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
Explanation
Three statements about contraries hold: they cannot both be true, they can both be false, and if one is true the other must be false.
Contrary propositions are the two universals A and E.
They can never be true together, which is the defining mark of contrariety.
They may, however, both turn out false at the same time.
Hence the truth of one immediately forces the other to be false.
Only the claim that they cannot both be false fails, so the remaining three hold.
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