Hello aspirant
Hope you are doing well
It is difficult to predict the cut off marks or ranks but according to previous year trends your expected rank would lie between 573469 - 648619but it may vary every year depending on the following factors
1. Level of question paper
2. Total no of candidates
3. Category of candidate
4. Total no of seats
5. Marks obtained by students
Here is the link for the rank predictor

Govt college cut off marks for obc category are higher than 550 and also you have not mentioned the name of College so it is difficult to answer your questions
But you can check previous year cut off marks from the link below.
https://medicine.careers360.com/articles/neet-cutoff-bihar/amp
Further you can use college predictor tool to know about the college you can get.

Good luck
Hope it helps

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