Hello aspirant, for getting a good government college you need to get through cut off. The cut off according to 2019 gmc bettiah, bihar was 577 for ur category that is rank approx of 13985.Well you belong to mbc category which falls under 3.5% population. The cut off for your category was 477 marks and above. The cut off changes every year so make sure the rank and the cut off on this links below.

https://medicine.careers360.com/articles/neet-cut-off

And predict your college on this link below

https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer

Thank you. Hope this helped. All the best