You can consider below written options for doing LLB and LLM:

National Law University, Jodhpur, ILS LAW COLLEGE - PUNE, National Law School of India University ,Bangalore, Gujarat National Law University,School of Law- LOVELY PROFESSIONAL UNIVERSITY - JALANDHAR, THE WEST BENGAL NATIONAL UNIVERSITY OF JURIDICAL SCIENCES -KOLKATA, THE NATIONAL LAW INSTITUTE UNIVERSITY - BHOPAL, FACULTY OF LAW, BANARAS HINDU UNIVERSITY, VARANASI, FACULTY OF LAW-UNIVERSITY OF DELHI, NEW DELHI, NATIONAL LAW

After your graduation, you are eligible for 3 year LLB. The criteria varies in all colleges. The 3 year exams for law studies are:

• DU LLB
• BHU LLB
• LSAT India
• PU LLB and more

Some of the top law schools which have this 3 year law course program are:

• Faculty of Law of DU
• Banaras Hindu University
• Panjab University
• IIT Kharagpur
• Allahabad University, Department of Law

In general, you need to have 50% minimum (general category) in your graduation to apply for 3 year law exams but refer to the above exams official site for apt information or you can even ask here for whicn exam specifically you are asking for.

Based on your entrance and score you get shortlisted for the selection in that college.

The forms will be available from Feb 2018 for most of the exams. Till then you can focus on the preparation as well.

Good Luck.