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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 ?
3$9 \over 17$ h
11 h
2$8 \over 11$ h
1$13 \over 17$ h
2$3 \over 17$ h
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 ?
20 min
16 min
12 min
10 min
7 min
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 ?
6 h
5 h
30 h
15 h
25 h
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:
15 min, 20 min
15 min, 10 min
10 min, 15 min
25 min, 20 min
None of these
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 :
7$1 \over 2$ hours
10 hours
8 hours
9 $1 \over 10$ hours
6 hours
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?
42 hours
40 hours
43 hours
45 hours
48 hours
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 ?
4 min
6 min
5 min
None of these
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?
8 min and 34 sec
9 min and 32 sec
7 min
6 min
None of these
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?
12 minutes
10 minutes
8 minutes
16 minutes
20 minutes
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?
1800 litres
1500 litres
1200 litres
2400 litres
None of these
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 :
7 minutes
13 minutes
9 minutes
23 minutes
25 minutes
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?
After 10 minutes
After 12 minutes
After 14 minutes
After 16 minutes
None of these
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?
7 hours
6 hours
5 hours
8 hours
None of these
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
7860 litres
6840 litres
8640 litres
8840 litres
None of these
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 :
8
10
16
24
None of these
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 ?
Emptied; 16 min
Filled; 8 min
Emptied; 8 min
Filled; 12 min
None of these
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 ?
35 min
15 min
20 min
Cannot be emptied
None of these
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 ?
18$1 \over 2$ min
40 min
41$1 \over 3$ min
44 min
None of these
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?
38 min
45 min
42 min
48 min
None of these
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
6/11
7/11
8/11
5/11
None of these
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
6 h
7 h
5 h
8 h
None of these
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.
45 $m^3$/min
30 $m^3$/min
50 $m^3$/min
55 $m^3$/min
None of these
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?
39 min
47 min
45 min
25 min
None of these
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?
5
7
8
4
None of these
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
9600 L
5760 L
2880 L
5240 L
None of these
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
10$1 \over 2$ h
12 h
21 h
24 h
None of these
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?
40 min
36 min
45 min
38 min
None of these
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?
6250 litres
5760 litres
5200 litres
4546 litres
None of these
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?
3 PM
7 PM
4 PM
5 PM
None of these