Hey.

Here are a few top  government colleges for pursuing the course of Mtech in Bangalore.

Indian Institute of Science - Bangalore

University Visvesvaraya College of Engineering, Bangalore

Dr Ambedkar Institute of Technology, Bangalore 

You can use the link below for any other details.

https://engineering.careers360.com/colleges/list-of-me-mtech-colleges-in-karnataka

Best of luck