Similar to what Tyra and Lara have said, I had questions that gaged my analytical process.
I had a series of interviews throughout the day--with 5 or 6 different people. I had about 4 or 5 of those types of questions.
How much does a 747 weigh? (I asked if it had passengers/luggage/full fuel tanks.)
One was regarding "Let's Make a Deal" and probabilities of choosing first (1/3 of getting it right) or choosing after one has been eliminated. I can't remember exactly how it was worded, but the answer wasn't what you thought. I do recall the interviewer having scratch paper out and a lengthy discussion. . .
Another had something to do with the probability that an oxygen molecule I breathed in that room was one that was also breathed by ___some famous person in history___ (can't recall who but he's been dead a long time).
Yes, this was for a position in an analytical group.
On the same day, the HR interviewed told me if he saw me walking down the street, he wouldn't pick me out to be "a mathematically inclined person".


He also said I could comment or not on that statement. I kept my mouth closed, because if I had said what I was thinking I probably wouldn't have gotten the job.