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There are over 15 B.Sc. in Genetics colleges in India. Please refer to the link provided below for a list of colleges which offer a course in genetics in India. Link:
https://www.shiksha.com/science/colleges/b-sc-genetics-colleges-india
In order to pursue a course related to Science field at any of the reputed colleges, you will have to appear for an entrance exam. In this article, we have listed some popular B.Sc. Entrance exams that Science aspirants should consider giving in order to secure admission in a good college. Link:
https://www.shiksha.com/science/articles/top-bsc-msc-entrance-exams-in-india-blogId-13484.

Eligibility Criteria to apply for LL.B. via entrance exam:
The eligibility criteria for LL.B. is that one should have a BA/ B.Sc/ B.Com degree with a minimum of 40% marks in aggregate, so, yes, you are eligible to appear for LL.B. entrance exam. Regards.