If '-' means `'xx'` '+' means `'div''xx'` means '+' and `'div'` means '-', then :
`16+4div5-2xx3=?`

Options

A. `2(1)/(3)`
B. `-2(1)/(3)`
C. -3
D. 4

Answer

To solve the expression `16 + 4 div 5 - 2 xx 3` with the given substitutions, we will follow these steps:

1. **Identify the substitutions**:
- `+` means `div` (division)
- `-` means `xx` (multiplication)
- `xx` means `+` (addition)
- `div` means `-` (subtraction)

2. **Rewrite the expression using the substitutions**:
- The original expression is `16 + 4 div 5 - 2 xx 3`.
- Replacing the symbols:
- `16 + 4` becomes `16 div 4`
- `4 div 5` becomes `4 - 5`
- `- 2` becomes `xx 2` (which is `+ 2`)
- `xx 3` becomes `+ 3`
- Therefore, the expression becomes:
\[ 16 \div 4 - 5 + 2 + 3 \]

3. **Follow the order of operations (BODMAS)**:
- According to BODMAS, we first perform division, then subtraction, and finally addition.
- First, we calculate `16 div 4`:
\[ 16 \div 4 = 4 \]
- Now the expression is:
\[ 4 - 5 + 2 + 3 \]

4. **Perform the subtraction**:
- Next, we calculate `4 - 5`:
\[ 4 - 5 = -1 \]
- Now the expression is:
\[ -1 + 2 + 3 \]

5. **Perform the addition**:
- First, calculate `-1 + 2`:
\[ -1 + 2 = 1 \]
- Now the expression is:
\[ 1 + 3 \]
- Finally, calculate `1 + 3`:
\[ 1 + 3 = 4 \]

6. **Final result**:
- The final answer is:
\[ 4 \]