Yes.
Very intelligent people, like very beautiful people, know that they are. Intelligence is a very good thing and stupidity (or at very best average middling mediocrity, which functionally amounts to the same thing) a very bad thing.
That should be quick, clear, easy and simple. The only reason it isn't is that we live in a dumbed-down, stupid-worshipping degenerate culture where there is a cult of the stupid (Jade Goody becomes a massively wealthy reality TV star; people become celebrities because of how they bake cakes, etc.) and excellence in any field is waved away as posh, arrogant elitism.
I like elitism. I like brilliant people doing great things at the very top of their bent. Big Macs and Eastenders and the Daily Mail can mop up the remainder.