Hello Vijay. You mentioned you belong to EWS subcategory and your EWS rank is 10,000 while your CRL-AIR is 67000. Well, based on previous years' data and your performance in JEE Main 2021, you have low chances to get admission to any branch of NIT.  However, if you are lucky enough and if the seats are available then  you may get chance at non-core branches in NIT Raipur and NIT Nagaland in the terminal rounds or mop-up rounds of the counselling sessions.

In 2020, the JEE Main Cutoff AIR for NIT Raipur for EWS category candidates in Round 8 was 69,853 (for admission to Biomedical Engineering) and the same for NIT Nagaland for EWS candidates in Round 8 were 71,083 (for Electronics and Instrumentation Engineering), 72,924 (for Mechanical Engineering) and 76,735  (for Civil Engineering).

If you want to know more about JEE Main cutoff trend in various branches of NITs then check out this article:

https://engineering.careers360.com/articles/jee-main-cutoff-for-top-nits

To get a detailed personalized report on your eligibility in various colleges based on your performance in JEE Main, I encourage you to use JEE Main 2021 College Predictor:

https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna&utm_medium=jee_cp

I hope this information is enough to answer your query. I wish you all the best for your future and career.

Thank you and good luck for the counselling sessions!