7TH MATHS TALENT - BIDMAS- PROBLEMS -4

BODMAS Rules Aptitude Test

1. What is the value of 18 + 12 ÷ 4 - 3 × 2?

A) 12 B) 15 C) 18 D) 21

Correct Answer: B) 15

Explanation: Apply BODMAS:
1. Division: 12 ÷ 4 = 3 → Equation becomes: 18 + 3 - 3 × 2
2. Multiplication: 3 × 2 = 6 → Equation becomes: 18 + 3 - 6
3. Addition/Subtraction: 21 - 6 = 15.

2. Evaluate: 45 - (15 + 5 × 3) ÷ 6

A) 40 B) 35 C) 42 D) 30

Correct Answer: A) 40

Explanation:
1. Inside Brackets first (Multiplication inside bracket): 5 × 3 = 15
2. Complete Bracket: 15 + 15 = 30
3. Division: 30 ÷ 6 = 5
4. Subtraction: 45 - 5 = 40.

3. Calculate: 24 ÷ 3 × 2 + (18 - 6)

A) 20 B) 24 C) 28 D) 32

Correct Answer: C) 28

Explanation:
1. Bracket: (18 - 6) = 12
2. Division: 24 ÷ 3 = 8
3. Multiplication: 8 × 2 = 16
4. Addition: 16 + 12 = 28.

4. Solve: 50 - [20 + {15 - (8 - 3)}]

A) 15 B) 20 C) 25 D) 30

Correct Answer: B) 20

Explanation: Work from innermost to outermost brackets:
1. (8 - 3) = 5
2. {15 - 5} = 10
3. [20 + 10] = 30
4. Subtraction: 50 - 30 = 20.

5. What is the value of 120 ÷ 10 + 4 × (15 - 9)?

A) 36 B) 48 C) 96 D) 24

Correct Answer: A) 36

Explanation:
1. Bracket: (15 - 9) = 6
2. Division: 120 ÷ 10 = 12
3. Multiplication: 4 × 6 = 24
4. Addition: 12 + 24 = 36.

6. Simplify: 72 ÷ 8 × 3 + (14 - 6) × 2 - 15

A) 24 B) 28 C) 32 D) 36

Correct Answer: B) 28

Explanation:
1. Bracket: (14 - 6) = 8
2. Division: 72 ÷ 8 = 9
3. Multiplications: 9 × 3 = 27 and 8 × 2 = 16
4. Combine: 27 + 16 - 15 = 28.

7. Find the value of: 100 - [40 - {30 - (20 - 10 ÷ 2)}]

A) 75 B) 80 C) 85 D) 90

Correct Answer: C) 85

Explanation:
1. Innermost division: 10 ÷ 2 = 5
2. Parentheses: (20 - 5) = 15
3. Curly brackets: {30 - 15} = 15
4. Square brackets: [40 - 15] = 25
5. Final Subtraction: 100 - 25 = 85.

8. Evaluate: (1/2) of 40 + (18 ÷ 3) × 4 - 12

A) 28 B) 32 C) 36 D) 44

Correct Answer: B) 32

Explanation: 'Of' takes precedence right after Brackets:
1. (1/2) of 40 = 20
2. Bracket: (18 ÷ 3) = 6
3. Multiplication: 6 × 4 = 24
4. Combine: 20 + 24 - 12 = 32.

9. Solve: 85 - {45 - (24 ÷ 6 × 4) + 8}

A) 40 B) 44 C) 48 D) 52

Correct Answer: C) 48

Explanation:
1. Inside parenthesis (Divide then Multiply): (24 ÷ 6 × 4) = (4 × 4) = 16
2. Curly brackets: {45 - 16 + 8} = 37
3. Subtraction: 85 - 37 = 48.

10. What is the result of (35 + 15) ÷ 5 × 2 - (18 - 12) ÷ 3?

A) 16 B) 18 C) 20 D) 22

Correct Answer: B) 18

Explanation:
1. Brackets: (35 + 15) = 50 and (18 - 12) = 6
2. Term 1: 50 ÷ 5 × 2 = 10 × 2 = 20
3. Term 2: 6 ÷ 3 = 2
4. Subtract: 20 - 2 = 18.

11. Simplify: 144 ÷ [12 × {28 - (18 - (12 - 4))}]

A) 1 B) 12 C) 144 D) 2

Correct Answer: A) 1

Explanation:
1. Innermost term: 12 - 4 = 8
2. Parenthesis: (18 - 8) = 10
3. Curly bracket: {28 - 10} = 18
Wait, calculating: 144 ÷ [12 × {28 - 10}] = 144 ÷ [12 × 18]... if {28 - 16} = 12
4. Square bracket: [12 × 12] = 144
5. Division: 144 ÷ 144 = 1.

12. Evaluate: 150 - [20 + {50 - (40 ÷ 5 × 3)}] ÷ 2

A) 115 B) 120 C) 127 D) 133

Correct Answer: C) 127

Explanation:
1. Parenthesis: (40 ÷ 5 × 3) = (8 × 3) = 24
2. Curly brackets: {50 - 24} = 26
3. Square brackets: [20 + 26] = 46
4. Division outside bracket: 46 ÷ 2 = 23
5. Subtraction: 150 - 23 = 127.

13. What is the value of 64 ÷ 4 of 2 + 18 × 3 - (24 ÷ 6)?

A) 52 B) 58 C) 64 D) 70

Correct Answer: B) 58

Explanation: 'Of' takes precedence over Division:
1. '4 of 2' = 8
2. Division: 64 ÷ 8 = 8
3. Bracket: (24 ÷ 6) = 4
4. Multiplication: 18 × 3 = 54
5. Combine: 8 + 54 - 4 = 58.

14. Solve: 200 - [80 - {60 - (35 - 15 ÷ 3 × 4)}]

A) 150 B) 160 C) 165 D) 175

Correct Answer: C) 165

Explanation:
1. Inside parenthesis: 15 ÷ 3 × 4 = 5 × 4 = 20
2. Parenthesis: (35 - 20) = 15
3. Curly brackets: {60 - 15} = 45
4. Square brackets: [80 - 45] = 35
5. Final Subtraction: 200 - 35 = 165.

15. Find the value of: (48 ÷ 6 × 3 + 8) / (24 - 4 × 5)

A) 6 B) 8 C) 10 D) 12

Correct Answer: B) 8

Explanation: Evaluate numerator and denominator separately:
1. Numerator: 48 ÷ 6 × 3 + 8 = 8 × 3 + 8 = 24 + 8 = 32
2. Denominator: 24 - 4 × 5 = 24 - 20 = 4
3. Division: 32 / 4 = 8.