Dear aspirant,
In order to predict your chances in government colleges on the basis of UPSEE rank I would need other information too like your caste group and domicile state, etc. Since, I don't have these I am providing you the link to our college predictor tool. There you can check your chances in various colleges according to your rank.
https://www.careers360.com/upsee-college-predictor
Or, you can also get an idea by looking at the previous years cutoff which you will get on the following link:
https://engineering.careers360.com/articles/upsee-cutoff
Also, below is the link where you'll find a list of all the government colleges accepting UPSEE rank. There you can sort different colleges on basis of fees, location, etc. You can also get further details of any college by clicking on their name.
https://engineering.careers360.com/colleges/list-of-engineering-colleges-in-india?ownership=Public/Government°ree=B.E%20/B.Tech&exam=UPSEE
I hope it helps.
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