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Which of the following statements are so related that one is the denial or negation of the other?

1.All aeroplanes are polluting vehicles
2.No aeroplanes are polluting vehicles
3.Some aeroplanes are polluting vehicles
4.Some aeroplanes are not polluting vehicles
A3, 4
B2, 4
C1, 4 ✓ Correct
D1, 2
Correct answer: (C) 1, 4
Explanation

Statement 1 and Statement 4 are contradictories, each the exact denial of the other.

Statement 1 is the universal affirmative "All aeroplanes are polluting vehicles".

Statement 4 is the particular negative "Some aeroplanes are not polluting vehicles".

To deny that all are polluting is just to assert that some are not.

Contradictories can never both be true and never both be false.

The universal affirmative and the particular negative stand in exactly this relation of mutual negation.

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