In each of the following questions, some statements are given followed by two conclusions numbered I and II. Assume the statements to be true even if they contradict commonly known facts. Read the conclusions carefully and decide which of the conclusions logically follow from the statements.

**Statements:**
- All Mate are Date.
- Some Cat are Bat.
- No Mate is Cat.

**Conclusions:**
I. All Date being Cat is a possibility.
II. Some Bat are not Mate.

Question

In each of the following questions, some statements are given followed by two conclusions numbered I and II. Assume the statements to be true even if they contradict commonly known facts. Read the conclusions carefully and decide which of the conclusions logically follow from the statements.

**Statements:**
- All Mate are Date.
- Some Cat are Bat.
- No Mate is Cat.

**Conclusions:**
I. All Date being Cat is a possibility.
II. Some Bat are not Mate.

Accepted Answer

**Solution:**

1. From the statements:
   - All Mate are Date.
   - Some Cat are Bat.
   - No Mate is Cat.

2. Analyze Conclusion I: "All Date being Cat is a possibility."
   - Since no Mate is Cat and all Mate are Date, Date includes Mate but cannot be fully Cat.
   - Therefore, it is impossible for all Date to be Cat.
   - Hence, Conclusion I does not follow.

3. Analyze Conclusion II: "Some Bat are not Mate."
   - Some Cat are Bat, and no Mate is Cat.
   - So, the Bat that are Cat cannot be Mate.
   - Therefore, some Bat are definitely not Mate.
   - Hence, Conclusion II follows.

**Answer:** If only conclusion II follows.

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