For hospital administration you can persue Masters in Hospital Administration which as usual a two year program with 4 semesters. There are soo many institutes and colleges in India which provide this course. 

The eligibility for this course is Bachelor's Degree in Arts/ Science/ Commerce/ Engineering/ Technology/ Medical/ Dental/ Pharmacy/ or any other professional courses from recognised Indian Universitites. 

There is an entrance test (MCQ type - of one hour duration) followed by a group discussion and interview. 

 Reputed Institutions offering courses in Hospital Management for Non-Medical Students are:

• TISS
• Apollo Institute of Hospital Administration, Hyderabad
• Indian Institute of Health Management Research (IIHMR), Jaipur
• Sri Ramachandra Medical College & Research Institute(Deemed University), Chennai

Hope this helps !