Difficulty: Easy
Correct Answer: Both Conclusions I and II follow.
Explanation:
Introduction / Context:
We combine a universal inclusion with a universal exclusion and test both a universal negative and an existential conclusion.
Given Data / Assumptions:
Concept / Approach:
If Erasers are disjoint from Papers and Pens are within Papers, then Erasers and Pens are disjoint (I). Also, if any pen exists, it is a paper, so at least some papers are pens (II).
Step-by-Step Solution:
Verification / Alternative check:
Venn diagrams depict Pens inside Papers and Erasers disjoint from Papers; both conclusions are immediate.
Why Other Options Are Wrong:
Options denying either I or II contradict the straightforward set relations.
Common Pitfalls:
Overlooking that an existential like 'some papers are pens' is justified by non-emptiness of Pens in typical exam logic.
Final Answer:
Both Conclusions I and II follow.
Discussion & Comments