The best option for MSc Biotechnology can be IIT/NIT. To get a chance to pursue in this premiere institute then you have to apply for the IIT JAM entrance examination. On qualifying you can pursue a course which can also avail you some placements at the end as well as a quality education.

If you want to study in kolkata then I will say Jadavpur University will be the best.

TO know more you may consider the PDF below4, in order to know about the course of MSc Biotechnology at JU:

http://www.jaduniv.edu.in/upload_files/scroll_info/1425036435.pdf

Apart from this some of the colleges in Westbengal for MSc Biotechnology:

University College of Science, Technology and Agriculture, Kolkata

Institute of Genetic Engineering, Kolkata

Oriental Institute of Science and Technology, Midnapore

Oriental Institute of Science and Technology, Burdwan

GNIPST Kolkata - Guru Nanak Institute of Pharmaceutical Science and Technology

Swami Vivekananda Institute of Modern Science, Kolkata

JIS Institute of Advanced Studies and Research, Kolkata

I hope my answer helps. All the very best for your future endeavors!