`if '+' mean 'div', 'X' mean '-' , 'div' mean '+' and '-' mena 'X' then`
`16 div 8 X 6 -2+12=?`

Options

A. 22
B. 24
C. 23
D. 120

Answer

To solve the expression \( 16 \div 8 \times 6 - 2 + 12 \) with the given operations converted as follows:
- '+' means 'div'
- 'X' means '-'
- 'div' means '+'
- '-' means 'X'

We will first convert the expression according to the new meanings of the operations.

### Step 1: Convert the operations
The original expression is:
\[ 16 \div 8 \times 6 - 2 + 12 \]

Using the conversions:
- \( \div \) becomes \( + \)
- \( \times \) becomes \( - \)
- \( - \) becomes \( \times \)
- \( + \) becomes \( \div \)

The converted expression will be:
\[ 16 + 8 - 6 \times 2 \div 12 \]

### Step 2: Rewrite the expression
Now, we rewrite the expression with the new operations:
\[ 16 + 8 - 6 \times 2 \div 12 \]

### Step 3: Apply the BODMAS/BIDMAS rule
According to the BODMAS/BIDMAS rule, we solve the operations in the following order: Brackets, Orders (i.e., powers and roots, etc.), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

1. **Multiplication and Division**:
- First, we perform the multiplication \( 6 \times 2 \):
\[ 6 \times 2 = 12 \]
- Now, substitute back into the expression:
\[ 16 + 8 - 12 \div 12 \]

2. **Next, perform the division**:
- Now, we perform the division \( 12 \div 12 \):
\[ 12 \div 12 = 1 \]
- Substitute back into the expression:
\[ 16 + 8 - 1 \]

3. **Now, perform the addition and subtraction from left to right**:
- First, do the addition:
\[ 16 + 8 = 24 \]
- Then, perform the subtraction:
\[ 24 - 1 = 23 \]

### Final Result
The final answer is:
\[ 23 \]