Can I do BA LLB without appearing for any entrance exam? If yes, which are the universities for the same?

Yes, you can do that.

There are very few colleges which takes admission through academic cut off and the best ones among those are: 1. MS Ramaiah College of Law. 2. UPES College of Legal Studies Dehradun. 3. Faculty of Law - Kurukshetra University and 4. Indian Law Society's Law College - Pune. If you've really good ma

For LLB, you have to give entrance exam as it the procedure to get admission.