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Hello Dear,
To get NIT Patna your rank must be below 35000. In terms of marks it must be between 110-115 depends on different branch the cutoff rank for varies . For more information you can check the list below:
https://engineering.careers360.com/articles/jee-main-cutoff-for-nit-patna
but as you know cut off depends upon the number of seats available, the difficulty level of paper and number of candidates writing the examination. And, hence varies every year depending on these factors. You have not mentioned your home state so the rank also depends on this factor. You can check the rank vs percentile vs marks below:
https://engineering.careers360.com/articles/jee-main-marks-vs-percentile
You can check our predictors link to know more about the college which you can get
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
Good Luck
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