The value of `79-[128-{75-(72-:16xx4)+(18-:2"of"6)xx4}]` is

Options

A. 14
B. 10
C. 15
D. 17

Answer

To solve the expression \( 79 - [128 - \{75 - (72 \div 16 \times 4) + (18 \div 2 \text{ of } 6) \times 4\}] \), we will follow the order of operations (BODMAS/BIDMAS).

### Step-by-step Solution:

1. **Calculate the innermost brackets first:**
- Start with \( 72 \div 16 \):
\[ 72 \div 16 = 4 \]
- Now substitute back into the expression:
\[ 79 - [128 - \{75 - (4 \times 4) + (18 \div 2 \text{ of } 6) \times 4\}] \]

2. **Continue with the multiplication:**
- Calculate \( 4 \times 4 \):
\[ 4 \times 4 = 16 \]
- Substitute back:
\[ 79 - [128 - \{75 - 16 + (18 \div 2 \text{ of } 6) \times 4\}] \]

3. **Calculate \( 18 \div 2 \):**
\[ 18 \div 2 = 9 \]
- Now substitute back:
\[ 79 - [128 - \{75 - 16 + (9 \text{ of } 6) \times 4\}] \]

4. **Calculate \( 9 \text{ of } 6 \):**
- "of" means multiplication, so:
\[ 9 \times 6 = 54 \]
- Substitute back:
\[ 79 - [128 - \{75 - 16 + 54 \times 4\}] \]

5. **Calculate \( 54 \times 4 \):**
\[ 54 \times 4 = 216 \]
- Substitute back:
\[ 79 - [128 - \{75 - 16 + 216\}] \]

6. **Now simplify inside the curly brackets:**
- Calculate \( 75 - 16 + 216 \):
\[ 75 - 16 = 59 \]
\[ 59 + 216 = 275 \]
- Substitute back:
\[ 79 - [128 - 275] \]

7. **Now simplify the square brackets:**
- Calculate \( 128 - 275 \):
\[ 128 - 275 = -147 \]
- Substitute back:
\[ 79 - (-147) \]

8. **Finally, calculate \( 79 - (-147) \):**
\[ 79 + 147 = 226 \]

### Final Answer:
The value of the expression is \( 226 \).