If 'W' means 'X', 'X' means '-', 'Y' means '+' and 'z' mean `'div'` then 28 Z 7 W 8 X 6 Y 4= ?

Options

A. A. 30
B. B. 3/2
C. C. 32
D. D. 34

Answer

To solve the expression \( 28 Z 7 W 8 X 6 Y 4 \) with the given meanings of the symbols, we will follow these steps:

1. **Substitute the symbols with their meanings:**
- 'Z' means 'div', so \( 28 Z 7 \) becomes \( 28 \div 7 \).
- 'W' means 'X', so \( W 8 \) becomes \( X 8 \) which is \( -8 \).
- 'X' means '-', so \( 8 X 6 \) becomes \( 8 - 6 \).
- 'Y' means '+', so \( 6 Y 4 \) becomes \( 6 + 4 \).

Therefore, the expression becomes:
\[ 28 \div 7 - 8 - 6 + 4 \]

2. **Perform the division:**
\[ 28 \div 7 = 4 \]
Now the expression is:
\[ 4 - 8 - 6 + 4 \]

3. **Perform the subtraction and addition from left to right:**
- First, calculate \( 4 - 8 \):
\[ 4 - 8 = -4 \]
Now the expression is:
\[ -4 - 6 + 4 \]

- Next, calculate \( -4 - 6 \):
\[ -4 - 6 = -10 \]
Now the expression is:
\[ -10 + 4 \]

- Finally, calculate \( -10 + 4 \):
\[ -10 + 4 = -6 \]

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