What should come in place of the question mark (?) in the following question?
`2- [6-{3 +(-4+5+1)xx 8 } +12 ]=?`

Options

A. 4
B. 2
C. 3
D. 1

Answer

To solve the expression \( 2 - [6 - \{3 + (-4 + 5 + 1) \times 8\} + 12] = ? \), 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. **Evaluate the innermost brackets:**
\[ -4 + 5 + 1 = 2 \]
Now, substitute this back into the expression:
\[ 2 - [6 - \{3 + 2 \times 8\} + 12] \]

2. **Perform the multiplication:**
\[ 2 \times 8 = 16 \]
Substitute this back:
\[ 2 - [6 - \{3 + 16\} + 12] \]

3. **Add inside the curly brackets:**
\[ 3 + 16 = 19 \]
Substitute this back:
\[ 2 - [6 - 19 + 12] \]

4. **Simplify inside the square brackets:**
- First, calculate \( 6 - 19 \):
\[ 6 - 19 = -13 \]
- Then add 12:
\[ -13 + 12 = -1 \]
Substitute this back:
\[ 2 - [-1] \]

5. **Subtracting a negative is the same as adding:**
\[ 2 - (-1) = 2 + 1 = 3 \]

### Final Answer:
\[ ? = 3 \]