TestUstad

All Free Mathematics MCQs with Answers

Every Mathematics question in the bank, across all chapters, each with the correct answer and a written explanation. Free and unlimited, with no account needed.

1,551 questions · page 20 of 78

381. 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…

Read the full explanation →
Correct answer: 13 1/23 %

382. 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.

Read the full explanation →
Correct answer: 10/19

383. 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.

Read the full explanation →
Correct answer: Rs. 81000

384. 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…

Read the full explanation →
Correct answer: None of these

385. 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.

Read the full explanation →
Correct answer: 25000

386. 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.

Read the full explanation →
Correct answer: 16800

387. 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.

Read the full explanation →
Correct answer: 2700

388. 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%…

Read the full explanation →
Correct answer: 27500

389. 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.

Read the full explanation →
Correct answer: Rs. 27.50 per kg

390. 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 =…

Read the full explanation →
Correct answer: 1411, 1079

391. Of the 1000 inhabitants of a town 60 % are males of whom 20 % are literate. If of all the inhabitants 25 % are literate. Then what percent of the females of the town are literate?

  • A. 22. 5 %
  • B. 27.5 %
  • C. 32. 5 %
  • D. 37.5 %

Explanation: There are 600 males, and 20% of them are literate, giving 600 × 20/100 = 120 literate males.

Read the full explanation →
Correct answer: 32. 5 %

392. Fresh grapes contain 80 % water dry grapes contain 10 % water. If the weight of dry grapes is 250 kg. What was its total weight when it was fresh?

  • A. 1000 kg
  • B. 1100 kg
  • C. 1125 kg
  • D. 1225 kg

Explanation: Dry matter remains unchanged during drying. The 250 kg dry grapes contain 90% dry matter, so dry matter = 250 kg × 90/100 = 225 kg; fresh…

Read the full explanation →
Correct answer: 1125 kg

393. Fresh fruit contains 68 % water and dry fruit contains 20 % water. How much dry fruit can be obtained from 100 kg of fresh fruits?

  • A. 32 kg
  • B. 40 kg
  • C. 52 kg
  • D. 80 kg

Explanation: The 100 kg fresh fruit contains 100 kg × 32% = 32 kg of dry matter because its water content is 68%.

Read the full explanation →
Correct answer: 40 kg

394. If the numerator of a fraction is increased by 140 % and the denominator is increased by 150 % the resultant fraction is 4/15 what is the original fraction?

  • A. 3/5
  • B. 5/16
  • C. 2/9
  • D. None of these

Explanation: Increasing the numerator by 140% multiplies it by 2.4, while increasing the denominator by 150% multiplies it by 2.5.

Read the full explanation →
Correct answer: None of these

395. In measuring the sides of a rectangle errors of 5 % and 3 % in excess are made. The error percent in the calculates area is_________?

  • A. 8. 35 %
  • B. 7.15 %
  • C. 8.15 %
  • D. 6. 25%

Explanation: If the original side lengths are L and W, the measured lengths become 1.05L and 1.03W.

Read the full explanation →
Correct answer: 8.15 %

396. The price of petrol is increased by 25 %. By how much percent a car owner should reduce his consumption of petrol. So that expenditure on petrol would not be increased?

  • A. 25 %
  • B. 30 %
  • C. 50 %
  • D. 20 %Teaching & Classroom Resources

Explanation: Let the original price and consumption be P rupees per unit and Q units, so expenditure is PQ rupees.

Read the full explanation →
Correct answer: 20 %Teaching & Classroom Resources

397. In a school, 40 % of the students play football and 50 % play cricket. If 18 % of the students play neither football nor cricket, the percentage of students playing both is________?

  • A. 40 %
  • B. 32 %
  • C. 22 %
  • D. 8 %Islamic Studies Quiz

Explanation: If 18% play neither game, then 82% play at least one game. Using the union formula, football plus cricket minus both equals the union, so…

Read the full explanation →
Correct answer: 8 %Islamic Studies Quiz

398. Out of 100 students, 50 failed in English and 30 in Mathematics. If 12 students fail in both English and Mathematics. Then the number of students who passed in both the subjects is__________?

  • A. 26
  • B. 28
  • C. 30
  • D. 32

Explanation: Students failing at least one subject are 50 + 30 − 12 = 68, because the 12 who failed both were counted twice and must be subtracted…

Read the full explanation →
Correct answer: 32

399. A period of 4 hrs 30 min is what percent of a day?

  • A. 18 3/4 %
  • B. 20 %
  • C. 16 3/4 %
  • D. 19 %

Explanation: A day has 24 hours, while 4 hours 30 minutes equals 4.5 hours. Therefore, the percentage is 4.5 hours ÷ 24 hours × 100% = 18.75%, or 18…

Read the full explanation →
Correct answer: 18 3/4 %

400. When a number is first increased by 10 % and then reduced by 10 % the number:__________?

  • A. does not change
  • B. decreased by 1 %
  • C. increased by 1 %
  • D. None of these

Explanation: Take the original number as 100 units. After a 10% increase it becomes 110 units, and reducing this by 10% gives 110 × 0.90 = 99 units…

Read the full explanation →
Correct answer: decreased by 1 %
Start Free Mathematics Practice MCQs Test