Explore topic-wise MCQs in Arithmetic Ability.

This section includes 320 Mcqs, each offering curated multiple-choice questions to sharpen your Arithmetic Ability knowledge and support exam preparation. Choose a topic below to get started.

251.

Out of three pipes the first two can fill an empty tank in 9 and 18 hours, respectively while the third can drain the filled tank in 15 hours. If all the three pipes are opened when the tank is empty, after how many hours will the tank be full?

A. 11
B. 12
C. 10
D. 13
Answer» D. 13
252.

Pipe A can empty a filled tank in 28 hours while Pipe B can fill the same tank, when empty in 35 hrs. If alternatively Pipes A and B are turned on for an hour each time, starting when the tank is full, how long will it take to empty the tank?

A. 279 hrs
B. 271 hrs
C. 275 hrs
D. 280 hrs
Answer» C. 275 hrs
253.

One fill pipe A is 3 times faster than second fill pipe B and takes 32 minutes less than the fill pipe B. When will the cistern be full if both pipes are opened together?

A. 6 min
B. 8 min
C. 12 min
D. 10 min
Answer» D. 10 min
254.

One of the two inlet pipes works twice as efficiently as the other. The two, working alongside a drain pipe that can empty a cistern all by itself in 8 hours, can fill the empty cistern in 8 hours. How many hours will the less efficient inlet pipe take to fill the empty cistern by itself?

A. 12
B. 6
C. 10
D. 8
Answer» B. 6
255.

One pipe can fill a tank  three times as fast as another pipe. If together the two pipes can fill the tank in 36 min, then the slower alone will be able to fill the tank in:

A. 81 min
B. 108 min
C. 144 min
D. 192 min
Answer» D. 192 min
256.

One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 36 min, then the slower pipe alone will be able to fill the tank in ?

A. 85 min
B. 92 min
C. 187 min
D. 144 min
Answer» E.
257.

One of the two inlet pipes works twice as efficiently as the other. The two, working alongside a drain pipe that can empty a cistern all by itself in 12 hours, can fill the empty cistern in 12 hours. How many hours will the less efficient inlet pipe take to fill the empty cistern by itself?_x005F_x000D_

A. 9
B. 15
C. 12
D. 18
Answer» E.
258.

A water tank is two-fifth full.Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes.If both the pipes are open,how long will it take to empty or fill the tank completely?

A. 6 min.to empty
B. 6 min.to fill
C. 9 min.to empty
D. 9 min.to fill
Answer» B. 6 min.to fill
259.

In what time would a cistern be filled by three pipes which diameters are 2 cm, 3 cm and 4 cm running together, when the largest alone can fill it is 58 minutes? The amount of water flowing in each pipe is proportional to the square of its diameter.

A. 26 min
B. 32 min
C. 36 min
D. 42 min
Answer» C. 36 min
260.

A water tank is 2/5 th full. Inlet A can fill the tank in 12 minutes while an outlet pipe B can empty it in 6minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?

A. It fills in 4.8 min
B. It empties in 4.8 min
C. It fills in 5.6 min
D. It empties in 5.6 min
Answer» C. It fills in 5.6 min
261.

A water tank is filled in 5 hours by three pipes X, Y and Z the pipe Z is thrice as fast as Y and Y is twice as fast as X. How much time will pipe X alone take to fill the water tank?

A. 60 hrs
B. 45 hrs
C. 40 hrs
D. 35 hrs
Answer» C. 40 hrs
262.

An electric pump can fill a tank in 2 hours. Because of a leak in the tank, it was taking 21⁄2 hours to fill the tank. The leak can drain all the water off the tank in how many hours?

A. 9
B. 10
C. 10.5
D. 11.5
Answer» C. 10.5
263.

A water tank has two holes. The 1st hole alone makes the tank empty in 3 min and 2nd hole alone makes the tank empty in 5 min. If water leaks out at a constant rate, how long in minutes does it take if both the holes together empty the tank?

A. 44415
B. 44431
C. 44421
D. 44423
Answer» E.
264.

A tap can fill a tank in 6 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely ?

A. 4 hrs 15 min
B. 3 hrs 24 min
C. 4 hrs 51 min
D. 3 hrs 45 min
Answer» E.
265.

A water tank has holes. The 1st hole alone empties the tank in 9 min and 2nd hole alone empties the tank in 6 min. If water leaks out at a constant rate, how many min does it take if both the holes together empty the tank?

A. 3.6
B. 44319
C. 3.2
D. 3.4
Answer» B. 44319
266.

A water tank in a village is normally filled in 8 hours but takes 2 hours longer to fill because of a leak in its bottom. If the tank is full, in how many hrs will the leak empty it ?

A. 34 hrs
B. 36 hrs
C. 38 hrs
D. 40 hrs
Answer» E.
267.

A tap can fill a tank in 20 minutes. If a leakage is capable of emptying the tank in 60 minutes, the tank will be filled in

A. 1 hour
B. 45 minutes
C. 30 minutes
D. 50 minutes
Answer» D. 50 minutes
268.

A tap can fill a tank in 50 minutes. If the tank has a leakage which alone is capable of emptying the tank in 2.5 hours, the tank will now be filled in

A. 1 hour
B. 1 hour 15 minutes
C. 1 hour 25 minutes
D. 1 hour 30 minutes
Answer» C. 1 hour 25 minutes
269.

A tank is filled in eight hours by three pipes K, L and M. Pipe K is twice as fast as pipe L, and L is twice as fast as M. How much time will pipe L alone take to fill the tank ?

A. 32 hrs
B. 24 hrs
C. 28 hrs
D. 26 hrs
Answer» D. 26 hrs
270.

A Tank is normally filled in 9 hours but takes four hours longer to fill because of a leak in its bottom. If the tank is full, the leak will empty it in ?

A. 32.5 hrs
B. 29.25 hrs
C. 30.30 hrs
D. 31 hrs
Answer» C. 30.30 hrs
271.

A tank can be filled in 30 minutes. There is a leakage which can empty the tank in 90 minutes. Therefore, the tank will be filled in

A. 60 min
B. 45 min
C. 55 min
D. 50 min
Answer» C. 55 min
272.

A swimming pool is filled in 10 hours by three tankers A, B and C. The tanker C is twice as fast as B and B is twice as fast as A. How much time will tanker A alone take to fill the swimming pool?

A. 90 hours
B. 40 hours
C. 70 hours
D. 80 hours
Answer» D. 80 hours
273.

A sump is filled by three tankers with uniform flow. The first two tankers operating simultaneously fill the sump in the same time during which the sump is filled by the third tanker alone. The second tanker fills the sump 5 hours faster than the first tanker and 4 hours slower than the third tanker. The time required by the first tanker is:_x005F_x000D_

A. 16hours
B. 9hours
C. 10hours
D. 15hours
Answer» E.
274.

A pipe, working at full speed, can fill an empty cistern in 1 hour. However, during the first hour it worked at one-twelfth of its capacity, during the second hour at one-ninth of its capacity, during the third hour at one-sixth of its usual capacity and during the fifth hour it was only one -third as efficient as it was supposed to be. A second pipe also displayed similar performance, but if it worked at full speed would have filled the empty cistern in 2 hours. Together with a drain pipe that drained water out of the tank at a constant rate, the empty cistern could be filled in 5 hours, all the three pipes working concurrently. How many hours will it take the drain pipe to empty the filled cistern if no other pipe was functioning during the time?_x005F_x000D_

A. 16
B. 12
C. 10
D. 15
Answer» C. 10
275.

A pump can fill a tank in 4 hrs, but due to a leak, the tank now gets filled in 5 hrs. How long will it take the leakage to empty the tank when it is full?

A. 9 hrs
B. 4.5 hrs
C. 1hr
D. 20 hrs
Answer» B. 4.5 hrs
276.

A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half ?

A. 31 min
B. 29 min
C. 28 min
D. 30 min
Answer» E.
277.

A pipe can fill a sump with water in 2 hours. Because of a leak, it took 2 2/3 hrs to fill the sump. The leak can drain all the water of the sump in

A. 8 hrs
B. 15 hrs
C. 6 hrs
D. 11 hrs
Answer» B. 15 hrs
278.

A flask has two holes. The 1st hole alone makes the flask empty in 9 minutes and 2nd hole alone makes the flask empty in 16 minutes. If water leaks out at a constant rate, how long in minutes does it take if both the holes together empty the flask?

A. 19/25
B. 41925
C. 52025
D. 51925
Answer» E.
279.

A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in    ?

A. 20 hrs
B. 28 hrs
C. 36 hrs
D. 40 hrs
Answer» B. 28 hrs
280.

A pipe can fill a tank in 12 hours. By mistake another pipe that empties the tank is left open and the tank is filled in 16 hours. If the tank is fill, how much time will the second pipe take to empty it?_x005F_x000D_

A. 48 minutes
B. 48 days
C. 2.01 days
D. 48 hours
Answer» E.
281.

A cistern has one inlet, L and one inlet, M. L takes 5 hours to fill the empty tank, when M is not open and M takes 8 hours to empty the full tank, if the tank is two fifth full, how much time will it take to fill the tank completely when both L and M are opened simultaneously? (in hours)

A. 5 hours
B. 3 hours
C. 6 hours
D. 8 hours
Answer» E.
282.

A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold ?

A. 360 lit
B. 480 lit
C. 320 lit
D. 420 lit
Answer» C. 320 lit
283.

A and B can fill the tank in 60 min and 90 min. There is a leak at 3/4th of the height. If leak is opened alone, it takes 36 min to empty till 3/4th the height. Find the time taken to fill the tank if all of the taps and the leak are opened simultaneously.

A. 39
B. 27
C. 37
D. 33
Answer» B. 27
284.

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?

A. 50 m^3/min
B. 60 m^3/min
C. 72 m^3/min
D. None of these
Answer» B. 60 m^3/min
285.

3 pipes when opened for 3 hours can fill 3 buckets. How many buckets can 2 pipes open for 2 hours approximately fill?

A. 2/3 buckets
B. 2 buckets
C. 1 bucket
D. 4/3 bucket
Answer» E.
286.

18 buckets of water fill a tank when the capacity of each bucket is 8 litres. How many buckets will be needed to fill the same tank, if the capacity of the bucket is 12 litres?

A. 12
B. 13.5
C. 24
D. Data insufficient
Answer» B. 13.5
287.

12 buckets of water fill a tank when the capacity of each tank is 13.5 liters. How many buckets will be needed to fill the same tank,if the capacity of each bucket is 9 liters?

A. 8
B. 15
C. 16
D. 18
Answer» E.
288.

15 pipes, each having the same diameter, can fill a cistern in 12 minutes. How long will it take for 6 pipes, each with double the original diameter, to fill the same cistern at the same speed of the flow?

A. 12 min
B. 10 min
C. 9.5 min
D. 7.5 min
Answer» E.
289.

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
Answer» D. None of these
290.

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. 104/9
B. 91/2
C. 88/9
D. 72/9
Answer» D. 72/9
291.

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. 104/9
B. 91/2
C. 88/9
D. 72/9
Answer» D. 72/9
292.

*$_A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is:?

A. 6 hours
B. 10 hours
C. 15 hours
D. 30 hours
Answer» D. 30 hours
293.

*/*_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/hr
B. 12 km/hr
C. 8 km/hr
D. None of these
Answer» B. 12 km/hr
294.

*/*_12 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres??

A. 8
B. 15
C. 16
D. 18
Answer» E.
295.

*/*_A pipe can fill a tank in 3 hours. There are two outlet pipes from the tank which can empty it in 7 and 10 hours respectively. If all the three pipes are opened simultaneously, then the tank will be filled in -?

A. 8 hours
B. 9 hours
C. 10 hours
D. 11 hours
Answer» E.
296.

*/*_Three pipes A, B and C can fill a tank in 6 hours. After working at it 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. 10
B. 12
C. 14
D. 16
Answer» D. 16
297.

%_Two pipes A and B can fill a cistern in 37(1/2) minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after:_%

A. 5 min.
B. 9 min.
C. 10 min.
D. 15 min.
Answer» C. 10 min.
298.

_ An outlet pipe can empty a cistern in 3 hours. In what time will empty 2/3 of the cistern?$?

A. 3 hours
B. 5 hours
C. 2 hours
D. 4 hours
Answer» B. 5 hours
299.

_ A swimming pool is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the pool in the same time during which the pool is filled by the third pipe alone. The second pipe fills the pool 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is?$?

A. 6 hours
B. 10 hours
C. 15 hours
D. 30 hours
Answer» D. 30 hours
300.

_ A tank with capacity T liters is empty. If water flows into the tank from pipe X at the rate of x liters per minute and water is pumped out by Y at the rate of y liters per minute and x > y, then how many minutes will the tank be filled?$?

A. (x - y)60T
B. (T - x)
C. T/(x - y)
D. T/(y - x)
Answer» D. T/(y - x)