What should come in place of question mark (?) in the following questions? 1072 + [{8240 + (-9213)} - {(2863 - (4329 - 2143)}] = ?

Options

A. 578
B. `-576 `
C. 576
D. `-578`

Answer

To solve the equation \( 1072 + \left[ {8240 + (-9213)} - \left\{ {2863 - (4329 - 2143)} \right\} \right] = ? \), we will follow the order of operations (BODMAS/BIDMAS).

### Step-by-Step Solution:

1. **Solve the innermost bracket**:
- Calculate \( 4329 - 2143 \).
\[ 4329 - 2143 = 2186 \]

2. **Substitute back into the equation**:
- Now we have \( 2863 - 2186 \).
\[ 2863 - 2186 = 677 \]

3. **Substitute this result back into the larger bracket**:
- The equation now looks like:
\[ 1072 + \left[ {8240 + (-9213)} - 677 \right] \]

4. **Calculate \( 8240 + (-9213) \)**:
\[ 8240 - 9213 = -973 \]

5. **Substitute this result back into the equation**:
- Now we have:
\[ 1072 + \left[ -973 - 677 \right] \]

6. **Calculate \( -973 - 677 \)**:
\[ -973 - 677 = -1650 \]

7. **Substitute this result back into the equation**:
- The equation now looks like:
\[ 1072 + (-1650) \]

8. **Calculate \( 1072 + (-1650) \)**:
\[ 1072 - 1650 = -578 \]

### Final Answer:
The value that should come in place of the question mark (?) is \( -578 \).