Difficulty: Medium
Correct Answer: Neither I nor II follows
Explanation:
Introduction / Context:
This problem checks careful reading of quantifiers and subgroup qualifiers. We have one existential about “Indians” and one conditional preference limited to “educated men”.
Given Data / Assumptions:
Concept / Approach:
(I) reverses the given direction (“educated men ⇒ prefer small families”) into a universal about all small families; this is a converse fallacy. (II) needs at least one Indian who is both educated and a man; “Some Indians are educated” does not require that the “some” are men.
Step-by-Step Solution:
To force (II), we would need ∃ (Indian ∩ Educated ∩ Man). The premises do not assert this.To force (I), we would need SmallFamily ⊆ Educated (or ⊆ EducatedMen), which is absent.
Verification / Alternative check:
Countermodel: All educated Indians are women; educated men (if any) are non-Indians. Then (II) fails. Also, there can be small families formed by uneducated persons, so (I) fails.
Why Other Options Are Wrong:
Any option claiming a forced conclusion ignores the missing links (gender condition for II; converse direction for I).
Common Pitfalls:
Forgetting subgroup qualifiers (“men”) and illicitly converting conditionals.
Final Answer:
Neither I nor II follows.
Discussion & Comments