Hello,
You have scored really good marks.
Your all India rank and category rank are pretty good to bag a government seat in any of the  good and high rating government college.
Your Bihar domicile will help you to get a good government college in Bihar, but i think you should go for ALL INDIA COUNCELLING, as you can fetch a MBBS seat in any of the best government college with OBC CERTIFICATE.

All the best for Councelling rounds.

Hello,
As you know admission to government medical colleges is based on NEET marks is done under two categories-All India quota(15%) and state quota(85%).
With OBC category and 559 marks, you have high chances of getting a decent government medical college for MBBS/BDS program in your state tgrough state quota. Some of the colleges you might get-

• Anugrah Narayan Magadh Medical College and Hospital, Gaya
• Darbhanga Medical College, Laheriasarai
• Government Medical College, Bettiah
• Indira Gandhi Institute of Medical Sciences, Sheikhpura, Patna

Follow this link to better predict your college-
https://medicine.careers360.com/articles/neet-cutoff-bihar/amp

Good luck

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