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 11 of 32
- A. 82
- B. 84
- C. 85
- D. 79
Explanation: To determine the median, we need to arrange the numbers in ascending order.
Correct answer: 82- A. Cubic
- B. Exponential
- C. Linear
- D. Quadratic
Explanation: If the graph is plotted, it is shown to be a straight line.
Correct answer: Linear- A. y = 6x - 2
- B. y = 3x + 2
- C. y = 3x-2
- D. y = -6x - 4
- E. y = −6x - 4
Explanation: To convert the equation 6x - 2y - 4 = 0 into slope-intercept form (y = mx + b), isolate y by moving all terms not containing y to the…
Correct answer: y = 3x-2- A. x = -21 only
- B. x = -7 or x = 3
- C. x = -3 or x = 7/3
- D. x = -7/3 or x = -3
- E. x= 3 or x = -7/3
Explanation: Split the middle term into two terms: 3x²-9x+7x-21=0 Factor the first two terms and the last two terms separately: 3x(x-3)+7(x-3)=0 Factor…
Correct answer: x= 3 or x = -7/3- A. (4x - 3) AND (5x + 2)
- B. (4x^2) AND (5x + 3)
- C. (4x + 2) AND (5x - 3)
- D. (4x + 3) AND (5x - 2)
- E. (4x + 3) AND (5x + 2)
Explanation: To find the factors of the quadratic equation ax2 + bx + c = 0, use the solutions x = 3/4 and x = -2/5.
Correct answer: (4x - 3) AND (5x + 2)- A. 81.0
- B. 92.0
- C. 94.0
- D. 94.4
- E. 96.6
Explanation: As shown in the explanation As shown in the explanationWe are given:Average of original list = 92.0Number of values = 4So, sum of original…
Correct answer: 94.0- A. m + 3
- B. m + 1
- C. m + 2
- D. m
Explanation: The arithmetic mean of 9 consecutive integers starting with m is calculated as the middle integer, which is the 5th integer in the…
Correct answer: m + 3- A. 5
- B. 8
- C. 9
- D. 10
- E. 11
Explanation: Simplify LHS.. (3x+2)(2x−5)=6x2−11x−10=ax2−n+k equate the coefficients... a=6 ; k = -11 and n = -10.. so a−n+k=6−(−10)+(−11)=6+10−11=5
Correct answer: 5- A. x-y=-4
- B. x-y=4
- C. x+y=4
- D. x+y=-4
Explanation: The equation x+y=-4 is correct because it matches the required slope and y-intercept of line l.
Correct answer: x+y=-4- A. 2
- B. 6
- C. 10
- D. 12
Explanation: To find where the graph crosses the y-axis, substitute x = 0 into y = 2x2 + 10x + 12.
Correct answer: 12211. |14| * |-2|=?
- A. -28
- B. -16
- C. -12
- D. 16
- E. 28
Explanation: Matrices can be multiplied, the correct method gives the answer as such.
Correct answer: 28- A. 2
- B. 4
- C. 6
- D. 8
Explanation: Test each of the answer choices, making sure to include the negative possibilities.
Correct answer: 8- A. 1
- B. 2
- C. 3
- D. 4
- E. 5
Explanation: To find the distance between these two points, we can use the distance formula: d = |x₂ - x₁| where x₁ = -1 and x₂ = -4.
Correct answer: 3- A. It has a negative slope and a positive y-intercept.
- B. It has a positive slope and a negative y-intercept.
- C. It has a positive slope and a positive y-intercept.
- D. It has a negative slope and a negative y-intercept.
Explanation: The graph of the equation 2y - 3x = -4 has a positive slope and a negative y-intercept.
Correct answer: It has a positive slope and a negative y-intercept.- A. -5
- B. 1
- C. 5
- D. -1
Explanation: Now, to find the value of |a-b|, we can use the absolute value of the difference between a and b.
Correct answer: 5- A. A
- B. B
- C. C
- D. D
Explanation: Choice D is correct because it provides a model in the form of an increasing curve that closely follows the trend of the data points in…
Correct answer: D- A. 150 ≤ s ≤ 170
- B. s < 150
- C. s > 170
- D. s < 150 or s > 170
Explanation: The correct answer is 150 ≤ s ≤ 170. This inequality accurately represents the range of the cruising speed as described in the problem.
Correct answer: 150 ≤ s ≤ 170- A. A
- B. B
- C. C
- D. D
Explanation: Choice A is correct. In each choice, the values of x are 2, 4, and 6. Substituting the first value of x, 2, for x in the given inequality…
Correct answer: A- A. x4 + 23x2 - 14
- B. x4 + 23x2 + 96
- C. x4 + 12x2 +121
- D. x4 + x2 + 146
Explanation: Choice B is correct. The expression (x2 + 11)2 can be written as (x2 + 11)(x2 + 11), which is equivalent to x2(x2 + 11) + 11(x2 + 11).
Correct answer: x4 + 23x2 + 96- A. y = 2x + 18
- B. y = 2x + 8
- C. y = 8x + 2
- D. y = 3x + 26
Explanation: Choice C is correct. It's given that the relationship between x and y is linear.
Correct answer: y = 8x + 2