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 14 of 32
- A. (75B) + (40L) = 1,950B + L = 350
- B. 40B + 75L = 19,250B + L = 350
- C. 75B + 40L = 350B + L = 19,250
- D. 75B + 40L = 19,250B + L = 350
Explanation: Choice D is correct. Since only two types of tickets were sold and a total of 350 tickets were sold, the sum of the numbers of both types…
Correct answer: 75B + 40L = 19,250B + L = 350- A. 2.52
- B. 7.67
- C. 7.79
- D. 10.11
Explanation: The glass can hold a maximum volume of 473 cubic centimeters. By substituting this volume into the formula V = 7πk3/48 and solving for k…
Correct answer: 10.11- A. A
- B. B
- C. C
- D. D
Explanation: Option C is the correct choice. The initial rapid increase in water height corresponds to the glass's narrow base, which causes the water…
Correct answer: C- A. x + y < 5750,000 x + 100,000 y < 3,000,000
- B. x + y > 5750,000 x + 100,000 y > 3,000,000
- C. x + y < 5750,000 x + 100,000 y > 3,000,000
- D. x + y > 5750,000 x + 100,000 y < 3,000,000
Explanation: Choice C is correct. Since Roberto sells only two types of policies and he didn't meet his goal of selling at least 57 policies, the sum…
Correct answer: x + y < 5750,000 x + 100,000 y > 3,000,000- A. 11/18
- B. 11/50
- C. 9/50
- D. 11/100
Explanation: Choice B is correct. A total of 150 adults received the sugar pill. Of those, 33 reported contracting a cold.
Correct answer: 11/50- A. 25,000 > (4,334 − 2,712)t
- B. 25,000 < (4,334 − 2,712)t
- C. 25,000 − 4,334 > 2,712t
- D. 25,000 > (4,332/2,712)t
Explanation: Choice B is correct. The savings each year from installing the geothermal heating system will be the average annual energy cost for the…
Correct answer: 25,000 < (4,334 − 2,712)t- A. s1 = s2 and r1 = r2
- B. s1 < s2 and r1 < r2
- C. s1 > s2 and r1 > r2
- D. s1 ≠ s2 and r1 = r2
Explanation: Choice D is correct. The two data sets have the same range. The first data set has a range of 88 − 56 = 32, and the second data set has a…
Correct answer: s1 ≠ s2 and r1 = r2268. In triangle RST above, point W (not shown) lies on RT. What is the value of cos(∠RSW ) − sin(∠WST )?
- A. 0
- B. 1
- C. 2
- D. 3
Explanation: The correct answer is 0. Note that no matter where point W is on _ RT, the sum of the measures of ∠RSW and ∠WST is equal to the measure of…
Correct answer: 0- A. -1
- B. 4
- C. 5
- D. 20
Explanation: Choice B is correct. Multiplying both sides of the first equation in the system by 2 yields 4x − 2y = 16.
Correct answer: 4270. The circle has center O, the length of arc ADC is 5π, and x = 100. What is the length of arc ABC?
- A. 9π
- B. 13π
- C. 18π
- D. 13/2π
Explanation: Choice B is correct. To find the length of arc ABC, first determine the measure of the central angle that subtends it.
Correct answer: 13π- A. (2x + 5)/(2x + 1)
- B. (2x + 6)/(2x + 1)
- C. (10x + 5)/(2x + 1)
- D. 10x + 6/2x + 1
Explanation: The correct answer is (10x + 6)/(2x + 1). To solve the expression (1/(2x+1)) + 5, you must first express the whole number 5 as a fraction…
Correct answer: 10x + 6/2x + 1- A. 350
- B. 360
- C. 370
- D. 380
Explanation: To find the volume of a right rectangular prism, you need to multiply its length, width, and height.
Correct answer: 360- A. 1/4
- B. 2/4
- C. 3/4
- D. 5/4
Explanation: The correct answer is 3/4, or 0.75. By definition of the sine ratio, since sin R = 4/5, PQ/PR = 4/5.
Correct answer: 3/4- A. Between 0 and 10 minutes
- B. Between 30 and 40 minutes
- C. Between 50 and 60 minutes
- D. Between 90 and 100 minutes
Explanation: The correct answer is Choice A: Between 0 and 10 minutes. This interval shows the greatest decrease in temperature, meaning the average…
Correct answer: Between 0 and 10 minutes- A. 100
- B. 90
- C. 80
- D. 60
Explanation: Choice C is correct. The problem gives that x = 100, which is the measure of one angle in triangle ABC.
Correct answer: 80- A. 2
- B. 4
- C. 5
- D. 6
Explanation: Choice C is correct. Let a equal the number of 120-pound packages, and let b equal the number of 100-pound packages.
Correct answer: 5- A. 6
- B. 10
- C. 13
- D. 17
Explanation: The correct answer is 13. To solve the system, multiply the first equation, 2w + 4t = 14, by 2 to obtain 4w + 8t = 28.
Correct answer: 13- A. 1/8 cup
- B. 1/4 cup
- C. 1/3 cup
- D. 1/2 cup
Explanation: Choice B is correct. It's given that a 3/4 cup serving of Crunch cereal provides 210 calories.
Correct answer: 1/4 cup- A. The percentages do not add up to 100%, so any possible conclusions from the poll are invalid.
- B. Those who responded to the poll were not a random sample of the population of the United States.
- C. A balanced 50% "Yes" and 50% "No" response was not achieved.
- D. The show did not provide enough time for viewers to respond to the poll.
Explanation: The correct answer is that the respondents to the poll were not randomly selected from the population of the United States.
Correct answer: Those who responded to the poll were not a random sample of the population of the United States.- A. cos x° = a
- B. sin (90o - xo) = a
- C. cos (90o - xo ) = a
- D. sin (x2)° = a2
Explanation: Choice C is correct. The sine of an angle is equal to the cosine of the angle's complement.
Correct answer: cos (90o - xo ) = a