Osmania University College for Women

This generally requires graduation in a relevant discipline and admission process has Counselling after qualification of entrance examination (GATE).
Eligibility for M.Sc. in Nutrition and Dietetics
Candidates aspiring for admission to the course are required to fulfill the following minimum eligibility criteria.
Graduationor another such equivalent course in a relevant discipline, completed from a recognized university.
Graduation needs to have been completed in any of:
Home Science
Nutrition or Dietetics
Food Science
Biology
Microbiology
Clinical Biochemistry
Life Sciences
BNYS (Naturopathy)
BAMS (Ayurveda)
A minimum aggregate score of 50% (45% for SC/ST/OBC candidates) at the level of graduation.
Candidates in their final year of graduation can also apply for the course on provisional basis.

Yes, for admissions in the top college for M.Sc biotechnology, you have to qualify the exam.
Otherwise, you can take admissions in any low ranking private college in your state.
Some top college for M.SC biotech are:-
1. Indian Institute of Technology -Bombay
2. Rajiv Gandhi Center for Biotechnology, Trivandrum
3. School of Life Sciences, University of Hyderabad
4. National Dairy Research Institute, Karnal
5. Institute of Chemical Technology, University of Mumbai
6. Department of Biochemical Engineering & Biotechnology, Indian Institute of Technology
New Delhi
7. University School of Biotechnology, Guru Govind Singh Indraprasths University
New Delhi