1 .
Pipes A and B can fill a tank in 5 and 6 hours, respectively. Pipe C can empty it in 12 hours. The tank is half full. All the three pipes are in operation simultaneously. After how much time, the tank will be full ?
A.  3$9 \over 17$ h
B.  11 h
C.  2$8 \over 11$ h
D.  1$13 \over 17$ h
E.  2$3 \over 17$ h
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2 .
A cistern has two taps (which fill it in 12 min and 15 min, respectively) and an exhaust tap. When all three taps are opened together, it takes 20 min to fill the empty cistern. How long will the exhaust tap take to empty it ?
A.  20 min
B.  16 min
C.  12 min
D.  10 min
E.  7 min
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3 .
A cistern is filled up in 5 hours and it takes 6 hours when there is a leak in its bottom. If the cistern is full, in what time shall the leak empty it ?
A.  6 h
B.  5 h
C.  30 h
D.  15 h
E.  25 h
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4 .
Pipe A and B running together can fill a cistern in 6 minutes. If B takes 5 minutes more than A to fill the cistern then the times in which A and B will fill the cistern separately will be, respectively:
A.  15 min, 20 min
B.  15 min, 10 min
C.  10 min, 15 min
D.  25 min, 20 min
E.  None of these
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5 .
Two pipes can fill a tank in 10 hours and 12 hours respectively, while the third can empty it in 20 hours . If all the pipes are opened together, the tank will be filled in :
A.  7$1 \over 2$ hours
B.  10 hours
C.  8 hours
D.  9 $1 \over 10$ hours
E.  6 hours
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6 .
A pipe can fill a cistern in 6 hours. Due to a leak in its bottom, it is filled in 7 hours. When the cistern is full, in how much time will it be emptied by the leak?
A.  42 hours
B.  40 hours
C.  43 hours
D.  45 hours
E.  48 hours
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7 .
Three pipes A, B and C can fill a tank in 6 minuets, 8 minutes and 12 minutes, respectively. The pipe C is closed 6 minutes before the tank is filled. In what time will the tank be full ?
A.  4 min
B.  6 min
C.  5 min
D.  Data inadequate
E.  None of these
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8 .
There are two taps to fill a tank while a third to empty it. When the third tap is closed, they can fill the tank in 10 minutes and 12 minutes, respectively. If all the three taps be opened, the tank is filled in 15 minutes. If the first two taps are closed, in what time can the third tap empty the tank when it is full?
A.  8 min and 34 sec
B.  9 min and 32 sec
C.  7 min
D.  6 min
E.  None of these
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9 .
A cistern has two taps which fill it in 24 minutes and 30 minutes respectively. There is also a waste pipe in the cistern. When all the pipes are opened, the empty cistern is full in 40 minutes. How long will the waste pipe take to empty a full cistern?
A.  12 minutes
B.  10 minutes
C.  8 minutes
D.  16 minutes
E.  20 minutes
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10 .
Two taps can fill a tank in 20 minutes and 30 minutes respectively. There is an outlet tap at exactly half level of that rectangular tank which can pump out 50 litres of water per minute. If the outlet tap is open, then it takes 24 minutes to fill an empty tank. What is the volume of the tank?
A.  1800 litres
B.  1500 litres
C.  1200 litres
D.  2400 litres
E.  None of these
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11 .
Two taps can separately fill a cistern in 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 minutes
B.  13 minutes
C.  9 minutes
D.  23 minutes
E.  25 minutes
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12 .
Two pipes P and Q would fill a cistern in 24 and 32 minutes, respectively. Both pipes are kept open. When should the first pipe be turned off so that the cistern may be just filled in 16 minutes?
A.  After 10 minutes
B.  After 12 minutes
C.  After 14 minutes
D.  After 16 minutes
E.  None of these
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13 .
One tap can fill a cistern in 2 hours and another can empty the cistern in 3 hours. How long will they take to fill the cistern if both the taps are open?
A.  7 hours
B.  6 hours
C.  5 hours
D.  8 hours
E.  None of these
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14 .
A cistern has a leak which would empty it in 8 hours. A tap is turned on which admits 6 litres a minute into the cistern and it is now emptied in 12 hours. The cistern can hold
A.  7860 litres
B.  6840 litres
C.  8640 litres
D.  8840 litres
E.  None of these
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15 .
A tap can fill a cistern in 8 hours and another tap can empty it in 16 hours. If both the taps are opened simultaneously, the time taken (in hours) to fill the cistern will be :
A.  8
B.  10
C.  16
D.  24
E.  None of these
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16 .
A tap can fill a tank in 16 minutes and another can empty it in 8 minutes. If the tank is already 1/2 full and both the taps are opened together, will the tank be filled or emptied? How long will it take before the tank is either filled or emptied completely as the case may be ?
A.  Emptied; 16 min
B.  Filled; 8 min
C.  Emptied; 8 min
D.  Filled; 12 min
E.  None of these
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17 .
A pipe can fill a tank in 15 minutes and another one in 10 minutes. A third pipe can empty the tank in 5 minutes. The first two pipes are kept open for 4 minutes in the beginning and then the third pipe is also opened. In what time will the tank be emptied ?
A.  35 min
B.  15 min
C.  20 min
D.  Cannot be emptied
E.  None of these
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18 .
Two taps can fill a tank in 60 and 48 min, respectively. A third tap can empty it in 80 min. If all the taps are opened at the same time, then in how much time will the tank be filled ?
A.  18$1 \over 2$ min
B.  40 min
C.  41$1 \over 3$ min
D.  44 min
E.  None of these
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19 .
A bath tub can be filled by a cold water pipe in 20 minutes and by a hot water pipe in 30 minutes. A person leaves the bath-room after turning on both pipes simultaneously and returns at the moment when the bath tub should be full. Finding however, that the waste pipe has been open, he now closes it. In 3 minutes more the bath tub is full. In what time would the waste pipe empty it?
A.  38 min
B.  45 min
C.  42 min
D.  48 min
E.  None of these
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20 .
Three pipes A, B and C can fill a tank in 20 min, 10 min and 30 min respectively. When the tank is empty, all the three pipes are opened. A, B, C discharge chemical solutions 'x', 'y', 'z' respectively. The proportion of solution 'y' in the liquid in the tank after 3 min is
A.  6/11
B.  7/11
C.  8/11
D.  5/11
E.  None of these
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21 .
Three taps A, B and C can fill a tank in 12, 15 and 20 h respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be filled in
A.  6 h
B.  7 h
C.  5 h
D.  8 h
E.  None of these
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22 .
A pump can be operated both for filling a tank and for emptying it. The capacity of tank is 2400 $m^3$. The emptying capacity of the pump is 10 $m^3$ per min higher than its filling capacity. Consequently, the pump needs 8 min less to empty the tank than to fill it. Find the filling capacity of the pump.
A.  45 $m^3$/min
B.  30 $m^3$/min
C.  50 $m^3$/min
D.  55 $m^3$/min
E.  None of these
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23 .
Two pipes A and B can fill a cistern in 12 min and 15 min respectively, while a third pipe C can empty it in 6 min. Both A and B pipes are opened together for 5 min and then the third pipe C is opened. In what time will the cistern be emptied?
A.  39 min
B.  47 min
C.  45 min
D.  25 min
E.  None of these
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24 .
A tank is fitted with 8 pipes, some of them that fill the tank and other pipes are meant to empty the tank. Each pipe that fills the tank can fill it in 8 h, while each of those that empty the tank can empty it in 6 h. All the pipes are kept open. When tank is full, it will take exactly 6 h for the tank to empty. How many pipes are filling the tank?
A.  5
B.  7
C.  8
D.  4
E.  None of these
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25 .
A leak in the bottom of a tank can empty the full tank in 6 h. An inlet pipe fills water at the rate of 4 L per min. When the tank is full, the inlet is opened and due to the leak the tank is emptied in 8 h. The capacity of the tank is
A.  9600 L
B.  5760 L
C.  2880 L
D.  5240 L
E.  None of these
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26 .
An electric pump can fill a tank in 3 hours. Because of a leak in the tank, it took 3$1 \over 2$ hours to fill the tank. The leak can drain out all the water of tank in
A.  10$1 \over 2$ h
B.  12 h
C.  21 h
D.  24 h
E.  None of these
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27 .
In what time would a cistern be filled by three pipes running together, whose diameters are 1 cm, 1$1 \over 3$ cm, 2cm, when the largest alone will fill it in 3660 seconds: the amount of water flowing in by each pipe being proportional to the square of its diameter?
A.  40 min
B.  36 min
C.  45 min
D.  38 min
E.  None of these
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28 .
A leak in the bottom of a tank can empty the full tank in 8 hours. An inlet pipe fills water in the tank at the rate of 4 litres per minute. When the tank is full, the inlet is opened and due to a leak, the tank is emptied in 12 hours. How many litres does the cistern hold?
A.  6250 litres
B.  5760 litres
C.  5200 litres
D.  4546 litres
E.  None of these
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29 .
A cistern has three pipes, A, B and C. The pipes A and B can fill it in 4 and 5 hours respectively and pipe C can empty it in 2 hours. If the pipes are opened in an order at 1, 2 and 3 A.M., when will the cistern be empty?
A.  3 PM
B.  7 PM
C.  4 PM
D.  5 PM
E.  None of these
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