Beauty and the Geek / Season 5 / Flame Broiled Geeks

A group of "Beauties" and a group of "Geeks" are paired up to compete as couples for a shared $250,000 and other prizes. Each beauty lives together in a room with her geek during the course of the competition. There are challenges shown each episode, one testing the beauties on a primarily academic subject, and another that has the geeks competing in a more popular/social realm. The winners of the challenges select two teams to compete against each other in a pure "quiz show" type question and answer session: the team with fewer correct answers gets eliminated.