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GATE 2023 CH – Question 6

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

Human beings are one among many creatures that inhabit an imagined world. In this imagined world, some creatures are cruel. If in this imagined world, it is given that the statement "Some human beings are not cruel creatures" is FALSE, then which of the following set of statement(s) can be logically inferred with certainty?
(i) All human beings are cruel creatures.
(ii) Some human beings are cruel creatures.
(iii) Some creatures that are cruel are human beings.
(iv) No human beings are cruel creatures.

  1. only (i)
  2. only (iii) and (iv)
  3. only (i) and (ii)
  4. (i), (ii) and (iii)

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Correct answer: (D) (i), (ii) and (iii)

Explanation

If "some human beings are not cruel" is false, then no human being is non-cruel, so all human beings are cruel (i). Since human beings exist, some human beings are cruel (ii), and so some cruel creatures are human beings (iii). Statement (iv) contradicts (i).