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Hello,
If we look at the last year's cut off marks for OBC category in Bihar State Quota counselling then you have less chances of admission.
The cut off for Bihar state quota in OBC category was 450 and above marks. The cut off marks change every day and can increase or decrease depending on the tie breaking criteria, percentile score, etc. You can apply for the counseling and admission procedure but the chances of admission with 408 marks are slightly less.
Click on the following link for more information about the last year's cut off marks in Bihar.
https://medicine.careers360.com/articles/neet-cutoff-bihar
Good Luck.
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