Hey,

I  read your problem statement , I am providing   a link for your query and some article. this is careers360 college predictor tool and previous year cut offs. it will help you alot. However according to me  you will not get any of your desired governmental college at this rank.  You can try for state  counselings or other colleges. 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