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Hey there!
Well it is difficult to tell whether you will get any NITs on the basis of score only. as admission to any institute is totally depends on ranking system of students and closing rank of colleges which is decided by authority.
However it is difficult to predict because these terms are depends on various factors like:
1- Difficulty level of examination
2- No. of students appeared in exam
3- Category of an individual
4- Relative marking
and many more, however we can get a rough idea of closing rank for various NITs by analyzing previous year trends.
With 68 percentile your general rank would be somewhere in between 327360 - 368000 as per our JEE Mains rank predictor
B.Tech/B.Arch Admissions OPEN
and your ST category rank would be in between 6000 to 7000
Hence according to previous years data the maximum closing rank of NITs for ST category is around 4000.
Considering these data you have low chances for getting NITs, however there are some chances for getting your home state NIT
I hope you get answer to your question!
Also if you want to know about the colleges in which you may get admission corresponding to your score, use college predictor tool by clicking on the link given below
https://engineering.careers360.com/jee-main-college-predictor
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