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UKPSC AE 2013: Uttarakhand Assistant Engineer (AE) Exam, AE Mechanical Engineering (Paper-I)

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Mechanical Engineering (Paper-I)


1.   Which one of the following is closest to the purest form of iron?
     (a)     Cast iron                              (b)     Wrought iron
     (c)     Grey cast iron                         (d)     Mild steel


2.   Addition of magnesium to cast iron increases its:-
     (a)     Hardness                               (b)     Corrosion resistance
     (c)     Creep resistance                       (d)     Ductility


3.   Which one of the following cannot be recycled?
     (a)     Thermoplastics                         (b)    Themiosets
     (c)     Elastomers                             (d) Polymers


4.   Th'e most suitable manufacturing process for machining a turbine blade made of nimonic
     alloy is:-
     (a)     Milling and lapping                    (b)     Electric discharge machining
     (c)     Ultrasonic machining                   (d)     Electro-chemical machining


5.   Strain in direction at right angle to the direction of applied force is known as:-
     (a)     Lateral strain                         (b)     Shear strain
     (c)     Volumetric strain                      (d)    None of the above


6.   If the diameter of the hole is subjected to considerable variation, for locating in jigs and
     fixtures, the pressure type locator used is: -
     (a)     Conical locator                        (b)  Diamond pin locator
     (c)     Vee-locator                            (d)     Cylindrical locator


7.   Inter electrode gap in electro-chemical grinding is controlled by controlling the:-
     (a)     Pressure of electrolyte flow           (b)     Applied static load
     (c)     Size of abrasives in the wheel         (d)     Texture of the workpiece


8.   Pneumatic comparators work on following theory:-
     (a)     Newton's theory                        (b)     Bernouli's theory
     (c)     Pascal's theory                        (d)     Legendrcs theory


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9.       In machining processes, the percentage of heat generated in shear action is carried away by
         the chips to the extent of:-
         (a) 10%                                         (b)   25%
         (c)     50%                                     (d) 90%

10.      For a two dimensional stress system. the coordinates of the centre of Mohr circles are?

                 Q   —                                              r +r
                            0                            (b)   0,
                     2                                                2

                 c +y
                  x   y                                        O°Y
                        ,0                               (d)
                    2


11.      Which of the following is not a limitation for ECM process:-
      (a)       Very expensive
      (b)       Sharp corners are difficult to produce
      (c)       Surface finish is not good
      (d)       Use of corrosive media as e1ctro1yte makes it difficult to handle


12.   The rate of work material removal in USM operation is proportional to the:-
      (a)       Volume of work material removed per impact
      (b)       Number of particles making impact per cycle
      (c)       Frequency of vibration
      (d)       All of the above


13.   Which of the following is not the assumption in Merchant's theory :-
      (a)       Tool is perfectly sharp
      (b)       Shear is occurring on a plane
      (c)       Uncut chip thickness is constant
      (d)       A continuous chip with built up edge (BUE) is produced


14.   Which technique is utilized to find percent idle time for man or machine?
      (a)       Work sampling                         (b)      Time study
      (c)       Method study                          (d)      ABC analysis


15.   In Electro-chemical machining material removal is due to:-
      (a) Corrosion                                   (b) Erosion
      (c)       Fusion                                (d)      Ion displacement

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16.   In simplex method of linear programming the objective row of the niatrix consists of:-
      (a)    Names of the variables             (b)     Coefficient of the objective function
      (c)    Slack variables                         (d)    None of the above


17.   Which one of the following type of layout is used for the manufacturing of large aircrafts?
      (a)    Product layout                          (b)    Process layout
      (c)    Fixed position layout                   (d)    Combination layout


18.   Which of the following operations does not use ajig?
      (a)   Turning                              (b)     Drilling
      (c) Reaming                                (d) Tapping

19.   The quality of machined surface depends on:-
      (a)    The material of the workpiece       (b)        Rigidity of machine work-tool system
      (c)    Cutting conditions                      (d)    All of the above


20.   The tool life of a cutting tool mainly depends on:-
      (a)    Cutting speed                          (b)     Tool geometry
      (c)    Ambient temperature                     (d)    None of the above


21.   Use ofjigs and fixtures leads to:-
      (a)    High operational cost                   (b)    High maintenance cost
      (c)    High Initial cost                       (d)    High manufacturing cost


22.   For the two shafts connected in parallel, which of the following in each shaft is same?
      (a)     Torque                               (b)     Shear stress
      (c)     Angle of twist                       (d)     Torsional stiffness

23.   Lee and Shaffer equation showing relationship between rake angle (a), shear angle (q) and
      friction angle (fi) is expressed as:-
                        a                                        ,r
      (a)     Ø= -..fl+ --                           (b)    Ø   -4- +fl -a

                                                                             a
      (c)                                            (d)    Ø=+fi -


24.   Metal in electro-chemical machining process is removed by:-
      (a)     Migration of ions towards the tool
      (b)     Ionization and shearing
      (c)     Chemical action and abrasion
    (d)       Chemical etching
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25.   In an orthogonal cutting operation, the chip thickness and the uncut thickness are equal 0.45mm
      each, If the tool rake angle is 00, the shear plane angle is :-
      (a)     18°                                      (b)   30°
      (c)     450                                      (d)   60°


26.   In a single point turning operation Taylor's exponent is 0.25. If the cutting speed is halved
      then the tool life will become:-
      (a)     Half                                     (b)   Two times
      (c)     Eight times                              (d)   Sixteen times


27.   Standardization deals with the characteristics of product that include:-
      (a)     Its dimensions
      (b)     Method of testing the product
      (c)     Composition and properties of its material
      (d)     All of the above


28.   The critical speed of a shaft is affected by its:-.
      1.      Eccentricity
      2.      Span
      3.      Diameter
      Which of the above are correct?


      (a)     I and 2                                  (b)   land3
      (c)     2and3                                    (d)   I..2and3


29.   Whirling speed of a shaft coincides with the natural frequency of its:-
      (a)     Longitudinal vibration                   (b)   Transverse vibration
      (c)     Torsional vibration                      (d)   Coupled bending torsional vibration


30.   Experts of same rank assemble fcr product development in:-
      (a)     Delphi technique                         (b)   Brain storming
      (c)     Direct expert comparison                 (d)   Morphological analysis


31.   A production line is said to be balanced, if at each station:-
      (a)     There is equal number of machine (b)           There is equal number of operators
      (c)     Waiting time for service is same         (d)   Operation time is same
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32.   When ordering cost is increased to 16 times, the EOQ will be increased to:-
      (a)    2 times                                  (b)   4 times
      (c)    8 times                                  (d)   None of the above


33.   Manufacturer's risk is the probability of:-
      (a)    Rejecting a good lot which otherwise would have been accepted
      (b)    Defective batch being accepted which otherwise would have been rejected
      (c)    Bad components in a lot
      (d)    None of the above


34.   Term "Value" in value engineering refers to :-
      (a)    Total cost of the product                (b)   Selling price of the product
      (c)    Utility of the product                   (d)   Manufacturing cost of the product


35.   Which one of the following shows the percentage of the area in normal distribution curve for
      ± 2 a limits?
      (a)• 99.73 %                                    (b)   95.45 %
      (c)    68.26 %                                  (d)   None of the above


36.   In sampling, AQL stands for:-
      (a)    Average quality level                    (b)   Acceptable quality level
      (c)    Asymmetric quality level                 (d)   Available quality level


37.   There are 'm' rows and 'n' columns in a transportation problem. Degeneracy will occur if the
      number of allocations are:-
      (a)     Less than (m + n-I)                     (b)   Greater than (m + n -1)
      (c)     Equal to (m + n -1)                     (d)   Less than (m - n -1)


38.   C-chart is based on one of the following:-
      (a)     Number of defects per unit of a product
      (b)     Fraction defectives in the sample
      (c)     Number of defectives in the sample
      (d)     None of the above


39.   TQM is related to:-
      (a)     Quality control                         (b)   Control chart
     (c)      Sampling                                (d)   Work study
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40.     The point of contraflexure occurs in:-
         (a)    Cantiliver beams                          (b)       Simply supported beams
         (c)    Overhanging beams                         (d)       Fixed beams


 41.     In High velocity forming, the forming speed is greater than:-
         (a) 3mls                                         (b) 5mls
         (c)        8 rn/s                                (d)       15 rn/s


 42.     Which control chart is used to measure variability of 'Variability with in the sample':-
         (a)          chart                               (b)   c chart
         (c)     u chart                                  (d)       cr chart


43.      If the demand for an item is doubled and the ordering cost is halved, the economic order
         quantity for the item will be :-
         (a)    A half of the earlier quantity           (b)    Double of the earlier quantity
         (c)    Increased by a factor of                 (d)    Will remain unchanged


44.      An industry produces 300 spark plugs in one shift of 8 hours. If standard time per piece is 1.5
         minute, the productivity would be:-
         (a)    3/4                                      (b)    5/8
         (c)    7/16                                     (d)    15/16


45.      If 'm' is the number of constraints in a linear programming problem with two variables 'x'
         and 'y' and non-negativity constraints x & yO. The feasible region in the graphical solution
         will be surrounded by:-
       (a)      mImes                                    (b)    m+1 lines
       (c)      m+2 lines                                (d)    m+4 lines


46.    Effect of stockout of a commodity is:-
       (a)      Loss of profit                           (b)    Loss of customers
       (c)      Loss of goodwill                         (d)    All of the above


47.    The annual demand for an item is 3200 parts. Unit cost is Rs. 6 and the inventory carrying
       charges are estimated as 25% per annum. If the cost of one procurement is Rs. 150, what will
       be the number of orders per year?
       (a)      4                                        (b)    6
       (c)      8                                        (d)    10
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48.      In queuing theory, the ratio of mean arrival rate and the mean service rate is termed as:-
         (a)    Work factor                            (b)     Utilization factor
         (c)     Slack constant                         (d)        Production rate


49.      If in graphical solution of linear programming problem, the objective function line is parallel
         to the line representing constraint equation, then the solution of problem is:-
         (a)     Infeasible solution                    (b)        Unbound solution
         (c)     Multiple optimum solution              (d)        None of the above


50.      Low helix angle drills are used for drilling holes in:-
         (a)    Plastics                                (b)        Copper
         (c)    Cast steel                              (d)        Carbon steel


51.   In a queuing problem, if the arrivals are completely random then the probability distribution
      of number of arrivals in a given time follows:-
      (a)       Normal distribution                     (b)        Poisson distribution
      (c)       Binomial distribution                   (d)        Exponential distribution


52.   In ABC analysis of inventories, 'A' items usually constitute:-
      (a) 10%                                           (b) 20%
      (c) 30%                                           (d) 70%


53.   Increase in economic order quantity results in:-
      (a)       Increase in inventory carrying cost
      (b)       Decrease in ordering cost
      (c)       Decrease in total cost
      (d)       Total cost first decreases and then increases


54.   In ABC analysis items are classified in three categories namely A, B, and C in accordance
      with their:-
      (a) Values                                       (b) Number
      (c)  Characteristics                             (d)  Priorities


55.   Control limits of a X chart are:-
      (a)       X±a                                             X ± 2cT
      (c)       X ± 3a                                          X ± 6q..


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56.      Following is not a method of solving a transportation problem:-
      (a)       Northwest corner method                  (b)    Least cost method
      (c)       Vogel's approximation method             (d)    Dynamic method


57.      If work station times are not same, the overall production rate of an assembly line is determined
         by the:-
      (a)       Fastest station time
      (b)       Slowest station time
      (c)       Averae of all station times
      (d)       Average of slowest and fastest station times


58.   Which one of the following is not the control chart for attributes:-
      (a)       p chart                                  (b)    c chart
      (c)       R chart                                  (d)       chart


59.   At breakeven point:-
      (a)       Sales revenue > total cost               (b)    Sales revenue = total cost
      (c)       Sales revenue <total cost                (d)    None of the above


60.   In operating characteristics curve, abscissa (x-axis) represents:-
      (a)       Number of defectives                     (b)    Percentage defectives
      (c)       Sample number                            (d)    Probability of acceptance

61.   For a vibrating system with viscous damping, the characteristics equation is given as: -
               M +c +kx=O
      If the roots of the characteristics equation are real and equal, the system is:-
      (a)      Over damped                            (b)     Critically damped
      (c)      Underdamped                            (d)     Cannot be predicted

62.   For isotropic materials, shear and elastic moduli are related to each other and to Poissons
      ratio according to:-
      (a) E=G(1+2v)                                (b) E2G(l+v)
      (c)     E = G (2+ v)                         (d)    E= v (2+G)

63.   A body is having a simple harmonic motion. Product of its frequency and time period is equal
      to:-
      (a) Zero                                    (b) One
      (c)   Infinity                              (d)    0.5


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64.   The shear stress at the centre of a circular shaft under torsion is:-
      (a) Maximum                                       (b)   Minimum
      (c) Zero                                          (d) Unpredictable


65.   The resultant deflection of a beam under unsymmetrical bending is:-
      (a)     Parallel to the neutral axis              (b)   Perpendicular to the neutral axis
      (c)     Parallel to the axis of symmetry          (d)   Perpendicular to the axis of symmetry


66.   Euler's formula holds good for:-
      (a)     Short columns only
      (b)     Long columns only
      (c)     Both long and short columns
      (d)     Weak columns


67.   In a beam when shear force changes sign, the bending moment will be:-
      (a) Zero                                          (b) Maximum
      (c)     Minimum                                   (d)   Infinity


68.   The point of contraflexure occurs in:-
      (a)     Cantilever beams                          (b)   Simply supported beams
      (c)     Overhanging beams                         (d)   Fixed beams


69.   In thick cylinder, the radial stresses in the wall thickness:-
      (a)     is zero
      (b)     negligible small
      (c)     varies from the inner face to outer face
      (d)     None of the above


70.   A solid circular shaft is subjected to a maximum shear stress of 140MPa. Magnitude of
      maximum normal stress developed in the shaft is:-
      (a)     60 MPa                                    (b)   9OMPa
      (c)     110 MPa                                   (d)   140 MPa


71.   A hollow shaft has external and internal diameters of 10cm and 5cm respectively. Torsional
      section modulus of shaft is:-
      (a)     375 cm3                                   (b)   275 cm3

      (c)     184 cm3                                   (d)   84 cm3

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72.      Two cars 'A' and 'B' move at l5mls in the same direction. Car 'B' is 300m ahead of car 'A'.
         If car 'A' accelerate at 6m1s2 while car 'B' continues to move with the same velocity, car 'A'
         will overtake car 'B' after:-
         (a)      7.5s                                   (b)     lOs
         (c)      12s                                    (d)    15s

73.   Two balls are dropped from a common point after an interval of I second. If acceleration due
      to gravity is 1 Omls2, separation distance 3 second after the release of the first ball will be:-
      (a) 5m                                          (b) 15m
      (c)     25m                                     (d) 30m

74.   A ball of 2kg drops vertically onto the floor with a velocity of 20m1s. It rebounds with an
      initial velocity of l0mls, impulse acting on the ball during contact will be:-
      (a)      20 N•s                                (b)     40 N•s
      (c)       60 N•s                                   (d)   30 Ns

75.   Kinetic energy of a solid cylinder of mass 'm', radius 'r' and angular velocity w is:-
                 1                                             1       2
      (a)            - mr U) 2                           (b)   — mr
                                                               3
                1
      (c)       i-mr22                                 (d)     mr22
                                                                  c


76.   Impulse is:-
      (a)    Minimum momentum                          (b) Maximum momentum
      (c).   Average momentum                          (d)   Final momentum - Initial momentum

77.   A cable with uniformly distributed load per horizontal metre run will take the following
      shape:-
      (a)     Straight line                      (b)    Parabola
      (c)     Ellipse                            (d)    Hyperbola

78.   Mohr's circle may be used to determine following stress on an inclined plane:-
      (a)   Normal stress                         (b)    Principal stress
      (c)   Tangential stress                     (d)    All of the above

79.   State of plane stress at a point is described by
                 and          0
      The normal stress on a plane inclined at 45° to the horizontal is:-
      (a).      27                                     (b) -ña
      (c)       .jcr                                   (d)     o


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80.      If load at the free end of the cantilever beam is gradually increased, failure will occur at:-
         (a)    In the middle of beam                   (b)     At the fixed end
         (c)    Anywhere on the span                    (d)     None of the above


81.      Kinematic pair constituted by cam and follower mechanism is:-
         (a)    Higher and open type                    (b)     Lower and open type
         (c)    Lower and closed type                   (d)     Higher and closed type


82.      If the diameter of a long column is reduced by 20 percent, the reduction in Euler buckling
         load in percentage is nearly:-
      (a) 4                                             (b) 36
      (c)       49                                      (d)     59


83.   Ultrasonic machining is best suited for:-
      (a)       Amorphous material                      (b)    Brittle material
      (c)       Non ferrous material                    (d)    All of the above


84.   Acolunm of length 1' is fixed at both the ends. The equivalent length of the column is:-
      (a)       2/                                      (b)    0.5 1
      (c)       4!                                      (d)    1


85.   The Coriolis component of acceleration acts:-
      (a)       Along the sliding surface               (b)    Perpendicular to the sliding surface
      (c)       At 45° to the sliding surface           (d)    None of the above


86.   A slider on a link rotating with angular velocity ' ' have linear velocity' v' The magnitude
      of Coriolis component of acceleration is:-
      (a)       vw                                      (b)    2vo
                                                               VO)
                                                        (d)
                                                                   2


87.   Coriolis component of acceleration exists whenever a point moves along a path that has:-
      (a)    Tangential acceleration              (b)    Centripetal acceleration
      (c)       Linear motion                           (d)    Rotational motion


88.   When the applied force is less than the limiting frictional force, the body will:-
      (a)       Start moving                            (b)    Remain at rest
      (c)       Slide backward                          (d)    Skid

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89.   Critical speed of a shaft depends on:-
      (a)    Diameter of disc                         (b)   Length of shaft
      (c)    Eccentricity                             (d)   All of the above


90.   Which of the following equilibriumequation should be satisfied by the joints in truss:-
      (a)       H=0jM=0                               (b)   EH=:O,V=O
      (c)     EV=O,M=0                                (d)      H=O,>V=OandM=0


91.   When the number of members 'n' in a truss is more than 2j-3, where 'j' is the number of
      joints, the frame is said to be:-
      (a)    Perfect truss                            (b)   Imperfect truss
      (c)    Deflcient truss                          (d)   Redundant truss


92.   Turning a key into the lock is a case of:-
      (a)    Coplaner forces                          (b)   Non-coplaner forces
      (c) Couplc                                      (d) Moment


93.   When a wire is stretched to double its original length, the longitudinal strain produced in it
      is:-
      (a)   0.5                                    (b)     1.0
      (c)     1.5                                     (d)   2.0


94.   The electrolyte used in ECM process is:-
      (a)    Transformer oil                          (b)   White spirit
      (c)    Aqueous solution of common salt (d)            None of the above


95.   According to law of transmissibility of forces, effect of force acting on the body is:-
      (a)    Different at different points of the body
      (b)     Minimum when it acts at centre of gravity of the body
      (c)     Maximum when it acts at centre of gravity of the body
      (d)    Same at every point in its line of action


96.   Maximum shear stress in a Mohr's circle is:-
      (a)     Equal to the radius of Mohr's circle
      (b)     Greater than the radius of Mohr's circle

      (c)     ,j times the radius of Mohr's circle
      (d)     Could be any of the above


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97.    The ratio of the compressive critical load for a long column fixed at both the ends and a
       column with one end fixed and the other end being free is:-
       (a)    2:1                                   (b)     4:1
       (c)    8:1                                   (d)     16:1


98.    Elongation of bar under its own weight as compared to that when the bar is subjected to a
       direct axial load equal to its own weight will be:-
       (a)    The same                              (b)     One fourth
       (c)    A half                                (d)     Double


99.    A simply supported beam of length '1' has uniformly distributed load 'w' kilogram acting per
       unit length. Bending moment at mid span is:-

                                                             w12
       (a)                                          (b)


               w12
       (c)                                          (d)     None of the above
                2


100.   Uniformly distributed load 'w' act over per unit length of a cantilever beam of 3m length. If
       the shear force at the midpoint of beam is 6kN, what is the value of 'w' :-
       (a)    2 kN/m                                (b)     3 kN/m
       (c)    4 kN/m                                (d)     5 kN/m


101. Elastic constants E, G and K are related by the expression:-
                  GK                                        2GK
       (a)                                          (b) E= 2K+G
              E= 2K+G

                 3GK                                        9GK
       (c)                                          (d) E— 3K+G
              E— K+2G


102.   A material has elastic modulus of 120 GPa and shear modulus of 50 GPa. Poisson's ratio for
       the material is:-
       (a)    0.1                                  (b)    0.2
       (c)    0.3                                   (d)     0.33


103.   A simply supported beam of length '1' carries a point load 'W' at the midspan. Deflection in
       beam at the centre will be:-

               wi3                                           wi3
       (a)
               3E1                                           8E1


               wi3                                            5 WI 3
       (c)
               48E1                                         384 El

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104. An object falls from the top of a tower. If comes down half the height in 2 seconds. Time
     taken by the object to reach the ground is:-
       (a)     2.8s                                    (b)    3.2s
       (c)     4.Os                                    (d)    4.5s


105. A body moving with a velocity of 1 m/s has kinetic energy of 1.5 Joules. Mass of the body is:-
       (a)     0.75 kg                                 (b)    1.5kg
       (c)     3.0 kg                                  (d)    30kg


106. A particle is projected at such an angle with the horizontal that the maximum height attained
     by the particle is one-fourth of the horizontal range. The angle of projection should be:-
       (a)     30°                                     (b)    45°
       (c)     60°                                     (d)    75°


107. A bullet of 0.03 kg mass moving with a speed of 400 m/s penetrates 12cm into a block of
     wood. Force exerted by the wood block on the bullet is:-
       (a) 10kN                                        (b) 20kN
       (c)     25 kN                                   (d)    30kN


108. A block resting on an inclined plane begins to slide down the plane when the angle of inclination
     is gradually increased to 30°. The coefficient of friction between the block and the plane is:-
       (a)     0.50                                    (b)   0.578
       (c)     0.72                                    (d)   0.866


109.   The shearing area of a key of length '1', breadth 'b' and depth 'd' is equal to:-
       (a) bxd                                         (b) lxd

       (c)     lxb



110. The gear train usually employed in clocks is a:-
       (a)     Reverted gear train                     (b)   Simple gear train
       (c)     Sun and planet gear                     (d)   differential gear


ill. Universal joint is an example of:-
       (a)     Lower pair                              (b)   Higher pair
       (c)     Rolling pair                            (d)   Sliding pair

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112. The outer circle of spur gear is called as:-
       (a)     Pitch circle                           (b)   Addendum circle
       (c)     Dedendum circle                        (d)   Base circle


113. Axes of a pair of spur gears are 200 mm apart. The gear ratio is 3:1 and number of teeth on
      pinion is 20. The module of the gear is:-
       (a)     4 mm                                   (b)   5 mm
       (c) 8mm                                        (d) 10mm


114. In a flat belt drive, slip between the driver and belt is 1% and that between belt and follower
       is 3%. If the pulley diameters are same, the velocity ratio of the drive is:-
       (a)    0.99                                    (b)   0.98
       (c)    0.97                                    (d)   0.96


115. In case of a flywheel, maximum fluctuation in energy is:-
       (a)    Sum of maximum and minimum energies
       (b)     Difference of maximum and minimum energies
       (c)    Ratio of maximum and minimum energies
       (d)     Ratio of minimum and maximum energies


116. Which pair of gears usually has higher frictional losses :-
       (a)    Spur gears                              (b)   Helical gears
       (c)     Bevel gears                            (d)   Worm and worm wheel


117. Average tensions on the tight side and slack side of a flat belt drive are 700 N and 400 N
      respectively. If linear velocity of the belt is 5mls, the power transmitted will be:-
       (a) 1.5kW                                      (b) 2.5kW
       (c) 2.8kW                                      (d) 3.0kW


118. Which one of the following in-line engine working on a four stroke cycle is completely
      balanced inherently?
       (a)    2 cylinder engine                       (b)   3 cylinder engine
       (c)     4 cylinder engine                      (d)   6 cylinder engine


119. If Hartnell governor uses a spring of greater stiffness, it will become:-
       (a)     Less sensitive                         (b)   More sensitive
       (c)     Remain unaffected                      (d)   Isochronous


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120. A disc clutch has n1 discs on driving shaft and n2 discs on driven shaft. Number of pairs of
       contact surfaces will be:-
         (a)    n1+n2                                  (b)   n1 +n2+l
         (c)    n1 + n2-1                              (d)   n1 - n2


  121. A spring controlled governor is found unstable. It may be made stable by:-
         (a)    Increasing spring stifihess            (b)   Decreasing spring stiffness
         (c)    Increasing ball weight                 (d)   Decreasing ball weight


• 122. Centre distance between two involute teeth gears of base radii R and rand pressure angle 0,
         is expressed by:-
         (a)    (R + r) Sin                            (b)   (R + r) Cos

                 R+r                                         R+r
         (c)                                           (d)   Cos q5
                 Sin 0


  123. An engine running at 150 r.p.m. drives a shaft with belt arrangement. If diameter of engine
       pulley is 55 cm and shaft pulley 33 cm, find the speed of shaft:-
         (a)    100 r.p.m.                             (b)   150 r.p.m.
         (c)    200 r.p.m.                             (d)   250 r.p.m.


  124.   In EDM process the tool and workpiece are separated by:-
         (a)    Electrolyte                            (b)   A metal conductor
         (c)    Dielectric fluid                       (d)   None of the above


  125. The equivalent bending moment under combined action of bending moment 'M' and torque
       'T' is :-

         (a)        ,I 2 + T2                                IM2 +T2
                                                             2


         (c)                                                 -(M + /M2 + T2 )
                 M~M2 + T2


  126. Lewis equation in gears is used to find the:-
         (a)     Bending stress                        (b)   Tensile stress
         (c)     Centrifugal stress                    (d)   Fatigue stress


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127. A spring mass system shown in Figure is actuated by a load P = 0.75 sin2t. If mass of the
                                                         N
        block is 0.25 kg and stiffness of the spring is 4—, displacement of the block will be:-




                               P=0.75 Sin2t
                                   Figure

        (a)    0.25                                     (b)    0.5
        (c)    1.0                                      (d)    2.25


128. Dimensional fonnula ML 2 T represents:-
        (a) Work                                        (b) Force
        (c) Momentum                                    (d) Power


129. A framed structure is said to be perfect if the following correlation is met between the number
     of joints 'j' and the number of the members 'm':-
     (a) m=2j-3                                       (b) m3j-3
     (c) m2j-1                                        (d) mj-2


                                                                      U)
 130.   If ratio of excitation and natural frequency of vibration          =   ; the transmissibility of

        vibration will be :-
        (a)     0.5                                     (b)    1.0
        (c)     1.5                                     (d)    2.0


 131.   Which one of the following is the preferred mode of transmission of power from one shaft to
        another when distance between the shafts is relatively small:-
        (a) Gears                                    (b) Belts
        (c) Ropes                                    (d) Chains

 132. If there is a gradual reduction in amplitude of vibration with time, the body is said to be in:-
         (a)     Free vibration                       (b)     Forced vibration
         (c)     Damped vibration                     (d)     Undamped vibration


 133. Porter governor is a:-
      (a)     Pendulum type governor                     (b)    Dead weight type governor
      (c)     Spring loaded governor                     (d)    Inertia type governor

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134.    Sensitivity of an isochronous governor is:-
         (a) Zero                                       (b) One
         (c)     Two                                    (d)     Infinity


135.     Velocity of the belt for maximum power transmission by the belt and pulley arrangement is:-

                                                                  IT
                                                                  / max
                      3m                                         \f 4m

                  IT                                                IT
                  Ima,                                             / max
                 V5m                                             V ni


136.     Which type of gears are used in connecting two coplaner and intersecting shafts?
         (a)     Spur gear                              (b)     Bevel gear
         (c)     Helical gear                           (d)     Worm and worm wheel


137.     Which one of the following does not require a flywheel?
         (a)     Steam engine                           (b)     Engine driven press
         (c)    CI engine                               (d)     Gas turbine


138.     If' p' is the actual coefficient of friction in a belt moving in grooved pulley and groove angle
         is 2 a. The virtual coefficient of friction will be:-

                   p
         (a)                                             1..
                                                        (u)
                 sina                                           cosa
         (c)     p sin a                                (d)     P CoS a

139. Magnification factor for a single degree of freedom vibration is expressed by:-
                  X               1                              x_                 1
        (a)                                             (b)
                       — ij( 1 r )2 + (2Cr)2                                /(l + r)2 + (2Cr)2

                 X           1                                  X
                                                                    St.—
        (c)      X                                      (d)      x
                   St —                                                    .J(1 —r) —(2Cr)2

140.    Primary unbalanced force due to inertia of reciprocating parts in a reciprocating engine is
        given by:-
        (a)     mri, 2 sinO                             (b)    m      2 rcosO

                  2 (sin29                                      mco2r(C052J
        (c)     ma ri                                   (d)


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141. The mathematical technique for finding the best use of limited resources in an optimum
     manner is called:-
     (a)   Linear programming                  (b)     Network analysis
     (c)   Queueing theory                     (d)     None of the above

142.   For a speed reduction of 50: 1, which gear arrangement will be used?
       (a)    Spur gears                           (b)    Bevel gears
       (c)     Worm and worm wheel                 (d)    Herringbone gears

143.   For a 200 full depth involute gear teeth system, minimum number of teeth on a pinion is:-
       (a)     12                                    (b)    14
       (c)    16                                     (d)    18

144. In a spring mass system if one spring of same stiffness is added in series, new frequency of
     vibration will be:-

       (a)                                             (b)


       (c)     -k(O                                    (d)
                                                               (on


145.   During the dwell period of the cam, the follower:-
       (a)    Remains at rest                       (b)   Moves in a straight line
       (c)    Moves with uniform speed              (d)   Does simple harmonic motion

146.   Which one of the following correctively expresses the sensitivity of a governor?

                                                               N1—N2
               2N1 N2                                  (b)     2N1 N2

               2(N1 +N 2 )                                     2(N1 —N2 )
                  N1 N,                                (d)       N1 +N2


147.   Which one of the following is electrically most conductive?
       (a) Copper                                   (b) Silver
       (c) Aluminium                                (d) Gold

148.   A relatively large plate of glass is subjected to a tensile stress of 40 MPa. If specific surface
       energy and Elastic modulus for glass are 0.3 JIm2 and 69 GPa, respectively, the maximum
       length of a surface crack that is possible without fracture is:-
       (a)     4.1 pm                                  (b)     8.2 pm
       (c)    41 pm                                    (d)    82pm

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149.   In the graphical method of linear programming problem the optimum solution would lie in
       the feasible polygon at:-
       (a)    Its one corner                          (b)    Its center
       (c)    The middle of any side                  (d)    None of the above


150.   Coordination number for FCC crystal structure is:-
       (a)    4                                       (b)    6
       (c)    8                                       (d)    12


151.   Atomic packing factor for unit cell of HCP crystal structure is:-
       (a)    0.68                                    (b)    0.52
       (c)    0.74                                    (d)    0.82


152.   Relationship between atomic radius R and unit cell length 'a' for BCC crystal structure is:-

                     4R
       (a)     a=                                     (b)     a=2RJE

                     2R
       (c)     a=                                     (d)
                       I-,
                     -'I-,                                    a=3RJ


153.   Which statement is not true in case of martensite?
       (a)    Crystal structure is BCC
       (b)    Transformation does not involve diffusion
       (c)    Grains are plate like or needle like in appearance
       (d)    It is a non-equilibrium phase


154.   Which of the following statements is not true for diamond?
       (a)    It is hardest known material            (b)    Diamond is non-metallic
       (c)    It has high thermal conductivity        (d)    It has a very high electrical conductivity


155. Which one of the following has the highest value of specific stiffness?
       (a) Steel                                      (b) Aluminium
       (c)    Fibre glass                             (d)    Carbon fibre composite


156.   If a material expands freely due to heating, it will develop:-
       (a)    Thermal stresses                        (b)    Tensile stresses
       (c)    Compressive stresses                    (d)    No stresses

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157. Crystal lattice structure for mild steel is:-
     (a)    Single cubic                               (b)  BCC
     (c) FCC                                           (d) HCP

158. In tensile test of mild steel, necking will start:-
     (a)     At lower yield stress                    (b)    At upper yield stress
     (c)     At ultimate tensile stress               (d)    Just before fracture

159.   Which medium is used for fastest cooling during quenching of steel?
       (a)   Air                                  (b)    Oil
       (c)   Water                                (d)    Brine (salt water)

160. Compressive test performed on cast iron will have fracture occurring:-
     (a)   Along an oblique plane                (b)     Along the axis of load
     (c)   Perpendicular to the axis of load     (d)     None of the above


161.   Eutectoid steel consists of:-
       (a)     Fully pearlite                          (b)   Fully Austenite
       (c)     Ferrite + Pearlite                      (d)   Cementite + Pearlite


162. Maximum principal strain theory of failure gives satisfactory result for:-
     (a)  Brittle materials only                 (b)     Brittle as well as ductile materials
       (c)     Ductile materials only                  (d)   None of the above


163. Property of absorbing large amount of energy before fracture is known as:-
     (a) Ductility                               (b) Toughness
        (c)    Elasticity                              (d)   Hardness


164. Which one of the following is weaker than hydrogen bonds?
     (a)   Ionic bond                           (b)    Vander Waals bond
        (c)     Covalent bond                          (d)   Metallic bond


165.    Increase in ferrite phase in steel leads to increase in:-
        (a) Strength                                    (b) Hardness
        (c)     Ductility                              (d)   Brittleness


166.    Austenite decomposes into ferrite and cementite at a temperature of:-
        (a)     727 °C                                 (b)   1148°C
        (c)     1495 °C                                (d)   1539°C
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167. Slow plastic deformation in metals under a static load over a period of time is:-
       (a) Fatigue                                 (b) Endurance
       (c) Creep                                       (d) Dislocation


168. Which of the following statements is not true for austenitic stainless steels?
       (a)    They are hardened and strengthened by cold working
       (b)    They are most corrosion resistant amongst stainless steels
       (c)     Austenitic phase is extended to room temperature
       (d)     They are magnetic in nature


169. The crystal structure of alpha iron is:-
       (a)     Body centered cubic                     (b)    Face centered cubic
       (c)     Hexagonal closed pack                   (d)    Simple cubic


170. 18/8 stainless steel contains:-
       (a)     18% vanadium, 8% chromium               (b>    18% chromium, 8% nickel
        (c)    18% tungsten, 8% nickel                 (d)    18% tungsten, 8% chromium


171. Important property requirements for tool materials employed for high speed machining are:-

        (a)    Impact strength, melting point and hardness
        (b)    Hot hardness, wear resistance and toughness
        (c)    Melting point, toughness and shear strength
        (d)    Shear strength, wear resistance and impact strength


 172. Carbon content is highest in :-
        (a)     Mild steel                              (b)   Eutectoid steels

        (c)     Hypoeutectoid steels                    (d)   Hypereutectoid steels


 173. Principal stress at a point in a plane stressed element are: a-       a , 500 N/rn2
        Normal stress on the plane inclined at 45° to x-axis will be:-
        (a)   0                                       (b)    500 N/rn2

        (c)     707 N/rn2                               (d)    1000 N/rn2


 174. If there are bad effects on strain hardening on a cold formed parts, the part must be:-
         (a) Annealed                                   (b) Tampered

         (c) Hardened                                   (d) Normalised

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175. Cold working is the process of deforming a metal plastically:-
       (a)    At recrystallization temperature        (b)   Below recrystallization temperature
       (c)    Above recrystallization temperature (d)       At annealing temperature


176. Which one of the following materials is most elastic?
       (a) Rubber                                     (b) Steel
       (c) Aluminium                                  (d) Glass


177. The temperature at which new stress free grains are formed in the metal is called:-
       (a)    Critical temperature                    (b)   Eutectic temperature
       (c)    Recrystallization temperature           (d)   Yield temperature


178. Toughness of steel is increased by adding:-
       (a) Nickel                                     (b) Sulphur
       (c) Chromium                                   (d) Tungsten


179. In 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


180. Which one of the following is a point imperfection?
     (a)   Vacancy                               (b)     Frenkel defect
       (c)     Schottky defect                        (d)   All of the above




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Source: Uttarakhand Public Service Commission. Question paper published by Uttarakhand Public Service Commission.