Kolkata

If you apply as a fresher (for first year), you will be eligible for almost every college in Bangalore, but if you want to apply for direct second year entry (lateral entry) then only few colleges might accept your admission due to state change.

Hi Debajyoti,
The minimum percentage is 60 in your +2 aggregate including PCM & Biology/Biotech.
For more detailed information please do visit the given link and scroll down you will get it.
http://www.sxccal.edu/admissions/SXCAdmission2017/UG2017/EligibilityCriteria.htm
All the best.

Hi,
You can refer the below link for institutes are offering BBA/BBM in Kolkata:
https://www.shiksha.com/bba/colleges/bba-colleges-india?uaf[]=location&ts=21070284&rf=filters&ct[]=130

As per AIMK guidelines 50 percentile is criteria for army category students and 70 percentile for general category students in CAT but students who have scored less applies as well and in most of the cases get selected for further process. People are generally judged on the basis of GD and PI regardless of your percentile.
So I would suggest that you can go for it as the chances are equally high.

Sanhita, don't worry. Many government as well as private universities giving admission for B.Ed without entrance but be sure that you have sufficient percentage to get admission because most of the universities select students on the basis of merit. In Kolkata, some universities give admission without entrance exam. You can try for that.

Follow the link below and filter colleges according to fees:
https://www.shiksha.com/it-software/colleges/bca-colleges-india?uaf[]=location&ts=20780472&rf=filters&ct[]=130&bc[]=33&ed[]=et_20

XIME, Bangalore should be the best of the lot owing to the batch size and good faculty!