CBSE 12th

In most of the cases it does not matter. Student from arts, commerce and Science stream are admitted to BBA. Anil Modi School of business come under top 10 BBA colleges in India. NPAT score can be used to get admission in courses like BBA. B.Sc. ( finance), B.Com hon). But in case of NMIMS. Applicant passing in Mathematics or Statistics at 12th or equivalent exam is compulsory for being eligible to BBA/B.Com (Hons), B.Sc. (Finance). Additional you need minimum 60 percent in 12th for BBA and B.Sc. ( finance). But there are college for BBA without Maths
You can explore on IIPM MBA, Symbois BBA. DU BBA. GGIPU BBA. Christ BBA. PUMBA BBA. Mumbai University, Nass Wadia College Pune, LPU, Bharti Vidyapeth Pune, DMS DY Patil, DMS various central ( like BHU) at state universities ( like Solapur University). You can also explore on BBA LL.B. From reputed college. Best wishes.

The market of skill is also about demand and supply. Identifying the best institute is as important as choosing the correct specializations. You could find a branch in which you can excel more due to passion and natural inclination. Engineering branches can be categorized into - (1) branches with broad prospects (2) branches with niche prospects ( 1) branches with broad prospects - civil, mechanical and electronics branches come under this category. These branches are one of the oldest and most popular. Demand in this type of engineering branch is very high and are consider evergreen. Competition is high but job opportunities are also high. Top 5 branches under this category are civil, mechanical, electrical, chemical (2) branches with niche prospect - these are branches which have prospect. Competition in this segment is low but job opportunities are also low. Pay scale is high. Aeronautical engineering, marine engineering, textile engineering. Competition to get into top colleges for this category of stream is also low. The college from where you get your engineering is more significant than branch. If you have done industrial engineering from NITIE Mumbai you would have better career. If you love number than civil and CSE branch could be a better choice. I suggest you to choice top demanding engineering branches like civil, mechanical, CSE etc. Best wishes.

You can write many government competitive exam after 12th. Few of them are -
NDA
- SSC CHSL
- SSC MS
- SSC GD
- Railways Recruitment Board exams ( Various type)
- state government jobs. - various central ministries group C and D ( many times through SSC)
- Indian Army exams ( Navy SSR, Air force group X etc. )
- Central and State security forces exam
- Indian Cost Guard recruitment
Broadly the competitive exam after 12th can be categorized into central and state. Which can further be seen into contaxt of exam conducting authority UPSC SSC Railway. As there are lots of exam, I suggest you to target set of exam which has same pattern. It need 1 to year of continuous preparation to crack these exams. The earlier you plan, more easy it become. Best wishes.