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
College Comparison based on Courses, Placement, Rank, Fee
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile