GATE Mining Engineerinnewg 2010

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    2010

    '

    Q l

    Q.25 carry one mark eaeb.

    Q.l Ascensionally ventilated coeJ.

    mine

    inclines ideally should have

    higher

    methane layering nUJDbe '

    when

    compared to

    descensiona.lly ventilated inclines. The reason

    is

    A) in IISCelt iionally ventilated incline density of air is higher

    B)

    ascennionaJ[y ventilated

    incline creates

    C

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    21110

    MN

    Q.7 At a surface mine office the independent Sound Pressure Levels (SPL) measured

    in

    dB(A)

    on

    accowrt

    of

    3 drill machines are 85, 88 and 85. If all the three machines work simultaneously, the

    combined SPL, in dB(A), is

    (A)91 (B)90

    (C) 92

    D)

    94

    Q.8

    The

    backsigbt

    reading on

    a beo< h IIINk of RL 100.0 m is 1.45 m. If the inverse staff reading on a

    foresight

    is

    2.23

    m,

    the

    RL

    of

    the

    staffswion

    in m

    is

    A) 105.13 (B) 103.68 C) 100.78 D) 98.55

    Q.9 For a mine of production

    t

    per year, the total

    111

    of production is given by at +b. The revenue

    from

    ale

    is given byc/ .

    If a, b and c,

    are

    C(IIIBtants,

    the breakeven value of I is

    Q.IO

    Q.l1

    Q.l2

    (A) [ d ~ { c - 4 a b } ] / ( 2 a )

    (C) d ~ { c 4ab}]/(2a)

    Thevalueofthe

    I

    x ,,, is

    ~

    _ l

    .

    (A).,.

    (C)O

    (B)

    ( ~ { c

    4ab)]/ 2a)

    D) [cJfc +4ab))1(2a)

    B) I

    (D) 112

    Two de enninants

    of order

    n are multiplied. The order

    of

    he resultant detenninanl is

    A) n B) 2n (C) i D) n/2

    The

    pallial ditfcrartial o:qUBlion,

    r

    iJD =constant, is a solution for

    .

    a e

    ao

    B)-+-=0

    .

    a o 1ao

    D)-+--=0

    iJr r

    iJr

    Q. \3 In Mohr-Coulomb failllfC criterion, the ratio of the uniaxial compressive strenst.h

    to

    tbe tensile

    strength

    is

    l+sinfl

    {A) I

    s in ;

    (C) C(l+sin;J

    I sin)

    -s in;

    (B)

    l s in ;

    (D) 2C{l +sin)

    I

    sin)

    Q.l4 The avt:Illge Young s modulus and Poisson's ratio values ofa limestone sample are 60 x 10 MPa

    and

    0.3

    r e s p e d i ~ l y The shear

    modulus in MPa is

    A) 23.07

    (B)230.7

    {C)

    2307.0

    Q.IS The llllgie of draw in a trough subsidence helps in determining the

    (A)

    maximum subsidence

    (B) ex\l:nt

    of

    surface subsidence

    (C) plane of fracture

    (D) critical width of the opening

    D)

    23070.0

    J/16

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    2010 MN

    Q.l6

    Recapping

    a winding rope

    is

    done to

    (A) increBsc: the flex.Wlll strength

    of

    the rope

    {B) increase

    the

    flexibihtycithe

    rope

    C) remove a portion

    of

    the rope subjected to deterior tion

    D)

    prevent the rope from excessive

    rusting

    Q.l7

    Mat.;h

    the following for

    standard

    diamond

    drill

    rods.

    Specification

    P.AW

    Q.BW

    >L

  • 7/21/2019 GATE Mining Engineerinnewg 2010

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    Q.23 Match

    lhe

    following

    '

    3

    4

    -

    bney'slevcl

    P e u i g r ~ ~ p h

    Planimeter

    Box

    Sextant

    {A)

    \-a;

    2-c; 3-d; 4-b

    (C) l-d; 2-a; 3-d; 4-c

    b

    '

    Purpose

    I Measun:ment

    horimntal and vertical angles

    area of plotted figure

    enlargement and reductioo

    of

    plotted maps

    angle of nclination

    (B)

    1-c; 2-b;

    3-d;

    4-a

    (D) I

    -d;

    2-c; 3-b;

  • 7/21/2019 GATE Mining Engineerinnewg 2010

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    :WJO

    M

    N

    Q .2

    8 A b

    a lanced

    win&

    :r rai

    ses 3000 to

    ones pe

    rda

    y

    fro

    m

    a dept

    h

    ofSO

    O l tL Th

    e pay

    load o

    ft be w in

    ding

    cage

    is 7 ton

    ncs. Th

    e ener

    gy oonsum

    ed per

    day in

    k

    Wh

    at

    70

    wi

    nder eff

    icieocy is

    A

    ) 6 030

    B

    ) 5840

    (C )

    575

    0

    {

    D 56

    30

    Q . 2 9

    A tru

    ss is loa

    ded as s

    hown in

    t

    he fig

    ure. T he

    fi:J

    fce in the

    m em b

    er AC

    is

    A) tens

    ion 7

    5 9

    N

    C

    )

    te n

    sion 43

    .3 N

    (B) comp

    ression

    43.3

    N

    0)

    com

    pression

    75 9

    N

    Q . 3 0

    ln

    the

    frictionless pu lley system

    show n

    in

    the

    figure,

    each

    pul ley

    weighs

    20

    N.

    The

    w eig h

    t

    W

    , in

    N, that c

    n be lifte

    dby the

    sys tem

    unde

    r

    the

    condit

    i0115

    shown

    is

    A)

    200

    (B

    ) 170

    (

    C )

    ISO

    D) 100

    . .

    Q.3

    1 A

    force

    of S i

    -S

    OjN

    is

    m

    oved from

    t

    he

    orig

    in to a co

    on1ina

    te(4.0m

    ,2.0m)

    .

    Thew

    or1r.

    dooe

    in

    the

    process

    i

    n

    J

    is

    A

    ) 7

    5.6

    (C

    )90.2

    (B) 85

    .5

    D)

    1

    00.0

    Q . 3 2

    T

    he

    qu

    eue o

    f trucks

    a

    t

    a cru

    sher pla

    n t hopp

    er is

    known

    to be M IM

    I que

    ue .

    The probab

    ili ty

    that

    there is

    no truc

    kto

    unl

    oad is 0

    .3.

    Due

    to rains

    the m

    ean

    sesvice

    time

    at

    th e

    h o p p e

    r is

    increa

    sed by 30%

    . A s

    a consequ

    ence,

    th

    e

    expec t

    ed n u m b

    er uftru

    clcs in the

    queu

    ing sys

    tem ( in

    cluding

    th

    e one

    poss ib

    lymloa

    d ing)

    becom

    es

    ~ 0 0

    .02

    ~

    ~

    1

    Q .33

    Pull

    from a n

    unde

    rground

    IIII

    IDel blas

    ting is

    normal l

    ydistr i

    buted

    with

    a Ill

    ll8ll o

    f 100 1o1m es

    n

    d

    varia

    nce 1

    00 (ton

    nes) . The

    probab i

    li ty

    thatthe tonna

    ge

    value f

    iom a b

    lastexceed

    s 110

    is

    -

    ~

    =

    .34 T

    he fe

    asibility

    n-:gion

    of an L

    Pprob l

    em in va

    riables

    andy

    is give n

    by

    the followin

    g

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    l

    O IO

    MN

    Q JS

    The

    unit eost

    matrix

    o

    fa ba

    lanced t

    ranspor

    ta t ion p

    roblem

    is

    sbo

    wn

    below

    Q.36

    Q

    .37

    ; o o ~

    : o o =

    ] ~ D ~

    ~ i D 2 ~

    ~ D ~ 3 ~ S

    u p p l y

    o ~

    ~

    :

    I

    Demand

    s

    120 30

    T

    he

    transpO

    rtalion

    COSl

    of he in i t i

    a l

    basic

    fe

    uiblc

    solution

    obt

    ained b

    y the Nort

    bWest co

    mer

    ru

    le

    A)

    1025

    B

    )

    1075

    (C) l

    iJO

    D) 122

    6

    A

    h

    igb

    volume

    a ir

    is

    operate

    d for 8 hours

    in

    a

    m

    ine

    with the

    flow

    n. e of a

    irvaryi

    ng from

    1.5

    m

    1

    /m in

    t

    o

    1.3

    m

    1

    Jmjn.

    h e

    ~

    wei

    ght of the f

    ilter p

    aper

    is

    2

    .30

    g

    th e

    final

    weight

    is

    2.65

    g.

    Tbc

    m ea

    nco n c .

    enuat io

    n

    o

    f he

    Suspen

    ded

    Par

    ticulate

    Matte

    r

    SPM)

    during the

    stud

    y

    per

    iod

    in

    )

    J.r/m' i

    s

    A)

    59\

    B)

    5SO

    (C)

    545

    0)

    521

    In

    an

    open

    cas t

    mine shown

    in

    the fi

    gure be

    low

    th

    e coa

    l h as

    aden

    sity of 1

    .4 tonn

    e /m

    1

    . A

    ssumin

    g

    m

    ining

    opera

    tion sta

    ned tom

    plane

    XY, the

    opera

    ting stri

    pping ra

    tiounder the

    g

    iven con

    ditions

    in

    m'ltonn

    e

    is

    X

    20m

    \

    Om

    20m

    y

    A)

    2.32

    B) 2.4

    7

    C) 2

    .56

    D)

    2

    64

    Q

    .38

    A

    develop

    ed pane

    l

    fo

    r a

    coal se

    am

    hav

    ing

    inc

    ubation

    period of

    6 m

    onths h s

    32

    p

    illars

    u

    nder ex

    traction

    having

    size 25m,

    and

    height

    3

    .0 m Densi

    ty

    of co a

    l

    is

    1.4

    t

    onnefm

    . Ext

    raction

    n.lio

    during

    dcpilla

    ring is expect

    ed to

    be

    7

    S%.

    T

    o depill

    ar

    the

    p

    anel wi

    thin the

    incuba

    tion per

    iod,

    BSI1Iming

    25

    working

    days

    in

    a m o nth,

    the

    produ ction

    ftom the

    panel

    in

    to n n e /

    day

    is

    {A )420

    {8

    )480

    (C)

    5

    6

    {D) 68

    Q.39

    Aclose

    d travc

    neABC

    DE of p

    e r ime te

    r425 m

    ha

    s a

    total err

    or +0.2

    Sm

    i

    n Jat

    i Ude

    -o.4

    4m in

    de

    parture

    . The p r

    ecisio n

    of

    ra

    verse

    is

    (A

    ) I

    in

    ~

    (B) I in

    7 8 5

    {C

    ) 1 in

    833

    (D) 1

    in

    1 02

    4

    71 6

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    20 10

    Q .4 0

    Th

    e va

    lu e

    ofh

    e given

    integ

    ral is

    J

    sin

    x

    cb

    _.

    sinx

    +cos

    .r)

    ,

    A)

    s i n ~ r

    1

    0

  • 7/21/2019 GATE Mining Engineerinnewg 2010

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    1010

    MN

    Q

    .46 Th

    e stro

    ke leng

    th and

    pitch o

    f

    the

    ril

    le bar of a

    pen:uss

    ive

    drill

    I lliCir.in

    e

    are

    60

    nm nd

    tn60

    re

    spective

    ly. If

    tbc drill o

    p:rateS

    2000

    blow s/

    minule,

    the rotll i

    ona l

    speedin I

    Jllllof

    he drill

    stee

    l

    (A ) 145

    (B

    )158

    (C) 16

    2

    (D l

    m

    Q.47

    The

    m

    in

    fa a operating

    point

    of

    a

    vemila

    tioo I) 'Si

    ml is

    show

    n

    i

    n th e figur

    e be

    low f

    NP

    V

    of

    200

    PaaM

    ists t

    he

    v

    cntillli

    oa sy

    stem, the

    resulta

    nt pressu

    re (Pa)

    and

    quaatil}

    '

    m)

    g

    enerate

    d

    by

    tb c

    fao respe

    ctively are

    P

    l BI'II'l

    I,Pa

    100

    0

    600-

    4 1>

    2 0 Q

    ~

    40

    '

    ua nti t

    y. m

    s

    100

    (A ) 500,6 8

    (B) 600,63

    (C)

    640

    55

    omm

    oa D

    ata ue

    sdoa

    e o

    .

    Da

    ta f r llnt

    loas

    4

    u

    d 9:

    (D) 4

    0o,63

    T

    he gnoul

    ar medi

    a

    i

    a fi D

    ore bi

    n

    is

    awuned

    to

    be ofreg

    ulm spbe

    ri

  • 7/21/2019 GATE Mining Engineerinnewg 2010

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    Cee

    ranDl

    llll

    fo

    r Q

    n ~

    5 u

    Sl:

    Matc

    h

    th

    e e

    lement

    s

    o

    fa si

    mplecu

    rve as g

    iven

    in

    the f

    igull b

    elow.

    Q.SO

    T h

    e

    tange

    nt

    len

    gth in m

    is

    A

    ) 215.5

    8

    )2 20.4

    {C)

    22

    8.4

    Q

    5I Th

    e

    lengtb

    o

    flbe longcb

    ord

    in m

    is

    (A) 3

    75

    8)

    400.0

    C

    )

    41

    5

    U

    aked A

    nswer

    Quesd

    ooa

    Sl

    atem ea

    t fer IJakn

    l

    A

    Mwer

    Q

    uestio

    u

    52

    s.cl

    53:

    '

    D)

    23Q.9

    D)

    450

    A lon

    gwall panel

    with

    a

    fa

    ce be

    igbt

    o

    f

    3 .0

    m

    m

    d &ce

    le

    ngth of SO.O

    m is WOfte

    d in

    3 sbift

    s

    per

    da

    y

    em

    ploying

    40

    mea

    p

    er

    shift. T

    he

    dept

    h o

    f

    the w

    eb of

    the sbe

    an:r

    cutting

    co

    al is

    0

    5 m. T he

    l.Ul

    .it w eig h

    t of

    the

    coal is

    I .4 tonne

    lm . Two

    fullface cu

    ts

    r e

    ~ per

    shill

    Q.S2

    The

    d

    ai ly pro

    duct ion

    from

    th epanel

    in 1

    011ne11 is

    A

    ) 945

    B) 1240

    C) 18 9

    0

    {D)

    2530

    Q.53

    Tbc

    paoelO

    MSint

    onncsi

    s

    A)

    12.75

    B

    ) 15.75

    C)

    8.

    75

    0) 5

    .2 5

    Air at

    a dens

    ity of

    12

    kglm

    1

    flows

    in a stra

    ight du

    ct

    s

    udt

    that

    th

    e

    veloci

    ty Bl lhc

    entre

    is

    12

    ..5

    mls. he

    met

    hod fac

    tor for the

    veloc

    ity

    p

    rufilo.:

    isknow

    n

    to

    b e

    0.80

    .

    Q.S

    4

    The

    velocit

    y press

    un: valu

    e

    in

    th e

    duc

    t

    in Pa

    is

    A)31

    8)47

    C)6

    0

    0) 83

    Q.SS he a

    ir

    f low

    c o u J ~ e

    a S

    )n metriC

    expan

    sion su

    ch

    th

    at lbc ao

    a-sect

    io oal

    ar

    ea of

    the

    duct

    bc:come

    s

    double.

    T

    hestati

    c

    pr

    e5IIIIR:

    valu

    e at lbe i

    nlet and

    ou

    tlet of the

    expans

    ion are

    6 Pa

    and

    90 Pa

    . r espec

    tively. N

    eglecti

    ng

    frictio

    n.

    the s

    h o

    k ~

    ioSII on

    accoun

    t of ex p

    ansion

    in P

    ais

    (A) IS

    8

    )22

    C)

    38

    0

    )46

    10/1

    6

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    Geoen

    l

    A

    pdtud

    e (GA)

    Qa

    eltioo

    s

    Q.56 -

    Q.60car

    ry

    OH m

    ark

    N

    eb.

    Q .56

    W

    hich

    of

    he

    foiW

    witrg

    option

    sis the c

    /osQt in111111

    ilfg

    to the

    wordbf low

    :

    A)

    urge

    (B ) co

    ndemn

    (C

    )

    r

    estrain

    (D) scol

    d

    .

    Q

    .S7

    The q

    u tion

    beluw

    e o ~ ~ S

    of a pair

    o

    n

    laJed

    . . .wd

    r

    ol lowed

    b

    y ourpain

    o

    fwo

    mb Selec

    t

    th

    e

    pair

    t

    hai ba

    t

    uj

    .esus

    th e reL:

    uion In

    th e

    origina

    l pair

    Pr

    ealllbll

    i:

    A) a

    rpendq

    ynr: law

    B) pro

    lop:play

    (C )

    epis

    ode:

    se

    rial

    (D) plo t;

    story

    Q.S8 Ch

    cxne

    the mtMI ap

    propriat

    e

    word

    from

    t

    he opto m

    gfven

    below

    to CO

    I1lpiete

    the foll

    owing

    se

    Ntence:

    Tb

    e coml

    lllttee wnne

    a

    report. eD

    ollla& o

    nly t1te l

    t reqlb

    t of tbe

    ) f O ~

    (A) r

    nsonab

    le

    (B

    ) u p p o r

    C

    )

    biuc

    od

    (D) iia gm

    enled

    Q 59

    Ch

    oose

    tile mo

    st

    o

    ppmpri

    iJI

    >WNd

    from the

    o

    ptions

    gt

    ven

    beluw

    t

    o

    co

    mplete

    th e

    fo

    l lowing

    se

    ntence:

    I f

    u.e

    .tr

    y

    u.

    1o

    Kh

    leve

    re111

    . p n 1 t

    1e

    tb a

    t 111e frul

    u or p

    rogrea

    rudro

    aU. a

    nd

    I

    n ~ ~ u l

    m

    eai Te.

    {A

    ) inevit

    able

    (

    B ) conti

    ngent

    (C)

    ob

    li vious

    {D )

    impc

    ntive

    Q

    .6 0 A

    pc :

    rsa:1 illve

    sla Rs.IO

    OO

    a

    t10

    aDD

    ual com

    pound intere

    st

    for 2

    years. At

    tbee

    od of

    w

    ~

    tho:

    w bo

    le

    uoounl

    i

    i

    n ..ested

    at an

    8

    DIIl.lll.

    &i

    mple

    in

    terest

    of

    12%

    fiH

    S

    yea

    n.

    Th

    e

    I< J

    tal value

    oftbe

    m

    -

    iDaUy is:

    (A

    ) 1776

    (B )

    1760

    (C) 19

    20

    (D) 1

    936

    Q

    .61 -

    Q.65

    c

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