If 'W' stands for division,'X' stands for multiplication, 'Y' stands for subtraction and 'Z' stands for addition , then which of the following option is correct ?

Options

A. 6 X 20 W 12 Y 7 W 1 = 38
B. 6 W 20 Y 12 Z 7 X 1 = 57
C. 6 X 20 W 12 Y 7 Z 1 = 62
D. 6 Y 20 Z 12 X 7 W 1 = 70

Explanation

To solve the problem, we need to interpret the symbols based on the definitions provided:

- W = Division
- X = Multiplication
- Y = Subtraction
- Z = Addition

Now, let's analyze each option step by step.

### Option 1:
**Expression:** 6X 20W 12Y 1W 1

1. **Interpret the expression:**
- 6X 20 means \(6 \times 20\)
- 20W 12 means \(20 \div 12\)
- 12Y 1 means \(12 - 1\)
- 1W 1 means \(1 \div 1\)

2. **Calculate step by step:**
- First, calculate \(6 \times 20 = 120\).
- Then, calculate \(20 \div 12 \approx 1.67\) (not an integer).
- The expression does not yield an integer.

### Option 2:
**Expression:** 6W 20Y 12Z 7X 1

1. **Interpret the expression:**
- 6W 20 means \(6 \div 20\)
- 20Y 12 means \(20 - 12\)
- 12Z 7 means \(12 + 7\)
- 7X 1 means \(7 \times 1\)

2. **Calculate step by step:**
- First, calculate \(6 \div 20 = 0.3\) (not an integer).
- Then, calculate \(20 - 12 = 8\).
- Next, calculate \(12 + 7 = 19\).
- Finally, calculate \(7 \times 1 = 7\).
- The expression does not yield an integer.

### Option 3:
**Expression:** 6X 20W 12Y 7Z 1

1. **Interpret the expression:**
- 6X 20 means \(6 \times 20\)
- 20W 12 means \(20 \div 12\)
- 12Y 7 means \(12 - 7\)
- 7Z 1 means \(7 + 1\)

2. **Calculate step by step:**
- First, calculate \(6 \times 20 = 120\).
- Then, calculate \(20 \div 12 \approx 1.67\) (not an integer).
- Next, calculate \(12 - 7 = 5\).
- Finally, calculate \(7 + 1 = 8\).
- The expression does not yield an integer.

### Option 4:
**Expression:** 6Y 20Z 12X 7W 1

1. **Interpret the expression:**
- 6Y 20 means \(6 - 20\)
- 20Z 12 means \(20 + 12\)
- 12X 7 means \(12 \times 7\)
- 7W 1 means \(7 \div 1\)

2. **Calculate step by step:**
- First, calculate \(6 - 20 = -14\).
- Then, calculate \(20 + 12 = 32\).
- Next, calculate \(12 \times 7 = 84\).
- Finally, calculate \(7 \div 1 = 7\).

3. **Combine the results:**
- Combine the results: \(-14 + 32 + 84 + 7 = 109\).

After analyzing all options, it appears that no option yields a correct integer result based on the interpretations given. However, the calculations for Option 4 seem to be the most coherent, leading us to conclude that it is the best option among the four.

### Final Answer:
The correct option is **Option 4**.