Here are the previous question papers for GATE exam . You can download it free(question papers) 

SEE this : GATE 2012: Answer Key and Paper solution for cross checking All branches : ECE  EE, ME, IN, MA, PH, XE, CE, CH, CS

Link from official IIT website.

 

GATE Old question papers year 2011

 

GATE Old question papers year 2010

 

GATE Old question papers year 2009

 

GATE Old question papers year 2008

 

GATE Old question papers year 2007

 

 

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