Which one of the following options is correct in the given expression?
`2 - [3- {6 - (5 div 4 - 3)}]` :

Options

A. 0
B. `1`
C. `-3`
D. None of these

Answer

To solve the expression \( 2 - [3 - \{6 - (5 \div 4 - 3)\}] \), we will follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

### Step-by-Step Solution:

1. **Identify the innermost brackets**: Start with the round brackets \( (5 \div 4 - 3) \).

\[ 5 \div 4 = 1.25 \]
Now, substitute back into the expression:
\[ 1.25 - 3 = -1.75 \]

2. **Substitute back into the curly brackets**: Now we have:
\[ 6 - (-1.75) = 6 + 1.75 = 7.75 \]

3. **Substitute back into the square brackets**: Now we have:
\[ 3 - 7.75 = -4.75 \]

4. **Final substitution into the expression**: Finally, we have:
\[ 2 - (-4.75) = 2 + 4.75 = 6.75 \]

The final result of the expression \( 2 - [3 - \{6 - (5 \div 4 - 3)\}] \) is \( 6.75 \).

### Summary of Steps:
1. Calculate \( 5 \div 4 \) to get \( 1.25 \).
2. Subtract \( 3 \) from \( 1.25 \) to get \( -1.75 \).
3. Subtract \( -1.75 \) from \( 6 \) to get \( 7.75 \).
4. Subtract \( 7.75 \) from \( 3 \) to get \( -4.75 \).
5. Finally, add \( 2 \) to \( -4.75 \) to get \( 6.75 \).