Which of the following statements is logically equivalent to the statement 'All beverages are liquid'?

AAll non-liquids are non-beverages ✓ Correct

BSome beverages are liquid

CAll liquids are beverages

DSome liquids are beverages

Correct answer: (A) All non-liquids are non-beverages

Explanation

The equivalent is 'All non-liquids are non-beverages'.

The given statement is an A proposition, all S are P.

Contraposition is a valid immediate inference for A propositions.

It negates and interchanges the terms: non-P becomes the subject and non-S the predicate.

So 'all beverages are liquid' becomes 'all non-liquids are non-beverages'.

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