There are various colleges out there providing Aerospace Engineering, like:

Indian Institute of Technology Bombay.

Manipal Institute of Technology, Manipal.

SRM Institute of Science and Technology, Chennai.

RV College of Engineering, Bangalore.

Indian Institute of Space Science and Technology, Thiruvananthapuram.

Lovely Professional University, Phagwara.

Indian Institute of Technology Madras

Hence please mention the name of the Entrance exam for which you want to know.

All the best!!