<p>Well, from my own personal experience, I would say Duke is a more recognized name, but that is in the US, so it doesn’t really answer your question. I actually think because of its sports name recognition, more generic people know the name Duke. I can vouch for the fact that I have told many people after they asked where I attended college, “Brown” and they just stared at me blankly! 
Everyone knows HPYS (“S” of which is actually NOT an Ivy) and MIT, but not everyone knows Brown, Columbia, Dartmouth, and Penn. (There’s Cornell, too, but I’m not sure how to categorize that one). My husband went to Penn and most people assume he means Penn State when he tells them! :D</p>
<p>So, apply to Duke!!!</p>