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 30 of 32
581. A tap fills 12 litres in 4 minutes at a constant rate. How long will it take to fill 30 litres?
- A. 8 minutes
- B. 9 minutes
- C. 10 minutes
- D. 12 minutes
Explanation: The tap fills 12 divided by 4, or 3 litres per minute. Filling 30 litres therefore takes 30 divided by 3, which is 10 minutes.
Correct answer: 10 minutes- A. 10:17 a.m.
- B. 10:25 a.m.
- C. 10:35 a.m.
- D. 10:45 a.m.
Explanation: The first journey ends at 9:25, and the stop ends at 9:43. Adding the final 52 minutes gives an arrival time of 10:35 a.m.
Correct answer: 10:35 a.m.- A. 96 litres
- B. 120 litres
- C. 144 litres
- D. 168 litres
Explanation: The added 24 litres represent one-fifth of the tank. Multiplying 24 by 5 gives a total capacity of 120 litres.
Correct answer: 120 litres- A. 47
- B. 56
- C. 38
- D. 74
Explanation: The reversed number is larger, so the tens digit exceeds the units digit by 3, because 27 divided by 9 is 3.
Correct answer: 47- A. 9 coins
- B. 10 coins
- C. 11 coins
- D. 12 coins
Explanation: If all 26 coins were worth 5 rupees, they would total 130 rupees. The extra 55 rupees comes from 10-rupee coins, each adding 5 rupees, so…
Correct answer: 11 coins- A. 20
- B. 22
- C. 26
- D. 28
Explanation: Replace + with multiplication and - with addition. The expression becomes 8 × 2 + 6 = 22.
Correct answer: 22- A. 1
- B. 2
- C. 5
- D. 10
Explanation: The expression becomes 18 ÷ 3 - 4. Division comes first, giving 6 - 4 = 2.
Correct answer: 2- A. 24
- B. 26
- C. 30
- D. 38
Explanation: After substitution, the expression is 18 ÷ 3 × 4 + 2. Working from left to right for division and multiplication gives 24 + 2 = 26.
Correct answer: 26- A. 25
- B. 27
- C. 29
- D. 31
Explanation: The substituted expression is 24 + 6 ÷ 4 × 2. Division and multiplication are done left to right, so 24 + 3 = 27.
Correct answer: 27- A. 3
- B. 4
- C. 5
- D. 6
Explanation: First substitute the signs to get (18 ÷ 3) + 2 - 4. The result is 6 + 2 - 4 = 4.
Correct answer: 4- A. + and -
- B. + and ×
- C. × and -
- D. - and ÷
Explanation: Interchanging × and - gives 8 + 4 - 3 × 2 ÷ 1. Applying BODMAS gives 8 + 4 - 6 = 6.
Correct answer: × and -- A. 34
- B. 36
- C. 38
- D. 40
Explanation: The expression becomes 30 - 6 ÷ 3 + 4 × 2. BODMAS gives 30 - 2 + 8 = 36.
Correct answer: 36- A. + and ×
- B. ÷ and -
- C. × and -
- D. + and ÷
Explanation: Interchanging ÷ and - gives 16 + 8 - 4 × 3 ÷ 2. Multiplication and division give 6, so the result is 16 + 8 - 6 = 18.
Correct answer: ÷ and -- A. + and -
- B. + and ÷
- C. × and -
- D. × and ÷
Explanation: Interchanging × and - gives (20 + 4) - 3 × 8 ÷ 2. BODMAS gives 24 - 12 = 12, so this interchange is correct.
Correct answer: × and -- A. 12
- B. 4
- C. 20
- D. 23
Explanation: Replace the signs first: 20 + 5 - 3 becomes 20 ÷ 5 × 3. Working from left to right for equal-priority operations gives 4 × 3 = 12.
Correct answer: 12- A. 18
- B. 34
- C. 13
- D. 36
Explanation: After substitution, the expression is 9 × 4 ÷ 2. BODMAS gives 36 ÷ 2, which equals 18.
Correct answer: 18- A. 14
- B. 21
- C. 17
- D. 30
Explanation: Substitution changes the expression to 26 - 8 × 3 ÷ 2. Multiplication and division first give 12, so 26 - 12 = 14.
Correct answer: 14- A. 2
- B. 11
- C. 14
- D. 18
Explanation: The substituted expression is 48 ÷ 6 - 3 × 2. BODMAS gives 8 - 6, so the value is 2.
Correct answer: 2- A. Multiplication and division
- B. Plus and multiplication
- C. Minus and division
- D. Plus and minus
Explanation: Swap plus and minus to obtain 14 - 6 × 2 + 4 ÷ 2. BODMAS gives 14 - 12 + 2 = 4, making the equation true.
Correct answer: Plus and minus- A. Minus and plus
- B. Plus and multiplication
- C. Minus and division
- D. Multiplication and division
Explanation: Swapping minus and plus gives 40 + 8 - 6 × 2 ÷ 4. Multiplication and division give 3, so 48 - 3 = 45.
Correct answer: Minus and plus