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Hey Raj,
If You have Got 67 Rank in SC Category then yes you have good amount of chance that you can get into good government medical college in Bihar as well as if you appear for All India Counselling you might end up getting a good college as well. But I'll recommend go for Your Domicile State as 85% state quota will be helpful. Here is a link to get an idea for you college
https://medicine.careers360.com/neet-ug-college-predictor?ici=search_trending
Best of luck
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