1. In 1 minute, 3/7 of a bucket is filled. The rest of the bucket can be filled in
A. 7/3 min
B. 7/4 min
C. 4/3 min
D. None of these
Correct Answer : C
2. The petrol tank of an automobile can hold g litres. If a litres was removed when the tank was full, what part of the full tank was removed?
A. g - a
B. g / a
C. a / g
D. (g - a) / a
Correct Answer : C
3. Water is continuously supplied from a reservoir to a locality at the steady rate of 10,000 litres per hour. When delivery exceeds demand the excess water is stored in a tank. If the demand for 8 consecutive three-hour periods is 10000, 10000, 45000, 25000
A. 10
B. 30
C. 40
D. 50
Correct Answer : C
4. Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, how long will it take to fill the tank?
A. 12 min
B. 15 min
C. 25 min
D. 50 min
Correct Answer : A
5. A pipe can fill a tank in x hours and another pipe can empty it in y (y > x) hours. If both the pipes are open, in how many hours will the tank be filled?
A. (x - y) hrs
B. (y - x) hrs
C. xy / (x - y) hrs
D. xy / (y - x) hrs
Correct Answer : D
6. A tap can completely fill a water tank in 8 hours. The water tank has a hole in it through which the water leaks out. The leakage will cause the full water tank to get empty in 12 hours. How much time will it take for the tap to fill the tank completely w
A. 16 hrs
B. 18 hrs
C. 24 hrs
D. None of these
Correct Answer : C
7. A tap can fill a tank in 48 minutes whereas another tap can empty it in 2 hours. If both the taps are opened at 11:40 A.M, then the tank will be filled at
A. 12:40 PM
B. 1:00 PM
C. 1:20 PM
D. 1:30 PM
Correct Answer : B
8. A tank with capacity T litres is empty. If water flows into the tank from pipe X at the rate of x litres per minute and water is pumped out by Y at the rate of y litres per minute and x > y, then in how many minutes will the tank be filled?
A. (x - y) 60 T
B. (T - x)y
C. T / (x - y)
D. T / (y - x)
Correct Answer : C
9. Pipes A and B can fill a tank in 20 hours and 30 hours respectively and pipe C can empty the full tank in 40 hours. If all the pipes are opened together, how much time will be needed to make the tank full?
A. 10(3/7) hrs
B. 12(4/5) hrs
C. 17(1/7) hrs
D. 19(1/4) hrs
Correct Answer : C
10. A pipe can fill a tank in 3 hours. There are two outlet pipes from the tank which can empty it in 7 and 10 hours respectively. If all the three pipes are opened simultaneously, then the tank will be filled in
A. 8 hrs
B. 9 hrs
C. 10 hrs
D. 11 hrs
Correct Answer : D
11. In what time would a cistern be filled by three pipes whose diameters are 1 cm,4/3 cm and 2 cm running together, when the largest alone will fill it in 61 minutes, the amount of water flowing in by each pipe, being proportional to the square of its diamet
A. 25 min
B. 30 min
C. 36 min
D. 40 min
Correct Answer : C
12. A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
A. 3 hr 15 min
B. 3 hr 45 min
C. 4 hr
D. 4 hr 15 min
Correct Answer : B
13. A cistern has two pipes. One can fill it with water in 8 hours and other can empty it in 5 hours. In how many hours will the cistern be emptied if both the pipes are opened together when 3/4 of the cistern is already full of water?
A. 4/3 hrs
B. 6 hrs
C. 10 hrs
D. 40/3 hrs
Correct Answer : C
14. A vessel has three pipes connected to it, two to supply liquid and one to draw liquid. The first alone can fill the vessel in 4.5 hours, the second in 3 hours and the third can empty it in 1.5 hours. If all the pipes are opened simultaneously when the ves
A. 4.5 hrs
B. 5.5 hrs
C. 6.5 hrs
D. None of these
Correct Answer : A
15. Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened then the cistern is full in 50 minutes. In how much
A. 90 min
B. 100 min
C. 110 min
D. 120 min
Correct Answer : B
16. Eight pipes are fitted to a water tank. Some of these are water pipes to fill the tank and the remaining are waste pipes used to empty the tank. Each water pipe can fill the tank in 12 hours and each waste pipe can empty it in 36 hours. On opening all the
A. 2
B. 3
C. 4
D. 5
Correct Answer : B
17. A pump can fill a tank with water in 2 hours. Because of a leak, it took 7/3 hours to fill the tank. The leak can drain all the water of the tank in
A. 13/3 hrs
B. 7 hrs
C. 8 hrs
D. 14 hrs
Correct Answer : D
18. Two taps A and B can fill a tank in 5 hours and 20 hours respectively. If both the taps are open then due to a leakage, it took 30 minutes more to fill the tank. If the tank is full, how long will it take for the leakage alone to empty the tank?
A. 4.5 hrs
B. 9 hrs
C. 18 hrs
D. 36 hrs
Correct Answer : D
19. Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportio
A. 5-Nov
B. 6-Nov
C. 7-Nov
D. 8-Nov
Correct Answer : B
20. Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill the cistern. How much time will be taken by A alone to fill the cistern?
A. 1 hr
B. 2 hrs
C. 6 hrs
D. 8 hrs
Correct Answer : C
21. One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in
A. 81 min
B. 108 min
C. 144 min
D. 192 min
Correct Answer : C
22. A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
A. 20 hrs
B. 25 hrs
C. 35 hrs
D. Cannot be determined
Correct Answer : C
23. A swimming pool is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the pool in the same time during which the pool is filled by the third pipe alone. The second pipe fills the pool 5 hours faster than the first p
A. 6 hrs
B. 10 hrs
C. 15 hrs
D. 30 hrs
Correct Answer : C
24. 12 buckets of water fill a tank when the capacity of each bucket is 13.5 litres.How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres?
A. 8
B. 15
C. 16
D. 18
Correct Answer : D
25. Bucket P has thrice the capacity as bucket Q. It takes 60 turns for bucket P to fill the empty drum. How many turns will it take for both the buckets P and Q, having each turn together to fill the empty drum?
A. 30
B. 40
C. 45
D. 90
Correct Answer : C
26. A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?
A. 15 min
B. 20 min
C. 27.5 min
D. 30 min
Correct Answer : D
27. Two pipes A and B can fill a tank in 15 hours and 20 hours respectively while a third pipe C can empty the full tank in 25 hours. All the three pipes are opened in the beginning. After 10 hours, C is closed. In how much time will the tank be full?
A. 12 hrs
B. 13 hrs
C. 16 hrs
D. 18 hrs
Correct Answer : A
28. Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?
A. 10 min 20 sec
B. 11 min 45 sec
C. 12 min 30 sec
D. 14 min 40 sec
Correct Answer : D
29. Two pipes A and B can fill a tank in 12 minutes and 15 minutes respectively. If both the pipes are opened simultaneously and pipe A is closed after 3 minutes, then how much more time will it take to fill the tank by pipe B?
A. 7 min 15 sec
B. 7 min 45 sec
C. 8 min 5 sec
D. 8 min 15 sec
Correct Answer : D
30. Two pipes A and B can fill a cistern in 12 minutes and 15 minutes respectively while a third pipe C can empty the full cistern in 6 minutes. A and B are kept open for 5 minutes in the beginning and then C is also opened. In what time is the cistern emptie
A. 30 min
B. 33 min
C. 37.5 min
D. 45 min
Correct Answer : D
31. Two pipes A and B can fill a tank in 20 and 30 hours respectively. Both the pipes are opened to fill the tank but when the tank is one-third full, a leak develops in the tank through which one-third water supplied by both the pipes goes out. The total tim
A. 12 hrs
B. 14 hrs
C. 16 hrs
D. 18 hrs
Correct Answer : C
32. Four pipes can fill a reservoir in 15, 20, 30 and 60 hours respectively. The first pipe was opened at 8 a.m, second at 9 a.m., third at 10 a.m. and fourth at 11 a.m. When will the reservoir be full?
A. 1:00 PM
B. 2:00 PM
C. 2:30 PM
D. 3:00 PM
Correct Answer : D
33. Two pipes can fill a tank with water in 15 and 12 hours respectively and a third pipe can empty it in 4 hours. If the pipes be opened in order at 8, 9 and 11 a.m. respectively, the tank will be emptied at
A. 11:40 AM
B. 12:40 PM
C. 1:40 PM
D. 2:40 PM
Correct Answer : D
34. Tap A fills a tank in 4 hours whereas tap B empties the full tank in 24 hours. A and B are opened alternately for 1 hour each. Every 2 hours the level of water is found to increase by 0.5 m. The depth of the tank is
A. 2.4 m
B. 4.8 m
C. 6.4 m
D. 24 m
Correct Answer : A
35. Two pipes A and B can fill a tank in 6 hours and 4 hours respectively. If they are opened on alternate hours and if pipe A is opened first, in how many hours, the tank shall be full?
A. 4
B. 4.5
C. 5
D. 5.5
Correct Answer : C
36. Pipe A can fill a tank in 10 hours. Pipe B can fill the same tank in 15 hours. Pipe C can empty the full tank in 20 hours. Pipes A, B and C are opened alternatively for one hour each. If A is opened first, then how many hocus will they take to fill the em
A. 24 hrs
B. 74/3 hrs
C. 25 hrs
D. 26 hrs
Correct Answer : B
37. Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full in
A. 6 hrs
B. 20/3 hrs
C. 7 hrs
D. 7.5 hrs
Correct Answer : C
38. A booster pump can be used for filling as well as for emptying a tank. The capacity of the tank is 2400 m³. The emptying capacity of the tank is 10 m³ per minute higher than its filling capacity and the pump needs 8 minutes lesser to empty the tank than i
A. 50 m³/min
B. 60 m³/min
C. 72 m³/min
D. None of these
Correct Answer : A
39. A leak in the bottom of a tank can empty the full tank in 8 hours. An inlet pipe fills water at the rate of 6 litres a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 12 hours. How many litres does the tank hol
A. 7580
B. 7960
C. 8290
D. 8640
Correct Answer : D
40. Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is :
A. 60 gallons
B. 100 gallons
C. 120 gallons
D. 180 gallons
Correct Answer : C
41. Two pipes A and B can fill a cistern in 37.5 minutes and 45 minutes respectively. Both the pipes are opened. The cistern will be filled in just half an hour, if the pipe B is turned off after
A. 5 min
B. 9 min
C. 10 min
D. 15 min
Correct Answer : B
42. A cistern can be filled by two pipes filling separately in 12 and 16 minutes separately. Both the pipes are opened together for a certain time but being clogged, only 7/8 of the full quantity of water flows through the former and only 5/6 through the latt
A. 2.5 min
B. 3.5 min
C. 4.5 min
D. 5.5 min
Correct Answer : C
43. Three pipes can fill a reservoir in 10,15 and 20 hours respectively. If the three taps are opened one after another in the given order, with a certain fixed time gap between them, the reservoir fills in 5 hours. The time gap is
A. 15 min
B. 30 min
C. 45 min
D. 1 hr
Correct Answer : B
44. Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is
A. 10
B. 12
C. 14
D. 16
Correct Answer : C
45. A bath can be filled by the cold water pipe in 10 minutes and by the hot water pipe in 15 minutes. A person leaves the bathroom after turning on both the pipes. He returns just when the bath should have been full. Finding however, the waste pipe was open,
A. 6 min
B. 8 min
C. 9 min
D. None of these
Correct Answer : C
46. A large fresh water reservoir is fitted with two types of feeder pipes-hot water pipesand cold water pipes. Six cold water pipes alone can fill the reservoir in 12 hours. 3 cold water pipes and 9 hot water pipes together can fill the reservoir in 8 hours.
A. 18 hrs 36 min
B. 20 hrs 45 min
C. 21 hrs 36 min
D. None of these
Correct Answer : C
47. A town is supplied with water from a big overhead tank which is fed with a constant volume of water regularly. When the tank is full, if 32000 gallons are used daily, the supply fails in 50 days. However, if 37000 gallons are used daily, the supply lasts
A. 12000 gallons
B. 15000 gallons
C. 18000 gallons
D. 20000 gallons
Correct Answer : A
48. Water flows through a cylindrical pipe of internal diameter 7 cm at the rate of 5 m/s. The time, in minutes, the pipe would take to fill an empty rectangular tank 4m x 3m x 2.31m is
A. 28
B. 24
C. 20
D. 12
Correct Answer : B
49. An outlet pipe can empty a cistern in 3 hours. In what time will it empty 2/3 rd of the cistern?
A. 3 hrs
B. 5 hrs
C. 2 hrs
D. 4 hrs
Correct Answer : A
50. Two pipes A and B can fill a tank in 24 hours and 30 hours respectively. If both the pipes are opened simultaneously in the empty tank, how much time will be taken by them to fill it?
A. 13 hours 20 min
B. 12 hours 10 min
C. 14 hours
D. 10 hours 5 min
Correct Answer : A
51. A tank is 7 metre long and 4 metre wide. At what speed should water run through a pipe 5 cm broad and 4 cm deep so that in 6 hours and 18 minutes water level in the tank rises by 4.5 metre?
A. 10 kmph
B. 12 kmph
C. 8 kmph
D. None of these
Correct Answer : A
52. Two pieces A and B can fill a tank in 18 hours and 6 hours respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank?
A. 4.5 hrs
B. 7 hrs
C. 6 hrs
D. 10 hrs
Correct Answer : A
53. Two pipes can fill a tank in 12 hours and 16 hours respectively. A third pipe can empty the tank in 30 hours. If all three pipes are opened and function simultaneously, how much time will the tank take to be full? (in hours)
A. 94/9
B. 19-Feb
C. 80/9
D. 65/9
Correct Answer : C
54. A tank has two outlets A and B, which together take 6 hours to empty a full tank when they are opened simultaneously. The tank was initially half -full and both the outlets were opened. After an hour, an inlet pipe 'X' was also opened. If the inlet alone
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