Gate: Mechanical Engg, Sample Test Paper - I
· Added August 2010
Mechnical Engineering Sample Papers
1 In PERT analysis a critical activity has
A) maximum Float
B)
zero Float
C) maximum Cost
D) minimum Cost
Answer :
(B)
2 Environment friendly refrigerant R134a is used in the new
generation domestic refrigerators. Its chemical formula is
A) CH C1
F2
B) C2 C13 F3
C) C2 C12 F4
D) C2 H2 F4
Answer :
(D)
3 A solid cylinder (surface 2) is located at the centre of a
hollow sphere (surface 1). The diameter of the sphere is 1m, while the cylinder
has a diameter and length of 0.5 m each. The radiation configuration factor F11
is
A) 0.375
B) 0.625
C) 0.75
D) 1
Answer :
(C)
4 For a fluid flow through a divergent pipe of length L having
inlet and outlet radii of R1 and R2 respectively and a constant flow rate of Q,
assuming the velocity to be axial and uniform at any cross-section, the
acceleration at the exit is
A) 2Q(R1 - R2) p LR23
B) 2Q2 (R1 - R2) p
LR23
C) 2Q2 (R1 - R2) p2LR25
D) 2Q2 (R2 - R1) p2LR25
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 A maintenance service
facility has Poisson arrival rates, negative exponential service time and
operates on a 'first come first served' queue discipline. Break downs occur on
an average of 3 per day with a range of zero to eight. The maintenance crew can
service an average of 6 machines per day with a range of zero to seven. The mean
waiting time for an item to be serviced would be
A) 16 day
B) 13
day
C) 1 day
D) 3 days
Answer : (A)
11 The S-N curve
for steel becomes asymptotic nearly at
A) 103 cycles
B) 104
cycles
C) 106 cycles
D) 109 cycles
Answer : (C)
12 In
a rolling process, sheet of 25 mm thickness is rolled to 20 mm thickness. Roll
is of diameter 600 mm and it rotates at 100 rpm. The roll strip contact length
will be
A) 5 mm
B) 39 mm
C) 78mm
D) 120mm
Answer :
(A)
13 Water at 42°C is sprayed into a stream of air at
atmospheric pressure, dry bulb temperature of 40°C and a wet bulb temperature of
20°C. The air leaving the spray humidifier is not saturated. Which of the
following statements is true?
A) Air gets cooled and humidified
B) Air
gets heated and humidified
C) Air gets heated and dehumidified
D) Air gets
cooled and dehumidified
Answer : (B)
14 The angle between
two unit-magnitude coplanar vectors P(0.866, 0.500,0) and Q(0.259, 0.966,0) will
be
A) 0°
B) -30°
C) 45°
D) 60°
Answer :
(C)
15 A lot has 10% defective items. Ten items are chosen
randomly from this lot. The probability that exactly 2 of the chosen items are
defective is
A) 0.0036
B) 0.1937
C) 0.2234
D)
0.3874
Answer : (B)
1 In PERT analysis a critical activity has
A) maximum Float
B)
zero Float
C) maximum Cost
D) minimum Cost
Answer :
(B)
2 Environment friendly refrigerant R134a is used in the new
generation domestic refrigerators. Its chemical formula is
A) CH C1
F2
B) C2 C13 F3
C) C2 C12 F4
D) C2 H2 F4
Answer :
(D)
3 A solid cylinder (surface 2) is located at the centre of a
hollow sphere (surface 1). The diameter of the sphere is 1m, while the cylinder
has a diameter and length of 0.5 m each. The radiation configuration factor F11
is
A) 0.375
B) 0.625
C) 0.75
D) 1
Answer :
(C)
4 For a fluid flow through a divergent pipe of length L having
inlet and outlet radii of R1 and R2 respectively and a constant flow rate of Q,
assuming the velocity to be axial and uniform at any cross-section, the
acceleration at the exit is
A) 2Q(R1 - R2) p LR23
B) 2Q2 (R1 - R2) p
LR23
C) 2Q2 (R1 - R2) p2LR25
D) 2Q2 (R2 - R1) p2LR25
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 A maintenance service
facility has Poisson arrival rates, negative exponential service time and
operates on a 'first come first served' queue discipline. Break downs occur on
an average of 3 per day with a range of zero to eight. The maintenance crew can
service an average of 6 machines per day with a range of zero to seven. The mean
waiting time for an item to be serviced would be
A) 16 day
B) 13
day
C) 1 day
D) 3 days
Answer : (A)
11 The S-N curve
for steel becomes asymptotic nearly at
A) 103 cycles
B) 104
cycles
C) 106 cycles
D) 109 cycles
Answer : (C)
12 In
a rolling process, sheet of 25 mm thickness is rolled to 20 mm thickness. Roll
is of diameter 600 mm and it rotates at 100 rpm. The roll strip contact length
will be
A) 5 mm
B) 39 mm
C) 78mm
D) 120mm
Answer :
(A)
13 Water at 42°C is sprayed into a stream of air at
atmospheric pressure, dry bulb temperature of 40°C and a wet bulb temperature of
20°C. The air leaving the spray humidifier is not saturated. Which of the
following statements is true?
A) Air gets cooled and humidified
B) Air
gets heated and humidified
C) Air gets heated and dehumidified
D) Air gets
cooled and dehumidified
Answer : (B)
14 The angle between
two unit-magnitude coplanar vectors P(0.866, 0.500,0) and Q(0.259, 0.966,0) will
be
A) 0°
B) -30°
C) 45°
D) 60°
Answer :
(C)
15 A lot has 10% defective items. Ten items are chosen
randomly from this lot. The probability that exactly 2 of the chosen items are
defective is
A) 0.0036
B) 0.1937
C) 0.2234
D)
0.3874
Answer : (B)