Syllogism: Evaluate which conclusions logically follow from the given statements (Venn-diagram reasoning). Statements: All cups are books. All books are shirts. Conclusions: I. Some cups are not shirts. II. Some shirts are cups. Choose the correct option about which conclusion(s) follow.

Given data

• Statement 1: All cups ⊆ books.
• Statement 2: All books ⊆ shirts.
• Therefore: All cups ⊆ shirts.
• Conclusions to test: (I) Some cups are not shirts; (II) Some shirts are cups.

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