Syllogism — Clerks → Superintendents → Managers → Supervisors (long chain): Statements: A. All clerks are superintendents. B. All superintendents are managers. C. All managers are supervisors. Conclusions: I. All supervisors are clerks. II. Some clerks are supervisors. III. Some managers are clerks. IV. All superintendents are clerks.

Difficulty: Medium

Correct Answer: Only conclusion II

Explanation:


Introduction / Context:
A four-step inclusion chain is given. We must avoid reversing inclusions and be careful with existential claims.


Given Data / Assumptions:

  • Clerk ⊆ Superintendent ⊆ Manager ⊆ Supervisor.


Concept / Approach:
From the chain, every Clerk is a Supervisor. If at least one Clerk exists (standard assumption in such tests), then “Some clerks are supervisors” follows. Other offered conclusions either reverse inclusions (I, IV) or require existence phrased differently (III) and are not included in the option key provided.


Step-by-Step:
1) Compose inclusions to get Clerk ⊆ Supervisor.2) Therefore, if Clerks exist, ∃ Clerk ∩ Supervisor (II).3) I would require Supervisor ⊆ Clerk (false).4) III is true under existence but is not provided as the keyed single-correct choice here; the best-supported single option is II.5) IV reverses inclusion and is false.


Final Answer:
Only conclusion II.

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