Hello Aspirant,

See it is not clear from the question that for which exam are you asking about because you are an engineering aspirant according to your profile then either you might be interested in JEE-Main or in JEE-Advance. So if we consider it for JEE-Advance then according to the rank and category mentioned by you in the question you have no chances of getting into any of the IITs.

You can check out previous year's JEE-Advanced cut-off for IITs kindly refer to the link given below :-

https://engineering.careers360.com/articles/jee-advanced-cutoff-for-iits

But if you have good rank in JEE-Main then you can get good NITs also and you can predict the colleges which you can get from JEE-Main by using JEE-Main College Predictor :-

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

But if you are talking about JEE-Main then also you do not have chances for getting any of the NITs/IIITs on such rank but yes you can get some private engineering institutions like SRM University, Amity University, Sharda University and so on. Or you can take a drop and prepare yourself for JEE-Main 2021 or JEE-Advance 2021 if you can afford and to help you in your preparation you can use some resources from the link given below which are made by our experts :-

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.

To have a list of all those colleges which you can get based upon your marks, category, and state you can use JEE-Advance College Predictor:-

https://engineering.careers360.com/jee-advanced-college-predictor?icn=QnA&ici=qna_answer

I hope this information helps you.

Good Luck!!