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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 10 of 53

181. The difference between a number and its two-fifth is 510. What is 10% of that number?

  • A. 12.75
  • B. 85
  • C. 204
  • D. None of these

Explanation: The difference is 1 - 2/5 = 3/5 of the number, so (3/5)n = 510 and n = 510 x 5/3 = 850.

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Correct answer: 85

182. 45% of 750 - 25% of 480 =__________?

  • A. 216
  • B. 217.50
  • C. 236.50
  • D. 245

Explanation: 45% of 750 is (45/100) x 750 = 337.50, and 25% of 480 is (25/100) x 480 = 120.00; their difference is 337.50 - 120.00 = 217.50, while…

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Correct answer: 217.50

183. 3.5 can be expressed in terms of percentage as?

  • A. 0.35%
  • B. 3.5%
  • C. 35%
  • D. 350%Education

Explanation: To convert a number to a percentage, multiply by 100: 3.5 x 100% = 350%.

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Correct answer: 350%Education

184. Two tests had the same maximum mark. The pass percentages in the first and the second test were 40% and 45% respectively. A candidate scored 216 marks in the second test and failed by 36 marks in that test. Find the pass mark in the first test?

  • A. 136
  • B. 128
  • C. 164
  • D. 214
  • E. None of these

Explanation: The second-test pass mark is 216 marks + 36 marks = 252 marks. Since 252 marks is 45% of the maximum, the maximum is 252 / 0.45 = 560…

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Correct answer: None of these

185. In an election between two candidates A and B, the number of valid votes received by A exceeds those received by B by 15% of the total number of votes polled. If 20% of the votes polled were invalid and a total of 8720 votes were polled, then how many valid votes did B get?

  • A. 2160
  • B. 2420
  • C. 2834
  • D. 3150
  • E. None of these

Explanation: Valid votes were 80% of 8720 votes: 0.80 x 8720 = 6976 votes. Also, A's excess was 15% of 8720 votes = 1308 votes, so B's votes were (6976…

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Correct answer: 2834

186. In an office, totally there are 6400 employees and 65% of the total employees are males. 25% of the males in the office are at-least 50 years old. Find the number of males aged below 50 years?

  • A. 1040
  • B. 2080
  • C. 3120
  • D. 4160
  • E. None of these

Explanation: Male employees were 65% of 6400 employees: 0.65 x 6400 = 4160 males. Those aged at least 50 were 25% of 4160 = 1040 males, so below 50…

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Correct answer: 3120

187. Anees spends 40% of his income on rent, 30% of the remaining on medicines and 20% of the remaining on education. If he saves Rs. 840 every month, then find his monthly salary?

  • A. Rs. 1800
  • B. Rs. 2000
  • C. Rs. 2200
  • D. Rs. 2500
  • E. None of these

Explanation: After spending 40% on rent, 60% of the salary remains; after spending 30% of that, 70% remains, and after education takes 20%, 80%…

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Correct answer: Rs. 2500

188. In a group of 80 children and 10 youngsters, each child got sweets that are 15% of the total number of children and each youngster got sweets that are 25% of the total number of children. How many sweets were there?

  • A. 1160
  • B. 1100
  • C. 1080
  • D. 1210
  • E. None of these

Explanation: Each of the 80 children gets 15% of 80 = 12 sweets, giving 80 x 12 = 960 sweets.

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Correct answer: 1160

189. There is a 30% increase in the price of an article in the first year, a 20% decrease in the second year and a 10% increase in the next year. If the final price of the article is Rs. 2288, then what was the price of the article initially?

  • A. Rs. 1500
  • B. Rs. 1800
  • C. Rs. 2000
  • D. Rs. 2400
  • E. None of these

Explanation: The successive price multiplier is 1.30 x 0.80 x 1.10 = 1.144. Therefore, the initial price was Rs. 2288 / 1.144 = Rs.

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Correct answer: Rs. 2000

190. In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 172 votes. Find the total number of valid votes?

  • A. 430
  • B. 570
  • C. 480
  • D. 520
  • E. None of these

Explanation: With only two candidates, the winning margin is the difference between 70% and 30%, or 40% of the valid votes.

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Correct answer: 430

191. In a class of 140 students, 60% of them passed. By what percent is the number of students who passed more than the number of failed students?

  • A. 80%
  • B. 20%
  • C. 40%
  • D. 50%
  • E. None of these

Explanation: Passed students = 60% of 140 = 0.60 x 140 = 84 students, so failed students = 140 - 84 = 56 students.

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Correct answer: 50%

192. 40% of Raees marks is equal to 20% of Rahim's marks which percent is equal to 30% of Rehman's marks. If Rehman's marks is 80, then find the average marks of Raees and Rahim?

  • A. 60
  • B. 70
  • C. 80
  • D. 90
  • E. None of these

Explanation: Let the common value be 30% of Rehman's 80 marks: 0.30 x 80 marks = 24 marks.

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Correct answer: 90

193. Moons salary was first increased by 20% and then decreased by 20%. If his present salary is Rs. 7200, then what was his original salary?

  • A. Rs. 8000
  • B. Rs. 7500
  • C. Rs. 7400
  • D. Rs. 7200
  • E. None of these

Explanation: The two changes multiply the original salary by 1.20 x 0.80 = 0.96, so Rs. 7200 = 0.96 x original salary. Original salary = Rs.

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Correct answer: Rs. 7500

194. If 25% of x is 15 less than 15% of 1500, then x is?

  • A. 720
  • B. 750
  • C. 820
  • D. 840
  • E. None of these

Explanation: 15% of 1500 = 0.15 x 1500 = 225. Since 25% of x is 15 less, 0.25x = 225 - 15 = 210, so x = 210 ÷ 0.25 = 840.

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Correct answer: 840

195. Amir saves 32% of his monthly salary. If he spends Rs. 27200, then find his savings?

  • A. 15400
  • B. 14300
  • C. 13200
  • D. 12800

Explanation: If Amir saves 32% of his salary, he spends the remaining 68%. Therefore, 68% of salary = Rs. 27200, giving salary = Rs. 27200 ÷ 0.68 = Rs.

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Correct answer: 12800

196. If the price of an article went up by 20%, then by what percent should it be brought down to bring it back to its original price?

  • A. 16 2/3%
  • B. 20%
  • C. 22 1/3%
  • D. 15%
  • E. None of these

Explanation: Take the original price as 100 units. After a 20% increase it becomes 120 units, so the required reduction is 20 units out of the new…

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Correct answer: 16 2/3%

197. If P gets 25% more than Q, then by what percent does Q get less than P?

  • A. 33 1/3%
  • B. 30%
  • C. 20%
  • D. 16 2/3%
  • E. None of these

Explanation: If Q is 100 marks, P gets 25% more, so P = 125 marks. Q is lower than P by 25 marks, and the decrease relative to P is (25 ÷ 125) x 100 =…

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Correct answer: 20%

198. If 30% of a number exceeds 20% of it by 18, then find the number?

  • A. 120
  • B. 200
  • C. 180
  • D. 150
  • E. None of these

Explanation: The difference between 30% and 20% of the number is 10% of the number. Thus, 10% of the number = 18, so the number = 18 ÷ 0.10 = 180.

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Correct answer: 180

199. When the numerator of a fraction is decreased by 25% and its denominator is decreased by 20%, the new fraction obtained is 3/4. Find the original fraction?

  • A. 5/4
  • B. 4/7
  • C. 5/6
  • D. 6/7
  • E. None of these

Explanation: Let the original fraction be n/d. After the changes, the fraction is (0.75n)/(0.80d) = 3/4. Hence n/d = (3/4) x (0.80/0.75) = 4/5.

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Correct answer: None of these

200. Bilal spends 45% of his monthly income on household items, 25% of his monthly income on buying cloths, 7.5% of his monthly income on medicines and saves the remaining amount which is Rs. 9000. Find his monthly income.

  • A. Rs. 40000
  • B. Rs. 36000
  • C. Rs. 50000
  • D. Rs. 45000
  • E. None of these

Explanation: Total spending is 45% + 25% + 7.5% = 77.5%, so the saved amount is 22.5% of monthly income. Therefore, 22.5% of income = Rs.

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Correct answer: Rs. 40000
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