In order to become a software engineer you can go for B.tech programme and take CSE Or IT branch.  The entrance exam you can appear JEE Main Entrance Exam ( National Level Exam) the other exams BITSAT, SRM, VIT, Amrita and Manipal & your state level exam etc.

You can check the Engineering Entrance Exam with the given below link.

Https://engineering.careers360.com/exams?level=1

Good Luck!