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Which of the following statements is logically equivalent to the statement- "No cats are non-feline."?
Question



Which of the following statements is logically equivalent to the statement-
"No cats are non-feline."?

A.

No felines are cats.

B.

All non-cats are feline.

C.

All cats are feline.

D.

All felines are cats.

Correct option is C


The statement "No cats are non-feline" is logically equivalent to saying "All cats are feline." This is because the original statement excludes the possibility of any cat being something other than a feline, which implies that every cat must be a feline.
Information Booster:
1. The statement "No cats are non-feline" negates the idea that any cat could belong to a category other than feline, which is equivalent to affirming that all cats are felines.
2. "All cats are feline" is a universal affirmative statement that covers all instances of the subject (cats) within the category of felines.
Additional Information
Option (a) "No felines are cats": This is incorrect because it implies that felines and cats are mutually exclusive, which contradicts the original statement that all cats are felines.
Option (b) "All non-cats are feline": This is incorrect because it suggests that everything that is not a cat is a feline, which is not logically related to the original statement.
Option (d) "All felines are cats": This is incorrect because it implies that all felines are cats, whereas the original statement only specifies that all cats are felines, not that the reverse is true.

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