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Hello Aspirant,
Congrats for getting good percentile. This year total 869010 students attempted jee January. You can calculate your approximate rank using formula (100-percentile)*869010/100. That is 86,901. The chances of getting into home state nit are well. You can see last year cut offs for clarification :
https://www.google.com/url?sa=t&source=web&rct=j&url=https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches/amp&ved=2ahUKEwickbTG99_nAhW7zDgGHXgwCwQQFjALegQIBxAB&usg=AOvVaw2OXl9cMS4B7GJ9DfTIJZCg&cf=1
To predict the colleges for your percentile use below link:
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JEE Main College Predictor – Know your College Admission Chances Based ...
Hope this is useful
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