They mostly give JEE main and JEE advance , apart from that you can also give NDA.

Mostly :
Jee main and Jee advance

Hello,
When compared to other fields,after 12th engineering entrance exams are mostly given by candidates like JEE,VITEEE,SRMJEEE,COMEDK,WBJEE,UPSEE,MHTCET,..and many more.
But i will suggest you to choose a field according to your own interest because it is really very important to make your future bright.
Good luck.