`129 div [46 - {93 div (35 - 132 div bar(11 xx 3))}] = `

Options

A. 3
B. 5
C. 7
D. 1

Answer

To solve the expression \( 129 \div [46 - \{93 \div (35 - 132 \div \text{bar}(11 \times 3))\}] \), we will follow the order of operations, often remembered by the acronym BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction).

### Step-by-Step Solution:

1. **Calculate the value inside the bar**:
\[ \text{bar}(11 \times 3) = 11 \times 3 = 33 \]

**Hint**: Always start with the innermost operations.

2. **Substitute the value back into the expression**:
\[ 129 \div [46 - \{93 \div (35 - 132 \div 33)\}] \]

3. **Calculate \(132 \div 33\)**:
\[ 132 \div 33 = 4 \]

**Hint**: Perform divisions before moving to addition or subtraction.

4. **Substitute this value back**:
\[ 129 \div [46 - \{93 \div (35 - 4)\}] \]

5. **Calculate \(35 - 4\)**:
\[ 35 - 4 = 31 \]

**Hint**: Always simplify expressions step by step.

6. **Substitute this value back**:
\[ 129 \div [46 - \{93 \div 31\}] \]

7. **Calculate \(93 \div 31\)**:
\[ 93 \div 31 = 3 \]

**Hint**: Division can often yield whole numbers; check your calculations.

8. **Substitute this value back**:
\[ 129 \div [46 - 3] \]

9. **Calculate \(46 - 3\)**:
\[ 46 - 3 = 43 \]

**Hint**: Always perform subtraction carefully.

10. **Substitute this value back**:
\[ 129 \div 43 \]

11. **Calculate \(129 \div 43\)**:
\[ 129 \div 43 = 3 \]

**Hint**: Double-check your final division for accuracy.

### Final Answer:
The final answer is \(3\).