Karnataka

Yes,
Sikkim Manipal offers full-time BBA course.
https://www.shiksha.com/bba/course/bachelor-of-business-administration-sikkim-manipal-institute-of-technology-sikkim-manipal-university-gangtok-249781

Hi,
You can refer the below link for colleges in Bangalore and Hyderabad to pursue BBA:
https://www.shiksha.com/bba/colleges/bba-colleges-india?uaf[]=location&ts=21711152&rf=filters&ct[]=278&ct[]=702

MBA forms are already out and Christ accept both MAT and CAT scores in some MBA programs work experience is required in some XAT is also accepted. I suggest you chose your course and then ask I may help better in that way. :)

Hello Sarthak,
There are plenty of colleges offering aeronautical engineering branch across India. But you can take admission only in either Maharashtra or CFTI's or perhaps prrivate colleges in Karnataka. You will have to appear for JEE Mains, JEE Advanced, MHTCET or COMEDK.

NMIMS-Mumbai is a Tier-1 college. So, in terms of placements, their statistics are better than NMIMS-Bangalore.

Hi Shivaraj,
If you option for a particular college's entrance exam then you may or may not have to write Agricultural Practical Exam depending on the institute type. But it is compulsory to write Agricultural Practical Exam if you option and qualify for Karnataka Common Entrance Exam (KCET).

As far as I am aware, there is no 5-year integrated M.Sc course.