Hi.

Incase you are not interested in admission through JEE Main and Advanced then you can opt for private universities which give admission with or without an entrance examination. Some of these colleges (along with entrance exam) are:

1) BITS Pilani (BITSAT)

2) VIT Vellore (VITEEE)

3) Manipal Institute of Technology (MU-OET)

4) SRM University, Chennai (SRMJEEE)

5) MSRIT Bangalore (KCET or COMEDK)

If you have a further specific query please feel free to comment.

Best of Luck.