Which of the following is logically equivalent to the statement 'No liquids are beverages'?

AAll non-beverages are non-liquids.

BAll liquids are non-beverages. ✓ Correct

CSome beverages are not liquids.

DNo beverages are liquids.

Correct answer: (B) All liquids are non-beverages.

Explanation

The equivalent form is "All liquids are non-beverages", the obverse of the given proposition.

The given statement is a universal negative E, "No liquids are beverages".

Obversion changes the quality and negates the predicate, keeping truth intact.

Changing "No liquids are beverages" to affirmative and negating the predicate gives "All liquids are non-beverages".

This obverse says exactly what the original says, that no liquid falls among beverages.

Obversion being a truth-preserving immediate inference, the two are logically equivalent.

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