> It took him a few minutes just to realize that the test covered the same topics, while I thought the test was merely "hard" pedestrian content. Once I talked him through the problem, he realized how cool it was, and then he realized one of the key differences between our schools -- the boundaries of my thinking on topics were challenged and stretched much, much more aggressively.

Well as long as you were able to demonstrate that you were better than him, it's all OK.