I was once asked to write a function that, given the time, draw an analog clock. Given the nature of the position I was applying for, this wasn't an unreasonable question.

I wrote something on a whiteboard. What followed was the most surreal discussion I've had in an interview. My function took into account the seconds, minutes and hour for the hour hand, and so on. Just like a normal clock would. The interviewer insisted this was wrong. I tried to tease out of him if we were talking about what to do if the specs made no sense, or if he wanted me to draw an unusual clock face. Nope. He just insisted I had no idea how clocks work. I spent the interview trying to understand what he was really asking of me as politely as I could while he spent the interview insisting I didn't know how something as basic as a clock works.

To this day I don't know what he really expected out of me. I wasn't surprised when I learned they didn't want to hire me. I doubt I would have wanted to work there after that interview.