Microsoft's Personnel Puzzle
I remember touring the Microsoft headquarters in Redmond (I was young, okay?) and one of the people who was speaking to our group mentioned how the interviewer she had was considerably more interested in hearing that the she had a mother with Diabetes rather than technological prowess. Another person who was speaking to us said that he received a similar interview process, and it all came down to a question about moving a certain amount of water using a single 5-gallon bucket. The question was so obscure I can hardly even remember the details.