Hello Aspirant,
Congratulations on getting such an excellent marks.
You should use the following link of NEET RANK PREDICTOR which will oredict your state as well as All India rank too:
NEET Rank Predictor - know your expected neet 2021 rank by using the c ...
Via this link it will be easy to determine your rank.
Yes, you might be able to get an MBBS seat in a government college of Bihar. Last year the candidate with marks 577 and rank 13985 got admitted to Government Medical College in Bettiah.
Please visit the following link which will provide you the detailed analysis of past years cut offs :https://www.google.com/amp/s/medicine.careers360.com/articles/neet-cutoff-bihar/amp
You can also predict your college via the college predictor link:https://medicine.careers360.com/neet-college-predictor?icn=c360-medical-neet-college-predictor&ici=clevertap-sticky-facet-wap
HOPE THIS HELPS YOU
ALL THE BEST
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