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Free Arithmetic MCQs with Answers

1,060 Arithmetic MCQs from Mathematics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.

Arithmetic applies numerical operations to percentages, ratios, proportions, profit and loss, averages, and practical rate problems. Questions also involve time, speed and distance, and time and work, requiring careful use of units, direct and inverse relationships, weighted values, and work-rate methods rather than algebraic manipulation.

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1,060 questions · page 46 of 53

901. A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?

  • A. 4.5 hrs
  • B. 5 hrs
  • C. 6.5 hrs
  • D. 7.2 hrs

Explanation: The filling rate is 1/4 tank per hour and the emptying rate is 1/9 tank per hour, so the net rate is 1/4 - 1/9 = 5/36 tank per hour.

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Correct answer: 7.2 hrs

902. 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. 3 hrs 15 min
  • B. 3 hrs 45 min
  • C. 4 hrs
  • D. 4 hrs 15 min

Explanation: The first tap fills half the tank in 6/2 = 3 hours. Three more similar taps make four taps, whose combined rate is 4/6 = 2/3 tank per…

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Correct answer: 3 hrs 45 min

903. A large tanker can be filled by two pipes A and B in 60 minutes 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. 15 min
  • B. 20 min
  • C. 27.5 min
  • D. 30 min

Explanation: Let the total time be T minutes. B works for T/2 at 1/40 tank per minute, and both pipes work for T/2 at 1/60 + 1/40 = 1/24 tank per…

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Correct answer: 30 min

904. 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.Computer Online Quiz

Explanation: Let the slower pipe's rate be x tank per minute; the faster pipe works at 3x.

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Correct answer: 144 min.

905. 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. 16 hrs
  • B. 20 hrs
  • C. 25 hrs
  • D. 40 hrs

Explanation: Without the leak, the filling rate is 1/8 tank per hour, while with the leak the net rate is 1/10 tank per hour because filling takes 10…

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Correct answer: 40 hrs

906. One top can fill a cistern in 2 hours and another can empty the cistern in 3 hours. How long will they take to fill the cistern if both the taps are opened?

  • A. 5 Hours
  • B. 6 Hours
  • C. 7 Hours
  • D. 8 Hours

Explanation: The filling tap supplies 1/2 cistern per hour and the emptying tap removes 1/3 cistern per hour.

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Correct answer: 6 Hours

907. A top can fill a cistern in 8 hours and another can empty it in 16 hours. If both the taps are opened simultaneously the time (in hours) to fill the tank is

  • A. 8
  • B. 10
  • C. 16
  • D. 24

Explanation: The filling rate is 1/8 tank per hour and the leak's emptying rate is 1/16 tank per hour.

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Correct answer: 16

908. Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours. C is closed A and B can fill the remaining par in 7 hours. The number of hours taken by C alone to fill the tank is?

  • A. 10
  • B. 12
  • C. 14
  • D. 16

Explanation: Together, A, B and C fill 1/6 tank per hour, so in 2 hours they fill 1/3 and leave 2/3.

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Correct answer: 14

909. 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 pipe B is turned off after?

  • A. 5 min
  • B. 9 min
  • C. 10 min
  • D. 15 min

Explanation: Pipe A's rate is 1/37.5 = 2/75 cistern per minute, and B's rate is 1/45 cistern per minute.

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Correct answer: 9 min

910. 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?

  • A. 60 gallons
  • B. 100 gallons
  • C. 120 gallons
  • D. 180 gallons

Explanation: The two filling pipes together have rate 1/20 + 1/24 = 11/120 tank per minute, while all three together fill at 1/15 = 8/120 tank per…

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Correct answer: 120 gallons

911. 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. 15 min
  • B. 20 min
  • C. 27.5 min
  • D. 30 min

Explanation: Let the total time be T minutes. B operates for T/2 at 1/40 tank per minute, and both pipes operate for T/2 at 1/24 tank per minute, so…

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Correct answer: 30 min

912. Two pipes A and B can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank?

  • A. 10 min 20 sec
  • B. 11 min 45 sec
  • C. 12 min 30 sec
  • D. 14 min 40 sec

Explanation: Together, the pipes fill at 1/15 + 1/20 = 7/60 tank per minute, so in 4 minutes they fill 28/60 = 7/15.

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Correct answer: 14 min 40 sec

913. A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same 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 hrs
  • B. 10 hrs
  • C. 15 hrs
  • D. 30 hrs

Explanation: Let the first pipe take x hours, so the second takes x - 5 hours and the third takes x - 9 hours.

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Correct answer: 15 hrs

914. A tank is filled in 5 hours by three pipes A, B and C. 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 hrs
  • B. 25 hrs
  • C. 35 hrs
  • D. Cannot be determined

Explanation: Let pipe A's rate be x tank/hour. Then B works at 2x tank/hour and C at 4x tank/hour, so 7x = 1/5 tank/hour, giving x = 1/35 tank/hour and…

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Correct answer: 35 hrs

915. 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. 81 min
  • B. 108 min
  • C. 144 min
  • D. 192 min

Explanation: Let the slower pipe fill x tank/minute; the faster pipe fills 3x tank/minute.

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Correct answer: 144 min

916. A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 1/3 hours to fill the tank. The leak can drain all the water of the tank in?

  • A. 4 1/3 hrs
  • B. 7 hrs
  • C. 8 hrs
  • D. 14 hrs

Explanation: The pump's rate is 1/2 tank/hour, while the actual filling rate is 1/(2 1/3) = 1/(7/3) = 3/7 tank/hour.

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Correct answer: 14 hrs

917. Two pipes A and B can separately fill a cistern in 60 min and 75 min respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 min. In how much time, the third pipe alone can empty the cistern?

  • A. 90 min
  • B. 100 min
  • C. 110 min
  • D. 120 min

Explanation: The two filling pipes together work at 1/60 + 1/75 = 3/100 tank/minute.

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Correct answer: 100 min

918. Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes?

  • A. 5/11
  • B. 6/11
  • C. 7/11
  • D. 8/11

Explanation: In 1 minute, pipes A, B and C supply 1/30, 1/20 and 1/10 tank respectively, so the total supply is 11/60 tank per minute.

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Correct answer: 6/11

919. Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in?

  • A. 1 13/17 hours
  • B. 2 8/11 hours
  • C. 3 9/17 hours
  • D. 4 1/2 hours

Explanation: The combined rate is 1/5 + 1/6 - 1/12 = 17/60 tank/hour, where the emptying pipe is subtracted.

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Correct answer: 3 9/17 hours

920. Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?

  • A. 2
  • B. 2.5
  • C. 3
  • D. 3.5

Explanation: The combined filling rate is 1/5 + 1/10 + 1/30 = 10/30 = 1/3 tank/hour. Therefore, the tank is filled in 1 ÷ 1/3 = 3 hours.

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Correct answer: 3
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