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# IBPS PO Prelims Quantitative Aptitude Quiz: 21st August 2019

### IBPS PO Quantitative Aptitude Quiz

With the increasing level in exams, quantitative aptitude has become the ineluctable hitch. Generally, questions asked in this section are calculative and lengthy that consumes your time. This subject can do wonders if you always keep a check on your accuracy, speed and time. Accuracy is what matters the most. To help you prepare the section we have provided a well-defined IBPS PO Prelims Study Plan. You can also Prepare from the study notes to clear your basic concepts. Attempt this quantitative aptitude quiz and check your performance for the upcoming IBPS PO Prelims Study Plan 2019. Following is the quiz of 21st August, that inculcate the important topic from Pipe and Cistern.

Q1.Two pipes can fill a cistern in 14 and 16 hours respectively. The pipes are opened simultaneously and it is found that due to leakage in the bottom of the cistern, it takes 32 minutes extra for the cistern to be filled up. When the cistern is full, in what time will the leak empty it ?
(a) 114 hr
(b) 112 hr
(c) 100 hr
(d) 80 hr
(e) 120 hr

Q2. A tank of 3600 cu m capacity is being filled with water. The delivery of the pump discharging the tank is 20% more than the delivery of the pump filling the same tank. As a result, twelve minutes more time is needed to fill the tank than to discharge it. Determine the rate of delivery of the pump filling the tank.
(a) 40 m³/min
(b) 50 m³/min
(c) 60 m³/min
(d) 80 m³/min
(e) 58 m³/min

Q3. Pipe A can fill an empty tank in 30 hours while B can fill it in 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) 34

Q4. 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) 1:00 pm

Q5. 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 much more time 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) 45 min.

Q6. 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 liters of water, what is the capacity of the tank? (Taps can be used inlet as well as outlet.)
(a) 120 liters
(b) 240 liters
(c) 180 liters
(d) 60 liters
(e) 90 liters

Q7. 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) 32.5 hours

Q8. 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 be determined

Q9. 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 opened 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) 10  hours

Q10. A tank of capacity 25 liters 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 are opened, the tank never gets filled up. Which of the following can be outlet flow rate in liters/min?
(a) 2
(b) 6
(c) 4
(d) 3
(e) 4.5

Q11. Three pipes A, B and C can fill a tank in 15 minutes, 20 minutes and 30 minutes respectively. All three pipes started to fill the tank at same time. The pipe C is closed 6 minutes before the tank is filled. In what time the tank will be full?
(a) 6 minutes
(b) 8 minutes
(c) 12 minutes
(d) 14 minutes
(e) 10 minutes

Q12. A cistern has two inlet taps (which fill it in 12 minutes and 15 minutes, respectively) and an exhaust tap. When all the three taps are opened together, it takes 20 minutes to fill an empty cistern. How long will the exhaust tap take to empty it?
(a) 20 minutes
(b) 16 minutes
(c) 12 minutes
(d) 10 minutes
(e) 14 minutes

Q14. Three filling pipes P, Q and R can fill an empty tank in 16 hr, 24 hr and 32 hr respectively. They start filling together the tank. After 4 hours pipe R gets closed and other two pipes continue to fill the tank. What is the total time in which the tank will be filled?
(a) 8.4 hr
(b) 7.2 hr
(c) 9.4 hr
(d) 6.4 hr
(e) 8 hr

Q15. There is a hole in a water tank which can empty it in 8 hours. A pipe is opened which fills 6 litre water per minute in tank and now tank is emptied in 12 hours. What is the capacity of the tank?
(a) 8260 litre
(b) 8660 litre
(c) 8640 litre
(d) 8620 litres
(e) 8460 litres

Solutions

S10. Ans.(b)
Sol. The net inflow when both pipes are opened is 5 litres a minute.
The outlet flow should be such that if its rate is doubled the net inflow rate should be negative or 0. Only an option greater than or equal to ‘5’ would satisfy this condition.
Option (b) is the only possible value.

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