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 8 of 53

  • A. 22. 5 %
  • B. 27.5 %
  • C. 32. 5 %
  • D. 37.5 %

Explanation: There are 600 males, and 20% of them are literate, giving 600 × 20/100 = 120 literate males.

Correct answer: 32. 5 %
  • A. 1000 kg
  • B. 1100 kg
  • C. 1125 kg
  • D. 1225 kg

Explanation: Dry matter remains unchanged during drying. The 250 kg dry grapes contain 90% dry matter, so dry matter = 250 kg × 90/100 = 225 kg; fresh…

Correct answer: 1125 kg
  • A. 32 kg
  • B. 40 kg
  • C. 52 kg
  • D. 80 kg

Explanation: The 100 kg fresh fruit contains 100 kg × 32% = 32 kg of dry matter because its water content is 68%.

Correct answer: 40 kg
  • A. 3/5
  • B. 5/16
  • C. 2/9
  • D. None of these

Explanation: Increasing the numerator by 140% multiplies it by 2.4, while increasing the denominator by 150% multiplies it by 2.5.

Correct answer: None of these
  • A. 8. 35 %
  • B. 7.15 %
  • C. 8.15 %
  • D. 6. 25%

Explanation: If the original side lengths are L and W, the measured lengths become 1.05L and 1.03W.

Correct answer: 8.15 %
  • A. 25 %
  • B. 30 %
  • C. 50 %
  • D. 20 %Teaching & Classroom Resources

Explanation: Let the original price and consumption be P rupees per unit and Q units, so expenditure is PQ rupees.

Correct answer: 20 %Teaching & Classroom Resources
  • A. 40 %
  • B. 32 %
  • C. 22 %
  • D. 8 %Islamic Studies Quiz

Explanation: If 18% play neither game, then 82% play at least one game. Using the union formula, football plus cricket minus both equals the union, so…

Correct answer: 8 %Islamic Studies Quiz
  • A. 26
  • B. 28
  • C. 30
  • D. 32

Explanation: Students failing at least one subject are 50 + 30 − 12 = 68, because the 12 who failed both were counted twice and must be subtracted…

Correct answer: 32
  • A. 18 3/4 %
  • B. 20 %
  • C. 16 3/4 %
  • D. 19 %

Explanation: A day has 24 hours, while 4 hours 30 minutes equals 4.5 hours. Therefore, the percentage is 4.5 hours ÷ 24 hours × 100% = 18.75%, or 18…

Correct answer: 18 3/4 %
  • A. does not change
  • B. decreased by 1 %
  • C. increased by 1 %
  • D. None of these

Explanation: Take the original number as 100 units. After a 10% increase it becomes 110 units, and reducing this by 10% gives 110 × 0.90 = 99 units…

Correct answer: decreased by 1 %
  • 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. The new area is 1.10L × 0.90B = 0.99LB, so it is 1% less than the original area.

Correct answer: decreased by 1 %
  • A. 6 %
  • B. 7 %
  • C. 8 %
  • D. 9 %

Explanation: Initially, CB = 5 cm − 3 cm = 2 cm. Increasing AC by 6% gives 3 cm × 1.06 = 3.18 cm, so CB becomes 5 cm − 3.18 cm = 1.82 cm; the decrease…

Correct answer: 9 %
  • A. Rs. 15
  • B. Rs. 12
  • C. Rs. 10
  • D. Rs. 8

Explanation: Let the original price be Rs. p per kg. At this price, Rs. 120 buys 120/p kg; after a 20% reduction, the price is Rs.

Correct answer: Rs. 10
  • A. 200 gm
  • B. 150 gm
  • C. 50 gm
  • D. 10 gm

Explanation: Initially, gold weighs 80% of 50 g, so gold = 0.8 × 50 g = 40 g and silver = 10 g.

Correct answer: 150 gm
  • A. 50
  • B. 72
  • C. 75
  • D. 76

Explanation: Take the numbers of boys and girls as 3x and 2x, giving 5x students. Scholarship holders are 20% of 3x = 0.6x and 30% of 2x = 0.6x, so…

Correct answer: 76
  • A. Rs. 350
  • B. Rs. 390
  • C. Rs. 252
  • D. Rs. 316

Explanation: Ram saves the remaining 100% − 65% = 35% of his Rs. 720 income. His saving is 35/100 × Rs. 720 = Rs. 252. Students may choose Rs.

Correct answer: Rs. 252
  • A. 500
  • B. 1200
  • C. 1000
  • D. 1625

Explanation: If 65% passed, then 35% failed. Therefore, 35% of the total is 420 examinees, so the total is 420 ÷ 0.35 = 1,200 examinees.

Correct answer: 1200
  • A. 10 %
  • B. 15 %
  • C. 20 %
  • D. 25 %

Explanation: Taking the third number as q, the first number is 70% of q and the second is 63% of q.

Correct answer: 10 %
  • A. 33 1/3 %
  • B. 11 1/9 %
  • C. 9 1/11 %
  • D. 66 2/3 %

Explanation: After a 25% reduction, the new price is 75% of the original price. To recover the missing 25% using the new price as the base, the…

Correct answer: 33 1/3 %
  • A. 83 1/3
  • B. 16 2/3
  • C. 90
  • D. 60Fun & Trivia

Explanation: If p = 6q, then q = p/6. The amount by which q is less than p is p − p/6 = 5p/6, and as a percentage of p this is (5p/6) ÷ p × 100 = 83…

Correct answer: 83 1/3