Hiii

Nowadays it is very rare that universities conduct their own exams, almost all the univerties consider the CAT exam for the purpose of admission into their university courses. But still a few private universities are their which still conduct their own entrance exam. Best 10 are listed below:

• Symbiosis International University 
• Xaviers School of Management (jamshedpur)
• NMIMS University
• SP Jain University
• Mudra Institute of communications
• ICFAI Business School
• XIM Bhubaneshwar
• Tata Institute of social science
• Shiv Nadar University

You must also consider the IIMs for MBA which grant admission on the basis of CAT.
Hope this helps.

Thanks!