Hello Aditya,
In order to predict your probable rank I need your 12th standard percentile. Without it I can't predict your rank.
So, due to lack of relevant information I cannot predict your rank but you definitely can. Just follow this steps:-
(1) https://engineering.careers360.com/upsee-rank-predictor open this link and input the relevant information . From this you will get to know your probable rank.
(2) Open this link https://engineering.careers360.com/articles/upsee-cutoff and you can easily get indepth analysis about the prospects of UPSEE exam. In order to know whether you can get any government colleges or not you have to look upon previous trends of various colleges and from this link you will definitely get all the relevant information.
Hope your query is resolved. I wish you best of luck in your future endeavor.
Candidates can check B.Tech Cut off for Top IITs & NITs here.
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