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I'll be taking the October test, and I just wanted to know if it's going to make a real big difference if I choose to apply at a school towards the end of november (to give myself time to get my scores and put together a good application). Will it hurt me in any substantial way?

Apps are typically reviewed in the order they are received, I think.

I don't think it makes much difference in terms of acceptance, but it can make a difference in getting a scholarship.