Hello Aspirant,
Since you have not mentioned your GATE score so it's quite difficult to guide you with accurate list but as per your rank your marks are expected to be around 800, if not then please mention your GATE 2021 score, so If we go through the analysis of previous year's GATE score Vs College allotment than according to the GATE 2021 score mentioned by you in the query, you have chances in following colleges :-
IIT Delhi
IIT Kanpur
IIT Madras
And some more. You can check out previous year's cut-offs from the link given below :-
https://engineering.careers360.com/articles/gate-cutoff
Note that the above prediction is made on the basis of latest cut-offs 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 GATE 2021 Score and category you can use GATE College Predictor :-
https://engineering.careers360.com/gate-college-predictor?icn=GATE_clgpd&ici=GATE_article_view_sticky
I hope this information helps you.
Good Luck!!
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