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All Free Mathematics MCQs with Answers

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1,551 questions · page 23 of 78

441. In a class of 140 students, 60% of them passed. By what percent is the number of students who passed more than the number of failed students?

  • A. 80%
  • B. 20%
  • C. 40%
  • D. 50%
  • E. None of these

Explanation: Passed students = 60% of 140 = 0.60 x 140 = 84 students, so failed students = 140 - 84 = 56 students.

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Correct answer: 50%

442. 40% of Raees marks is equal to 20% of Rahim's marks which percent is equal to 30% of Rehman's marks. If Rehman's marks is 80, then find the average marks of Raees and Rahim?

  • A. 60
  • B. 70
  • C. 80
  • D. 90
  • E. None of these

Explanation: Let the common value be 30% of Rehman's 80 marks: 0.30 x 80 marks = 24 marks.

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Correct answer: 90

443. Moons salary was first increased by 20% and then decreased by 20%. If his present salary is Rs. 7200, then what was his original salary?

  • A. Rs. 8000
  • B. Rs. 7500
  • C. Rs. 7400
  • D. Rs. 7200
  • E. None of these

Explanation: The two changes multiply the original salary by 1.20 x 0.80 = 0.96, so Rs. 7200 = 0.96 x original salary. Original salary = Rs.

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Correct answer: Rs. 7500

444. If 25% of x is 15 less than 15% of 1500, then x is?

  • A. 720
  • B. 750
  • C. 820
  • D. 840
  • E. None of these

Explanation: 15% of 1500 = 0.15 x 1500 = 225. Since 25% of x is 15 less, 0.25x = 225 - 15 = 210, so x = 210 ÷ 0.25 = 840.

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Correct answer: 840

445. Amir saves 32% of his monthly salary. If he spends Rs. 27200, then find his savings?

  • A. 15400
  • B. 14300
  • C. 13200
  • D. 12800

Explanation: If Amir saves 32% of his salary, he spends the remaining 68%. Therefore, 68% of salary = Rs. 27200, giving salary = Rs. 27200 ÷ 0.68 = Rs.

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Correct answer: 12800

446. If the price of an article went up by 20%, then by what percent should it be brought down to bring it back to its original price?

  • A. 16 2/3%
  • B. 20%
  • C. 22 1/3%
  • D. 15%
  • E. None of these

Explanation: Take the original price as 100 units. After a 20% increase it becomes 120 units, so the required reduction is 20 units out of the new…

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Correct answer: 16 2/3%

447. If P gets 25% more than Q, then by what percent does Q get less than P?

  • A. 33 1/3%
  • B. 30%
  • C. 20%
  • D. 16 2/3%
  • E. None of these

Explanation: If Q is 100 marks, P gets 25% more, so P = 125 marks. Q is lower than P by 25 marks, and the decrease relative to P is (25 ÷ 125) x 100 =…

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Correct answer: 20%

448. If 30% of a number exceeds 20% of it by 18, then find the number?

  • A. 120
  • B. 200
  • C. 180
  • D. 150
  • E. None of these

Explanation: The difference between 30% and 20% of the number is 10% of the number. Thus, 10% of the number = 18, so the number = 18 ÷ 0.10 = 180.

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Correct answer: 180

449. When the numerator of a fraction is decreased by 25% and its denominator is decreased by 20%, the new fraction obtained is 3/4. Find the original fraction?

  • A. 5/4
  • B. 4/7
  • C. 5/6
  • D. 6/7
  • E. None of these

Explanation: Let the original fraction be n/d. After the changes, the fraction is (0.75n)/(0.80d) = 3/4. Hence n/d = (3/4) x (0.80/0.75) = 4/5.

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Correct answer: None of these

450. Bilal spends 45% of his monthly income on household items, 25% of his monthly income on buying cloths, 7.5% of his monthly income on medicines and saves the remaining amount which is Rs. 9000. Find his monthly income.

  • A. Rs. 40000
  • B. Rs. 36000
  • C. Rs. 50000
  • D. Rs. 45000
  • E. None of these

Explanation: Total spending is 45% + 25% + 7.5% = 77.5%, so the saved amount is 22.5% of monthly income. Therefore, 22.5% of income = Rs.

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Correct answer: Rs. 40000

451. 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

452. 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%

453. 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%

454. 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%

455. 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

456. 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

457. 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

458. 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

459. 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

460. 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
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