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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 1 of 53

1. What is 15% of 240?

  • A. 30
  • B. 36
  • C. 42
  • D. 48

Explanation: 15% of 240 = (15 ÷ 100) × 240 = 36. A faster route in the exam hall: 10% of 240 is 24 and 5% is half of that, 12, so 15% is 24 + 12 = 36.

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Correct answer: 36

2. If Rs. 320 is divided between two people in the ratio 3 : 5, what is the smaller share?

  • A. Rs. 100
  • B. Rs. 120
  • C. Rs. 160
  • D. Rs. 200

Explanation: The ratio has 3 + 5 = 8 parts, so one part is 320 ÷ 8 = 40. The smaller share is 3 × 40 = Rs. 120 and the larger is 5 × 40 = Rs.

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Correct answer: Rs. 120

3. An item bought for Rs. 800 is sold for Rs. 920. What is the profit percentage?

  • A. 12%
  • B. 15%
  • C. 18%
  • D. 20%

Explanation: Profit = 920 − 800 = Rs. 120. Profit percentage is always calculated on cost price: (120 ÷ 800) × 100 = 15%.

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Correct answer: 15%

4. The average of five numbers is 18. What is their sum?

  • A. 72
  • B. 80
  • C. 90
  • D. 95

Explanation: Average = sum ÷ count, so sum = average × count = 18 × 5 = 90. Rearranging this single relation solves nearly every averages question in…

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Correct answer: 90

5. A car covers 240 kilometres in 3 hours. What is its average speed?

  • A. 60 km/h
  • B. 70 km/h
  • C. 80 km/h
  • D. 90 km/h

Explanation: Speed = distance ÷ time = 240 ÷ 3 = 80 km/h. Note that this is average speed; the car’s instantaneous speed may have varied throughout the…

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Correct answer: 80 km/h

6. A can complete a job in 10 days and B in 15 days. Working together, how many days will they take?

Moderate
  • A. 5 days
  • B. 6 days
  • C. 8 days
  • D. 12 days

Explanation: Work with rates, not days. A does 1/10 of the job per day and B does 1/15.

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Correct answer: 6 days

7. What is the Arithmetic Mean of the following data 3,6,9,12,15.

  • A. 7
  • B. 9
  • C. 12
  • D. 8

Explanation: The arithmetic mean is found by adding the values and dividing by their count: (3 + 6 + 9 + 12 + 15) / 5 = 45 / 5 = 9.

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Correct answer: 9

8. Calculate the Average of 1,2,3,4,5.

  • A. 1
  • B. 2
  • C. 3
  • D. 4

Explanation: The average equals the total divided by the number of observations. Here, (1 + 2 + 3 + 4 + 5) / 5 = 15 / 5 = 3.

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Correct answer: 3

9. In two successive years, 100 and 75 students of a school appeared at the final examination. Respectively 75 % and 60 % of them passed. The average rate of pass is:_________?

  • A. 68 4/7 %
  • B. 78 %
  • C. 80 %
  • D. 80 4/7 %

Explanation: The first year had 100 students × 75% = 75 passes, and the second had 75 students × 60% = 45 passes.

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Correct answer: 68 4/7 %

10. The temperature at noon in LHR ,Pakistan was 6 deg on Monday ,4deg on Tuesday,2deg below zero on Wednesday,3deg below zero on Thursday, 0 deg on Friday ,3 deg on Saturday ,and 6 deg on Sunday. What was the average temperature at noon for the week ?

  • A. 14 deg
  • B. -2 deg
  • C. 2 deg
  • D. 7 deg

Explanation: The weekly temperatures are 6, 4, -2, -3, 0, 3 and 6 degrees, whose sum is 14 degrees.

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Correct answer: 2 deg

11. A man travels from A to B at a speed of 30 kmph and returns with a speed of 60 kmph. What is the average speed of the man?

  • A. 47.5
  • B. 50
  • C. 45
  • D. 40

Explanation: For equal distances, average speed is total distance divided by total time, not the ordinary average of the speeds.

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Correct answer: 40

12. A man rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. What is his average speed for the entire trip approximately?

  • A. 11.2 kmph
  • B. 10 kmph
  • C. 10.2 kmph
  • D. 10.8 kmph

Explanation: Total distance is 10 km + 12 km = 22 km, while total time is 10/12 h + 12/10 h = 61/30 h.

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Correct answer: 10.8 kmph

13. If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is__________?

  • A. 53.33
  • B. 54.68
  • C. 55
  • D. None of these

Explanation: Use total marks divided by total students: (55 x 50 + 60 x 55 + 45 x 60) marks = 8750 marks, and total students = 55 + 60 + 45 = 160.

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Correct answer: 54.68

14. The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.

  • A. 47.55 kg
  • B. 48 kg
  • C. 48.55 kg
  • D. 49.25 kg

Explanation: The total weight of the 16 boys is 16 x 50.25 kg = 804 kg, and that of the 8 remaining boys is 8 x 45.15 kg = 361.2 kg.

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Correct answer: 48.55 kg

15. The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is___________?

  • A. 17 kg
  • B. 20 kg
  • C. 26 kg
  • D. 31 kg

Explanation: The combined weight of A, B and C is 3 x 45 kg = 135 kg, while A + B = 2 x 40 kg = 80 kg and B + C = 2 x 43 kg = 86 kg.

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Correct answer: 31 kg

16. The average of 18 observations was calculated and it was 124. Later on it was discovered that two observations 46 and 82 were incorrect. The correct values are 64 and 28. The correct average of 18 observations is___________?

  • A. 123
  • B. 137
  • C. 121
  • D. 122

Explanation: The originally recorded total is 18 x 124 = 2232. Replacing 46 and 82 by 64 and 28 changes the total by (64 + 28) - (46 + 82) = -36, so…

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Correct answer: 122

17. The mean marks of 30 students in a class is 58.5. Later on it was found that 75 was wrongly recorded as 57. Find the correct them.

  • A. 57.4
  • B. 57.5
  • C. 58.9
  • D. 59.1Everyday Science Quiz

Explanation: The recorded total is 30 students x 58.5 marks = 1755 marks. Correcting 57 marks to 75 marks adds 18 marks, so the new average is (1755 +…

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Correct answer: 59.1Everyday Science Quiz

18. The average of women and child workers in a factory was 15%yr. The average age of all the 16 children was 8yr and average age of women workers was 22 yrs if ten women workers were married then the number of unmarried women workers were________?

  • A. 16
  • B. 12
  • C. 8
  • D. 6

Explanation: Interpreting the damaged text as a combined average age of 15 years, let the number of women be w.

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Correct answer: 6

19. The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is___________?

  • A. 1:2
  • B. 2:3
  • C. 3:4
  • D. 3:5

Explanation: The overall average of 15.8 years is 0.4 years above the girls' average of 15.4 years, while the difference between boys and girls is 1…

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Correct answer: 2:3

20. In an examination a pupil's average marks were 63 per paper. If he had obtained 20 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination?

  • A. 8
  • B. 9
  • C. 10
  • D. 11

Explanation: The two corrections add 20 marks + 2 marks = 22 marks to the total. Since the average rises from 63 marks to 65 marks, the increase is 2…

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Correct answer: 11
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Arithmetic MCQs: common questions

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There are 1,060 Arithmetic MCQs in the Mathematics bank, shown 20 to a page with the correct answer and an explanation on each.

Does every Arithmetic MCQ have an explanation?

Yes. Each Arithmetic question shows the correct option and a written explanation of why it is correct, so a wrong answer teaches you something rather than just being marked wrong.

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