Sir I have got 75 percentile in jee mains and AIR(5303) and I belongs to ST category can I seek admission in any government institutions
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With this score getting good government college is difficult. But you check for NIts cutoffs on the following link, these cutoffs are of previous year and you can get rough idea through it
https://www.google.com/amp/s/engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches/amp
For other available colleges with your rank you can check on our college predictor link provided below
https://engineering.careers360.com/jee-main-college-predictor
Hope this solves your query.
Good Luck!!
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