hii,
I read your problem statement , I am providing you a link for your question. this is careers360 college pridictor tool and cut of of the nit. it will help you alot. However according to me you will not get any nit with good branch for the rank. Hope that it is helpful to you. wish you all the best.
regards
https://engineering.careers360.com/jee-main-college-predictor?icn=jee-main-clgpd_landing-page&ici=prediction-section_c360-home
https://engineering.careers360.com/articles/jee-main-cutoff-for-top-nits
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile