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8/3/2019 NEW KVPY Stream-SA Paper Sol. (2007 t o 2010)
1/86
@V\U \C\K^W & WJI[]EJDW
JF ICW] = UKC^W
]J MJXD IJCM VEWE] 2a}}|2**mi|m$~kwjdcdgk$cg$ed
EE]/BKK y CE\O] y CEKKK y JIUO \ECMW y @V\U y D]WK
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8/3/2019 NEW KVPY Stream-SA Paper Sol. (2007 t o 2010)
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HKDK^CI EDW]^[G]EJDW FJ^ @V\U ]KW] \C\K^UKC^ 2 >
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3\CHK ' 3
\C^]/E !3 Oc~`%OC]AKOC]EGW
3$ Ik} w3!d% nk }ak w{o jf }ak fe~w} d }k~ow jf }ak c~e}aok}eg |~jh~kwwejd 1) 3>) 36) $$$$$$$ cdm ik} w
>!d% nk }ak
w{o jf }ak fe~w} d }k~ow jf c~e}aok}eg |~jh~kwwejd 38) 35) >3 $$$$$$$$$ Ef fj~ wjok vci{k jf d) w3!d% ? w
>!d% }akd
}aew gjoojd w{o ew 2
!C% dj} {des{kiu mk}k~oedcnik !N% >636 !M% >$ ]ak d{onk~ jf wji{}ejdw c~k ed P_ w{ga }ac} !wed!>q%%= ? 3*1 ew
!C% > !N% = !G% 1 !M% 36
7$ ]ak wk} jf ~kci d{onk~w ~ wc}ewfuedh 2
>
ew
!C% }ak wk} jf cii ~kci d{onk~w
!N% }ak wk} jf cii |jwe}evk ~kci d{onk~w
!G% }ak wk} jf cii ~kci d{onk~w w}~eg}iu nk}xkkd 3 cdm ;*7
!M% }ak wk} jf cii ~kci d{onk~w xaega c~k ke}ak~ ikww }acd 3 j~ h~kc}k~ }acd ;*7
=$ Ef c) n cdm g c~k mew}edg} ~kci d{onk~w w{ga }ac} c 2 !n + g% ? n 2 !g + c% }akd
!C% c) n) g c~k cii |jwe}evk !N% c) n) g c~k cii dkhc}evk
!G% c + n + g ? < !M% cn + ng + gc + 3 ? !G% = !M% edfede}k
6$ Ik} Pq_ mkdj}k }ak h~kc}kw} ed}khk~ |c~} jf c ~kci d{onk~ q$ Ef
=
>
dO
}akd O ks{ciw
!C% ;8< !G% ;8=< !M% 33 + nq + g
acw 7 mew}edg} ~jj}w fj~ g ?
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>\CHK ' >
1$ Hevkd c wkoege~gik jf ~cme{w 3) ik} c nk }ak wemk jf cd ks{eic}k~ci }~ecdhik xaega ew edwg~enkm ed }ak
wkoege~gik xe}a e}w vk~}egkw jd }ak nj{dmc~u jf }ak wkoege~gik !nj{dmc~u edgi{mkw }ak nj{dmedh mecok}k~
ciwj%$ ]akd }ak wk} jf |jwwenik vci{kw jf c ew
!C% p3
!N% p3)7
>
!G% }ak wk} jf cii |jwe}evk ~kci d{onk~w dj} kqgkkmedh7
>
!M% }ak wk} jf cii ~kci d{onk~w xaega c~k h~kc}k~ }acd j~ ks{ci }j 3) n{} ikww }acd j~ ks{ci }j7
>
5$ C ~cu jf ieha} j~ehedc}edh c} }ak vk~}kq C jf c ws{c~k CNGM |cwwkw }a~j{ha }ak vk~}kq N cf}k~ hk}}edh
~kfikg}km nu NG) GM cdm MC ed }ac} j~mk~$ Ef ew }ak cdhik jf }ak ede}eci |jwe}ejd jf }ak ~cu xe}a CN }akd wed
ks{ciw$
!C% 37*> !N% 37*7 !G% 7*; !M% =*;
3;*7 !N% 5 !G% =1*; !M% 3 2 3 !G% > 2 3 !M% > + 3 2 3
3>$ Ef cdm c~k cg{}k cdhikw w{ga }ac} gjw> + gjw> ? 7*> cdm wed $ wed ? 3*=) }akd + ks{ciw
!C% 7 2 3 }akd }ak xkci}a jf N ks{ciw }ak w{o jf }ac} jf C cdm G$ ]akd }ak f~cg}ejd jf }ak
xkci}a }ac} C waj{im mew}~en{}k nk}xkkd N cdm G ed }ak ~c}ej 3 2 > wj }ac} }ak xkci}a jf G ks{ciw }ak w{o
jf }ac} jf C cdm N ew
!C% 3*> !N% >*7 !G% 7*= !M% 3
3;$ Uj{ acvk c okcw{~edh g{| xe}a gc|cge}u >; oi cdm cdj}ak~ xe}a gc|cge}u 33< oi) }ak g{|w acvk dj
oc~`edhw wajxedh ed}k~okmec}k vji{okw$ [wedh ic~hk gjd}cedk~ cdm cw o{ga }c| xc}k~ cw uj{ xewa$
Xac} ew }ak wociikw} coj{d} jf xc}k~ uj{ gcd okcw{~k cgg{~c}kiu :
!C% 3 oi !N% ; oi !G% 3< oi !M% >; oi
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7\CHK ' 7
36$ C |k~wjd }~cvkiw ed c gc~ f~jo aew veiichk }j c }jxd c} c w|kkm jf ;< ow*a~ fj~ fj{~ aj{~w$ ]ak~k ak w|kdmw
cd aj{~ ojvedh cnj{} >< ow$ Ak }akd ~k}{~dw }j aew veiichk c} c w|kkm =< ow*a~$ Aew cvk~chk w|kkm jvk~
}ak xajik bj{~dku !ed ow*a~% ew
!C% == !N% => !G% ==5
=!M% =6
7
>
38$ ]ak~k c~k >< {de} g{nkw cii jf xajwk fcgkw c~k xae}k) cdm == {de} g{nkw cii jf xajwk fcgkw c~k ~km$ ]aku
c~k |{} }jhk}ak~ }j fj~o c nehhk~ g{nk != = =%$ Xac} ew }ak oedeo{o d{onk~ jf xae}k fcgkw vewenik jd
}aew ic~hk~ g{nk :
!C% >< !N% 3= !G% 3> !M% 1
31$ ]ak d{onk~ jf >/mehe} d{onk~w d w{ga }ac} 7 mevemkw d > cdm ; mevemkw d 7 ew
!C% ; !N% 6 !G% 8 !M% 3d !G% o ? =d !M% o ? 1d
>; !M% gcddj} nk mk}k~oedkm nu }ak mc}c
\AUWEGW
>3$ C f{iiu ijcmkm kikvc}j~ acw c ocww jf 6 ew !]c`k h ? E< ow>%
!C% 8> 3
v{ !N%
>
{v!G%
>
v{ >> !M%
>
{v >>
)>7$ C ~cu jf ieha} kd}k~w c wicn jf oc}k~eci xe}a edg~kcwedh ~kf~cg}evk edmkq$ Fj{~ |jwweneie}ekw jf }ak }~cbkg}j~u
jf }ak ~cu c~k wajxd nkijx$
Wicn xe}aedg~kcwedh^kf~cg}evkedmkq
MGNC
]ak gj~~kg} gajegk ew 2
!C% C !N% N !G% G ! M% M
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=\CHK ' =
>=$ ]ak ewj}j|k >715>[ mkgcuw }a~j{ha c gaced jf cdm koewwejdw kdmedh {| c} }ak |~jm{g}>\n $ ]aew
gaced edvjivkw
!C% 1 koewwejd cdm 6 koewwejdw
!N% 1 koewwejd cdm 1 koewwejdw
!G% 6 koewwejd cdm 1 koewwejdw
!M% 6 koewwejd cdm 6 koewwejdw
>;$ Feh{~k wajxw cd cwwkoniu gjdwew}edh jf c d{onk~ jf |kdm{i{ow jf vc~uedh ikdh}aw$ ]ak m~evk~ |kdm{i{o ew
|{iikm cwemk cdm ~kikcwkm wj }ac} e} jwgeiic}kw ed c |icdk |k~|kdmeg{ic~ }j }ac} jf }ak mech~co$ E} xeii nk
jnwk~vkm }ac}
W}~edh
M~evk~|kdm{i{o
!C% cii |kdm{i{ow jwgeiic}k xe}a }ak f~ks{kdgu jf }ak m~evk~ |kdm{i{o cdm acvk }ak wcok co|ie}{mk$
!N% |kdm{i{ow jwgeiic}k xe}a meffk~kd} f~ks{kdgekw n{} ks{ci co|ie}{mk) }ak waj~}kw} |kdm{i{o jwgeiic}edh
xe}a }ak aehakw} f~ks{kdgu$
!G% cii |kdm{i{ow jwgeiic}k xe}a }ak f~ks{kdgu jf }ak m~evk~ |kdm{i{o0 }ak |kdm{i{o xe}a ikdh}a ks{ci }j
}ac} jf }ak m~evk~ acw }ak h~kc}kw} co|ie}{mk$
!M% |kdm{i{ow jwgeiic}k xe}a meffk~kd} f~ks{kdgekw cdm meffk~kd} co|ie}{mkw$
>6$ Uj{ c~k ~emedh jd uj{~ negugik xe}a edfic}km }u~kw$ Uj{~ f~ekdm cw`w fj~ c ief} cdm we}w jd }ak gc~~ek~ nkaedm
uj{ 2
!C% ]ak ce~ |~kww{~k ed }ak }u~kw edg~kcwkw$
!N% ]ak ce~ |~kww{~k ed }ak }u~kw mkg~kcwkw$
!G% ]ak ce~ |~kww{~k ed }ak }u~kw ~kocedw }ak wcok$
!M% Dj}aedh ed }ak wuw}ko gacdhkw kqgk|} }ak ~kcg}ejd jf }ak h~j{dm
>8$ ]ak ge~g{e} wajxd acw 7 emkd}egci ieha} n{inw C) N) G cdm > emkd}egci nc}}k~ekw K3) K
>$ Xakd }ak wxe}ga ew
j|kd) C cdm N hijx xe}a ks{ci n~eha}dkww$ Xakd }ak wxe}ga ew gijwkm2
C
N
G
W
K3
K>
!C% C cdm N xeii oced}ced }ake~ n~eha}dkww cdm G xeii nk meook~ }acd C cdm N$
!N% C cdm N xeii nkgjok meook~ cdm G xeii nk n~eha}k~ }acd C cdm N$
!G% C cdm N xeii oced}ced }ake~ n~eha}dkww cdm G xeii dj} hijx$!M% C) N cdm G xeii nk ks{ciiu n~eha}$
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;\CHK ' ;
>1$ C njc} c} ~kw} acw }xj |k~wjdw jf {dks{ci xkeha}w wkc}km c} ke}ak~ kdm$ Ef }aku xci` cg~jww }ak njc} cdm
ed}k~gacdhk }ake~ |jwe}ejdw)
!C% }ak njc} xeii ojvk ed }ak me~kg}ejd jf xci`edh jf }ak ieha}k~ |k~wjd$
!N% }ak njc} xeii ojvk ed }ak me~kg}ejd jf xci`edh jf }ak akcvek~ |k~wjd$
!G% }ak njc} xeii dj} ojvk c} cii$
!M% }ak njc} xeii jwgeiic}k cnj{} c okcd |jwe}ejd cdm w}j| jdgk }ak |k~wjdw acvk ojvkm }j }ak dkx
|jwe}ejdw$
>5$ C |auwegci s{cd}e}u }ac} ew gjdwk~vkm ed c |~jgkww
!C% o{w} acvk }ak wcok vci{k fj~ cii jnwk~vk~w$
!N% gcd dkvk~ }c`k dkhc}evk vci{kw$
!G% o{w} nk meokdwejdikww$
!M% dkkm dj} dkgkwwc~eiu nk c wgcic~$
7< h jf Gj68 xeii ~koced ~cmejcg}evk cf}k~ >3$> ukc~w :
!C% 3< h !N% 3$>; h !G% >$; h !M% 7$< h
7>$ ]ak kikokd} xaega ~kcg}w nj}a xe}a cgemw cdm ncwkw }j |~jm{gk c wci} cdm aum~jhkd hcw ew /
!C% Rd !N% Oh !G% Ie !M% W
77$ ]ak gjo|j{dm acvedh c }~e|ik njdm ew /
!C% Nkdrkdk !N% Gugijakqcdk !G% Cgk}uikdk !M% Hi{gjwk
7=$ Cd kikokd} xaega acw > kikg}~jdw ikww }acd }ac} ed Dk ew /
!C% Oh !N% Dc !G% J !M% F
7;$ Gaij~edk hcw ew |~jm{gkm f~jo AGE nu }ak cmme}ejd jf /
!C% @>WJ
=!N% @Gi !G% @DJ
7!M% @OdJ
=
76$ Cojdh AGi) AN~) AF) cdm AE }ak xkc`kw} cgem ed xc}k~ ew /
!C% AGi !N% AF !G% AN~ !M% AE
78$ \~jm{g}w jf }ak ~kcg}ejd Gc!JA%>+ >DA
=Gi) c~k
!C% GcGE>+ >DA
7+ >A
>J !N% GcGi
>+ DA
=JA + A
>
!G% GcJ + >DA7
+ >A>J !M% GcJ + DA
=JA + A
>
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6\CHK ' 6
71$ Xakd c fkx m~j|w jf gjdgkd}~c}km w{i|a{~eg cgem c~k cmmkm }j c fkx m~j|w jf c gikc~ w{hc~ !w{g~jwk%
wji{}ejd ed c }kw} }{nk) }ak wji{}ejd
!C% ~kocedw gjij~ikww !N% }{~dw nicg` !G% }{~dw ni{k !M% }{~dw xae}k
75$ ]ak ~kcg}ejd RdJ + G Rd + GJ ew cd kqco|ik jf c
!C% Gjonedc}ejd ~kcg}ejd !N% km{g}ejd/jqemc}ejd ~kcg}ejd
!G% Mew|icgkokd} ~kcg}ejd !M% Mkgjo|jwe}ejd kcg}ejd
=$ Mewgjvk~u jf fjwweiw acw |~jvemkm nejijhew}w xe}a wehdefegcd} gi{kw cw ed }ak w}k|w ed kvji{}ejd$ C~gackj|/
}k~uq jdk w{ga kqco|ik) xaega ew gjddkg}ejd ied` nk}xkkd 2
!C% \ewgkw cdm co|aenecd !N% Co|aenec cdm ~k|}eiec
!G% k|}eiec cdm cvkw !M% Cvkw cdm ocoociecd
=7$ Xaega jf }ak fjiijxedh ew c ncg}k~eci mewkcwk :
!C% Wocii|jq !N% Okcwikw !G% Okdedhe}ew !M% cnekw
==$ M{~edh |aj}jwud}akwew) ieha} kdk~hu 2
!C% Ew gjdvk~}km }j gakoegci kdk~hu !N% Ew gjdvk~}km }j edk}eg kdk~hu
!G% Ew }ak gc}ciuw} !M% Mewwjgec}kw GJ>
me~kg}iu
=;$ Ocbj~e}u jf }ak xj~im |j|{ic}ejd mk|kdmw ic~hkiu jd }ak fjiijxedh fj~ }ake~ w}c|ik fjjm 2
!C% F{dhe cdm cihck !N% Cdeoci |~jm{g}w
!G% Megj}uikmkdj{w !M% Ojdjgj}uikmkdj{w |icd}w
=6$ Ef uj{ |{} c dcei c} }ak oemmik jf c uj{dh |icd} cdm ciijx e} }j h~jx) }akd 2
!C% Uj{ xeii fedm }ak dcei c} }ak wcok |jwe}ejd cf}k~ }ak }~kk ew f{iiu h~jxd
!N% ]ak dcei xeii fcii j{}
!G% ]ak dcei xeii ~ewk cijdh xe}a }ak }~kk
!M% ]ak dcei xeii gjok gijwk~ }j }ak h~j{dm
=8$ Ef uj{ c~k cw`km }j x~e}k jd c }j|eg jf ed}k~kw}) uj{ gcd ~kcm cw ocdu njj`w cw uj{ xcd} n{} dkvk~ gj|u
wjokjdk kiwk(w x~e}edh jd }ak wcok }j|eg$ ]ak cg} ew gciikm |ichec~ewo cdm ew oj~ciiu edgj~~kg}) cw 2
!C% Uj{ c~k w}kciedh wjokjdk kiwk(w icnj~ !N% E} ew c |{dewacnik jffkdgk ed gj{~}
!G% Uj{ acvk dj} |cem ojdku }j mj wj !M% C |c}kd} kqew}w jd }ak x~e}edh
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8\CHK ' 8
=1$ C gj{|ik acw 1 gaeim~kd) cii njuw$ Xac} ew }ak gacdgk }ac} }ake~ ded}a gaeim xeii nk cdj}ak~ nju :
!C% 3*> !N% 3*= !G% 3*1 !M% 3*36
=5$ H~c|kw xk~k |{} ed c gjdgkd}~c}km w{hc~ wji{}ejd$ Jd kqcoedc}ejd cf}k~ 3> aj{~w) }ak h~c|kw xk~k
wa~{d`kd$ ]aew ew nkgc{wk 2
!C% H~c|kw nkgjok wxkk}k~ !N% Xc}k~ kvc|j~c}kw f~jo }ak wji{}ejd
!G% W{hc~ edm{gkw mewed}kh~c}ejd jf h~c|kw !M% Ijww jf xc}k~ f~jo h~c|kw nu jwojwew
; Oc~`%OC]AKOC]EGW
;3$ ]ak d{onk~ jf mew}edg} |ce~w !q) u% jf }ak ~kci d{onk~w wc}ewfuedh q ? q 7 + u= cdm u ? >qu ew 2
!C% ; !N% 3> !G% 7 !M% 8
;>$ Xk xcd} }j fedm c |jiudjoeci f!q% jf mkh~kk d w{ga }ac} f!3% ? > cdm f!7% ? $ Xaega jf }ak fjiijxedh ew
}~{k :
!C% ]ak~k mjkw dj} kqew} w{ga c |jiudjoeci
!N% ]ak~k ew kqcg}iu jdk w{ga |jiudjoeci cdm e} acw mkh~kk 3
!G% ]ak~k c~k edfede}kiu ocdu w{ga |jiudjoeciw fj~ kcga d 3
!M% ]ak~k c~k edfede}kiu ocdu w{ga |jiudjoeciw fj~ kcga d > n{} dj} edfede}kiu ocdu fj~ d ? 3
;7$ C |jiudjoeci |!q% xakd mevemkm nu q>
7q + > ikcvkw ~kocedmk~ >q
7$ ]akd 2!C% |!q% o{w} acvk c ~jj} nk}xkkd < cdm 7
!N% |!q% gcddj} acvk c ~jj} nk}xkkd < cdm 7
!G% |!q% o{w} acvk c ~kci ~jj} n{} ocu j~ ocu dj} nk nk}xkkd < cdm 7
!M% |!q% dkkm dj} acvk c ~kci ~jj}
;=$ Ed c ~kg}cdhik CNGM ) O cdm D c~k }ak oem|jed}w jf }ak wemkw NG cdm GM ~kw|kg}evkiu$ Ef CDO? 5 2 3 !N% 32> !G% 327 !M% 32 3
;;$ Gjdwemk~ }ak }~ecdhik JCN ed }ak qu / |icdk xak~k J ? !
;
>
7!M% >
;6$ Ik} c wkoege~gik xe}a gkd}~k J cdm mecok}k~ CN$ Ik} \ cdm S nk |jed}w jd }ak wkoege~gik cdm nk c |jed}
jd CN kq}kdmkm w{ga }ac} JC ? S^ 9 \^$ Ef \JC ? 3 }akd \^C ew 2
!C% ;3 !N% 7=
!G% >;$; !M% dj} |jwwenik }j nk mk}k~oedkm
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1\CHK ' 1
;8$ Ik} C) N) G) M nk gjiiedkc~ |jed}w ed }ac} j~mk~$ W{||jwk CN 2 GM ? 7 2 > cdm NG 2 CM ? 3 2 ;$ ]akd CG 2
NM ew 2
!C% 3 2 3 !N% 33 2 3< !G% 36 2 33 !M% 38 2 37
;1$ Hevkd c w|ak~k) c gjdk ew gjdw}~{g}km wj }ac} }ak gjdk cdm }ak w|ak~k acvk }ak wcok vji{ok) n{} }ak
}j}ci w{~fcgk c~kc jf }ak gjdk ew }eokw }ac} jf }ak w|ak~k) xak~k ew mk}k~oedkm wj }ac} }ak~k ew c {des{k
gjdk wc}ewfuedh }aew |~j|k~}u$ ]akd ks{ciw 2
!C% 3 !N% > !G% 7 !M% 7 >
;5$ Ajx ocdu =/mehe} d{onk~w c~k }ak~k xe}a }ak |~j|k~}u }ac} e} ew c ws{c~k cdm }ak d{onk~ jn}cedkm nu
edg~kcwedh cii e}w mehe}w nu 3 ew ciwj c ws{c~k :
!C% < !N% 3 !G% > !M% =
6$ ]ak d{onk~ jf ~kvji{}ejdw }{~dkm nu }ak ~kc~ xakkiw
m{~edh }ak n~c`edh |k~ejm ew cnj{}
!C% =1 !N% 56 !G% 7> !M% 3>
6>$ ]ak kdk~hu ~kikcwkm ed c ojmkw} werk c}joeg njon !>< `eij}jd% ew cnj{} 3
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5\CHK ' 5
6=$ Ieha} edgemkd} jd c ~j}c}edh oe~~j~ O ew ~kfikg}km }j c feqkm oe~~j~ D |icgkm >>$; o cxcu f~jo O$ ]ak feqkm
oe~~j~ ~kfikg}w e} ncg` }j O !cijdh }ak wcok |c}a% xaega ed }{~d ~kfikg}w }ak ieha} chced cijdh c me~kg}ejd
}ac} oc`kw cd cdhik jf >8 xe}a }ak edgemkd} me~kg}ejd$ ]ak w|kkm jf ~j}c}ejd jf }ak oe~~j~ ew2
!C% >;< ~kvji{}ejdw w3 !N% ;WJ
=!76 D% nu mei{}edh /
!C% >< oi jf }ak gjdg$ A>WJ
=}j >=< oi !N% 3< oi jf }ak gjdg$ A
>WJ
=}j >=< oi
!G% 3 oi jf }ak gjdg$ A>WJ= }j 76 oi !M% >< oi jf }ak gjdg$ A>WJ= }j 76 oi
68$ ]ak hcw ~kw|jdwenik fj~ {dmk~ xc}k~ gj~~jwejd jf e~jd cdm }ak |~jm{g} jf gj~~jwejd) ~kw|kg}evkiu) c~k /
!C% Mewwjivkm jquhkd cdm Fk>J
7!N% Mewwjivkm aum~jhkd cdm Fk
>J
7
!G% Mewwjivkm jquhkd cdm Fk!JA%7
!M% Mewwjivkm de}~jhkd cdm Fk!JA%7
61$ ]ak wji{neie}u g{~vk jf @DJ7cw c f{dg}ejd jf }ko|k~c}{~k ew hevkd nkijx
< >< =< 6< 1< 3
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!N% ]ak gu}j|icwo jf cojknc ew ewj}jdeg }j w{~~j{dmedh xc}k~$
!G% ]ak gu}j|icwo jf cojknc ew au|j}jdeg }j w{~~j{dmedh xc}k~$
!M% Cojknc mjkw dj} }c`k {| xc}k~ f~jo }ak w{~~j{dmedhw$
1
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>7>7\CHK ' >7
\C^]/E !3 Oc~`%OC]AKOC]EGW
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? 31$8>!N% }ak j{}wemk jf }ak ge~gik !q 3$6%> !u ;$=%> ? 31$8>
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}ak vk~}egci iedk !hevk }ak cdwxk~ }j }ak dkc~kw} wkgjdm% :
!C% 3+ !G% 88+ !M% 76+
3;$ Ik} Wd
nk }ak w{o jf cii ed}khk~w ` w{ga }ac} >d 9 ` 9 >d3) fj~ d 3$ ]akd 5 mevemkw Wd
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ojvedh xe}a {defj~o vkijge}u wkkw }aew$
]ak }~cbkg}j~u jf }ak ncii cw wkkd nu }ak m~evk~ xeii nk /
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38$ Gjdwemk~ }xj w|ak~egci |icdk}w jf wcok cvk~chk mkdwe}u$ \icdk} > ew 1 }eokw cw ocwwevk cw |icdk} 3$
]ak ~c}ej jf }ak cggkik~c}ejd m{k }j h~cve}u jd }ak wkgjdm |icdk} }j }ac} jd }ak fe~w} ew$
!C% 3 !N% > !G% = !M% 1
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>;>;\CHK ' >;
31$ ]xj eooewgenik ies{emw) C cdm N c~k k|} ed c [/}{nk$ Ef }ak mkdwe}u jf ies{em C ew wociik~ }acd }ak mkdwe}u
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>6>6\CHK ' >6
>>$ C nijg` jf ocww O ew c} ~kw} jd c |icdk w{~fcgk edgiedkm c} cd cdhik }j }ak aj~erjd}ci ]ak ochde}{mk jf
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>8>8\CHK ' >8
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>1>1\CHK ' >1
78$ ]ak |A vci{kw jf
!e% ojikw jf coojdec !M% 7$< =< 6< 1< 3
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>5>5\CHK ' >5
NEJIJHU
=6$ Xaega jdk jf }ak fjiijxedh ew }ak wociikw} ed werk :
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=8$ Ef ne~mw c~k ojvkm f~jo 7
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7373\CHK ' 73
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66$ C w|~edh ncicdgk C ~kcmw > h xakd c nijg` jf ocww o w{w|kdmkm f~jo e}$ Cdjiak~ ncicdgk N ~kcmw 7 `h
xakd c nkc`k~ xe}a c ies{em ew |{} jd e}w |cd$ ]ak }xj ncicdkw c~k djx wj c~~cdhkm }ac} }ak acdhedh ocww
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C
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!C% }ak ncicdgk C xeii ~kcm > `h cdm N xeii ~kcm ; h$
!N% }ak ncicdgk C xeii ~kcm > `h cdm N xeii ~kcm 7 h$!G% }ak ncicdgk C xeii ~kcm ikww }acd > `h cdm N xeii ~kcm nk}xkkd 7 hcdm ; h$
!M% }ak ncicdgk C xeii ~kcm ikww }acd > `h cdm N xeii ~kcm 7 `h$
68$ Cggj~medh }j }ak s{cd}{o }akj~u) c |aj}jd jf kikg}~jochdk}eg ~cmec}ejd jf f~ks{kdgu acw kdk~hu
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acvedh kffkg}evk ocww o ? >G
a$ Ef c ficwa jf ieha} ew wkd} aj~erjdc}ciiu ed kc~}aw h~cve}c}ejdci fekim) }akd
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gajegk jf cqew jf ~j}c}ejd xeii }ak `edk}eg kdk~hu jf }ak |ic}k nk }ak ic~hkw} :
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65$ Cd jnbkg} ew |icgkm jf fjgci ikdh}aw < o cdm
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7>7>\CHK ' 7>
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=ienk~c}kw c hcw Q }ac} }{~dw ojew} ni{k ie}o{w |c|k~ ~km$ Xakd hcw Q
ew |cwwkm ed}j c }kw} }{nk gjd}cededh khh wakii |jxmk~ w{w|kdmkm ed xc}k~ cdj}ak~ hcw) U ew hkdk~c}km
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\CHK ' 77
\C^]/C !3 Oc~`%OC]AKOC]EGW
3$ C w}{mkd} dj}egkw }ac} }ak ~jj}w jf }ak ks{c}ejd q> nq c ? < c~k kcga 3 ikww }acd }ak ~jj}w jf }akks{c}ejd q> cq n ?
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ew cd ed}khk~ ew 2
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8$ C gjx ew }ekm }j c gj~dk~ !vk~}kq% jf c ~kh{ic~ akqchjdci fkdgkm c~kc jf wemk c ok}k~w nu c ~j|k jf ikdh}a
;c * > ok}k~w ed c h~cww fekim$ !]ak gjx gcddj} h~crk edwemk }ak fkdgkm c~kc$% Xac} ew }ak ocqeo{o
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!C"% ; c> !N%>
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\CHK ' 7=
1$ C gijwkm gjdegci vkwwki ew feiikm xe}a xc}k~ f{iiu cdm ew |icgkm xe}a e}w vk~}kq mjxd$ ]ak xc}k~ ew ik} j{} c}
c gjdw}cd} w|kkm$ Cf}k~ >3 oed{}kw) e} xcw fj{dm }ac} }ak akeha} jf }ak xc}k~ gji{od ew acif jf }ak j~ehedci
akeha}$ Ajx o{ga oj~k }eok ed oed{}kw mjkw e} ko|}u }ak vkwwki :
!C% >3 !N% 3= !G% 8 !M% 7
5$ E gc~~ekm 3
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\CHK ' 7;
3=$ C |icdk} jf ocww o ew ojvedh c~j{dm c w}c~ jf ocww O cdm ~cme{w ed c ge~g{ic~ j~ne} jf ~cme{w ~$ ]ak w}c~
cn~{|}iu wa~ed`w }j acif e}w ~cme{w xe}aj{} cdu ijww jf ocww$ Xac} gacdhk xeii nk }ak~k ed }ak j~ne} jf }ak
|icdk} :
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3;$ Feh{~k !c% nkijx wajxw c Xakc}w}jdk n~emhk ed xaega \) S) ) W c~k feqkm ~kwew}cdgkw) H ew c hcivcdjo/
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|jwe}ejdw jf N cdm H c~k ed}k~gacdhkm)$ cw wajxd ed feh{~k !n%$ ]ak dkx mkfikg}ejd jf }ak hcivcdjok}k~$
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ew 2
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edvk~}km |~ewo nkaedm e} ed gjd}cg}) xac} xeii nk wkkd jd }ak wg~kkd :
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!M% ]ak~k xeii nk dj w|kg}~{o) n{} }ak j~ehedci ieha} xeii nk ic}k~ciiu mew|icgkm$
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\CHK ' 76
35$ ]xj emkd}egci nijg`w jf ok}ci c~k c} > >w> >|6 7|= !G% 3w> >w> >|= 7w> 7|= !M% 3w> >w> >|6 7w3 7|7
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\CHK ' 78
!C% 3> !N% 3< !G% 37 !M% 33
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73$ Xaega jf }ak fjiijxedh ew c xc}k~/nj~dk mewkcwk :
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7>$ Ed acw wkoedci xj~` jd hkdk}egw) H~khj~ Okdmki mkwg~enkm }ak |auwegci }~ce}w ed }ak |kc |icd} cw nkedh
gjd}~jiikm nu }xj (fcg}j~w($ Xac} }k~o ew {wkm }j mkfedk }akwk fcg}j~w }jmcu :
!C% Ga~jojwjokw !N% Hkdkw !G% Ciikikw !M% Aun~emw
77$ C ocbj~e}u jf }ak }~kk w|kgekw jf \kdedw{ic~ Edmecd j~ehed f~{e} ed }ak ojd}aw jf 2
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\CHK ' 71
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