Hey Abhishek,

Hope you are doing well!

Yes dear,with a score of 536 you do have a chance of getting government college but the state quota is available only if you belong to that state else,you fall under 15% other state quota.Also,there is reservation in that 15% also,so getting a seat can be a bit difficult.But,you have a chance.

Also,you may go on the link of the college predictor that will help you in finding all the possible colleges under your score:

https://engineering.careers360.com/jee-main-college-predictor

Hope this was helpful!

All The Best!

Keep Smiling :)