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`{:("Quantity A",,"Quantity B"),(pq,"(?)",qr):}`

Options

A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the infromation given.

Answer

To solve the problem, we need to compare Quantity A and Quantity B given the conditions \(0 < p < q < r\).

### Step-by-step Solution:

1. **Understanding the Given Inequalities**:
- We have three variables: \(p\), \(q\), and \(r\).
- The relationships are: \(0 < p < q < r\).

2. **Identifying the Quantities**:
- **Quantity A**: \(pq\) (the product of \(p\) and \(q\))
- **Quantity B**: \(qr\) (the product of \(q\) and \(r\))

3. **Analyzing the Inequalities**:
- Since \(p < q < r\), we know that both \(p\) and \(r\) are greater than \(0\).
- We can multiply the inequalities without changing their direction because all numbers involved are positive.

4. **Multiplying the Inequalities**:
- We can multiply the inequality \(p < q\) by \(q\) (which is positive):
\[ pq < q^2 \]
- Next, we can multiply the inequality \(q < r\) by \(q\) (which is also positive):
\[ q^2 < qr \]

5. **Combining the Results**:
- From the two inequalities derived:
\[ pq < q^2 < qr \]
- This implies:
\[ pq < qr \]

6. **Conclusion**:
- Since \(pq < qr\), we conclude that Quantity A (\(pq\)) is less than Quantity B (\(qr\)).
- Therefore, the correct choice is that Quantity B is greater than Quantity A.

### Final Answer:
**Quantity B is greater than Quantity A.**