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 15 of 32
- A. 5
- B. 10
- C. 15
- D. 20
Explanation: The correct answer is 15. To determine the percentage decrease, you use the formula: (Reduction Amount / Original Amount) * 100.
Correct answer: 15- A. -3
- B. 0
- C. 1
- D. -3 and -1
Explanation: Choice A is correct. Factoring the numerator of the rational expression x2 − 1/ x − 1 yields (x + 1)(x − 1) / x − 1 .
Correct answer: -3- A. 12/5
- B. 12/13
- C. 5/12
- D. 5/13
Explanation: Choice B is correct. Since figures are drawn to scale unless otherwise stated and triangle ABC is similar to triangle DEF, it follows that…
Correct answer: 12/13- A. I only
- B. II only
- C. I and II
- D. Neither I nor II
Explanation: Choice B is correct. Squaring both sides of the equation √4x = x − 3 yields 4x = (x − 3)2 , or 4x = (x − 3)(x − 3).
Correct answer: II only285. 2x + 3y = 12003x + 2y = 1300Based on the system of equations above, what is the value of 5x + 5y?
- A. 2200
- B. 2300
- C. 2400
- D. 2500
Explanation: To find the value of 5x + 5y, add the two equations: (2x + 3y) + (3x + 2y) = 1200 + 1300. This simplifies to 5x + 5y = 2500.
Correct answer: 2500- A. 5
- B. 10
- C. 15
- D. 20
Explanation: The correct answer is 20. Begin by recognizing that u2 − t2 can be factored as (u − t)(u + t).
Correct answer: 20- A. A
- B. B
- C. C
- D. D
Explanation: Choice B is correct because it accurately follows the sequence of events described.
Correct answer: B- A. 4x = 108
- B. 4x = 24
- C. 4x = 12
- D. 4x = 3
Explanation: Choice C is correct. Subtracting 6 from both sides of the given equation yields 4x = 12 , which is the equation given in choice C.
Correct answer: 4x = 12- A. 10t ≤ 75
- B. 10 + 25t ≤ 75
- C. 25t ≤ 75
- D. 25 + 10t ≤ 75
Explanation: Choice D is correct. The cost of the rental fee depends on the number of hours the surfboard is rented.
Correct answer: 25 + 10t ≤ 75- A. 1/14
- B. 2/14
- C. 12/14
- D. 13/14
Explanation: Choice A is correct. The total number of possible outcomes for rolling a fair 14-sided die is 14.
Correct answer: 1/14- A. 2520
- B. 3520
- C. 1250
- D. 2000
Explanation: The correct answer is 2,520. There are 60 minutes in one hour. At a rate of 42 posters per minute, the number of posters produced in one…
Correct answer: 2520- A. 4xy = 70
- B. 4(x + y ) = 70
- C. 3x + y = 70
- D. x +3y = 70
Explanation: Choice D is correct. Since x represents the number of 1-point questions and y represents the number of 3-point questions, the assignment…
Correct answer: x +3y = 70- A. 37°
- B. 53°
- C. 127°
- D. 143°
Explanation: Choice B is correct. It's given that triangle LMN is similar to triangle PQR. Corresponding angles of similar triangles are congruent.
Correct answer: 53°- A. y = -1.9x - 10.1
- B. y = -1.9x + 10.1
- C. y = 1.9x - 10.1
- D. y = 1.9x + 10.1
Explanation: Choice B is correct. The equation representing a linear model can be written in the form y = a + bx , or y = bx + a, where b is the slope…
Correct answer: y = -1.9x + 10.1- A. The average number of trees per hectare in the park
- B. The average number of trees per hectare in the residential area
- C. The total number of trees in the park
- D. The total number of trees in the residential area
Explanation: The correct answer is that x represents the average number of trees per hectare in the park.
Correct answer: The average number of trees per hectare in the park- A. 404
- B. 7,674
- C. 710,459
- D. 13,505,536
Explanation: The correct answer is 13,505,536 square yards. To find the area of the town in square yards, remember that 1 mile equals 1,760 yards.
Correct answer: 13,505,536- A. It is unlikely that less than 23% of the students see a movie at least once per month.
- B. At least 23%, but no more than 25%, of the students see a movie at least once per month.
- C. The researcher is between 19% and 27% sure that most students see a movie at least once per month.
- D. It is plausible that the percentage of students who see a movie at least once per month is between 19% and 27%.
Explanation: Choice D is correct. The margin of error is used to calculate a confidence interval around the sample statistic, in this case, 23%.
Correct answer: It is plausible that the percentage of students who see a movie at least once per month is between 19% and 27%.- A. The means are the same, and the standard deviations are different.
- B. The means are the same, and the standard deviations are the same.
- C. The means are different, and the standard deviations are different.
- D. The means are different, and the standard deviations are the same.
Explanation: Choice A is correct. The mean number of each list is found by dividing the sum of all the numbers in each list by the count of the numbers…
Correct answer: The means are the same, and the standard deviations are different.- A. 2√3
- B. 6
- C. 12
- D. 36
Explanation: To find the radius of the cone's base, use the formula V = 1/3 πr2h. Substituting the given values, you get 24π = (2π/3)r2.
Correct answer: 6- A. 60,000
- B. 90,000
- C. 160,000
- D. 240,000
Explanation: To solve the problem, start with City X. It had a population of 120,000 in 2010, and with a 20% increase, its population in 2015 was…
Correct answer: 160,000