**Statements:**
- Some butter is not cake.
- Some cookies is cake.
- All bread is butter.

**Conclusions:**
I. All bread being cookies is a possibility.
II. Some bread is not cake.

Which of the conclusions logically follows?

Question

**Statements:**
- Some butter is not cake.
- Some cookies is cake.
- All bread is butter.

**Conclusions:**
I. All bread being cookies is a possibility.
II. Some bread is not cake.

Which of the conclusions logically follows?

Accepted Answer

**Solution:**

1. From the statements:
   - "All bread is butter" means the entire set of bread lies within butter.
   - "Some butter is not cake" means there is a part of butter which does not overlap with cake.
   - "Some cookies is cake" means there is some overlap between cookies and cake.

2. Analyze Conclusion I: "All bread being cookies is a possibility."
   - Since all bread is inside butter, and some butter is not cake, there is no direct restriction preventing bread from being cookies.
   - Therefore, it is possible that all bread could be cookies.

3. Analyze Conclusion II: "Some bread is not cake."
   - Since all bread is butter, and some butter is not cake, it might be possible that some bread is not cake.
   - However, this is not certain because the statement "some butter is not cake" does not guarantee that the part of butter which is not cake includes bread.
   - Hence, this conclusion does not necessarily follow.

**Answer:** Only conclusion I follows.

Answer

Answer

Answer

Answer