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It's not hard to get a perfect score in the quantitative section. You just need to be decent at math, and simply careful and tedious not to make mistakes. It's not hard to get in the 99 percentile of verbal either - just memorize a lot of words, practice, and learn some of the tricks (e.g. for analogy questions, you can eliminate 3 of the 5 choices even if you don't know the meaning of both words presented to you).
Now when they had the analytical section (different from the current one - they retired it in about 2004) - that was a bit more challenging. And that was the one that set people in top schools apart. Getting a near perfect score (770-800) in quantitative was the norm for people applying to any of the top 10 grad schools in technical fields. But the analytical section was tougher. I think Caltech had the highest median (about 780). The next highest was Wisconsin with 750. The next highest after that was 720, and the rest of the top 10 were in that vicinity.
But they scrapped that section - the only one that was a useful differentiator.
Anyway - bottom line is getting good grades in GRE in the old days (and I suspect today as well) is mostly an exercise in memorizing words, and learning test taking strategies - including simple things like if you have to solve an equation and have 5 choices for x - don't bother solving it - just plug each x in to the equation to see which one works.
Most people don't do this well because:
1. They cram - spend only 2 months preparing for it.
2. They don't spend time in figuring out efficient test taking strategies. Actually, they don't need time - they just need to read a few books on the topic!
I spent over a year preparing for it (only a few minutes a day, and with gaps of weeks at a time). It wasn't hard to get a perfect score in two of the categories and a 99 percentile in the third. And then when I went to grad school, I didn't perform better than those whose score was nowhere near as good.