Resolved Question

Out of curiousity, if a guy had to pick one of the following in a woman, what would it be? Cute and Sexy, Beautiful and Sexy, or Smart and Sexy?

Ok, well, call me shallow, but beauty you are BORN with, smart you aren't. You can always teach people things, no matter how unwilling to learn they may seem to be. Obviously, I fully disagree with the Ron White quote, "You can't fix stupid."...because it's flat out not true. You CAN fix ignorance, stupidity, boorishness, or any other form of "not being intelligent enough for you elitists". It's called reading and learning and helping to make knowledgeable through experience. SO give me a gorgeous, ditzy girl all day long. I'll help her beat you at math.
Now, to sort of play Devils Advocate, the broadness of the question and it's prescribed answers don't really do much for me in general, regardless of my previous diatribe. I like a girl who is somewhat sexy, but not too much because sex appeal seems to be the downfall of any good relationship...and then beauty itself is completely in the eye of the beholder, so who's to say a girl is beautiful just because I say so? And obviously I don't want a girl who's dumb as a rock and has no spark for learning, but there's something to be said for a healthy amount of innocence and naivete', in order to make one feel like they have something to offer that hasn't been offered before. Any combination of these things can be good for a short-term relationship, and some of them prove to make it through into long-term ones.
ACTUAL traits you should look for in your prospective mate:
Nice eyes
A willingness to try new things, both intellectually and physically.
A strong will and determination to not be part of the herd.
A healthy interest in sexual conduct(or misconduct, as the case may be)
Stick to these things and you'll do better than the guy going for a girl just because she's already smart or gorgeous.