The weirdest job interview I ever went to was for a sales position at a software development company. These guys had me do a Myers-Briggs test online a few days before the interview. After taking a day off and making a long drive to see these guys, the manager introduced himself by saying "We don't want you for this job. With your personality type you can't be a salesman. I let you come here anyway, though, because our web developer is really overwhelmed. Would you be willing to meet him and talk about working for him?"

It was so bizarre it took me a while to decide if they were insane or just incredibly rude. Upon reflection, they were both.