MPH

You need to apply online. Once the form has been downloaded, you need to pay the fee online using Credit Card/Debit Card/Net Banking or by cash through Challan at any ICICI Bank Branch.
You need to have secured a minimum of 45% at the graduate level are eligible for admission to PG courses offered by the university.

Central universities prescribe elaborated CUCET syllabus each year. Candidates are recommended to go through CUCET syllabus for their particular course thoroughly in order to prepare well for the entrance exam.
CUCET 2018 syllabus for Integrated M.Tech, B.Tech, Integrated B.Sc. B.Ed Integrated B.Sc. B.Ed (Mathematics), Integrated Science B.Sc. M.Sc. Integrated M.Sc. And B.Sc. Programmes is mentioned at the link provided below:
https://www.shiksha.com/science/exams/cucet/syllabus.

It depends what you want, a good brand or good government college. Institute and placements should not be your first priority, goal ahead with IIT. IIT has a good brand value and it is sure fruitful. If not today, it will definitely help you once you are done with the course.

Panjab University,
Chandigarh Madurai Kama Raj University,
Madurai Devi Aliyah Vishwavidyalaya,
Indore Tata Institute of Social Services, Mumbai Apollo Institute of Hospital Administration, Hyderabad
Indian Institute of Health Management Research, Jaipur
Manipal Academy of Higher Education,
Manipal Symbiosis Centre of Health Care, Pune International Institute of Health Management Research, New Delhi