It would be tough to tell you the exact, BCECE cutoff is released by Bihar Combined Entrance Competitive Examinations Board (BCECEB) in online mode with opening and closing ranks. It varies every year and depends on the various factors like Number of seats availability, Number of Candidate appeared in the exam, Difficulty level of the exam etc.
You can also refer the below given article regarding the further information.

https://engineering.careers360.com/articles/bcece-cutoff

Good Luck!