Bangalore

1.R.V.College Of Engineering
2.PES Institute Of Technology
3.BMS College Of Engineering
4.M.S.Ramaiah Institute Of Technology
5.Siddaganga Institute Of Technology, Tumkur
6.Bangalore Institute Of Technology
7.Dayananda Sagar College Of Engineering
8.Sir M Visvesvaraya Institute Of Technology
9. BMS Institut

Yes definitely you will get a seat in Amrita if and only if you belong to home state.

Hi,
Please follow the link mentioned below:
https://www.shiksha.com/college/international-school-of-management-excellence-isme-bangalore-sarjapur-road-280/reviews

If you can manage both of them, you can go.
All the best.

Dear Robin,
Following colleges in south India are the best:
Indian Institute of Materials Management
Institute of Logistics and Aviation Management
Symbiosis Centre for Distance Learning
XLRI Jamshedpur Satellite Programme
The School of Business Logistics
Amity School of Distance Learning
Asian School of B

Hello Pragik,
Here are a few colleges of Bangalore:
1.Presidency College
2.AIMS Institutes
3.Christ University
4.MS Ramaiah College of Arts Science & Commerce
5.The Oxford College of Science
6.CMR University
for more college follows the link
https://www.shiksha.com/it-software/colleges/bca-colleges-bangalore

IIT, Bangalore will give you even more exposure but in level of studies of IIIT, Allahabad is better.