In each question below, some statements are provided followed by conclusions. Assume the statements are true even if they contradict common knowledge. Read all conclusions and decide which logically follow from the statements, ignoring common facts.

**Statements:**
- All Jam is Bread.
- Only a few Jam is Butter.
- All Cake is Butter.
- All Butter is Cheese.

**Conclusions:**
I. Some Cheese are not Bread.
II. Some Cake can be Bread.
III. All Butter can be Jam.

Which of the following conclusions logically follow?

Question

In each question below, some statements are provided followed by conclusions. Assume the statements are true even if they contradict common knowledge. Read all conclusions and decide which logically follow from the statements, ignoring common facts.

**Statements:**
- All Jam is Bread.
- Only a few Jam is Butter.
- All Cake is Butter.
- All Butter is Cheese.

**Conclusions:**
I. Some Cheese are not Bread.
II. Some Cake can be Bread.
III. All Butter can be Jam.

Which of the following conclusions logically follow?

Accepted Answer

**Solution:**

1. **Analyze the statements:**
   - All Jam is Bread.
   - Only a few Jam is Butter (means some Jam is Butter, but not all).
   - All Cake is Butter.
   - All Butter is Cheese.

2. **Check Conclusion I: Some Cheese are not Bread.**
   - Since All Butter is Cheese, and only some Jam (which is Bread) is Butter, it means some Cheese (Butter) are Jam (Bread), but not all Cheese are Bread.
   - Therefore, some Cheese are not Bread.
   - Conclusion I follows.

3. **Check Conclusion II: Some Cake can be Bread.**
   - All Cake is Butter.
   - Butter is Cheese.
   - Jam is Bread.
   - Since only some Jam is Butter, and Cake is Butter, there is a possibility that some Cake can be Bread (if Cake overlaps with Jam through Butter).
   - So, Conclusion II can follow.

4. **Check Conclusion III: All Butter can be Jam.**
   - Only a few Jam is Butter, so not all Butter is Jam.
   - Hence, Conclusion III does not follow.

**Answer:** (a) Both I and II follow

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