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19th August 2014, 02:02 PM
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Join Date: Apr 2013
Re: Previous GATE Entrance exam papers

Here I am giving you question papers of GATE Mechanical Branch with solution in PDF file attached with it so you can get it easily.

1. The partial differential equation
(A) Linear equation of order 2 (B) Non-linear equation of order 1
(C) Linear equation of order 1 (D) Non-linear equation of order 2
Answer: (D)

2. The eigen values of symmetric matrix are all
(A) Complex with non-zero positive imaginary part
(B) Complex with non-zero negative imaginary part
(C) Real
(D) Pure imaginary
Answer: (C)
3. Match the CORRECT pairs:
Numerical Integration Scheme Order of Fitting Polynomial
P. Simpson’s 3/8 Rule 1. First
Q. Trapezoidal Rule 2. Second
R. Simpson’s 1/3 Rule 3. Third
(A) P-2; Q-1; R-3 (B) P-3; Q-2; R-1 (C) P-1; Q-2; R-3 (D) P-3; Q-1; R-2
Answer: (D)

4. A rod of length L having uniform cross-sectional area A is subjected to a tensile
force P as shown in the figure below. If the Young’s modulus of the material
varies linearly from 1 E to 2 E along the length of the rod, the normal stress
developed at the section-SS is
Answer: (A)
Stress depends on area.

5. The 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 the bolt B
and the mean diameter of bolt A is 12mm, the mean diameter of bolt B in mm is
(A) 16 (B) 24 (C) 36 (D) 48
1 E 2 E
Answer: (B)

6. 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 = 1m, the magnitude of the absolute acceleration of the block at location A in
2 m/ s is
(A) 3 (B) 4 (C) 5 (D) 6
Answer: (C)


8. The pressure, dry bulb temperature, and relative humidity of air in a room are
1bar, 30ºC and 70% respectively. If the saturated steam pressure at 30ºC is
4.25kPa, 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
Answer: (C)
Explanation:
5 P 1 bar 10 Pa 100 KPa = = =
sat P 4.25KPa =
( )
× ×
= =
− p
0.622 0.7 4.25
S .humidity 0.019
100 4.25
9. 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 0 k k bT = + ; where 0 k and b are positive
constants and T is temperature.
As x increases, the temperature gradient ( ) dT / dx will
(A) Remain constant (B) Be zero (C) Increase (D) Decrease
Answer: (D)

10. 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

GATE Mechanical Branch paper with solutions



Attached Files
File Type: pdf GATE Mechanical Branch paper with solutions.pdf (232.9 KB, 55 views)


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