Here I am giving you name of some entrance examination for admission in genetics engineering course offered by reputed colleges in India below :

List of Genetic Engineering Entrance Exams
All India Common Entrance Test
Jawaharlal Nehru University Biochemical Engineering and Biotechnology Entrance Exam (JNU EEE)
SRM University Genetic Engineering Entrance Exam
Tamil Nadu Common Entrance Test (TANCET) Genetic Engineering Entrance Exam
All India Postgraduate Medical Entrance exams
Assam Joint entrance Test in Genetic Engineering and Biotechnology
Graduate Aptitude Test in Engineering
Indian Institute of Technology – Joint Entrance Exam
International Centre for Genetic Engineering and Biotechnology Entrance Exam