GATE 2012 and GATE 2013 question papers in pdf format are available here for download.

GATE Paper	GATE Year 2012	GATE Year 2013
AE: Aerospace Engineering
AG: Agricultural Engineering
AR: Architecture and Planning
BT: Biotechnology
CE: Civil Engineering
CH: Chemical Engineering
CS: Computer Sc. and Information Technology
CY: Chemistry
EC: Electronics and Communication Engg.
EE: Electrical Engineering
GG: Geology and Geophysics
IN: Instrumentation Engineering
MA: Mathematics
ME: Mechanical Engineering
MN: Mining Engineering
MT: Metallurgical Engineering
PH: Physics
PI: Production and Industrial Engineering
TF: Textile Engineering and Fibre Science
XE: Engineering Sciences
XL: Life Sciences