Question

Evaluate: 41 - [21 - {11 - (15 - 9 ÷ 3 × 2)}]

• A. 17
• B. 24
• C. 22
• D. 19

Answer 1

Answer:

C. 22

Based on the steps provided, the original mathematical expression is:
$41 - [21 - \{11 - (15 - \frac{9}{3} \times 2)\}]$

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• Step 1 (Innermost Parentheses):
  Evaluate $15 - \frac{9}{3} \times 2$
  Divide first: $\frac{9}{3} = 3$
  Multiply next: $3 \times 2 = 6$
  Subtract last: $15 - 6 = \mathbf{9}$

• Step 2 (Curly Brackets):
  Evaluate $11 - 9 = \mathbf{2}$

• Step 3 (Square Brackets):
  Evaluate $21 - 2 = \mathbf{1 9}$

• Step 4 (Final Calculation):
  Evaluate $41 - 19 = \mathbf{22}$

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The value of the expression is 22.