hi,

see cutoff score changes every year and it depends on certain factors like number of applicants, questions difficulty level, seat matrix, students category, choice of streams etc. so it is quite difficult to predict college just based on percentile, in josaa counselling NITS, IIITS, GFTIS has participated.  JEE Main rank is used for the admissions to UG engineering programs offered by 31 NITs, 25 IIITs, and 28 CFTIs in addition to admission in states like Odisha, Madhya Pradesh, Haryana, Uttarakhand, Punjab, Bihar, Jharkhand and Nagaland, and many other private universities and institutes.

do mention your rank , To know about the complete list of colleges based on your category please enroll for careers360 college predictor  tool,

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