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Which of the following statements are true about contrary propositions? Choose the correct answer from the…

Paper 1 · Logical Reasoning UGC NET June 2024 Re-Exam (04.09.2024) Shift-I
Which of the following statements are true about contrary propositions? Choose the correct answer from the options given below.
  • 1. They cannot both be true.
  • 2. They cannot both be false.
  • 3. They can both be false.
  • 4. If one is true, then the other must be false.
A2, 3 only
B1, 2, 3 only
C1, 3, 4 only ✓ Correct
D4 only
Correct answer: (C) 1, 3, 4 only — Statements 1, 3 and 4 are true, so that is the answer.
Explanation
Statements 1, 3 and 4 are true, so that is the answer.
Contraries cannot both be true.
But they can both be false.
If one is true, the other must be false.
They can both be false, so statement 2 is wrong.
Hence 1, 3 and 4 only is correct.

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