Source: Extra Practice

Simplify the complex arithmetic expression: [18−{6+(10÷2−3)}]×4[18 - \{6 + (10 \div 2 - 3)\}] \times 4.

Options

Option A

20

Option B is correct

40

Option C

32

Option D

64

Explanation

Follow the BODMAS/PEMDAS rule for nested brackets, working from the innermost outwards:

  1. Innermost parenthesis: (10÷2−3)=(5−3)=2(10 \div 2 - 3) = (5 - 3) = 2.
  2. Curly braces: {6+2}=8\{6 + 2\} = 8.
  3. Square brackets: [18−8]=10[18 - 8] = 10.
  4. Finally, perform the multiplication: 10×4=4010 \times 4 = 40.
    Thus, the correct answer is 40.