**Dear Readers,**

**We have started the 56 days Study Plan for IBPS PO Prelims. This study plan is to efficiently utilise time and hard work to channelise it towards smart work. From now quizzes on Bankersadda will be according to the given study plan and this will help you prepare important topics in limited time.**

**Today is DAY 10 of the study plan and in Quantitative Aptitude today’s chapter is**

**Pipes and Cisterns**

**Q1. 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?**

(a) 3 (9/17) h

(b) 11 h

(c) 2 (8/11) h

(d) 1 (13/17) h

(e) 2 (3/17) h**Q2. 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?**

(a) 20 min

(b) 16 min

(c) 12 min

(d) 10 min

(e) 7 min

**Q3. 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?**

(a) 6 h

(b) 5 h

(c) 30 h

(d) 15 h

(e) 25 h

**Q4. 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:**

(a) 15 min, 20 min

(b) 15 min, 10 min

(c) 10 min, 15 min

(d) 25 min, 20 min

(e) None of these

**Q5. 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:**

(a) 7 ½ hours

(b) 10 hours

(c) 8 hours

(d) 9 (1/10) hours

(e) 6 hours

**Q6. 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?**

(a) 42 hours

(b) 40 hours

(c) 43 hours

(d) 45 hours

(e) 48 hours

**Q7. Three pipes A, B and C can fill a tank in 6 minutes, 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?**

(a) 4 min

(b) 6 min

(c) 5 min

(d) Data inadequate

(e) None of these

**Q8. 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?**

(a) 8 min and 34 sec

(b) 9 min and 32 sec

(c) 7 min

(d) 6 min

(e) None of these

**Q9. 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 pipes are opened, the empty cistern is full in 20 minutes. How long will the waste pipe take to empty a full cistern?**

(a) 12 minutes

(b) 10 minutes

(c) 8 minutes

(d) 16 minutes

(e) 20 minutes

**Q10. 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 100 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?**

(a) 1800 litres

(b) 1500 litres

(c) 1200 litres

(d) 2400 litres

(e) None of these

**Q11. 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:**

(a) 7 minutes

(b) 13 minutes

(c) 9 minutes

(d) 23 minutes

(e) 25 minutes

**Q12. 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?**

(a) After 10 minutes

(b) After 12 minutes

(c) After 14 minutes

(d) After 16 minutes

(e) None of these

**Q13. Two pipes A and B can fill a tank in 15 and 12 hours respectively. Pipe B alone is kept open for 3/4 of time and both pipes are kept open for remaining time. In how many hours, the tank will be full?**

(a) 18

(b) 10

(c) 12

(d) 13.5

(e) None of these

**Q14. 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. Now in what time will the tank be emptied?**

(a) 24 min

(b) 25 min

(c) 20 min

(d) 22 min

(e) None of these

**Q15. A cistern has three pipes, A, B and C. the pipes A and B can fill it in 5 and 6 hours respectively and C can empty it in 2 hours. If the pipes A, B and C are opened in order at 2, 3 and 4 p.m. respectively, when will the cistern be empty?**

(a) 8:15 p.m.

(b) 11.25 p.m.

(c) 7:15 p.m.

(d) Cannot be determined

(e) None of these

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