Hey.

Here is a list of all government medical colleges in Bihar and their respective cut offs in 2017 for the general category under the state quota. Considering this and your rank you don't seem to have much chance for admission in a government college.

Jawaharlal Nehru Medical College, Bhagalpur - 10,846, 551

Nalanda Medical College, Patna- 8939, 560

Government Medica l College, Bettiah 11831, 546

Vardhman Institute of Medical Sciences, Pawapuri, Nalanda -11,945, 546

Indira Gandhi Institute of Medical Sciences, Sheikhpura, Patna - 8328, 563

Anugrah Narayan Magadh Medical College, Gaya -11506, 548

Sri Krishna Medical College, Muzaffarpur- 11409, 548

Patna Medical College, Patna 4981, 582

Darbhanga Medical College, Lehriasarai 9631, 556