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Which of the following propositions are so related that if one is true, the other must be false, although both can be false?

1.All novels are books.
2.Some novels are not books.
3.No novels are books.
4.Some novels are books.
A2 & 4 only
B3 & 4 only
C1 & 3 only ✓ Correct
D1 & 2 only
Correct answer: (C) 1 & 3 only
Explanation

Statements 1 and 3 are related so that if one is true the other must be false, yet both may be false.

Statement 1, 'All novels are books', is a universal affirmative.

Statement 3, 'No novels are books', is the universal negative on the same terms.

A universal affirmative and a universal negative are contraries, which cannot both be true but can both be false.

Statements 2 and 4 are particulars, so they do not form the contrary relation.

Hence the contrary pair is the first and the third.

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