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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 5 of 53

81. In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now?

  • A. Rs.5000
  • B. Rs.4600
  • C. Rs.5400
  • D. Rs.2300

Explanation: Let the original average expenditure be Rs.x, so the original total is Rs.100x.

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Correct answer: Rs.5400

82. A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17th innings?

  • A. 34
  • B. 35
  • C. 36
  • D. 37Computer Online Quiz

Explanation: Let the average after 16 innings be x runs, so the previous total score was 16x runs.

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Correct answer: 37Computer Online Quiz

83. The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child?

  • A. 1 year
  • B. 2 years
  • C. 3 years
  • D. 4 years

Explanation: Five years ago, the couple's combined age was 2 x 23 = 46 years. In five years their combined present age becomes 46 + 2 x 5 = 56 years…

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Correct answer: 4 years

84. The average age of M boys is 'b' years and of 'n' girls 'c' years. The average age of all together is_________?

  • A. (mb - nc)/ (m + n) years
  • B. (mb + nc)/ (m - n) years
  • C. (mb + nc)/ (m + n) years
  • D. (mb - nc)/ (m - n) years

Explanation: The total age of the M boys is Mb years, and the total age of the n girls is nc years.

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Correct answer: (mb + nc)/ (m + n) years

85. A team of eight entered for a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?

  • A. 625
  • B. 665
  • C. 632
  • D. 656

Explanation: If the best marksman had scored 92 points, the team's total would have been 8 x 84 = 672 points.

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Correct answer: 665

86. The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?

  • A. 36 years
  • B. 24 years
  • C. 30 years
  • D. 18 years

Explanation: The original total age of 8 men is 8x years. The average rises by 2 years while the number remains 8, so replacing the 20-year-old and…

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Correct answer: 30 years

87. The average of first five prime numbers greater than 20 is____________?

  • A. 31.00
  • B. 31.01
  • C. 32.00
  • D. 32.2

Explanation: The first five prime numbers greater than 20 are 23, 29, 31, 37 and 41.

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Correct answer: 32.2

88. The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?

  • A. 9
  • B. 8
  • C. 7
  • D. 6Educational Resources

Explanation: The total of all 9 observations is 9 x 9 = 81, the first 5 total 5 x 10 = 50, and the last 5 total 5 x 8 = 40.

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Correct answer: 9

89. The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 13. What is the last numbers?

  • A. 8
  • B. 6
  • C. 5
  • D. 2

Explanation: Let the four numbers be a, b, c and d. The first three sum to 3 x 16 = 48, the last three sum to 3 x 15 = 45, so d - a = -3; together with…

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Correct answer: 5

90. The average age of three boys is 15 years and their ages are in proportion 3:5:7. What is the age in years of the youngest boy?

  • A. 15
  • B. 9
  • C. 18
  • D. 21Quiz Mode Feature

Explanation: The three boys' total age is 3 x 15 = 45 years. Their ratio total is 3 + 5 + 7 = 15 parts, so each part represents 45/15 = 3 years; the…

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Correct answer: 9

91. The average of first 10 odd numbers is_____________?

  • A. 11
  • B. 10
  • C. 12
  • D. 17

Explanation: The first 10 odd numbers are 1 through 19. For an evenly spaced list, the average is the mean of the first and last values: (1 + 19)/2 =…

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Correct answer: 10

92. The average of first 10 natural numbers is____________?

  • A. 5
  • B. 5.5
  • C. 6.5
  • D. 6

Explanation: The first 10 natural numbers are 1 through 10, whose sum is 10 x 11/2 = 55. Dividing by 10 numbers gives an average of 55/10 = 5.5.

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Correct answer: 5.5

93. The average of first ten prime numbers which are odd is____________?

  • A. 12.9
  • B. 13.8
  • C. 15.8
  • D. 17

Explanation: The first 10 odd prime numbers are 3, 5, 7, 11, 13, 17, 19, 23, 29 and 31. Their sum is 158, so the average is 158/10 = 15.8.

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Correct answer: 15.8

94. The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is_____________?

  • A. 11.0
  • B. 11.3
  • C. 11.4
  • D. 11.5

Explanation: The total of all 11 numbers is 11 x 10.9 = 119.9. The first six total 6 x 10.5 = 63.0, while the last six total 6 x 11.4 = 68.4; adding…

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Correct answer: 11.5

95. The average of first 10 even numbers is___________?

  • A. 18
  • B. 22
  • C. 9
  • D. 11

Explanation: The first 10 even numbers are 2, 4, ..., 20. Since they form an arithmetic sequence, their average is (first number + last number) / 2 =…

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Correct answer: 11

96. 80% of 700 = __________?

  • A. 550
  • B. 560
  • C. 565
  • D. none

Explanation: Calculate 80% of 700 as 80/100 x 700 = 0.8 x 700 = 560. Thus, option b gives the required value.

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Correct answer: 560

97. P is 5 times as large as Q, the percent that Q is less than P is ____________?

  • A. 60%
  • B. 90%
  • C. 80%
  • D. None of TheseNTS Test Prep

Explanation: Let Q = x, so P = 5x. The amount by which Q is less than P is 5x - x = 4x, and as a percentage of P it is (4x/5x) x 100 = 80%.

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Correct answer: 80%

98. If Ahmed purchases a Watch for Rs 600 and pays 15% sales tax, the total amount spent on purchase is?

  • A. 660
  • B. 670
  • C. 680
  • D. 690
  • E. 700

Explanation: The sales tax is 15% of 600 Rs: 0.15 x 600 Rs = 90 Rs. Adding the tax gives 600 Rs + 90 Rs = 690 Rs.

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Correct answer: 690

99. Express 1.09 in term of Percentage.

  • A. 1.09%
  • B. 10.9%
  • C. 109%
  • D. None of these

Explanation: To convert a decimal to a percentage, multiply it by 100: 1.09 x 100% = 109%.

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Correct answer: 109%

100. If the simple interest on a certain sum of money after 3 1⁄8 years is 1⁄4 of the principal, what is the rate of interest per annum?

  • A. 6%
  • B. 4%
  • C. 8%
  • D. 12%Credit & Lending

Explanation: Using simple interest, SI = P x r x t, so SI/P = r x t. Since SI/P = 1/4 and t = 3 1/8 years = 25/8 years, r = (1/4) ÷ (25/8) = 2/25 =…

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Correct answer: 8%
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