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 28 of 32
- A. 56
- B. 62
- C. 63
- D. 64
Explanation: The rule is to square the number and subtract 1. Thus, 8² - 1 = 64 - 1 = 63.
Correct answer: 63- A. 72
- B. 78
- C. 84
- D. 90
Explanation: The second number is the triangular number of the first, found by n × (n + 1) ÷ 2. Thus, 12 × 13 ÷ 2 = 78.
Correct answer: 78- A. 27
- B. 31
- C. 32
- D. 35
Explanation: Multiply the first number by 3, then add 4. Applying the same rule gives 9 × 3 + 4 = 31.
Correct answer: 31- A. 37
- B. 42
- C. 43
- D. 49
Explanation: The rule is n² + n + 1. For 6, this gives 6² + 6 + 1 = 36 + 6 + 1 = 43.
Correct answer: 43- A. 4
- B. 5
- C. 6
- D. 7
Explanation: The first number is divided by 3 to get the second number: 9 ÷ 3 = 3. Applying the same rule, 15 ÷ 3 = 5.
Correct answer: 5- A. a) 10 years
- B. c) 12 years
- C. b) 11 years
- D. d) 13 years
Explanation: The brother is 3 years older than Sara, so add 3 to 9. His age is 12 years.
Correct answer: c) 12 years- A. a) 8 books
- B. c) 12 books
- C. b) 10 books
- D. d) 14 books
Explanation: The ratio has 7 total parts. Each part is 35 ÷ 7 = 5, so the 2 red parts contain 10 books.
Correct answer: b) 10 books- A. a) 8 minutes
- B. b) 9 minutes
- C. d) 12 minutes
- D. c) 10 minutes
Explanation: The worker packs 2 boxes per minute. Packing 20 boxes therefore takes 20 ÷ 2 = 10 minutes.
Correct answer: c) 10 minutes- A. c) Friday
- B. b) Thursday
- C. a) Wednesday
- D. d) Saturday
Explanation: Seven days later it is Tuesday again, and three more days later it is Friday. Thus, 10 days after Tuesday is Friday.
Correct answer: c) Friday- A. a) 18 years
- B. c) 36 years
- C. b) 27 years
- D. d) 42 years
Explanation: The two equal age parts are 54 ÷ 3 = 18 years. The father has two parts, so he is 36 years old.
Correct answer: c) 36 years- A. a) 11 times
- B. c) 13 times
- C. b) 12 times
- D. d) 14 times
Explanation: There is one 1 in the number 1, ten occurrences in 10 through 19, and one extra 1 in 11. The total is 12.
Correct answer: b) 12 times- A. a) 1 hour
- B. b) 1.5 hours
- C. d) 2.5 hours
- D. c) 2 hours
Explanation: Ali completes 1/6 of the job per hour and Ahmed completes 1/3. Together they complete 1/2 per hour, so the job takes 2 hours.
Correct answer: c) 2 hours- A. a) 24 students
- B. b) 28 students
- C. d) 36 students
- D. c) 32 students
Explanation: Let the original numbers be 3x and 5x. Then (3x + 6) ÷ 5x = 9 ÷ 10, giving x = 4. The original total was 8x = 32.
Correct answer: c) 32 students- A. b) 11:00 a.m.
- B. a) 10:48 a.m.
- C. c) 11:12 a.m.
- D. d) 11:15 a.m.
Explanation: In 4 actual hours, the clock gains 4 × 3 = 12 minutes. Starting at 7:00, it will show 11:12 when the actual time is 11:00.
Correct answer: b) 11:00 a.m.- A. a) 20 years
- B. b) 25 years
- C. c) 30 years
- D. d) 35 years
Explanation: Let Fatima's present age be F and Ahmed's be A. The equations A - 5 = 2(F - 5) and A + 5 = 1.5(F + 5) give F = 15 and A = 25.
Correct answer: b) 25 years- A. 40 rupees
- B. 50 rupees
- C. 60 rupees
- D. 70 rupees
Explanation: Multiply the price of one notebook by the number bought: 20 × 3 = 60 rupees.
Correct answer: 60 rupees- A. 0.3 litres
- B. 0.5 litres
- C. 0.7 litres
- D. 1.0 litres
Explanation: Divide the total amount by the number of glasses: 1.5 ÷ 3 = 0.5 litres per glass.
Correct answer: 0.5 litres- A. 10
- B. 12
- C. 14
- D. 16
Explanation: Remove the added 7 first: 31 − 7 = 24. Then divide by 2, giving 12.
Correct answer: 12- A. 8:20 p.m.
- B. 8:10 p.m.
- C. 8:30 p.m.
- D. 8:40 p.m.
Explanation: Adding 1 hour to 6:45 gives 7:45. Adding another 35 minutes gives 8:20 p.m.
Correct answer: 8:20 p.m.- A. 140 degrees
- B. 150 degrees
- C. 160 degrees
- D. 170 degrees
Explanation: The minute hand is at 240 degrees, while the hour hand is at 80 degrees. Their difference is 160 degrees.
Correct answer: 160 degrees