NTSE STAGE 2 - MAT Paper-2007

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  • 8/7/2019 NTSE STAGE 2 - MAT Paper-2007

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  • 8/7/2019 NTSE STAGE 2 - MAT Paper-2007

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  • 8/7/2019 NTSE STAGE 2 - MAT Paper-2007

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    Phnf ' 90

    Jkyfgzkocw 1 $= zo >+Kc zdf mollo~kcn xvfwzkocw, zdfyf kwh yflhzkocwdkp ifz~ffc zdf z~o zfybw $Lfzzfyglvwzfyw+oc zdf lfmz om zdf wknc $1 1+# Zdf whbfyflhzkocwdkp ftkwzw ifz~ffc zdf z~o zfybw zo zdfykndz om zdf wknc $1 1+ om ~dkgd ocf kw bkwwkcn#Mkcj zdf bkwwkcn ocf myob zdf hlzfychzk}fw#

    =# IJN 1 []Z 1 1 JMK 1 ?

    $H+ T]W $I+ VY$G+ ZY $J+ ZXC

    ># Y]LP 1 GN^H 1 1 ? 1 FK[G$H+ IMQ^ $I+ JDTI$G+ JMTQ $J+ MDBC

    Jkyfgzkocw 1 $4 zo 80+Wzvj{ zdf phzzfyc om mknvyfw nk}fckc fhgd xvfwzkoc zo mkcj ovz zdf yflhzkocwdkphbocn zdfb# Ocf mknvyf kw bkwwkcn# Gdoowf zdfbkwwkcn mknvyf myob zdf hlzfychzk}fw#

    4#

    ?

    $H+ $I+

    $G+ $J+

    ;#

    ?

    $H+ $I+

    $G+ $J+

    80#

    ?

    $H+ $I+

    $G+ $J+

    mvcwQ.e 1 $= lw >+mvFv kq.vewh fwh mpVns $1 1+ jw ge5wh }ewa cew kcewh$}ueaewh jw lf~n+ jw gdp ,j lFgV/e nWhH ond lFgV/empVns $1 1+ jw cemnvw }ewa jw cewvewh kcewh fwh Ded nWR mzvfwhlw ,j {xKy nWhH mc5w nx, moj[kewh fwh lw {xKy kc Eeyjdmz5wH

    =# IJN 1 []Z 1 1 JMK 1 ?

    $H+ T]W $I+ VY$G+ ZY $J+ ZXC

    ># Y]LP 1 GN^H 1 1 ? 1 FK[G$H+ IMQ^ $I+ JDTI$G+ JMTQ $J+ MDBC

    mvcwQ.e 1 $4 lw 80+kqY5wj kq.v fwh cd nxiQ }ejmy5ewh jw vf~vw je}/55v jdmz5w }eWa bvfwh lFgV/e jew Eey jdmz5wHblfwh ,j }ejmy {xKy nWhH mc5w nx, moj[kewh fwh lw {x Ky}ejmy jew Eey jdmz5wH

    4#

    ?

    $H+ $I+

    $G+ $J+

    ;#

    ?

    $H+ $I+

    $G+ $J+

    80#

    ?

    $H+ $I+

    $G+ $J+

  • 8/7/2019 NTSE STAGE 2 - MAT Paper-2007

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    Phnf ' 98

    Jkyfgzkocw 1 $88 zo 86+Kc zdf mollo~kcn xvfwzkocw, wobfmknvyfw hyf nk}fc kc h wfxvfcgf# Mkcj ovz zdfmknvyf myob zdf hlzfychzk}fw, ~dkgd ~kll gobf kcplhgf om zdf xvfwzkoc bhye zo goczkcvf zdfwfxvfcgf#

    88#?

    $H+ $I+

    $G+ $J+

    89# ?

    $H+ $I+

    $G+ $J+

    87#

    $H+ $I+

    $G+ $J+

    8:#

    $H+ $I+

    $G+ $J+

    86# ?

    $H+ $I+

    $G+ $J+

    mvcwQ.e 1 $88lw 86+mvFv kq.vewh fwh jxC }ejmy5e ,j f fwh cdtiQ nWhH mc5w nx, moj[kewh fwh lw kq.v mpVns jw LMeev ka}evw oe{d bl }ejmy jew Eey jdmz5w zew bl f jewgve5w aUewtdH

    88# ?

    $H+ $I+

    $G+ $J+

    89# ?

    $H+ $I+

    $G+ $J+

    87#

    $H+ $I+

    $G+ $J+

    8:#

    $H+ $I+

    $G+ $J+

    86# ?

    $H+ $I+

    $G+ $J+

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    Phnf ' 99

    Jkyfgzkocw 1 $8= zo 90+Kc zdf mollo~kcn xvfwzkocw cvbifyw

    hyf ~ykzzfc kc h wfxvfcgf# Mkcj zdf bkwwkcn

    cvbify zo yfplhgf zdf xvfwzkoc bhye myob zdf

    hlzfychzk}fw#

    8=# :40, :40, 9:0, 40, 90, ?

    $H+ : $I+ 8

    $G+ 6 $J+ 80

    8># 8, 8, 9, 9, 7, :, :, 4, 6, 8=, ?

    $H+ = $I+ 79

    $G+ 4 $J+ >

    84# 9, 6, 88, 97, :>, ?

    $H+ ;9 $I+ ;0

    $G+ ;6 $J+ ;8

    8;# 89, 98, 97, 79, 7:, :7, :6, ?

    $H+ 6: $I+ :4

    $G+ >> $J+ ;

    90# 8:, 8, 98, :, 94, ;, ?,?

    $H+ ;, :9 $I+ 8=, 76

    $G+ 76, 8= $J+ 8=, 7=

    Jkyfgzkocw 1 $98 zo 96+Kc zdf mollo~kcn xvfwzkocw, movy

    mknvyfw hyf nk}fc# Zdyff om zdfb hyf hlkef kc h

    gfyzhkc ~h{ hcj ocf kw jkmmfyfcz# Mkcj zdf ojj

    ocf myob zdf hlzfychzk}fw#

    98# $H+ $I+

    $G+ $J+

    99# $H+ $I+

    $G+ $J+

    97# $H+ $I+

    $G+ $J+

    mvcwQ.e 1 $8= lw 90+mvFv kq.vewh fwh lh U5e,wh ,j f fwh m{Ued tiQ

    nWhH mc5w nx, moj[kewh fwh lw bl {xKy lhU5e jew Eey

    jdmz5w zew kq.v mpVns jw LMeev ka }e5wtdH

    8=# :40, :40, 9:0, 40, 90, ?

    $H+ : $I+ 8

    $G+ 6 $J+ 80

    8># 8, 8, 9, 9, 7, :, :, 4, 6, 8=, ?

    $H+ = $I+ 79

    $G+ 4 $J+ >

    84# 9, 6, 88, 97, :>, ?

    $H+ ;9 $I+ ;0

    $G+ ;6 $J+ ;8

    8;# 89, 98, 97, 79, 7:, :7, :6, ?

    $H+ 6: $I+ :4

    $G+ >> $J+ ;

    90# 8:, 8, 98, :, 94, ;, ?,?

    $H+ ;, :9 $I+ 8=, 76

    $G+ 76, 8= $J+ 8=, 7=

    mvcwQ.e 1 $98 lw 96+mvFv kq.vewh fwh pea }ejmy5e cd tiQ nWhH

    bvfwh lw ydv mv5y kqjea lfev nWh mjVyx ,j mDeVv nWH

    mc5w nx, moj[kewh fwh lw }lhty }ejmy jew Eey jdmz5wH

    98# $H+ $I+

    $G+ $J+

    99# $H+ $I+

    $G+ $J+

    97# $H+ $I+

    $G+ $J+

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    Phnf ' 97

    9:# $H+ $I+

    $G+ $J+

    96# $H+ $I+

    $G+ $J+

    Jkyfgzkocw 1 $9= zo 78+Kc zdf mollo~kcn xvfwzkocw : kzfbw$~oyj/lfzzfyw/glvwzfyw/cvbifyw+ hyf nk}fc# Zdyffom zdfb hyf hlkef kc h gfyzhkc ~h{ hcj ocf kw

    jkmmfyfcz# Mkcj zdf ojj ocf ovz myob zdfhlzfychzk}fw#

    9=# $H+ Fhy $I+ Cowf

    $G+ Zdyohz $J+ Zocnvf

    9># $H+ Bhzdfbhzkgw $I+ Hykzdbfzkg

    $G+ Hlnfiyh $J+ Nfobfzy{

    94# $H+ G T J $I+ N Z D W

    $G+ F ] M V $J+ X A Y E

    9;# $H+ [ T ] Z $I+ N F G H

    $G+ ] Z Y P $J+ D M J I

    70# $H+ 6 1 9> $I+ 7 1 4

    $G+ = 1 76 $J+ : 1 86

    78# $H+ =:, 4, 9> $I+ 7:;, =96, 69:

    $G+ 689, 8000, 98= $J+ 896, 98=, >9;

    Jkyfgzkocw 1 $79 zo 76+Kc zdf mollo~kcn xvfwzkocw h phzzfyckw nk}fc ~kzd h phyz bkwwkcn ~dkgd kw kcjkghzfji{ h xvfwzkoc bhye# Mkcj ovz myob zdf hlzfychzk}fmknvyfw zdf phyz ~dkgd ~ovlj no kc plhgf om zdfxvfwzkoc bhye zo gobplfzf zdf phzzfyc#

    79#?

    $H+ $I+

    $G+ $J+

    9:# $H+ $I+

    $G+ $J+

    96# $H+ $I+

    $G+ $J+

    mvcwQ.e 1 $9= lw 78+mvFv kq.vewh fwh pea kc $.eGc/}uea/lf~n/lhU5e,wh+ mc5w t5w nWH bvfwh lw ydv ,j kqjea lfev nWhmjVyx ,j mDeVv nWhH mc5w nx, moj[kewh fwh lw }lhty kc

    jew Eey jdmz5wH

    9=# $H+ jev $I+ vej$G+ t{e $J+zdDe

    9># $H+ tm#ey $I+ }hj tm#ey$G+ gdz tm#ey $J+ awUee tm#ey

    94# $H+ G T J $I+ N Z D W$G+ F ] M V $J+ X A Y E

    9;# $H+ [ T ] Z $I+ N F G H

    $G+ ] Z Y P $J+ D M J I

    70# $H+ 6 1 9> $I+ 7 1 4

    $G+ = 1 76 $J+ : 1 86

    78# $H+ =:, 4, 9> $I+ 7:;, =96, 69:

    $G+ 689, 8000, 98= $J+ 896, 98=, >9;

    mvcwQ.e 1 $79 lw 76+mvFv kq.vewh fwh ,j vf~ve mc5e t5e nWhmzlje ,j Deet {xKy nWh }eWa blw kq.v mpVns lw ihmtymj5e t5e nWhH bl vf~vw jew k~ae javw jw m{5w mc5w nx,moj[kewh fwh lw kq.v mpVns jw LMeev ka zew }ejmy }e5wtdblw Eey jdmz5wH

    79#?

    $H+ $I+

    $G+ $J+

  • 8/7/2019 NTSE STAGE 2 - MAT Paper-2007

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    Phnf ' 9:

    77#

    ?

    $H+ $I+

    $G+ $J+

    7:#

    ?

    $H+ $I+

    $G+ $J+

    76#

    $H+ $I+

    $G+ $J+

    Jkyfgzkocw 1 $7= zo 7;+Kc zdf mollo~kcn xvfwzkocw zdfgfllw om h wxvhyf hyf mkllfj ~kzd lfzzfyw ~kzd ocflfzzfy bkwwkcn kc h gfll# Mkcj myob zdf hlzfychzk}fwzdf bkwwkcn lfzzfy#

    7=#

    I [ TJ ^ ?M V Z

    $H+ ] $I+ G$G+ V $J+ F

    7>#

    Q I T[ G ]? J Z

    $H+ ^ $I+ T$G+ [ $J+ Q

    74#

    F ? OG D BH M E

    $H+ L $I+ A$G+ N $J+ C

    77#

    ?

    $H+ $I+

    $G+ $J+

    7:#

    ?

    $H+ $I+

    $G+ $J+

    76#

    $H+ $I+

    $G+ $J+

    mvcwQ.e 1 $7=lw 7;+mvFv kq.vewh fwh ,j otQ jw Ue#B%ewh jew }ueaewhlw Deae t5e nW }eWa ,j Ue#B% fwh }uea {xKy nWhH mc5w nx,wmoj[kewh fwh lw bl {xKy }uea jew Eey jdmz5wH

    7=#

    I [ TJ ^ ?M V Z

    $H+ ] $I+ G$G+ V $J+ F

    7>#

    Q I T[ G ]? J Z

    $H+ ^ $I+ T$G+ [ $J+ Q

    74#

    F ? OG D BH M E

    $H+ L $I+ A$G+ N $J+ C

  • 8/7/2019 NTSE STAGE 2 - MAT Paper-2007

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    Phnf ' 96

    7;#

    C O PW Y ?Z V ]

    $H+ Z $I+ E$G+ M $J+ X

    :0# Kc zdf mollo~kcn xvfwzkoc, h pyoilfb mknvyf kw

    nk}fc# H phyz om zdkw mknvyf ghc if wffc kc ocf omzdf mknvyfw nk}fc hw hlzfychzk}fw# Mkcj zdhz mknvyf#

    $H+ $I+

    $G+ $J+

    Jkyfgzkocw 1 $:8 zo :9+ 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#

    :8#

    $H+ $I+

    $G+ $J+

    :9#

    $H+ $I+

    $G+ $J+

    7;#

    C O PW Y ?Z V ]

    $H+ Z $I+ E$G+ M $J+ X

    :0# mvFv kq.v fwh ,j kq.v }ejmy cd tiQ nWhH il }ejmy

    je ,j Deet moj[kewh fwh lw ,j jd }ejmy jd yan cwUeeze ljye nWhH bl }ejmy jew Eey jdmz5wH

    $H+ $I+

    $G+ $J+

    mvcwQ.e 1 $:8 lw :9+mvFv kq.vewh fwh ,j kq.v }ejmy cd tiQ nWhH

    5n kq.v }ejmy mc5w nx, moj[kewh jd }ejmy5ewh fwh lw

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

    kq.v }ejmy mCkd nxiQ nWhH

    :8#

    $H+ $I+

    $G+ $J+

    :9#

    $H+ $I+

    $G+ $J+

  • 8/7/2019 NTSE STAGE 2 - MAT Paper-2007

    9/15

    Phnf ' 9=

    Jkyfgzkocw 1 $:7 zo ::+^dkgd om zdf mollo~kcn mknvyfw$nk}fc hw hlzfychzk}fw+ ~ovlj if moybfj i{ aokckcnzdf movy pkfgfw / ilogew om mknvyfw nk}fc iflo~ ?

    :7#

    $H+ $I+

    $G+ $J+

    ::#

    $H+ $I+

    $G+ $J+

    Jkyfgzkocw 1 $:6 zo :;+Do~ bhc{ zykhcnlfw hyf zdfyf kczdf mollo~kcn mknvyfw ?

    :6#

    $H+ 80 $I+ 8=$G+ 8: $J+ 89

    :=#

    $H+ 98 oy boyf $I+ 87 zo 90$G+ = zo ; $J+ 80 zo 89

    :>#

    $H+ 8: oy boyf $I+ 89 zo 87$G+ 80 zo 88 $J+ > zo ;

    mvcwQ.e 1 $:7 lw ::+vdpw mc5w nx, pea ]xjB%ewh@Ue#B%ewh jew zewB%vwlw moj[k jw 1k fwh cd nxiQ }ejmy5ewh fwh lw jeWvld gvwtd?

    :7#

    $H+ $I+

    $G+ $J+

    ::#

    $H+ $I+

    $G+ $J+

    mvcwQ.e 1 $:6 lw :;+mvFv }ejmy5ewh fwh mjyvw m2eDexz nWh ?

    :6#

    $H+ 80 $I+ 8=$G+ 8: $J+ 89

    :=#

    $H+ 98 5e }m/ej $I+ 87 lw 90$G+ = lw ; $J+ 80 lw 89

    :>#

    $H+ 8:5e }m/ej

    $I+ 89lw

    87

    $G+ 80 lw 88 $J+ > lw ;

    mailto:VqdM+ksa@[k.M+ksa
  • 8/7/2019 NTSE STAGE 2 - MAT Paper-2007

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    Phnf ' 9>

    :4#

    $H+ 80 $I+ 89

    $G+ 86 $J+ 87

    :;#

    $H+ 88 oy boyf $I+ 80$G+ ; $J+ 4 oy lfww

    Jkyfgzkocw 1 $60 zo 69+Wzvj{ zdf hyyhcnfbfcz om lfzzfywkc zdf moyb om h p{yhbkj hcj hcw~fy zdf

    xvfwzkocw zdhz mollo~#

    hig j

    f m n d kae lbco p

    x yw z v }~t{q

    60# flv 1 hjk 1 1 ? 1 hif$H+ mb} $I+ jnl$G+ dbz $J+ kcv

    68# mlz 1 elb 1 1 ko~ 1 ?$H+ dc} $I+ bco$G+ cop $J+ nbv

    69# { t p 1 x y a 1 1 fel 1 ?$H+ d b c $I+ k o c$G+ f e a $J+ k e y

    Jkyfgzkocw 1 $67 zo 6>+Zdf mollo~kcn xvfwzkocw hyf ihwfjoc zdf jkhnyhb nk}fc iflo~# Kc zdf jkhnyhb, gkyglfyfpyfwfczw zhll gdkljyfc, zdf wxvhyf, oifwfgdkljyfc, yfgzhcnlf, zdf fcfynfzkg gdkljyfc hcjzdf zykhcnlf, nkyl gdkljyfc# Wzvj{ zdf jkhnyhb hcjhcw~fy zdf xvfwzkocw zdhz mollo~#

    Fcfynfzkg

    Oifwf

    Nkylw

    Zhll

    486

    88

    80

    ;:

    7

    9 8 =

    6

    >

    89

    878:

    :4#

    $H+ 80 $I+ 89

    $G+ 86 $J+ 87

    :;#

    $H+ 88 5e }m/ej $I+ 80$G+ ; $J+ 4 5e jf

    mvcwQ.e 1 $60 lw 69+,j mkamfB% jw 1k fwh zfe5w t5w }ueaewh je}/55v jdmz5w }eWa }vxtefd kq.vewh jw bea cdmz5wH

    hig j

    f m n d kae lbco p

    x yw z v }~t{q

    60# flv 1 hjk 1 1 ? 1 hif

    $H+ mb} $I+ jnl

    $G+ dbz $J+ kcv

    68# mlz 1 elb 1 1 ko~ 1 ?$H+ dc} $I+ bco

    $G+ cop $J+ nbv

    69# { t p 1 x y a 1 1 fel 1 ?

    $H+ d b c $I+ k o c

    $G+ f e a $J+ k e y

    mvcwQ.e 1 $67 lw 6>+vdpw cd nxiQ }ejmy ka mvFv kq.v }e/eemaynWhH }ejmy fwh oe {Fgw $Zhll+ ge{jewh jewR otQ few]w$LMe ~{+ $Oifwf+ ge{jew h jewR }e5y LX~myQf5$Fcfynfzkg+ ge{jewh jew }eWa m2eDexz gem{je}ewh$Nkylw+jew mv1mky jayw nWhH }ejmy je }/55v jdmz5w }eWa}vxtefd kq.vewh jw bea cdmz5wH

    Fcfynfzkg

    Oifwf

    Nkylw

    Zhll

    486

    88

    80

    ;:

    7

    9 8 =

    6

    >

    89

    878:

  • 8/7/2019 NTSE STAGE 2 - MAT Paper-2007

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    Phnf ' 94

    67# ^dkgd hyfh yfpyfwfczw nkylw ~do hyf zhll hcj

    oifwf ivz coz fcfynfzkg ?

    $H+ 9 $I+ 7

    $G+ : $J+ 6

    6:# ^dkgd om zdf mollo~kcn hyfhw yfpyfwfczw zdf zhll,

    oifwf hcj fcfynfzkg nkylw ?

    $H+ Ocl{ 7 $I+ 7 hcj :

    $G+ 9 hcj 7 $J+ 9, 7 hcj :

    66# ^dkgd om zdf mollo~kcn hyfh yfpyfwfczw gdkljyfc~do hyf zhll, oifwf hcj fcfynfzkg ivz hyf coznkylw ?$H+ 7 $I+ 9$G+ : $J+ ;

    6=# ^dkgd hyfhw yfpyfwfcz fcfynfzkg gdkljyfc ~do

    hyf coz oifwf ?

    $H+ 8, 87 hcj 86 $I+ 87 hcj 86

    $G+ 8, 88 hcj 86 $J+ =, 87 hcj 86

    6># ^dkgd om zdf mollo~kcn hyfhw yfpyfwfcz oifwfhcj fcfynfzkg gdkljyfc, ~do hyf cfkzdfy nkylw coyzhll ?$H+ 9 hcj 89 $I+ 7 hcj 80$G+ 9 hcj 7 $J+ 88 hcj 89

    64# Do~ bhc{ g.w hyf zdfyf kc ifz~ffc z~ogocwochczw kc zdf mollo~kcn wfykfw ?g h i g j g j g f g m g o g k g a g e g g e$H+ : $I+ 6$G+ = $J+ 88

    6;# Do~ bhc{ zkbfw .%. gobfw ifmoyf .. hcj hmzfy.. ?

    %

    V

    % % % % V % V % V % V V %

    % % % $H+ = $I+ 6$G+ : $J+ >

    =0# Do~ bhc{ ;.w hyf zdfyf ~dkgd gobf hmzfy = oybvlzkplf om 7 ?= ; ; ; = ; > ; = ; > ; 6 ; 9 ; 4 ; = ; = ; ; ; ;> ; 4 ; = ; > 4$H+ > $I+ ;$G+ 88 $J+ =

    Jkyfgzkocw 1 $=8 zo =9+Kc zdf mollo~kcn xvfwzkocw z~omknvyfw hyf nk}fc hw pyoilfb mknvyfw# dkgd omzdf mollo~kcn hlzfychzk}f mknvyfw ~ovlj if moybfjkm zdf mkywz mknvyf kw wvpfykbpowfj oc zdf wfgocjmknvyf ?

    =8#

    $H+ $I+

    $G+ $J+

    67# {Fgd }eWa few]d gem{je}ewh jewR zew LX~myQf5 vndh nWhRjeWv le uew2e mv1mky jaye nWh ?$H+ 9 $I+ 7$G+ : $J+ 6

    6:# mvFv fwh lw jeWvlw uew2e {FgdR few]d }eWa LX~myQf5gem{je}ewh jew mv1mky jayw nWh ?$H+ jwo{ 7 $I+ 7 }eWa :$G+ 9 }eWa 7 $J+ 9, 7 }eWa :

    66# mvFv fwh jeWvle uew2e {FgwR few]w }eWa LX~myQf5 ge{jewh

    jewR {wmjv zew gem{je5wh vndh nWhR mv1mky jaye nWh?$H+ 7 $I+ 9

    $G+ : $J+ ;

    6=# jeWv lw uew2e LX~myQf5 ge{jewh jewR zew few]w vndh nWhRmv1mky jayw nWh ?$H+ 8, 87 }eWa 86 $I+ 87 }eWa 86$G+ 8, 88 }eWa 86 $J+ =, 87 }eWa 86

    6># mvFv fwh lw jeWvlw uew2e few]w }eWa LX~myQf5 ge{jewh jewRzew v yew gem{je5wh nWh }eWa v {Fgw nWhR mv1mky jayw nWh?$H+ 9 }eWa 89 $I+ 7 }eWa 80$G+ 9 }eWa 7 $J+ 88 }eWa 89

    64# mvFv Awh#ed fwh cew O5hzvewh jw gdp fwh mjyvw g nWh?g h i g j g j g f g m g o g k g a g e g g e

    $H+ : $I+ 6

    $G+ = $J+ 88

    6;# .. jw kn{w }eWa .. jw gec .%. mjyvd gea }eye nWh ?% V % % %

    % V % V %

    V % V V %

    % % %

    $H+ = $I+ 6

    $G+ : $J+ >

    =0# mvFv kq.v fwh mjyvw.;. nWh zew=jw gec 5e 7 jw tx#ee jwgec }eyw nWh ?= ; ; ; = ; > ; = ; > ; 6 ; 9 ; 4 ; = ; = ; ; ; ;> ; 4 ; = ; > 4$H+ > $I+ ;$G+ 88 $J+ =

    mvcwQ.e 1 $=8 lw =9+mvFv kq.vewh fwh cew kq .v }ejmy5e cd tiQ nWhH5mc kqMef }ejmy je w mryd5 }ejmy ka }/5eaew mky$ka aUeve+ja cd ze5w yew mvFv oWjm[kj }ejmy5ewhfwh lw jeWvld gvwtd ?

    =8#

    $H+ $I+

    $G+ $J+

  • 8/7/2019 NTSE STAGE 2 - MAT Paper-2007

    12/15

    Phnf ' 9;

    =9#

    $H+ $I+

    $G+ $J+

    =7# Wd{hbh yhcefj 89zd myob zdf zop hcj 94zd myobzdf iozzob hbocn zdowf gdkljyfc ~do phwwfjzdf fthbkchzkoc# Fkndz gdkljyfc mhklfj kc zdffthbkchzkoc ~dklf mk}f gdkljyfc jkj coz hppfhy kczdf fthbkchzkoc# Do~ bhc{ gdkljyfc ~fyf zdfyfkc zdf glhww ?$H+ 60 $I+ 68$G+ 69 $J+ 67

    =:# Zdfyf hyf movy mknvyfw, zdyff om ~dkgd ~ovlj moyb

    h gobplfzf wxvhyf# Gdoowf zdf zdyff myobhbocn zdf hlzfychzk}fw#

    $H+ $I+ $G+ $J+

    $H+ IGJ $I+ HIG$G+ HGJ $J+ HIJ

    =6# Zdf hlpdhifzw h, i, g, j, f, m, n, d hcj k hyf

    hwwkncfj cvbifyw 8 zo ; ivz coz kc zdhz oyjfy#

    Cvbify = kw hwwkncfj zo hlpdhifz m# Zdf

    jkmmfyfcgf ifz~ffc m hcj g kw 7 hcj zdf jkmmfyfcgf

    ifz~ffc f hcj g kw :# ^dhz kw zdf cvbify

    hwwkncfj zo .f. ?

    $H+ cfkzdfy 9 coy 7 $I+ fkzdfy 9 oy 7

    $G+ cfkzdfy 6 coy > $J+ fkzdfy 6 oy >

    ==# Km {ov ~ykzf hll zdf cvbifyw myob 908 zo 960,

    zdfc do~ bhc{ zkbfw ~kll {ov ~ykzf zdf cvbfyhl

    .9. ?

    $H+ >0 $I+ =6

    $G+ 96 $J+ 40

    =># Kc zdf mollo~kcn xvfwzkoc wobf cvbifyw hyf nk}fc

    kc zdf wdhpf om mknvyfw

    2 9, 2 6, % 2 >,

    2 84

    ^dhz kw zdf }hlvf om ?

    $H+ ; $I+ =$G+ 7 $J+ 9

    =4# Kc h nyovp om gdkljyfc, fhgd gdklj nk}fw h nkmz zof}fy{ ozdfy# Km zdf cvbify om nkmzw kw ;0, do~bhc{ gdkljyfc hyf zdfyf ?$H+ 80 $I+ 88$G+ 4 $J+ ;

    =9#

    $H+ $I+

    $G+ $J+

    =7# kaduee fwh bed#eQ ge{jewh fwh .5efe jd khmg+ye ka

    lw 89 odh }eWa vdpw lw 94 odh MedH }eI ge{j }vxedQ#e

    nx, zgmj kep ge{jewh vw kaduee vndh cdH juee fwh mjyvw

    ge{j Mew ?$H+ 60 $I+ 68

    $G+ 69 $J+ 67

    =:# pea }ejmy5e h nWhR bvfwh lw ydv lw ,j k~#eQ otQ gvye

    nWhH cd nxiQ oWjm[kj }ejmy5ewh fwh lw bv ydv jew pxmv5wH

    $H+ $I+ $G+ $J+

    $H+ IGJ $I+ HIG

    $G+ HGJ $J+ HIJ

    =6# o#eQfe{e jw }ueaewh h, i, g, j, f, m, n, d }eWa k jw m{5w

    8 lw ; yj jd lhU5e,wh mv/eeQmay jd tiQ nWhH {wmjv bld

    f fwh vndh nWhH m jw m{5w lhU5e = mv5y jd tiQ nWhH m}eWa g fwh }Vya 7 nW yMee f }eWa g fwh }Vya : nWhH f jw

    m{5w jeWvld lhU5e mv/eeQmay jd tiQ nWh ?

    $H+ v yew 9 v 7 $I+ 5e yew9 5e 7$G+ v yew 6 v > $J+ 5e yew 6 5e >

    ==# 5mc }ek 908 lw 960 yj lDed lhU5e}ewh jew m{Uewh yew

    lhU5e 9 jew }ek mjyvd gea m{Uewhtw ?

    $H+ >0 $I+ =6

    $G+ 96 $J+ 40

    =># mvFv kq.v fwh jxC lhU5e}ewh jew }ejmy5ewh jw 1k fwh mc5et5e nWhH

    2 9, 2 6, % 2 >,

    2 84

    je fev nWh ?$H+ ; $I+ =

    $G+ 7 $J+ 9

    =4# ge{jewh jw ,j lf~n fwh kqY5wj ,j c~law jew bknea cwyenWhH 5mc jx{ bkneaewh jd lhU5e ;0 nW yew jx{ mjyvwge{j nWh ?

    $H+ 80 $I+ 88$G+ 4 $J+ ;

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    Phnf ' 70

    =;# Km H % I bfhcw H kw zdf iyozdfy om I, H I

    bfhcw H kw zdf mhzdfy om I, H I bfhcw H kw zdf

    ~kmf om I, zdfc P Y W % Z bfhcw

    $H+ P kw zdf bozdfy om Z

    $I+ Z kw zdf wkwzfy om P

    $G+ Y kw zdf nyhcj mhzdfy om Z

    $J+ Z hcj Y hyf wkwzfyw

    Jkyfgzkocw 1 $>0 zo >8+Kc zdf mollo~kcn xvfwzkocw, ~dkgd

    om zdf mollo~kcn kczfygdhcnfw om wknc/wkncw hcj

    cvbfyhlw ~ovlj bhef zdf mollo~kcn fxvhzkoc

    goyyfgz ?

    >0# = : 4 2 = 7

    $H+ hcj $I+ hcj

    $G+ hcj $J+ 2 hcj

    >8# 7 % 6 9 2 :

    $H+ % hcj 5 9 hcj 7 $I+ % hcj 5 9 hcj 6

    $G+ Ocl{ % hcj $J+ % hcj , 7 hcj 6

    Jkyfgzkocw 1 $>9 zo >:+Zdf ~oyjw kc Golvbc"K hyf gojfjkc wbhll lfzzfyw, ~dkgd hyf ~ykzzfc kc golvbc"KK,

    ivz zdf oyjfy om wbhll lfzzfyw kw jkmmfyfcz# Jfgojf

    zdf ~oyjw zo mkcj ovz zdf gojfw moy zdf lfzzfyw

    hcj hcw~fy zdf xvfwzkocw zdhz mollo~ 1

    Golvbc"K

    ZYHKC p i y w c

    y b c j p

    y g p j

    i p b j

    GYHCF

    JFHY

    YKGF

    Golvbc"KK

    >9# Do~ ~ovlj zdf ~oyj FHY if gojfj ?$H+ y j b $I+ j y p$G+ p y w $J+ j y c

    >7# ^dkgd kw zdf gojf moy zdf ~oyj .CFHZ. ?$H+ c j y w $I+ c j y b$G+ b j y w $J+ c y j p

    >:# ^dkgd kw zdf gojf moy zdf ~oyj .ZYFHJ. ?$H+ w p j y b $I+ w p y j c$G+ y w p y g $J+ w p j y g

    >6# Km GLOZD kw ghllfj NOLJ hcj NOLJ kw ghllfj

    PHPFY hcj PHPFY kw ghllfj GHEF, zdfcAF^FLLFY[ ~ovlj if bhjf vp om ?

    $H+ Nolj $I+ Glozd

    $G+ Ghef $J+ Phpfy

    Jkyfgzkocw 1 $>= zo 40+Kc zdf mollo~kcn xvfwzkocw, {ovdh}f zo }kwvhlkqf zdf kbhnf om zdf kzfb $Lfzzfy/~oyj/cvbify/mknvyf+ kc zdf ~hzfy# Zdf ~hzfywovygf kw iflo~ zdf kzfb# Gdoowf zdf ~hzfykbhnf myob zdf hlzfychzk}fw#

    >=#

    $H+ $I+$G+ $J+

    =;# 5mc H % I je }MeQ nWh H DeeiQ nWh I jeR H I je }MeQnWh H mkye nWh I je, H I je }MeQ nWh H kYvd nWh I jd,yg P Y W % Z je }MeQ nWhH$H+ P fe nWh Z jd$I+ Z gmnv nWh P jd$G+ Y cece nW Z jw$J+ Z

    }eWaY

    gmnvwh nWhmvcwQ.e 1 $>0 lw >8+mvFv kq.vewh fwh mc5w nx, moj[kewh fwh lw jeWv

    lw mpVns@mpVnewhs }eWa }hjew jw }c{-gc{ lfdja#e jewlnd ja cwhtw ?

    >0# = : 4 2 = 7

    $H+}eWa $I+ }eWa$G+}eWa $J+ 2 }eWa

    >8# 7 % 6 9 2 :

    $H+ % }eWa 5 9 }eWa 7 $I+ % }eWa 5 9 }eWa 6$G+ jwo{ % }eWa $J+ % }eWa, 7 }eWa 6

    mvcwQ.e 1 $>9 lw >:+je^{f"Kfwh mc5w t5w .eGcewh jew je^{f"KK fwhCew]w lhjwyeueaewh fwh m{Uee t5e nWh, mjVyx Cew]w }ueaewh jef mDeVv nWhH .eGcewh jw lhjwyeueaewh jew k9# FHY .eGc je lhjwy J5e newte ?$H+ y j b $I+ j y p$G+ p y w $J+ j y c

    >7# CFHZ .eGc jw m{5w lhjwy J5e nWh ?$H+ c j y w $I+ c j y b$G+ b j y w $J+ c y j p

    >:# ZYFHJ .eGc je lhjwy J5e nWh ?$H+ w p j y b $I+ w p y j c$G+ y w p y g $J+ w p j y g

    >6# 5mc jkB%w jewlewve jne ze5wR lewvw jewkwka jne ze5w

    }eWa kwka jew jwjjne ze5w yew tnvwh mjljw gvwh newywnWh ?$H+lewve $I+jkB%e$G+jwj $J+ kwka

    mvcwQ.e 1 $>= lw 40+mvFv kq.vewh fwh }ekjew kc $}uea/.eGc/lhU5e/}hj+jw kqmymgFg je kevd fwh c)]ehjv jave nWhH kevdkc jw vdpw nWhH moj[kewh fwh lw z{ fwh kqmymgFg jewpxmv5wH

    >=#

    $H+ $I+$G+ $J+

  • 8/7/2019 NTSE STAGE 2 - MAT Paper-2007

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    Phnf ' 78

    >>#

    $H+ $I+$G+ $J+

    >4#

    $H+ $I+$G+ $J+

    >;#

    $H+ $I+

    $G+ $J+

    40#

    $H+ $I+$G+ J $J+

    Jkyfgzkocw 1 $48 zo 46+Zdf mollo~kcn xvfwzkocw hyf ihwfjom zdf kcmoybhzkoc nk}fc# Wzvj{ zdf kcmoybhzkocghyfmvll{ hcj hcw~fy zdf xvfwzkocw#K# Zdfyf hyf mk}f wzvjfczw L, B, C, O hcj P

    kc h glhwwKK# L wzvjkfw Pd{wkgw, Fcnlkwd hcj Gdfbkwzy{KKK# B hcj C wzvj{ Gdfbkwzy{ hcj

    Pw{gdolon{K]# O hcj L wzvj{ Ikolon{ hcj Whcweykz]# P hcj B wzvj{ Dkcjk hcj Fcnlkwd

    48# ^do hbocn zdf mollo~kcn wzvjfczw wzvjkfwbhtkbvb cvbify om wviafgzw ?$H+ O $I+ C$G+ L $J+ P

    49# ^dkgd wviafgz kw wzvjkfj i{ ocl{ ocf wzvjfcz ?

    $H+ Ikolon{ $I+ Dkcjk

    $G+ Pd{wkgw $J+ Whcweykz

    47# ^dkgd z~o wviafgzw hyf wzvjkfj i{ boyf zdhc 9

    wzvjfczw ?

    $H+ Fcnlkwd hcj Dkcjk

    $I+ Gdfbkwzy{ hcj Dkcjk

    $G+ Pd{wkgw hcj Whcweykz

    $J+ Gdfbkwzy{ hcj Fcnlkwd

    4:# ^do hyf zdf wzvjfczw wzvj{kcn ocl{ z~o wviafgzw ?

    $H+ L hcj O $I+ O hcj P

    $G+ L hcj P $J+ B hcj C

    46# ^do hyf coz wzvj{kcn Ikolon{, Whcweykz hcj

    Pd{wkgw ?

    $H+ B, C hcj P ocl{ $I+ C hcj O ocl{$G+ B hcj C ocl{ $J+ B, C hcj O ocl{

    >>#

    $H+ $I+$G+ $J+

    >4#

    $H+ $I+$G+ $J+

    >;#

    $H+ $I+

    $G+ $J+

    40#

    $H+ $I+$G+ J $J+

    mvcwQ.e 1 $48 lw 46+cd nxiQ l~pve ka mvFv kq.v }e/eemay nWhHl~pve je leo/eevd lw }/55v jdmz5w }eWa kq.vewh jwbea cdmz5wHK# ,j juee fwh kep mo|eMedQL, B, C, O }eWa P nWhHKK# L DeeWmyjdR }htqwzd }eWa ale5v.eeL2e k

  • 8/7/2019 NTSE STAGE 2 - MAT Paper-2007

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    Phnf ' 79

    Jkyfgzkocw 1 $4= zo ;0+Kc fhgd om zdf mollo~kcn xvfwzkocw,phzzfycw om gkyglfw hyf vwfj zo yfpyfwfczyflhzkocwdkp hbocn jkmmfyfcz kzfbw# Fhgd gkyglfyfpyfwfczw hc kzfb# ^dkgd om zdf phzzfycwyfpyfwfczw zdf yflhzkocwdkp hbocn zdf kzfbwnk}fc kc zdf xvfwzkoc ?

    4=# Jogzoyw, Fcnkcffyw, Lh~{fyw

    $H+ $I+

    $G+ $J+

    4># Iooew, Cf~wphpfy, oyjw

    $H+ $I+

    $G+ $J+

    44# Io{w, Wzvjfczw, Plh{fyw

    $H+ $I+

    $G+ $J+

    4;# Hckbhlw, Go~w, Nyhww"fhzkcn hckbhlw

    $H+ $I+

    $G+ $J+

    ;0# Bhbbhlw, Zknfyw, Go~w

    $H+ $I+

    $G+ $J+

    mvcwQ.e 1 $4= lw ;0+mvFv kqY5wj kq.v fwh oeew h jw vf~vewh lw momDeVvkcewh fwh lFgV/e jew mv1mky mj5e t5e nWhH kqY5wj oe ,jkc jew mv1mky jaye nWhH kq.v fwh mc5w t5w kcewh fwhl FgV/eewhj ewj eWvl evf~ve mv1 mk y j a y enWh?

    4=# BeJ]a, ihzdmv5a, ojd{

    $H+ $I+

    $G+ $J+

    4># kxLyjwh, }Uegea, .eGc

    $H+ $I+

    $G+ $J+

    44# {B%jw, mo|eMedQ, mUe{eB%d

    $H+ $I+

    $G+ $J+

    4;# k.ex, te5wh, ?eel-Ueevw oe{w k.ex

    $H+ $I+

    $G+ $J+

    ;0# Lyvke5d kqe#ed, ge?e, te5wh

    $H+ $I+

    $G+ $J+