Paper 1 · Logical Reasoning
UGC NET June 2024 Re-Exam (26.08.2024) Shift-I
Which of the following statements are correct about sub-contrary propositions? Choose the correct answer from the options given below.
- 1. If one is true, the other must be false
- 2. They cannot both be false
- 3. If one is false, the other must be true
- 4. They can both be true
A1 and 3 only
B2, 3 and 4 only ✓ Correct
C1, 2 and 3 only
D1 and 4 only
Correct answer: (B) 2, 3 and 4 only — Sub-contrary propositions satisfy statements 2, 3 and 4, so the answer is 2, 3 and 4.
Explanation
★Sub-contrary propositions satisfy statements 2, 3 and 4, so the answer is 2, 3 and 4.
★Sub-contraries are the two particular statements on the square of opposition.
★They cannot both be false at the same time, so statement 2 is correct.
★So if one is false, the other must be true, making statement 3 correct.
★They can, however, both be true together, so statement 4 is correct.
★So the claim that one being true forces the other false is wrong, excluding statement 1.
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