Hello Aspirant,

As you have not mentioned the name of examination so it's quite difficult to guide you accurately but if we consider your profile then you are an engineering aspirant so you might be interested in JEE-MAIN if not then please mention it. According to the category rank you have mentioned in the question you cannot get any of the NITs as per previous year's cut-offs. So I would recommend you to take a drop and prepare for JEE-Main 2021 and to help you in your preparation we have some resources which you can access from the link given below :-

https://learn.careers360.com/knockout-jee-main-april/?product=27&icn=knockout-jee-main-2021-january&ici=

Note that the above prediction is made on the basis of previous year's cut-off and the cut-offs are bound to change every year depending upon various factors such as the number of candidates appearing in an examination, the number of candidates qualifying an examination, difficulty level of the paper, and so on.

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!!