Which college not private can I get if I just clear the cutoff in Jee advance and having last selected AIR ?

If you have scored minimum qualifying marks for JEE ADVANCED then you are only eligible for JEE ADVANCED counselling means you can only apply for IITS/ISM through your Advanced score ,you can't get any other college through your ADVANCED score.For getting admissioned  into other colleges like NITs or any other government colleges your JEE MAINS score only matter.So just getting cut off marks for ADVANCED doesn't fetch you any college.