Something about this doesn't sit right with me, but I'm not sure I can put my finger on it.
When I go to a job interview I expect to be asked honest questions and intend to give honest answers. You want me to do a team activity? Ok, fair. You're giving me and a bunch of people a problem you *know* we can't solve, just to watch us panic? That. That just feels wrong.
I am a strong opponent of the "in this company we're like a family" discourse, but I also like to work for people that I don't dislike. If this is an asshole detection test, I'm afraid I just detected the company.