GATE 2021 ST – 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 is correct.
Only II is correct.
Either I or II is correct.
Both I and II are correct.

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Show answer and explanation

Correct answer: (C) Either I or II is correct.

Explanation

The premises put both sets inside green but do not determine whether they overlap. The overlap is either nonempty,which makes I true,or empty,which makes II true. These are mutually exclusive exhaustive cases. Thus **C** uses “either” as this disjunction;neither conclusion follows individually.

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