i have got rank around 6000 in OBC category will I get any NLU ?

Hi.

Considering your rank you don't seem to have any chances for admission in any of yhe NLUs . You can try for the private colleges which accept Clat scores for admission. Here is a list-

MS Ramaiah College of Law, Bangalore

School of Law, University of Petroleum and Energy, Dehradoon

Nirma University, Ahemdabad

Amity Universities

Alliance school of law, Bangalore

Ansal University, Gurgaon

ICFAI Law School, Dehradun

IFIM Law College, Bangalore

JLU School of Law, Bhopal

Manav Rachna University, Faridabad

The NorthCap University, Gurgaon

VIT Law School, Chennai

Auro University, Surat

IMS Unison University, Dehradun

Best of luck!