Gate: Mechanical Engg, Sample Test Paper - III

Mechnical Engineering Sample Papers 3

During the execution of a CNC part program block NO20 GO2 X45.0 Y25.0
R5.0 the type of tool motion will be
A) circular Interpolation —
clockwise
B) circular Interpolation — counterclockwise
C) linear
Interpolation
D) rapid feed
Answer : (A)

2 A component
can be produced by any of the four processes I, II, III and IV. Process I has a
fixed cost ofRs. 20 and variable cost of Rs. 3 per piece. Process II has a fixed
cost Rs. 50 and variable cost of Re. 1 per piece. Process III has a fixed cost
of Rs. 40 and variable cost of Rs. 2 per piece. Process IV has a fixed cost of
Rs. 10 and variable cost of Rs. 4 per piece. If the company wishes to produce
100 pieces of the component, from economic point of view it should
choose
A) Process I
B) Process II
C) Process III
D) Process
IV
Answer : (B)

3 In an interchangeable assembly, shafts of
size 25.000+0.040mm mate with holes of size 25.000+0.020 mm. The maximum
possible clearance in the assembly will be
A) 10 microns
B) 20
microns
C) 30 microns
D) 60 microns
Answer : (D)

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)

8 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)

9 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)

10 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)