Hi

Thanks for your question,

You can use the WBJEE college predictor to know your chances in government or private college as per your rank.Below i am sending you the link do go and visit:-

Https://engineering.careers360.com/wbjee-college-predictor

Coming to your question yes you can get government college.It's little bit difficult but do give a try.

Hope this was helpful.

Good-Luck!!!!