Colleges in Tamil Nadu

One of the reputed colleges in Tamil Nadu conducting MBA in Healthcare Management is Apollo Institution which run under Apollo Hospital. They are conducting MBA in Healthcare Management in collaboration with Alagappa University, Tamil Nadu. The same program is there under Distance Education Departme

VIT University, Vellore campus is really better than Chennai campus. The hostels are good and the food also, as they are very essential. It offers better education and placements with high salary packages.

SRM University-Chennai, KTR Campus is better than Sikkim Manipal University. So, you can go for SRM University. It has better placements and offers better education also. You can go for Sikkim Manipal University, if you don't get SRM University.

SRM University, Chennai, KTR campus is better than MIT, Pune for engineering and the other degrees. SRM university offers better education and the placements at SRM university are really good. So, you can go for SRM university main campus alone.

VIT Vellore campus is only better for computer science and engineering and also for all other courses than VIT Chennai.
So, if you don't get the Vellore Campus, then prefer the Chennai campus of VIT university.

Surely you can get. The rank list is released by TNAU. check it and you will be called for counseling.

I don't think many universities offer the biomedical science courses in Tamil Nadu. As per my knowledge, only two colleges offer this course. They are:
1) Bharath University, Selaiyur, Chennai
2) Sri Ramachandra University, Porur, Chennai

The placements depend on you, your caliber and potential. Firms would recruit you notwithstanding the place where you have studied, if your work ethics is fine enough. Moreover, SRM is an emerging university.