Paper 1 · Logical Reasoning
UGC NET June 2024 Re-Exam (04.09.2024) Shift-II
Which of the following statements are logically equivalent? Choose the correct answer from the options given below.
- 1. All cows are herbivores.
- 2. All herbivores are cows.
- 3. Some herbivores are cows.
- 4. No cows are non-herbivores.
A1, 2 only
B2, 4 only
C2, 3 only
D1, 4 only ✓ Correct
Correct answer: (D) 1, 4 only — Statements 1 and 4 are logically equivalent, so that is the answer.
Explanation
★Statements 1 and 4 are logically equivalent, so that is the answer.
★'All cows are herbivores' is a universal affirmative.
★Its obverse is 'no cows are non-herbivores'.
★A statement and its obverse are logically equivalent.
★So statements 1 and 4 carry the same content.
★Hence 1 and 4 only is correct.
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