A a good friend of mine interviewed with one of the current powerhouses of technology when they weren't quite so big.

After successfully navigating a few rounds of technical interviewing they gave him one of those famous brain teaser type questions. He responded by asking the interviewer to explain how the question would be relevant to his work with the company.

The interviewer immediately explained that he clearly "wasn't a good fit" and ended the interview.

I tend to feel they were both "right".