​What conclusion can be drawn from the premises 'All teachers are hardworking persons' and 'Most hardworking persons are woman'?​

Premises:

I. All teachers are hardworking persons.

II. Most hardworking persons are women.

From the Premises following Venn diagram can be –

A. All women are hardworking persons – This does not follow because we only know that most hardworking persons are women, not all.

B. No teacher is a woman – This is not supported by the premises because we know that most hardworking persons (which includes teachers) are women.

C. Some women are hardworking persons – This is a valid conclusion because if most hardworking persons are women, then some women are definitely hardworking persons.

D. All teachers are women – This cannot be concluded because while all teachers are hardworking persons, the premises do not state that all teachers are women.

The correct conclusion is  "Some women are hardworking persons"

Thus, correct answer is (c) Some women are hardworking persons