Colleges in Tamil Nadu

Sastra University admits students based on two modes : one is JEE Main + board exam score and the other is with only board exam scores. So it is necessary to have a good JEE score as well as a good board exam score.

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As you have completed your graduation, you can apply for MBA in Health care Management.

You may get a job in ISRO, DRDO, ONGC, BHEL, HEL, etc. Also, doing M.Tech is not a small thing. Also, IIT Madras is also a renowned government institute and a top college in India. So, I will suggest you to pursue M.Tech from IIT-Madras rather than looking for a job.

Your profile seems decent.
For PGDM 2020 Intake, Great Lakes Institute of Management will accept scores of GMAT taken after 1st January 2018, CAT taken in 2018/2019, XAT taken in 2019/2020 or CMAT taken in 2019/2020.

Please note that freshers and candidates with less than 24 months of work experience as on 30th June 2020 are eligible to apply for PGDM 2020.
For PGDM 2020 Intake, Great Lakes Institute of Management will accept scores of GMAT taken after 1st January 2018, CAT taken in 2018/2019, XAT taken in 2019

Applicants are evaluated based on GMAT/CAT/XAT/CMAT scores, past academic performance, essays, work experience (if any) and performance in the personal interview. The selection process builds in a criterion that facilitates evaluating each applicant on Academic Abilities, Standardized Test Scores, R

National Assessment and Accreditation Council (NAAC) - An autonomous body established by the UGC to evaluate quality of higher education institutes in India. It grades an institution from A+ (best rating) to C. Rating D indicates that the institution is not accredited.

Yes, you are eligible for the course. It is a good choice that you have made and now focus on your career choice and take necessary steps to achieve your dreams.