Hello dear,

 With this rank, you have high chances of the following colleges :- 
 Bhagalpu College of Engineering, Bhagalpur 
Bhaktiyarpur College of Engineering, Patna 
Gaya College of Engineering, Gaya 
 Nalanda College of Engineering, Chandi 
Darbhanga College of Engineering, Darbhanga 
Please visit the following link and fill the details to know more colleges for you :- 
https://engineering.careers360.com/bcece-college-predictor 

The official date for counselling has not yet been announced. However, it is expected that it will start in the last week of July. 

Best of luck!!!!!