Hello student,
With a rank of around 31,000 you have chances of procuring a seat in the NIT Patna, when comparing the results of previous years. Last year, the closing ranks for CSE for general category was around 29,600 for the home state quota , which was a very close shot
So you may get in the final round, if possible. But, these are just predictions and the exact thing cannot be told for sure as trends change every year. Please go through the following article to know the cut off's and ranks for the NIT Patna and evaluate your chances of selection
https://engineering.careers360.com/articles/jee-main-cutoff-for-nit-patna
Good luck

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