I played a baby shower game that could be modified to be appropriate for your work situation. Everybody is given two slips of paper, on one they write a problem and on the second they write a solution. The problem slips are jumbled up and passed back out randomly, the same is then done with the solution slips. They are then read out loud by the new recipients. I can't remember how they decide if anybody "won" the game, or if it the whole point was just to read silly mismatches and giggle with the effect of mimosas.