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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Read the Quantitative Reasoning notesFree MDCAT chapter notes with key terms625 questions · page 13 of 32
- A. I only
- B. II only
- C. I and II only
- D. I and III only
Explanation: Option C is correct because both ordered pairs (1, 1) and (2, 5) satisfy the inequality 5x − 3y < 4.
Correct answer: I and II only- A. -11
- B. -5
- C. -1
- D. 0
Explanation: To solve the equation (ax + 3)2 = 36 with x = −3 as a solution, substitute −3 for x to get (−3a + 3)2 = 36.
Correct answer: -1- A. Planetoids that are more distant from the Sun tend to have lesser densities.
- B. Planetoids that are more distant from the Sun tend to have greater densities.
- C. The density of a planetoid that is twice as far from the Sun as another planetoid is exactly half the density of that other planetoid.
- D. The distance from a planetoid to the Sun is unrelated to its density.
Explanation: Choice A is correct because the scatterplot's line of best fit has a negative slope, indicating a negative correlation between the…
Correct answer: Planetoids that are more distant from the Sun tend to have lesser densities.- A. 75 - s = c20s + 30c = 1,870
- B. 75 - s = c30s + 20c = 1,870
- C. s - c = 7525(s + c) = 1,870
- D. s - c = 7530s + 20c = 1,870
Explanation: Choice A is correct because it correctly sets up the system of equations based on the information provided.
Correct answer: 75 - s = c20s + 30c = 1,870- A. Theresa ran at a constant speed for five minutes.
- B. Theresa's speed was increasing for a longer period of time than it was decreasing.
- C. Theresa's speed decreased at a constant rate during the last five minutes.
- D. Theresa's speed reached its maximum during the last ten minutes.
Explanation: Choice B is correct. Theresa's speed was increasing from 0 to 5 minutes and from 20 to 25 minutes, which is a total of 10 minutes.
Correct answer: Theresa's speed was increasing for a longer period of time than it was decreasing.- A. 45
- B. 90
- C. 100
- D. 105
Explanation: Choice D is correct. A quadrilateral's interior angles sum up to 360°. To find x, set up the equation 45 + 3x = 360.
Correct answer: 105- A. w = 30A − 4
- B. w = 30A + 4
- C. w = 30(A − 4)
- D. w = 30(A + 4)
Explanation: To solve for w in terms of A, start with the given formula A = 4 + w / 30.
Correct answer: w = 30A − 4- A. The initial height, in feet, of the object
- B. The maximum height, in feet, of the object
- C. The initial speed, in feet per second, of the object
- D. The maximum speed, in feet per second, of the object
Explanation: Choice A is correct. The variable t represents the seconds after the object is launched.
Correct answer: The initial height, in feet, of the object- A. k = 0.24x
- B. k = 4.2x
- C. x = 4.2k
- D. xk = 4.2
Explanation: Choice B is correct because the relationship between x food calories and k kilojoules is best described by a proportional relationship.
Correct answer: k = 4.2x- A. f = 20 + 4/9 (p + c)
- B. f = 20 - 4/9 (p + c)
- C. f = 20 - 4/9 (p - c)
- D. f = 20 + 9/4 (p + c)
Explanation: Choice B is correct. It is given that there are 4.0 food calories per gram of protein, 9.0 food calories per gram of fat, and 4.0 food…
Correct answer: f = 20 - 4/9 (p + c)- A. 6
- B. 8
- C. 9
- D. 10
Explanation: The correct answer is 6. Since tan B = 3/4 , ΔABC and ΔDBE are both 3-4-5 triangles.
Correct answer: 6- A. d = 2m
- B. d = 1/2m
- C. d = m + 2
- D. d = 2m + 2
Explanation: Choice A is correct. The line passes through the origin. Therefore, this is a relationship of the form d = km, where k is a constant…
Correct answer: d = 2m- A. P = 6E - O - 4M
- B. P = -6E + O + 4M
- C. P = O + 4M + E / 6
- D. P = O + 4M - E / 6
Explanation: Choice A is correct. Multiplying both sides of the equation by 6 results in 6E = O + 4M + P.
Correct answer: P = 6E - O - 4M- A. 72
- B. 66
- C. 64
- D. 58
Explanation: Choice C is correct. To solve for x, first recognize that ∆RTU is an isosceles triangle since RT = TU.
Correct answer: 64- A. 2w + 6
- B. 4w + 12
- C. w2 + 6
- D. w2 + 6w
Explanation: Choice B is correct. It is given that the width of the dance floor is w feet.
Correct answer: 4w + 12- A. y > 6
- B. y > 4
- C. y > 5/2
- D. y > 3/2
Explanation: Choice B is correct. Subtracting the same number from each side of an inequality gives an equivalent inequality.
Correct answer: y > 4- A. 30
- B. 20
- C. 19
- D. 18
Explanation: Choice C is correct. Let x represent the number of 2-person tents and let y represent the number of 4-person tents.
Correct answer: 19- A. 140
- B. 142
- C. 144
- D. 148
Explanation: To find the value of x, note that the length of arc BC is 2/5 of the circle's circumference.
Correct answer: 144- A. Between 1 and 2 months
- B. Between 2 and 3 months
- C. Between 3 and 4 months
- D. Between 4 and 5 months
Explanation: The correct answer is Option C: Between 3 and 4 months. The graph shows that the line segment between 3 and 4 months is the steepest among…
Correct answer: Between 3 and 4 months- A. 120
- B. 100
- C. 90
- D. 80
Explanation: The correct answer is Choice B: 100. The parallel lines and the transversal create corresponding angles, so a = y = 20°.
Correct answer: 100