B.Sc

For taking admission for Bachelor' courses in Presidency College, you must pass the entrance exam. Here are the details:
Candidates meet PUBDET 2018 eligibility criteria, if they fulfill the below mentioned requirements:
Should be citizens of India.
Have cleared their Higher Secondary Examination (10+2) system such that it is conducted by Council of Higher Secondary Education, West Bengal, or an equivalent exam not before 2017.
Have cleared Higher Secondary Examination conducted by Council of Higher Secondary Education, West Bengal, or an equivalent exam with at least five recognized subjects (full marks not less than 100), including English language.
Candidates with International A level or International Baccalaureate qualifications should have studied at least three subjects at the IGCSE level and three subjects at the A level are required, with English in either of the two levels.

Hi
Yes, you can pursue career in law after B.Sc. The general requirement for pursuing LLB is that you have to first get 50% marks in graduation degree and you might have to clear some entrance test with it. After the liberalization of India's economy there is a huge demand for highly skilled lawyers who are adept in the areas of mergers and acquisitions, banking and finance, infrastructure contracts, debt restructuring, FEMA regulations, IPRs, corporate governance, private equity deals, WTO law etc. Law firms, both international as well as domestic, regularly recruit such lawyers in large numbers. Same is the case with big companies like TATA, Reliance, Infosys, Wipro, TCS, ICICI Bank, etc. It will be advisable if you do your degree from a well-known university and that provides prime placement opportunity, outstanding exposure and professional enhancement training. I can enlist some university for your help-
Lovely Professional University
Navrachna University-Baroda
School of Law, Gujarat University-Ahmedabad
South Calcutta Law College - Kolkata
Christ University etc.