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Much obliged.
What would be the minimum years of work experience for a competitive application in my case?
I would say that 2 years would be the absolute minimum for top schools. Even then it is a long shot, and you have to have AMAZING experience. I would spend all your time and energy getting a better job and making the rest of your application more robust.
Just remember, a 760 GMAT is not a pass into top schools. Its great, don't get me wrong, but it is one of many aspects of an application. Much of the rest of these aspects you do not (yet) have. Most importantly would be work experience. If you don't have a solid professional job, then it will definitely make it harder for you. Also, with no extracurriculars or leadership experience, you are in a tough spot. I find it hard to believe that you have NONE. But if you don't, I would recommend getting on this as SOON as possible, especially if you can gain some leadership experience in an EC role. BSchools don't just want people that can use big words, score 760s, and recite the first 20 digits of pi. They want people that will excel in the business world, and have shown a track record of leadership and achievement. A 760 along could really help get you into many lower tier schools (oustide the top 25) but once you get inside that range, the GMAT is really just a checkbox. Once they see that you are GPA and GMAT reach a certain threshold, they will move onto the rest of your application.
If you'd like to work in another field, maybe you can join an Extra Curricular (EC) that has something to do with your job path. Maybe you can gain some professional experience in that direction. Maybe you can start your own small side business.
Just remember, the average top school has a GMAT of 710-720, 4+ years of work experience, and many bells and whistles of college EC's, leadership positions, and strong companies they've worked for. You've got the GMAT down, and never have to worry about it again (atleast for 5 years) and at this point you should really be working on building the rest of your application. Harvard, Stanford, Wharton all reject many 760+ (and even 800s!) every year, and for the exact reason you are facing.
Good luck and let us know if we can help guide you in the right direction.