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Hye,
Honestly your chances of getting into a government engineering college are kind of bleak. You may try the north east national institues kf technology or maybe even the iiits but only with your obc rank, and then too, you might be waitlisted. If you have given any other state exam, try that.
You can use the link below to accurately predict.
https://engineering.careers360.com/jee-main-college-predictor
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