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 31 of 32
- A. 148
- B. 40
- C. 72
- D. 152
Explanation: Substitute the signs to get (42 - 6) × (8 ÷ 2) + 4. The brackets give 36 and 4, so 36 × 4 + 4 = 148.
Correct answer: 148- A. Multiplication and minus
- B. Plus and division
- C. Plus and minus
- D. Multiplication and division
Explanation: Interchange plus and minus: (18 - 6) × 2 + 4 ÷ 2. BODMAS gives 12 × 2 + 2 = 26, while the other listed swaps do not give 26.
Correct answer: Plus and minus- A. 26
- B. 22
- C. 16
- D. 12
Explanation: Replace the signs first: 7 + 3 - 5 becomes 7 × 3 + 5. Applying BODMAS gives 21 + 5 = 26.
Correct answer: 26- A. 18
- B. 24
- C. 30
- D. 42
Explanation: After substitution, the expression is 36 ÷ 6 × 4. Division and multiplication are done from left to right, giving 6 × 4 = 24.
Correct answer: 24- A. 9
- B. 12
- C. 15
- D. 21
Explanation: The substituted expression is 18 - 6 ÷ 2 × 3. Division and multiplication give 9, so the final result is 18 - 9 = 9.
Correct answer: 9- A. 6
- B. 8
- C. 10
- D. 12
Explanation: Replace the signs to get 20 × 3 ÷ 6 - 2. Working from left to right for multiplication and division gives 10 - 2 = 8.
Correct answer: 8- A. 14
- B. 16
- C. 18
- D. 20
Explanation: The expression becomes 48 ÷ 6 + 4 × 2. BODMAS gives 8 + 8, so the answer is 16.
Correct answer: 16- A. + and ×
- B. + and -
- C. × and -
- D. - and the number 6
Explanation: Interchanging × and - gives 15 + 4 - 2 × 6. This equals 15 + 4 - 12 = 7, while the other sign pairs do not give 7.
Correct answer: × and -- A. 32
- B. 35
- C. 38
- D. 40
Explanation: Inside the brackets, the expression becomes 30 - 8 ÷ 4 = 28. The remaining signs give 28 + 2 × 5 = 38.
Correct answer: 38- A. - and ×
- B. + and -
- C. × and ÷
- D. + and ÷
Explanation: Swap - and × to obtain (24 + 6) ÷ 3 × 2 - 4. BODMAS gives 30 ÷ 3 × 2 - 4 = 16.
Correct answer: - and ×- A. 13
- B. 15
- C. 17
- D. 19
Explanation: After substitution, it is (48 ÷ 8) × 3 - 4 + 2 ÷ 2. This becomes 6 × 3 - 4 + 1 = 15.
Correct answer: 15- A. + and ×
- B. + and -
- C. + and ÷
- D. - and ×
Explanation: Swap + and -. The equation becomes (24 - 8) × 3 + 6 ÷ 2 + 1, which equals 48 + 3 + 1 = 52. The other listed swaps give different results.
Correct answer: + and -- A. 24
- B. 27
- C. 30
- D. 33
Explanation: Replace the signs first: 18 × 3 ÷ 2. Multiplication and division are done from left to right, giving 27.
Correct answer: 27- A. 20
- B. 22
- C. 24
- D. 26
Explanation: The expression becomes 25 - 7 + 4. Working from left to right gives 18 + 4, which equals 22.
Correct answer: 22- A. 45
- B. 48
- C. 51
- D. 54
Explanation: After substitution, the expression is 24 × 8 ÷ 4 + 3. Applying BODMAS gives 48 + 3, so the answer is 51.
Correct answer: 51- A. 11
- B. 13
- C. 15
- D. 17
Explanation: Substitution gives (45 ÷ 5) - 3 + 7. The bracket is 9, so 9 - 3 + 7 equals 13.
Correct answer: 13- A. 15
- B. 17
- C. 19
- D. 21
Explanation: The substituted expression is 35 - 7 × 6 ÷ 2 + 3. BODMAS gives 35 - 21 + 3, which equals 17.
Correct answer: 17- A. - and ÷
- B. + and ÷
- C. - and ×
- D. + and ×
Explanation: Interchanging - and ÷ gives 12 + 6 × 4 ÷ 8 - 2. Applying BODMAS produces 12 + 3 - 2, which equals 13.
Correct answer: - and ÷- A. 13
- B. 15
- C. 17
- D. 19
Explanation: The expression changes to (56 ÷ 7 - 3) + 2 × 5. The bracket equals 5 and 2 × 5 equals 10, giving 15.
Correct answer: 15- A. - and ×
- B. + and ×
- C. + and ÷
- D. + and -
Explanation: Swapping + and - gives (42 - 7) × 3 + 10 ÷ 5. BODMAS gives 35 × 3 + 2, which equals 107.
Correct answer: + and -