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GATE 2018 ME (ME1) – Question 10

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

Consider (i) Some roses are red. (ii) All red flowers fade quickly. (iii) Some roses fade quickly. Which inference is valid?

  1. If i is true and ii false, iii is false.
  2. If i is true and ii false, iii is true.
  3. If i and ii are true, iii is true.
  4. If i and ii are false, iii is false.

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Show answer and explanation

Correct answer: (C) If i and ii are true, iii is true.

Explanation

If some roses are red and every red flower fades quickly, those particular roses must fade quickly. Thus i and ii together imply iii, **C**. When the universal red-flower statement is false, the fate of the red roses is not determined by that fact alone.