Hello Aspirant,

According to the category and rank you have mentioned in the question 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. Now in your case as you belongs to UP so if you are going to appear for UPSEE 2020 and if you score your rank under 1000 in it then you are going to get very good colleges in UP like KNIT Sultanpur, Integral University Lucknow, AKTU and so on.

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!!