MBA Eligibility

https://www.shiksha.com/mba/course/master-of-business-administration-hbs-heritage-business-school-east-calcutta-township-kolkata-114566
Check out this link. They haven't specified MAT for admission, but they do accept CAT and JEMAT.

Yes, you can join MBA in hospital administration after your graduation. Eligibility is graduation. You should have passed your graduation with first division.

Yes, distance degree is acceptable for MBA.

Anyone can be eligible for MBA if he/she had done graduation from any stream but it's important to do graduation. Without graduation, it's not possible to do MBA and after the graduation you have to give entrance exams.

If you wants to get into IIMs, then you have to give CAT exam and also need to score good in the exam at least 99 percentile is required for get into IIMS.

YMCA offers Master of Business Administration (MBA), For MBA, candidate must have passed Graduation degree with 50% marks. Selection in MBA is done on the basis of Entrance Exam conducted by the University.

Doon Business School. They have placements in companies like Decathlon.

Hello,
Generally, several MBA colleges give more importance only to graduation scores. Though it's ideally expected one to score at least 50% marks in class 12th.

Hello,
Since you have scored at least 50% marks in your graduation, you are eligible to appear for the CAT and other MBA entrance exams too. Good luck.

Hello,
https://www.shiksha.com/mba/ranking/top-mba-colleges-in-india/2-2-0-0-0
This link contains the details of all the top-ranked MBA colleges in India.