GV, thanks for the compliment.
I wanted to point out that Columbia is in fact among the ultra-elites. In fact, given recent admit rates and yields, I argued in a prior post that Columbia is now as difficult to get into as Wharton. Admit rates at Wharton over the last four years have been 13%, 16%, 16% & 21%; yields were 74%, 70%, 68% & 69%. Admit rates at Columbia over the last four have been 11%, 12%, 15%, 15% and yields 72%, 76%, 71% & 76%, besting Wharton in both areas virtually every year. Now, there are probably differences in quality of applications, but suffice to say Columbia is
hard to get in to. Columiba is also solidy with the ultra-elites in terms of reputation, job prospects, etc.
NYU, on the other hand, is among the next grouping of schools. Just a personal annecdote, I spoke with an NYU representative at the MBA fair in San Francisco a few days ago. I asked her about the prospects of competing for a job on the west coast and spcifically after graduation from NYU and she kind of got a funny look on her face. NYU clearly has much influence in New York City (which should work fine for you) but for those planning to work elsewhere, it would be advisable to do your research.
Now regarding your scores, I think you are correct that many of the top schools (and especially Columbia and NYU) look closely at the Q portion. That said, your 46/78% is not far off from the mythical 80% mark that many schools prefer. However, because your GPA is towards the bottom end of the 80% range at these schools, and your GMAT is average to slightly above, you probably need to at least consider re-taking. As it stands, unless you can really distinguish yourself elsewhere in your application, you are a long shot at Columbia and probably no better than an average applicant at NYU. 720 is a very good score, but given the quantitative bents of these two schools, I think a few more points could help. If you think you can impove by 30 points overall, then your GMAT could effectively balance out your lower than average GPA.