Hey Shruti,

With 506 marks in NEET and moreover you belonging to EBC category, you do have a chance get admission in the government medical college in Bihar. You must be aware that cut offs change every year, so it's not possible to predict with surity about any college however, you can get idea by the past trends. You can also use careers360's NEET college predictor, that would help you too. Here's the link :- 

https://medicine.careers360.com/neet-college-predictor