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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 7 of 53

121. The tank full of petrol in Haroon's motorcycle lasts for 10 days, if he starts using 25% more every day for how many days will the tank full of petrol last?

  • A. 5days
  • B. 6days
  • C. 7days
  • D. 8days

Explanation: If the normal daily consumption is 1 tank-day, using 25% more means consuming 1.25 tank-days per day.

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Correct answer: 8days

122. A gardener increases the area of his rectangular garden by increasing its length by 40% and decreasing by 20%. The area of the new garden?

  • A. Has increase by 20%
  • B. Has increase by 12%
  • C. Has increase b 8%
  • D. Is exactly the same as the old area

Explanation: Let the original length and breadth be L and B, so the old area is LB. The new area is 1.40L × 0.80B = 1.12LB, which is a 12% increase.

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Correct answer: Has increase by 12%

123. If the price of petral is increased by 20% by what percentage should the consumption be decreased by the consumer if the expenditure on petrel remains unchanged?

  • A. 16 2/3%
  • B. 6 2/3%
  • C. 8%
  • D. 15%

Explanation: Let the original price and consumption be P and Q, giving expenditure PQ.

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Correct answer: 16 2/3%

124. In a survey it was found that 80% of those surveyed owned a car while 60% of those surveyed owned a mobile phone, if 55% owned both a car and a Mobile phone, What percent of those surveyed owned a car or a mobile phone or both?

  • A. 65%
  • B. 80%
  • C. 85%
  • D. 97.5%

Explanation: Using the inclusion-exclusion rule, the percentage owning a car or a mobile phone is 80% + 60% − 55% = 85%.

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Correct answer: 85%

125. Two numbers X and Y are respectively 20% and 28% less than a third number Z. By what percentage is the number Y less than that of the number X?

  • A. 8%
  • B. 9%
  • C. 10%
  • D. 11%

Explanation: Let Z be 100 units, so X = 80 units and Y = 72 units. Y is 8 units less than X, and 8 ÷ 80 × 100 = 10%, so Y is 10% less than X.

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Correct answer: 10%

126. In an examination, every candidate took physics or mathematics or both 65.8% took physics and 59.2% took mathematics the total number of candidates was 2000. How many candidates took both physics and mathematics?

  • A. 750
  • B. 500
  • C. 250
  • D. 125

Explanation: Since every candidate took at least one subject, the union is 100%. Therefore, both subjects = 65.8% + 59.2% − 100% = 25% of 2000…

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Correct answer: 500

127. A city has a population of 300000 out of which 180000 are males 50% of the population is illiterate if 70 % of the males are literate, then the number of literate females is_________?

  • A. 24000
  • B. 30000
  • C. 54000
  • D. 60000

Explanation: Half of 300,000 people are literate, so the total number of literate people is 50% × 300,000 = 150,000 people.

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Correct answer: 24000

128. In a test a candidate attempted only 8 Questions and secured 50% marks in each of the questions if the obtained a total of 40% in the test and all questions in the test carried equal marks, how many questions were there in the test?

  • A. 8
  • B. 10
  • C. 15
  • D. 16Educational Resources

Explanation: Attempting 8 questions at 50% gives marks equal to 8 × 50% = 4 full-question marks.

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Correct answer: 10

129. In a town 45% population read magazine A, 55% magazine B, 40% read Magazine C, 30% read magazines A and B, 15% read magazines B and C, 25% read magazines A and C and 10% read all the three magazines. What percentage do not read any magazine?

  • A. 10%
  • B. 15%
  • C. 20%
  • D. 25%

Explanation: The percentage reading at least one magazine is 45% + 55% + 40% − 30% − 15% − 25% + 10% = 80%, using inclusion-exclusion.

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Correct answer: 20%

130. Candidates in a competitive examination consisted of 60% men and 40% women 70% men and 75% women cleared the qualifying test and entered the final test where 80% men and 70% women were successful? Which of the following statements is correct?

  • A. Success rate is higher for women
  • B. Overall success rate is below 50%
  • C. More men cleared the examination than women
  • D. Both 'A' and 'B'Election Officer Mcqs

Explanation: Assume 100 candidates: 60 men and 40 women. Successful men = 60% × 70% × 80% = 33.6 candidates, while successful women = 40% × 75% × 70% =…

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Correct answer: More men cleared the examination than women

131. The price of a certain item is increased by 15 %. If a consumer wants to keep his expenditure on the item same as before how much percent must he reduce his consumption of that item?

  • A. 10 20/23 %
  • B. 13 1/23 %
  • C. 16 2/3 %
  • D. 15 %

Explanation: Let the original price and consumption be P and Q. With a 15% increase, the new price is 1.15P, so unchanged expenditure requires…

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Correct answer: 13 1/23 %

132. If the numerator of a fraction is increased by 250 % and the denominator is increased by 400 % the resultant fraction is 7/19. What is the original fraction?

  • A. 10/19
  • B. 5/9
  • C. 9/5
  • D. 19/7Standardized & Admissions Tests

Explanation: Increasing the numerator by 250% makes it 3.5 times the original, and increasing the denominator by 400% makes it 5 times the original.

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Correct answer: 10/19

133. The value of a plant depreciates by 10 % annually. If the present value of the plant is Rs. 100000, then what will be its value after 2 years?

  • A. Rs. 8000
  • B. Rs 10000
  • C. Rs. 18000
  • D. Rs. 81000

Explanation: A 10% annual depreciation leaves 90% of the value each year. After 2 years, the value is Rs. 100,000 × 0.90 × 0.90 = Rs. 81,000.

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Correct answer: Rs. 81000

134. Three candidates in an election received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?

  • A. 11. 6 %
  • B. 60 %
  • C. 76. 4 %
  • D. None of these

Explanation: Total votes = 1,136 votes + 7,636 votes + 11,628 votes = 20,400 votes. The winning candidate received 11,628 ÷ 20,400 × 100 = 57%, which…

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Correct answer: None of these

135. 10 % of the electorate did not cast their votes in an election between two candidates. 10 % of the votes polled were found invalid. The successful candidate got 54 % of the valid votes and won by a majority of 1620 votes. The number of voters enrolled on the voter's list was___________?

  • A. 25000
  • B. 33000
  • C. 35000
  • D. 40000

Explanation: If the electorate is E voters, votes polled are 90% of E and valid votes are 90% of those, so valid votes = 0.90 × 0.90E = 0.81E votes.

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Correct answer: 25000

136. In an election between two candidates 75 % of the voters cast their votes. Out of which 2 % of the voters were declared invalid. A candidate got 9261 votes which were 75 % of the total valid votes. The total number of voters enrolled in that election was:__________?

  • A. 10000
  • B. 16400
  • C. 16800
  • D. 18000Everyday Science Quiz

Explanation: Since 9,261 votes are 75% of the valid votes, valid votes = 9,261 ÷ 0.75 = 12,348 votes.

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Correct answer: 16800

137. In an election between two candidates. One got 55 % of the total valid votes. 20 % of the votes were invalid. If the total number of votes was 7500. The number of valid votes that the other candidate got was_________?

  • A. 2700
  • B. 2900
  • C. 3000
  • D. 3100

Explanation: Invalid votes are 20% of 7,500 votes, so valid votes = 80% × 7,500 = 6,000 votes.

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Correct answer: 2700

138. 8 % of the voters in an election did not cast their votes in the election, there were only two candidates. The winner by obtaining 48 % of the total votes defeated his contestant by 1100 votes. The total number of voters in the election was_________?

  • A. 21000
  • B. 2200
  • C. 23500
  • D. 27500

Explanation: Let the total electorate be E voters. The winner received 48% of E and, because 8% did not vote, the contestant received the remaining 92%…

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Correct answer: 27500

139. A reduction of 20 % in the price of rice enables a person to buy 3.5 kg more rice for Rs. 385. The original price of rice is:________?

  • A. Rs. 20 per kg
  • B. Rs. 22.50 per kg
  • C. Rs. 25 per kg
  • D. Rs. 27.50 per kg

Explanation: If the original price is p rupees per kg, the reduced price is 0.8p rupees per kg.

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Correct answer: Rs. 27.50 per kg

140. The sum of two numbers is 2490. If 6.5 % of one number is equal to 8.5 % of the other then the numbers are:_________?

  • A. 989, 1501
  • B. 1011, 1479
  • C. 1401, 1089
  • D. 1411, 1079

Explanation: Let the numbers be x and y. Since 6.5% of x equals 8.5% of y, 6.5x = 8.5y, so x:y = 8.5:6.5 = 17:13; their total of 2490 gives 30 parts =…

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Correct answer: 1411, 1079
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