GATE Mechanical Engineering Stream Previous papers

Will you please provide me question paper for GATE Mechanical Engineering Stream examination in a PDF file format ?

[Arun Vats]

Here I am giving you question paper for GATE Mechanical Engineering Stream examination in a PDF file attached with it so you can get it easily.

Q.1 Customers arrive at a ticket counter at a rate of 50 per hr and tickets are issued in the order of their
arrival. The average time taken for issuing a ticket is 1 min. Assuming that customer arrivals form a
Poisson process and service times are exponentially distributed, the average waiting time in queue
in min is
(A) 3 (B) 4 (C) 5 (D) 6
Q.2 A metric thread of pitch 2 mm and thread angle 60° is inspected for its pitch diameter using 3-wire
method. The diameter of the best size wire in mm is
(A) 0.866 (B) 1.000 (C) 1.154 (D) 2.000
Q.3 Match the CORRECT pairs.
Processes Characteristics / Applications
P. Friction Welding 1. Non-consumable electrode
Q. Gas Metal Arc Welding 2. Joining of thick plates
R. Tungsten Inert Gas Welding 3. Consumable electrode wire
S. Electroslag Welding 4. Joining of cylindrical dissimilar materials
(A) P-4, Q-3, R-1, S-2 (B) P-4, Q-2, R-3, S-1
(C) P-2, Q-3, R-4, S-1 (D) P-2, Q-4, R-1, S-3
Q.4 In a rolling process, the state of stress of the material undergoing deformation is
(A) pure compression (B) pure shear
(C) compression and shear (D) tension and shear
Q.5 Consider one-dimensional steady state heat conduction, without heat generation, in a plane wall;
with boundary conditions as shown in the figure below. The conductivity of the wall is given by
bT k k + = 0 ; where k0 and b are positive constants, and T is temperature.
As x increases, the temperature gradient ( dx dT ) will
(A) remain constant (B) be zero (C) increase (D) decrease
Q.6 The pressure, dry bulb temperature and relative humidity of air in a room are 1 bar, 30°C and 70%,
respectively. If the saturated steam pressure at 30°C is 4.25 kPa, the specific humidity of the room
air in kg water vapour/kg dry air is
(A) 0.0083 (B) 0.0101 (C) 0.0191 (D) 0.0232

Q.8 A link OB is rotating with a constant angular velocity of 2 rad/s in counter clockwise direction and
a block is sliding radially outward on it with an uniform velocity of 0.75 m/s with respect to the
rod, as shown in the figure below. If OA = 1 m, the magnitude of the absolute acceleration of the
block at location A in m/s2 is
(A) 3 (B) 4 (C) 5 (D) 6

Q.9 Two threaded bolts A and B of same material and length are subjected to identical tensile load. If
the elastic strain energy stored in bolt A is 4 times that of bolt B and the mean diameter of bolt A is
12 mm, the mean diameter of bolt B in mm is
(A) 16 (B) 24 (C) 36 (D) 48

Q.14 Choose the CORRECT set of functions, which are linearly dependent.
(A) x sin , 2 sin x and 2 cos x (B) cos x , x sin and x tan
(C) cos 2x , 2 sin x and 2 cos x (D) cos 2x , x sin and x cos

Q.15 Let X be a normal random variable with mean 1 and variance 4. The probability P{X < 0} is
(A) 0.5 (B) greater than zero and less than 0.5
(C) greater than 0.5 and less than 1.0 (D) 1.0

Q.16 A planar closed kinematic chain is formed with rigid links PQ = 2.0 m, QR = 3.0 m, RS = 2.5 m
and SP = 2.7 m with all revolute joints. The link to be fixed to obtain a double rocker (rockerrocker)
mechanism is
(A) PQ (B) QR (C) RS (D) SP

Q.17 If two nodes are observed at a frequency of 1800 rpm during whirling of a simply supported long
slender rotating shaft, the first critical speed of the shaft in rpm is
(A) 200 (B) 450 (C) 600 (D) 900

Q.18 A long thin walled cylindrical shell, closed at both the ends, is subjected to an internal pressure.
The ratio of the hoop stress (circumferential stress) to longitudinal stress developed in the shell is
(A) 0.5 (B) 1.0 (C) 2.0 (D) 4.0

Q.19 A cylinder contains 5 m3 of an ideal gas at a pressure of 1 bar. This gas is compressed in a
reversible isothermal process till its pressure increases to 5 bar. The work in kJ required for this
process is
(A) 804.7 (B) 953.2 (C) 981.7 (D) 1012.2

Q.20 Consider one-dimensional steady state heat conduction along x-axis (0 ≤ x ≤ L), through a plane
wall with the boundary surfaces (x=0 and x=L) maintained at temperatures of 0°C and 100°C. Heat
is generated uniformly throughout the wall. Choose the CORRECT statement.
(A) The direction of heat transfer will be from the surface at 100°C to the surface at 0°C.
(B) The maximum temperature inside the wall must be greater than 100°C.
(C) The temperature distribution is linear within the wall.
(D) The temperature distribution is symmetric about the mid-plane of the wall.

Q.21 In order to have maximum power from a Pelton turbine, the bucket speed must be
(A) equal to the jet speed. (B) equal to half of the jet speed.
(C) equal to twice the jet speed. (D) independent of the jet speed.