I didn't see the particular episode that you're referring to but Howard has done a lot of those types of shows. Smartest stripper, smartest porn star, smartest Playmate. He asks some really easy questions, "Who is our current president?", "Who wrote Romeo and Juliet?", "Which one is not a state: a) New York, b) New Mexico, or c) Canada?" These girls always seem to get these wrong but keep insisting that they're going to be a doctor one day.
My favorite is when he had the Playmates on his show and one of them kept saying that she wants to go to Med school (keep in mind that she hadn't gone to college). Howard asked her, "Who was the first president of the US?" She was like, "Ummmm....Clinton?"
I wonder if these girls are just putting on an act or if they're really that dumb. Even still, why would you pretend to be dumb?