Science

Yes, science stream student can study hospital management. It is good that you are concerned about your career choice right after 10+2. This is the best time to select your career option as Hospital Management. You can go for a Bachelor's degree in Hospital Administration (BHA). The cut-off admission marks for this section is 50% in 10+2 in most colleges in India. The top colleges, like ASCI, Hinduja Institute of Healthcare Management, Apollo Institute of Hospital Administration conduct their entrance exams and have their respective criteria for selection.
For more details you can check their websites to stay update with the admission procedures and requisites. There are private colleges too that offer these course and admission is not that difficult in them. You need to have Biology at the 10+2 level to opt for BHA.

B.Sc agriculture is a broad-based course that deals with production of food and horticultural crops, rearing of farm animals, agricultural extension, rural economy and rural development, working with farmers, environmental health, etc. B.Sc agriculture has diverse scope and you can get the jobs with firms of the private or public sectors. With public sector firms, you can get employed as Agricultural Research Scientist (ARS). A few other areas where employment is offered are banks, dairy consultancies, insurance companies and the animal industry. Many areas are available to choose your career:
Agriculture Marketing
Banking and Cooperation
Dairy Technology
Fisheries Science
Food Science and Technology