Hello Aspirant,

According to the category and percentile you have mentioned in the question your rank is expected to be around 3.8 Lacs so on the basis of this rank you cannot get any of the NITs as per previous year's cut-offs but I would suggest you to sit for some state counselling because in some of the state government colleges you can get admission on such ranks.

Note that the cut-offs are bound to change every year depending upon various factors.

So you can use JEE-Main College Predictor to predict your chances of admission in different engineering colleges of India :-

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

I hope this information helps you.

Good Luck!!