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osQ- kek- f'k-- kcks- f Z iz =izfrn'kZ iz'ui=k
g h *g h *fgUnh ikB~;Øe ^v*fgUnh ikB~;Øe ^v*
µ d{kk µ uoe
; Vsle; % 3 ?kaVs . ± iw.kk±d µ 80
Q % f µ ikB~; iqLrosQ % f{kfrt µ Hkkx 1
Q Q o`Qfrdk µ Hkkx 1o`Qfrdk µ Hkkx 1
(d) u o c / e iBu ,oa cks/kRed vifBr 55×× 4 == 20 g o iz ucgqfodYih iz'u
([k)([k) dj kdj kO;kdj.kO;kdj.k 4444×××× 5 5 ==== 2020 g o ug o iz ucgqfodYih iz'ucgqfodYih iz'u
(x) gRlkfgR; 20 20 + 5 5 + 5 5 = 30 k rj y?kqRrj iz'u
/ 'fucU/kkRed iz'u
g o iz ucgqfodYih iz'u
(?k) ys[ku 5 5 + 55 = 010 / 'fucU/kkRed iz'u
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M [kaM ^d*
' ' iz'u 1iz'u 1-- a è k d <d N o f , uE è k d i<d N uk o f , fuEufyf[kr x|ka'k dks è;kuiwoZd i<+dj iwNs x, iz'uks a osQ fy, fuEufyf[kr x|ka'k dks è;kuiwoZd i<+dj iwNs x, iz'uks a osQ fy, l h d i l d i lgh fodYi lgh fodYi
q Ùq Ùkpqudj mÙkpqudj mÙk q rd µ q rd µj iqfLrdk es a fyf[k, µj iqfLrdk es a fyf[k, µ
k ' l k g f o d , v ' { S m Hkkjrh; n'kZu fl[kkrk gS fd thou dk ,d vk'k; vkSj y{; gS] ml
k d k t k g k r l y iz r y ] vk'k; dh [kkst gekjk nkf;Ro gS vkSj var esa ml y{; dks izkIr dj ysuk]
f s k gS l iz j u v ' m ~ k V d gekjk fo'ks"k vf/dkj gSA bl izdkj n'kZu tks fd vk'k; dks mn~?kkfVr djus
k ' d dh dksf'k'k djrk gS vkSj tgk ¡ l yrk ] g ¡ rd mls blesa liQyrk feyrh gS] og bl
j k Ø; y{; rd vxzlj gksus dh izfØ;k gSA o f { y k SqQy feykdj vkf[kj ;g y{; D;k gS\
l s ; k I g g e ] oQ t u g a ] bl vFkZ esa ;FkkFkZ dh izkfIr og gS ftlesa ik ysuk] osQoy tkuuk ugha gS]
l k k k k l k k e k k cfYd mlh dk va'k gks tkuk gSA bl miyfC/ esa ck/k D;k gS cfYd mlh dk va'k gks tkuk gSA bl miyfC/ esa ck/k D;k gS \\\\ k ck/k,¡ dbZ ck/k,¡ dbZ
gSaA ij bgSaA ij b i [ 'k {k S k i [ 'k {k S k uesa izeq[k gS µ vKku A vf'kf{kr vkRek ugha gS] ;gk¡ rd fd uesa izeq[k gS µ vKku A vf'kf{kr vkRek ugha gS] ;gk¡ rd fd
F Z k H h S k g f k {k d ;FkkFkZ lalkj Hkh ugha gSA ;g n'kZu gh gS tks mls f'kf{kr djrk gS vkSj viuh
' m k f yk k F k f'k{kk ls mls ml vKku ls eqfDr fnykrk gS] tks ;FkkFkZ n'kZu ugha gksus nsrkA
l Z s nf bl izdkj ,d nk'kZfud gksuk ,d ckSn~f/d vuqxe k ju ugh Y u djuk ugha gS] cfYd
k Dr v p a d k ,d 'kfDrizn vuq'kklu ij pyuk gS] D;ks afd lR; dh [kkst esa yxs gq, gh lgh
k fu s v u d k p k nk'kZfud dks vius thou dks bl izdkj vkpfjr djuk iM++rk gS rkfd ml
F Z d k t o [ g ] h t u ;FkkFkZ ls ,dkdkj gks tk; ftls og [kkst jgk gSA okLro esa] ;gh thou dk
gh gS kj k,dek=k lgh ekxZ gS vkSj lHkh d k s k k nk'kZfudks a dks bldk ikyu djuk gksrk gS]
j f gh f a s s fd l kj kf gh f k e s s fd l ; vkSj nk'kZfud gh ugh] cfYd lHkh euq";ks a dks] D;ks afd lHkh euq";ks a osQ vkSj nk'kZfud gh ugh] cfYd lHkh euq";ks a dks] D;ks afd lHkh euq";ks a osQ
k ; Z SAk ; k Z SAnkf;Ro vkSj fu;kZr ,d gh gSaAnkf;Ro vkSj fu;kZr ,d gh gSaA
(1) k Hkkjrh; n'kZu h y j Q fdl y{; dh vksj laosQr djrk gS \ 1
)(d) F Z iz uk;FkkFkZ dh izkfIr dj ysuk
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[([ )k) u ,d vk vthou dk ,d vk'k; vk S SSj y{; gS
xx(x)(x) Q k k d j k k Q k k d j k ;FkkFkZ osQ lkFk ,dkdkj gks tkuk;FkkFkZ osQ lkFk ,dkdkj gks tkuk
?(?k) f r s t ukf'kf{kr gks tkuk
( )(2) {; I jus s e k D y{; izkIr djus esa izeq[k ck/k D;k gS \ 1
dd(d)(d) f r f r vf'kf{kr gksukvf'kf{kr gksuk
[ )([k) Kku odk vHkko
x(x) k ;FkkFkZ n'kZu
?(?k) ' gvuq'kklu ghurk
( )(3) u ,d e = thou dk ,d ek=k 'í ;mís'; D;k gS \\ 1
d(d) d 'k r,d 'kfDri z 'k i zn vuq'kklu ij pyuk
[ )([k) n / e ckSn~f/d vuqxeu djuk
x(x) f r sf'kf{kr gksuk
??(?k)(?k) s e r s s e r svKku ls eqDr gksukvKku ls eqDr gksuk
( )(4) k u* C e k l f g^vuq'kklu* 'kCn es a milxZ dk lgh fodYi gSµ 1
d(d) vu + m'kklu
[ )([k) v + uuq'kklu
x(x) vuq + 'kklu
??(?k)(?k) ' ' vuq'kk vuq'kk ++ lulu
( )(5) | i; r d S bl x|ka'k dk mi;qDr 'kh"kZd gS µ 1
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d(d) u thou n'kZu
[ )([k) knk'kZfudrk
x(x) k tlR; dh [kkst
?(?k) j h n kHkkjrh; n'kZu
iz iz'u 2iz'u 2-- y [ | d y [ | d fuEufyf[kr x|ka'k dks fuEufyf[kr x|ka'k dks Z i<d f , l ; Z <d f , u l è;kuiwoZd i<+dj uhps fn, x, iz'uks a osQ fy, lgh è;kuiwoZd i<+dj uhps fn, x, iz'uks a osQ fy, lgh
p j k y p j k y fodYi pqudj mÙkj iqfLrdk esa fyf[k, µfodYi pqudj mÙkj iqfLrdk esa fyf[k, µ 550505
u t r n k d s g r h s e tUe ekuo tkfr vius mn~Hkodky ls gh izÑfr dh xksn esa gh tUe fy;k
S i s k µ .k x k k iz o k vkSj mlh ls vius Hkj.kµiks"k.k dh lkexzh izkIr dhA lHkh izdkj osQ oU; ;k
izk�frd m k h m o j o k Q / F miknku gh mlosQ thou vkSj thfodk osQ ,dek=k lk/u FksA iz� fr
o d a f A e n h .k us gh ekuo thou dks laj{k.k iznku fd;kA jkepanz] lhrk o y{e.k us Hkh
o d L u q V k o o u d L u q V uk o iapoVh uked LFkku ij oqQfV;k cukdj ouokl dk yiapoVh uked LFkku ij oqQfV;k cukdj ouokl dk y l r k l k ack le; O;rhr fd;k ack le; O;rhr fd;k
A A FkkA FkkA
`o ` h y + o u y mlu ks {kks a dh ydM+h ls ekuo vusd izdkj osQ ykHk mBkrk gSA mlus ydM+h dks
a i;q r ; ku o i + M b±/u osQ :i esa iz;qDr fd;kA blls edku o >ksifM+;k¡ cukb±A bekjrh ydM+h ls
µ e . f k] k] ª k s Hkou µ fuekZ.k] Ñf"k ;a=k] ifjogu] tSlsµjFk] Vªd rFkk jsyks a osQ fMCcs rFkk
u ZiQuhZpj k, t y d f { d Mh vkfn cuk, tkrs gSaA dks;yk Hkh ydM+h dk izfr:i gSA o`{kks a dh ydM+h
Q mRrFkk mlosQ mRikn S _ tSls y d V d h d p M d h µ ukfj;y dk twV] ydM+h dk cqjknk] phM+ dh ydM+h
o H b v a i; i p os Z kf q nvkfn fofHkUu blls oLrqvks a dk iz;ksx iQy] dk¡p osQ crZu vkfn uktqd inkFkks h ± dh
a f k AiSfdax osQ fd;k tkrk gSA
obl izdkj o k l fH u y fj ijk{k n `{kk s a ls fofHkUu izR;{k ykHkks a osQ vfrfjDr ijks{k iQk;ns Hkh
S o u W + iz r gk A k s s + gSaA thou nkf;uh vkWDlhtu isM+k s a ls izkIr gksrh gSA o`{kks a osQ vkf/D; ls ck<+
a k l e rh Afu;a=k.k esa lgk;rk feyrh gSA
( )( )(1)(1) f y a k o f y k o vkfndky esa ekuo vkfndky esa ekuo u k u k thou fdl ij vk/kfjr Fkkthou fdl ij vk/kfjr Fkk \\ 11
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d(d) w iQy&iwQy
[ )[ )([k)([k) oU; ;k izkoU; ;k izk rd krd kÑfrd miknkuÑfrd miknku
x(x) k kdy&dkj[kkus
?(?k) f k ;=Ñf"k ;a=k
( )( )(2)(2) M i k g M i k g ^ydM+h* dk izfr:i D;k gS ^ydM+h* dk izfr:i D;k gS \\ 11
d(d) d h jk ydM+h dk cqjknk
[ )([k) iQuhZpj
x(x) dks;yk
?(?k) f Vukfj;y dk twV
( )(3) {k a l s s k rk gSo`{kks a ls ijks{k iQk;nk fdlesa gks ldrk gSµ 1
d(d) u;= .ck<+ fu;a=k.k
[ )([k) iQuhZpj
xx(x)(x) ifjoguifjogu
?(?k) fHkou fuekZ.k
( ) ^ o k k x (4) ^iapoVh* dk lekl foxzg gS µ 1
d(d) o e gik¡p oVks a dk lekgkj
[ )([k) gS ik¡p gSa oV ftlosQ
xx(x)(x) Q oV Q oViap osQ fy, oVhiap osQ fy, oVh
?(?k) oiap vkSj oVh
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( )(5) |k i; r d S bl x|ak'k dk mi;qDr 'kh"kZd gS µ 1
dd(d)(d) t thekuo thouekuo thou
[ )([k) & / g hisM+&ikS/s vkSj gekjk thou
x(x) oiapoVh
??(?k)(?k) thth u tu tou vkSj thfodkou vkSj thfodk
iz iz'u 3- y [ d k k dk + p a oQ y l fuEufyf[kr dkO;ka'k dks i<+dj uhps fn, x, iz'uks a osQ fy, lgh
p d y [ fodYi pqudj fyf[k, µ 5
Q ] r Q ] ; r oqQN Hkh cu] cl dk;j er cu oqQN Hkh cu] cl dk;j er cu
d k Bksdj ekj] iVd er ekFkk
g k rs o gursjh jkg jksdrs okgu
Q ] r Q ] ; r oqQN Hkh cu] cl dk;j er cuoqQN Hkh cu] cl dk;j er cu
s uk h ysµnsdj thuk] D;k thuk \
d Q ih c rd xe osQ vk¡lw ihuk \
u lekuork us rq>dks lhapk
s k cgk ;qxks a rd [kwuµilhuk A
oQ k oqQN u djsxk \ f k fd;k djsxk µ
e µ d js euq"; µ cl dkrj Øanu \\
e ] viZ.k dj loZLo euqt dks]
q s vk µ k q s vk µ .k dj u nq"V dks vkRe µ leiZ.k dj u nq"V dks vkRe µ leiZ.k
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Q ] ; r oqQN Hkh cu] cl dk;j er cu A
( )( )(1)(1) f jus f ; jus dfo D;k djus dfo D;k djus d ijd j.kdh izsj.kdh izsj.k s s k ns jgkk ns jgk gS gS \\ 11
d(d) e s k s xe osQ vk¡lw ihus dh
[ )([k) Re .kvkRe&leiZ.k ddh
xx(x)(x) o B ho B h:dkoVks a dks Bksdj ekjus dh:dkoVks a dks Bksdj ekjus dh
?(?k) j dk;j u cuus dh
( )(2) f s l k d h O dfo osQ vuqlkj fdl izdkj dk thou O;FkZ gS \\ 1
d(d) Q d h oqQN Hkh cudj thuk
[ )([k) > S k hle>kSrk oknh
x(x) u j[kwu ilhuk cgkdj
?(?k) " s euq"; dks o iZ d sLoZLo vfiZr djosQ
( )(3) ; R ; S ^dk;j* ls rkRi;Z gS µ 1
dd(d)(d) j kjikMjiksdMjiksd
[ )([k) > S k hle>kSrk oknh
x(x) dkrj
?(?k) "nq"V
( )(4) ^ikgu* C d Z o ph 'kCn dk i;kZ;okph gS µ 1
dd(d)(d) g u g ku esgeku esgeku
[ )([k) iSj
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x(x) iRFkj
??(?k)(?k) rrioZrioZr
( )(5) h u l d u* D ^oqQN Hkh cu] cl dk;j er cu* A dfo us D;ks a dgk gS \\ 1
d(d) Q uk oqQN Hkh cuuk eqf'dy gS
[ )[ )([k)([k) Q k r Q uk r oqQN Hkh cuuk cgqr vklku gSoqQN Hkh cuuk cgqr vklku gS
x(x) j k ugh g rdk;j euq"; vPNk ugha gksrk
?(?k) j dk;j euq"; dk thou O;FkZ gS
iz iz'u 4- y [ O; d d n x, uk o l d i N fuEufyf[kr dkO;ka'k dks i<+dj fn, x, iz'uks a osQ lgh fodYi Nk¡Vdj
k fyf[k, µ 5
ckny] xjtks !
s xs k x?ksj ?ksj ?kksj xx?ksj ?ksj ?kksj xx / / k / / k u] /kjk/j vks !u] /kjk/j vks !
f r s ¡ k ] yfyr yfyr] dkys ?kq ¡?kjkys]
Y cky dYiuk osQ l yµls ikys]
N h o y fo|qrµNfo mj esa] dfo] uothou okys !
ik ru kotz fNik] uwru dfork
f k fiQj Hkj nksµ
ckny] xjtks !
d m F s mfody fody] mUeu Fks mUeu
Q os , ' v Q Q k os , 'k v Q fo'o osQ funk?k osQ ldy tu] vk, vKkr fn'kk ls vuar osQ ?kufo'o osQ funk?k osQ ldy tu] vk, vKkr fn'kk ls vuar osQ ?ku !!
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iQrIr /jk] ty ls fiQj
ry n s µk ry n s µ'khry dj nks µ'khry dj nks µ
n ] !Ckkny] xjtks !
1(1) s f n j s , grk gS dfo ckny ls D;k djus osQ fy, dgrk gS \ 1
dd(d)(d) us o us o cjlus osQ fy,cjlus osQ fy,
[ )([k) jt s o xjtus osQ fy,
x(x) l e f jus vkleku esa s fopj.k djus osQ fy,
?(?k) tkus osQ fy,
2(2) k y l k C gS^ckny* dk lekukFkhZ 'kCn gSµ 1
(dd) Nfo|qr Nfo
[ )([k) /kjk/j
x(x) q? sdkys ?kq ¡?kjkys
??(?k)(?k) r r vuar osQ ?kuvuar osQ ?ku
3(3) s ? k n r Z ^funk?k* 'kCn ls rkRi;Z gS µ 1
d(d) xvkx
[ )([k) o"kkZ
x(x) exehZ
??(?k)(?k) cknyckny
4(4) f s n h l gS dfo us ckny dh miek fdlls nh gS µ 1
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d(d) Ycky dYiuk
[ )[ )([k)([k) t tuo thouuo thou
x(x) u fuwru dfork
?(?k) n kvKkr fn'kk
55(5)(5) ? j ? j * s d r , µ ? j ? j * e d r , µ^?ksj ?ksj ?kksj xxu* iafDr esa vyadkj crkb, µ^?ksj ?ksj ?kksj xxu* iafDr esa vyadkj crkb, µ 11
d(d) kmiek
[ )([k) mRizs{kk
x(x) ;ed
?(?k) izvuqizkl
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[ [[k.M ^[k*[k.M ^[k*
u iz u iz'u 5iz'u 5-- (d)(d) a s e{k n, n a tq s i a s e{k n, x k n a tq s iz ; fuEufyf[kr 'kCnks a osQ le{k fn, x, ewy 'kCn esa tqM+ s milxZ vkSj izR;; osQ fuEufyf[kr 'kCnks a osQ le{k fn, x, ewy 'kCn esa tqM+ s milxZ vkSj izR;; osQ
; o Y ; o Y vkSj izR;; osQ fodYiks a esa lsvkSj izR;; osQ fodYiks a esa ls g q y µg q y µlgh fodYi pqudj fyf[k,µlgh fodYi pqudj fyf[k,µ 11
(i) o uko uLokoyacuµLokoyacuµ
(d) o a uLo% $ voyacu x(x) o a uLo $ voyacu
)([k) $ o cLok $ voyacu ?(?k) ko cuLo $ vkoyacu
(ii) o ;rekuoh;rkµ 1
(d)(d) o b $ o b $ ekuo $ bZ; $ rkekuo $ bZ; $ rk xx(x)(x) $ $ ekuo $ bZ;rkekuo $ bZ;rk
)([k) $ h rkeku $ oh; $ rk ?(?k) h rkekuoh; $ rk
([k)([k) f f dY k l u& suf f dYik l u& sfuEufyf[kr fodYiksa esa ls dkSu&lsfuEufyf[kr fodYiksa esa ls dkSu&ls e l n o K , a es l k n o Kk, a fodYi esa lHkh 'kCn Hkkookpd laKk,¡ ugha fodYi ess a lHkh 'kCn Hkkookpd laKk,¡ ugha
µµgSµgSµ 11
(i) Z oQ AZ i; x oQ AvPNkbZ] mi;ksxh] o`Qf=kerk AvPNkbZ] mi;ksxh] o`Qf=kerk A
(ii) ` ] l ` ] k l ekr`Ro] xaHkhjrk] okRlY; Aekr`Ro] xaHkhjrk] okRlY; A
(iii) k Ayxko] Fkdku] gkj A
(iv) h rk] = rk] nq rk h rk] = rk] nq rk ohjrk] ijra=krk] nq"Vrk Aohjrk] ijra=krk] nq"Vrk A
(x) uf e s f s y Q f dYfuEufyf[kr okD; esa js[kkafdr 'kCn osQ L=khfyax 'kCn osQ lgh fodY i i dks
o i k jpqudj okD; iwjk dfj,µ 1
e a J" fiQYeksRlo esa loZJs"B H svfHkusrk
vkSj ----------------- iz f Adks iqjLdkj iznku fd, x, A
(i) kf vè;kfidk A
(ii) n h n kh fonq"kh Afonq"kh A
(iii) Hk h vfHkus=kh A
(iv) A[kyukf;dk A
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iz'u 6- (d) uf r ea j x Q iz ks s kD es rZ k fuEufyf[kr okD; esa ^us ijlxZ* osQ iz;ksx ls okD;ksa es a tks ifjorZu vk;k gS]
s mlosQ j r l o Y f [ifjofrZr :i dk lgh fodYi pqudj fyf[k,µ 1
g [ [ pdk geksgu [kkuk [kk pqdk gSA
(i) g us k eksgu us [kkuk [kk;k A
(ii) g us Fkk eksgu us [kkuk [kk fy;k Fkk A
(iii) g us k [ f k eksgu us [kkus dks [kk fy;k A
(iv) g us g eksgu us [kkuk [kk fy;k gS A
([k)([k) ; j[ r f D; j[ r ifuEufyf[kr okD; esa js[kkafdr in esa ifuEufyf[kr okD; esa js[kkafdr in esa iz q o Y dj z q o Y u z;qDr dkjd osQ lgh fodYi dks pqudj z;qDr dkjd osQ lgh fodYi dks pqudj
,,fyf[k,µfyf[k,µ 11
us jke us dye l [ ls i=k fy[kk A
(i) l / j laca/ dkjd A
(ii) dj d Adj.k dkjd A
(iii) e dk deZ dkjd A
(iv) dkjviknku dkjdA
(x) f D; j[ r C oQ f s s g fuEufyf[kr okD; esa js[kkafdr 'kCn osQ foykse 'kCn osQ lgh fodYi dks pqudj
k,fyf[k,µ 1
eSa f kfujkfe"k a ugha -- ----------------------------- Hk tu rk Hkkstu ilan djrk gw¡ A
(i) a Ekaklkgkjh A
(ii) d g j dkg j 'kkdkgkjh A'kkdkgkjh A
(iii) Q AiQykgkjh A
(iv) k lkfe"k A
(?k) f D; iz s f ' u Z k n fuEufyf[kr okD; esa iz;qDr js[kk afdr 'kCn dh txg dkSu&lk i;kZ;okph 'kCn
d gS q f ,mi;qDr gks ldrk gS] lgh fodYi pqudj fyf[k,µ 1
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lhrk jkepa nz th dh iRuh AFkha A
(i) Afiz;k A
(ii) k Al[kh A
(iii) =k AL=kh A
(iv) o x thou lafxuh A
iz'u 7- f D; a s k kx s a f f k u k e fuEufyf[kr okD;ksa dks pkj Hkkxks a esa foHkkftr fd;k x;k gS_ bu pkjks a Hkkxks a esa
a q kkx dks p yf µls ,d Hkkx esa =kqfV gS] ml Hkkx dks pqudj fyf[k,µ 44
(i) t ' e ( l k) (d) vkt ([k) ns'k es a (x) loZLo (?k) 'kk r S afr gS A
(ii) q S k) us ) Q ) k (d) xqykc osQ ikS/s ij ([k) eSaus (x) dbZ iwQy (?k) dks ns[kk A
(iii) t + ( , kh ( n ( ugh (d) vkt ckt+kj esa ([k) ,d Hkh (x) nqdku (?k) ugha [kqyk A
(iv) ( <d d ( v [ e ek ( i<d d ( v [ (d) jkepfjr ekul ([k) i<+dj (x) ikBd dh (?k) vk¡[k [kqy xbZ (d) jkepfjr ekul ([k) i<+dj (x) ikBd dh (?k) vk¡[k [kqy xbZ
AA
iz'u 8- f k d i x uk fuEufyf[kr lkekfld inksa osQ foxzg vkSj uke dk lgh f d i udj fodYi pqudj fyf[k,µ
3
(d) kvkKkuqlkj 1
(i) o uq k µ iq " e AvkKk osQ vuqlkj µ rRiq:"k lekl A
(ii) o uq k H ko e AvkKk osQ vuqlkjµ vO;;hHkko lekl A
(iii) v j uq k µ l vkKk vkSj vuqlkj µ }a} lekl A
(iv) k e µ q z tks vkKk dks ekus µ cgqczhfg lekl A
([k)([k) qqf=kHkqouf=kHkqou 11
(i) g rhu gS tks Hk q ek Aou µ cgqczhfg lekl A
(ii) k u Z k rhljk Hkqouµ deZ/kj; lekl A
(iii) H o } A Hko } Arhu Hkou µ f}xq lekl Arhu Hkou µ f}xq lekl A
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(iv) Hkq k s s g µ l rhu Hkqouks a (yksdks a) dk lewg µ f}xq lekl A
(x)(x) vdkyihfM+r vdkyihfM+r 11
(i) + "k ekvdky ls ihfM+r µ rRiq:"k lekl
(ii) j / vdky }kjk ihfM+r µ deZ/kj; lekl
(iii) vdky vvdky v S f r }a l lkS f r }a l lkSj ihfM+r µ }a} leklkSj ihfM+r µ }a} lekl
(iv) ih + ; Hkko evdky esa ihfM+rµ vO;;hHkko lekl
iz'u 9- f k Q o ks a o ' f f gS] ; ' fuEufyf[kr x|ka'k osQ okD;ks a esa ls oqQN 'kCn fudky fn, x, gSa] ;s 'kCn gj
s , f Y ' f g | ' dks fjDr LFkkuµ^d* ls ^Ä* osQ fy, fn, x, fodYiks a es a 'kkfey gSaA x|ka'k dks
d i kS q fè;kuiwoZd if<+, vkSj lgh fodYi pqudj f ,yf[k,% 5
z b o dh izo`Qfr bZ'oj dh (d) ------------------ v j u ` dk gS vkSj ou izo`Qfr dk ([k) --- --------------------- migkj
j xA euq"; vkSj izo`Qfr (x) ---------------------- s g w j ( kls gh ,d&nwljs ij (?k) --- ------------------------ jgs
SA ` u dks j k ku d; f dh gSaA izo`Qfr us gh euq"; dks laj{k.k iznku fd;k A og izo`Qfr dh (Ä) ---- -----------------
------- n y < ij k x k xksn esa iyk&c<+k vkSj blh ij vkfJr gks x;k A
(d) (i) s ysu A
(ii) Ansu A
(iii) y Aesy A
(iv) [ksy A
([k) (i) ie vuqie A
(ii) Avikj A
(iii) f vxfBr A
(iv) V vVwV A
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(x) (i) k AHkwrdky A
(ii) e orZeku dky A
(iii) vkfndky A
(iv) kHkfo y A"; dky A
(?k) (i) vkfJr A
(ii) w d iwjd A
(iii) Alg;ksxh A
(iv) j fojks/h A
(Ä) (i) o LoPN A
(ii) y Aefyu A
(iii) ? y?kq A
(iv) l lqjE; A
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M [k.M ^x*
iz'u 10- 1 × 55
l te a v s v p g f h da k a d l te a v s v p g f h da k k u; a d bl gqtwe esa vkxs&vkxs py jgs gSa] lkfye vyhA vius da/ksa ij lSykfu;ksa dh bl gqtwe esa vkxs&vkxs py jgs gSa] lkfye vyhA vius da/ksa ij lSykfu;ksa dh
iurjg viu s u d s k B d ; ys ke iQ k s s varghu liQj dks cks> mBk, A ysfdu ;g liQj fiNys reke liQjks a ls fHkUu
S H h & M t x S s s ye g v k gSA HkhM+&HkkM+ dh ftanxh vkSj ruko osQ ekgkSy ls lkfye vyh dk ;g vkf[kjh iyk;u
S v s Q f yh g tnx f gSA vc rks osk ml ou&i{kh dh rjg izo`Qfr esa foyhu gks jgs gSa] tks ftanxh dks vkf[kjh
Q c xhr xkus osQ ckn s k t l v e g r f dh ekSr dh xksn esa tk clk gksA dksbZ vius ftLe dh gjkjr vkSj fny dh
du dj l V kg Q k /M+du nsdj Hkh mls ykSVkuk pkgs rks og i{kh vius liuks a osQ xhr nksckjk oSQls xk
x losQxk A
ZDr | o k o a p mi;ZqDr x|ka'k osQ vk/kj ij lgh fodYiksa dk p;u dhft,µ
(i) rg iQ k ; varghu liQj dk vk'k; gS 1
(d) cgqr yE h ;yEch ;k=kk
([k) Q m ka a e`R;q osQ mijkar vafre ;k=kk
(x) x e HkV taxyks a es a HkVd tkuk
(?k) q gqtwe esa vkxs pyuk
(ii) v h dk f h u Q F k lkfye vyh dk ;g vkf[kjh iyk;u oSQls Fkk \ 1
(d) + s F sviuk dke NksM+ jgs Fks
([k)([k) N + s g N + s g viuk nÝ+rj NksM+ osQ Hkkx jgs Fksviuk nÝ+rj NksM+ osQ Hkkx jgs Fks
(x) n k j l s sfons'k tkdj cl jgs Fks
(?k) ekS k r v s x r osQ vkxks'k esa pys x, A
(iii) f r lkfye fdl ou i{kh dh rjg Fks 1
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(d) a x Atks ca/uks a es s a jg dj xhr xkrk gSA
([k) a y gStks ikuh esa [ksyrk gSA
(x) Dr ` x rk Stks eqDr izo`Qfr esa xhr xkrk gSA
(?k) s p + g tks vkdk'k esa mQ¡pk mM+rk gS A
(iv) z ` l f v dk Q izo`Qfr ls lkfye vyh dk laca/ oSQlk Fkk \\ 1
(d) z m f ; x dh Lrq hizo`Qfr muosQ fy, mi;ksx dh oLrq Fkh
([k)([k) i j Fk iz ij Fkos izo`Qfr ij fot; Ikkuk pkgrs Fksos izo`Qfr ij fot; Ikkuk pkgrs Fks
(x) iz dk gu y g s k rs sos izo`Qfr dk nksgu dj liQy gksuk pkgrs Fks
(?k) iz dk ; Ll u j Fksos izo`Qfr dk vkReh; fgLlk cu dj jgrs Fks
(v) l a s ^liuksa osQ xhrr x k* dk Z xkuk* dk rkRi;Z gS 1
(d)(d) d dkviuk ialnhnk dk;Zviuk ialnhnk dk;Z djukdjuk
([k) kus uhan esa xkus xkuk
(x) a us dk k djxkus eas liuks a dk o.kZu djuk
(?k)(?k) c >wBha ckrs djuk>wBha ckrs djuk
vvFkok
f a S Z a o R g Z s o if a S Z i a o k R g Z s k o vius ifjokj esa eS a dbZ ihf<+;ks a osQ ckn mRiUu gqbZ esjs ifjokj esa izk;% nks lkS o"kZ rd vius ifjokj esa eS a dbZ ihf<+;ks a osQ ckn mRiUu gqbZ esjs ifjokj esa izk;% nks lkS o"kZ rd
k h l S l g iS g s k h l S l ig iS g s dksbZ yM+dh Fkh gh ugha A lquk gS] mlosQ igys yM+fd;ks a dks iSnk gksrs dksbZ yM+dh Fkh gh ugha A lquk gS] mlosQ igys yM+fd;ks a dks iSnk gksrs i gh ije/ke Hkst gh ije/ke Hkst
s j Z w k A o ns h q a e g s j k kZ iw k A o ns h q a e g nsrs FksA fiQj esjs ckck us cgqr nqxk Z&iwtk dh A gekjh oqQy&nsoh nqxkZ Fkha A eSa mRiUu gqbZ nsrs FksA fiQj esjs ckck us cgqr nqxk Z&iwtk dh A gekjh oqQy&nsoh nqxkZ Fkha A eSa mRiUu gqbZ
e h g v q s l ug i k s U y f g rks esjh cM+h [kkfrj gqbZ vkSj eq>s og lc ugha lguk iM+k tks vU; yM+fd;ks a dks lguk
M+ A j j k kj h v j Z kur s iM+rk gSA ifjokj esa ckck iQkjlh vkSj mnwZ tkurs FksA firk us va n z Fk xzsth i<+h FkhA fganh dk
k o kAdksbZ okrkoj.k ugha FkkA
k s f ala{ksi esa mÙkj fy[ks aµ
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(d) s dk Q c u q i D; a ysf[kdk osQ ckck us nqxkZiwtk D;ksa dh \ 1
([k) gy s Q g k S igys yM+fd;ks a osQ iSnk gksus ij D;k djrs Fks vkSj D;ks a\ 2
(x)(x) ^ e o g M ks yM d a s k +^ e o g iM ks U yM d; a s uk +^^ eq>s og lc ugha lguk iM+k tks vU; yM+fd;ksa dks lguk iM+r^^ eq>s og lc ugha lguk iM+k tks vU; yM+fd;ksa dks lguk iM+r k gSA**k gSA** ls ls
s dk k s dk k ysf[kdk dk D;k vk'k; gSysf[kdk dk D;k vk'k; gS\\ 22
iz'u 11iz'u 11-- ' s oQ j ' a oQ a kj fuEufyf[kr iz'uksa osQ la{k si esa mÙkj nhft, AfuEufyf[kr iz'uksa osQ la{k si esa mÙkj nhft, A 2 2 ×× 55
(d) s a s us iuh es oQ k y[ gxq:nso us viuh ,d dfork esa eSuk dks y{; djosQ D;k fy[kk gS\
([k) e c s n k es s kdk u ^esjs cpiu osQ fnu* ikB esa ckiw us ysf[kdk dh dkSu lh oLr q ek¡x yh
vkSj D; a ks a \
(x) s k t k us ; . iz rk Sys[kd dks iz sepan dk twrk iQVus dk D;k dkj.k izrhr gksrk gS\
(?k) yh dks k dh q dh k c M+ lkfye vyh dks if{k;ks a dh nqfu;k dh vksj fdl ckr us eksM+k \\
(Ä) (Ä) y v V us S s k l r d y v V us S s k l cr d; tujy vkmVje us eSuk osQ lkFk oSQlk crkZo fd;k tujy vkmVje us eSuk osQ lkFk oSQlk crkZo fd;k \\
u iz iz'u 12- u r ; ' d s ; Z o j k kffuEufyf[kr dkO;ka'k dks è;kuiwoZd if<+, ,oa ml ij vk/kf r a s Ù µjr iz'uks a osQ mÙkj nhft,µ
5
^cw iy u <dj dh^^cw<+ s ihiy us vkxs c<+dj tqgkj dh]
n q yc kn q y^cjl ckn lqf/ yhUgh*µ^cjl ckn lqf/ yhUgh*µ
v y v ks f j cksyh voqQykbZ yrk vksV gks fdokj dh]
j k y y ; k Qgjlk;k rky yk;k ikuh ijkr Hkj osQA
? uµ o o ? uµ o o es?k vk, cM+s cuµBu osQ l¡cj osQ Aes?k vk, cM+s cuµBu osQ l¡cj osQ A
V h Z f h dhf{kfrt vVkjh xgjkbZ nkfeuh nedh
{ e ks y x e ^{kek djks xk¡B [kqy xbZ vc Hkje dh*]
/ V & j s q sck¡/ VwVk >j&>j feyu osQ vJq <josQA**
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(i) < s v c f dk v j kcw<+ s ihiy us vkxs c<+dj fdldk Lokxr fd;k vkSj D;ks a\ 1
(ii) c kn q y y k , D a d^cjl ckn lqf/ yhUgh*µfdokM+ dh vksV fy, yrk us ,slk D;ks a dgk\ 1
(iii) kuh kr s kRkky ikuh dh ijkr D;ksa ysdj vk;k\ 1
(iv) e dk Hkze dh dkSu x [ bZ ] l f e b A& lh xk¡B [kqy xbZ gS] ftlosQ fy, {kek ek¡xh xbZ gSA 1
(v) dkO l y Q k m f ,mijksDr dkO;ka'k esa ls vuqizkl vyadkj osQ nks mnkgj.k Nk¡fV,A 1
vvvFkokvFkok
^eS k. e x k ^^eSa nf{k.k esa nwj&nwj rd x;k
e s k kn b vkSj eq>s ges'kk ek¡ ;kn vkbZ
{ d s k lH a k{ . d s k lHk a kknf{k.k dks yk¡?k ysuk laHko ugha Fkknf{k.k dks yk¡?k ysuk laHko ugha Fkk
ks N j ¡gksrk Nksj rd igq¡p iikuk
? y ; ? yrks ;ejkt dk ?kj ns[k ysrkrks ;ejkt dk ?kj ns[k ysrk
j H h j sij vkt ft/j Hkh iSj djosQ lksvks
n { ogh nf{k.k fn'kk gks tkrh gS
ea t v ' u y a k ea e t v ' u e y lHkh fn'kkvks a es a ;ejkt osQ vkyh'kku egy gaSlHkh fn'kkvks a es a ;ejkt osQ vkyh'kku egy gaS
o l , lvkSj os lHkh esa ,d lkFk
r v [ o t **viuh ngdrh vk¡[kks a lfgr fojktrs gS aA**
d ' s / f dkO ' s / f mijksDr dkO;ka'k osQ vk/kj ij fuEu imijksDr dkO;ka'k osQ vk/kj ij fuEu i' a os a i a j t' a os a i a j tz'uks a osQ la{k si esa mÙkj nhft,µz'uks a osQ la{k si esa mÙkj nhft,µ
(i) f a { dks y ¡ k gf D; a {k. dks y ¡ k gdfo us ,slk D;ks a dgk gS fd nf{k.k dks yk¡?k ysuk laHko ugha gSdfo us ,slk D;ks a dgk gS fd nf{k.k dks yk¡?k ysuk laHko ugha gS\\ 11
(ii) f Q v g k f ' a Z f Q v g kk k f ' D; a Z dfo osQ vuqlkj vkt gj fn'kk nf{k.k fn'kk D;ks a gks xbZ gSdfo osQ vuqlkj vkt gj fn'kk nf{k.k fn'kk D;ks a gks xbZ gS\\ 22
(iii) k H h ;k Hkk hfuEu iafDr;ks a dk Hkko Li"V dhft,µfuEu iafDr;ks a dk Hkko Li"V dhft,µ 22
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^l n v a s o k h ^^lHkh fn'kkvks a es a ;ejkt osQ vkyh'kku egy gSa
v l a kSj os lHkh esa ,d lkFk
r v [ o tr *viuh ngdrh vk¡[kks a lfgr fojktrs gS aA**
iz u iz'u 13- s ' oQ a kj [fuEufyf[kr iz'uksa osQ la{k si esa mÙkj fyf[k,µ
(i) x es o x Cc l yk D d g^xzkeJh* dfork esa dfo us ^xk¡o dks ejdr fMCcs lk [kqyk* D;ksa dgk gS\ 1
(ii) bl es bl es ^bl fotu esa ^bl fotu esa f j i kikf j ize iznwj O;kikfjd uxj ls iz se dh fiz;nwj O;kikfjd uxj ls iz se dh fiz; Hkw v / Hkw v / Hkwfe mitkmQ vf/d Hkwfe mitkmQ vf/d
S Dr; a s j Ñf s f d g kS gS*µiafDr;ks a es a uxjh; laLÑfr osQ izfr dfo dk D;k vkØks'k gS vkSj D;kas\\ 2
(iii) k oQ M gkn ku gcPpksa dk dke ij tkuk /jrh osQ ,d cM+s gknls osQ leku D;ks a gS\ 2
iz u iz'u 14- ' o h Z y h m oQ V dks h p g a ^'kgjoklh fliZQ ekVh okyh dks ugha] mlosQ daVj dks Hkh vPNh rjg igpkurs gS aA*
vkidh s dkS k g Vh * c rs le> ls os dkSu&ls dkj.k jgs gksaxs ftuosQ jgrs ^ekVh okyh* dks lc igpkurs
Fks\ 5
kkvFkokvFkok
j M~ * s dh kFk r bZ ; ^jh<+ dh gM~Mh* ,dkadh osQ 'kh"kZd dh lkFkZdrk Li"V djrs gq, dksbZ vU; mfpr
h rkb,'kh"kZd crkb,A
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[k.M ^?k*[k.M ^?k*[k.M ^?k*[k.M ^?k*
i=kµys[kui=kµys[kui=kµys[kui=kµys[ku
iz'u 15iz'u 15iz'u 15iz'u 15---- vkiosQ fon~;ky; esa [ksy&fnol euk;vkiosQ fon~;ky; esa [ksy&fnol euk;vkiosQ fon~;ky; esa [ksy&fnol euk;vkiosQ fon~;ky; esa [ksy&fnol euk;k x;k A vkius dbZ [ksy&izfr;ksfxrkvks a es a fgLlk k x;k A vkius dbZ [ksy&izfr;ksfxrkvks a es a fgLlk k x;k A vkius dbZ [ksy&izfr;ksfxrkvks a es a fgLlk k x;k A vkius dbZ [ksy&izfr;ksfxrkvks a es a fgLlk
ysdj iqjLdkj thrs A vius iwoZ [ksy&f'k{kd dks i=k fy[kdj viuh miyfC/ osQ ckjs ysdj iqjLdkj thrs A vius iwoZ [ksy&f'k{kd dks i=k fy[kdj viuh miyfC/ osQ ckjs ysdj iqjLdkj thrs A vius iwoZ [ksy&f'k{kd dks i=k fy[kdj viuh miyfC/ osQ ckjs ysdj iqjLdkj thrs A vius iwoZ [ksy&f'k{kd dks i=k fy[kdj viuh miyfC/ osQ ckjs
es a crkb, rFkk vkxs Hkh muosQ fn'kkfuns Z'k rFkk vk'khokZn dh bPNk O;Dr dhft, Aesa crkb, rFkk vkxs Hkh muosQ fn'kkfuns Z'k rFkk vk'khokZn dh bPNk O;Dr dhft, Aesa crkb, rFkk vkxs Hkh muosQ fn'kkfuns Z'k rFkk vk'khokZn dh bPNk O;Dr dhft, Aesa crkb, rFkk vkxs Hkh muosQ fn'kkfuns Z'k rFkk vk'khokZn dh bPNk O;Dr dhft, A
(5)(5)(5)(5)
vFkokvFkokvFkokvFkok
vR;f/d xehZ osQ dkj.k izkFkZuvR;f/d xehZ osQ dkj.k izkFkZuvR;f/d xehZ osQ dkj.k izkFkZuvR;f/d xehZ osQ dkj.k izkFkZuk lHkk esa vkidh d{kk dk ,d fon~;kFkhZ csgk s'k gks x;k k lHkk esa vkidh d{kk dk ,d fon~;kFkhZ csgk s'k gks x;k k lHkk esa vkidh d{kk dk ,d fon~;kFkhZ csgk s'k gks x;k k lHkk esa vkidh d{kk dk ,d fon~;kFkhZ csgk s'k gks x;k
A rst /wi esa fon~;ky; vkus&tkus dh otg ls dbZ fo|kfFkZ;k s dks yw Hkh yx pqdh gSA A rst /wi esa fon~;ky; vkus&tkus dh otg ls dbZ fo|kfFkZ;k s dks yw Hkh yx pqdh gSA A rst /wi esa fon~;ky; vkus&tkus dh otg ls dbZ fo|kfFkZ;k s dks yw Hkh yx pqdh gSA A rst /wi esa fon~;ky; vkus&tkus dh otg ls dbZ fo|kfFkZ;k s dks yw Hkh yx pqdh gSA
i=k fy[kdj iz/kukpk;Z ls vuqjks/ dhft, fd xehZ dh NqfV~V;k¡ iwoZ fu/kZfjr le; ls i=k fy[kdj iz/kukpk;Z ls vuqjks/ dhft, fd xehZ dh NqfV~V;k¡ iwoZ fu/kZfjr le; ls i=k fy[kdj iz/kukpk;Z ls vuqjks/ dhft, fd xehZ dh NqfV~V;k¡ iwoZ fu/kZfjr le; ls i=k fy[kdj iz/kukpk;Z ls vuqjks/ dhft, fd xehZ dh NqfV~V;k¡ iwoZ fu/kZfjr le; ls
nks lIrkg igys dj nh tk,¡ Anks lIrkg igys dj nh tk,¡ Anks lIrkg igys dj nh tk,¡ Anks lIrkg igys dj nh tk,¡ A
fuca/ fuca/ fuca/ fuca/
iz'iz'iz'iz'u 16u 16u 16u 16---- uhps fn, x, laosQrµfcUnqvks a osQ vk/kj ij fuca/ fy[ks Auhps fn, x, laosQrµfcUnqvks a osQ vk/kj ij fuca/ fy[ks Auhps fn, x, laosQrµfcUnqvks a osQ vk/kj ij fuca/ fy[ks Auhps fn, x, laosQrµfcUnqvks a osQ vk/kj ij fuca/ fy[ks A (5)(5)(5)(5)
fo|kfFk Z;k s a osQ thou esa baVjusV dh Hkwfedkfo|kfFk Z;k s a osQ thou esa baVjusV dh Hkwfedkfo|kfFk Z;k s a osQ thou esa baVjusV dh Hkwfedkfo|kfFk Z;k s a osQ thou esa baVjusV dh Hkwfedk
baVjusV D;k gSbaVjusV D;k gSbaVjusV D;k gSbaVjusV D;k gS\\\\----------------------------------------baVjusV dk iSQykobaVjusV dk iSQykobaVjusV dk iSQykobaVjusV dk iSQyko----------------------------------------------------------------iQk;ns ,oe~ uqdlkuiQk;ns ,oe~ uqdlkuiQk;ns ,oe~ uqdlkuiQk;ns ,oe~ uqdlku--------------------------------------------------------------------
v'yhyrk ,oe~ fd'kk sj euv'yhyrk ,oe~ fd'kk sj euv'yhyrk ,oe~ fd'kk sj euv'yhyrk ,oe~ fd'kk sj eu------------------------------------------------------------------------------------vk/vk/vk/vk/qfud thou dh vfuok;Zrk osQ :i esa qfud thou dh vfuok;Zrk osQ :i esa qfud thou dh vfuok;Zrk osQ :i esa qfud thou dh vfuok;Zrk osQ :i esa
baVjusVbaVjusVbaVjusVbaVjusV--------------------------------------------------------------------------------------------fu"d"kZ Afu"d"kZ Afu"d"kZ Afu"d"kZ A
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^i<+ksxs fy[kksxs rks cuksxs uokc] [ksyksxs owQnksxs rks cuksxs [+kjkc* ^i<+ksxs fy[kksxs rks cuksxs uokc] [ksyksxs owQnksxs rks cuksxs [+kjkc* ^i<+ksxs fy[kksxs rks cuksxs uokc] [ksyksxs owQnksxs rks cuksxs [+kjkc* ^i<+ksxs fy[kksxs rks cuksxs uokc] [ksyksxs owQnksxs rks cuksxs [+kjkc*
mijksDr iafDr dk vk'k;mijksDr iafDr dk vk'k;mijksDr iafDr dk vk'k;mijksDr iafDr dk vk'k;----------------------------------------jkstxkuj osQ :i esa [ksyuk ,oe~ i<+ukjkstxkuj osQ :i esa [ksyuk ,oe~ i<+ukjkstxkuj osQ :i esa [ksyuk ,oe~ i<+ukjkstxkuj osQ :i esa [ksyuk ,oe~ i<+uk--------------------------------------------fdlh Hkh fdlh Hkh fdlh Hkh fdlh Hkh
{ks=k esa li{ks=k esa li{ks=k esa li{ks=k esa liQyrk ,oe~ ifjJe dk laca/Qyrk ,oe~ ifjJe dk laca/Qyrk ,oe~ ifjJe dk laca/Qyrk ,oe~ ifjJe dk laca/------------------------------------------------orZeku le; dh ek¡xorZeku le; dh ek¡xorZeku le; dh ek¡xorZeku le; dh ek¡x----------------------------------------------------fu"d"kZ Afu"d"kZ Afu"d"kZ Afu"d"kZ A
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