# Practice Test: Question Set - 01

1. Two tapes A and B can fill a bucket in 12 minutes and 15 minutes respectively. If both are opened and A is closed after 3 min, how much further time would it take for B to fill the bucket?
(A) 7 min 45 sec.
(B) 7 min 15 sec.
(C) 8 min 5 sec.
(D) 8 min 15 sec.

2. Two pipes A and B can fill a cistern in 12 minutes and 15 minutes respectively but a third pipe C can empty the full tank 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 emptied?
(A) 30 min
(B) 33 min
(C) 37½ min
(D) 45 min

3. One tap can fill a cistern in 2 hours and another tap can empty the cistern in 3 hours. How long will they take to fill the cistern if both the taps are opened?
(A) 5 hours
(B) 6 hours
(C) 7 hours
(D) 8 hours

4. A pipe can fill the cistern in 8 hours and another can empty the cistern in 13 hours. How long will they take to fill the cistern if both the tapes are opened?
(A) 12 hours
(B) 20.8 hours
(C) 24 hours
(D) 22 hours

5. Two pipes A and B can fill a tank in 10 hrs and 15 hrs respectively. If both the tapes are opened together, the tank will be full in
(A) 5 hours
(B) 6 hours
(C) 12½ hours
(D) 7½ hours

6. A cistern is normally filled in 8 hrs but takes 2 hrs longer to fill because of a leak in the bottom. If the cistern is full, the leak will empty it in ________ hrs.
(A) 24 hours
(B) 30 hours
(C) 34 hours
(D) 40 hours

7. Two tapes A and B can fill a tank in 6 hrs and 4 hrs respectively. If they are opened on alternate hrs and if pipe A is opened first, in how many hrs, the tank shall be filled?
(A) 4 hrs
(B) 5 hrs
(C) 4½ hrs
(D) 5½ hrs

8. 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 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

9. Three pipes A, B and C can fill a tank in 6 hrs. After working at it together for 2 hrs, C is closed and A & B can fill the remaining part in 7 hrs. The number of hours taken by C alone to fill the cistern is
(A) 10 hrs
(B) 12 hrs
(C) 14 hrs
(D) 16 hrs

10. A pipe can fill a tank in 16 min and another can empty it in 8 min. If the tank is already half full and both the tapes are opened together, the tank will be
(A) Filled in 12 min
(B) Emptied in 12 min
(C) Filled in 8 min
(D) Emptied in 8 min

11. A cistern can fill in 9 hrs but it takes 10 hrs due to a leak in its bottom. If the cistern is full, then the time that the leak will take to empty it is?
(A) 60 hrs
(B) 70 hrs
(C) 80 hrs
(D) 90 hrs

12. A cistern is normally filled in 8 hrs, but takes 2 hrs longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty the cistern in
(A) 40 hrs
(B) 35 hrs
(C) 45 hrs
(D) 60 hrs

13. 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 hours
(B) 6 2/3 hours
(C) 7 hours
(D) 7½ hours

14. Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:
(A) 113/17 hours
(B) 2 8/11 hours
(C) 3 9/17 hours
(D) 4 1/2 hours

15. A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 1/3 hours to fill the tank. The leak can drain all the water of the tank in:
(A) 4 1/3 hours
(B) 7 hours
(C) 8 hours
(D) 14 hours

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Pipes and Cisterns:
Formula:                Pipes and Cisterns Formulas
Solved Examples:  Solved Examples: Set 01
Practice Test:         Practice Test: 01