Pipes And Cistern - Aptitude MCQ Questions and Solutions with Explanations Page-4 section-1

31.
Two pipes A and B can fill a tank in 20 and 30 hours respectively. Both the pipes are opened to fill the tank but when the tank is one - third full, a leak develops in the tank through which one - third water supplied by both the pipes gose out. The total time taken to fill the tank is?

A. 12 hours

B. 14 hours

C. 16 hours

D. 18 hours

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32.
Two pipes can fill a tank in 40 and 48 minutes respectively and a waste pipe can empty 3 gallons per minutes. All the three pipes working together can fill the tank in 30 minutes, The capacity of the tank is-

A. 60 gallons

B. 120 gallons

C. 180 gallons

D. 240 gallons

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33.
An outlet pipe can empty a cistern in 3 hours. In what time will empty $$\frac{2}{3}$$ of the cistern?

A. 3 hours

B. 5 hours

C. 2 hours

D. 4 hours

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34.
A tank is 7 metre long and 4 meter wide wide. At what speed should water run through a pipe 5 cm broad and 4 cm deep so that in 6 hours and 18 minutes water level in the tank rises by 4.5 meter?

A. 10 km/hours

B. 12 km/hours

C. 8 km/hours

D. None of these

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35.
Two pipes can fill a tank in 12 hours and 16 hours respectively. A third pipe can empty the tank in 30 hours. If all three pipes are opened and functions simultaneously, how much time will the tank take to be full?( in hours )

A. $$10\frac{4}{9}$$

B. $$9\frac{1}{2}$$

C. $$8\frac{8}{9}$$

D. $$7\frac{2}{9}$$

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36.
A tap can completely fill a water tank in 8 hours. The water tank has a hole in it through which the water leaks out. The leakage will cause the full water tank to get empty in 12 hours. How much time will it take for the tap the the tank completely with the hole?

A. 16 hours

B. 18 hours

C. 24 hours

D. None of these

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37.
A tank can be filled by pipe A in 2 hours and pipe B in 6 hours. At 10 A.M. pipe A was opened. At what time will the tank be filled if pipe B is opened at 11 A.M. ?

A. 12.45 A.M.

B. 5 P.M.

C. 11.45 A.M.

D. 12 P.M.

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38.
A water tank can be filled by a tap in 30 minutes and another tap can fill it in 60 minutes. If both taps are kept open for 5 minutes and then the first tap is closed, how long will it take foe the tank to be filled ?

A. 20 minutes

B. 25 minutes

C. 30 minutes

D. 45 minutes

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39.
A pipe can fill a tank in x hours and another can empty it in y hours. In how many hours they together fill it in ( y > x) ?

A. (x - y) hours

B. (y - x) hours

C. $$\left( {\frac{{xy}}{{x - y}}} \right)\,{\text{hours}}$$

D. $$\left( {\frac{{xy}}{{y - x}}} \right){\text{hours}}$$

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40.
A water tap fills a tub in 'p' hours and a sink at the bottom empties it in 'q' hours. If p < q and both tap and sink are opened the tank is filled in 'r' hours, then the relation between p, q, r :

A. $$\frac{1}{r} = \frac{1}{p} + \frac{1}{q}$$

B. $$\frac{1}{r} = \frac{1}{p} - \frac{1}{q}$$

C. $$r{\text{ = }}p{\text{ }} + {\text{ }}q$$

D. $${\text{ }}r{\text{ }} = {\text{ }}p{\text{ }} - {\text{ }}q$$

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Pipes And Cistern - Aptitude MCQ Questions and Solutions with Explanations

31. Two pipes A and B can fill a tank in 20 and 30 hours respectively. Both the pipes are opened to fill the tank but when the tank is one - third full, a leak develops in the tank through which one - third water supplied by both the pipes gose out. The total time taken to fill the tank is?

Answer & Solution

32. Two pipes can fill a tank in 40 and 48 minutes respectively and a waste pipe can empty 3 gallons per minutes. All the three pipes working together can fill the tank in 30 minutes, The capacity of the tank is-

Answer & Solution

33. An outlet pipe can empty a cistern in 3 hours. In what time will empty $$\frac{2}{3}$$ of the cistern?

Answer & Solution

34. A tank is 7 metre long and 4 meter wide wide. At what speed should water run through a pipe 5 cm broad and 4 cm deep so that in 6 hours and 18 minutes water level in the tank rises by 4.5 meter?

Answer & Solution

35. Two pipes can fill a tank in 12 hours and 16 hours respectively. A third pipe can empty the tank in 30 hours. If all three pipes are opened and functions simultaneously, how much time will the tank take to be full?( in hours )

Answer & Solution

36. A tap can completely fill a water tank in 8 hours. The water tank has a hole in it through which the water leaks out. The leakage will cause the full water tank to get empty in 12 hours. How much time will it take for the tap the the tank completely with the hole?

Answer & Solution

37. A tank can be filled by pipe A in 2 hours and pipe B in 6 hours. At 10 A.M. pipe A was opened. At what time will the tank be filled if pipe B is opened at 11 A.M. ?

Answer & Solution

38. A water tank can be filled by a tap in 30 minutes and another tap can fill it in 60 minutes. If both taps are kept open for 5 minutes and then the first tap is closed, how long will it take foe the tank to be filled ?

Answer & Solution

39. A pipe can fill a tank in x hours and another can empty it in y hours. In how many hours they together fill it in ( y > x) ?

Answer & Solution

40. A water tap fills a tub in 'p' hours and a sink at the bottom empties it in 'q' hours. If p < q and both tap and sink are opened the tank is filled in 'r' hours, then the relation between p, q, r :

Answer & Solution

31.
Two pipes A and B can fill a tank in 20 and 30 hours respectively. Both the pipes are opened to fill the tank but when the tank is one - third full, a leak develops in the tank through which one - third water supplied by both the pipes gose out. The total time taken to fill the tank is?

32.
Two pipes can fill a tank in 40 and 48 minutes respectively and a waste pipe can empty 3 gallons per minutes. All the three pipes working together can fill the tank in 30 minutes, The capacity of the tank is-

33.
An outlet pipe can empty a cistern in 3 hours. In what time will empty $$\frac{2}{3}$$ of the cistern?

34.
A tank is 7 metre long and 4 meter wide wide. At what speed should water run through a pipe 5 cm broad and 4 cm deep so that in 6 hours and 18 minutes water level in the tank rises by 4.5 meter?

35.
Two pipes can fill a tank in 12 hours and 16 hours respectively. A third pipe can empty the tank in 30 hours. If all three pipes are opened and functions simultaneously, how much time will the tank take to be full?( in hours )

36.
A tap can completely fill a water tank in 8 hours. The water tank has a hole in it through which the water leaks out. The leakage will cause the full water tank to get empty in 12 hours. How much time will it take for the tap the the tank completely with the hole?

37.
A tank can be filled by pipe A in 2 hours and pipe B in 6 hours. At 10 A.M. pipe A was opened. At what time will the tank be filled if pipe B is opened at 11 A.M. ?

38.
A water tank can be filled by a tap in 30 minutes and another tap can fill it in 60 minutes. If both taps are kept open for 5 minutes and then the first tap is closed, how long will it take foe the tank to be filled ?

39.
A pipe can fill a tank in x hours and another can empty it in y hours. In how many hours they together fill it in ( y > x) ?

40.
A water tap fills a tub in 'p' hours and a sink at the bottom empties it in 'q' hours. If p < q and both tap and sink are opened the tank is filled in 'r' hours, then the relation between p, q, r :