Same reason I dislike that sort of interview. Of course the thing to do is to throw in a spanner.
"Hmm, so I guess you didn't read about the Modified Banach-Wiles-Kolmogorov algorithm? I thought that was where we were going. Ok let's do it your way."
Throw this bomb on the way out, of course.
i have the perspective that these types of puzzle questions by the interviewer are pointless. and i was getting at the point that the interviewee asking similar pointed questions would be similarly useless. because it's easy to take that high and mighty stance instead of having a conversation. it creates an artificial environment that doesn't really exist in actual working environments.
and i generally feel that companies are far too arrogant in their hiring process. they very much create a one way dialog as if you should be thanking them for even interviewing you. they act like "we don't need you, you need us". it creates a very bad taste in my mouth, and even if i was to be offered employement by such companies, it is possible i would turn them down unless i am convinced that their work environment is distinctly different from their interviewing process.
you'll notice that none of these places that ask these types of questions allow the candidate to ask them technical questions. it's always a one way street. there's times where i have "failed" interviews of this type when i could guarantee i have "simple" questions that they couldn't answer about software and programming.