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Hey there
Nit Patna reputation is becoming good nowadays and so cuttoffs are increasing for the college but as per the previous year analysis I would say in obc your rank should be around 9000 in obc if you have state quota. For other state student your rank should be around 8000 in obc.
Check the cutoff for nit Patna
https://www.google.com/url?sa=t&source=web&rct=j&url=https://engineering.careers360.com/articles/jee-main-cutoff-for-nit-patna/amp&ved=2ahUKEwja2PjlvNXkAhUKwI8KHVd2CRIQFjAAegQIAxAB&usg=AOvVaw3LRyffF5NZGVni29TEvgq1&cf=1
Good luck
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