There's also the problem that it's made to be intentionally difficult. I know several very bright people that went to CalTech and transferred to "easier" schoo

There's also the problem that it's made to be intentionally difficult. I know several very bright people that went to CalTech and transferred to "easier" schools like UCLA, Berkeley, and Brown. These were often students who were considered not only the top science/math students in their class in HS, but in some cases considered the top sci/math student the school had seen in years.