<p>In terms of difficulty of admission, the general trend would be:</p>
<p>Harvard > MIT > Cornell > CMU > Georgia Tech > Virginia Tech > Mississippi State</p>
<p>With Harvard, MIT and Cornell (Engineering I presume) all being highly unlikely (32 Math, 690 Math IIC and 700 Physics put you at a large disadvantage for all of them). I know several people from my HS going to CMU, and let me tell you it is simply on a lower level than Ivy plus schools – you have a decent shot there.</p>