hi,

see cutoff score fluctuate every year and it varies with certain factors like number of applicants, stream of engineering, students category, domicile and so on. however every nit has 50% seat reserve for domicile candidates. now based on your percentile you approximate over all rank would be 51150 - 57500 , however this is not your category rank and at this rank you have tough chances for top nits.

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