Hii aspirant
Hope you are doing well amid covid-19 pandemic
With 82 percentile your rank would be around
145000- 165000 Which is a very low rank in JEE mains
For this rank you will not get (home state quota) into NIT Patna or in case any government college
Still you have chance to get a college in Bihar itself
So in order to predict your college you can check the following tool.
Definitely give it a try

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
Hope it helps

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