Hello,
Your GATE score is good. Top IITs accept upto 700 score which indicates there is high chance for you for lower IITs.
for Design engineering, Cutoff score(GEN category):-
You can apply for IIT campus like Dhanbad, Mandi, Banglore.
for cutoff college wise, you can visit the link below:-
https://engineering.careers360.com/articles/gate-cutoff
Hope it helps!
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