Admissions to NITs in India for B.Tech degrees is done by conduction og JEE MAINS. As you have brilliant marks you can easily appear for JEE MAINS and cross the cut off for the NIT of your choice.
For instance, The detailed cut off for NIT Warangal can be found here: https://engineering.careers360.com/articles/jee-main-cutoff-for-nit-warangal
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