All Free Quantitative Methods MCQs with Answers
Every Quantitative Methods question in the bank, across all chapters, each with the correct answer and a written explanation. Free and unlimited, with no account needed.
360 questions · page 1 of 18
- A. 9/8
- B. 13/8
- C. 11/8
- D. 15/8
Explanation: Convert 3/4 to 6/8, then add 5/8 to obtain 11/8. The common denominator is 8, not 4 or 16.
Correct answer: 11/8- A. 200
- B. 220
- C. 240
- D. 260
Explanation: Since 20% equals 0.20, the number is 48 divided by 0.20, which gives 240. Multiplying 48 by 20 would incorrectly treat 20% as 20.
Correct answer: 240- A. Rs. 36
- B. Rs. 32
- C. Rs. 28
- D. Rs. 42
Explanation: The total ratio is 7 parts, so one part equals 84 divided by 7, or 12. The smaller share is 3 times 12, equal to Rs. 36.
Correct answer: Rs. 36- A. 8
- B. 12
- C. 16
- D. 32
Explanation: For the same base, exponents are added during multiplication and subtracted during division.
Correct answer: 16- A. 1/4
- B. 5/12
- C. 3/8
- D. 7/16
Explanation: The decimal 0.375 equals 375/1000, which simplifies to 3/8. The other fractions produce different decimal values.
Correct answer: 3/8- A. 15%
- B. 20%
- C. 25%
- D. 30%
Explanation: The increase is Rs. 50, and 50 divided by 250 equals 0.20. Therefore, the percentage increase is 20%, not 25% of the new price.
Correct answer: 20%- A. 8:12:15
- B. 6:8:10
- C. 8:10:15
- D. 12:8:15
Explanation: Make the value of B common by using 12. The first ratio becomes 8:12 and the second becomes 12:15, giving A:B:C = 8:12:15.
Correct answer: 8:12:15- A. -8
- B. 8
- C. 1/8
- D. -1/8
Explanation: A negative exponent takes the reciprocal of the base, so (1/2)^(-3) equals 2^3. Therefore, the value is 8, not negative 8.
Correct answer: 8- A. Rs. 782
- B. Rs. 816
- C. Rs. 800
- D. Rs. 840
Explanation: After a 15% discount, the selling price represents 85% of the original price.
Correct answer: Rs. 800- A. 2
- B. 3
- C. 4
- D. 5
Explanation: Since 81 equals 3^4, the exponents must satisfy x + 1 = 4. Solving this equation gives x = 3.
Correct answer: 3- A. 1/9
- B. 2/9
- C. 1/3
- D. 5/9
Explanation: Convert 2/3 to 6/9, then subtract it from 7/9 to obtain 1/9. The common denominator is needed before subtracting fractions.
Correct answer: 1/9- A. 54
- B. 60
- C. 64
- D. 66
Explanation: Divide 72 by 6 to get 12, then multiply 12 by 5. Therefore, 5/6 of 72 equals 60.
Correct answer: 60- A. 4.5%
- B. 45%
- C. 0.45%
- D. 450%
Explanation: To convert a decimal to a percentage, multiply it by 100. Thus, 0.45 becomes 45%, not 0.45% or 450%.
Correct answer: 45%- A. 18
- B. 20
- C. 24
- D. 28
Explanation: The total number of ratio parts is 12, so each part represents 48 ÷ 12 = 4 students. Boys represent 5 parts, giving 5 × 4 = 20.
Correct answer: 2015. An amount of Rs. 360 is divided among three people in the ratio 2:3:4. What is the largest share?
- A. Rs. 120
- B. Rs. 160
- C. Rs. 140
- D. Rs. 180
Explanation: The ratio contains 9 total parts, and each part is Rs. 360 ÷ 9 = Rs. 40. The largest share has 4 parts, so it is Rs. 160.
Correct answer: Rs. 160- A. 24
- B. 30
- C. 36
- D. 40
Explanation: Since 12.5% equals 1/8, calculate 240 ÷ 8. The result is 30.
Correct answer: 30- A. 3
- B. 6
- C. 9
- D. 12
Explanation: When powers with the same base are divided, subtract the exponents: 3^(4−2) = 3^2. Therefore, the value is 9.
Correct answer: 9- A. x^6
- B. x^5
- C. x^8
- D. 2x^3
Explanation: When a power is raised to another power, multiply the exponents. Thus, (x^3)^2 equals x^(3×2), or x^6.
Correct answer: x^6- A. 10%
- B. 12%
- C. 15%
- D. 20%
Explanation: The profit is Rs. 575 − Rs. 500 = Rs. 75. Dividing Rs. 75 by the cost price of Rs. 500 and multiplying by 100 gives a 15% profit.
Correct answer: 15%- A. 3/10
- B. 1/2
- C. 3/5
- D. 7/10
Explanation: Convert 2/5 to 4/10, then add 1/10 to get 5/10. Simplifying 5/10 gives 1/2.
Correct answer: 1/2