hello manas!!
with 82 percentile in jee mains i am sorry to inform you that you wont be getting BIT PATNA.Howeverr this is not final as the cutoffs are for previous years.lets hope the best happens to us.however with your percentile you would be getting :

Xavier Institute Of Engineering C/O Xavier Technical Institute,Mahim,Mumbai

Telecommunication Engineering

Dr. D. Y. Patil Pratishthan's D.Y.Patil College of Engineering Akurdi, Pune

Computer Science Engineering.

K J Somaiya Institute of Engineering and Information Technology, Sion, Mumbai

Electronics & Communication Engineering

and many more..

I m providing you a link for  knowing colleges in which you can get a seat for your rank  in JEE MAINS  and category,please see the following link :

https://engineering.careers360.com/jee-main-college-predictor

Https://engineering.careers360.com/jee-main-college-predictor?utm_source=C360&utm_medium=qna&utm_campaign=jee-main-college-predictor

All the best

Thank you