Hello Dear,
No, there is no NRI quota in NITs. NRI students, just like Indian Nationals, have to clear the cut-off for JEE Mains and admission will happen on the basis of their ranks. As per the performance by you there is a less chance you can get any seats in NIT Trichy. Your rank will be around 115045 - 85657. As you have not mentioned the category in which you have applied for. On this performance there is very less chance you can get any NIT/IIIT government college .
You can check the rank vs percentile vs marks below:
https://engineering.careers360.com/articles/jee-main-cutoff-for-nit-trichy
https://engineering.careers360.com/articles/jee-main-marks-vs-percentile
You can check our predictors link to know more about the college which you can get
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
Good Luck
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