These are following exams for 3 years LLB
There are many universities offer Three years Law programme. Here are some of the the top unversities you can prefer Faculty of Law Delhi University, Faculty of Law Banaras Hindu University, Punjab University etc. There are other state level entrance Exam also, The state you belong if you explain then I can help about it.
As per the eligibility you should be Graduate with minimum 50% marks.
Any particular college you are interested to know.