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MPSC AE 2017: Maharashtra Engineering Services Preliminary Examination, Question paper

  • Paper code: 17
  • Language: Bilingual
  • 28 pages
MPSC AE 2017 question paper, Maharashtra Engineering Services Preliminary Examination, Question paper, page 1 of 28
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-                                                 Code : M09
    BOOKLET No.                    6 y 9W,'La\7
                   , -.-.:.-,.--r;..-:.
                  .<  <<..,. ,..:.-< i
                  i .-...-L:...'.l.       FTS@I~Z@I
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(3)
(4)    -
      #mla7snhdm*
              md
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11.   Match the following sentences with correct prepositions to fill in the blanks :
      a.    to              I.          The river flowed                   a bridge.
      b.    after           11.         The repairs                 the roof were completed quickly.
      c.    with            111.                       the party we did a lot of washing-up.
      d.    under           IV.         The bad-tempered man replied                   a grunt,




12.   Match the following :
      a.    Come again                  I.          to advance, develop or improve
      b.    Come about                  11.         to obtain or receive
      c.    Come by                     111.        to happen
      d.    Come along                  N.         What did you say ?
            a         b           c            d
      (1) I           I1          I11          IV
      (2) IV          I11         I1           I
      (3)   I11       IV          I1           I
      (4)   11        I           IV           I11


13.   I met unexpectedly an old friend yesterday at the bus station.
      Select the correct alternative that could replace the underlined part meaningfully.
      (1)   caught a t                                     (2)   came across
      (3) waited on                                        (4)   went by


14.              parents sat up half the night.
      Which one of the following correctly fills the blank in the above sentence ?
      (1) Both of                                          (2)   Both the
      (3)   The both                                       (4)   Both
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MPSC AE 2017 question paper, Maharashtra Engineering Services Preliminary Examination, Question paper, page 7 of 28
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15.     a. The accident was put down to bad luck.
        b.   Ireally love being given presents.
        c.   Tom was liked to be there.
        d. She is being treated in hospital.
        Identify the correct passive sentencds.
        (1) Only a                              (2)      Only a, b and c
        (3) Only b, c and d                     (4)      Only a, c and d


      Read the following passage carefully and answer the questions from 16 to 20 :
                A person who takes the trouble to form his own opinions and beliefs, will feel
        that he owes no responsibility to the majority for his conclusions. If he is a genuine
        lover of truth, if he is inspired by a passion for seeing things as they are and an
        adherrence of holding ideas which do not conform to facts, he will be wholly
        independent of the assent of those around him. When he proceeds to apply his beliefs
        in the practical conduct of life, the position is different. There are then good reasons
        why his attitude should be less inflexible. The society in which he is placed is an
        ancient and composite growth. The people from whom he dissents have not come by
        their opinions, customs and by a process of mere haphazard. These opinions and
        customs, all had their origin in a certain real supposed fitness. They have certain
        depth of root in the lives of a proportion of the existing generation. Their congruity
        with one another may have come to an end. That is only one side of the truth. The
        most zealous propagandism cannot penetrate to them. In common language, we
        speak of a generation a s something possessed of a kind of exact unity, with all its
        parts and members homogeneous. Yet, plainly it is not this. I t is a whole but a whole
        in a state of constant flux; its factors and elements are eternally shifting. It is not
        one but many generations. Each of the seven ages of man is neighbour to all the rest.
        The column of the veterans is already sinking into the last abyss, while the column
        of the newest recruits is forming its tradition, its tendency and its possibilities. Only
        a proportion of each can have nerve enough to grasp the banner of a new truth and
        endurance to bear it along rugged and untrodden ways. Thus we must remember the
        stuff of which life is made. We must consider what a n overwhelming preponderance
        of the most tenacious energies and most concentrated interests of a society must be
        absorbed between material cares and the solitude of the affections. It is obviously
        unreasonable to lose patience and quarrel with one's time because it is tardy in
        throwing off its institutions and beliefs and slow to achieve the transformation
        which is the problem in front of it. Men and women have to live. The task for most of
        us is arduous enough to make us well pleased with even such imperfect shelter as we
        find in daily use and wont. To insist on whole community being made at once to
        submit to the reign of new practices and ideas that have just begun to commend
        themselves to the most advanced speculative intelligence of the time, this even if it
        were a possible process, would do hurry on social dissolution.
       W W R d T P l I I SPACE FOR ROUGH WORK                                             P.T.O.
MPSC AE 2017 question paper, Maharashtra Engineering Services Preliminary Examination, Question paper, page 8 of 28
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16.   select the correct antonym from the passage to
      miscellaneous
      (1) whole                                (2) homogeneous
      (3) tenacious                            (4) different


17.   'rugged and untrodden ways' in the passage means
      (1) rough and outdated
      (2) difficult and inexperienced
      (3) hard and worn out
      (4) strong and strange


18.   What is the hard task the author refers to in the above passage ?
      a. To discard old beliefs for transformation.
      b.   To accept new practices and ideas.
      c.   To be absorbed between material cares and solitude of affection.
      Select the correct answer.
      (1) Only a
      (2) Only b
      (3) Only b and c
      (4) All a, b and c


19.   An overnight change in social setting is not desirable because
      a. The society in which the person lives is an ancient and of composite growth.
      b.   The opinions and customs in the society are deep rooted.
      Select the correct alternative to complete the sentence.
      (1) Only a is correct
      (2) Only b is correct
      (3) Both a and b are correct
      (4) Both a and b are incorrect


20.   According to the passage, customs and traditions originate from
      (1) lives of ancient people in the society.
      (2) the traditional society.
      (3) largely in previous generations.
      (4) real and flawless connectivity among the majority of the members of existing
          society.
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MPSC AE 2017 question paper, Maharashtra Engineering Services Preliminary Examination, Question paper, page 9 of 28
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There is a degradation of natural forest and soil due to this method used by the
       tribals for farming :
       (1) Terrace farming                      (2) Slash and burn
       (3) Agro-forestry                        (4) Subsistence agriculture




       Which one of the following does not include in the concept of conservation of
       resources ?
       (1) Careful use                       (2) Rational use
       (3) Not to use                        (4) Preservation from destruction

23.    G    l   T    d    ?   d    &    h    ~     ~   ~   ~   ~   ?
       (1) dftm alpm                               (2)     &$mh
       (3) w m                                     (4)
       Which of the following is not a factor of index ?
       (1) Life Expectancy                         (2) Road and Rural Development
       (3) Literacy                                (4) Infant Mortality




       Consider the following statements :
       a. India Trade Promotion Organisation was set up in January 1992.
       b. State ~ r a d i n ~
                           Corporation was set up primarily to deal in trade with
          inter-states.
       c. The Indian Institute of Packaging undertakes research on raw materials for the
          packaging industry.
       Which of the statements given above idare incorrect ?
       (1) Only a and b                         (2) Only b
       (3) Onlv c                               (4) Onlv a and c
                                                                       -    -       -

      5 P 4 l d l G i l T I SPACE FOR ROUGH WORK                                    P.T.O.
MPSC AE 2017 question paper, Maharashtra Engineering Services Preliminary Examination, Question paper, page 10 of 28
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25.   ~ W i W J F i & h ~ d ' d h@?
                                  h
      (1) m a ; r r m ~ , ~ & l                             *   ~   ~   ~     .
      (2) ma;n w m r m 3 T i m * m a ; r r r n & ~ .
      (3) m     a   ;   r   r   m   F   r   ~   ~   ~   J   r   w   z   r   ;     h   ~   +   .
      (4)    ma;rr~*+maamm?R;rftaFlTi.r;Rm*m.
      Which of the following statements regarding call money market is not correct ?
      (1) Call money market is centred in Mumbai, Kolkata and Chennai.
      (2) Call money market is also known as Inter bank market.
      (3) Call money market is the most appropriate indicator of liquidity position of
          money market.
      (4) Borrowingllending transactions in call money market are camed out for three
          days.

26.         2012 - 13 d                             (OPEC) $Tfl             3T19m             ?A
      M.
      (1) 30               (2) 38.6           (3) 29                    (4)       25
      India's import from Petroleum Export Countries (OPEC) was                     percent (%) in
      the year 2012 - 13.




      Consider the following statements :
      a. The wholesale price index is thus a measure of inflation on an economy wide
           scale.
      b. The consumer price index is the retail price average of a basket of goods and
           services directly consumed by the people.
      c.   GDP deflators which distinguishes between personal growth in income and
           price rise.
      Which of the statements given above islare incorrect ?
      ( 1) Only a and b                         (2) Only c
      (3) 0niy a                                (4) only b and c
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MPSC AE 2017 question paper, Maharashtra Engineering Services Preliminary Examination, Question paper, page 11 of 28
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IV.   lm 1999




Match the following pairs :
         A                                      B
      (Yojana)                              (Est. Year)
a.   Swarna Jayanti Gram              I.    December 1997
     Swarozgar Yojana
b.   Jawahar Gram                     11.   September 2005
     Samridhi Yojana
c.   National Rural                   111. April 1999
     Employment Guarantee Act
d.   The Swarna Jayanti               N. 1 April 1999
     Shahari Rozgar Yojana




b W / SPACE FOR ROUGH WORK                                   P.T.O.
MPSC AE 2017 question paper, Maharashtra Engineering Services Preliminary Examination, Question paper, page 12 of 28
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Consider the following statements :
      a. The State Reorganisation Commission was established by the Central
          Government in 1953.
      b.  The Andhra Pradesh Reorganisation Act was approved by the Indian
          Parliament in 2014.
       c.   Telangana is the 2gth State of India.
      d. Telangana State was established on 2ndJune 2014.
      Which of the statements given above are correct ?
      (1) Only a and b                         (2) Only b and c
      (3) Only c and d                         (4) a, b, c and d
so.   a-i&aw****?




      Which of the following pairs are correctly matched ?
                A                                B
          (Amendment)                        (Subject)
       a.   52ndAmendment            -    Anti-defection Law
       b.   56th Amendment           -    Statehood for Goa
      c.    5gth Amendment           -    Emergency in Punjab
      d.    62ndAmendment            -    Reservation for SCs and STs
      (1)   a, band d                           (2) a, b and c
      (3)   c and d                             (4) a, b, c and d
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31.   ~~$Mt+m~JIW;Trift+mrnm3~mw???
       (1) 53 +m                                (2)   **dm*
           Irn +m
       (3) T                                    (4) m+R ;rrft
      Which one of the following schemes is not recognized as Prime Minister's Scheme ?
       (1) Mudra Yojana                         (2) Jivan Jyoti Bima Yojana
       (3) Jan Dhan Yojana                      (4) None of the above




       Consider the following statements :
       a.     Dr. Babasaheb Ambedkar was awarded with Bharat Ratna posthumously.
      b.      Mahatma Gandhi was awarded Bharat Ratna.
      c.      Pt. Madan Mohan Malviya was awarded Bharat Ratna in 2016.
      d.      Sachin Tendulkar was awarded Bharat Ratna in 2014.
      Which of the statements giren above islare incorrect ?
       (1) Only a                               (2)   Only d
      (3)     Only b and c                      (4)   Only a and d




      What is the ranking of Navi Mumbai and Pune cities as per the Swachha
      Samekshan 2017 ?
      (1)     08 and 13                         (2) 29 and 32
      (3) 40 and 45                             (4)   56 and 72
                                                                               -          -

WSll aT4lF#    G P l l I SPACE FOR ROUGH WORK                                     P.T.O.
MPSC AE 2017 question paper, Maharashtra Engineering Services Preliminary Examination, Question paper, page 14 of 28
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34.   ~     ~    T      k   i   f   h   ~       /       *   3Tw*.
      3.    m*m
      .36ta?pm
      (1)   V ; ~ Rn                           (2) ~ i r r ~
      (3) n W@I r +iM                          (4) ~      ~     ;   l          l       e
      The wmmitteels regarding the electoral reformls idare
      a. Dinesh Goswami Committee
      b.  Indrajit Gupta Committee
      (1) Only a                               (2) Only b
      (3) Both a and b                         (4) None of the above

35.   ftnsm-h-+amd,a+*?
      n.    %m'?W
      r.    '*3im;W3M&N
      3.    ~    *   ~                  *           '        3        ~
      s.    '&-47'3 a+ii
      (1) n , r *,    3,s y                   (2) r , 5 *,    3 , s 9~
      (3) r , 3 f i s * , n -                 (4) wl
      Mikhael Kalashnichov passed away, who was he ?
                                                                 *
      a. Honoured by 'Stalin Prize'
      b.  Honoured by 'Order of Lenin'
      c.  Honoured by 'Hero of Socialist Labour'
      d.  Father of 'AK-47'
      (1) a, b are correct, c, d are false    (2) b, c are correct, a, d are false
      (3) b, c and d are correct, a is false  (4) All are correct

36.   &     #   X       E   ~   T   ~       ~   ~       %   ?       I?W
                                                                      'I ?
                                                                        @I?~       ~       ~   ~
      (1) *riMitFTFTIm&*.
      (2)   wrnd*.
      (3)   mTm~rn@t*fm=2*.
      (4)   w m u ; r f i r ~ ~ ~ .
      Which of the following features of the first phase of monorail is not correct ?
      (1) Every monorail has four coaches.
      (2) Total stations are seven.
      (3) Total time of journey is twenty minutes.
      (4) One wach is reserved for ladies only.

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MPSC AE 2017 question paper, Maharashtra Engineering Services Preliminary Examination, Question paper, page 15 of 28
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What was the subject of the conference organised by the United Nations in 1977 at
       Nairobi ?
       (1) Protection of wildlife
       (2) Water pollution
       (3) Desertification
       (4) Depletion of ozone




       Coastal Regulation Zone (CRZ) notification was published for the environmental
       protection of coastal areas.

       Which of the following CRZ notifications is applicable to Andaman .and Nicobar
       islands ?
       (1) Coastal Regulation Zone Notification-I
       (2) Coastal Regulation Zone Notification-I1
       (3) Coastal Regulation Zone Notification-I11
       (4) Coastal Regulation Zone Notification-IV
?lEZUlWf4lF&GlPll   I SPACE FOR ROUGH WORK                                       P.T.O.
MPSC AE 2017 question paper, Maharashtra Engineering Services Preliminary Examination, Question paper, page 16 of 28
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39.    *m          :
                   JT

       3.                               I.
             -@                         11.
       .     *         &                111.
       s.    R.q. rn                    IV.
             3I             9     T

       (1) IV               111   I1
       (2)   I              I1    111
       (3)   11             IV    I
       (4)   111            I     IV
       Match the pairs :
                        A                              B
       a.    Behramaji Malbari          I.     Saktiche Vaidhavya
       b.    Karandas Moolji            11.    Satya Prakash
       c.    Shivram Kamble             111. Somvanshiya Mitra
       d.    V.D. Savarkar              IV. Jatyuchhedak Nibandh
             a              b     C             d
       (1)   IV             111   I1            I
       (2) I                I1    111           IV
       (3)   I1             IV    I             111
       (4)   111            I     rv            I1




       The SAARC Summit held in             witnessed the signing of the SAARC Regional
       Convention on Suppression of Terrorism.
       (1) Kualalumpur                                (2)   Kathmandu
       (3)   Bangalore                                (4) Colombo

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MPSC AE 2017 question paper, Maharashtra Engineering Services Preliminary Examination, Question paper, page 17 of 28
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41.   A railway engine of mass 60 tonnes is moving in a circular track of radius 200 m
      with a velocity of 36 kmph. What is the force exerted on the rails towards the centre
      of the circle ?
      (1)   3OkN            (2)   180 kN          (3)   3 kN             (4)   300 kN

42.   What is the translatory effect of couple ?
      (1) Zero                                   (2) Equal to rotation
      (3) Force x distance                       (4) None of these

43.   If the two bodies, before impact, are not moving along the line of impact, t h e collision
      is called
      (1) Direct Impact                          (2) Indirect Impact
      (3) Parallel Impact                        (4) None of these

44.   The mass moment of inertia of a cylinder having radius 'R' and mass 'm' about its
      axis is equal to




45.   If a body is supported by more constraints than required, then it is statically
      (I) indeterminate                          (2) fixed
      (3) unbalanced                             (4) None of these

46.   If '0' is the angle of contact between rope and drum, then the relation between
      tension 'TI'on flock side and tension 'T,'on tight side is given by

      (1) T, = Tl eZe                             (2)   T, = Tl eZu

      (3)   T, = Tl eZue                          (4) T, = T, eue


47.   If the volume of a homogeneous body possesses two planes of symmetry, then its
      centroid must lie along
      (1) any plane
      (2) both the planes
      (3) line of intersection of the two planes
      (4) anywhere in the space

W mmnndt           I SPACE FOR ROUGH WORK                                               P.T.O.
MPSC AE 2017 question paper, Maharashtra Engineering Services Preliminary Examination, Question paper, page 18 of 28
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48.   A small ball is shot vertically upward from the top of a building 25 m above ground
      with initial velocity 9.81 mlsec. Determine the maximum height the ball will reach.
      /I) 29.9 m                                 (2) 40 m
      (3) 38.9 m                                 (4) 7 m

49.    In moment summation, the riloment of the resultant force about point 0 is equal to
       the sum of
       (1) all the couple moments in the system
       (2) moment of the forces in the system about point 0
       (3) Both (1) and (2) points above
       (4) None of these

50.   Two trains 'A' and 'B' are moving on parallel tracks in opposite directions. The
      velocity of 'A' is twice that of 'B'. They take 18 seconds to cross each other. What are
      the velocities of trains A and B ? Take length of train A as 240 m and that of B as
      300 m.
      (1) Velocity of A is 72 kmph and velocity of B is 36 kmph
      (2) Velocity of A is 80 kmph and velocity of B is 40 kmph
      (3) Velocity of A is 36 kmph and velocity of B is 18 kmph
      (4) Velocity of A is 29 kmph and velocity of B is 58 kmph

51.   Experiments with sliding block indicate that the magnitude of the kinetic friction
      force is           to the magnitude of the resultant normal force.
      (1) directly proportional                (2) inversely proportional
      (3) equal                                   (4)   None of these

52.                   states that the algebraic sum of moments of two unequal forces about
       any point in their plane is equal to the moment of their resultant about that point.
       (1) Lami's theorem                         (2) Varignon's theorem
       (3) D' Alembert's theorem                  (4) Polygon law of forces

53.   In dry friction, the frictional force acts     to the contacting surfaces in a direction
      opposed to the motion or tendency for motion of one surface relative to another.
      (1) tangent -                              '(2) normal
      (3) tangent and normal                      (4) None of these

54.   Kinetic energy during collision is lost due to
      (1) Heat generation                         (2) Sound generation
      (3) Vibration of colliding bodies           (4) All of the above
      m r m ; m d t m I SPACE FOR ROUGH WORK
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55.   A projecting stone which is usually provided to serve as support for roof truss, beam,
      weather shed, etc. is known as
       (1)   String Course                      (2)   Coping
       (3) Cornice                              (4) Corbel


56.    If tensile stresses in concrete are neutralised by introducing initial compressive
       stresses, such concrete is known as
      (1) Reinforced cement concrete
      (2) Prestressed cement concrete
       (3) Fibre-reinforced cement concrete
       (4) Prefabricated cement concrete


57.    The maximum eccentricity in a rectangular foundation of width 'b' for no tension in
       masonry should not exceed
       (1) W2                                   (2) bl3



58.    The key word to GIs technology is
       (1) Geography                            (2)   Geology
       (3) Geomorphology                        (4) Geometeorology

59.   The primary need for automation on construction sites is
      (1) Fierce competition among construction contractors
       (2)   Concerns for short term profits
      (3) Protect humans from safety and health hazards
       (4) Easy availability of computer technology


60.   A surveyor measured the distance between two points (A and B) on the plan drawn
      to a scale of 1 an = 30 m and the result was 512 m. Later, however, he discovered
      that he used a scale of 1 cm = 10 m. Find the true distance between points A and B.
      (1)    1024m                              (2)   1250 m
       (3) 1536 m                               (4)   2048 m
      mrm3ndt GlPlT I SPACE FOR ROUGH WORK                                           P.T.O.
MPSC AE 2017 question paper, Maharashtra Engineering Services Preliminary Examination, Question paper, page 20 of 28
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M09                                         20                                            A

61.   The number of different plain scales recommended by IS 1491 - 1959 for the use of
      engineers are
      (1) Three
      (2)   Four
      (3) Five
      (4) Six
-- -               -




62.   Contour lines of different elevations can unite to form one line only in the case
      of
      (1) Ridge
      (2) Valley
      (3) Vertical cliff
      (4)   Hill


63.   When it is not possible to set up the levelling instrument between the points, the
      type of levelling to be used is

      (1) Fly levelling

      (2) Differential levelling

      (3) Reciprocal levelling

      (4)   Profile levelling


64.   A level is set up in between two'points A and B. Elevation of point A is 201.100 m
      (i.e. B.M.). If the B.S. reading taken on point A is 2.225 m and F.S. reading taken on
      point B is 1,895 m, then what is the elevation of point B ?




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66.    In modem terminology, the performance of refrigerators and air-conditioners is
       expressed in terms of Energy Efficiency Rating (EER). The relation between EER
       and Coefficient of Performance (COP) is
       (1) EER = 4.312 COP                          (2)   COP = 4.312 EER
       (3) EER = 3.412 COP                          (4) COP = 3.412 EER


66.    Heat transfer by conduction takes place according to
       (1) Fourier's law
       (2) Newton's law of heating
       (3) First law of thermodynamics
       (4) Stefan-Boltzmann law


67.    A heavy nucleus split into two or more lighter nuclei is known as
       (1) Fusion                                   (2) Fission
       (3) Radioactivity                            (4) None of the above


68.    Thrust ball bearing carries
       (1) radial load only                         (2)   thrust load only
       (3) radial and thrust load                   (4)   None of the above


69.    In hydroelectric power plants,                  provides an accelerating head which
       increases the velocity of flow in the pipeline corresponding to the increased demand
       by the turbine.
       a.    Spillways
       b.    Surge tanks
       c.    Forebay
       d.    Penstock
       Which of the above islare correct ?
       (1) Only a                                   (2) Only b or c
       (3)   Only d                                 (4) Only a and d

UifCZl7 Z l Y t W K d WJl'l ISPACE FOR ROUGH WORK                                   P.T.O.
MPSC AE 2017 question paper, Maharashtra Engineering Services Preliminary Examination, Question paper, page 22 of 28
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M09                                             22                                            A
70.   Which of the following are the inversions of double Slider Crank Chain mechanism ?
      a.        Scotch yoke and Oscillating cylinder engine
      b.        Oldham's coupling and Hand pump
      c.        Elliptical trammel and Oldham's coupling
      d.        Whitworth quick-return mechanism and Scotch yoke
      Which of the above islare correct ?
      (1) O n l y a a n d b                          (2)   Only d
      (3) Only c                                     (4)   Only c and d


71.   Material selection criteria for the connecting rod of a n I.C. engine capable to
      withstand fluctuating stresses is
      (1) Endurance limit                            (2) Yield strength
      (3) Ultimate strength                          (4)   None of the above


72.   Which casting defect occur due to excess moisture content in moulding sand ?
      (1) P O M S ~ ~ Y                              (2)   Shrinkage
      (3) Blow holes                                 (4)   Inclusions


73.                    is the best cutting angle of twist drill used for drilling brass material
      workpiece.
      (1) 125"                                       (2)   111"
      (3)       118"                                 (4)   120"


74.   The amount of taper in a workpiece is usually specified by the ratio of
      (1) Large diameter of taper to its length
      (2) Small diameter of taper to its length
      (3) Difference in diameters of taper to its length
            '




      (4) None of the above
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A                                                  23
75.       Thevenin's theorem can be applied to networks containing
          (1)   Passive elements only
          (2)   Active elements only
          (3)   Linear elements only
          (4) All of these


76.       When a Q-factor of a circuit is low, then
          (1) power factor of the circuit is low
          (2) impedance to resistance ratio of the circuit is low
          (3)   bandwidth is zero
          (4)   None of the above


77.       In a balanced star-connected system, line voltages are                  ahead of their
          respective phaie voltage.
          (1)   30"                                     (2)   60"
          (3)   120"                                    (4)   None of the above


78.       The superposition theorem is essentially based on
          (1) Reciprocity                               (2) Linearity
          (3) Duality                                   (4)   None of the above


79.       The purpose of oil in high rating transformer is for
          a.    lubrication of core.
          b.    insulation.
          c.    cooling of transformer.
          d.    providing fuel for operation.
          Which of the above statements idare correct ?
          (1) Only a and b                              (2)   Only b, c and d
          (3)   Only b                                  (4)   Only b and c
      d
ait+Xil                  I SPACE FOR ROUGH WORK                                          P.T.O.
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80.   While measuring the power in a three-phase load by two-wattmeter method, the
      readings of the wattmeters will be equal and opposite when
      (1) the power factor is unity
      (2) the load is balanced
      (3) the phase angle is between 60" and 90"
      (4) the load is purely inductive

81.   The iron loss in a 10 kVA transformer is 1 kW and the full load copper losses are
      2 kW. The maximum efficiency occurs a t a load of
      (1)   14.1 kVA
      (2) 7.07 kVA
      (3)   5kVA
      (4) 7.07 kW


82.   The power in a three-phase circuit is measured by the two-wattmeter method. The
      reading indicated on the two wattmeters are W1 and W,. The total power in the
      circuit is not given by
      (1) W1 + W,                             (2) W, - W,

      (3)   &vLIL cos      I$                 (4) 3 Vph Iph COO


83.   The equation for 25 cycles per second current sine wave having RMS value of
      30 Ampere, will be
      (1)   30 sin (25t)                       (2) 30 sin (25nt)
      (3) 42.4 sin (25nt)                      (4) 42.4 sin (50nt)


84.   How is the form factor for sinusoidal alternating quantities with I,   as the peak
      value expressed ?




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85.   The area enclosed between the straight line y = x and the parabola y = x2 in the
      x-y plane is




- -




86.   The quadratic appmxirnation of Ax) = x3 - 3x2 - 5 at the point x = 0 is
      (1)   3x2- 6 x - 5                        (2) - 3x2 - 5
      (3)   - 3x2 + 6x + 5                      (4)   3x2 - 5


87.   A cubic polynomial with real coefficients
      (I) can possibly have no extrema and non-zero crossings
      (2) may have up to three extrema 'and up to 2 zero crossings
      (3) cannot have more than two extrema and more than three zero crossings
      (4) will always have an equal number of extrema and zero crossings

88.   As x varies from -1 to 3, which one of the following describes the behaviour of the
      function Ax) = x3 - 3x2 + 1?
      (1)   Ax) increases monotonically
      (2)   Ax) increases, then decreases and increases again
      (3)   Ax) decreases, then increases and decreases again
      (4)   Ax) increases and then decreases


                                        az    az
89.   If z = eax by f (ax - by), then b -
                  +                        +a -  equals to
                                               %
      (1) 2abz                                  (2)   - 2abz
      (3)   - 2az                               (4) abz


90.   Let A be an n x n matrix with rank r (0 < r < n). Then AX = 0 has p independent
      solutions, where p is
      (1) r                                     (2)   n
      (3)   n-r                                 (4) n + r

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91.   How is the crest factor of alternating quantities expressed ?




                                                                                         --




92.   The value of
                       I
                       C
                           p.& for F = 3 x 2 i + (2x2 - y) 3+zk passing through the straight

      line joining (0, 0, 0) and (2, 1,3) is
      (1) 24                                         (2)   16
      (3) 12                                         (4)   32

93.   Expansion of (1+ x)lIxup to the term containing x2 is given as




94.   The minimum value of xy + a3
                                         [: + -;I
                                          -         1s




95.   Find for what value of k, the set of equations
           2~-3~+6~-5t=3
           y-4z+t=l
           4x-5y+82-9t=k
      has an infinite number of solutions for equal to
      (1) 8                                       (2) 5
      (3) 7                                       (4) 6


96.
                                                           [ : :)-[ -:
      If x = eUtan v, y = eUsec v, then the value of x - + y -       + -
                                                                       x      y
                                                                                  :)is
      (1) Zero                                       (2) Unity
      (3) One and half                               (4) Half
      WW&          I SPACE FOR ROUGH WORK
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97.    Cauchy's homogeneous linear differential form is given as

                   dy + 5y = x2 sin (log x), then the particular integral will be
       x2 d2y - 3x -
          dx 2     dx


                                                         1
       (1)   1
             2
               e-2z z cos z                        (2)   - eZZcos z
                                                         2


                1                                            1
       (3)   - - eZZz cos z                        (4)   - - e-2z cos z
                2                                            2


98.    For ( D +~ 4D + 3) y = 3e2x, the particular integral is




100.   The volume bf the region enclosed by the cone z =                      and paraboloid
       z = x 2 + y 2 is




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