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 18 of 53

  • A. 2500
  • B. 3500
  • C. 3600
  • D. 4500

Explanation: Find each percentage: 26.98% of 6002 = 0.2698 x 6002 = 1619.34, and 45.01% of 4199 = 0.4501 x 4199 = 1889.97.

Correct answer: 3500
  • A. 167
  • B. 154
  • C. 162
  • D. 181

Explanation: Convert 332% to 3.32: 3.32 x 2113 = 7015.16. Dividing by 42 gives 7015.16 / 42 = 167.03, approximately 167, option a.

Correct answer: 167
  • A. 140
  • B. 120
  • C. 160
  • D. 180

Explanation: Twenty percent of 40 is (20/100) x 40 = 8, leaving 120 - 8 = 112 for the second term.

Correct answer: 140
  • A. 20
  • B. 40
  • C. 60
  • D. 80

Explanation: Calculate 32% of 425: 0.32 × 425 = 136. Hence 136 - (x/100 × 250) = 36, so x/100 × 250 = 100 and x = 40%.

Correct answer: 40
  • A. 312.73
  • B. 373.12
  • C. 337.12
  • D. 339.12

Explanation: Convert 43% to 0.43 and multiply: 0.43 × 784 = 337.12. Therefore option c is correct.

Correct answer: 337.12
  • A. 4
  • B. 0.1
  • C. 1
  • D. 0.4Downloading Interactive Party Trivia Games

Explanation: Forty percent of 160 is 0.40 x 160 = 64, while 17% of 400 is 0.17 x 400 = 68. Therefore ?% of 400 = 68 - 64 = 4, so ?

Correct answer: 1
  • A. 7
  • B. 10
  • C. 15
  • D. 49

Explanation: Using 33.33% as the intended approximation to 1/3, (27 + 3) ÷ 5 = 6 and 1/3 of 6 = 2.

Correct answer: 7
  • A. 25
  • B. 125
  • C. 241/5
  • D. 253/5

Explanation: Inside the percentage term, 26/13 + 24/12 + 21 = 2 + 2 + 21 = 25, and 60% of 25 = 15.

Correct answer: 25
  • A. 90
  • B. 270
  • C. 810
  • D. 240

Explanation: The intended values are 16.66% = 1/6, 33.33% = 1/3, and 66.66% = 2/3. Their product is 1/6 x 1/3 x 2/3 = 1/27, so ? ÷ 27 = 30 and ?

Correct answer: 810
  • A. 1037.50
  • B. 1157.50
  • C. 103.75
  • D. 1038

Explanation: Interpret 10 1/4 as the mixed number 10.25: 10.25 x 100 = 1025, while 10% of 10 = 1.

Correct answer: 1037.50
  • A. x = 20, y = 20
  • B. x = 20, y = 40
  • C. x = 20, y = 80
  • D. Cannot be determined

Explanation: x% of 80 is 80x/100 = 0.8x, while 20% of y is 20y/100 = 0.2y. Thus 0.8x = 0.2y, giving y = 4x, so many pairs are possible and the exact…

Correct answer: Cannot be determined
  • A. Neither increased nor decreased
  • B. Increased by 1%
  • C. Decreased by 1%
  • D. Decreased by 10%

Explanation: Let the original area be L × B. After the changes, the new area is 110% of L × 90% of B, so it is 1.10 × 0.90 = 0.99 times the original…

Correct answer: Decreased by 1%
  • A. 1.01%
  • B. 5.01%
  • C. 3.01%
  • D. 2.01%

Explanation: If the original radius is r, the new radius is 1.01r. Since area is proportional to the square of the radius, the new area is (1.01)²A =…

Correct answer: 2.01%
  • A. 52.65
  • B. 56.25
  • C. 50.75
  • D. 42.75

Explanation: Let the original side be s, so the new side is 1.25s. The new area is (1.25s)² = 1.5625s², which is 56.25% greater than s².

Correct answer: 56.25
  • A. 27.5%
  • B. 37.5%
  • C. 47.5%
  • D. 57.5%

Explanation: If the original area is A, the new length and breadth make the area 1.10A x 1.25 = 1.375A. The increase is 0.375A, or 37.5%.

Correct answer: 37.5%
  • A. Remains same
  • B. 5% decrease
  • C. 5% increase
  • D. 10% increase

Explanation: The new area factor is 1.25 x 0.80 = 1.00, so the area remains unchanged.

Correct answer: Remains same
  • A. 25% increase
  • B. 50% increase
  • C. 50% decrease
  • D. 75% decrease

Explanation: If the original area is L x B, the new area is (L/2) x (3B) = 3LB/2, or 1.5 times the original.

Correct answer: 50% increase
  • A. Increased by 4%
  • B. decreased by 4%
  • C. Decreased by 1%
  • D. Remains unchanged

Explanation: Take the original length and breadth as L and B, so the original area is LB.

Correct answer: decreased by 4%
  • A. 20%
  • B. 24%
  • C. 36%
  • D. 44%

Explanation: If both dimensions are increased by 20%, each becomes 1.20 times its original value.

Correct answer: 44%
  • A. Kept unchanged
  • B. Increased by 25%
  • C. Increased by 20%
  • D. Reduced by 20%

Explanation: Let the original length and width be L and W, so the area is LW. After the length becomes 1.25L, the width must be LW ÷ 1.25L = 0.80W…

Correct answer: Reduced by 20%