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Hello dear
With this common Rank ; there may be chances to get seat in nit patna with home state quota.
And from your ews category rank; you have a fair chance to get seat in nit patna ; but don't depend only on this because it will depend upon other students choices and preferences because this category is introduced first time .
So take another option along with this and be safe .
You can see last year scut offs and have thought about it .:
https://engineering.careers360.com/articles/jee-main-cutoff-for-nit-patna/amp
Good luck
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