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All Free Mathematics MCQs with Answers

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1,551 questions · page 22 of 78

421. 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

422. 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

423. 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 %

424. 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 %

425. 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

426. 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

427. 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%

428. 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

429. 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

430. 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

431. 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

432. 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

433. 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

434. 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

435. 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

436. 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

437. 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

438. 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

439. 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

440. 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
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