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GATE CSE 2021 Set 1 Q9: Syllogism: bacteria, pathogens and microorganisms

Question

Given below are two statements 1 and 2, and two conclusions I and II.

Statement 1: All bacteria are microorganisms.

Statement 2: All pathogens are microorganisms.

Conclusion I: Some pathogens are bacteria.

Conclusion II: All pathogens are not bacteria.

Based on the above statements and conclusions, which one of the following options is logically CORRECT?

Try it: multiple choice: exactly one correct option

Select one option
Wrong answer costs 2/3 mark in GATE.
Show answer and explanation

Answer: C, D (official GATE 2021 final answer key)

Concept used: Two sets inside a common superset may or may not overlap; nothing definite follows about their relation.

First step: Draw Venn diagrams: bacteria and pathogens are both inside microorganisms, with no stated link between them.

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Source: official GATE 2021 Set 1 CS question paper and final answer key, organised by IIT Bombay. Question paper · Answer key

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