This "perceived arrogance" happens to me a lot with my friends. I'm kind of an intellectual in the sense that things like science, math, and literature interest me greatly, while this specific group of friends I'm referring to like to go home and play World of Warcraft for the better part of the day. Yet, when we have an argument about physics (my strongest "branch" of science) they actually challenge me and say that what I'm saying isn't true, and then call me arrogant when I say things like "Trust me, I've read up on this". It's perceived arrogance because I'm at a higher level than they are academically. The worst part is when I go home and send them actual evidence from people they might trust (people with doctorate degrees that wrote books usually does the trick) that supports whatever my argument was, they say things like "No one cares, Mike" and make the issue into something trivial because they're upset that I "won". This has happened in discussions about electrons, the effects of anti-matter, evolution, and much more.
I also do well on standardized tests (98% better than the rest of the population in this country in my grade level) and I have a relatively high IQ (147 last time I checked my score) and have been in advanced classes all my life, but even mentioning these things, which I'm obviously proud of and deserve the right to be proud of, leads to claims that I'm arrogant when I'm really not bragging or putting anyone down.
The fact is that no one, especially some kid who barely finished high school and who was raised by his parents (who didn't get passed the 9th grade) that evolution is false -- like my friend who I won't name, likes to hear you say "Listen, trust me, I know this stuff. I've read books on it, you haven't." Especially if it's true.