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Question

Accepted Answer

Step 1: Analyze the statements:
- All pastries are chocolates (means every pastry is inside the chocolates set).
- Some chocolates are cookies (means there is an overlap between chocolates and cookies).
- All cookies are cakes (means every cookie is inside the cakes set).

Step 2: Analyze conclusion (I) "No pastry is a cake":
- Since all pastries are chocolates and some chocolates are cookies, and all cookies are cakes, it is possible that some pastries are cakes (if pastries overlap with cookies through chocolates).
- Therefore, conclusion (I) stating "No pastry is a cake" is not necessarily true.

Step 3: Analyze conclusion (II) "Some cakes are chocolates":
- Since some chocolates are cookies and all cookies are cakes, those cookies are both chocolates and cakes.
- Hence, some cakes are chocolates is true.

Final decision: Only conclusion II logically follows.

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