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Hey,
I read your problem statement , I am providing you a link for your question and some article. this is careers360 college predictor tooland previous year cut offs. it will help you alot. However according to me you will not get any of your desired college at this rank.you can try for state counselling for it.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
https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches
https://engineering.careers360.com/articles/jee-main-cutoff-for-top-gftis
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