Statements: 1) Some clerks are poor. 2) A is poor. Conclusions: I) A is a clerk. II) A has a large family.

Difficulty: Easy

Correct Answer: Neither conclusion I nor conclusion II follows

Explanation:

Introduction / Context:This is a standard “Some A are B; C is B; therefore C is A?” trap. The logical fallacy is affirming the consequent in class terms. Additionally, adding unrelated attributes (like “large family”) is baseless.

Given Data / Assumptions:

  • Some clerks ∈ poor.
  • A ∈ poor.
  • No link between poverty and family size is provided.

Concept / Approach:From “Some clerks are poor,” the set of poor persons includes at least some clerks and possibly many non-clerks. Knowing A is poor does not place A inside the clerk subset. Conclusion II is entirely unsupported.

Step-by-Step Solution:1) Draw sets: Poor (P) contains a subset Clerks∩P.2) A ∈ P does not imply A ∈ Clerks∩P.3) No information about family size is given → II fails.

Verification / Alternative check:Counterexample: A could be a poor artisan, not a clerk—invalidating I. II remains unrelated.

Why Other Options Are Wrong:“Only I,” “Only II,” “Both,” and “Either” assert conclusions that overreach the premises.

Common Pitfalls:Confusing subset membership with universal membership; adding extraneous assumptions.

Final Answer:Neither conclusion I nor conclusion II follows.

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