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 13 of 53

  • A. 16%
  • B. 16 1/3 %
  • C. 20%
  • D. 16 3/5 %

Explanation: Let x = 100 units; then y exceeds x by 25%, so y = 125 units. The decrease from y to x is 25 units, and as a percentage of y it is 25/125…

Correct answer: 20%
  • A. 11%
  • B. 10%
  • C. 11 1/9 %
  • D. 9 1/11 %Islamic Studies Quiz

Explanation: After a 10% price fall, the price becomes 90% of the original. To keep expenditure unchanged, consumption must become 100/90 = 111 1/9% of…

Correct answer: 11 1/9 %
  • A. 32256
  • B. 24000
  • C. 24936
  • D. 25640

Explanation: If 96% of the population is 23040 people, then the total population is 23040 / 0.96 = 24000 people.

Correct answer: 24000
  • A. 150
  • B. 140
  • C. 130
  • D. 110

Explanation: Let the number be N. The statement gives 60% of N minus 40 = 50, so 0.60N = 90 and N = 90 / 0.60 = 150.

Correct answer: 150
  • A. 150
  • B. 140
  • C. 130
  • D. 160

Explanation: Let the number be n. Since 85% of n plus 24 equals n, 0.85n + 24 = n, so 0.15n = 24 and n = 24 ÷ 0.15 = 160.

Correct answer: 160
  • A. 300
  • B. 200
  • C. 400
  • D. 500

Explanation: Let the number be n. The equation is 0.60n + 120 = n, so 0.40n = 120 and n = 120 ÷ 0.40 = 300.

Correct answer: 300
  • A. 0.03375
  • B. 0.3375
  • C. 3.375
  • D. 33.75

Explanation: Convert each percentage to a decimal and multiply: 25% × 30% × 45% = 0.25 × 0.30 × 0.45 = 0.03375.

Correct answer: 0.03375
  • A. 600
  • B. 700
  • C. 800
  • D. 900

Explanation: First, 20% of 650 = 0.20 × 650 = 130. Therefore, 40% of the number is 130 + 190 = 320, so the number is 320 ÷ 0.40 = 800.

Correct answer: 800
  • A. 4
  • B. 6
  • C. 9
  • D. 12

Explanation: 80% of 40 = 0.80 × 40 = 32, while 4/5 of 25 = 20. Their difference is 32 − 20 = 12.

Correct answer: 12
  • A. 18
  • B. 13
  • C. 15
  • D. 20

Explanation: 60% of 50 = 0.60 × 50 = 30, and 40% of 30 = 0.40 × 30 = 12. Thus, the first quantity is greater by 30 − 12 = 18.

Correct answer: 18
  • A. 1400
  • B. 1300
  • C. 1200
  • D. 1100

Explanation: After a 24% decrease, the price is 100% − 24% = 76% of the original price. If the reduced price is Rs. 912, the original price is Rs.

Correct answer: 1200
  • A. 16%
  • B. 16 1/3 %
  • C. 16 2/3 %
  • D. 16 3/5 %Standardized & Admissions Tests

Explanation: If y exceeds x by 20%, then y = 1.20x. The decrease from y to x is 0.20x, measured against y, so the percentage decrease is (0.20x ÷…

Correct answer: 16 2/3 %
  • A. 25%
  • B. 50%
  • C. 75%
  • D. 33%

Explanation: The required percentage is (90 ÷ 120) × 100% = 0.75 × 100% = 75%. The likely trap is option d, 33%, which comes from calculating 120 as a…

Correct answer: 75%
  • A. 5:4
  • B. 5:2
  • C. 2:5
  • D. 4:5

Explanation: The equality is (x/100) × 200 = (y/100) × 250, so 200x = 250y and y:x = 200:250 = 4:5. Therefore the ratio is 4:5.

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

Explanation: Take z as 100%; then x = 120% of z and y = 180% of z. Therefore x:y = 120:180 = 2:3.

Correct answer: 2:3
  • A. 3:2
  • B. 1:2
  • C. 1:5
  • D. 2:1

Explanation: If q is 100%, then p is 100% + 50% = 150% of q. Thus p:q = 150:100 = 3:2.

Correct answer: 3:2
  • A. 8 : 9
  • B. 17 : 18
  • C. 21 : 22
  • D. Cannot be determined

Explanation: Start with 7k boys and 8k girls. After the increases, the numbers are 7k x 1.20 = 8.4k and 8k x 1.10 = 8.8k; dividing both by 0.4k gives…

Correct answer: 21 : 22
  • A. Rs. 96
  • B. Rs. 95.75
  • C. Rs. 96.25
  • D. Rs. 104.25Credit & Lending

Explanation: A 4% discount on Rs. 100 gives a price of Rs. 96. Brokerage of 1/4% is Rs. 0.25, so total cost is Rs. 96 + Rs. 0.25 = Rs. 96.25.

Correct answer: Rs. 96.25
  • A. 5440
  • B. 5480
  • C. 6440
  • D. 6480

Explanation: A 15% discount means the cost is 85% of the nominal stock value. Cost = 85/100 x Rs. 6400 = Rs. 5440. The likely trap is option b, Rs.

Correct answer: 5440