Difficulty: Medium
Correct Answer: Only Conclusion II follows
Explanation:
Introduction / Context:
This item probes existential import and subset reasoning. Premise (1) nests Trees within Leaves; Premise (2) makes Fruits overlap Leaves.
Given Data / Assumptions:
Concept / Approach:
Conclusion I requires Fruits∩Trees ≠ 0, which is not guaranteed. Conclusion II claims the existence of at least one Tree (hence a Leaf that is a Tree). In standard exam convention, universal classes are assumed non-empty unless stated otherwise, allowing II.
Step-by-Step Solution:
C1: “Some fruits are trees” – not forced; the fruit-leaf overlap can be outside Trees entirely.C2: “Some leaves are trees” – with non-emptiness assumed for the class Trees, at least one Tree exists and is a Leaf, so II follows.
Verification / Alternative check:
Countermodel for I: Place Fruits in the leaves region disjoint from Trees. Premises hold; I fails. For II, any non-empty Trees set suffices.
Why Other Options Are Wrong:
“Both” and “Only I” are too strong; “Neither” ignores the standard non-emptiness convention used in reasoning questions.
Common Pitfalls:
Confusion over existential import. Many learners incorrectly try to infer I from the separate facts about Leaves.
Final Answer:
Only Conclusion II follows.
Discussion & Comments