Hello there,

by comparing the previous year's cut off to get a seat in NITs in bihar i.e. NIT Patna by EWS category, you must have a rank range of 1k to 7k ( varies branch by branch). So it seems NIT patna isn't in your luck although you have a great percentile and rank in jee mains so you can check out other NITs ( however, you seem to not have chances in top NITs) You can also use the state quota for admissions in your state.
And you are definitely open to top private colleges like
VIT, vellore, Manipal, SRM, etc.

you may check the NIT Patna previous years cut off here
https://engineering.careers360.com/articles/jee-main-cutoff-for-nit-patna

as well as i highly recommend you to participate in college counselling (link provided) to get a list of top colleges available to you best suitably:
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

hope it helps!
ALL THE BEST!

Hello,

With this rank, as per last years cutoff i cannot see chances of getting NITs, IIITs. You can refer the links, though cutoff changes every year, but there is big difference between last years closing ranks and your rank.

https://engineering.careers360.com/articles/jee-main-cutoff-for-top-iiits

https://engineering.careers360.com/articles/jee-main-cutoff-for-top-nits

I will suggest you to use college predictor tool to know all possible predictions, which will be helpful for JoSAA and other state counselings.

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