Statements:(A) All Principals are men(B) Some women are Principals(C)…

The correct answer is Option (3) → Only (III) follows

Note: The given answer is as per the official NTA Answer Key. However, none of the given options appears to be correct. The correct answer is that both (II) and (III) follow, which is not there in any of the options, because ‘All humans are women’ also gives ‘Some humans are women’, as explained below. Two conclusions follow here, but the options left room for only one.

A conclusion follows only if it is true in every diagram the statements allow. An “all” statement puts one circle inside another, and it also gives the matching “some” statement both ways: if all X are Y, then some X are Y and some Y are X.

Conclusion (I): All humans are men. Does not follow. Humans lie inside Women, and nothing links Women as a whole to Men; the diagram above, with Humans outside Men, fits all three statements.

Conclusion (II): Some humans are women. Follows. Statement (C) says all humans are women, so some humans certainly are women.

Conclusion (III): Some men are Principals. Follows. Statement (A) puts all Principals inside Men, so some men are Principals.

Conclusion (IV): All women are men. Does not follow. Only the women who are Principals must be men; the rest of Women can lie outside Men.