Goa

You should apply for Goa Institute of Management. I think the application date is over. Still check their website once. They need CAT, XAT for admission.

6-8 LPA is the medium range, average can be slightly lower.

They have average placements. As per the record, around 65% of students get good placements.

Goa has only 1 architecture college and it is called Goa College of Architecture – Panaji.
You can refer to the list of the institutions approved by Council of Architecture:
https://www.coa.gov.in/index1.php?lang=1&level=0&linkid=25&lid=26
If you are looking at colleges in Bangalore, I would suggest BGS School of Architecture and Planning.

In Goa, there is only one top institute which is Goa Institute of Management. In Karnataka, you can opt for IIMB, TAPMI, Symbiosis Institute of Business Management, XIME, SDM Institute for Management Development - Mysore, AIMS Institutes - Bangalore and Christ University.

It is a good institute with decent placement records.