Solve : `16-:2xx2-:2xx2+2=?` Options are (a) 6 (b) 10 (c) 18 (d) 3.

Options

A. 6
B. 10
C. 18
D. 3

Answer

To solve the expression \( 16 \div 2 \times 2 \div 2 \times 2 + 2 \), we will follow the order of operations, often remembered by the acronym BODMAS/BIDMAS (Brackets, Orders, Division and Multiplication (from left to right), Addition and Subtraction (from left to right)).

### Step-by-Step Solution:

1. **Start with the expression**:
\[ 16 \div 2 \times 2 \div 2 \times 2 + 2 \]

2. **Perform the first division**:
\[ 16 \div 2 = 8 \]
Now the expression becomes:
\[ 8 \times 2 \div 2 \times 2 + 2 \]

3. **Next, perform the multiplication**:
\[ 8 \times 2 = 16 \]
Now the expression is:
\[ 16 \div 2 \times 2 + 2 \]

4. **Now, perform the next division**:
\[ 16 \div 2 = 8 \]
The expression now looks like:
\[ 8 \times 2 + 2 \]

5. **Perform the last multiplication**:
\[ 8 \times 2 = 16 \]
The expression now simplifies to:
\[ 16 + 2 \]

6. **Finally, perform the addition**:
\[ 16 + 2 = 18 \]

Thus, the final answer is:
\[ \boxed{18} \]