PIPE AND CISTERN

PIPE AND CISTERN

1.         If  of a tank holds 80 liters of water, then the quality of water that  tank holds is

(1) 240 liters                  (2) 120 liters                 (3)    liters                 (4) 100 liters                 (5) None of these

2.          part of a tank is full of water. When 30 liters of water is taken out, the tank becomes  empty. The capacity of the tank is

(1) 36 liters                   (2) 42 liters                  (3) 40 liters                   (4) 38 liters                  (5) None of these

3.         Two pipes A and B can fill a tank in 20 min and 30 min respectively. If both pipes are opened together, then the time taken to fill the tank is

(1) 50 min                      (2) 12 min                  (3) 25 min                      (4) 15 min                     (5) None of these

4.         A tap can empty a tank in one hour. A second tap can empty it in 30 min. If both the taps operate simultaneously. How much time is needed to empty the fully filled tank ?

(1) 20 min                      (2) 30 min                   (3) 40 min                     (4) 45 min                      (5) None of these

5.         A cistern can be filed with water by a pipe in 5hrs and it can be emptied by a second pipe in 4 hrs. If both the pipes are opened when the cistern is full, then the time in which is will be emptied is

(1)  9 hrs                        (2) 18 hrs                      (3) 20hrs                        (4) 20 hrs                    (5) None of these

6.         A pump can fill a tank with water in 2 hrs. Because of a leak in the tank, it was taking 2 hrs to fill the tank. The leak can drain all the water off the tank in

(1)  8 hrs                       (2) 7 hrs                          (3) 4 hrs                       (4) 14 hrs                     (5) None of these

7.         A pipe can fill a tank with water in 3 hrs. Due to leakage in bottom, it takes 3 hrs to fill it. In what time the leak will empty the fully filled tank?

(1) 12 hrs                      (2) 21 hrs                         (3) 6 hrs                        (4) 10 hrs                  (5) None of these

8.         Two pipes A and B can separately fill a cistern in 60 min and 75 min 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 min. In how much time the third pipe alone can empty the cistern?

(1) 110 min                  (2) 100 min                    (3) 120 min                 (4) 90 min                   (5) None of these

9.         A cistern has two pipes. One can fill it with water in 8 hrs and other can empty it in 5 hrs. In how many hours will the cistern be emptied if both the pipes are opened together when  of the cistern is already full of water?

(1) 13 hrs                    (2) 10 hrs                         (3) 6 hrs                      (4) 3 hrs                   (5) None of these

10.      Three pipes P, Q and R can separately fill a cistern in 4, 8 and 12 hrs respectively. Another pipe S can empty the completely filled cistern in 10 hrs. Which of the following arrangements will fill the empty cistern in less time than others?

(1) Q alone is open                                            (2) P and S are open                                 (3) P, R and S are open       

(4) P, Q and S open                                            (5) None of these

11.      A cistern is normally filled in 8 hrs; but takes two hours more to fill because of a leak in its bottom. If the cistern is full, the leak will make it empty in

(1)  16 hrs                     (2) 20 hrs                  (3) 32 hrs                    (4) 40 hrs                     (5) None of these

12.      Two pipes together can fill a cistern in 6 min. If one pipe takes 5 min longer than the other to fill the cistern, then find the time in which the faster pipe would fill the cistern?

(1) 5 min                     (2) 6 min                     (3) 9 min                     (4) 10min                     (5) None of these

13.      Pipe A can fill a tank in 15 min and pipe B can drain 40 litre per min. If both the pipes are opened together, then the cistern is full in 45 min. Find the capacity of the cistern

(1) 600 liters               (2) 750 liters             (3) 900 liters                (4) 1800 liters              (5) None of these

14.      A boy and girl together fill a cistern with water. The boy pours 4 liters of water every 3 min and the girl pours 3 liters every 4 min. How much time will it take to fill 100 liters of water in the cistern ?

(1) 36 min                  (2) 42 min                   (3) 48 min                   (4) 44 min                     (5) None of these

15.      Two pipes A and B can fill a cistern in 6 and 8 min respectively. If they be turned on alternately for one min each beginning with A, then how long will it take to fill the cistern ?

(1) 7 min                     (2) 6 min                      (3) 6 min                    (4) 3 min                     (5) None of these

16.      An empty tank can be filled by a pipe A in 4 hrs and by pipe B in 6 hrs. If the two pipes are opened for 1 hr each alternately with first opening pipe A, then the tank will be filled in

(1) 1 hrs                     (2) 2 hrs                    (3) 4 hrs                      (4) 5 hrs                     (5) None of these

17.      One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 min, the slower pipe alone will be able to fill the tank in

(1) 81 min                   (2) 108 min               (3) 144 min                  (4) 192 min                 (5) None of these

18.      A tap can fill a tank in 6 hrs. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely ?

(1) 4 hrs                      (2) 4 hrs 15 min           (3) 3 hrs 15 min       (4) 3 hrs 45 min          (5) None of these

19.      Two pipes A and B can fill a cistern in 37 min and 45 min respectively. Both pipes are opened. The cistern will be filled just in half an hour, if the pipe B is turned off after

(1) 15 min                  (2) 10 min                     (3) 5 min                   (4) 9 min                          (5) None of these

20.      A tank can be filled by two pipes in 20 min and 30 min respectively. When the tank was empty, the two pipes were opened. After some time, the first pipe was stopped and the tank was filled in 18 min. After how much time of the start was the first pipe stopped ?

(1) 5 min                    (2) 8 min                      (3) 10 min                   (4) 12 min                     (5) None of these

21.      A tank can be filled with water by two pipes A and B together in 36 min. If the pipe B was stopped after 30 min, the tank is filled in 40 min. The pipe B can alone fill the tank in

(1) 45 min                 (2) 60 min                    (3) 75 min                   (4) 90 min                   (5) None of these

22.      Two pipes, P and Q can fill a cistern in 12 and 15 min respectively. Both are opened together, but at the end of 3 min, P is turned off. In how many more minutes will Q fill the remaining part of cistern ?

(1) 7                           (2) 7                            (3) 8                             (4) 8                            (5) None of these

23.      Pipe A can fill a cistern in 6 hrs and pipe B can fill it in 8 hrs. Both the pipes are opened simultaneously, but after two hrs. Pipe A is closed. How many hours will B take to fill the remaining part of the cistern ?

(1) 2                          (2) 3                             (3)                               (4) 4                            (5) None of these

24.      A water tank has sufficient water for 60 days. If 50 ltrs of water is wasted everyday, then the water last for 50 days. How many days will the supply last if 350 ltrs of water is wasted everyday ?

(1) 8 days                (2) 10 days                   (3) 15 days                    (4) 25 days                  (5) None of these

25.      If two pipes function simultaneously, the reservoir will be filled in 12 hours. One pipe fills the reservoir 10 hours faster than the other. How many hours does it take the second pipe to fill the reservoir ?

(1) 30 hours            (2) 40 hours                (3) 60 hours                  (4) 20 hours                 (5) None of these

26.      A cistern has two taps which fill it in 12 minutes and 15 minutes respectively. There is also a waste pipe in the cistern. When all the three are opened, the empty cistern is full in 20 minutes. How long will the waste pipe take to empty the full cistern ?

(1) 30 min               (2) 20 min                    (3) 10 min                     (4) 15 min                   (5) None of these

27.      Two pipes can fill a cistern in 14 hours and 16 hours respectively. The pipes are opened simultaneously and it is found that due to leakage in the bottom it took 32 min more to fill the cistern. When the cistern is full, in what time will the leak empty it ?

(1) 100 hours               (2) 110 hours                    (3) 120 hours                        (4) 140 hours            (5) None of these

28.      Two pipes A and B can fill a tank in 36 min. and 45 min. respectively. A water pipe C can empty in 30 min. First A and B are opened. After 7 minutes, C is also opened. In how much time, the tank is full ?

(1) 46 min                      (2) 49 min                         (3) 45min                              (4) 50 min                    (5) None of these

29.      Two pipes A and B can fill a tank in 24 min. and 32 min. respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 18 minutes ?

(1) 10 min                      (2) 15 min                           (3) 8 min                             (4) 11 min                    (5) None of these

30.      A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?

(1) 6 min. to empty            (2) 6 min. to fill            (3) 9 min. to empty           (4) 9 min. to fill               (5) None of these

31.      Two tapes A and B can fill a tank in 5 hours and 20 hours respectively. If both the taps are open then due to the  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 ?

(1)  4 hrs                            (2) 9 hrs                         (3) 18 hrs                            (4) 20 hrs                 (5) None of these

32.      Bucket P has thrice the capacity as bucket Q. It takes 60 turns for bucket P to fill the empty drum. How many turns it will for both the buckets P and Q, having each turn together to fill the empty drum ?

(1) 30                                   (2) 40                               (3) 45                                 (4) 90                           (5) None of these

33.      A booster pump can be used for filing 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 filing capacity and the pump needs 8 min. lesser to empty the tank than It needs to fill it. What is the filing capacity of the pump ?

(1) 50 m³ / min.                 (2) 60 m³ / min.            (3) 72m³ / min.                (4) 8060 m³ / min.              (5) None of these

34.      A tank can be filled by pipe A in 2 hrs and pipe B in 6 hrs. At 10 am. Pipe A was opened. At what time will the tank be filled if pipe B is opened at 11 am?

(1) 12.45 am                      (2) 5 pm                         (3) 11.45 am                   (4) 12 pm                   (5) None of these

35.      If two pipes function simultaneously, a tank is filled in 12 hrs. One pipe fills the tank 10 hrs faster than the other. How many hours does the faster pipe alone take to fill the tank ?

(1) 20 hrs                           (2) 18 hrs                        (3) 15 hrs                       (4) 12 hrs                   (5) None of these

36.      A water tank can be filled by a tap in 30 min and another tap can fill it in 60 min. If both the taps are kept open for 5 min and then the first tap is closed, how long will it take for the tank to be full ?

(1) 20 min                         (2) 25 min                        (3) 30 min                       (4) 45 min                   (5) None of these

37.      There are two pumps to fill a tank with water. First pump can fill the empty tank in 8 hrs, while the second in 10 hrs. If both the pumps  are opened at the same time and kept open for 4 hrs, the part of tank that will be filled up is

(1)                                  (2)                             (3)                          (4)                            (5) None of these

38.      Three pipes A, B and C can fill a tank in 6 hours, 9 hours and 12 hours respectively. B and C are opened for half an hour, then A is also opened. The time taken by the three together to fill the remaining part of the tank is

(1) 3 hrs                            (2) 2 hrs                           (3) 2 hrs                 (4) 3 hrs                  (5) None of these

39.      Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively, the tank will be full in:

(1) 6 hrs                           (2) 6 hrs                           (3) 7 hrs                          (4) 7 hrs                         (5) None of these

40.      A tap can fill a tank in 6 hours. After half the tank filled, three more similar taps are opened. What is the total time  taken to fill the tank completely ?

(1) 4 hrs                           (2) 4 hrs 15 min               (3) 3 hrs 15 min               (4) 3hrs 45 min             (5) None of these

41.      Two pipes A and B can fill a cistern in 37 min and 45 min respectively. Both pipes are opened. The cistern will be filled just in half an hour, if the pipe B is turned off after:

(1) 15 min                         (2) 10 min                          (3) 5 min                          (4) 9 min                        (5) None of these

42.      A tank can be filled by two pipes in 20 min and 30 min respectively. When the tank was empty, the two pipes were opened. After sometime, the first pipe was stopped and the tank was filled in 18 min. After how much time of the start was the first pipe stopped ?

(1) 5 min                           (2) 8 min                            (3) 10 min                      (4) 12 min                       (5) None of these  

43.      A tap takes 36 hours extra to fill a tank due to leakage equivalent to half of its inflow. The inflow can fill the tank in how many hours ?

(1) 36 hrs                         (2) 24 hrs                          (3) 30 hrs                           (4) 18 hrs                      (5) None of these

44.      A tank has a leak which would empty the completely filled tank in 10 hrs.if the tank is full of water and a tap is opened which admits 4 litres of water per min in the tank, the leak takes 15 hours to empty the tank. How many litres of water does the tank hold ?

(1) 2400 l                         (2) 4500 l                         (3) 1200 l                             (4) 7200 l                     (5) None of these     

45.      Two pipes, P and Q can fill a cistern in 12 and 15 min respectively. Both are opened together, but at the end of 3 min, P is turned off. In how many more min will Q fill the cistern ?

(1) 7 min                        (2)  7 min                    (3) 8 min                         (4) 8min                   (5) None of these  

46.      Pipe A can fill a cistern in 6 hours and pipe B can fill it in 8 hrs. Both the pipes are opened simultaneously, but after two hours, Pipe A is closed. How many hrs B take to fill the remaining part of the cistern ?

(1) 2 hrs                         (2) 3 hrs                       (3) 2hrs                         (4) 4 hrs                     (5) None of these

47.      A pipe can empty a tank in 40 min. A second pipe with diameter twice as much as that of the first is also attached with the tank to empty it. The two together can empty the tank in :

(1) 8 min                       (2) 13min                      (3) 30 min                      (4) 38 min                 (5) None of these  

48.      A swimming pool has 3 drain pipes. The first two pipes A and B operating simultaneously, can empty the pool in half the time that C, the 3^rd pipe, alone takes to empty it. Pipe A, working alone, takes half the time taken by pipe B. Together they take 6 hours 40 min to empty the pool. Time taken by pipe A to empty the pool (in hours) is

(1) 15                            (2) 10                                (3) 30                              (4) 7                          (5) None of these  

49.      A tap drips at a rate of one drop/ sec 600 drops make 100 ml. The numbers of litres wasted in 300 days

(1) 4320000                (2) 432000                       (3) 43200                       (4‌) 4320                    (5) None of these  

50.      Having the same capacity 9 taps fill up a water tank in 20 min. How many taps of the same capacity are required to fill up the same water tank in 15 min?

                (1) 10                           (2) 12                               (3) 15                               (4) 18                         (5) None of these