Hi peeyusha,
For your GMAT, if you believe you can improve your score by 30+ points, I recommend you take the test again. Remember that your highest score is self-reported on your application, so admissions teams will focus on your best score. I mention this because you are looking at the most competitive MBA programs in the world.
Regarding your candidacy, your numbers indicate that you have the intellect and focus to thrive in a top tier MBA program. Nothing about your story makes me think there is any reason why you cannot be admitted, but nothing stands out telling me why you should be admitted. All of the reasons why a top program would admit you are in the details of your work experience, personal experiences, personality, values and overall story.
Here is some school specific advice for the programs you are considering:
HBS:
https://www.stacyblackman.com/business-s ... ss-school/INSEAD:
https://www.stacyblackman.com/business-s ... ub/insead/Cheers,
Conrad and the
Stacy Blackman Team
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