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Best universities or colleges in South India for an M.Sc in biotechnology are mentioned below:
Jain University - (Private and Deemed University)
Kristu jayanthi - (private college)
Manipal University - ( Private University)
Indian Institute of Technology Roorkee - (Government)
Centre for Cellular and Molecular Biology (CCMB)
Central Drug Research Institute (CDRI)
Department of Biotechnology, Barkatullah University
Department of Microbiology and Biotechnology Centre, Maharaja Sayajirao University of Baroda (MSUB) Department of Biotechnology, Sindhu Mahavidyalaya
Government College of Science, Raipur
Indian Institute of Chemical Biology (IICB)
Institute of Genomics and Integrative Biology (IGIB)
Institute of Microbial Technology (IMTECH)
National Institute of Immunology (NII) National Chemical Laboratory (NCL)
National Institute of Pharmaceutical Education and Research (NIPER)
Regards.

For B.Sc in economics, you only need 50% in your 10+2. Here is a more information.
Bachelor of Science in Economics or B.Sc Economics is an undergraduate program of 3 years which can be done after completion of 10+2 or equivalent examination. The average annual fee for B.Sc Economics ranges between INR 50,000 to 1 lakh depending on the college.
The program is spread over 6 semesters at an interval of every six months. B.Sc Economics syllabus imparts candidates relevant knowledge about economic analysis, economic fundamentals and principles. After the completion of the course, candidates are equipped with the knowledge of how economic principles are applied in the society, family, government and private sector, business and science.
They can easily avail job opportunities in banking and finance sector along with other career options as well with the average salary package ranging from INR 1.5 LPA to 5 LPA. In this course, candidates are provided with an understanding as how to do analysis in social and political sector by applying economics principles. And, they will understand the production process, distribution techniques and how the consumption of goods and services should be done at different stages.
Best wishes.

Yes, you are eligible. There, science field is not a barrier for you. Bachelor of Business Administration or BBA is a 3-year professional undergraduate course in Business Management, the minimum eligibility for which is class 12th from a recognized educational board with a minimum score of 50%. The course is divided into six semesters and comprises variants like BMS, BBM and BBS. It can also be done through Correspondence/ Distance mode and admission to the same is based on entrance tests carried out by different colleges and universities.
Some such entrance tests conducted by respective universities for admission into BBA course are:
IPU-CET
SET
AIMA UGAT
BBA course equips you with the right knowledge and skills in business and management and imparts knowledge of the principles which are perfect for a career in the corporate world. A degree in Business Administration solidifies your base for your future business and management career goals. Successful graduates of this course can opt for a range of jobs from sectors like finance, marketing, sales, management, government and education.
The average tuition fee charged for the course in India ranges between INR 1 lakhs to 2.5 lakhs. Some of the top institutes which provide admission to candidates into the 3-year program are as follows:
Indian Institute of Management (IIM), Indore
Christ University, Bangalore
University of Delhi
NMIMS University, Mumbai
Symbiosis International University
Guru Gobind Singh Indraprastha University, Delhi
Sikkim Manipal University