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Hi Alankrit,
As per the careers360 percentile predictor a mark of 77 corresponds to a rank between 93000 to 113000 with a percentile of 90 to 92 and yout caregory rank will be between 27000 to 32000.
I am putting you the link of the percentile predictor for reference:https://engineering.careers360.com/jee-main-rank-predictor
With this rank there are a few NITs and other good colleges which would provide you admission.
I am putting you a link of colleges with previous year cutoffs:https://engineering.careers360.com/articles/jee-main-cutoff.
Hope it helps
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