1). A cistern can be filled up in 4 h by an inlet A. An outlet B can empty the cistern in 8 h. If both A and B are opened simultaneously, then after how much time the cistern get filled?
A). 5 h 
B). 7 h 
C). 8 h 
D). 6 h 
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2). A pipe can fill a tank in 20 h. Due to a leak in the bottom, it is filled in 40 h. If the tank is full, how much time will the leak take to empty it?
A). 40 h 
B). 30 h 
C). 50 h 
D). 30 h 
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3). A pipe can fill a tank in 10 h, while an another pipe can empty it in 6 h. Find the time taken to empty the tank, when both the pipes are opened up simultaneously.
A). 11 h 
B). 15 h 
C). 18 h 
D). 16 h 
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4). Three taps are fitted in a cistern. The empty cistern is filled by the first and the second taps in 3 and 4 h, respectively. The full cistern is emptied by the third tap in 5 h. If all three taps are opened simultaneously, the empty cistern will be filled up in
A). \( \Large 1\frac{14}{23} \) 
B). \( \Large 2\frac{14}{23} \) 
C). 2 h 40 min 
D). 1 h 56 min 
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5). Pipe A can fill a tank in 30 min, while pipe B can fill the same tank in 10 min and pipe C can empty the full tank in 40 min. If all the pipes are opened together, how much time will be needed to make the tank full?
A). \( \Large 9\frac{3}{13} \) h 
B). \( \Large 9\frac{4}{13} \) h 
C). \( \Large 9\frac{7}{13} \) h 
D). \( \Large 9\frac{9}{13} \) h 
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6). Pipes A and B can fill a tank in 5 and 6 h, respectively. Pipe C can fill it in 30 h. If all the three pipes are opened together, then in how much time the tank will be filled up?
A). \( \Large 3\frac{3}{14} \) h 
B). \( \Large 2\frac{1}{2} \) h 
C). \( \Large 3\frac{9}{14} \) h 
D). \( \Large 2\frac{1}{14} \) h 
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7). Through an inlet, a tank takes 8 h to get filled up. Due to a leak in the bottom, it takes 2 h more to get it filled completely. If the tank is full, how much time will the leak take to empty it?
A). 16 h 
B). 20 h 
C). 32 h 
D). 40 h 
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8). A tap can fill an empty tank in 12 h and a leakage can empty the tank in 20 h. If tap and leakage both work together, then how long will it take to fill the tank?
A). 25 h 
B). 40 h 
C). 30 h 
D). 35 h 
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9). Three taps A, B and C together can fill an empty cistern in 10 min. The tap A alone can fill it in 30 min and the tap B alone can fill it in 40 min. How long will the tap C alone take to fill it?
A). 16 min 
B). 24 min 
C). 32 min 
D). 40 min 
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10). Two pipes P and Q can fill a cistern in 12 and 15 min, respectively. If both are opened together and at the end of 3 min, the first is closed. How much longer will the cistern take to fill?
A). \( \Large 8\frac{1}{4} \) 
B). \( \Large 8\frac{3}{4} \) 
C). 5 min 
D). \( \Large 8\frac{1}{2} \) 
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