Hi harsh
As you have secured 57000 general category rank and 7000 EWS rank so you definitely have chances to get admission in one of the NITs.
However you might also get ayour home state NIT with the benefits of home state quota but still your chances are low since NIT Patna cutoff is somewhat higher than that you scored.
But, you will get admission in other NITs
For knowing which NIT will suit you best according to your rank, you can refer to the link below
https://www.google.com/amp/s/engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches/amp

Hello Harsh
Sorry to say but with a rank near 57k, you would not be able to make it to any NIT. The chances are very less even if you belong to any of the reserved categories.
Since the seat allotment for NITs is done on the basis of CRL and thus, with this rank there are almost null chances that you would be able to get into any of the NITs.

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