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GATE 2021 ME (ME2) – Question 6

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

Given below are two statements 1 and 2, and two conclusions I and II. Statement 1: All entrepreneurs are wealthy. Statement 2: All wealthy are risk seekers. Conclusion I: All risk seekers are wealthy. Conclusion II: Only some entrepreneurs are risk seekers. Based on the above statements and conclusions, which one of the following options is CORRECT?

  1. Only I
  2. Only II
  3. Neither I nor II
  4. Both I and II

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Correct answer: (C) Neither I nor II

Explanation

The given inclusions are entrepreneurs⊆wealthy⊆risk seekers. They imply **all entrepreneurs** are risk seekers.

I incorrectly reverses the second inclusion. II says only some entrepreneurs are risk seekers, contradicting the implication that all are. **Neither, C**.