If you want to take admission in government colleges you can check the list below for which you can take admission through JEE entrance exam. 

Indian Institute of Technology Kharagpur

National Institute of Technology Karnataka, Surathkal

National Institute of Technology Rourkela

Indian Institute of Engineering Science and Technology, Shibpur

To take admission in state government colleges in Jharkhand you have to appear for JCECE exam.

Good Luck!!