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Hello Aspirant,
Getting admission into a good NIT depends on various factors like no. of students appeared, exam difficulty level, seat availability at college and previous years cutoff trends.
Seeing your percentile , your rank comes between 50k to 60k. For a candidate of your category, for getting admission into a NIT, you must at least have a rank of 9k to 12k. So, it is very difficult for you to get admission into the good NIT.
You can try for josaa counseling .
See the previous years cutoff trends of various NITs for your category below for more information,
https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches
B.Tech/B.Arch Admissions OPEN
Good luck
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