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Hello Aspirant,
According to the rank and category mentioned by you in the question you have good chances of getting the enlisted colleges but with some lower branches like Bio-engineering, Material Science and likewise :-
And some more. Note that the above list 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.
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
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!!
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