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 35 of 53

  • A. 1:1
  • B. 1:3
  • C. 1:2
  • D. 7:5

Explanation: Vessel A contains 4/7 milk and vessel B contains 2/5 milk. If x litres from A and y litres from B are mixed to obtain half milk, then…

Correct answer: 7:5
  • A. Rs.400
  • B. Rs.500
  • C. Rs.300
  • D. Rs.600
  • E. None of these

Explanation: The conditions give P = (Q + R)/2 and Q = (P + R)/3, or Q + R = 2P and P + R = 3Q.

Correct answer: Rs.500
  • A. Rs.3000
  • B. Rs.3600
  • C. Rs.2400
  • D. Rs.4000
  • E. None of these

Explanation: Let P and Q together have x rupees, so R has (2/3)x rupees. Thus x + (2/3)x = Rs.6000, giving (5/3)x = Rs.6000 and R = (2/3) x Rs.3600 =…

Correct answer: Rs.2400
  • A. Rs.849.40
  • B. Rs.877.40
  • C. Rs.901.60
  • D. Rs.815.20
  • E. None of these

Explanation: Six kilograms of flour cost 6 x Rs.20.50 = Rs.123.00, and this equals the cost of 2 kg of rice, so 1 kg of rice costs Rs.61.50.

Correct answer: Rs.877.40
  • A. 400
  • B. 500
  • C. 600
  • D. 20

Explanation: For each of 20 boys, any one of 25 girls can be selected, so the multiplication principle gives 20 x 25 = 500 boy-girl selections.

Correct answer: 500
  • A. 21
  • B. 12
  • C. 9
  • D. 108

Explanation: Each of the 9 trousers can be paired with any of the 12 shirts, so the multiplication principle gives 9 x 12 = 108 different selections.

Correct answer: 108
  • A. 6 1/8
  • B. 5 3/4
  • C. 6 3/4
  • D. 5 7/8

Explanation: Interpreting the expression as 6 x 5/8 ÷ 5/8 - 1/8, first 6 x 5/8 = 30/8. Dividing by 5/8 gives (30/8) x (8/5) = 6, and 6 - 1/8 = 5 7/8.

Correct answer: 5 7/8
  • A. 1
  • B. 2
  • C. 69/28
  • D. 66/17Computer Online Quiz

Explanation: The numerator is 22 x 495 + 891 x 44 = 10890 + 39204 = 50094. The denominator is 33 x 176 + 55 x 264 = 5808 + 14520 = 20328, so the…

Correct answer: 69/28
  • A. 1 17/38
  • B. 1 38/17
  • C. 2 38/17
  • D. None of these

Explanation: The numerator is 62.25/2.5 + 12.5/0.5 = 24.9 + 25 = 49.9. The denominator is 0.75 x 9 + 3.5 x 3.5 = 6.75 + 12.25 = 19, giving 49.9/19 =…

Correct answer: None of these
  • A. 9
  • B. 3
  • C. 0.3
  • D. 0.03

Explanation: The product of the fixed decimals is 0.003 x 0.0003 = 0.0000009. Therefore, ? = 0.00000027 / 0.0000009 = 0.3.

Correct answer: 0.3
  • A. 150 1/3
  • B. 150 2/3
  • C. 149 2/3
  • D. 149 1/3

Explanation: Convert the mixed numbers: 6 2/3 = 20/3, 9 3/5 = 48/5, and 2 1/3 = 7/3.

Correct answer: 150 2/3
  • A. 60
  • B. 120
  • C. 13
  • D. 61

Explanation: Use the order of operations: 180 / 3 = 60, then 5 x 12 / 60 = 1, so 60 + 1 = 61.

Correct answer: 61
  • A. 0.228
  • B. 0.456
  • C. 0.684
  • D. 1.0

Explanation: Apply the difference of squares: 0.456² - 0.228² = (0.456 - 0.228)(0.456 + 0.228).

Correct answer: 0.228
  • A. 1
  • B. 2
  • C. 3
  • D. 5

Explanation: Interpret 1 1/3 as 4/3 and 3 ?/4 as 3 + ?/4. Then 8/15 ÷ 4/3 = 2/5, so (2/5)(3 + ?/4) = 1.5 = 3/2; hence 3 + ?/4 = 15/4 and ? = 3.

Correct answer: 3
  • A. 12
  • B. 14
  • C. 16
  • D. 18

Explanation: Calculate 79.98 / 12.51 x 2.49. The quotient is approximately 6.3917, and 6.3917 x 2.49 is approximately 15.91, which rounds to 16, option…

Correct answer: 16
  • A. 3180
  • B. 3200
  • C. 3120
  • D. 3210

Explanation: Since 3584 = 256 x 14, √3584 = 16√14, which is approximately 59.87. Then 59.87 x 52.034 is approximately 3115, whose nearest listed value…

Correct answer: 3120
  • A. 1580
  • B. 1680
  • C. 1780
  • D. 1880

Explanation: Evaluate the quotient first: 58978 / 363.94 is approximately 162.05. Multiplying by 11.02 gives approximately 162.05 x 11.02 = 1785.8, so…

Correct answer: 1780
  • A. 383
  • B. 372
  • C. 380
  • D. 374

Explanation: Compute the product using 2.9928 = 3 - 0.0072: 2.9928 x 66.84 = 200.52 - 0.481248 = 200.038752.

Correct answer: 383
  • A. 1.4
  • B. 1.6
  • C. 1.5
  • D. 1.2

Explanation: The numerator is (180/37) x 14.8 = 72 because 14.8/37 = 0.4. The denominator is (17/60.1) x 180.30 = 17 x 3 = 51, so the ratio is 72/51 =…

Correct answer: 1.4
  • A. 1109300
  • B. 1109400
  • C. 1108400
  • D. 1108300

Explanation: Multiply 108 x 107 = 11556, then 11556 x 96 = 1,109,376. Rounding to the nearest hundred gives 1,109,400 because the tens digit is 7, so…

Correct answer: 1109400