Which of the following statements is logically equivalent to the statement All women are honest human beings?

ASome women are non-honest human beings

BSome honest human beings are women

CSome women are honest human beings

DNo women are non-honest human beings ✓ Correct

Correct answer: (D) No women are non-honest human beings

Explanation

The equivalent statement is No women are non-honest human beings.

The original is the A proposition All women are honest human beings.

Obversion changes the quality and replaces the predicate with its complement.

All S are P thus becomes No S are non-P on the same subject.

An A proposition and its obverse are logically equivalent, giving No women are non-honest human beings.

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