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 31 of 53
- A. Rs. 14000
- B. Rs 16000
- C. Rs. 18000
- D. Rs. 12400Quiz Mode Feature
Explanation: The equations give 5% of A = 15% of B, so A = 3B, and 10% of B = 20% of C, so B = 2C. With C = Rs. 2,000, B = Rs. 4,000 and A = Rs.
Correct answer: Rs. 18000- A. Rs. 198
- B. Rs. 120
- C. Rs. 180
- D. Rs. 195
Explanation: Let A's share be Rs. x. B gets 25% more, so B = 1.25x, and since B is 20% more than C, C = 1.25x ÷ 1.20 = 25x/24.
Correct answer: Rs. 120- A. 11
- B. 24
- C. 45
- D. cannot be determined
Explanation: Let the number of children be n. Each child receives 20% of n = 0.2n sweets, so the total is n × 0.2n = 605; hence n² = 3,025 and n = 55…
Correct answer: 11- A. .56
- B. $ .80
- C. $ .72
- D. $.60Education
Explanation: A dozen contains 12 eggs, so the cost is 12 x $0.06 = $0.72. Option d, $0.60, results from multiplying by 10 instead of recognising that a…
Correct answer: $ .72- A. 72
- B. 84
- C. 136
- D. 140
- E. None of these
Explanation: The given fraction is (2/5) x (1/3) x (3/7) = 2/35, so (2/35)n = 15 and n = 15 x 35/2 = 262.5.
Correct answer: None of these- A. 5 : 3 : 1
- B. 5 : 3 : 2
- C. 10 : 7 : 4
- D. 10 : 8 : 5
- E. None of these
Explanation: Apply each increase to the original ratio: X = 8 x 1.25 = 10, Y = 5 x 1.20 = 6, and Z = 3 x 4/3 = 4.
Correct answer: 5 : 3 : 2- A. Rs. 420000
- B. Rs. 180000
- C. Rs. 201600
- D. Rs. 504000
- E. None of these
Explanation: C earns Rs. 15000 per month, so B earns 112% of this: 1.12 x Rs. 15000 = Rs. 16800 per month. Since A:B = 5:2, A earns (5/2) x Rs.
Correct answer: Rs. 504000- A. 168
- B. 84
- C. 42
- D. 21
- E. None of these
Explanation: The third number is 1125, so the second is 1125 / 9 = 125. Then 48% of 125 = 60, so (5/7) of the first number is 60 and the first number…
Correct answer: 21- A. 8 : 25
- B. 25 : 8
- C. 8 : 5
- D. 5 : 8
- E. None of these
Explanation: Let the first and second numbers be x and y. The condition gives y + 0.40x = 1.25y, so 0.40x = 0.25y and x:y = 0.25:0.40 = 5:8; option c…
Correct answer: 5 : 8- A. 40%
- B. 33 1/3%
- C. 60%
- D. 66 2/3%
- E. None of these
Explanation: The ratio 1/8 : 1/5 becomes 5 : 8 after multiplying both terms by 40. The second number exceeds the first by 3 parts, so the percentage…
Correct answer: 60%- A. 8:15:30
- B. 5:18:28
- C. 4:5:6
- D. 2:3:5
Explanation: Profit is divided according to capital multiplied by investment time. Thus the ratio is (2 × 4):(3 × 5):(5 × 6) = 8:15:30.
Correct answer: 8:15:30- A. 160
- B. 200
- C. 250
- D. 240
Explanation: Let the numbers of 50-paise, 1-rupee and 2-rupee coins be 2k, 5k and 8k. Their value is Rs. (0.50 × 2k) + (1 × 5k) + (2 × 8k) = Rs.
Correct answer: 240- A. 2
- B. 3
- C. 5
- D. 6
Explanation: Initially, X:Y:Z = 2:3:4 and X = 4, so one ratio unit is 2 and the initial values are Y = 6 and Z = 8.
Correct answer: 2- A. 9
- B. 15
- C. 25
- D. 50
Explanation: The mean proportion between 5 and 45 is their geometric mean, √(5 × 45) = √225 = 15.
Correct answer: 15- A. 2:3:5
- B. 8:12:15
- C. 2:8:5
- D. 2:7:5
Explanation: Make the common term Y equal in both ratios: X:Y = 2:3 becomes 8:12, and Y:Z = 4:5 becomes 12:15. Therefore, X:Y:Z = 8:12:15.
Correct answer: 8:12:15- A. 15
- B. 10
- C. 8
- D. 5
Explanation: Let a = 3k and b = 5k. After adding 2 to each number, (3k + 2):(5k + 2) = 2:3, so 3(3k + 2) = 2(5k + 2), giving 9k + 6 = 10k + 4 and k =…
Correct answer: 10- A. 1/3
- B. 7/9
- C. 5/12
- D. None of these
Explanation: Multiply the linked ratios: M:P = (M:N) × (N:O) × (O:P) = (3/4) × (5/7) × (7/9) = 15/36 = 5/12.
Correct answer: 5/12- A. 45 cm
- B. 40 cm
- C. 36 cm
- D. 27 cm
Explanation: The ratio has 4 + 3 + 2 = 9 parts, so each part is 81 cm ÷ 9 = 9 cm. The largest side is 4 parts, giving 4 × 9 cm = 36 cm.
Correct answer: 36 cm- A. 96
- B. 68
- C. 72
- D. 108
Explanation: Let the original numbers be 11k boys and 13k girls. After the additions, (11k + 4):(13k + 8) = 4:5, so 5(11k + 4) = 4(13k + 8), giving k =…
Correct answer: 108- A. 48
- B. 42
- C. 60
- D. 70
Explanation: The total ratio parts are 7 + 8 = 15, so one part represents 90 students ÷ 15 = 6 students. Boys = 7 × 6 students = 42 students.
Correct answer: 42