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M.E. Mechanical Engineering
1. Determine the magnitude of the projection of the vector force F = 100N, onto u axis,
from the figure given below.
A) 96.6N
B) 60N
C) 100N
D) 70.7N
2. What is {(i.i) + (-i.j) + (-k.k)
k.k) + (k.i)}.(Ai +Bj + Cz)?
A) 1 B) 0 C) A + B + C D) -1
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3. Which of the following is correct in the determination of the moment direction by curling
of wrist?
A) The thumb represents the direction of the force
B) The thumb represents the direction of the moment
C) The fingers represent the direction of the force
D) The direction in which you curl your wrist is towards the direction of the distance
from point of contact of force to the axis of rotation.
4. The ultimate tensile strength of a material is 400 MPa and the elongation up to maximum
load is 35%. If the material obeys power law of hardening, then the true stress-true
stress strain
relation (stress in MPa) in the plastic deformation range is:
A) σ= 540ϵ0.30 B) σ= 775ϵ0.30 C) σ= 540ϵ0.35 775 0.35
D) σ= 775ϵ
5. The relationship between Young's modulus (E), Bulk modulus (K) and Poisson's ratio (µ)
(
is given by:
A) E = 3K(1-2µ) B) K = 3E(1
3E(1-2µ) C) E = 3K(1-µ) D) K = 3E(1-µ)
3E(1
6. An ejector mechanism consists of a helical compression spring having a spring constant
of K= 981 × 103N/m. It is pre
pre-compressed
compressed by 100 mm from its free state. If it is used to
eject a mass of 100 kg held on it, the mass will move up through a distance of
A) 100mm B) 500mm C) 981 mm D) 1000mm
7. A solid uniform metal bar of diameter D and length L is hanging vertically from its upper
end. The elongation of the bar due to self weight is:
A) Proportional to L and inversely proportional to D2
B) Proportional to L2 and inversely proportional to D2
C) Proportionall of L but independent of D
D) Proportional of U but independent of D
8. If the value of Poisson's ratio is zero, then it means that
A) The material is perfectly plastic.
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B) The material is rigid.
C) There is no longitudinal strain in the material
D) The longitudinal strain in the material is infinite.
9. A solid circular shaft of diameter 100 mm is subjected to an axial stress of 50MPa. It is
further subjected to a torque of 10 kNm. The maximum principal stress experienced on
the shaft is closest to
A) 41 MPa B) 82 MPa C) 164 MPa D) 204 MPa
w¶ w¶ w¶ w¶
10. The second moment of a circular area about the diameter is given by (D is the diameter)
c c
A) B) C) D)
11. The shapes of the bending moment diagram for a uniform cantilever beam carrying a
uniformly distributed load over its length is:
A) A straight line B) A hyperbola C) An ellipse D) A parabola
12. A solid circular shaft of 60 mm diameter transmits a torque of 1600 N.m. The value of
maximum shear stress developed is:
A) 37.72 MPa B) 47.72 MPa C) 57.72 MPa D) 67.72 MPa
13. A penstock pipe of 10m diameter carries water under a pressure head of 100 m. If the
wall thickness is 9 mm, what is the tensile stress in the pipe wall in MPa?
A) 2725 B) 545.0 C) 272.5 D) 1090
14. The number degrees of freedom of a planar linkage with 8 links and 9 simple revolute
joints is
A) 1 B) 2 C) 3 D) 4
15. The number of inversions for a slider crank mechanism is
A) 6 B) 5 C) 4 D) 3
16. The lengths of the links of a 4-bar linkage with revolute pairs only are p, q, r, and s units.
Given that p < q < r < s. Which of these links should be the fixed one, for obtaining a
"double crank" mechanism?
A) Link of length p B) link of length q C) Link of length r D) link of length s
17. 1) The degree of freedom for lower kinematic pairs is always equal to one.
2) A ball-and-socket joint has 3 degrees of freedom and is a higher kinematic pair
3) Oldham's coupling mechanism has two prismatic pairs and two revolute pairs.
Which of the statements given above is/are correct?
A) 1, 2 and 3 B) 1 only C) 2 and 3 D) 3 only
18. Maximum angular velocity of the connecting rod with a crank to connecting rod ratio 1:
for a crank speed of 3000 rpm is around:
A) 300 rad/s B) 60 rad/s C) 30 rad/s D) 3000 rad/s
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19. A fly wheel of moment of inertia 9.8 kgm2 fluctuates by 30 rpm for a fluctuation in
energy of 1936 Joules. The mean speed of the flywheel is (in rpm)
A) 600 B) 900 C) 968 D) 2940
20. For a certain engine having an average speed of 1200 rpm, a flywheel approximated as a
solid disc, is required for keeping the fluctuation of speed within 2% about the average
speed. The fluctuation of kinetic energy per cycle is found to be 2 kJ. What is the least
possible mass of the flywheel if its diameter is not to exceed 1m?
A) 40 kg B) 51 kg C) 62 kg D) 73 kg
21. When a body slides down an inclined surface, inclined at an angle β, the acceleration ‘a’
of the body is given by
A) a = g B) a = g sinβ C) a = g cosβ D) a = g tanβ
22. Longitudinal stress in a thin cylinder is
A) Equal to the hoop stress B) Twice the hoop stress
C) Half of the hoop stress D) One fourth of hoop stress
23. A boiler shell 200 cm diameter and plate thickness 1.5 cm is subjected to internal
pressure of 1.5 MN/m, then the hoop stress will be
A) 30 MN/m2 B) 50 MN/m2 C) 100 MN/m2 D) 200 MN/m2
24. The type of threads used to transmit power in one direction only is
A) Acme B) Trapezoidal C) Buttress D) V thread
25. The Coefficient of fluctuation of energy of flywheel is given a
Where Emax = Maximum Kinetic energy of the Flywheel
Emin = Minimum Kinetic energy of the Flywheel
A) (Emax - Emin)/Work done per cycle B) (Emax + Emin)/Work done per cycle
C) (Emax - Emin) x Work done per cycle D) (Emax + Emin) x Work done per cycle
26. A fixed gear having 200 teeth is in mesh with another gear having 50 teeth. The two
gears are connected by an arm. The number of turns made by the smaller gear for one
revolution of arm about the centre of bigger gear is
A) 2 B) 4 C) 3 D) None of these
27. A metric thread of pitch 2mm and thread angle 60º is inspected for its pitch diameter
using 3-wire method. The diameter of the best size wire in mm is
A) 0.86 B) 1.0 C) 1.15 D) 2.0
28. Two shafts A and B under pure torsion are of identical length and identical weight and
are made of the same material. The shaft A is solid and the shaft B is hollow. We can say
that
A) Shaft B is better than shaft A B) Shaft A is better than shaft B
C) Both the shafts are equally good D) None of the above
29. The maximum shear stress theory is used for
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A) Brittle materials B) Ductile materials
C) Plastic materials D) Non-ferrous materials
30. Soderberg relation is based on __________ of the material whereas all other failure
relation for dynamic loading are based on ultimate strength of the material
A) Elastic strength B) Yield strength C) Shear strength D) All of these
31. In grey cast iron, carbon is present in the form of
A) Cementite B) Free carbon C) Flakes D) Spheroids
32. Cyaniding is the process of
A) Dipping steel in cyanide bath
B) Reacting steel surface with cyanide salts
C) Adding carbon and nitrogen by heat treatment of steel to increase its surface hardness
D) Obtaining cyanide salts
33. Cupola produces following material
A) Cast iron B) Pig iron C) Wrought iron D) Malleable iron
34. As the shear angle increases, the plastic deformation of chip
A) Increases B) Decreases C) Remains same D) None of these
35. Cutting forces at the cutting tool can be measured by
A) A dynamometer B) A viscosity meter
C) A sine bar D) A combination set
36. The clearance angle is provided on the tools with a view to
A) Strength the tool
B) Shear off the metal
C) Facilitate easy flow of chips
D) Prevent the tool from rubbing on work piece
37. On a lathe machine, the spindle speed is lowest during
A) Taper turning B) Threading C) Parting off D) Knurling
38. In oxidizing flame, the inner core attains a temperature of …………….. °C
A) 2100 B) 2800 C) 3150 D) 3500
39. Plastic bottles are manufactured using the process of
A) Blow moulding B) Injection moulding
C) Atomizing D) Die casting
40. Using the Taylor equation VTn = c, calculate the percentage increase in tool life when the
cutting speed is reduced by 50% (n = 0.5 and c = 400)
A) 300 B) 400% C) 100% D) 50%
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41. 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
42. The process that improves the machinability of steels, but lowers the hardness and tensile
strength is
A) Normalizing B) Annealing C) Tempering D) Hardening
43. If δQ is the heat transferred to the system and δW is the work done by the system,
then which of the following is an exact differential
A) δQ B) δW C) δQ + δW D) δQ – δW
44. A pitot tube measures:
A) Static pressure
B) Dynamic pressure
C) Total pressure
D) Difference between total and dynamic pressure
45. The inlet value of a four stroke cycle I.C engine remains open for nearly
A) 180° B) 125° C) 235° D) 200°
46. Which instrument is used for surface roughness measurement
A) Clinometer B) Auto-collimeter C) Optical square D) Profilometer
47. The meaning of 'Payoffs' in Game Theory is
A) Outcome of a game when different alternatives are adopted by players
B) No. of players involved in a game
C) Value of a game
D) Strategies used by players
48. The North West Corner rule
A) Is used to find an initial feasible solution
B) Is used to find an optimal solution
C) Is based on the concept of minimizing opportunity cost
D) None of these
49. In a process chart, the square symbol represents
A) Transport B) Inspection D) Action D) Delay
50. A negative loop in the P.V diagram of an I.C engine is due to
A) Pre ignition in the engine B) Suction of air for engine
C) Pre opening of the exhaust valve D) High pressure in the cylinder
51. A 1 ton capacity water cooler cools water steadily from 35°C to 20°C. The specific heat
of water is 4.18 KJ/kg-K. The water flow rate will be nearly.
A) 13.33 litre/hr B) 33.3 litre/hr C) 200 litre/hr D) 250 litre/hr
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52. Which of the following is a non positive displacement type of compressor
A) Reciprocating compressor B) Centrifugal compressor
C) Root blower D) Vane type compressor
53. The maximum possible draft in cold rolling of sheet increases with the
A) Increase in coefficient of friction B) Decrease in coefficient of friction
C) Decrease in roll radius D) Increase in roll velocity
54. Streamlines, path lines and streak lines are virtually identical for
A) Uniform flow B) Flow for ideal fluids
C) Steady flow D) Non uniform flow
55. Eutectic reaction for iron- carbon system occurs at
A) 600 0C B) 7230C C) 11470C D) 14900C
56. The crystal structure of α iron is
A) Simple Cubic B) Face centered cubic
C) Body centered cubic D) Close packed hexagonal
57. To show the internal parts of machine components, the section lines are drawn at angle of
A) 450 B) 00 C) 600 D) 900
58. Which of the following statements are FALSE about the buoyancy of an object
A) The force of buoyancy on a ship is equal to the weight of the water displaced by the
ship and its cargo.
B) Buoyancy explains why it is easier to lift an object in water than it is in air.
C) An object only has buoyancy in air.
D) An object only has buoyancy in liquids.
59. Cavitations in centrifugal pumps can be reduced by
A) Reducing the discharge B) Reducing the suction head
C) Throttling the discharge D) Increasing the flow velocity
60. The Weber number in dimensionless system is expressed as
V V σV
A) σ / ρL B) σ ρL C) ρL D) σ / ρL
V ,
Where σ is surface tension per unit length.
61. The heat is absorbed by
A) Condenser B) Evaporator C) Compressor D) Thermostat
62. Work study includes
A) Method study B) Motion study C) Time study D) All of these
63. At breakeven point
A) Fixed costs are recovered B) Variable costs are recovered
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C) Total costs are recovered D) Some costs are recovered
64. The word kanban is most appropriately associated with
A) Economic order quantity B) Just–in–time production
C) Capacity planning D) Product design
65. A linear programming problem is shown below:
Maximize 3x +7y
Subject to
3x +7y ≤10
4x+6y≤ 8
x, y ≥0
It has
A) An unbounded objective function
B) Exactly one optimal solution
C) Exactly two optimal solutions
D) Infinitely many optimal solutions
66. The following is used to check the diameters of holes
A) Plug gauge
B) Ring gauge
C) Slip gauge
D) Standard screw pitch gauge
67. Which quality management program is related to the maintenance of plants and
equipments
A) Environmental management systems B) Fault tree analysis
C) Failure mode effect analysis D) Total productive maintenance
68. Which of the following is true for interference fit
A) Shaft is always smaller than the hole
B) Shaft is always bigger than the hole
C) Interference fits have shaft and hole of same dimension
D) None of the above
69. Which of the following is not a rule of network construction
A) Each defined activity is represented by one and only one arrow
B) A network should have only initial and one terminal node
C) Identical initial and final nodes can identify two activities
D) Only as few dummy activities should be included as is warranted.
70. Calculate the power required for machining of a workpiece on lathe having efficiency of
85% on full load, when tangential force required is 1200 N and cutting speed 195 m/min
A) 4.59 Kw B) 275.29 W C) 3.315 kW D) 8.145kW
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71. Investment casting is used for
A) Shapes which are made by difficulty using complex patterns in sand casting
B) Mass production
C) Shapes which are very complex and intricate and can’t be cast by any other method
D) There is nothing like investment casting
72. In which of the following methods, an electrolyte is used?
A) Ultrasonic Machining B) Electrochemical Machining
C) Abrasive Jet Machining D) Laser Beam Machining
73. In Ultrasonic machining, the material is removed by
A) Anodic dissolution B) Thermal melting
C) Abrasive action D) Electrochemical oxidation
74. The values of enthalpy of steam at the inlet and outlet of a steam turbine in a Rankine
cycle are 2800kJ/kg and 1800kJ/kg respectively. Neglecting pump work, the specific
steam consumption in kg/kW-hour is
A) 3.60 B) 0.36 C) 0.06 D) 0.01
75. The ratios of the laminar hydrodynamic boundary layer thickness to thermal boundary
layer thickness of flows of two fluids P and Q on a flat plate are ½ and 2 respectively.
The Reynolds number based on the plate length for both the flows is 104. The Prandtl
and Nusselt numbers for P are 1/8 and 35 respectively. The Prandtl and Nusselt numbers
for Q are respectively
A) 8 and 140 B) 8 and 70 C) 4 and 70 D) 4 and 35
x-x-x