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1) In terms of theoretical stress concentration factor (Kt) and fatigue stress 
concentration factor (Kf ), the notch sensitivity ‘q’ is expressed as
A) 
(Kf -1) (Kt -1)
B) (Kf -1) (Kt +1)
C) (Kt -1) (Kf -1)
D) (Kf +1) (Kt 
+1)
Answer : (A)

2)Starting from x0 = 1, one step of 
Newton-Raphson method in solving the equation x3 + 3x -7 = 0 gives the next 
value (x1) as
A) x1 = 0.5
B) x1= 1.406
C) x1= 1.5
D) x1 = 
2
Answer : (C)

3) The S-N curve for steel becomes asymptotic 
nearly at
A) 10³ cycles
B) 10⁴ cycles
C) 10 
⁶ cycles
D) 10 ⁹ cycles
Answer : (C)

4)A company has two factories S1, S2 and two warehouses D1, D2. The supplies from 
S1 and S2 are 50 and 40 units respectively. Warehouse D1 requires a minimum of 
20 units and a maximum of 40 units. Warehouse D2 requires a minimum of 20 units 
and, over and above, it can take as much as can be supplied. A balanced 
transportation problem is to be formulated for the above situation. The number 
of supply points, the number of demand points, and the total supply (or total 
demand) in the balanced transportation problem respectively are
A) 2, 4, 
90
B) 2, 4, 110
C) 3, 4, 90 
D) 3, 4, 110
Answer : 
(C)

5) An incompressible fluid (kinematic viscosity, 7.4 x 10-7 
m2/s, specific gravity, 0.88) is held between two parallel plates. If the top 
plate is moved with a velocity of 0.5 m/s while the bottom one is held 
stationary, the fluid attains a linear velocity profile in the gap of 0.5 mm 
between these plates; the shear stress in Pascals on the surface of top plate 
is
A) 0.651 x 10-3
B) 0.651
C) 6.51
D) 0.651 x 103
Answer 
: (B)

6) The tool of an NC machine has to move along a circular arc 
from (5,5) to (10,10) while performing an operation. The centre of the arc is at 
(10,5). Which one of the following NC tool path commands performs the above 
mentioned operation?
A) N010 G02 X10 Y10 X5 Y5 R5 
B) N010 G03 X10 Y10 
X5 Y5 R5
C) N010 G01 X5 Y5 X10 Y10 R5 
D) N010 G02 X5 Y5 X10 Y10 
R5
Answer : (D)

7) During a Morse test on a 4 cylinder 
engine, the following measurements of brake power were taken at constant 
speed.
All cylinders firing 3037 kW
Number 1 cylinder not firing 2102 
kW
Number 2 cylinder not firing 2102 kW
Number 3 cylinder not firing 2100 
kW
Number 4 cylinder not firing 2098 kW
The mechanical efficiency of the 
engine is
A) 91.53% 
B) 85.07%
C) 81.07% 
D) 61.22%
Answer : 
(C)

Author	Message
Neha Agarwal Groupie Joined: 04Jan2007 Online Status: Offline Posts: 59	Topic: Mechanical GATE Sample paper Posted: 04Jan2007 at 5:17pm
	1) In terms of theoretical stress concentration factor (Kt) and fatigue stress concentration factor (Kf ), the notch sensitivity ‘q’ is expressed as A) (Kf -1) (Kt -1) B) (Kf -1) (Kt +1) C) (Kt -1) (Kf -1) D) (Kf +1) (Kt +1) Answer : (A) 2)Starting from x0 = 1, one step of Newton-Raphson method in solving the equation x3 + 3x -7 = 0 gives the next value (x1) as A) x1 = 0.5 B) x1= 1.406 C) x1= 1.5 D) x1 = 2 Answer : (C) 3) The S-N curve for steel becomes asymptotic nearly at A) 10³ cycles B) 10⁴ cycles C) 10 ⁶ cycles D) 10 ⁹ cycles Answer : (C) 4)A company has two factories S1, S2 and two warehouses D1, D2. The supplies from S1 and S2 are 50 and 40 units respectively. Warehouse D1 requires a minimum of 20 units and a maximum of 40 units. Warehouse D2 requires a minimum of 20 units and, over and above, it can take as much as can be supplied. A balanced transportation problem is to be formulated for the above situation. The number of supply points, the number of demand points, and the total supply (or total demand) in the balanced transportation problem respectively are A) 2, 4, 90 B) 2, 4, 110 C) 3, 4, 90 D) 3, 4, 110 Answer : (C) 5) An incompressible fluid (kinematic viscosity, 7.4 x 10-7 m2/s, specific gravity, 0.88) is held between two parallel plates. If the top plate is moved with a velocity of 0.5 m/s while the bottom one is held stationary, the fluid attains a linear velocity profile in the gap of 0.5 mm between these plates; the shear stress in Pascals on the surface of top plate is A) 0.651 x 10-3 B) 0.651 C) 6.51 D) 0.651 x 103 Answer : (B) 6) The tool of an NC machine has to move along a circular arc from (5,5) to (10,10) while performing an operation. The centre of the arc is at (10,5). Which one of the following NC tool path commands performs the above mentioned operation? A) N010 G02 X10 Y10 X5 Y5 R5 B) N010 G03 X10 Y10 X5 Y5 R5 C) N010 G01 X5 Y5 X10 Y10 R5 D) N010 G02 X5 Y5 X10 Y10 R5 Answer : (D) 7) During a Morse test on a 4 cylinder engine, the following measurements of brake power were taken at constant speed. All cylinders firing 3037 kW Number 1 cylinder not firing 2102 kW Number 2 cylinder not firing 2102 kW Number 3 cylinder not firing 2100 kW Number 4 cylinder not firing 2098 kW The mechanical efficiency of the engine is A) 91.53% B) 85.07% C) 81.07% D) 61.22% Answer : (C)
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