Difficulty: Easy
Correct Answer: Only Conclusion II follows
Explanation:
Introduction / Context:
This is a standard categorical syllogism. We are told that the set of leaders is a subset of the set of human beings, and that every human being needs rest. We must test two candidate conclusions.
Given Data / Assumptions:
Concept / Approach:
From subset chaining: if Leaders ⊆ Humans and all Humans need rest, then all Leaders need rest. However, “All humans are not leaders” (i.e., not every human is a leader) cannot be inferred from “Leaders are humans” because it could still be possible (logically) that all humans happen to be leaders.
Step-by-Step Solution:
Verification / Alternative check:
Construct a model: Suppose the set of humans equals the set of leaders. Both premises remain true. But Conclusion I would be false in that model, hence I does not follow necessarily.
Why Other Options Are Wrong:
Common Pitfalls:
Confusing “Some A are B” or “All A are B” with its converse; assuming that a proper subset relation was stated when only subset inclusion was given.
Final Answer:
Only Conclusion II follows.
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