AIIMS will conduct its admission through All India Counselling and so 408 might be tad less. And in 2019, under State Quota, 414 marks secured a seat in GMC, Bettiah under SC Category. So going by this a seat in a Government Medical College might be tough. You might get a seat in  Government Quota of Private Medical College. Having said that, this is based on 2019 data and cut offs change every year. Cut offs change every year depending on various factors such as no.of Candidates appearing for the exam, no.of Candidates qualified, top NEET score and difficulty of the exam. For a complete list of colleges that you may have a shot at, please use our College predictor: https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer