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Statements : (A) All Principals are men

(B) Some Women are Principals

(C) All humans are women

Conclusions : (I) All humans are men

(II) Some humans are women

(III) Some men are Principals

(IV) All women are men

Solution

Correct Option: 3

From (A) All Principals are men, by conversion, Some men are Principals follows, validating (III). (I) All humans are men cannot follow since (C) says humans are women. (II) cannot be derived in modern logic without existential import. (IV) directly contradicts (A) combined with (B). Only (III) follows.

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