I did better than I deserved to do on the GRE, based on my mathematical ability. No one beat my math GRE score -- I got the highest score possible -- yet I know many friends whose knowledge of mathematics dwarfs my own.
I conclude, from this, two things: I'm good at guessing correctly, and good at taking tests. Standardized tests measure, more than anything else, the ability to take standardized tests.
The importance of such tests has been greatly exaggerated, and this problem only seems to be getting worse.
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Aspie score: 156/200 . . . Non-Aspie score: 50/200
(I dislike the term "neurotypical," so I changed it to something non-judgmental.)