I have a gate score of 361 and I belong to SC category and EC branch. What are the possible options for me

As you have score good marks you may go to opt PSUs or doing M.tech/Ph.D from good college

As per your score and previous year cutoff, the colleges you get in first round are:-

IIT ISM Dhanbad Electronics Engineering VLSI Design

IIT Kanpur Material Science and Engineering Material Science

IIT Indore Metallurgy Engineering and Meterial Science Metallurgy Engineering

IIT Kanpur Electrical Engineering Electrical Engineering

IIT ISM Dhanbad Electronics Engineering Communication and Signal Processing

IIT Bombay Bioscience and Bioengineering Biomedical Engineering

IIT Madras Physics Functional Materials and Nanotechnology

IIT ISM Dhanbad Electronics Engineering Optoelectronics and Optical Communication Engineering

IIT Patna Electrical Engineering Communication System Engineering

IIT BHU School of Biomedical Engineering Biomedical Engineering

You can also use careers360 college predictor to know more about colleges you get as per your score.

https://engineering.careers360.com/gate-college-predictor