[hiq]

Without the alternative easier exams to compare with and the grading scheme that were used, these problems do not mean much regarding the discrimination that took place. It is quite common to give good grades even when the exercises have not been solved completely, but interesting thoughts and ideas have been exposed, especially in mathematics.

Off topic, but regarding problem 2, a math professor once told me of a PhD student who started studying this kind of functions. He spent some time to discover their many interesting properties, until the professor made him understand why these functions were so regular, and that he had actually wasted his time. Funny to see this again.