If + means `div,div` means `-, -` means `xx,xx` means +, then find the value of the following expression :
`84+3div4-6xx12=?`

Options

A. 16
B. 20
C. 14
D. 18

Answer

To solve the expression `84 + 3 div 4 - 6 xx 12` using the given operations, we first need to replace the symbols with their corresponding operations based on the definitions provided:

- `+` means `div` (division)
- `div` means `-` (subtraction)
- `-` means `xx` (multiplication)
- `xx` means `+` (addition)

Now, let's rewrite the expression step by step:

1. **Rewrite the expression using the new operations:**
- Original: `84 + 3 div 4 - 6 xx 12`
- Replacing the symbols:
- `+` becomes `div` → `84 div 3`
- `div` becomes `-` → `3 - 4`
- `-` becomes `xx` → `6 xx 12`
- `xx` becomes `+` → `6 + 12`
- So, the expression becomes:
\[ 84 \div 3 - 4 \times 6 + 12 \]

2. **Perform the operations in the correct order (following BIDMAS/BODMAS rules):**
- First, perform the division:
\[ 84 \div 3 = 28 \]
- Now, substitute this back into the expression:
\[ 28 - 4 \times 6 + 12 \]

3. **Next, perform the multiplication:**
- Calculate \(4 \times 6\):
\[ 4 \times 6 = 24 \]
- Substitute this back into the expression:
\[ 28 - 24 + 12 \]

4. **Now, perform the subtraction:**
- Calculate \(28 - 24\):
\[ 28 - 24 = 4 \]
- Substitute this back into the expression:
\[ 4 + 12 \]

5. **Finally, perform the addition:**
- Calculate \(4 + 12\):
\[ 4 + 12 = 16 \]

Thus, the value of the expression `84 + 3 div 4 - 6 xx 12` is **16**.