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Hello Aman,
Sorry it is not possible to get a government college on the basis of your rank. The cutoffs of very very high I am sharing cutoff of some government colleges to give you idea:
1. Harcourt Butler Technological Institute, Kanpur
2.Institute of Engineering and Technology, Lucknow
3. Bundelkhand Institute of engineering and tecnology
I hope you get the idea that for government colleges you need a very good rank.
So I would suggest you should go for a good private institute and if you are not interested in private institute and dead set on doing engineering then you should drop a year and prepare for the entrance examinations.I am also sharing you the link of cutoff of all the upsee colleges:
https://engineering.careers360.com/articles/upsee-cutoff
Hope this helps!!
Best of luck!!
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