hello 

rohit bharti 

Now i will provide the information of generic engineering and there respective entrance exam will vary based on the college which you will select and also the list of colleges which this course is effectively provided

https://engineering.careers360.com/colleges/list-of-genetic-engineering-colleges-in-india

and also the major entrance exams are 

JEE Mains, JEE  advance, SRM EEE, VIT EEE, BIT SAT