NLU Delhi (NLUD) - National Law University

If you wanna pursue career in public services, BA L.LB is the best thing to do.

Various universities including Delhi University, BHU offers 3 year LLB course.

Please see: https://www.shiksha.com/university/the-national-law-institute-university-bhopal-23639/admission#admission

Eligibility for CLAT - 45% in 12th; Fee Structure for NLU - 10 Lacs (including hostel). Cutoff will change in every year.

NLU Jodhpur cut-off 2017
CLAT 2017 NLU Jodhpur cut-offs for UG
Category Rank - Round 1
AI Unreserved- 343
AI Horizontal SAP- 4649
AI Scheduled Caste- 4882
AI Scheduled Tribe- 8051

NLUs are top law colleges in India established by Government for quality law education. You may give NLUs preference over Amity University for law qualification.

Yes, it is possible. Some of the private universities take admissions without entrance.

No, it features in between 6 to 10. The ranking are as follows:
NLSIU Nlu banglore banglore01
Nalsar University of LawNalsar University of Law Hyderabad 02
National Law University, Jodhpur National Law University, Jodhpur Jodhpur
03 West Bengal National University of Juridical SciencesWest Bengal National University of Juridical Sciences Kolkata04
Rajiv Gandhi School of Intellectual Property Law Rajiv Gandhi School of Intellectual Property Law Kharagpur 05
Faculty of Law University of Delhi Delhi
06
National Law University, Delhi National Law University, Delhi Delhi

The cut off of the CLAT 2017 is mentioned on this link: https://www.shiksha.com/law/articles/clat-2017-cut-off-blogId-12552

Generally the top NLU's cutoffs are 145 but scoring above 140 might get you a chance to get through NLU Trichy.