Dear student,

As you have secured 60000 rank in JEE mains with your OBC category then it is quite impossible for you to get a seat in any NITs.
With this 60000 rank in obc category you can't even get the lowest branch in in any NIT.
Because the competitions are increased very much and you have to secure at least under 10000 rank from obc category to get a seat in good branch of a good nit.

But if you belong from home state quota then there might be chance that you can get some lower nits like NIT Manipur, NIT Arunachal Pradesh, NIT Srinagar, NIT Puducherry.
But if you doesn't belong from home state quota then sorry you have no chance of getting any NIT.
Also in csab round counseling your chances are difficult in nits.
Better you try at some other private Institutions.

Check out the previous years cutoff trends for top btech branches in nits :-
https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches

Also check out our jee mains college predictor tool to get an appropriate idea about the colleges that you can get on the basis of your jee mains rank :-

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer