12.tnpsc group 2a - maths.pdf

Upload: anonymous-oalbya84

Post on 07-Jul-2018

262 views

Category:

Documents


5 download

TRANSCRIPT

  • 8/19/2019 12.TNPSC GROUP 2A - MATHS.pdf

    1/13

    €s-.

    FOR TNPSC GROUP 2A FULL STUDY MATERIALS, CONTACT 99 42 511 522

  • 8/19/2019 12.TNPSC GROUP 2A - MATHS.pdf

    2/13

    ';

    .-rs":,,Ooit

    ete"t*6ryry-

    I

    L0

    ...

    15

    76

    ..

    11

    i,-i-"r"; l

    l2

    ...

    18

    a

    r-#F;bs,dEe1"'" t

    .4, ...

    49

    l

    i

    a.

    ]Ge.@'@de

    r

    --

    ft-t-i

    +ffi

    58-.41

    ]

    J 69

    ...

    7r

    rr_

    d.Edr,s

    f

    s

    r,

    ddi'@nd.b

    '-

    ---ffi

    -u

    r

    sryt

    dtbpnn

    cd@s

    -

    ---

    -

    -r5.

    @tro(n

    6md;@eir

    :

    :1)

    ,

    tou.

    01

    I

    36 ILb

    ErnDrrn

    grr'ru

    r05.,.

    lll

    16

    [I@6uurP

    ry,,.lry

    |2

    ..

    122

    19 sfl6li,

    ,66ir

    .1,]ygqqll:qaerli@-4+-"J

    1"

    899ryry994e

    -r

    -lqui,am-a

    -.-

    -

    "':

    "*2

    :,.

    o*r+6,rp;ror..aA

    dtitttt'

    o-;-t

    't]

    ':"_

    :,

    mna

    i

    ecm6on*

    eProq*f

    l'o "

    FOR TNPSC GROUP 2A FULL STUDY MATERIALS, CONTACT 99 42 511 522

  • 8/19/2019 12.TNPSC GROUP 2A - MATHS.pdf

    3/13

    Ele:@q-J

    &ld

    re.ir:

    [Nrtural

    nunbeB]

    dsdBeou

    rdson

    6 ii,

    d66m

    sb

    @

    r6d

    i

    lwhole

    nunbes]

    rAur

    ari,6@Ld

    qddu'n

    c5iD5r

    d

    c{r.di';w)-

    to,L2,3.4;...}

    ;

    eL .n

    dafi6,ir,

    666

    dd66 G@b

    qrrrb

    cai66

    ddr66i

    a@

    dEn st@

    'e.dr:

    ,\

    En'6d'*{i.n

    ){iF d@ 4ir' ncidd'

    iEiL

    ,* rr

    .i€d

    dd

    1a.6.3,

    -

    ar.)..ds$,i6

    ,ad.,oLUE

    '6ed

    9d@

    'dEd

    +9D.

    :]

    J

    *

    rs

    n&

    r-3s6 oreub

    €'06

    *

    tr

    'diar$

    ni66qd

    o(&

    Edn -

    [2,35,7,I

    l,

    t3J

    ?,l9

    ,Zl,ZeSt,Zi+t,+1,+l

    ...]

    (dohi.

    rDr

    uPsci

    rxP6.,

    vaoi

    InB, IEr,

    BNr,

    mucE ss., B,l[uAx..

    FOR TNPSC GROUP 2A FULL STUDY MATERIALS, CONTACT 99 42 511 522

  • 8/19/2019 12.TNPSC GROUP 2A - MATHS.pdf

    4/13

    u5tr deirsoffE

    8

    0,

    trnE

    4o6rsa su6n

    dr6@i 6 o,6d

    4r.L

    @,6'

    a',

    ,es#a 6d d dJo

    aEJ},

    *

    2. .6

    o6uo,

    edDD

    ,

    *

    5.a.) d6uo'

    6d6D

    ,

    r

    €s'n

    @M5

    'd

    0 1. {. 6.

    3

    f,.i'D

    &5EE

    d

    0LCoD

    :

    €ed

    o6u0'n

    i

    4n

    6N;5

    'atu

    ursub

    sdsd

    *

    rGa,

    .,6uo,n

    ed,-,.

    re'6,

    '6rm,.u

    *o o r

    .&:

    or.r'

    oi

    d6 ,..r,

    rG6[.i,

    orslom edu6s*

    6'drl6,

    3165 i

    deildn,

    {Jed

    6a*E6ar;

    D.O'b

    dELFi.

    er6ib.

    :

    *

    aad)

    d6utrD

    6*oD 9i '@ddr

    6DLd

    6rd6

    gda5d66

    ( .

    m

    alb

    6dd;.d6;n

    1(il rri'etrB

    6\D6156

    ,5.ird,

    ait,

    d.d,

    r.4 5ir

    d6u6n

    elno&{]rd{n.ledr

    doLLtrd

    9i

    ds@td

    @16

    Ordro

    BM6d5d

    3 d DLii6rs

    oossn

    d6dd,

    66

    rrd

    s$n

    d6u6t

    |

    .

    60l

    &aa *suod

    &s6mJe

    l*

    du FrC

    6-' ,

    t

    i

    .trd,o 6'*d,.

    oa

    ae..,r*--

    w66rh diola

    :

     *".;.L,;;*.-*-

    *-,,,=,-

    --..-.--,-.i',

    +

    3

    ad)

    @LOb

    6d6o,

    ,'i

    dd6nrd'

    @;ea6dd

    &lEEn

    rr;' DldtrE o0iiotr

    'dii

    aNbs

    '6

    @6i'ry 6Lltb

    : trjr:]b I

    4 {

    dsu06

    rofi

    6

    .q b

    d@ulED

    ri

    ,66'f6n

    enr66nr6'id

    &66n

    e d

    uld6tr6

    6o66Li

    6iiii

    FOR TNPSC GROUP 2A FULL STUDY MATERIALS, CONTACT 99 42 511 522

  • 8/19/2019 12.TNPSC GROUP 2A - MATHS.pdf

    5/13

    *

    n

    a.i

    o6uob

    6tu,

    +

    taaN 06u0'b

    r&ru

    |

    oi

    dd6,id

    ori6D

    @d66

    'dirdd

    @*;5d56id

    &cEo)dlsb,

    @r.ol r0

    66

    dd6rd

    Oddi6dr6irl\,'

    h0eord 6'n L.nf,

    ,

    5f94utrd

    0

    €u6c

    .sno6

    u{ir

    uLd,s5odr

    osrj,Eftr)

    €it,

    > turrr6 n-an

    mol,sdoruad.E

    ryd

    @i.rBinE@tuqdc,

    arl-

    '&d

    ii-4d

    r,{d

    rhry&

    60

    k4-.r,eo' ,

    .,@.lg|Esn4oo4t5Bed5.E346e1.'3.6,.gjEgdl.*Fa.'l,c'n'i

    *

    D.€u.i

    d6uob

    Fdm

    ,

    o(D

    ddfftra I oeo6

    3

    ejr

    alglGb

    '6i6n

    sEE

    +

    rrah

    d6uO'D

    pd,tu

    '

    oo

    'airmds

    r oED'b

    ,

    4d

    d6L0D

    d6i6,

    486

    66

    oo

    rrfiffido 5

    oE@b

    3

    4

    fl1610,n,6i6n

    sD6

    d,itr

    or5

    ddtrntrEi

    : oilul6

    +

    4l

    iou06

    '.fi.ii

    36p

    qrtutud5

    oo

    '6ldd

    mld

    6166

    6,G6666

    'r&3iub

    aNdo

    5..i'

    oL'atr5

    @66tr.b sj;6

    ddtrtrtro r

    4d

    d@uob.

    *

    a.sn d6uo,b

    Eem

    ,

    r

    25.Ald

    o6u0'b

    6eru

    i

    q6no?

    ourrdrcuDmp

    e@

    6Dra

    er@nppfti

    Ag,dr5

    6fhnn..

    85n6rd@

    opE:luln glefirjrlE(i) p,nq

    6}alIil'i6

    4oau.rtn

    ,..

    -

    o.Gfioh

    tAs

    o6ruf

     

    qoroiD

    tAs

    osrn-Ib

    CoadrlIg

    ror lJPSo, rxPac, vAo, mB,

    rEr,

    BAN( mUcE

    ssa,

    m[vAr... .

    FOR TNPSC GROUP 2A FULL STUDY MATERIALS, CONTACT 99 42 511 522

  • 8/19/2019 12.TNPSC GROUP 2A - MATHS.pdf

    6/13

    (B)*1

    (c)*l:l

    (A)1qB

    (B)rqr3

    3.

    (a)?

    (16r=

    ,o

    x

    a daid x

    .

    1

    (A)ro (B)rD

    (a)4r11

    (B)ir5

    IA)sax

    (BX?6

    (A)iro (B)'3o

    (A)63610

    (B)Jr6

    (A),' (B)r4

    (A){er

    (B)j6r75

    (D)crii5oiL,@qLb

    @.irs{

    (D)?

    (D)5

    (D)r

    (D)?

    1D)4,

    (D)l

    (c):

    n,

    4'*6I ,6ire dddida

    ,

    .

    4d

    @@Doutr5

    d@LGb

    (c)6

    ,16

    t

    6

    dde

    "iritrida

    ri4*tu

    u|(lordrs 6 06

    '.i'

    *

    (A)3

    (B),

    (c)1

    (Ah

    (B)r (C),

    5

    *

    : a@rb dstrid6r

    6.$i) d6L3b

    'ar

    ,

    in' D9.q dddl

    (A):

    (B)r (c)6

    ,9E6

    +5

    €u'n

    'd'6'tii'

    60Sd

    'dd?

    A)'a5 (B)'ao

    (c)aro

    'ndir5

    trdoEd ,s 5tr d.i']

    (4)16' (B):n (c)rn

    oddoeoorE8t

    dE B 6b

    dd6'r& di66oi6

    @oi,b

    (@qtr61

    (B)L

    (Bri

    e$

    "ED16

    dd@Ld diE

    deddrsu

    dai'os6 &rqnii.

    sne6

    (B)r (c),

    r9,

    8rs

    d,6

    s@dd

    Ldfl

    d69

    rald

    36

    rr+tu

    dd)trldlf

    dr5 rB6?

    (A)34r

    (B)35m

    (CI$0

    tu6r 36

    d6,t6

    s 9

    d.i'

    rrsr-r

    (A)30 (B)'m

    (c)rr

    fudfu&d.,o.b@&5.rr.'fudf,dk*,Jda.lsiry''jry

    FOR TNPSC GROUP 2A FULL STUDY MATERIALS, CONTACT 99 42 511 522

  • 8/19/2019 12.TNPSC GROUP 2A - MATHS.pdf

    7/13

    re?

    r

    qr

    x

    s

    =

    lm), r

    O),

    =

    0@0:

    +

    (mo?f

    t(a+b):

    +

    Gn):

    =

    ,(a,rb,)l

     

    c

    3

    D

    5

    D

    D

    c

    8

    D

    9

    c

    P

    l

    c

    t.

    c t8

    ii.

    I

    ooacti4

    lo.: umc,

    INPSG vao,

    mB,

    rtr, tr{Ny mucE $G

    nArwAY-

    cEr rl

    FOR TNPSC GROUP 2A FULL STUDY MATERIALS, CONTACT 99 42 511 522

  • 8/19/2019 12.TNPSC GROUP 2A - MATHS.pdf

    8/13

    od6r

    io

    sdd6edo,'i

    L,i,n

    dtr5di6r hoEi,

    (rrr+xrt*)

    =

    (21x)

    (rax)

    €6d@

    3.46r) dotL

    cemob.

    od6rMo

    oda66d$6

    Lrirn

    '.ired5ir

    5cs'tu

    =

    (*&hx{,{)

    =

    cqx)

    -

    4tr@

    9,4}

    15LL

    l,oii,Gb,

    s.

    641

    362

    d.iud

    d2 b,

    ,@Li, da50.n

    L6i,nE

    rxx=(64+30(

    b)

    e.

    6tr0e5nu.qlE6ig,n

    .rm trdsr -;';;-

    "@rb

    q666

    L.ir

    6.

    r2,

    a6i@6nuiqo6o'b

    'afi

    =

    e7rtrx6

    =

    (6| r+,

    (xnr)

    =

    (d

    x)

    4d6

    rL$

    osuL c

    aiio'i.

    oE.,Li(si*r,

    qoiEr

    r

    {iir

    dl5 L cddod

    16.

    6r

    s .rEr

    7tr6n

    d15u0'n

    ,2r

    .

    .ud6

    134d

    dE 66

    437

    llErar

    a

    i$.n

    dELC6

    r?r

    4F6

    oDE6ai'rL

    di;E

    e

    d

    41 l

    t7.

    @u.n

    d,i,66'i6 didEtrtra

    2.

    r,

    i 3€

    3rqLid.

    i

    143e2 ddLEJ

    Oud

    de6i66 di66b

    a'tud.

    tud,s&-4r@rb&*\;qtu6drFrq4E

    6a3,irBaa€d.

    .

    FOR TNPSC GROUP 2A FULL STUDY MATERIALS, CONTACT 99 42 511 522

  • 8/19/2019 12.TNPSC GROUP 2A - MATHS.pdf

    9/13

    L.

    ao.FOFa

    's'b

    ep.filu uqud,s*i,60Eri)

    15

    aEl,

    u( d;6di6n

    61tu

    (A)

    E (B) n (c) i6

    (D) i3

    mi*n Elrri6di,&n zind

    6d@r*E6ir

    @r.ilrd&

    actu

    =i+1

    ruldlpraa

    ddr

    =i+1+l=r+2

    aesaogt =r+G+

    1)+(r+2)=45

    3a

    +

    3

    =.15

    3x

    =12

    x

    =14

    46od

    oqlDda

    dD@aad

    x=14,r+l=15,

    x+2=

    16

    ,i

    ,.itrd5ir 5+r.i

    ri5

    ul5d

    63.

    ab15

    ,oo ri 5irh5

    (A)

    630

    (8)730 (c)

    765

    ad0o4a6 cdd'+u dd x dda 6#d6

    ,Dd rG.

    ;t:)

    =

    6r

    lrYl

    r rO

    =

    h1^ rn

    x

    =

    6:t0

    3.

    &D

    soFiEoCiE

    Lroe

    oio4 u( d:56rid

    56Ed 32 d6idr

    od6d*r66tr6

    Mdir6.

    (A)

    14,13

    (B)

    6,r

    (C)re.u

    (D)

    10.12

    60

    a06E0Eo

    '6ob

    oesa

    G(ud55ir

    x.

    (x+2)

    a.i6.

    oIgun,

    4dMd

    &oE.n 32.

    n

    (x)

    +

    (x+2)

    =

    n2

    2x+2

    -32

    2r

    =30

    "

    = 9 =

    rr

    ro

    '5*l

    x=15 ddii',

    si6rErs

    '5r'

    x+2=15+2=1?

    ... oEodnlGb

    sii6&6 sG66G4;6

    dN

    qno

    r@@6Bm

    15, r,

    e6b

    FOR TNPSC GROUP 2A FULL STUDY MATERIALS, CONTACT 99 42 511 522

  • 8/19/2019 12.TNPSC GROUP 2A - MATHS.pdf

    10/13

    4.

    ri

    ddlordr

    ru 5iir.ir ro

    uEd6

    iaq'#'ed

    ao

    udrdlir

    eFd.il

    ec

    d(6 E da 6

    (A):

    i*.="

    ,;a*e,

    -

    o,r,

    io-ie*

    sq.E/

    i\;xi'r=15

    d6i,56li5ir

    50eo155.

    sd6&il

    6iE;du,6

    ?

    ddrd.

    (B) r 26

    (C)

    Eo

    d"i,6ri' xi

    y

    'iir6

    od15

    x >

    y

    adrcuiD

    6s6&snll:L

    6r

    rd66,i6il

    ut, x+y

    =55

    ,Ddur6

    o

    d

    r& 65i.

    r

    d

    o6nou

    (r 'tu

    3 6 sL.

    ?+y+y=55

    "=g=,L

    y=24se

    od

    drddL.

    r

    =7

    + n4= rr

    ."

    aEadrtrs

    go

    's66

    r

    1,tul6,

    ,o-

    oo

    ql,o"es*'

    i

    l,gp..

    ,

    ,ni

    aF

    i'dd

    q6detuir

    d{irflnfl

    L64mu uqnurifi?

    bdf

    oE

    Edi

    sdd

    q6E5Fd5ir

    r 66M

    3lo-r

    on6rd

    qoraE4d

    A,i

    ",;

    0

    cd(nint

    lor:

    uftiq mt6c,

    vao,

    mB,

    lEr,

    E{Nx, mucE, $c,

    na[v,lY..

    -

    FOR TNPSC GROUP 2A FULL STUDY MATERIALS, CONTACT 99 42 511 522

  • 8/19/2019 12.TNPSC GROUP 2A - MATHS.pdf

    11/13

    @rdaB adi6lo 06 6

    obi]uil

    dairs6rid L6n6L6

    6 tra

    s51

    6166

    5d

    5

    sEls

    ooiui.

    'd66rd

    d o

    rd6d1o

    66i:'r6ir

    'r6j

    rr 5ryaf6'rs

    615

    'tr66i6jr

    6u d5Eud6jr

    =

    sdErr6n

    dnr;rro6ui ,

    dldrsr.Gtlr.D

    rt

    g[dinrB

    uBr datu6dflrir

    rn

    tutr,d 1

    € @n.

    *

    idrmn66'ff.,i

    I,.6-0,

    lj.dm.

    :

    oEnBj

    lFn L

    dr

    nd,a tr [

    riur

    tu

     lgd 9In

    '-drn

    daiigtr-d

    6.d

    r

    Geisrrrlrrn

    Ldfl

    n;'6rd

    L drE

     6d'ed

    Llnn d.i,6r'nd

    'j,i.tr

    d

    FOR TNPSC GROUP 2A FULL STUDY MATERIALS, CONTACT 99 42 511 522

  • 8/19/2019 12.TNPSC GROUP 2A - MATHS.pdf

    12/13

    FOR TNPSC GROUP 2A FULL STUDY MATERIALS, CONTACT 99 42 511 522

    FOR TNPSC GROUP 2A FULL STUDY MATERIALS, CONTACT 99 42 511 522

  • 8/19/2019 12.TNPSC GROUP 2A - MATHS.pdf

    13/13

     

    Enquiry Mobile No:

    99 42 511 522

     TNPSC GROUP 2A

    AKASH IAS ACADEMYCOACHING CENTRE MATERIALS

    ஆகஷ  IAS அகடம  கசங  சட  ஸட  மயஸ  இப 

    ஆலன 

    கலடகற.

    தக 

    வவலன

    மகட  17

    தகஙகள

    மத  வல  ர  25 . தலவபவ  மகட  தட 

    எண தவஙகள. உஙக தகஙகள உட உஙகள கவ 

    ய  அப லவகற .த ச இவச.

    CELL : 99 42 511 522E.MAIL ID - [email protected] 

    FOR TNPSC GROUP 2A FULL STUDY MATERIALS, CONTACT 99 42 511 522

    FOR TNPSC GROUP 2A FULL STUDY MATERIALS CONTACT 99 42 511 522