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To be eligible for BITM, you need to study mathematics in your +2 in order to get admission into BCA. But there are various other colleges from which you can pursue your BCA. As you have studied Computer in your +2, then you can get admission into almost every other college very easily. If you want to learn programming languages which you will be studying in your BCA course then you can check out this app which is specially designed and developed for BCA students. It has programs and assignments of languages like C, C+ and Java with their outputs. You'll be studying these languages in your 3 years of BCA.
https://play.google.com/store/apps/details?id=technark.bca_courprogramming

Through CAT you can do better than the best. The following colleges offer MHA course:
Birla Institute of Science and Technology (BITS), PilaniAll India Institute of Medical Sciences (AIIMS), DelhiTata Institute of Social Sciences (TISS), MumbaiHinduja Institute of Healthcare Management, HyderabadIndian Institute of Health Management Research (IIHMR), JaipurApollo Institute of Hospital Administration, Jubilee hill, HyderabadSchool of Medical Education (some), KeralaManipal Academy of Higher Education, Manipal University, KarnatakaDevi Ahilya Institute of Hospital Administration, IndoreChristian Medical College, VelloreNational Institute of Health and Family Welfare, DelhiDepartment of Management Studies, Madurai Kamaraj University, Madurai
Each university conducts their own entrance tests, visit their websites. But I would prefer you to go for CAT exam. All the best.