Free Quantitative Reasoning MCQs with Answers

505 Quantitative Reasoning MCQs from Analytical and Logical Reasoning, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.

Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.

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505 questions · page 51 of 51

501. Read the following and choose the correct answer X, Y and Z are three whole numbers less than 31 but greater than 23. X is a prime number. Y is the largest odd number smaller than 35. Z is the smallest even number?

Moderate
  • A. X is 31, Y is 29 and Z is 24
  • B. X is 29, Y is 29 and Z is 24
  • C. X is 23, Y is 29 and Z is 24
  • D. X is 27, Y is 31 and Z is 26

Explanation: According to the given question21 is not a prime number so, option A is incorrect.Z is 24 which is not a smallest even number this eliminating option C.As 27 which is not a prime number and z is 26 which is not a smallest even number this rules out option D as well.So the correct option is B.

Correct answer: X is 29, Y is 29 and Z is 24

502. Read the following and choose the correct answer : " P, Q and R are one-digit, non-negative numbers. P is the smallest even number. Q is the largest odd number. R is 5."

Moderate
  • A. P+Q+R= 16
  • B. P+Q +R =12
  • C. (Q+R) ×P= 30
  • D. (Q+R) ×P= 8

Explanation: Let's determine the values of P, Q, and R first:P is the smallest even number → P = 2Q is the largest odd number → Q = 9R is given as 5So adding them makes 16

Correct answer: P+Q+R= 16

503. If the stay of 6 men for 14 days in a hotel costs Rs.3360, find the cost for stay of 4 men for 7 days in the same hotel?

Moderate
  • A. 823
  • B. 1120
  • C. 1372
  • D. 2520

Explanation: In the question, we are given that it costs Rs. 3360 for 6 men to stay at a hotel for 14 days. We would like to find out the cost of staying at the hotel for one man for one day. If 6 men were to stay at the hotel for one day, the cost would be 3360 / 14 = Rs. 240. If 1 man was to stay at the hotel for one day, the cost would then be 240/6 = Rs. 40. We now know that the cost to stay at the hotel is Rs. 40 per day per person. To find the total cost for 4 men staying for 7 days, we multiply these numbers by the cost to stay at the hotel per day per person. 40x4x7 = Rs. 1120. Therefore B is the correct answer.

Correct answer: 1120

504. If sum of the two numbers is-9 and their product is-36, then the numbers are:

Moderate
  • A. 12, -3
  • B. -12, 3
  • C. -12, -3
  • D. 9, -4

Explanation: Instead of forming two simultaneous equations (a + b = -3 & ab = -36) and solving them, it is often advantageous and time efficient to quickly scan the answers and see which ones fit the given requirements. In this case, only answer B meets the initial condition that a+b = -3 and 3x-12 = -36 too, so B is the correct answer.

Correct answer: -12, 3

505. If the area of a circle is equal to its circumference the radius of this circle is:

Moderate
  • A. 1
  • B. 2
  • C. 3
  • D. 4

Explanation: πr2=2πr⟹r=2.The correct option is B. 2. The area of a circle is given by the formula A = πr^2, where r is the radius. The circumference of a circle is given by the formula C = 2πr. If the area of a circle is equal to its circumference, we can set up the equation πr^2 = 2πr. Simplifying this equation, we get r = 2.Therefore, the radius of this circle is 2.AS, IT IS NUMERICALLY DERIVATED SO IT COULD HAVE ONLY ONE ANSWER.

Correct answer: 2