Question

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.

• A. only (i)
• B. only (iii) and (iv)
• C. only (i) and (ii)
• D. (i), (ii) and (iii)

Hint:

When dealing with logical statements, remember that if a statement is false, its negation must be true. This will help you infer the correct logic.

Answer 1

The Correct Option is D

- The statement “Some human beings are not cruel creatures” is FALSE. This implies that all human beings are cruel creatures.
- Statement (i): “All human beings are cruel creatures.” This is directly inferred from the falsity of the given statement.
- Statement (ii): “Some human beings are cruel creatures.” This is also true because if all human beings are cruel, then some of them certainly are.
- Statement (iii): “Some creatures that are cruel are human beings.” This must be true because if all human beings are cruel, then some cruel creatures must be human.
- Statement (iv) is not necessarily true, as it contradicts the other statements.
Thus, the correct answer is (D), as all three statements (i), (ii), and (iii) can be logically inferred.