Hello Aditya,

BCE Bhagalpur is one of the best colleges of Bihar, and therefore it is admired by many students. Therefore it is obvious that the merit list very high. The cut-off is highly variable and based on 2017 cut-off(as mentioned in the link below),

https://www.careers360.com/colleges/bhagalpur-college-of-engineering-bhagalpur/cut-off?cid=4820&college_id=5698&exam_id=1139&category=1423&csrfmiddlewaretoken=5im98LXHOpc9PYDT0YL0mUFpQZX0oYD2F4WUTUoV9CXtkdz7WMiLL8xCCHfsx3wB

As per the above link, you may not get CSE, but you may get ECE there, although the chances are less. 

(General category result)

hope this helps

Regards.