Dear Niket 

yes you can get government colleges because many government colleges gives admission to students based on their performance in 12th board examination and JEE MAINS rank . Like in Rajasthan students get colleges through REAP . you can go through this link

http://www.rtu.ac.in/RTU/reap

similarly you can apply for other government colleges in your homestate

Hop this will help you if not you can comment below 

Thank You!!