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Numerical Ability for SBI Clerk Prelims 2018
Today is the Day 17 of the SBI Clerk 60 Days Study Plan and the topic for Today's Numerical Ability or Quantitative Aptitude Practice Questions is Based on Pipes and Cisterns. Numerical Ability Section has given heebie-jeebies to the aspirants when they appear for a banking examination. As the level of every other section is only getting complex and convoluted, there is no doubt that this section, too, makes your blood run cold. The questions asked in this section are calculative and very time-consuming. But once dealt with proper strategy, speed, and accuracy, this section can get you the maximum marks in the examination. Following is the Numerical Ability quiz to help you practice with the best of latest pattern questions.
Q1. A cistern can be filled with water by pipe A in 5 hours and it can be emptied by a second pipe B in 4 hours. If both the pipes are opened when the cistern is full, the time in which it will be emptied is:
(a) 25
(b) 20
(c) 16
(d) 18
(e) 28
Q2. A booster pump can be used for filling as well as for emptying a tank. The capacity of the tank is 2400 m³. The emptying capacity of the tank is 10 m³ per minute higher than its filling capacity and the pump needs 8 minutes lesser to empty the tank than it needs to fill it. What is the filling capacity of the pump (in m^3 per minute)?
(a) 54
(b) 60
(c) 50
(d) 45
(e) 65
Q3. Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is (in gallons):
(a) 105
(b) 110
(c) 140
(d) 120
(e) 125
Q4. Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill the cistern. How many time will be taken by A to fill the cistern separately?
(a) 4 hours
(b) 2 hours
(c) 6 hours
(d) 8 hours
(e) 10 hours
Q5. Three pipes A, B and C can fill together a tank in 6 hours. After working 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 fill the tank is:
(a) 20 hours
(b) 22 hours
(c) 24 hours
(d) 16 hours
(e) 18 hours
Q7. One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:
(a) 81 min
(b) 108 min
(c) 144 min
(d) 192 min
(e) 156 min
Q8. A tank can be filled by one tap in 20 min. and by another in 25 min. both the taps are kept open for 5 min. and then the second tap is turned off. In how many minutes more is the tank completely filled?
(a) 6 minutes
(b) 11 minutes
(c) 12 minutes
(d) 17 minutes
(e) 24 minutes
Q9. A leak in the bottom of a tank can empty the filled tank in 6 hours. An inlet pipe fills water in the tank at the rate of 4 litre per minute. When the tank is full, then inlet pipe is opened and due to leakage tank is emptied in 10 hours. Then what is the capacity of the tank?
(a) 3600 litre
(b) 3500 litre
(c) 4800 litre
(d) 3200 litre
(e) 2400 litre
Q10. A cistern, when full, is emptied by a waste pipe in 30 minutes, but if a tap (filling source) is opened, it takes 40 minutes, to empty the cistern. How long the cistern will take to become full when only filling pipe is working?
(a) 140 minutes
(b) 120 minutes
(c) 160 minutes
(d) 180 minutes
(e) 150 minutes
Q12. Pipe A can fill a cistern in 6 hours and pipe B can fill it in 8 hours. Both the pipes are opened simultaneously, but after two hours, pipe A is closed. How many hours will B take to fill the remaining part of the cistern?
(a) 2 hours
(b) 10/3 hours
(c) 8/3 hours
(d) 4 hours
(e) 6 hours
Q13. In how many minutes can a tank be filled by three pipes whose diameters are 20 cm, 30 cm and 60 cm. Given that the largest pipe alone can fill it in 49 min.
(a) 36 minutes
(b) 40 minutes
(c) 24 minutes
(d) 19 minutes
(e) 28 minutes
Q14. A tank is filled in 5 hours when three pipes A, B and C are opened together. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
(a) 20 hours
(b) 25 hours
(c) 35 hours
(d) 28 hours
(e) 16 hours
Q15. Pipes A and B can fill a tank in 5 and 6 hours, respectively. Pipe C can fill it in 30 hours. If all the three pipes are opened together, then in how much time the tank will be filled up?
(a) 45/14 hours
(b) 19/2 hours
(c) 51/14 hours
(d) 29/14 hours
(e) 2 hours
(a) 25
(b) 20
(c) 16
(d) 18
(e) 28
Q2. A booster pump can be used for filling as well as for emptying a tank. The capacity of the tank is 2400 m³. The emptying capacity of the tank is 10 m³ per minute higher than its filling capacity and the pump needs 8 minutes lesser to empty the tank than it needs to fill it. What is the filling capacity of the pump (in m^3 per minute)?
(a) 54
(b) 60
(c) 50
(d) 45
(e) 65
Q3. Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is (in gallons):
(a) 105
(b) 110
(c) 140
(d) 120
(e) 125
Q4. Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill the cistern. How many time will be taken by A to fill the cistern separately?
(a) 4 hours
(b) 2 hours
(c) 6 hours
(d) 8 hours
(e) 10 hours
Q5. Three pipes A, B and C can fill together a tank in 6 hours. After working 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 fill the tank is:
(a) 20 hours
(b) 22 hours
(c) 24 hours
(d) 16 hours
(e) 18 hours
Q7. One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:
(a) 81 min
(b) 108 min
(c) 144 min
(d) 192 min
(e) 156 min
Q8. A tank can be filled by one tap in 20 min. and by another in 25 min. both the taps are kept open for 5 min. and then the second tap is turned off. In how many minutes more is the tank completely filled?
(a) 6 minutes
(b) 11 minutes
(c) 12 minutes
(d) 17 minutes
(e) 24 minutes
Q9. A leak in the bottom of a tank can empty the filled tank in 6 hours. An inlet pipe fills water in the tank at the rate of 4 litre per minute. When the tank is full, then inlet pipe is opened and due to leakage tank is emptied in 10 hours. Then what is the capacity of the tank?
(a) 3600 litre
(b) 3500 litre
(c) 4800 litre
(d) 3200 litre
(e) 2400 litre
Q10. A cistern, when full, is emptied by a waste pipe in 30 minutes, but if a tap (filling source) is opened, it takes 40 minutes, to empty the cistern. How long the cistern will take to become full when only filling pipe is working?
(a) 140 minutes
(b) 120 minutes
(c) 160 minutes
(d) 180 minutes
(e) 150 minutes
Q12. Pipe A can fill a cistern in 6 hours and pipe B can fill it in 8 hours. Both the pipes are opened simultaneously, but after two hours, pipe A is closed. How many hours will B take to fill the remaining part of the cistern?
(a) 2 hours
(b) 10/3 hours
(c) 8/3 hours
(d) 4 hours
(e) 6 hours
Q13. In how many minutes can a tank be filled by three pipes whose diameters are 20 cm, 30 cm and 60 cm. Given that the largest pipe alone can fill it in 49 min.
(a) 36 minutes
(b) 40 minutes
(c) 24 minutes
(d) 19 minutes
(e) 28 minutes
Q14. A tank is filled in 5 hours when three pipes A, B and C are opened together. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
(a) 20 hours
(b) 25 hours
(c) 35 hours
(d) 28 hours
(e) 16 hours
Q15. Pipes A and B can fill a tank in 5 and 6 hours, respectively. Pipe C can fill it in 30 hours. If all the three pipes are opened together, then in how much time the tank will be filled up?
(a) 45/14 hours
(b) 19/2 hours
(c) 51/14 hours
(d) 29/14 hours
(e) 2 hours
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