Hello,
If I consider the previous year data .Then you do have chances of getting admission in some of the government medical colleges in bihar through state quota .If i talk about the previous year data then minimum marks admitted for an sc candidate was 370 for Government Medical College, Bettiah. So you do hold a chance. But do remember that The cutoff changes almost every year,so not much can be predicted .cutoff depends on the difficulty level of the paper and the number of students who appeared for the entrance exam.
Just hope for the best
Browse the link given below for detailed information about more such colleges .http://www.google.com/amp/s/medicine.careers360.com/articles/neet-cutoff-bihar/amp
Good luck

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