I've always had a passion for Mathematics and have always wanted to work in Market Research and Data Science. I want to get into a Business Analytics or a Statistics course in one of the top universities in the word. I am planning to apply to the following:

1) MIT Sloan (MBAn)
2) Harvard (MStat)
3) Stanford (MStat)
4) HEC Paris (Data Science)
5) ESSEC Paris ( BAnalytics)
6) Imperial College London
7) Oxford ( MStat)

In both my undergrad and MBA I was almost always on the top of the class in advanced calculus, statistics, economics and computer science courses even though IIMs are known for their academic rigor. I am one of the 120 students graduating from the IPM business program of the prestigious Indian Institute of Management,( IIM Indore ) this year.
[ Acceptance Rate: < 0.5% ]

In my third year of undergrad, I decided to start traveling around the world to learn about new cultures and also since in the third year we were not offered any advanced math courses, I lost interest and got low grades in courses like Psychology, Sociology, Humanities, etc which gave me an average or slightly above average GPA. I wanted to know if my profile will be competitive enough.

This is my profile.

Age:23
Languages: English, French (B1 ), Tamil, Hindi
Class X: 98.4%
Class XII: 94.8%

Undergrad: 69.8% ( Top 5% in all advanced stats, math and CS courses, avg in others)
( IIM Indore [ BA Business ] Equivalent to BS in Eco, Stats, Math, CS or Humanities - very rigorous curriculum)

Exchange Semester ( 6 months): Paris, France - 14.7/20

MBA: 65% ( IIM Indore: Top 1% in all stats and analytics courses, avg in others)

GRE: Quant: 166/170
Verbal: 155/170
AWA: 5.0

Academic and Research Projects:
About 20 projects with almost 10 in statistics.

Positions of Responsibility:
Held 4 Positions of Management throughout my undergrad and post grad.

International Volunteering:
2 months as a social researcher in Macedonia.

Recommendations:
Recommendations from my Statistics professor and from my employer.

Work Experience:
2 months as a management intern in Rolls Royce India. Contributed significantly to their Business strategy.
6 months as a Junior Market Research Manager in a Singapore based MNC.

ECAs: Bodybuilding (National, 2016), Soccer ( High school captain for 4 years, I play in the university team), Track ( District champion 2016)

I think you will probably want more - and more substantial work experience if you're aiming for the Sloan MBA in Analytics.

The average work experience for students on the program is 15 months, and with poor undergraduate performance they'll be looking closely at this and other elements of your profile.

Internship experience would typically not be counted in work experience, by the way.