Hello Aspirant,

It seems that you are asking for JEE-Main rank if not then please mention the correct one. According to the category rank you have mentioned in the question you have very low chances for any of the good government colleges as per previous year's cut-offs but yes I would suggest you to sit for some state counselling because in some of the state government colleges you can get admission on such ranks.

Note that the cut-offs are bound to change every year depending upon various factors.

So you can use JEE-Main College Predictor to predict your chances of admission in different engineering colleges of India :-

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

I hope this information helps you.

Good Luck!!