Quantitative Aptitude-Pipes & Cisterns
Quantitative Aptitude-Pipes & Cisterns
1. 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 ?
- 30
- 40
- 45
- 90
2. Two pipes A and B fill a tank in 15 hurs 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?
- 12 hrs
- 13 hrs
- 16 hrs
- 18 hrs
3. 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 ?
- 30 min.
- 33 min
- 37 1/2
- 45 min
4. 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 filll the cistern, is :
- 10
- 12
- 14
- 16
5. A leak in the bottom of tank can empty the full tank in 8 hours. An inlet pipe fills wter at the rate of 6 litres a minute. Whe 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 cistern hold ?
- 7580
- 7960
- 8290
- 8640
6. A leak in the bottom of tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 litres a minute. When the tank is full, the inlet is opened and due to the leak the tank is empty is 8 hours the capacity of the tank (in litres) is
- .5260
- 5760
- 5846
- 6970
7. A tap can fill a tank in 16 minutes and other can empty it in 8minutes if the tank i already half full and both the tanks are opened together the tank will be
- filed in 12 min .
- emptied in 12 min
- filled in 8 min
- emptied in 8 min.
8. A cistern has two taps which fill it in 12 min. and 15 min. 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 ?
- 8 min
- 10 min
- 12 min
- 16 min
9. 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 proportion of the solution R in the liquid in the tank after 3 minutes?
- 5/11
- 6/11
- 7/11
- 8/11
10. A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is:
- 6 hours
- 10 hours
- 15 hours
- 30 hours