Hello,

The list of the colleges is as follows:

1. IIT

2. Chandigarh University

3. Indraprastha Institute of Information Technology

4. Great Lakes International University

5. SRM Institute of Science and Technology

6. Vellore Institute of Technology

7. DY Patil University

8. UPES

9. Jain University

10. SRM University

11. Sharda University

12. Quantum University

13. Sage University

14. SVVV

15. Dehradun Institute of Technology

16. LPU

17. JK Lakshmipat University

18. Galgotias University

19. CT University

20. SPSU

21. Amity University

The entrance exams differs for university. Some, universities accept a single entrance exam but many take their own entrance exam as well.

Here, is the link related to the list of entrance exam:

https://www.google.com/amp/s/engineering.careers360.com/articles/top-engineering-entrance-exams-in-india/amp