Hello Aspirant,

According to the category rank you have mentioned in the question you have no chances of getting in to NIT Patna as per previous year's cut-off. As cut-offs for this year is not declared yet so we can guide you on the basis of previous year's cut-offs.

For complete details about previous year's cut-offs refer the link given below :-

https://engineering.careers360.com/articles/jee-main-cutoff-for-nit-patna

Note that the cut-offs are bound to change every year depending upon various factors, so to get an idea we can use last year's cut-offs.

However I would recommend you to use JEE-Main College Predictor to predict the chances of your admission in different colleges  based upon your percentile and category :-

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

I hope this information helps you.

Good Luck!!