Mathematics Mcqs

Two pipes A and B can fill a tank in 4 and 5 hours respectively. If they are turned up alternately for one hour each, the time taken to fill the tank is?

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Two pipes A and B can fill a tank in 4 and 5 hours respectively. If they are turned up alternately for one hour each, the time taken to fill the tank is?

A. 2 hrs 15 min
B. 4 hrs 24 min
C. 5 hrs
D. 3 hrs
Explanation:
1/4 + 1/5 = 9/20
20/9 = 2 2/9
9/20 * 2 = 9/10 —- 4 hours
WR = 1 – 9/10 = 1/10
1 h —- 1/4
? —– 1/10
2/5 * 60 = 24 = 4 hrs 24 min

A cistern is filled by a tap in 3 1/2 hours. Due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full how long will it take the leak to empty it?

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A cistern is filled by a tap in 3 1/2 hours. Due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full how long will it take the leak to empty it?

A. 7 hours
B. 8 hours
C. 14 hours
D. 28 hours
Explanation:
2/7 – 1/x = 1/4
x = 28

Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?

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Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?

A. 7 min
B. 13 min
C. 23 min
D. 9 min
Explanation:
1/10 + 1/15 – 1/x = 1/18
x = 9

A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?

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A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?

A. 480 liters
B. 600 liters
C. 720 liters
D. 800 liters
Explanation:
1/x – 1/20 = -1/24
x = 120
120 * 4 = 480

Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?

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Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?

A. 9 1/4 min
B. 11 1/4 min
C. 7 1/4 min
D. 8 1/2 min
Explanation:
3/12 + x/15 = 1
x= 11 1/4

Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?

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Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?

A. 9 min
B. 10 min
C. 11 min
D. 12 min
4/12 + x/15 = 1
x = 10

Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?

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Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?

A. 19 1/7 min
B. 15 1/7 min
C. 17 1/7 min
D. 7 1/7 min
Explanation:
1/20 + 1/30 – 1/40 = 7/120
120/7 = 17 1/7