BBA

No its not true u can opt for courses like
1. c.a
2. c.s
3. banking
4. hotel management 5. llb
6. cma
it has equal chances as b.com graduate has so. don't worry .

if u want to do mba then my suggestion will be to u to do b.ba from a good college and prepare for these competitive exam side by side but if want to move in field like banking ,c.a.,or any other finance field then i prefer u to do b.com .

following institution have tie ups wid foreign institution.
https://www.shiksha.com/bba/articles/integrated-mba-programmes-in-india-blogId-15044

I recommended you to go for BBA and then MBA from some premier buisness schools.go for the one that along with good standards of education provides an platform to boost up your skills.The place where you can make your soft-skills stronger and can be a good leader.here are following such institutes,where you may get admission:
1.IIM
2.BIMTECH
3.Lovely Professional University
i have heard that Lovely Professional University venture in their students an unmatched entrepreneurial skills that makes them an efficient manager .This university even encourage the start-ups which can lead you to a successful career.

B.com is great option

MBA is a bit better.

No, But if you have some knowledge of states and maths it will helpful in securing good marks in numerical subjects.
hope it will helpful for you

I am pursuing MBA in sibm, Pune. I have no knowledge of bba courses taught in symbiosis university. Symbiosis affiliated institute conducting bba courses is different from SIBM, Pune

If you didn't want to work anymore then go for a regular basis.