Dear Aspirant.

You are looking for upcoming exam but you hadn't mention the stream. For Admission in various autonomous engineering colleges the  NTA is conducting JEE Mains. WEBJEE is conducted for West Bengal Engineering colleges. Many other state colleges also take admission on the basis of entrance test.

For Humanities courses you may apply for BHU entrance exam, JNU entrance exam etc. You may fill the form for many other government universities.

For medical you may attempt NEET, AIIMS, JIPMER, etc.

Hope this is helpful.