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Hi Nikit, If you see the previous year cutoff of NIT Patna then there are chances to get admission on it.if your rank under the 5500 in your category then your chances are high.you can check it out previous years cutoff ranks given below links :
https://engineering.careers360.com/articles/jee-main-cutoff-for-nit-patna
your chances to get another NIT also high but the selection of branch may vary.
Good Luck
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