Hello aspirant!  Let me to inform you that you have got a decent rank in the bcece . According to your rank you can get bhagalpur engineering college, muzaffarpur institute of technology, gaya engineering college. These are considered to be among the top state colleges. So may be you won't get your desired branch but you can definitely get these colleges. You can check cut off for bhagalpur here :

https://www.google.com/url?sa=t&source=web&rct=j&url=https://www.careers360.com/colleges/bhagalpur-college-of-engineering-bhagalpur/cut-off&ved=2ahUKEwjKnffG1eDjAhUUWX0KHT0sAywQFjABegQICBAB&usg=AOvVaw371QTtpgDiCA99PkTNI9MT