Statements: 1. Some kings are queens
2. All queens are beautiful
Conclusions: 1. All kings are beautiful
2. All queens are kings

Options

A. only conclusion 1 follows,
B. only conclusion 2 follows,
C. either conclusion 1 or 2 follows,
D. neither conclusion 1 nor 2 follows,

Answer

To solve the problem, we need to analyze the given statements and conclusions logically.

### Step-by-Step Solution:

1. **Understanding the Statements:**
- Statement 1: "Some kings are queens."
- This means there is at least one king who is also a queen. We can represent this with two overlapping circles: one for kings and one for queens.
- Statement 2: "All queens are beautiful."
- This means every individual in the queen circle is also in the beautiful circle. We can represent this by having the queen circle entirely within the beautiful circle.

2. **Analyzing Conclusion 1: "All kings are beautiful."**
- For this conclusion to be true, every individual in the king circle must also be in the beautiful circle.
- However, since we only know that "some kings are queens," it is possible that there are kings who are not queens. Therefore, we cannot conclude that all kings are beautiful.
- **Conclusion 1 is false.**

3. **Analyzing Conclusion 2: "All queens are kings."**
- For this conclusion to be true, every individual in the queen circle must also be in the king circle.
- The statement "some kings are queens" does not imply that all queens are kings. There could be queens who are not kings.
- **Conclusion 2 is also false.**

4. **Final Decision:**
- Since both conclusions are false, we conclude that neither conclusion follows from the statements.

### Final Answer:
Neither conclusion one nor conclusion two follows from the statements.

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