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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 2 of 53

21. The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is__________________?

  • A. 20
  • B. 21
  • C. 22
  • D. 23

Explanation: Let the total number of workers be n. The total salary is Rs. 8000n, while the two groups give Rs. 12000 x 7 + Rs. 6000 x (n - 7) = Rs.

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Correct answer: 21

22. The arithmetic mean of the scores of a group of students in a test was 52. The brightest 20% of them secured a mean score of 80 and the dullest 25% a mean score of 31. The mean score of remaining 55% is___________?

  • A. 45
  • B. 50
  • C. 51.4 approx.
  • D. 54.6 approx.

Explanation: Use a weighted average: the top 20% contribute 0.20 x 80 = 16 points and the bottom 25% contribute 0.25 x 31 = 7.75 points to the overall…

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Correct answer: 51.4 approx.

23. The average age of a husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is___________?

  • A. 35 years
  • B. 30 years
  • C. 40 years
  • D. None of these

Explanation: Three years ago, the combined age of the three people was 3 x 27 = 81 years, so their present combined age is 81 + 3 x 3 = 90 years.

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Correct answer: 40 years

24. A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, there by increasing his average by 6 runs. His new average is_____________?

  • A. 48 runs
  • B. 52 runs
  • C. 55 runs
  • D. 60 runs

Explanation: Let the original average be x runs, so the total for 10 innings was 10x runs.

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Correct answer: 48 runs

25. The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average of the team?

  • A. 23 years
  • B. 24 years
  • C. 25 years
  • D. None of these

Explanation: Let the team's average age be x years, so the total age is 11x years. The captain and wicketkeeper together are 26 + 29 = 55 years, and…

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Correct answer: 23 years

26. The average monthly salary of 20 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary?

  • A. Rs. 2000
  • B. Rs. 2400
  • C. Rs. 3600
  • D. Rs. 4800

Explanation: The original total salary is 20 x Rs. 1500 = Rs. 30,000. With the manager included, the total becomes 21 x Rs. 1600 = Rs.

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Correct answer: Rs. 3600

27. The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is____________?

  • A. Rs. 3500
  • B. Rs. 4000
  • C. Rs. 4050
  • D. Rs. 5000Downloading Interactive Party Trivia Games

Explanation: The pair totals are P + Q = 2 x Rs. 5050 = Rs. 10,100, Q + R = Rs. 12,500, and P + R = 2 x Rs. 5200 = Rs. 10,400.

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Correct answer: Rs. 4000

28. The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. The age of the 15th student is____________?

  • A. 11 years
  • B. 14 years
  • C. 15 years
  • D. 15 2/7 years

Explanation: The total age of all 15 students is 15 x 15 = 225 years. The 5 students contribute 5 x 14 = 70 years and the other 9 contribute 9 x 16 =…

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Correct answer: 11 years

29. A pupil's marks were wrongly entered as 83 instead of 63. Due to the average marks for the class got increased by half. The number of pupils in the class is___________?

  • A. 10
  • B. 20
  • C. 40
  • D. 73

Explanation: The incorrect entry increased the student's marks by 83 - 63 = 20 marks.

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Correct answer: 40

30. The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is___________?

  • A. 35.2
  • B. 36.1
  • C. 36.5
  • D. 39.1

Explanation: The original total was 50 x 36 = 1800. Correcting an observation from 23 to 48 increases the total by 48 - 23 = 25, giving 1825, and the…

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Correct answer: 36.5

31. If the arithmetic mean of seventy five numbers is calculated, it is 35. If each number is increased by 5, then mean of new number is___________?

  • A. 30
  • B. 40
  • C. 70
  • D. 90

Explanation: Adding 5 to every observation increases the arithmetic mean by exactly 5, because the same constant is added to every value.

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Correct answer: 40

32. In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the rate in the remaining 40 overs to reach the target of 282 runs?

  • A. 6.25
  • B. 6.5
  • C. 6.75
  • D. 7

Explanation: The first 10 overs produced 10 x 3.2 = 32 runs. The remaining runs required are 282 - 32 = 250 runs, and over the remaining 40 overs the…

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Correct answer: 6.25

33. The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4?

  • A. 2
  • B. 4
  • C. 70
  • D. 76

Explanation: His first 10 innings totalled 10 x 32 = 320 runs. To average 36 runs after 11 innings, his total must be 11 x 36 = 396 runs, so the next…

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Correct answer: 76

34. The average of 35 students in a class is 16 years. The average age of 21 students is 14. What is the average age of remaining 14 students?

  • A. 15 years
  • B. 17 years
  • C. 18 years
  • D. 19 years

Explanation: The total age of 35 students is 35 x 16 = 560 years, while the 21 students contribute 21 x 14 = 294 years.

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Correct answer: 19 years

35. The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is__________?

  • A. 25
  • B. 27
  • C. 30
  • D. 35

Explanation: The total of five numbers is 5 x 27 = 135. After excluding one number, the remaining total is 4 x 25 = 100, so the excluded number is 135…

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Correct answer: 35

36. A library has an average of 510 visitors on Sunday and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is___________?

  • A. 250
  • B. 276
  • C. 280
  • D. 285Quiz Mode Feature

Explanation: In a 30-day month beginning on Sunday, there are five Sundays, so the total visitors are 5 x 510 + 25 x 240 = 2550 + 6000 = 8550 visitors.

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Correct answer: 285Quiz Mode Feature

37. A family consists of grandparents, parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family?

  • A. 28 4/7 years
  • B. 31 5/7 years
  • C. 32 1/7 years
  • D. None of these

Explanation: There are 2 grandparents, 2 parents and 3 grandchildren, making 7 family members.

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Correct answer: 31 5/7 years

38. The average of five consecutive odd numbers is 61. What is the difference between the highest and lowest numbers?

  • A. 2
  • B. 5
  • C. 8
  • D. Cannot be determined

Explanation: For consecutive odd numbers, the average is the middle number, so the five numbers are 57, 59, 61, 63 and 65.

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Correct answer: 8

39. The average of non-zero number and its square is 5 times the number. The number is__________?

  • A. 9
  • B. 17
  • C. 29
  • D. 295

Explanation: Let the non-zero number be n. Its average with its square is (n + n²) / 2, and this equals 5n.

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Correct answer: 9

40. The average of the two-digit numbers, which remain the same when the digits interchange their positions, is__________?

  • A. 33
  • B. 44
  • C. 55
  • D. 66

Explanation: Two-digit numbers unchanged by reversing their digits are 11, 22, 33, 44, 55, 66, 77, 88 and 99.

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Correct answer: 55
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