The value of
`2xx 2 + 4 xx 4 + 2 " of " 3 xx 6 - 7 xx (5 + 4 -: 2 )` is :

Options

A. 7
B. 5
C. 4
D. 6

Answer

To solve the expression \(2 \times 2 + 4 \times 4 + 2 \text{ of } 3 \times 6 - 7 \times (5 + 4 \div 2)\), we will follow the order of operations, commonly known as BODMAS/BIDMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction).

### Step-by-Step Solution:

1. **Identify the expression**:
\[ 2 \times 2 + 4 \times 4 + 2 \text{ of } 3 \times 6 - 7 \times (5 + 4 \div 2) \]

2. **Solve the bracket**:
We need to solve the expression inside the bracket first, which is \(5 + 4 \div 2\).
- Calculate \(4 \div 2 = 2\).
- Now substitute back: \(5 + 2 = 7\).
\[ \Rightarrow 2 \times 2 + 4 \times 4 + 2 \text{ of } 3 \times 6 - 7 \times 7 \]

3. **Calculate the 'of' operation**:
The term "of" indicates multiplication, so \(2 \text{ of } 3 \times 6\) translates to \(2 \times (3 \times 6)\).
- Calculate \(3 \times 6 = 18\).
- Now substitute back: \(2 \times 18 = 36\).
\[ \Rightarrow 2 \times 2 + 4 \times 4 + 36 - 7 \times 7 \]

4. **Perform the multiplications**:
- Calculate \(2 \times 2 = 4\).
- Calculate \(4 \times 4 = 16\).
- Calculate \(7 \times 7 = 49\).
\[ \Rightarrow 4 + 16 + 36 - 49 \]

5. **Combine the results**:
- First, add \(4 + 16 = 20\).
- Then add \(20 + 36 = 56\).
- Finally, subtract \(49\) from \(56\): \(56 - 49 = 7\).
\[ \Rightarrow 7 \]

### Final Answer:
The value of the expression is \(7\).