Hello Aspirant,

As you have not mentioned your category so it is little bit difficult to guide you with an accurate information but although according to the category rank you have mentioned in the question you cannot get any of the NITs or IIITs until and unless you deserves Home State quota 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. You can also check out previous year's cut-offs for top NITs from the link given below :-

https://www.google.com/amp/s/engineering.careers360.com/articles/jee-main-cutoff-for-top-nits/amp

For cut-offs of top IIITs refer to the link given below :-

https://www.google.com/amp/s/engineering.careers360.com/articles/jee-main-cutoff-for-top-iiits/amp

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!!