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All Free Mathematics MCQs with Answers

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1,551 questions · page 19 of 78

361. A man took a loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was :

  • A. Rs. 2000
  • B. Rs. 10,000
  • C. Rs. 15,000
  • D. Rs. 20,000

Explanation: Using SI = P x r x t, Rs. 5400 = P x 0.12 per year x 3 years. Therefore, P = Rs. 5400 ÷ 0.36 = Rs. 15,000. Option b, Rs.

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Correct answer: Rs. 15,000

362. A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest What is the rate of interest ?

  • A. 3%
  • B. 4%
  • C. 5%
  • D. 6%

Explanation: The simple interest earned is Rs. 15,500 - Rs. 12,500 = Rs. 3000. Thus the annual rate is Rs. 3000 ÷ (Rs.

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Correct answer: 6%

363. A sum of money trebles itself in 15 years, 6 months. In how many years would it double itself ?

  • A. 6 years 3 months
  • B. 7 years 9 months
  • C. 8 years 3 months
  • D. 9 years 6 months

Explanation: If the principal trebles in 15 years 6 months, the interest earned is twice the principal in 15.5 years.

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Correct answer: 7 years 9 months

364. What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years ?

  • A. 1 : 3
  • B. 1 : 4
  • C. 2 : 3
  • D. Data inadequate

Explanation: For the same principal and rate, simple interest is directly proportional to time because SI = P x r x t.

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Correct answer: 2 : 3

365. An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes :_________?

  • A. 10%
  • B. 10.25%
  • C. 10.50%
  • D. None of these

Explanation: Charging 10% per annum every 6 months means each half-year period uses a 5% rate.

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Correct answer: 10.25%

366. When the Price of fans was reduced by 20 %. The number of fans sold increased by 40 %. What was the effect on the sales of rupees?

  • A. 12 % Increase
  • B. 12 % decrease
  • C. 30 % increase
  • D. 40 % increase

Explanation: Take the original price as Rs. 100 and the original number sold as 100, making original sales Rs. 10,000.

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Correct answer: 12 % Increase

367. When the price of a toy was increased by 20 % of the number of toys sold was decreased by 15 %. What was the effect on the sales of the shop?

  • A. 4 % increase
  • B. 4 % decrease
  • C. 2 % increase
  • D. 2 % decrease

Explanation: Take the original price and number of toys as Rs. 100 and 100 toys, so sales are Rs. 10,000.

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Correct answer: 2 % increase

368. The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is:________?

  • A. 4.37%
  • B. 5%
  • C. 6%
  • D. 8.75%

Explanation: The increase is 2,62,500 - 1,75,000 = 87,500 people, which is 87,500/1,75,000 x 100 = 50% over 10 years.

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Correct answer: 5%

369. Ramees buys good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.

  • A. Rs. 6876.10
  • B. Rs. 6999.20
  • C. Rs. 6654
  • D. Rs. 7000

Explanation: The 6% rebate is Rs.6,650 x 6% = Rs.399, so the price after rebate is Rs.6,650 - Rs.399 = Rs.6,251.

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Correct answer: Rs. 6876.10

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

  • A. 57%
  • B. 60%
  • C. 65%
  • D. 90%

Explanation: The total votes are 1,136 + 7,636 + 11,628 = 20,400 votes. The winning candidate received 11,628/20,400 x 100 = 57%.

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Correct answer: 57%

371. 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

372. 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%

373. 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%

374. 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%

375. 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%

376. 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

377. 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

378. 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

379. 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%

380. 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
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