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GATE 2022 PI – Question 9

General Aptitude · Analytical Aptitude: Logical Reasoning, Deduction and Analogy · 2 marks · Multiple choice

Statements: some engineers are writers; no writer is an actor; all actors are engineers. Conclusions: I some writers are engineers; II all engineers are actors; III no actor is a writer; IV some actors are writers. Which option follows?

  1. Only I
  2. Only II and III
  3. Only I and III
  4. Either III or IV

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Show answer and explanation

Correct answer: (C) Only I and III

Explanation

The existential overlap in statement 1 is symmetric, so I holds. Disjointness of writers and actors is symmetric, so III holds. Statement 3 cannot be reversed to infer II; IV contradicts statement 2. Thus **I and III, C**.

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