The value of `16 - 4 xx [ 4-{98 div 2 " of " 7 - (6-36 div 6 xx 2)}]` is :

Options

A. 38
B. 40
C. 52
D. 42

Answer

To solve the expression \( 16 - 4 \times [ 4 - \{ 98 \div 2 \text{ of } 7 - (6 - 36 \div 6 \times 2) \} ] \), we will follow the order of operations (BODMAS/BIDMAS).

### Step-by-Step Solution:

1. **Evaluate the innermost bracket**: Start with \( 36 \div 6 \).
\[ 36 \div 6 = 6 \]
Now, substitute back into the expression:
\[ 16 - 4 \times [ 4 - \{ 98 \div 2 \text{ of } 7 - (6 - 6 \times 2) \} ] \]

2. **Continue with the innermost bracket**: Now calculate \( 6 \times 2 \).
\[ 6 \times 2 = 12 \]
Substitute back:
\[ 16 - 4 \times [ 4 - \{ 98 \div 2 \text{ of } 7 - (6 - 12) \} ] \]

3. **Calculate \( 6 - 12 \)**:
\[ 6 - 12 = -6 \]
Substitute back:
\[ 16 - 4 \times [ 4 - \{ 98 \div 2 \text{ of } 7 - (-6) \} ] \]

4. **Now, handle the "of" operation (which means multiplication)**: Calculate \( 98 \div 2 \).
\[ 98 \div 2 = 49 \]
Substitute back:
\[ 16 - 4 \times [ 4 - \{ 49 \text{ of } 7 - (-6) \} ] \]

5. **Calculate \( 49 \text{ of } 7 \)**:
\[ 49 \times 7 = 343 \]
Substitute back:
\[ 16 - 4 \times [ 4 - \{ 343 - (-6) \} ] \]

6. **Now, simplify \( 343 - (-6) \)**:
\[ 343 + 6 = 349 \]
Substitute back:
\[ 16 - 4 \times [ 4 - 349 ] \]

7. **Calculate \( 4 - 349 \)**:
\[ 4 - 349 = -345 \]
Substitute back:
\[ 16 - 4 \times (-345) \]

8. **Now, calculate \( 4 \times (-345) \)**:
\[ 4 \times (-345) = -1380 \]
Substitute back:
\[ 16 - (-1380) \]

9. **Finally, calculate \( 16 - (-1380) \)**:
\[ 16 + 1380 = 1396 \]

### Final Answer:
The value of the expression is \( 1396 \).