All Free Analytical and Logical Reasoning MCQs with Answers

Every Analytical and Logical Reasoning question in the bank, across all chapters, each with the correct answer and a written explanation. Free and unlimited, with no account needed.

2,989 questions · page 146 of 150

Easy
  • 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
Easy
  • 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
Fairly easy
  • 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
Fairly easy
  • 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
Moderate
  • 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
Moderate
  • 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 -
Hard
  • 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
Hard
  • 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 -
Very hard
  • 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 -
Easy
  • 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
Easy
  • 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
Fairly easy
  • 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
Fairly easy
  • 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
Hard
  • A. Plus and minus
  • B. Plus and multiplication
  • C. Minus and division
  • D. Multiplication and division

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
Hard
  • 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
Very hard
  • 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
Very hard
  • A. Plus and minus
  • B. Plus and division
  • C. Multiplication 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
Easy
  • 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
Easy
  • 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
Fairly easy
  • 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