Don't hold it against me, but as I was watching Beauty and the Nerd, I really wondered where they found the contestants. Allow me to give some examples of questions posed in the elimination contest.
Where can you find the bikini line on a female body? Possible answers : around the shoulders, around the chest, around the groin. The nerd answers : "the chest". No score :)
On a car with a manual transmission, which pedal is used to brake? Possible answers : The right, the middle or the left pedal. The Beauty answers : "the right". Crash! No score.
By all means, if these two would mate, you'd get average looking dumb offspring, grin.
I can understand not knowing everything about everything, but these questions ain't hard. They're common knowledge - as far as I know. Maybe I'm just not nerdy nor beautiful enough :)