Free Quantitative Reasoning MCQs with Answers

625 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.

Last updated

Read the Quantitative Reasoning notesFree MDCAT chapter notes with key terms

625 questions · page 19 of 32

  • A. 3
  • B. 21
  • C. o41
  • D. 139

Explanation: Choice C is correct. Vertical angles, which are angles that are opposite each other when two lines intersect, are congruent.

Correct answer: o41
  • A. 16/21
  • B. 15/17
  • C. 17/15
  • D. 21/16

Explanation: The correct answer is 15/17. It's given that angle J is the right angle in triangle JKL.

Correct answer: 15/17
  • A. The median of data set B is equal to the median of data set A, and the range of data set B is equal to the range of data set A.
  • B. The median of data set B is equal to the median of data set A, and the range of data set B is greater than the range of data set A
  • C. The median of data set B is greater than the median of data set A, and the range of data set B is equal to the range of data set A
  • D. The median of data set B is greater than the median of data set A, and the range of data set Bis greater than the range of data set A.

Explanation: Choice C is correct. The median of a data set with an odd number of values, in ascending or descending order, is the middle value of the…

Correct answer: The median of data set B is greater than the median of data set A, and the range of data set B is equal to the range of data set A
  • A. 600
  • B. 650
  • C. 700
  • D. 800

Explanation: To find the value of p, we start with the equation 210 = (1 + p/100) * 30.

Correct answer: 600
  • A. The relationship cannot be determined from the information given.
  • B. Quantity B is greater than Quantity A.
  • C. Quantities A and B are equal.
  • D. Quantity A is greater than Quantity B.

Explanation: The conditions X < 0 and X > 9 cannot both be true simultaneously. This means there is no real number X that satisfies both conditions.

Correct answer: The relationship cannot be determined from the information given.
  • A. (iii) and (iv)
  • B. i and iv
  • C. ii and iv
  • D. (i) and (ii)

Explanation: To find the cost of a banana, we need to determine the price per banana from the given statements.Let's analyze which two statements…

Correct answer: (i) and (ii)
  • A. 32 °C
  • B. 36.5°C
  • C. 38.2
  • D. 213.3°C

Explanation: The conversion from Fahrenheit to Celsius is done using the formula: C = (F - 32) × 5/9.

Correct answer: 38.2
  • A. (17, -2)
  • B. (10, 6)
  • C. (6, 8)
  • D. (-10, 3)

Explanation: The correct answer is (-10, 3). In a graph where no axes or origin are shown, common practice is to assume a symmetrical relationship…

Correct answer: (-10, 3)
  • A. 7
  • B. 10
  • C. 15
  • D. 25

Explanation: To calculate the total number of outcomes, consider both the coin and the spinner.

Correct answer: 10
  • A. Quantity X is greater than Quantity Y.
  • B. Quantity Y is greater than Quantity X.
  • C. The relationship cannot be determined.
  • D. Quantity X and Quantity Y are equal.

Explanation: The key to solving this question is recognizing that percentage calculations are independent of the order in which they are applied when…

Correct answer: Quantity X and Quantity Y are equal.
  • A. 32m
  • B. 32m2
  • C. 64m
  • D. 64m2

Explanation: To find the perimeter of a square with an area of 64 square meters, you first calculate the side length.

Correct answer: 32m
  • A. 6 minutes
  • B. 9 minutes
  • C. 12 minutes
  • D. 15 minutes

Explanation: The key to solving this problem is understanding the concept of relative speed in circular motion.

Correct answer: 12 minutes
  • A. Is greater than 1.
  • B. Cannot be determined from the information given.
  • C. Is greater than b.
  • D. Is greater than a.

Explanation: The expression 1/b - 1/a - 1/ab involves variables a and b, and its value depends on particular values of these variables.

Correct answer: Cannot be determined from the information given.
  • A. 4c
  • B. 2c
  • C. c
  • D. c/4

Explanation: To solve the given problem, start by substituting the second equation into the first. We have 2a = 7b and 14b = c.

Correct answer: c/4
  • A. 8cm2
  • B. 4cm2
  • C. 6cm2
  • D. 2cm2

Explanation: The correct answer is 8cm2. To find the area of the shaded portion, accurately identify the shape and dimensions in the diagram.

Correct answer: 8cm2
  • A. Option A: A straight line of squares
  • B. Option B: A 2x2 square block
  • C. Option C: An L-shape with three squares
  • D. Option D: A zigzag pattern of squares

Explanation: Option D, the zigzag pattern, has the maximum perimeter because it exposes the most edges by alternating the direction of each square.

Correct answer: Option D: A zigzag pattern of squares