Which of the following propositions is contradictory to the proposition “All cats are Carnivores”?

Correct option is A

The contradictory statement to a universal affirmative proposition like "All cats are carnivores" (symbolically, A) is a particular negative proposition like "Some cats are not carnivores" (O). Contradiction occurs when one proposition must be true if the other is false, and vice versa.
· (a) Some cats are not carnivores: Correct, because it directly denies the claim that all cats belong to the category of carnivores.
Information Booster: 1. Contradictory propositions are mutually exclusive; one must be true, and the other false.
2. Universal affirmative (A) and particular negative (O) propositions are contradictory.
3. Similarly, universal negative (E) and particular affirmative (I) propositions are contradictory.
4. Contrary propositions (e.g., A and E) can both be false but cannot both be true.
5. Subcontrary propositions (e.g., I and O) can both be true but cannot both be false.
Additional Knowledge: · (b) Some cats are carnivores: A particular affirmative proposition (I) is not contradictory to the universal affirmative (A) because they can both be true.
· (c) No cats are carnivores: A universal negative proposition (E) is contrary to the universal affirmative (A). While both cannot be true, they can both be false.
· (d) No carnivores are cats: A universal negative statement unrelated to the given context; it does not address the classification of cats as carnivores.