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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 9 of 53

161. The population of a town increases 4 % annually but is decreased by emigration annually to the extent of (1/2) %. What will be the increase percent in three years?

  • A. 9.8
  • B. 10
  • C. 10.5
  • D. 10.8

Explanation: Each year the population is multiplied by 1.04 and then by 0.995, giving a yearly factor of 1.035.

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Correct answer: 10.8

162. On decreasing the price of T.V. sets by 30 % its sale is increased by 20 %. What is the effect on the revenue received by the shopkeeper?

  • A. 10 % increase
  • B. 10 % decrease
  • C. 16 % increase
  • D. 16 % decrease

Explanation: Take the original price and sales as 100 units each, so original revenue is 100 x 100 = 10,000 revenue units.

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Correct answer: 16 % decrease

163. Water tax is increased by 20% but its consumption is decreased by 20 %. Then, the increase or decrease in the expenditure of the money is:________?

  • A. No change
  • B. 5 % decrease
  • C. 4 % increase
  • D. 4 % decrease

Explanation: If the original tax and consumption are 100 units each, the original expenditure is 10,000 expenditure units.

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Correct answer: 4 % decrease

164. The price of cooking oil has increased by 25 %. The percentage of reduction that a farming should effect in the use of cooking oil so as not to increase the expenditure on this account is________?

  • A. 15 %
  • B. 20 %
  • C. 25%
  • D. 30%

Explanation: Let the original price and quantity be Rs. 100 and 100 units, giving expenditure of Rs. 10,000. After a 25% price rise, the price is Rs.

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Correct answer: 20 %

165. What will be 80 Percent of a number whose 200 percent is 90?

  • A. 144
  • B. 72
  • C. 36
  • D. none of these

Explanation: If 200% of the number is 90, then the number is 90 / 2 = 45. Therefore, 80% of it is 0.8 x 45 = 36.

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Correct answer: 36

166. In an election between two candidates, the candidate who gets 30 % of the votes polled is defeated by 15000 votes. The number of votes polled by the winning candidate is:________?

  • A. 11250
  • B. 15000
  • C. 26250
  • D. 37500

Explanation: The losing candidate receives 30%, so the winning candidate receives 70%; their difference is 40% of the total votes.

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Correct answer: 26250

167. In a college election, a candidate secured 62 % of the votes and is elected by a majority of 144 votes. The total number of votes polled is:________?

  • A. 600
  • B. 800
  • C. 925
  • D. 1200Pakistan Studies Quiz

Explanation: The winning margin is 62% - 38% = 24% of the total votes. Since 24% equals 144 votes, the total is 144 / 0.24 = 600 votes.

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Correct answer: 600

168. A student who secures 20 % marks in an examination fails by 30 marks. Another student who secures 32 % marks gets 42 marks more than those required to pass. The percentage of marks required to pass is:________?

  • A. 20%
  • B. 25 %
  • C. 28%
  • D. 30%

Explanation: The difference between the two students' scores is 32% - 20% = 12% of the total marks, and this difference is 30 + 42 = 72 marks.

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Correct answer: 25 %

169. 75 % of a number when added to 75 is equal to the number. The number is:_______?

  • A. 150
  • B. 200
  • C. 225
  • D. 300

Explanation: Let the number be x. The equation is 75% of x + 75 = x, so x - 0.75x = 75, giving 0.25x = 75 and x = 300.

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Correct answer: 300

170. After spending 40 % in machinery, 25 % in the building, 15 % in raw material and 5 % on furniture, Haris had a balance of Rs. 1305. The money with him was:________?

  • A. Rs. 6500
  • B. Rs. 7225
  • C. Rs. 8700
  • D. Rs. 1390

Explanation: The total spent is 40% + 25% + 15% + 5% = 85%, leaving 15% of the original money. Since 15% equals Rs. 1,305, the original amount is Rs.

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Correct answer: Rs. 8700

171. A man donated 5 % of his income to a charitable organization and deposited 20 % of the remainder in a bank. If he now has Rs. 1919 left, what is his income?

  • A. Rs. 2558. 60
  • B. Rs. 2525
  • C. Rs. 2500
  • D. Rs. 2300

Explanation: After donating 5% of his income, 95% remains; depositing 20% of that leaves 80% of 95%, or 76% of the income. Thus 0.76 x income = Rs.

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Correct answer: Rs. 2525

172. Raees credits 15 % of his salary in this fixed deposit account and spends 30 % of the remaining amount on groceries if the cash in hand is Rs. 2380, what is his salary?

  • A. Rs. 3500
  • B. Rs. 4000
  • C. Rs. 4500
  • D. Rs. 5000

Explanation: After crediting 15% to the fixed deposit, 85% of the salary remains; spending 30% of this leaves 70% x 85% = 59.5% of the salary in cash.

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Correct answer: Rs. 4000

173. The income of a broker remains uncharged though the rate of commission is increased from 4 % to 5 % the percentage of a slump in business is_______?

  • A. 8 %
  • B. 1 %
  • C. 20 %
  • D. 80 %

Explanation: For unchanged income, old commission equals new commission: 4% of old business = 5% of new business.

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Correct answer: 20 %

174. The Price of an article is cut by 10%. To restore it to the former value, the new price must be increased by_______?

  • A. 10 %
  • B. 9 1/11 %
  • C. 11 1/9 %
  • D. 11%

Explanation: Let the original price be Rs. 100; after a 10% cut, the new price is Rs. 90. To return to Rs. 100, the increase required is Rs. 10 / Rs.

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Correct answer: 11 1/9 %

175. What percentage of numbers from 1 to 70 have squares that end in the digit 1?

  • A. 1
  • B. 14
  • C. 20
  • D. 21

Explanation: A square ends in 1 when its number ends in 1 or 9. From 1 to 70 there are 7 numbers ending in 1 and 7 ending in 9, giving 14 numbers; the…

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Correct answer: 20

176. The number which exceeds 16% of it by 42 is________?

  • A. 50
  • B. 52
  • C. 58
  • D. 60Educational Resources

Explanation: If the number is x, exceeding 16% of it by 42 means x - 0.16x = 42. Hence 0.84x = 42 and x = 42 / 0.84 = 50.

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Correct answer: 50

177. In a class of 120 students , 45 students received a grade of B.What percent of the class received a grade of B ?

  • A. 75 %
  • B. 25.6 %
  • C. 37.5%
  • D. 18.5%General Reference

Explanation: The fraction receiving grade B is 45 students / 120 students. Converting to a percentage gives 45 / 120 x 100 = 37.5%.

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Correct answer: 37.5%

178. A company has 7348 bars of soap. If the company sells 20% of its bars of soap .how many bars of soap did it sell?

  • A. 734.8
  • B. 1469.6
  • C. 146950
  • D. 29390

Explanation: The sold amount is 20% of 7348 bars: (20/100) x 7348 bars = 1469.6 bars. Option a, 734.8 bars, comes from using 10% instead of 20%.

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Correct answer: 1469.6

179. If 20 teachers out of a faculty of 80 are transferred, what percentage of the original faculty remains ?

  • A. 4
  • B. 16
  • C. 60
  • D. 75

Explanation: The number remaining is 80 teachers - 20 teachers = 60 teachers. Thus, the percentage remaining is (60 teachers / 80 teachers) x 100 =…

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Correct answer: 75

180. If 35% of a number is 12 less than 50% of that number, then the number is_________?

  • A. 40
  • B. 50
  • C. 60
  • D. 80

Explanation: The difference between 50% and 35% is 15%, so 15% of the number equals 12: (15/100)n = 12, giving n = 12 x 100 / 15 = 80.

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Correct answer: 80
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