Two propositions are contradictory if which of the following hold? Choose the correct answer from the options given below.

1.They cannot both be true

2.One of the pair will be 100% true and the other will be 100% false

3.They can both be false

4.They cannot both be false

A1 and 3 only

B1, 2 and 3 only

C2 only

D1, 2 and 4 only ✓ Correct

Correct answer: (D) 1, 2 and 4 only

Explanation

Contradictories can neither both be true nor both be false.

Statement 1 states that they cannot both be true.

Statement 4 states that they cannot both be false.

Statement 2 states that exactly one is wholly true and the other wholly false.

Together these capture the strict opposition of a contradictory pair.

Any claim that both could be false at once misstates that relation.

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