I tell the interviewer that I will not answer that question since everyone has their pet answer which is just some kind-of strength masquerading as a weakness.

I tell the interviewer that I will not answer that question since everyone has their pet answer which is just some kind-of strength masquerading as a weakness. No one actually tells the interviewer their 'greatest' weakness so the question is bogus, and in my opinion, the sign of a weak interviewer.