**Statements:**

- Only a few Cable are Wire.
- Some Hire are Wire.
- No Cable is Hire.
- Some Label are Hire.

**Conclusions:**

I: Some Cable are not Wire.

II: Some Label being Cable is a possibility.

Decide which conclusion(s) logically follow(s) from the statements given above, assuming all statements are true even if they contradict common knowledge.

Question

**Statements:**

- Only a few Cable are Wire.
- Some Hire are Wire.
- No Cable is Hire.
- Some Label are Hire.

**Conclusions:**

I: Some Cable are not Wire.

II: Some Label being Cable is a possibility.

Decide which conclusion(s) logically follow(s) from the statements given above, assuming all statements are true even if they contradict common knowledge.

Accepted Answer

**Solution:**

1. Analyze the first statement: "Only a few Cable are Wire." This implies that some Cable are Wire, but not all. Therefore, some Cable are not Wire. Hence, conclusion I is true.

2. The third statement says "No Cable is Hire," and the fourth states "Some Label are Hire."

3. Since no Cable is Hire, and some Label are Hire, there is no direct overlap between Cable and Label through Hire.

4. However, conclusion II states "Some Label being Cable is a possibility." Since there is no statement explicitly denying any relation between Label and Cable, this possibility cannot be ruled out.

5. Therefore, conclusion II also logically follows.

**Answer:** Both conclusions I and II follow.

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