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Yes, you have decent scores in IELTS which are more than enough to get admission in these institutions but your academic scores will also matter.

You have several choices such as a Bachelors degree in physics, chemistry or biology. Also, explore your interest and check if you would be interested to do a Bachelors degree in any of the following:
Psychology
Biodiversity
Biochemistry
Molecular Biology
Bachelors of Health Sciences
Bachelors of Nursing
B.Pharma
B.Sc in Agriculture and so on.

Diploma in life sciences is not offered by any college. For higher studies, you need to go for M.Sc.

ITM is a better brand, overall placements are similar in both the above mentioned colleges. You can try for BIMM or Flame B-School for better job opportunities.

Yes why not, you should then opt for MBA in finance only so that your combination becomes highly demanded by all legal and corporate departments of organizations.

The average package is Rs 5.03 lacs.
Thank You.

Hi,
Take a look at the following link and select public/state universities that offer courses in English. While 72% is a decent score, you will need LORs, CV and TOEFL/IELTS for applying.

They offer regular MBA. You are an all round topper with 85 to 90 percent right from school. DE Shaw and McKinsey and company were offering a package of 8 to 10 LPA. However only a small fraction of students could sit for this placement. You are an average student with some interest in finance. Axis bank and HDFC had come for placements. Package was around 3 to 4 LPA.

Hi,
Most of the reputed universities look for BA/B.Sc economics as a pre-requisite but maths (Hons.) students or graduates with maths as a subject are also eligible. The best ones are:
1. Delhi University
2. JNU
3. Loyola Chennai
4. Mumbai University
5. Bangalore University
IGNOU offers MA in economics with graduation in any subject.

Placements are simply best in India with number one Institution for MBA and offers 100% Placements with Rs 18 lakhs per annum and average salary and total Rs 21 lakhs fees all inclusive for two years.
https://www.shiksha.com/mba/course/post-graduate-program-management-indian-institute-management-iim-a/1653

University change or college change after first year is completely dependent on university and college norms. Some university allow it and some won't. You need to have good scores in first year to apply for the same. For further details contact the university authorities.

The fee for the course differs from institute to institute. It would be great if you check with the institute you wish to get into.

I would suggest you not to go for dual/general MBA as government PSUs and many private companies do not consider it.
According to me, you should choose finance. It will lead you to a career in accounting will let you compete with the CAs. Other than that, it requires more efforts than marketing.

Hi,
Refer the following link:
https://www.shiksha.com/mba/articles/top-10-mba-specializations-blogId-5284