^Well, it does sound a bit like a scene out of The Office.
Yeah, it really does sound like something they would have done. Holy crap, that's awkward. Seriously, there's a time and place and that can't possibly be it.
However, that's what the boss gets for picking a slightly more complicated ice breaker. Just do the name, where you're from, and random fact formula that everyone hates and get it over quickly (or, as pointed out before, don't do icebreakers).