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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 11 of 53

201. If 15% of 30% of 50% of a number is 90, then what is the number?

  • A. 4000
  • B. 3050
  • C. 4400
  • D. 4500
  • E. None of these

Explanation: The combined percentage is 15% x 30% x 50% = 0.15 x 0.30 x 0.50 = 0.0225. Thus, 0.0225 x number = 90, so number = 90 ÷ 0.0225 = 4000.

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Correct answer: 4000

202. If A got 80 marks and B got 60 marks, then what percent of A's mark is B's mark?

  • A. 60%
  • B. 80%
  • C. 65%
  • D. 75%
  • E. None of these

Explanation: B's marks as a percentage of A's marks are calculated using A as the base: (60 marks ÷ 80 marks) x 100 = 75%.

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Correct answer: 75%

203. 3/20 is what percent of 12/25?

  • A. 42.75%
  • B. 31.25%
  • C. 35.5%
  • D. 40.5%
  • E. None of these

Explanation: To find what percentage 3/20 is of 12/25, calculate [(3/20) ÷ (12/25)] x 100 = (3/20 x 25/12) x 100 = 31.25%.

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Correct answer: 31.25%

204. 80 is what percent of 64?

  • A. 85%
  • B. 120%
  • C. 75%
  • D. 125%
  • E. None of these

Explanation: Using 64 as the base, the percentage is (80 ÷ 64) x 100 = 1.25 x 100 = 125%.

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Correct answer: 125%

205. What percent of 125 is 16?

  • A. 10 2/5%
  • B. 12 3/5%
  • C. 11 1/5%
  • D. None of these

Explanation: The required percentage is (16 ÷ 125) x 100 = 12.8%, which is 12 4/5%. This value is not listed, so option d is correct.

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Correct answer: None of these

206. Find the 37.5% of 976 =_______?

  • A. 324
  • B. 388
  • C. 366
  • D. 372
  • E. None of these

Explanation: 37.5% equals 3/8, so 37.5% of 976 = (3/8) x 976 = 3 x 122 = 366. The likely trap is 388, which is 40% of 970 approximately and does not…

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Correct answer: 366

207. When 5% is lost in grinding wheat, a country has to import 20 million bags; but when only 2% is lost, it has to import only 15 million bags. Find the quantity of wheat, which grows in the country?

  • A. 133 1/3 m
  • B. 150 m
  • C. 106 2/3 m
  • D. 166 2/3 m

Explanation: Let the country's wheat production be x million bags and the required total be fixed.

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Correct answer: 166 2/3 m

208. A person was asked to subtract 25% of a number from the original but he subtracted 25 from the number. His answer was 25 more than correct one. What was the original number?

  • A. 160
  • B. 180
  • C. 225
  • D. 200

Explanation: Let the original number be x. The correct answer is x - 25% of x = 0.75x, while the mistaken answer is x - 25; since it is 25 more, x - 25…

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Correct answer: 200

209. In a school of 850 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?

  • A. 173
  • B. 163
  • C. 153
  • D. 143

Explanation: The listed communities make up 44% + 28% + 10% = 82%, so other communities are 100% - 82% = 18%.

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Correct answer: 153

210. A person spends 1/5th of his income on the education of his children, and 20% of the remaining on food. If he is left with Rs.576 find his income?

  • A. Rs.900
  • B. Rs.800
  • C. Rs.500
  • D. Rs.1000

Explanation: If the income is x rupees, education uses 1/5, leaving 4/5x rupees. Food uses 20% of this remainder, so 80% remains: 0.8 x 0.8x = 0.64x =…

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Correct answer: Rs.900

211. In an examination, 47% failed in English and 54% failed in Mathematics. Find the pass percentage in both the subjects if 31% failed in both the subjects?

  • A. 70%
  • B. 37%
  • C. 53%
  • D. 30%

Explanation: Using inclusion-exclusion, the percentage failing in at least one subject is 47% + 54% - 31% = 70%, because students failing both were…

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Correct answer: 30%

212. The salary of a worker is first increased by 30% and afterwards reduced by 30%. What is net change in his salary?

  • A. 90% increase
  • B. 45% increase
  • C. 9% decrease
  • D. Same as before

Explanation: Take the original salary as 100%. After a 30% increase it becomes 130%, and reducing this new salary by 30% gives 130% x 70% = 91%.

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Correct answer: 9% decrease

213. In an examination 40% failed in Urdu, 45% failed in English. If 25% students failed in both the subjects. Then the percentage of failed students is________?

  • A. 15%
  • B. 65%
  • C. 60%
  • D. 70%

Explanation: The percentage failing in at least one subject is 40% + 45% - 25% = 60%, subtracting the 25% who failed in both because they were counted…

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Correct answer: 60%

214. After 38 liters of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it?

  • A. 38 liters
  • B. 40 liters
  • C. 38.5 liters
  • D. 2 liters

Explanation: The 38 litres poured in represent 95% of the tank because the tank is still 5% empty.

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Correct answer: 2 liters

215. A candidate who gets 30% of the marks fails by 50 marks. But another candidate who gets 45% marks gets 25 marks more than necessary for passing. Find the number of marks for passing?

  • A. 150
  • B. 200
  • C. 250
  • D. 275

Explanation: Let the total marks be M and passing marks be P. The two statements give 0.30M = P - 50 marks and 0.45M = P + 25 marks; subtracting gives…

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Correct answer: 200

216. A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 20%, he is only able to save Rs. 200 per month. What is his monthly salary?

  • A. Rs.5000
  • B. Rs.25000
  • C. Rs.7500
  • D. Rs.8500

Explanation: Saving 20% of the salary means the original expenses are 80% of salary.

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Correct answer: Rs.5000

217. Two numbers are 30% and 37% are less than a third number .How much percent is the second number less than the first?

  • A. 15%
  • B. 12%
  • C. 10%
  • D. 5%

Explanation: Let the third number be 100 units. The first number is 70 units and the second is 63 units, so the second is 7 units less than the first.

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Correct answer: 10%

218. If cost of sugar increases by 25%. How much percent consumption of sugar should be decreased in order to keep expenditure fixed?

  • A. 10%
  • B. 15%
  • C. 20%
  • D. 25%
  • E. None

Explanation: Keep expenditure fixed by making the consumption factor the reciprocal of the price factor.

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Correct answer: 20%

219. Nawaz Sahrif spends 10% of his income in house rent, 20% of the rest on his children's education, 25% of the rest miscellaneous causes. If he now posses Rs. 1944 then his income is_______?

  • A. Rs.3600
  • B. Rs.4000
  • C. Rs.4500
  • D. Rs.3000

Explanation: After paying 10% rent, 90% of the income remains. After spending 20% of that on education, 80% remains, and after spending 25% of that on…

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Correct answer: Rs.3600

220. Masood's salary is reduced by 10% and then reduced salary is increased by 10%. Find ,how many percentage his present salary is less as compared to his previous salary?

  • A. Nothing
  • B. 10%
  • C. 1%
  • D. 5%

Explanation: Take the previous salary as 100%. A 10% reduction makes it 90%, and a 10% increase on that reduced salary gives 90% x 110% = 99%, so the…

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Correct answer: 1%
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