ntse stage 2 - mat paper-2008

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  • 8/7/2019 NTSE STAGE 2 - MAT Paper-2008

    1/16

  • 8/7/2019 NTSE STAGE 2 - MAT Paper-2008

    2/16

    Phnf ' 8=

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    cvbifyw oc zdf lfmz om zdf wknc $11+# Zdf whbf

    yflhzkocwdkp ftkwzw ifz~ffc zdf z~o zfybw oc

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  • 8/7/2019 NTSE STAGE 2 - MAT Paper-2008

    3/16

    Phnf ' 8>

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    yflhzfj kc wobf ~h{ kw nk}fc iflo~# Mkcj ovz

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    zdf whbf ~h{ hw zdf oyknkchl phky om mknvyfw#

    88#

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    89#

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    $G+ 49 $J+ 4=

    ;# ?17

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    7

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    96=

    48

    $G+ 894

    6:$J+ 894

    9>

    80# = 1 76 1 1 88 1 ?

    $H+ 898 $I+ 890

    $G+ 6= $J+ 6:

    mvcwQ.e1 $88 lw89+mjld kqjea jw lFgmV/ey }ejmy5ewh je

    ,j 5xTf vdpw mc5e nWhH mc5w nx, moj[kewh fwh lw bv

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    jd yan nd lFgmV/ey nWhH

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    89#

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  • 8/7/2019 NTSE STAGE 2 - MAT Paper-2008

    4/16

    Phnf ' 84

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  • 8/7/2019 NTSE STAGE 2 - MAT Paper-2008

    5/16

    Phnf ' 8;

    8;# $H+ GPXY $I+ FYWZ

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    98# $H+ 70 $I+ =4

    $G+ 894 $J+ 999

    99# $H+ 7> 1 > $I+ 49 1 80

    $G+ 8=4 1 87 $J+ 8;> 1 86

    97# $H+ =>, 6: $I+ ;7, 40

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    9:# Mkcj zdf ~yocn zfyb om zdf wfykfw 1

    >, ;, 8=, 96, :8, =4, 80>, 8>7

    $H+ 8= $I+ :8$G+ =4 $J+ 80>

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    98# $H+ 70 $I+ =4

    $G+ 894 $J+ 999

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    $G+ 8=4 1 87 $J+ 8;> 1 86

    97# $H+ =>, 6: $I+ ;7, 40

    $G+ :;, 7> $J+ 6=, :7

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    $H+ 8= $I+ :8

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  • 8/7/2019 NTSE STAGE 2 - MAT Paper-2008

    6/16

    Phnf ' 90

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    77# 78, 9;, 9:, 99, 8>, ?, ?

    $H+ 86, 87 $I+ 80, 4

    $G+ 8:, 89 $J+ 86, 80

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    $H+ 86, 87 $I+ 80, 4

    $G+ 8:, 89 $J+ 86, 80

  • 8/7/2019 NTSE STAGE 2 - MAT Paper-2008

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    Phnf ' 98

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    h jfmkczf phzzfyc# Mkcj ovz zdf bkwwkcn lfzzfyw

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  • 8/7/2019 NTSE STAGE 2 - MAT Paper-2008

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    Phnf ' 99

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    >0 :6 ?

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    :=#

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    :>#

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    6 = 6

    $H+ 89 $I+ ;

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    :4#

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    : 6 =

    $H+ 86 $I+ 87

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    newte ?$H+ =74869 $I+ 6:789>

    $G+ =79684 $J+ =>846:

    mvcwQ.e1 $:: lw:4+mvFv kq.vewh fwh }ejmy5ewh je ,j lfxPp5

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    ::#7 6 >: 7 =

    80 87 ?

    H I G

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    :6#

    6 = >; 7 4

    >0 :6 ?

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    $H+ 89 $I+ ;

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    :4#

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    6 = ?4 = 47 > 80

    : 6 =

    $H+ 86 $I+ 87

    $G+ ; $J+ 4

  • 8/7/2019 NTSE STAGE 2 - MAT Paper-2008

    9/16

    Phnf ' 97

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    hyf hyyhcnfj hggoyjkcn zo h gfyzhkc yvlf# Mkcj

    zdf yvlf hcj zdfc kjfczkm{ zdf bkwwkcn cvbify

    myob zdf hlzfychzk}fw#

    :;#

    = 4 :; 89 =

    86 90 ?$H+ 6 $I+ 80

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    60#

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    $G+ 99 $J+ 8:

    68#

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    $G+ 6: $J+ :4

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    hw wdo~c oc phkyw om oppowkzf mhgfw#

    Ilhge

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    lh{fy ?

    $H+ = $I+ 4

    $G+ ; $J+ 89

    67# Do~ bhc{ wbhll gvifw dh}f co mhgf ~kzd hc{

    wdhjkcn ?$H+ = $I+ 7

    $G+ 9 $J+ 8

    6:# Do~ bhc{ wbhll gvifw hyf zdfyf ~dkgd dh}f

    wdhjkcn ocl{ oc z~o mhgfw ?

    $H+ 4 $I+ ;

    $G+ 89 $J+ 8=

    66# Do~ bhc{ wbhll gvifw hyf zdfyf kc ~dkgd zdyff

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    :;#

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    60#

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    $H+ 77 $I+ 97

    $G+ 99 $J+ 8:

    68#

    >4 ? ;>:7 => 6476 87 7;

    $H+ 4: $I+ 40

    $G+ 6: $J+ :4

    mvcwQ.e1 $69 lw6=+mvFv kq.v ,j Iewl ?ev ka }e/eemay nWh

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    $G+ ; $J+ 89

    67# mjyvw Cew]w ?evew h jw mjld Ded X{j ka Ce5ehjv

    vndh ?$H+ = $I+ 7

    $G+ 9 $J+ 8

    6:# mjyvw Cew]w ?evewh jw jwo{ cew X{jewh ka Ce5ehjv nWh?

    $H+ 4 $I+ ;

    $G+ 89 $J+ 8=

    66# mjyvw Cew]w ?evewh jw ydv X{j Ce5ehmjy nWh ?

    $H+ 9 $I+ :

    $G+ = $J+ 4

  • 8/7/2019 NTSE STAGE 2 - MAT Paper-2008

    10/16

    Phnf ' 9:

    6=# Do~ bhc{ wbhll gvifw hyf zdfyf kc ~dkgd ocl{

    ocf mhgf kw wdhjfj ?

    $H+ = $I+ 4

    $G+ 80 $J+ 89

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    $G+ 8: eb $J+ 8= eb

    64# Wvyfwd bo}fw h jkwzhcgf om > eb moyb h plhgf

    P zo~hyjw coyzd, zdfc zvycw lfmz hcj ~hlew : eb,

    hnhkc zvycw zo~hyjw ykndz hcj ~hlew 7 eb, zdfc

    hnhkc zvycw ykndz hcj ~hlew 9 eb zo yfhgd dkw

    jfwzkchzkoc X# ^dkgd jkyfgzkoc kw df mhgkcn

    co~ ?

    $H+ fwz $I+ Fhwz

    $G+ Coyzd $J+ Wovzd

    6;# H gdklj nofw 60 bfzyfw zo~hyjw wovzd hcj zdfc

    zvyckcn zo dkw ykndz, df nofw 60 bfzyfw# Zdfc,

    hnhkc zvyckcn zo dkw lfmz, df nofw 70 bfzyfw#

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    $G+ 60 bfzyfw $J+ 40 bfzyfw

    Jkyfgzkocw 1 $=0 zo =:+ Yfhj zdf mollo~kcn kcmoybhzkoc

    ghyfmvll{ hcj hcw~fy zdf xvfwzkocw 1

    $h+ Wkt mlhzw oc h mlooy kc z~o yo~w, mhgkcn

    fhwz hcj ~fwz hyf hllozzfj zo X, Y, W, Z, V

    hcj ]#

    $i+ Y nfzw fhwz wkjf mhgkcn hcj coz cftz zo Z#

    $g+ Z hcj ] nfz jkhnochll{ oppowkzf mlhzw#

    $j+ W cftz zo ] nfzw h ~fwz mhgkcn mlhz#

    $f+ V nfzw h fhwz mhgkcn mlhz#

    =0# ^dkgd om zdf mollo~kcn gobikchzkoc nfzw ~fwz

    mhgkcn mlhzw ?

    $H+ WXY $I+ YZW

    $G+ WZV $J+ XW]

    =8# ^dowf mlhz kw ifz~ffc Y hcj Z ?

    $H+ X $I+ W

    $G+ V $J+ ]

    6=# mjyvw Cew]w ?evewh je jwo{ ,j X{j Ce5ehmjy nWh ?$H+ = $I+ 4

    $G+ 80 $J+ 89

    6># }eamFDej J lw movewc = mjfd" cmue#e fwh p{eR one lw

    cemnvd }ewa fxB%ja : mjfd" p{e }eWa mXa cemnvd }ewa

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    $G+ 8: eb $J+ 8= eb

    64# lxaw.e ,j LMeev P lw > mjfd bea jd }ewa p{ye nWhR

    yg ge5wh fxB%ja : mjfd p{ye nWR mXa cemnvd yaX

    fxB%ja 7 mjfd p{ye nWR yg mXa cemnvd yaX fxB%ja

    9 mjfd p{ye nW }eWa }kvw tVyO5 X ka knxpye nWhH

    }g blje fxn mjl mc.ee fwh nWh?$H+ km.pf $I+ k~oQ

    $G+ bea $J+ cmue#e

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    }kvw cemnvd }ewa fxB%ye nWR on 60 fd]a p{ye nWH yg

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    }kvw ge5dh yaX fxB%ye nW yMee 60 fd]a zeye nWhH }kvw

    kqeamFDej LMeev lw on mjyve c~a nWh?

    $H+ 70 fd]a $I+ :0 fd]a

    $G+ 60 fd]a $J+ 40 fd]a

    mvcwQ.e1 $=0 lw=:+mvFv leftqd jew /5evk~oQj km

  • 8/7/2019 NTSE STAGE 2 - MAT Paper-2008

    11/16

    Phnf ' 96

    =9# Km zdf mlhzw om V hcj X hyf kczfygdhcnfj zdfc

    ~dowf mlhz ~kll if oppowkzf zo zdf mlhz om V ?

    $H+ ] $I+ X

    $G+ Z $J+ W

    =7# Zdf mlhzw om ~dkgd phky ozdfy zdhc Z hcj ] hyf

    jkhnochll{ oppowkzf zo fhgd ozdfy ?$H+ ZX $I+ VW

    $G+ ZV $J+ YX

    =:# ^dowf mlhz kw ifz~ffc X hcj ] ?

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    bfhcw hcj hll ozdfy yvlfw kc zdf bhzdfbhzkghl

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    $7 86 8;+ 4 % = 2 ?

    $H+ 4 $I+ =

    $G+ : $J+ 9

    ==# Kc hc kbhnkchy{ bhzdfbhzkghl w{wzfb, H bfhcw

    , I bfhcw , G bfhcw % hcj J bfhcw # Hll

    ozdfy yvlfw kc zdf bhzdfbhzkghl opfyhzkoc hyf

    zdf whbf# dkgd ocf om zdf mollo~kcn nk}fw zdf

    yfwvlz om

    84 I 89 H : G 6 J = 2 ?

    $H+ 76 $I+ :9

    $G+ 67 $J+ 6;

    =># ^dkgd gdhcnf om wknc ~kll bhef zdf mollo~kcn

    fxvhzkoc zyvf ?

    = : % ; 2 77

    $H+ % i{ $I+ i{ %

    $G+ i{ % $J+ i{

    =4# ^dkgd kczfygdhcnf om wkncw ~kll bhef zdf

    mollo~kcn fxvhzkoc zyvf ?

    89 7 9 84 % = 2 ;

    $H+ , $I+ , %

    $G+ , $J+ %,

    Jkyfgzkocw 1 $=; zo >8+ Kc zdf mollo~kcn xvfwzkocw {ov

    dh}f zo }kwvhlkqf zdf kbhnf om zdf kzfb

    $mknvyf, ~oyj, lfzzfy, cvbify+ kc ~hzfy# Zdf

    ~hzfy wovygf kw iflo~ zdf kzfb# Gdoowf zdf

    ~hzfy kbhnf myob zdf hlzfychzk}fw#

    =9# 5mc V }eWa X jw {W]l }ekl fwh gc{ m{5w ze5wh yew

    V jw {W] jw lefvw mjlje {W] newte ?$H+ ] $I+ X

    $G+ Z $J+ W

    =7# Z }eWa ] jw }mymaJy mjl 5xTf jw {W]sl moj#eQy&

    ,j c~law jw lFfxUe newhtw ?$H+ ZX $I+ VW

    $G+ ZV $J+ YX

    =:# X }eWa ] jw {W]sl jw gdp fwh mjlje {W] nW ?$H+ Y $I+ Z

    $G+ V $J+ W

    =6# 5mc je }MeQ 5 je }MeQ 5 je }MeQ % }eWa %

    je }MeQnW }eWa tm#ey jw }V5 lDed mv5f ow nd nWhR yew

    mvFv kma#eef mjllw kqeKy newte \

    $7 86 8;+ 4 % = 2 ?

    $H+ 4 $I+ =

    $G+ : $J+ 9

    ==# ,j je[kmvj tm#eyd5 k+my fwhR Hje }MeQ , I je

    }MeQ , G je }MeQ % }eWa J je }MeQ nWhH tm#eyd5

    }ej{v jw }V5 lDed mv5f ow nd nWhH mvFv fwh lw jeWvle

    ilje kma#eef nWh ?

    84 I 89 H : G 6 J = 2 ?

    $H+ 76 $I+ :9

    $G+ 67 $J+ 6;

    =># mpVnewh jw jeWvlw kmaoyQv lw mvFv lfdja#e lnd new

    ze5wtd ?= : % ; 2 77

    $H+ % jewlw $I+ jew % lw

    $G+ jew % lw $J+ jew lw

    =4# mpVnewh jw mjl }c{-gc{ lw mvFv lfdja#e lnd new

    ze5wtd ?89 7 9 84 % = 2 ;

    $H+ , $I+ , %

    $G+ , $J+ %,

    mvcwQ.e1 $=; lw>8+mvFv kq.vewh fwh }ekjewkcewh$}ejmyR .eGcR

    }ueaR lhU5e+jw kqmymgFg jd kevd fwh c.5 j[kve

    javd nWhH kevd je lqewy kc jw vdpw nWhH mc5w nx,w

    moj[kewh fwh lw kevd fwh kqmymgFg jew pxmv5wH

  • 8/7/2019 NTSE STAGE 2 - MAT Paper-2008

    12/16

  • 8/7/2019 NTSE STAGE 2 - MAT Paper-2008

    13/16

    Phnf ' 9>

    Jkyfgzkocw 1 $>: zo >>+ Kc zdf mollo~kcn xvfwzkocw, h

    pyoilfb mknvyf kw nk}fc# Zdf pyoilfb mknvyf

    kw dkjjfc kc ocf om zdf mknvyfw nk}fc hw

    hlzfychzk}fw# Mkcj zdf mknvyf kc ~dkgd zdf

    pyoilfb mknvyf kw dkjjfc#

    >:#

    $H+ $I+

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    tiQ nWhH lfL5ef~{j }ejmy mc5w nx,w moj[kewh fwh lw

    ,j fwh mCkd nWhH bl }ejmy jew Eey jdmz5w mzlfwh

    5n }ejmy mCkd nW hH

    >:#

    $H+ $I+

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    >6#

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    >=#

    $H+ $I+

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    >>#

    $H+ $I+

    $G+ $J+

  • 8/7/2019 NTSE STAGE 2 - MAT Paper-2008

    14/16

    Phnf ' 94

    Jkyfgzkocw 1 $>4 zo >;+ ^dkgd om zdf ]fcc jkhnyhbw

    nk}fc kc zdf hlzfychzk}fw ifwz yfpyfwfczw zdf

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    >4# Bozdfyw, Fcnkcffyw, Mfbhlfw

    $H+ $I+

    $G+ $J+

    >;# Gyo~w, Ikyjw, Wchefw

    $H+ $I+

    $G+ $J+

    40# Kc zdf mollo~kcn xvfwzkoc h phzzfyc kw nk}fc ~kzd

    ocf phyz bkwwkcn# Mkcj ovz zdf phyz ~dkgd ~kll

    gobplfzf zdf phzzfyc#

    $H+ $I+

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    $h+ Bhcwk, Nhvzhbk, Yoqh, Mhykjh hcj

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    jkmmfyfcz wviafgzw#

    $i+ Bhcwk hcj Nhvzhbk zfhgd Dkcjk hcj

    Fcnlkwd#

    $g+ Yoqh hcj Mhykjh zfhgd Fcnlkwd hcj

    Nfonyhpd{#

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    $f+ Hewdhjh hcj Nhvzhbk zfhgd Dkwzoy{ hcj

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    $H+ $I+

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    >;# jeW,w, kued,lehk

    $H+ $I+

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    40# mvFv kq.v fwh ,j vf~ve mc5e nWh mzlje ,j Deet {xKy

    nW bl Deet jew moj[kewh fwh lw Eey jdmz5w zew il vf~vw

    jew k~ae jawhteH

    $H+ $I+

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    mvcwQ.e1 $48 lw46+mvFv l~pve}ewh jew km

  • 8/7/2019 NTSE STAGE 2 - MAT Paper-2008

    15/16

    Phnf ' 9;

    48# ^do hbocn zdfb zfhgd zdf bhtkbvb cvbify

    om wviafgzw ?

    $H+ Bhcwk hcj Hewdhjh

    $I+ Nhvzhbk hcj Mhykjh

    $G+ Yoqh hcj Nhvzhbk

    $J+ Mhykjh hcj Bhcwk

    49# ^do hbocn zdfb zfhgdfw zdyff wviafgzw ?

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    $G+ Mhykjh $J+ Hewdhjh

    47# Zdf gobboc wviafgz zdhz Bhcwk, Nhvzhbk hcj

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    $G+ Bhyhzdk $J+ Fcnlkwd

    4:# ^dkgd om zdf mollo~kcn phky om zfhgdfyw zfhgdfw

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    $H+ Hewdhjh"Bhcwk

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    $G+ Bhcwk"Nhvzhbk

    $J+ Nhvzhbk"Hewdhjh

    46# Zdf gobboc wviafgz zdhz Nhvzhbk hcj Yoqh

    zfhgd kw

    $H+ Dkcjk $I+ Dkwzoy{$G+ Fcnlkwd $J+ Bhzdw

    Jkyfgzkocw 1 $4= zo ;0+ Zdf mollo~kcn xvfwzkocw hyf

    ihwfj oc zdf mknvyf nk}fc iflo~# Kc zdkw mknvyf

    zdf yfgzhcnlf yfpyfwfczw hyzkwzw, zdf gkyglf

    yfpyfwfczw plh{fyw hcj zdf zykhcnlf yfpyfwfczw

    jogzoyw# Zdf cvbifyw kc jkmmfyfcz wfgzkocw

    yfmfy zo zdf cvbify om pfywocw kc zdhz hyfh#

    H mf~ xvfwzkocw hyf zdfc hwefj ihwfj vpoc

    zdkw kcmoybhzkoc#

    90 6

    86

    84 :96

    4 Jogzoyw

    Hyzkwzw

    Plh{fyw

    94

    4=# Do~ bhc{ plh{fyw hyf cfkzdfy hyzkwzw coy jogzoyw ?

    $H+ 76 $I+ 94

    $G+ 9: $J+ 84

    48# ivfwh lw jeWv lglw }m/ej $lhU5e fwh+ mo)e5 k

  • 8/7/2019 NTSE STAGE 2 - MAT Paper-2008

    16/16

    Phnf ' 70

    4># mjyvw mpmjYlj mUe{eB%d nWh kaVyx j{ejea vndh nWh ?

    $H+ : $I+ 6

    $G+ 90 $J+ 96

    44# mjyvw kqmy.ey mpmjYljewh jd zdov fw jf lw jf ,j

    }eWa 1mp - j{e 5e Uew{ nWh?

    $H+ 66& $I+ 60&

    $G+ :6& $J+ :0&

    4;# mjyvw mUe{eB%d j{ejea nWh kaVyx mpmjYlj vndh nWh ?

    $H+ 94 $I+ 96

    $G+ 84 $J+ 6

    ;0# j{ejaewhRmUe{emB%5ewh }eWa mpmjYljewh jew bvjd lhU5e

    jw ?e]yw nx, f fwh zfei5w$lglw Z5ece lhU5e oe{w

    kn{wR lglw jf lhU5e oe{w }hy fwh+

    $H+ mUe{eB%d, j{ejea, Be^J]a

    $I+ mUe{eB%d, BeJ]a, j{ejea

    $G+ j{ejea,Be^J]a, mUe{eB%d

    $J+ j{ejea, mUe{eB%d,Be^J]a

    4># Do~ bhc{ jogzoyw hyf plh{fyw ivz coz hyzkwzw ?

    $H+ : $I+ 6

    $G+ 90 $J+ 96

    44# ^dhz pfygfczhnf om jogzoyw dhw hz lfhwz ocf

    boyf kczfyfwz " fkzdfy hyzw oy wpoyzw kc lkmf ?

    $H+ 66& $I+ 60&

    $G+ :6& $J+ :0&

    4;# Do~ bhc{ plh{fyw hyf hyzkwzw ivz coz jogzoyw ?

    $H+ 94 $I+ 96

    $G+ 84 $J+ 6

    ;0# Kc zfybw om cvbify, hyyhcnf hyzkwzw, plh{fyw hcj

    jogzoyw kc jfgyfhwkcn oyjfy $Zdowf ~kzd

    bhtkbvb cvbify mkywz, ~kzd bkckbvb cvbify

    lhwz+

    $H+ Plh{fyw, Hyzkwzw, Jogzoyw

    $I+ Plh{fyw, Jogzoyw, Hyzkwzw

    $G+ Hyzkwzw, Jogzoyw, Plh{fyw

    $J+ Hyzkwzw, Plh{fyw, Jogzoyw

    ! ! ! ! !