In order to get admission in engineering program you have to appear for the entrance exam.

Below are the entrance exam in which you can apply

1- JEE (Main+Advanced) - You can apply for this entrance exam  to take admission in IITs/NITs/IIITs and CFTIs. You should have 75% marks in your 12th class in order to be eligible or you should be in top 20 percentile. For SC/ST you should have 65% marks.

You can also apply in DTU and NSIT it takes JEE Main rank to provide admission and counselling is held through JAC Delhi.

There are many  private colleges as well who consider JEE Main score to provide admission.

2- You should apply in your state level entrance exam to take admission in state government colleges.

3- BITSAT

4- SRM

5- Manipal

6- Amrita

7- COMEDK

To check in detail about the entrance exam you can refer below link

https://engineering.careers360.com/exams

Good Luck!!