Hello Aspirant,

According to the rank you have mentioned in the question you cannot get any of the NITs as per previous year's cut-offs until and unless you deserves Home State quota for any of the lower NITs 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!!