I'm assuming that the underlined word is answer and i think its transitive. but i'm not completely sure.
The sentence which is the most objective is <span>A. My mother taught Italian lessons at the community center.
</span>It is a fact, therefore it is objective. The other sentences are somebody's opinions - stupid sisters, crazy Greek family, a real pain - these words show that it is someone's opinion, which is subjective, not objective.
C( A book review written by a professional critic for publication.
I think the answer is a hyperbole because it doesnt have any like or as