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GATE 2022 ME (ME1) – Question 9

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

Given below are three conclusions drawn based on the following three statements.
Statement 1: All teachers are professors.
Statement 2: No professor is a male.
Statement 3: Some males are engineers.
Conclusion I: No engineer is a professor.
Conclusion II: Some engineers are professors.
Conclusion III: No male is a teacher.
Which one of the following options can be logically inferred?

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

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Show answer and explanation

Correct answer: (A) Only conclusion III is correct

Explanation

Teachers are inside the set of professors, and no professor is male, so no male is a teacher (III follows). The statements say nothing about the engineers who are not male, so neither I nor II can be inferred.