Hey aspirant

For the above rank you have a very less chance for getting admission in NIT. Sc category rank within 4k is needed to get admission in any branch of NIT. Cut off for jee advanced is 47 for sc. So you are eligible for jee advanced. By improving your mark and rank you could get admission for IIT. For that 96+ percentile is needed. With above rank you have a good chance of getting admission in other private engineering colleges. For more details refer below link https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna&utm_medium=jee_cp