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hi,
see cutoff score changes every year and it depends on certain factors like number of applicants, questions difficulty level, seat matrix, students category. however there is separate cutoff available as per home state quota and all india quota.
last years home state quota opening and closing rank for nit patna
OBC-NCL 3232 - 3900
All india quota opening and closing rank
obc ncl 3051- 3828
however to get the complete list of college name based on your category and score please enroll for careers360 jee main paper 2 college predictor tool,
https://engineering.careers360.com/jee-main-architecture-college-predictor
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