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Hello,
NITs take candidates who has rank below 5k. your categorical rank is 28k.
You have home state quota then you rank will be decreased more.
for the first round couselling in home quota the highest closing rank was :- 4577 in Mining Engineering
for the last round i.e. round 7:- 6175 in mining engneering.
even it increase this year your rank will not come into the range.
you can try for guvernment funded Engineering College and apply for TFW for which you don't have to pay the tuition fees for each semester.
visit the link to get the list of colleges where you can join:- https://engineering.careers360.com/colleges/ranking/top-engineering-colleges-in-karnataka-accepting-jee-main-score
B.Tech/B.Arch Admissions OPEN
to get the list of colleges you can join as per your rank and category:- https://engineering.careers360.com/jee-main-college-predictor
Hope it helps!
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