Question

The value of \( 118 - \left[ 121 \div (11 \times 11) - (4) - \{3 - (9 - 2)\} \right] \) is:

• A. 15
• B. 34
• C. 87
• D. 109

Hint:

When solving complex expressions, simplify the innermost brackets first, then work outward.

Answer 1

The Correct Option is D

Step 1: Simplify the expression inside the brackets. \[ 118 - \left[ 121 \div (11 \times 11) - 4 - \{3 - (9 - 2)\} \right] \] Step 2: Solve the inner bracket: \[ 3 - (9 - 2) = 3 - 7 = -4 \] Now the expression becomes: \[ 118 - \left[ 121 \div (11 \times 11) - 4 - (-4) \right] \] Step 3: Simplify further: \[ 118 - \left[ 121 \div 121 - 4 + 4 \right] \] \[ 118 - \left[ 1 - 4 + 4 \right] \] \[ 118 - [1] = 118 - 1 = 109 \] Thus, the value of the expression is 109.