Difficulty: Easy
Correct Answer: Only Conclusion II follows
Explanation:
Introduction / Context:
This question tests core syllogism skills with set relations expressed via quantifiers 'some' and 'all'. The key terms are Tablets (T), Capsules (C), Syrups (S), Medicines (M), and Powders (P). We must decide which conclusions are true in every possible model that satisfies the given premises, not merely in a convenient example.
Given Data / Assumptions:
Concept / Approach:
Use standard set/venn reasoning. A universal premise allows us to forward-chain membership from the subset to the superset. A particular ('some') establishes existence of at least one specific witness. Conclusions must hold for every model that satisfies the premises; otherwise they do not necessarily follow.
Step-by-Step Solution:
From Premise 1, pick an element x such that x ∈ T ∩ C.Premise 2 says C ⊆ S, so the same x is in S. Therefore x ∈ T ∩ S. Hence there exists a Syrup that is also a Tablet. This proves Conclusion II.Premise 3, 'Some S are M', is unrelated to Powders (P) and does not force any link between S and P. No premise states that any S is a Powder, so Conclusion I is not compelled.
Verification / Alternative check:
Construct a countermodel for Conclusion I: Let S contain two disjoint parts—one overlapping C (and therefore T) and another overlapping M; let P be disjoint from S. The premises remain true, yet no Syrup is a Powder. Therefore I does not necessarily follow. Conclusion II continues to hold because the specific tablet-capsule witness is also a Syrup by Premise 2.
Why Other Options Are Wrong:
Common Pitfalls:
Assuming that 'Some S are M' implies extra overlap with unrelated categories like Powders. Particular statements create existence but not universal spreading across unrelated sets.
Final Answer:
Only Conclusion II follows.
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