Hi there

Currently there are good number of entrance examinations to Universities that offer 5 year Integrated course in Law. Be it BA/BBA. Considering your requirements, I can suggest you some entrance examinations.

1) Common Law Admission Test (CLAT)

This examination is for admissions to the 21 National Law Universities in India

2) All India Law Entrance Test (AILET)

For National Law University Delhi/ Faculty of Law

3) Law School Admission Test ( LSAT)

  This entrance examination is for admissions in several private colleges not only in India but also abroad. Jindal Global Law School accepts LSAT score for admission.

4) Symbiosis Law Entrance Test( SLAT)

 For Symbiosis Law School, Pune, Noida, Hyderabad and Nagpur

5) Maharashtra CET (MHCET)

GLC/ Indian Law School

6) Entrance Test for Christ University

Chist University , Bangalore also offers BA LLB

 These are some of the important ones I have listed. Careers 360 has provided a detail list of Law Entrance examinations matching your requirement. It would definetly be helpful to you.