Thanks for sharing your profile. You are current about the Indian IT Male overrepresentation - because so many candidates with this profile apply, the bar is very high to differentiate yourself. I'd say you have a slight edge on these candidates, but let's break it down:
Academics: Many applicants in your candidate pool do apply with 750-ish scores, so while your score is competitive against the broader applicant pool, it may be considered slightly low within your applicant pool. Your undergrad scores, when considered absolutely against other applicants who are in the 70-75% range, may appear low, too. But I believe you should address this in an optional statement or make it very clear when reporting your scores that your school averages were very different (make it clear that you were at the top of your class).
Professional experience: It's great that you're working for a big 4 consulting company. Sounds like you have more of a consulting/client-facing role than a purely technical role, so that is really good. Between your professional leadership and your involvement/leadership in other firm activities (football, etc.), I think you'll stand out compared to others in your applicant pool on this dimension.
Extracurricular/community: You were very involved in college, demonstrate a clear passion for football and you've had some good community experience (albeit somewhat short/recent).
Your school choices are okay, but I'd say though that Kellogg and Tuck may be reach programs. Tuck has a very small class size, therefore a very low acceptance rate. I'd suggest swapping these programs out for some more realistic targets like Duke, Darden, Michigan, UCLA.
I'm not sure whether scholarships are mostly awarded in R1 - I think scholarships are awarded to the strongest candidates, not to the fastest. R1 and R2 acceptance rates do not vary too much (better to submit a stronger application in R2 than a mediocre one in R1), but submitting in R3 is very risky and unadvised.
As for whether to retake the GMAT - it would probably help you if you could reach that 740/750 score given the level of competition in your applicant pool. If you have the time and you really want to try for a top program and you really believe you could boost your score 30ish points, I'd say you ought to. Then again, if you've got a high risk tolerance, you can apply with your current score and see what happens! A lot depends on you
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