<p>Not nearly twice as important. A person with a 2100 has an extremely low shot of getting into a top tier school. I’d take a 3.8/2400 over a 4.0/2100 any day. </p>
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<p>Sadly, there is a massive difference between 2100 and 2400 and even 2200 and 2400. Even a 100 point difference will help you (or hurt you) significantly in admissions. I don’t know where CCers get the idea that scores stop mattering at some arbitrary cut-off.</p>
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<p>30,000 people apply to Harvard, I think the number of 2300+ scorers is less than 10,000. Furthermore, not all of those 10,000 apply to Harvard so the vast majority of applicants have scores below 2300.</p>