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GATE 2023 MT – 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

Negating some humans are not cruel gives all humans are cruel. The setup states that humans inhabit this world, so the human set is nonempty. Consequently some humans are cruel and some cruel creatures are human. Statements i,ii,iii follow and iv does not: **D**.