No !
you should be either in the final year or already completed your graduation.
Candidates can check B.Tech Cut off for Top IITs & NITs here.
Hiiii dear!!!! I am sorry to say that no you can't appear for the examination of gate in your third year. You can only appear when you will have completed your graduation or during your 4th year when you are in your passing year of the graduation. Otherwise you cannot.
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