Q can fill the same tank in 10 hours . R can empty the same tank in 20 hours . How much time will all the three take together to fill the tank?
(a) 10 hours
(b) 4 hours
(c)ย 6 hours
(d)ย 5 hours
Answer: B
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