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Sorry but with this rank until and unless you have the benefit of state quota you wouldn't be able to get admission in NITs under any course. As to get NIT a general category student needs a rank below 20k. But you could get admission in top private colleges of jee mains.
You can predict what colleges you might get with this rank by going through the link of college predictor tool given below.
https://engineering.careers360.com/jee-main-college-predictor
Hope it helps.
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