Karnataka

Follow the link mentioned below:
https://www.shiksha.com/b-tech/ranking/top-engineering-colleges-in-karnataka/44-2-106-0-0

Hello Nailesh! MS Ramiah isn't a great option for pursuing MBA as it doesn't feature even under the top 50 B-schools across India. It's better to avoid it and look for other much more reputed B-schools.

https://www.google.co.in/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/it-software/colleges/bca-colleges-kolkata&ved=0ahUKEwiDvqys_urVAhVDsI8KHT-rBrwQFghdMAE&usg=AFQjCNFDnFFFH4v9UZAb9TZMTYh0-6v6wQ
The above colleges are best according to the rankings, please check and select the best college.

Hello Deepam,
Christ university-Bangalore conducts their own exam for BBA course. So, I think you can check further details about college regarding admission in official website of college, but it is one of the best university for BBA.
All the best.

Hello Alexander,
You may refer the link below for the list of government M.Tech colleges in Karnataka :
https://www.shiksha.com/engineering/colleges/m-tech-colleges-karnataka?rf=filters&ts=15321927&st[]=106&bc[]=86&co[]=Public&uaf[]=base_course&uaf[]=location

Yes, you are eligible to get admission for PG in IIM-Trichy or Bangalore after completing your graduation through the exam of CAT.