BCA

The eligibility criteria of BCA of Amity University Mumbai is given below.
Eligibility : 10+2 with Maths / Computer Sc. / Information Practice / Computer Applications / Multimedia & Web Technology / Data Management Application / Web Application
So from above Maths is not necessary in 12th for doing B

You can get admission in MBA. You are ranking is okay. It also depend on graduations marks and other things. Fee rembursmnet depend on university/ college norms. It vary from college to college. Suitable MBA specializations with your educational background could be Marketing, IT, operation, logistic

I think that LPU will be a good choice for the same.

Choosing a University is a big decision, as our career fully depends upon that. There are some key parameters that we should keep in mind before choosing any University, like, faculty, placements, international exposure, curriculum, alumni of that university. Being a alumni of Lovely Professional Un