Hello Aspirant,

According to the category rank you have mentioned in the question you cannot get any of the NITs or good GFTIs 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 as you belongs to UP so if you are going to appear for UPSEE then you should try to secure your rank under 1000 in it for top government engineering colleges in UP like :-

• AKTU
• KNIT Sultanpur
• Integral University Lucknow
• Bundelkhand Institute of Technology

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!!