GATE 2021 ES – Question 6

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

Statements: all purple are green; all black are green. Conclusions: I some black are purple; II no black is purple. Which option is logically correct?

Only I
Only II
Either I or II
Both I and II

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Show answer and explanation

Correct answer: (C) Either I or II

Explanation

The premises do not establish whether black and purple overlap. Either their intersection is nonempty (I) or empty (II). These are complementary possibilities, so exactly one holds, although its identity is unknown. **C**.

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