Paper 1 · Logical Reasoning
UGC NET June 2024 Re-Exam (04.09.2024) Shift-II
Which two of the following propositions cannot both be false, though both of them may be true? Choose the correct answer from the options given below.
- 1. All cows are vegetarians.
- 2. No cows are vegetarians.
- 3. Some cows are vegetarians.
- 4. Some cows are not vegetarians.
A1, 4 only
B3, 4 only ✓ Correct
C2, 3 only
D1, 3 only
Correct answer: (B) 3, 4 only — Statements 3 and 4 are the pair, so that is the answer.
Explanation
★Statements 3 and 4 are the pair, so that is the answer.
★Sub-contrary propositions cannot both be false.
★'Some cows are vegetarians' and 'some cows are not vegetarians' are sub-contraries.
★So they cannot both be false, though both may be true.
★The universals 1 and 2 can both be false.
★Hence 3 and 4 only is correct.
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