I was speaking in general terms because I did not want to pick out specific schools that are considered "better" and more academically rigorous than others. I simply wanted to acknowledge that the average freshman at Harvard or Williams probably sees a harder test than her counterpart at Ohio State. The price and prestige of a school are not always good indicators of quality, but I am very confident that selective schools that receive the top students have curricula to challenge those students. There are certainly exceptions: I go to a private university that is leagues behind some of the top public institutions: Berkeley, UCLA, UMich (among others) provide excellent educations, and they are much more academically rigorous than my private institution and many like it.
I am not saying that students who go to a private college are "better" or more likely to succeed. My point is that more selective (and generally private) schools are accustomed to receiving students that have been groomed for academic success throughout high school, and thus the bar for academic rigor starts out at a higher level. The crux of my original comment was to propose a solution for identifying just how high the bar is set on that first batch of exams, to see if you are ready. Knowing what is coming would prevent the overwhelming feeling of depression and "not belonging" that comes with failing a test in a new, scary environment. My point was somewhat obscured and vague, so thank you for challenging me to clarify.
As a rising senior in college, this is just a personal observation derived from my choices and conversations I have had with friends.