Hello,
As per your requirement, i would say that as your cgpa is 6.21 cgpa in cs so your definitely eligibke for mtech.
For IIT madras and IIT kanpur there is no restriction from cgpa side and same rule for IISC banglore also.but for other IITs and NIT s 60% mark is compulsory fot m.tecth.
There is no minimum CGPA required to attempt GATE . But, if you qualify and apply for admission in masters program in any institute, then you must fulfill the CGPA /percentage criteria for that institute. As far as I can recall, it is not more than 60% or CGPA 6 in any IIT.
GATE in unlike JEE where your board exam marks matter in deciding your overall rank. In GATE , only your performance in the exam matter while calculating the rank. Your B.Tech . marks does not affect your GATE rank at all.
Good luck
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