Difficulty: Easy
Correct Answer: Only II, III and IV follow
Explanation:
Introduction / Context:
This is a classic chain of subset relations. The key skill is keeping track of inclusions and identifying which existential statements are warranted by the universals given the usual non emptiness convention in such exam problems.
Given Data / Assumptions:
Concept / Approach:
Transitivity of subset works for universal affirmatives: if F ⊆ Bk and Bk ⊆ B, then F ⊆ B. From universal plus non emptiness, we may infer some statements like some buses are books (pick any book, it is a bus). However, without an explicit link between fruits and jungles, we cannot infer their overlap.
Step-by-Step Solution:
Verification / Alternative check:
Set diagram: place F inside Bk inside B. Place J also inside B but not intersecting F to see that I need not hold, while II, III, IV remain valid.
Why Other Options Are Wrong:
Common Pitfalls:
Assuming overlap between unrelated subclasses (fruits and jungles); forgetting to apply subset transitivity; overlooking that universal statements with existing classes permit some conclusions.
Final Answer:
Only II, III and IV follow
Discussion & Comments