Question

Evaluate: 41 - [21 - {11 - (15 - 6 ÷ 2 × 2)}]

• A. 24
• B. 17
• C. 22
• D. 19

Answer 1

Answer:

C. 22

The value is 22.

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We solve this expression by working from the innermost brackets outward:

1. Step 1: Inside the Round Brackets $( )$
   First, perform division, then multiplication, and finally subtraction:

   • Division: $6 \div 2 = 3$

   • Multiplication: $3 \times 2 = 6$

   • Subtraction: $15 - 6 = 9$

   The expression becomes:
   $41 - [21 - \{11 - 9\}]$

2. Step 2: Inside the Curly Brackets $\{ \}$

   • Subtract the numbers: $11 - 9 = 2$

   The expression becomes:
   $41 - [21 - 2]$

3. Step 3: Inside the Square Brackets $[ ]$

   • Subtract the numbers: $21 - 2 = 19$

   The expression becomes:
   $41 - 19$

4. Step 4: Final Subtraction

   • $41 - 19 = 22$