hi,
see cutoff score changes every year and it depends on certain factors like number of applicants, questions difficulty level, seat matrix, students category and so on. since cutoff score changes every year it is quite difficult to say about exact score for any particular stream. nits has 50% seats reserve for domicile candidates. try to score around 80% right answers in jee main exam to get a tier 1 institute.
In case you have appeared for one of the previous jee main session, To know about complete list of probable college name, based on your score, category please use Careers360 college predictor tool,
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile