Hello!
First of all, congrats on the awesome GMAT score! Very impressive, especially on your first attempt
Your work experience sounds strong, especially the fast-track nature (hopefully that translates to some good leadership / management responsibilities) and the international exposure. You don't mention anything about extracurriculars / activities outside work but let's assume those are strong too. Your GPA is good, maybe not stellar, but you went to an IIT and have the really high GMAT, so not a huge concern.
To be honest your chances at Stanford and Harvard are going to be really tough. Stanford is the most competitive b-school in the world (only 7% acceptance rate!). Over 30 applicants have a really hard time at Harvard where the class skews quite young (average age is 27 there). So those two would definitely be high reaches. INSEAD and LBS are competitive too, but not quite as, so I feel better about your chances there. Plus schools in Europe tend to skew on the more experienced side. For more experienced applicants, I also often recommend MIT Sloan, 1-year options like Kellogg/Cornell/Notre Dame/IE Business School, or EMBA options (though I don't think you have quite enough experience yet for those programs, usually 7-10 years is needed there).
Your question about career goals is a good one, and one that I'll turn back to you -- what are you passionate about doing? What kind of impact do you want to have? While switching careers is certainly possible, there still needs to be some connection to what you've done in the past, so my general advice is to opt for something like Operations, or perhaps Operational Consulting. I think switching to Finance would be tough. Keep in mind too that if you opt for a 1-year program, then it's typically even harder to completely switch careers (no internship).
Good luck, and keep us posted if we can help with anything else!