There are as many as 14 Central Universities in India. And CUCET  is the Common Entrance Examination for admission to all these Central Universities for their Undergraduate, Postgraduate, M.Phil and Ph.D courses. You can check the list of the Participating Universities and the no.of seats offered at our page: https://university.careers360.com/articles/cucet-participating-universities . NTA is the conducting authority for CUCET 2020. CUCET is also for Integrated Science courses, B.Tech, MA, etc. You can check the complete list of our courses at: https://university.careers360.com/articles/cucet-programmes . Now regarding JEE Mains and EAMCET, it is not for all the Institutions. It is only for Central Universities. The no.of Candidates appearing for CUCET might be less than those appearing for JEE Mains but more than Candidates appearing for EAMCET.