Dear Students,
Today we have been including the Pipe and Cistern questions. You should try to do it within 18-19 Minutes. If you fail to complete it in stipulated time, then try again with full force. These quantitative aptitude questions are very important from exam point of view like IBPS RRB Exam, IBPS PO and IBPS Clerk.
Q1. A water tank normally takes 7 hours to be filled by a tap but because of the leak, it takes another 2 hours. In how many hours will the leak empty a full water tank?
(a) 20.5 hours
(b) 24.4 hours
(c) 30 hours
(d) 31.5 hours
(e) None of these
Q2. A cistern can be filled separately by two pipes P and Q in 45 minutes and 35 minutes respectively. A tap R at the bottom can empty the full cistern in 30 minutes. If the tap R is opened 7 minutes after the two pipes P and Q are opened then after what time from the opening of tap R the cistern becomes full?
(a) 40th minute
(b) 61st minute
(c) 37th minute
(d) None of these
(e) Can’t determine
Q3. Tap A fills a tank in 20 minutes while C empties it at 1/3rd the rate at which A fills it. At 12 : 00 noon, A and C are simultaneously started and when the tank is 50% full, tap A is turned off. At what time will the tank be empty?
(a) 12 : 35 pm
(b) 12 : 45 pm
(c) 12 : 30 pm
(d) 12 : 55 pm
(e) None of these
Q4. Two pipes X and Y can fill a tank in 6 hours and 9 hours respectively. If they are turned on alternately for one hour each starting with X, then what is the time taken to fill the tank?
(a) 6.25 hours
(b) 5.66 hours
(c) 7 hours
(d) 8 hours
(e) None of these
Q5. Four plumbers had to repair 364 taps. At the end of 3 days working 7 hours per day they had repaired 168 taps. In order to speed up the work, 3 more plumbers were added who also worked 7 hours daily. If the efficiency of each of the plumbers is same, how many additional days would it take to complete the task?
(a) 2 days
(b) 3 days
(c) 4 days
(d) 3/2day
(e) None of these
Q6. Pipe A and B can fill a cistern in 10 hours and 15 hours respectively. When a third pipe C which works as an outlet pipe is also open then the cistern can be filled in 18 hours. The outlet pipe can empty a full cistern in:
(a) 12 hours
(b) 8 hours
(c) 9 hours
(d) 14 hours
(e) None of these
Q7. Two pipes A and B can fill up a half full tank in 1.2 hours. The tank was initially empty. Pipe B was kept open for half the time required by pipe A to fill the tank by itself. Then, pipe A was kept open for as much time as was required by pipe B to fill up 1/3 of the tank by itself. It was then found that the tank was 5/6 full. The least time in which any of the pipes can fill the tank fully is
(a) 4.8 hours
(b) 4 hours
(c) 3.6 hours
(d) 6 hours
(e) None of these
Q8. A tank of capacity 25 litres has an inlet and an outlet tap. If both are opened simultaneously, the tank is filled in 5 minutes. But if the outlet flow rate is doubled and both taps opened the tank never gets filled up. Which of the following can be outlet flow rate in litres/min?
(a) 2
(b) 6
(c) 4
(d) 3
(e) None of these
Q9. Tap A can fill a tank in 20 hours, B in 25 hours but tap C can empty a full tank in 30 hours. Starting with A, followed by B and C each tap opens alternatively for one hour period till the tank gets filled up completely. In how many hour the tank will be filled up completely?
Q10. Two pipes A and B can fill a cistern in 15 hours and 10 hours respectively. A tap C can empty the full cistern in 30 hours. All the three taps were open for 2 hours, when it was remembered that the emptying tap had been left open. It was then closed. How many hours more would it take for the cistern to be filled? (relative to the case where the emptying tap was closed before opening the filling pipes A and B)
(a) 30 min.
(b) 1.2 hours
(c) 24 min.
(d) 35 min.
(e) None of these
Q11. A water tank has three taps A, B and C. A fills four buckets in 24 minutes, B fills 8 buckets in 1 hour and C fills 2 buckets in 20 minutes. If all the taps are opened together a full tank is emptied in 2 hours. If a bucket can hold 5 litres of water, what is the capacity of the tank?
(a) 120 liters
(b) 240 liters
(c) 180 liters
(d) 60 liters
(e) None of these
Q12. Pipe A basically used as inlet pipe and pipe B is used as outlet pipe. Pipes A and B both are opened simultaneously, all the time. When pipe A fills the tank and B empty the tank, it will take double the time than when both the pipe fill the tank. When pipe B is used for filling the tank, its efficiency remains constant. What is the ratio of efficiency of pipe A and pipe B respectively?
(a) 3 : 1
(b) 5 : 2
(c) 1 : 3
(d) 3 : 2
(e) None of these
Q13. Pipe A can fill the tank in 4 hour, while pipe B can fill it in 6 hours working separately. Pipe C can empty whole the tank in 4 hours. He opened the pipe A and B simultaneously to fill the empty tank. He wanted to adjust his alarm so that he could open the pipe C when it was half-filled, but he mistakenly adjusted his alarm at a time when his tank would be 3/4th filled. What is the time difference between both the cases, to fill the tank fully:
(a) 48 min.
(b) 54 min.
(c) 30 min.
(d) None of these
(e) Can’t be determined
Q14. A cistern can be filled by two taps A and B coming from the same main pipeline in 20 and 30 minutes respectively. Both the taps are opened at the same time but due to partial closing of a valve in the main pipeline, tap A was supplying only 4/5th of its capacity and tap B, 5/6th of its capacity. After some time, the valve in the main pipeline was opened fully thereby enabling the two taps to supply at full capacity. It took another 5 minutes to fill the cistern completely. How long (approx) was it before the valve on the main pipeline opened?
(a) 7 min
(b) 9 min
(c) 11 min
(d) 13 min
(e) 5 min
Q15. Pipe A can fill an empty tank in 30 hours while B can fill it 45 hours. Pipe A and B are opened and closed alternatively i.e., first pipe A is opened, then B, again A and then B and so on for 1 hour each time without any time lapse. In how many hours the tank will be filled when it was empty, initially?
(a) 36
(b) 54
(c) 48
(d) 60
(e) None of these
400 Important Quantitative Aptitude Ques...
