having perfect SAT scoresHaving perfect SAT scores, that is literally at the peak of the scoring scale on all test sections, is still quite rare.
http://media.collegeboard.com/digitalServices/pdf/SAT-Percen...
All students with perfect SAT scores could fit comfortably into the entering class of just one of the eight Ivy League colleges, with none left over for MIT, Stanford, Caltech, or any of the other seven Ivy League colleges.
The mathematical consequence of this (by the pigeonhole principle) is that all elite colleges, without exception, admit many students who missed questions on the SAT. Caltech is almost the only college with a small enough entering class to have a possible chance of having a majority of enrolled students with literally perfect SAT scores. The interquartile score ranges reported for the most recent first-year class at Caltech
http://collegesearch.collegeboard.com/search/CollegeDetail.j...
show that even Caltech has to enroll a majority of new students who missed questions on the SAT.
I am of course fully agreed that a strong application to colleges that selective includes not only high test scores and high grades in challenging subjects, but also involvement in some meaningful extracurricular activity.