Hello Aneesh,

According to you, you scored 96 percentile in JEE Mains then your rank would be around 40920 - 46000 . University of Hyderabad offers Integrated course. The eligibility criteria of admission in University of Hyderabad for Integrated course  is that candidates have passed class 12 and qualiy JEE Mains with a valid rank . There is a minimum chance to get admission in University of Hyderabad. According to the previous year, the closing rank of Integrated course in this college is 17253.

You can  predict  colleges from the link given

To more information about University of Hyderabad:-

University of Hyderabad (UOH) Hyderabad: Admission 2021, Courses, Fee, Cutoff, Ranking, Placements & Scholarship (careers360.com)

Hope this information helps you...

Best of luck :)