Difficulty: Easy
Correct Answer: Only Conclusion II follows
Explanation:
Given data
Concept/Approach
Translate universal statements into set containment and test each conclusion against all possible Venn diagrams consistent with the premises. From All cups ⊆ books and All books ⊆ shirts, it follows that all cups are inside shirts.
Step-by-step evaluation
Conclusion I: "Some cups are not shirts" contradicts All cups ⊆ shirts, so it does not follow. Conclusion II: Since cups are a subset of shirts and we assume the existence of at least one cup (standard syllogism convention in such MCQs), at least one element is both a shirt and a cup; hence "Some shirts are cups" follows.
Common pitfalls
Confusing the converse ("Some shirts are cups") with the original universal; here, particular existence is acceptable under exam conventions.
Final Answer
Only Conclusion II follows
Discussion & Comments