Wasim is twice as efficient as Yunns. Both can comlete a work together in `7(1)/(2)` days.
Quantity 1: Time taken by Yunus to complete the work alone.
Quantity 2: If Shashi to complete the work alone.

Options

A. Quantity `1 gt` Quantity 2
B. Quantity `1 ge` Quantity 2
C. Quantity `2 gt` Quantity 1
D. Quantity `2 ge` Quantity 1

Explanation

To solve the problem, we need to analyze the information given about Wasim and Yunus's work efficiencies and their combined work time.

### Step-by-Step Solution:

1. **Understanding Efficiency**:
- Let the efficiency of Yunus be \( E \).
- Since Wasim is twice as efficient as Yunus, his efficiency will be \( 2E \).

2. **Combined Efficiency**:
- When both work together, their combined efficiency is:
\[ E + 2E = 3E \]

3. **Total Work**:
- The total work done can be represented as \( W \).
- The time taken by both to complete the work together is given as \( 7\frac{1}{2} \) days, which can be converted into an improper fraction:
\[ 7\frac{1}{2} = \frac{15}{2} \text{ days} \]

4. **Using the Work Formula**:
- The formula for work is:
\[ \text{Work} = \text{Efficiency} \times \text{Time} \]
- Therefore, the total work \( W \) can be calculated as:
\[ W = \text{Combined Efficiency} \times \text{Time} = 3E \times \frac{15}{2} \]
- Simplifying this gives:
\[ W = \frac{45E}{2} \]

5. **Calculating Time Taken by Yunus**:
- The time taken by Yunus to complete the work alone can be calculated using the formula:
\[ \text{Time} = \frac{\text{Work}}{\text{Efficiency}} = \frac{W}{E} \]
- Substituting \( W \):
\[ \text{Time taken by Yunus} = \frac{\frac{45E}{2}}{E} = \frac{45}{2} = 22.5 \text{ days} \]

6. **Calculating Time Taken by Wasim**:
- The time taken by Wasim to complete the work alone is:
\[ \text{Time} = \frac{W}{2E} = \frac{\frac{45E}{2}}{2E} = \frac{45}{4} = 11.25 \text{ days} \]

### Conclusion:
- **Quantity 1** (Time taken by Yunus) = 22.5 days
- **Quantity 2** (Time taken by Wasim) = 11.25 days

Now we compare the two quantities:
- Quantity 1 (Yunus) is greater than Quantity 2 (Wasim).

Thus, the answer is:
- **Quantity 1 > Quantity 2**.