Question:
The value of \( 118 - \left[ 121 \div (11 \times 11) - (4) - \{3 - (9 - 2)\} \right] \) is:
The value of \( 118 - \left[ 121 \div (11 \times 11) - (4) - \{3 - (9 - 2)\} \right] \) is:
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When solving complex expressions, simplify the innermost brackets first, then work outward.
Updated On: Mar 26, 2025
- 15
- 34
- 87
- 109
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The Correct Option is D
Solution and Explanation
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.
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