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GATE 2022 CY – Question 9

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

Given below are three statements and four conclusions drawn based on the statements. Statement 1: Some engineers are writers. Statement 2: No writer is an actor. Statement 3: All actors are engineers. Conclusion I: Some writers are engineers. Conclusion II: All engineers are actors. Conclusion III: No actor is a writer. Conclusion IV: Some actors are writers. Which one of the following options can be logically inferred?

  1. Only conclusion I is correct
  2. Only conclusion II and conclusion III are correct
  3. Only conclusion I and conclusion III are correct
  4. Either conclusion III or conclusion IV is correct

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Correct answer: (C) Only conclusion I and conclusion III are correct

Explanation

Some engineers being writers implies some writers are engineers: conclusion I. No writer is an actor also means no actor is a writer: III. The remaining conclusions either reverse an invalid universal implication or contradict disjointness.

Thus **I and III only, C**.