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.

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625 questions · page 20 of 32

  • A. 10%
  • B. 20%
  • C. 25%
  • D. 30%

Explanation: This is the correct answer. The shaded area is exactly 25% less than the un-shaded area.if we count the full figure (it's a 2×4…

Correct answer: 25%
  • A. 35°
  • B. 45°
  • C. 65°
  • D. 75°

Explanation: 65° is correct. It satisfies the angle relationships in the diagram.The two slanted lines meet above the horizontal line, forming a…

Correct answer: 65°
  • A. 9: 25
  • B. 18: 50
  • C. 27: 75
  • D. 27: 125

Explanation: The volume of a cube is determined by cubing the length of its side. Therefore, if the ratio of the lengths of the sides of two cubes is…

Correct answer: 27: 125
  • A. I only
  • B. II only
  • C. I and II only
  • D. II and III only

Explanation: To determine the possible distances between Cottage A and Cottage C, apply the triangle inequality theorem.

Correct answer: II and III only
  • A. Will be 1
  • B. Will be 2
  • C. Will be 4
  • D. Cannot be determined

Explanation: The original cube has a volume of 8 cubic centimeters. Since the volume (V) of a cube is given by V = side^3, each side of the original…

Correct answer: Will be 1
  • A. 10
  • B. 13
  • C. 24
  • D. 26

Explanation: The vehicle is inclined 26 units up the ramp. We know that for a ramp length of 13 units (from our slope ratio calculation), the vertical…

Correct answer: 10
  • A. 45%
  • B. 0.5
  • C. 3/4
  • D. 0.666

Explanation: A) 45%: To convert a percentage to a decimal, divide by 100. 45% = 45 / 100 = 0.45 * B) 0.5: This is already in decimal form.

Correct answer: 3/4
  • A. A square with side length equal to the diameter of the circle
  • B. A rectangle with length equal to the diameter of the circle and width equal to half the radius
  • C. A triangle with a base equal to the circle's diameter and height equal to the radius
  • D. A parallelogram with base equal to the circle's diameter and height equal to the radius

Explanation: The correct answer is the triangle with a base equal to the circle's diameter and height equal to the radius.

Correct answer: A triangle with a base equal to the circle's diameter and height equal to the radius
  • A. 5
  • B. 6
  • C. 24
  • D. 25

Explanation: To find the least number of teachers, we need to equate the fractions of teachers and seats. Let T represent the number of teachers.

Correct answer: 24
  • A. 0.3, 1/5 and 15%
  • B. 15%, 1/5 and 0.3
  • C. 0.3, 15% and 1/5
  • D. 1/5, 0.3 and 15%

Explanation: To solve this question, convert each value to a decimal:0.3 is already a decimal.1/5 = 0.215% = 15/100 = 0.15Now, arrange them in…

Correct answer: 15%, 1/5 and 0.3
  • A. 27
  • B. 35
  • C. 39
  • D. 43

Explanation: The given sequence is an arithmetic progression (AP) with the first term a = 3 and a common difference d = 4.

Correct answer: 39
  • A. (4, 5)
  • B. (0, 4)
  • C. (0, 0)
  • D. (5, 0)

Explanation: The correct answer is (4, 5) because this is the point where the linear and nonlinear graphs intersect, indicating that it satisfies both…

Correct answer: (4, 5)
  • A. Decreasing linear
  • B. Increasing linear
  • C. Decreasing exponential
  • D. Increasing exponential

Explanation: The correct answer is Option B: Increasing linear. In a table where function f is described as increasing linear, each increase in input…

Correct answer: Increasing linear
  • A. 29
  • B. 30
  • C. 39
  • D. 49

Explanation: The correct answer is 29. The range of a data set is the difference between its maximum value and its minimum value.

Correct answer: 29
  • A. s ≥ 2.4
  • B. s ≥ 1.8
  • C. 0 ≤ s ≤ 0.6
  • D. 0.6 ≤ s ≤ 1.8

Explanation: Choice D is correct. It's given that for a snowstorm in a certain town, the minimum rate of snowfall recorded was 0.6 inches per hour, the…

Correct answer: 0.6 ≤ s ≤ 1.8
  • A. 132π
  • B. 264π
  • C. 726π
  • D. 2,904π

Explanation: Choice C is correct. The volume, V, of a right circular cylinder is given by the formula V = πr²h, where r is the radius of the base of…

Correct answer: 726π
  • A. x/26
  • B. 26x
  • C. x+26
  • D. 26/x

Explanation: The correct answer is 26x. The ratio of coaches to athletes is 1 to 26, meaning for every coach, there are 26 athletes.

Correct answer: 26x