Hello aspirant,
Some colleges require eligibility criteria as B.Sc / B.A in psychology for pursuing M.Sc in psychology. However it is not impossible to pursue the course after B.Sc in Biotechnology. You can explore M.Sc in psychology and continue it as your career. You may face some difficulties in the fundamental part of the course. Keep a note of the eligibility criteria of different colleges and take step accordingly . Have a look at the link:
https://www.careers360.com/courses/msc-in-psychology
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