IGNOU - Indira Gandhi National Open University

Distance MBA also gives you a certificate after which you could go for PhD program.

For UG: Candidates must have passed 10+2 with minimum qualifying marks in aggregate with Physics, Chemistry, and Mathematics as core subjects. Independent entrance tests for this programme are also held by the various state, central, and private universities which mostly require 50% marks as the prerequisite to appear for the test.

https://www.shiksha.com/university/indira-gandhi-national-open-university-Delhi-3030
Please go to the link I am sharing here to know about the course.

Yes, you can do BA. You are eligible for that. I am sharing a link here in which you will get all information regarding admission in Indira Gandhi Open University.
https://www.shiksha.com/university/amp/indira-gandhi-national-open-university-delhi-3030#amp_tf=From %1$s

Hi Deelak,
The minimum duration to pursue MBA in Banking Finance at IGNOU is 2.5 years.
All the best.

Yes, you could do MA with stats from IGNOU.

You can take only one course at one time in your admission process. So go for suitable course from IGNOU and another course from distance if you can cope up 2 studies at a time.

IGNOU is a distance college. Classes are held only on Sundays and Saturdays.