If you wish to get admission in Govt colleges then NITs and IITs would be the best choice and to get admission in these institutes Jee Main paper 2 (NITs) and AAT (IITs)  exams are there in which you will have to appear and apart from this NATA exam is there as few colleges accept its score as well.

Also, can you please share is there any particular college or state which you are interested in?

Good Luck!!!