sat paper-1

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]ghj ; 6 Dr. Hfx. Hfres ; 600

OJNJRFL GNQ]RZA]GINQ

6. ]dj biieljt ogvjn gn tdj jxfhgnftgin dfll gs tdj Vujstgin Pfpjr.

2. F stumjnt dfs ti wrgtj dgs)djr fnswjrs gn tdj IHR sdjjt by mfrejngno tdj fppriprgftj bubblj wgtd tdj djlp ic

DB Pjnagl fs tdj airrjat fnswjr$s' ic tdj qujstgin fttjhptjm.

1. ]dj qujstgin pfpjr aintfgns 600 qujstgins, =0 Vujstgins crih Qagjnaj $6(=0', 20 Vujstgins crih

hftdfhtgas $=6(30', =0 Vujstgin crih Qiagfl Qagjnaj $36(600', jfad afrrgjs inj hfre.

=. Blfne pfpjrs, algp bifrms, lio tfbljs, slgmj rulj, aflaulftirs, hibglj ir fny itdjr jljatringa ofmojts gn fny

cirh gs nit flliwjm.

:. _rgtj yiur Nfhj # Rill Ni. gn tdj spfaj privgmjm gn tdj bittih ic tdgs biieljt.

3. ]djrj gs ni njoftgvj hfregno. Mi nit spjnm tii huad tghj in f pfrtgaulfr qujstgin.

?. Bjcirj fnswjrgno tdj pfpjr, cgll up tdj rjqugrjm mjtfgls gn tdj blfne spfaj privgmjm gn tdj fnswjr sdjjt.

4. Gn afsj ic fny mgsputj, tdj fnswjr sdjjt fvfglfblj wgtd tdj gnstgtutj sdfll bj cgnfl.

FLL GNMGF N]QJ $Q]FOJ(GG' ]JQ] QJRGJQ

HIAE ]JQ] ! 6

ALFQQ (T

QADILFQ]GA FP]G]ZMJ ]JQ] $QF]'

PAAP Djfm Iccgaj ;

Fmmrjss ; Lfesdyf, A(4, Nursjry Plits, ]flwfnmg, Eitf $Rfkfstdfn'(12=00:

]jl. Ni. ; %0?==(2=1=?2?,442=0?4110, Cfx ; 0?==(2=2?6=3 | _jbsgtj ; www.paap.rjsinfnaj.fa.gn

J(hfgl ; [email protected]
http://www.pccp.resonance.ac.in/

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Qpfaj Cir Riuod _ire

QF]YN]QJ Q]FOJ(GG HIAE ]JQ] PFPJR(6YPFOJ ! 6

QAGJNAJ6. Gn mgstfnaj(tghj orfpd

$F' Mgstfnaj gs tfejn flino tdj T( fxgs $B' ]ghj gs tfejn flino tdj W(fxgs$A' Qtrfgodt lgnj gnmgaftjs ungcirh hitgin $M' Qtrfgodt lgnj gnmgaftjs nin(ungcirh hitgin

2. F trfgn trfvjls =0 eh ft f ungcirh spjjm ic 10 eh d6. Gts fvjrfoj spjjm fctjr trfvjllgno fnitdjr =0 ehgs =: eh d6cir tdj wdilj kiurnjy. Gts spjjm gn tdj sjainm dflc ic tdj kiurnjy gs$F' =: eh d6 $B' 70 eh d6

$A' 30 eh d6 $M' 10 eh d6

1. Fn ftdljtj aihpljtjs inj riunm ic f agraulfr trfae ic rfmgus R gn =0 s. Dgs mgsplfajhjnt ft tdj jnm ic 2

hgnutjs wgll bj ;

$F' 2R $B' 3R $A' 2R $M' zjri

=. Adiisj fny inj ic tdj cilliwgno ciur rjspinsjs ;$f' Gc fssjrtgin gs truj fnm rjfsin gs f airrjat jxplfnftgin ic fssjrtgin.

$b' Gc fssjrtgin gs truj fnm rjfsin gs nit f airrjat jxplfnftgin ic fssjrtgin.$a' Gc fssjrtgin gs truj but rjfsin gs cflsj.$m' Gc bitd fssjrtgin fnm rjfsin frj cflsj.Fssjrtgin ;( Ciraj ic crgatgin mjpjnms in tdj fatufl frjf ic aintfat.Rjfsin ; Lfrojr tdj frjf ic aintfat, lfrojr gs ippisgtgin ti hitgin.

$F' f $B' b $A' a $M' m

:. F bulljt ic hfss 0.06 eo gs cgrjm crih f oun wjgodgno :.0 eo. Gc tdj spjjm ic tdj bulljt gs 2:0 h)s, aflaulftj

tdj spjjm wgtd wdgad tdj oun rjaigls ;

$F' 0.:0 h)s $B' 0.2: h)s $A' % 0.0: h)s $M' % 0.2: h)s

3. ]dj wjgodt ic f bimy gs 620 N in tdj jfrtd. Gc gt gs tfejn ti tdj hiin, gts wjgodt fnm hfss wgll bj fbiut$]fej o

jfrtd8 60 h)s2' ;

$F' 620 N, 620 eo $B' 30 N, 62 eo $A' 20 N, 62 eo $M' ?20 N, 620 eo

?. ]wi silgms T fnm W clift gn wftjr. T clifts wgtd dflc ic gts viluhj subhjrojm wdglj W clifts wgtd inj(tdgrm icgts viluhj iut ic wftjr. ]dj mjnsgtgjs ic T fnm W frj gn tdj rftgi ic ;$F' = ; 1 $B' 1 ; = $A' 2 ; 1 $M' 6 ; 1

4. ]dj spjjm ic siunm gn f ajrtfgn hjmguh gs 730 h)s. Gc 1300 wfvjs pfss ivjr f ajrtfgn pignt gn 6 hgnutj,

tdj wfvjljnotd gs ;

$F' 2 h $B' = h $A' 4 h $M' 63 h

QF] PFPJR

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7. Gc tdj rftgi ic tdj egnjtga jnjrogjs ic bimgjs ic hfssjs h6# h

2gs = ; 7. ]djn tdj rftgi ic tdj spjjm ic tdj

bimgjs ic hfssjs h6

# h2

gs ;

$F' = h6

; 7 h2

$B' 2h2 ; 6h1 $A' = ; 7 $M' 63 ; 46

60. F bimy ic hfss 60 eo gs hivgno wgtd gngtgfl vjliagty 60 h)sja. ti gnarjfsj gts vjliagty upti 20 h)s, wire

minj wgll bj ;

$F' 6:00 kiulj $B' 6:0 kiulj $A' 2:0 kiulj $M' 100 kiulj

66. Aflaulftj tdj jqugvfljnt rjsgstfnaj ic agraugt mgforfh bjtwjjn F fnm B sdiwn gn tdj cgourj.

$F' 6162 $B'

6261 $A'

6260 $M'

626=

62. F oflvfnihjtjr afn bj ainvjrtjm gnti f vilthjtjr by ainnjatgno ;

$F' F dgod rjsgstfnaj gn sjrgjs wgtd tdj oflvfnihjtjr

$B' F dgod rjsgstfnaj gn pfrflljl wgtd tdj oflvfnihjtjr

$A' f liw rjsgstfnaj gn sjrgjs wgtd tdj oflvfnihjtjr

$M' f liw rjsgstfnaj gn pfrflljl wgtd tdj oflvfnihjtjr

61. F lgnjfr ibkjat ic 60 ah ljnotd lgjs flino tdj fxgs ic f ainafvj hgrrir ic rfmgus ic aurvfturj 10 ah, tdjnjfrjr jnm lygno 64 ah crih tdjgr hgrrir. Cgnm tdj ljnotd ic ghfoj ;$F' :?.2ah $B' :2.? aha $A' :=.? ah $M' ::.? ah

6=. ]dj ciafl ljnotd ic f ainafvj hgrrir gs c fnm tdj mgstfnaj crih tdj ibkjat ti tdj prgnagpfl ciaus gs f. ]djhfongtumj ic hfongcgaftgin ibtfgnjm wgll bj ;

$F' $c % f')c $B' c )f $A' f)c $M' c2)f2

6:. ]dj mgrjatgin ic hfonjtga cgjlm lgnj gn afsj ic f bfr hfonjt ft pignt F # B frj ; ]dj mgrjatgin ic hfonjtga cgjlm l gnj

gn afsj ic f bfr hfonjt ft pignt F # B frj ;

Q .F N

B

$F' ft F fnm ft B $B' ft F fnm ft B$A' ft F fnm ft B $M' ft F fnm ft B

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63. Cir wdgad spjagjs, Bidrs tdjiry mijs nit fpply 9

$F' D $B' Bj $A' Dj% $M' Lg2%.

6?. ]dj rftgi ic nualjins gn I63 fnm I64 gs ;

$F' 4)7 $B' =): $A' 7)4 $M' 6

64. Jssjntgfl ainstgtujnt ic fhflofh gs (

$F' fn fleflg hjtfl $B' sglvjr $A' hjraury $M' grin

67. Gn Qilvfy priajss tdj by primuats ibtfgnjm crih rjaivjry tiwjr frj ;

$F' ND=Al, AfI, AI

2$B' AfI, Nf

2AI

1, AfAl

2$A' AfAl

2, AI

2, ND

1$M' Nf

2AI

1,AfAl

2, AI

2

20. Aippjr hjtfl rjfats wgtd ngtrga fagm, faairmgno ti tdj rjfatgin

1Au$s' % 4DNI1$fq'1Au$NI

1'

2$fq' % 2NI$o' % =D

2I$'

Gc 64.?: o Au$NI1'

2gs jvjntuflly ibtfgnjm, tdjn diw hfny orfhs ic ngtrga ixgmj, wiulm dfvj flsi cirhjm

faairmgno ti tdj prjajjmgno jquftgin 9

$F' 2o $B' =o $A' 3o $M' 4o

26. 2.?3 o ic sglvjr afrbinftj in bjgno strinoly djftjm ygjlms f rjsgmuj wjgodgno (

$F' 2.63o $B' 2.=4 o $A' 2.12 o $M' 2.3= o

22. Gn wdgad ic tdj cilliwgno frrfnojhjnts, tdj irmjr gs nit airrjat faairmgno ti tdj pripjrty gnmgaftjm fofgnst

gt;

$F' Gnarjfsgno sgzj ; Fl1% < Ho2% < Nf% < C.

$B' Gnarjfsgno G.J.6

; B < A < N < I.

$A' Gnarjfsgno J.F. ; G < Br < C < Al.

$M' Gnarjfsgno hjtfllga rfmgus ; Lg < Nf < E < Rb.

21. ]dj GZPFA nfhj ic(

AD1 A$AD

1' $ID' AD

2 AD$AD

1' AD

1gs (

$F' 2,=(Mghjtdylpjntfn(2(il $B' 2,=( Mghjtdylpjntfn(=(il

$A' 2,2(Mghjtdylbutfnj $M' Gsipjntfnil

2=. _dgad ic tdj cilliwgno primuajs ciur hiniadliri mjrgvftgvjs in crjj rfmgafl adlirgnftgin9

$F' 2, 2(mghjtdylbutfnj $B' Pjntfnj

$A' 2, 2 mghjtdylpripfnj $M' 2(hjtdylbutfnj

2:. _dgad ic tdj cilliwgno aihpiunms aintfgns 60, 20, 10 fs wjll fs =0 afrbin ftihs 9

$F' nji(Pjntfnj $B' 2(Hjtdyl pjntfnj

$A' 2,1(Mghjtdyl butfnj $M' 2,2,1(]rghjtdyl pjntfnj

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QF]YN]QJ Q]FOJ(GG HIAE ]JQ] PFPJR(6YPFOJ ! =

23. Pditisyntdjsgs gs f priajss gn wdgad

$F' AI2 gs rjmuajm ti afrbidymrftj $B' NFMD gs rjmuajm ti NFM

$A' F]P gs ojnjrftjm $M' Ixgmftgvj pdispdirylftgin iaaurs

2?. ]dj fbglgty ic primuagno ainajntrftjm $Dypjrtinga' urgnj gn vjrtjbrftjs ojnjrflly mjpjnms in

$F' Frjf ic Biwhfn/s afpsulj jpgtdjlguh $B' Ljnotd ic prixghfl ainvulftjm tubulj

$A' Ljnotd ic liip ic Djnlj $M' Afpgllfry njtwire cirhgno olihjrulus

24. F pjrsin cjjls ni sjnsftgin wdjn dj puts dgs dfnm ivjr clfhj, tdj pfrt ic tdj brfgn wdgad dfs mfhfojm$F' Ajrjbjlluh $B' Hjmullf iblinoftf $A' Ajrjbjruh $M' Dypitdflfhus

27. Qjarjtgin ic jstriojn gs prihitjm by

$F' DAO $B' CQD $A' Priojstjrinj $M' ]jstistjrinj

10. Hftad tdj cilliwgno ailuhn

Ailuhn G Ailuhn GG

$g' Ailuhnfr jpgtdjlguh f. Hultgnualjftj fnm unbrfnadjm

$gg' Qqufhius jpgtdjlguh b. Qjarjtgin fnm fbsirptgin

$ggg' Qtrgftjm husaljs a. Zngnualjftj fnm brfnadjm

$gv' Afrmgfa husaljs m. Jxadfnoj ic hftjrgfl

$v' Qhiitd husaljs j. Qtrgftgins frj fbsjnt

c. Lgngno ic ivgmuat$F' g m, gg f, ggg f, gv j, v a $B' g b, gg m, ggg f, gv a, v j

$A' g c, gg m, ggg f, gv a, v j $M' g m, gg c, ggg a, gv j, v f

16. Hfegno fntg(vgrfl mruos gs hirj mgccgault tdfn hfegno fntg(bfatjrgfl hjmgagnjs bjafusj

$F' Sgrus hfej usj ic dist hfadgnjry

$B' Sgrusjs frj in birmjr lgnj ic lgvgno fnm nin(lgvgno

$A' Sgrusjs dfvj cjw bgiadjhgafl hjadfngshs ic tdjgr iwn

$M' Sgrusjs dfvj f pritjgn aift

12. _dgad ic tdj cilliwgno stftjhjnt gs airrjat

G. Z.S lgodt afn bj utglgsjm gn pditi syntdjsgs

GG. Ipjngno ic stihftf gs rjsult ic jnmishisgs gn oufrm ajlls

GGG. Rftj ic pditisyntdjsgs gs liw gn plfnts suad fs djrbs, djrbs wdgad frj oriwgno unmjr tdj afnipy ic

itdjr trjjs

GS. Sfrgjoftjm ljfvjs sdiw ni pditisyntdjsgs

$F' G # GG $B' G, GG # GGG $A' G # GS $M' GG # GGG

11. Ainsgmjr tdj cilliwgno stftjhjnts

G. Plfnts dfvgno wjll mgccjrjntgftjm plfnt bimy

GG. Hfrsgljf fnm dirsjtfgls dfvj vfsaulfr tgssuj

GGG. Plfnts mi nit aintfgn sjjms

GS. Plfnts dfvj nfejm sjjms

_dgad ic tdj cilliwgno stftjhjnts frj truj rjofrmgno ptjrgmipdytjs

$F' G # GGG $B' GG # GGG $A' G, GG # GGG $M' G # GS

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QF]YN]QJ Q]FOJ(GG HIAE ]JQ] PFPJR(6YPFOJ ! :

1=. Gmjntgcy tdj F, B # A gn ogvjn cgourj

ND1

FNgtriojn

Fnghfls

Plfnts

Ngtrftjs

NI2

B

mjngt

rgcgaf

tgin

A

$F' Fhhingcgaftgin, Ngtribfatjr, Ngtrisihinfs $B' Ngtrgcgaftgin, Ngtrisihinfs, Ngtribfatjr

$A' Fhhingcgaftgin, Ngtrisihinfs, Ngtribfatjr $M' Fhhingcgaftgin, Ngtrgcgaftgin, Fssghglftgin

1:. _dgad ic tdj cilliwgno gs nit f mjsgrfblj forinihga trfgt

$F' Gnarjfsjm sdjlc lgcj gn crugts fnm vjojtfbljs

$B' Rjsgstfnaj vfrgjtgjs ti gnsjats

$A' Qdirt plfnt sgzj cir cimmjr arips

$M' Bfegno quflgty gn wdjft

13. _dgad ic tdj cilliwgno vgtfhgns gs jxalusgvjly cgnm gn cgsd hjft

$F' Sgt B6 $B' Sgt B62 $A' Sgt B62 fnm F $M' Ngfagn # Sgt F

1?. Hfrsdjll fnm _frrjn mgsaivjrjm tdft pjptga ulajr gs nit f adringa mgsjfsj gt afn bj aurjm wgtd trjfthjnt

ic fntgbgitgas, wdy 9

$F' Bjafusj gt wfs afusjm by vgrus

$B' Bjafsuj fntgbgitgas gndgbgt primuatgin ic DAl

$A' Bjafusj gt wfs afusjm by bfatjrgf Djlglibfatjr pylirg

$M' Bjafusj gt wfs afusjm by stfpdyliaiaag

14. Jrytdriblfstisgs cijtflgs gs sjjn gn ($F' Rd hitdjr # Rd % cftdjr

$B' Rd hitdjr # Rd cftdjr

$A' Rd % hitdjr # Rd cftdjr

$M' Fll ic tdj fbivj

17. _dgad ic tdj cilliwgno ic jvilutginfry hjadfngshs fat ti sliw ir prjvjnt tdj jvilutgin ic rjprimuatgvj

gsilftgin

$F' Nfturfl Qjljatgin $B' Ojnj Cliw $A' Hutftgin $M' Ojnjtga mrgct

=0. ]dj cilms ic plfshf hjhbrfnj gn bfatjrgfl ajlls frj eniwn fs

$F' jpgsihjs $B' hjsisihjs $A' spdjrisihjs $M' farisihjs

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QF]YN]QJ Q]FOJ(GG HIAE ]JQ] PFPJR(6YPFOJ ! ?

=3. ]dj frjf jnalisjm wgtdgn tdj aurvj | x| % | y | 8 6, gs ;

$F' 6 sq. ungts $B' 2 sq. ungts $A' 1 sq. ungts $M' = sq. ungts.

=?. Gn tdj cgourj FJ ; JB 8 6; 2 fnm BM ; MA 8 : ; 1. Cgnm JO ; OA.

F

B MA

O

J

$F' : ; 7 $B' 2 ; 1 $A' 1 ; 2 $M' Afnnit bj mjtjrhgnjm

=4. ]dj cgrst tjrh ic f O.P. gs ?, tdj lfst tjrh gs :3? fnm suh ic tjrhs gs 4=?. Cgnm tdj aihhin rftgi ic

tdj O.P.

$F' 1 $B' 2 $A' = $M' 3

=7. ]dj riits ic tdj jquftgin 02xx 16

1

2

frj

$F' 6,= $B' 6, = $A' 6, 4 $M' 6, 4

:0. Ljt , bj tdj riits ic tdj jquftgin x 2 px % r 8 0 fnm2

, 2 bj tdj riits ic tdj jquftgin

x2 qx % r 8 0. ]djn tdj vfluj ic r gs ;

$F'7

2$p q' $2q p' $B'

7

2$q 2p' $2p q'

$A'7

2$q 2p' $2q p' $M'

7

2$2p q' $2q p'

:6. ]dj nuhbjr ic trgpljts $f, b, a' ic tdj pisgtgvj gntjojr, wdgad sftgscy sghultfnjius jquftginfb % ba 8 == # fa % ba 8 21$F' 6 $B' 2 $A' = $M' Gncgngtj silutgins

:2. Diw hfny pfgrs ic pisgtgvj gntjojr $n, h' wgtd n h wdgad sftgscy tdj jquftgin hn 8 =$n % h', gs ;$F' 6 $B' 2 $A' 1 $M' =

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:1. Ljt 8FsgnFtfn

FsgnFtfn22

22

fnm

8FaisFait

FaisFait22

22

, $F gs fautj fnolj' frj tdj riits ic tdj qufmrftga jquftgin wdisj mgsarghgnfnt gs M,

tdjn tdj hist fppriprgftj adigaj, gs$F' M > 0 $B' M 0 $A' M 8 0 $M' M < 0

:=. Ljt f mjnitjs tdj vfluj ic sja 30. b mjnitjs tdj vfluj ic q suad tdft p %

r

6q

6

867

2:wdjrj p, q, r frj

pisgtgvj gntjojr. a mjnitjs tdj vfluj ic ait210 % aisja10 fnm m mjnitjs tdj ljnotd ic sgmj PV gn tdjcgourj sdiw, ogvjn tdj pjrghjtjr ic PVR gs 20, tdft ic PRQ gs 67 fnm PQ 8 7. ]dj vfluj ic f % b % a m gs jqufl ti ;

V

R

Q

P

xy

y

x

$F' 6 $B'2

?$A'

2

7$M'

2

66

::. ]wi pfrflljl lgnjs frj inj ungt fpfrt. F agralj ic rfmgus 2 tiuadjs inj ic tdj lgnjs fnm auts tdj itdjr lgnj.

]dj frjf ic tdj agraulfr afp bjtwjjn tdj twi pfrflljl lgnjs afn bj wrgttjn gn crih ic1

f b 1 . ]dj suh

$f % b' ic tdj twi gntjojrs f fnm b jqufl ti ;

$F' 1 $B' = $A' : $M' 3

:3. ]drjj pfrflljl lgnjs 6,

2fnm

1frj mrfwn tdriuod tdj vjrtgajs F, B fnm A ic f squfrj FBAM. Gc tdj

mgstfnaj bjtwjjn 6

fnm 2

gs ? fnm bjtwjjn 2

fnm 1

gs 62, tdjn tdj frjf ic tdj squfrj FBAM gs ;$F' 671 $B' 637 $A' 673 $M' 22:

:?. Agraljs wgtd ajntrjs I, I fnm P jfad tfnojnt ic tdj lgnj L fnm flsi hutuflly tfnojnt. Gc tdj rfmgg ic agraljI fnm agralj I frj jqufl fnm tdj rfmgus ic tdj argalj P gs 3, tdjn tdj rfmgus ic tdj lfrojr agralj gs ;

I I/

P

L

$F' 22 $B' 21 $A' 2= $M' 2:

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:4. FBAM $gn irmjr' gs f rjatfnolj wgtd FB 8 AM 8:

62fnm BA 8 MF 8 :. Pignt P gs tfejn in FM suad tdft

BPA 8 70. ]dj vfluj ic $BP % PA' gs jqufl ti ;

$F' : $B' 3 $A' ? $M' 4

:7. F aingafl vjssjl ic rfmgus 3 ah fnm djgodt 4 ah gs aihpljtjly cglljm wgtd wftjr. F hjtfl spdjrj gs niw

liwjrjm gnti tdj wftjr. ]dj sgzj ic tdj spdjrj gs suad tdft wdjn gt tiuadjs tdj gnnjr surcfaj, gt kust ojtsghhjrsjm.]dj crfatgin ic wftjr tdft ivjrcliws crih tdj aingafl vjssjl gs ;

$F'4

1$B'

4

:$A'

4

?$M'

63

:

30. Gc f % b % a 8 0, tdjn 222222

===

faabbf

abf

dfs tdj vfluj jqufl ti

$F' 6 $B' 2 $A' 1 $M' =

QIAGFL QAGJNAJ36. Hftad tdj cilliwgno

F B

6. Kidn Liaej $f' ]dj Qiagfl Aintrfat

2. Riussjfu $b' ]dj Qpgrgt ic tdj Lfws

1. Hintjsqugju $a' _dft gs tdj tdgrm Jstftj

=. Fbbj Qgjyjs $m' Fprgl ]djsgs

$j' ]wi ]rjftgsjs ic Oivjrnhjnt

$F' 6j, 2b, 1f, =m $B' 6f, 2b, 1a, =m

$A' 6j, 2f, 1a, =b $M' 6a, 2b, 1j, =f

32. F ]rgpfrtgtj pfat wfs sgonjm bjtwjjn

$F' Ojrhfny, Crfnaj # Zngtjm Egnomih $B' Crfnaj, ZE # ZQF

$A' Ojrhfny, Gtfly # Kfpfn $M' Gtfly, Kfpfn # ZE

31. Fssjrtgin $F' ; Lgbjrfls wjrj nit Mjhiarfts

Rjfsin $R' ; ]djy mi nit bjlgjvj gn Zngvjrsfl Fmult Crfnadgsj. ]djy cjlt hjn ic pripjrty sdiulm

dfvj tdj vitj

$F' Bitd F # R frj airrjat fnm R gs tdj airrjat jxplfnftgin ic F.

$B' Bitd F # R frj airrjat but R gs nit tdj airrjat jxplfnftgin ic F

$A' F gs truj R gs cflsj

$M' F gs cflsj R gs truj

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3=. _dgad ic tdj cilliwgno jainihga fnm pilgtgafl sgtuftgins wjrj arjftjm gn Gnmgf muj ti Cgrst _irlm _fr 9

$6' Cirajm rjarugthjnt

$2' Jxtrjhj dfrmsdgp cir aihhin pjiplj

$1' Gnarjfsjm mjcjnaj jxpjnmgturj

$=' Gnaihj tfx wfs gntrimuajm

_dgad inj gs airrjat 9

$F' 6, = $B' 6, 1, = $A' 6, 2, 1 $M' 6, 2, 1, =

3:. Fssjrtgin $F' ; Fll siagfl oriups wjrj nit hivjm by tdj fbstrfat ainajpt ic Qwfrfk. Zntiuadfbljswfs inj suad oriup

Rjfsin $R' ; ]dj Ainorjss dfm gonirjm tdj mflgts, cir cjfr ic iccjnmgno tdj sfnftfngs, tdjainsjrvftgvj dgod(afstj Dgnmus.

$F' bitd F # R frj airrjat fnm R gs tdj airrjat jxplfnftgin ic F.$B' bitd F # R frj airrjat but R gs nit tdj airrjat jxplfnftgin ic F$A' F gs truj R gs cflsj$M' F gs cflsj R gs truj

33. ]dj hfgn mjhfnms ic Bfbf Rfhadfnmrf gn Fwfmd cir pjfsfnts wjrj

$6' Rjmuatgin ic Rjvjnuj$2' Fbilgtgin ic Bjofr$1' Qiagfl Byiaitt ic ipprjssgvj lfnmlirms$=' Cirjst rgodts cir tdj vgllfojrs

_dgad inj gs airrjat 9

$F' 6, 2 $B' 1, = $A' 6, 2, 1 $M' 6, 2, 1, =

3?. ]dj gmjf ic Ofrmjn agty wfs mjvjlipjm by $F' Jbjnjzjr Diwfrm $B' Bfrry Pfrejr $A' _gllgfn Dirney $M' Rfyhinm Znwgn

34. Prgntgno gs tdj ultghftj ogct ic Oim fnm tdj orjftjst inj ]dj stftjhjnt ic wdgad siagfl rjcirhjr$F' Lutdjr $B' Efrl Hfrx$A' Ljngn $M' Ninj ic tdjsj

37. _djn mgm Kidn Outjnbjro mjvjlipjm cgrst prgntgno prjss $F' 6=10 $B' 6::0 $A' 6110 $M' ninj ic tdjsj

?0. Hftad tdj cilliwgno F B6. Qfhujl Rgadfrmsin $f' Dfrm ]ghjs2. Djnry Cgjlmgno $b' Ojrhgnfl1. Adfrljs Mgaejns $a' Pfhjlf=. Jhglj [ilf $m' ]ih Kinjs

$F' 6

$a', 2

$m', 1

$f', =

$b' $B' 6

$b', 2

$f', 1

$a', =

$m'$A' 6$f', 2$a', 1$b', =$m' $M' 6$m', 2$b', 1$a', =$f'

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?6. Rjfm tdj cilliwgno stftjhjnt fnm cgnm iut wdgad inj ic tdjsj frj gnairrjat 9$F' Ainstgtutgin ic Gnmgf mjlgbjrftjm cir 66= mfys$B' Ainstgtutgin ic Gnmgf aihplgjm gn 62 buley viluhjs$A' Aihhgttjj wdgad crfhjm ainstgtutgin dfm 277 hjhbjrs$M' Jljatgin ti tdj ainstgtujnts fssjhbly wjrj djlm gn 67=4

$F' F, B, A, M $B' inly F $A' inly A $M' inly M

?2. Ainsgmjr tdj cilliwgno stftjhjnt

$F' ]dj supjrvgsgin, mgrjatgin fnm aintril ic Jljatgins frj unmjr tdj Ajntrfl Oivjrnhjnt$B' Jljatgin Aihhgssgin ainsgsts ic Adgjc Jljatgin Aihhgssgin fnm sihj itdjr hjhbjrs$A' Fll tdj hjhbjrs ic Jljatgin Aihhgssginjrs frj fppigntjm by tdj Prjsgmjnt ic Gnmgf$M' ]jnurj ic Jljatgin Aihhssginjr gs ic 3 yjfrs

_dgad ic tdj cilliwgno frj airrjat

$F' F, B, A, M $B' B, A, M $A' B # A $M' A # M

?1. Fssjrtgin $F' ; Pfrlgfhjnt gs tdj cgnfl futdirgty cir hfegno lfws gn fny aiuntryRjfsin $B' ; ]dgs tfse ic lfw hfegno ir ljogslftgin gs si aruagfl tdft tdjsj fssjhblgjs frj aflljm

ljogslfturjsAinsgmjrjm wdgad inj gs tdj bjst pissgblj iptgin cir tdj fbivj hjntginjm stftjhjnt

$F' Bitd frj airrjat fnm B gs tdj airrjat jxplfnftgin ic F.$B' Bitd frj airrjat but tdjy frj nit gntjrrjlftjm$A' Inly F gs airrjat$M' ninj ic tdjh frj airrjat fnm gntjrrjlftjm

?=. Rjfm tdj cilliwgno stftjhjnt fnm pgae iut tdj gnairrjat iptgin $F' Qiagfl mgvjrsgty afnnit tfej mgccjrjnt cirhs gn mgccjrjnt siagjtgjs$B' Fll siagfl mgccjrjnajs frj bfsjm in faagmjnt ic bgrtd$A' Pjiplj bjlinogno ti mgccjrjnt siagfl oriups sdfrj mgccjrjnajs fnm sghglfrgtgjs$M' Jvjry siagfl mgccjrjnaj mijs nit ljfm ti siagfl mgvgsgin, siagfl mgccjrjnajs mgvgmjm sghglfr pjiplj crih

inj fnitdjr$F' F, B, A, M $B' F # B $A' B, A, M $M' A # M

?:. _dgad inj ic tdj cilliwgno ainsgmjrjm fs inj ic tdj hfkir cirhs ic piwjr sdfrgno gn Mjhiarfagjs 9$F' Dirgzintfl mgvgsgin ic piwjr $B' Sjrtgafl mgvgsgin ic piwjr$A' Adjaes fnm Bflfnaj $M' Fll ic tdj fbivj

?3. Ainsgmjr tdj stftjhjnt gs tjrhs ic Ojnmjr mgvgsgin. _dgad ic tdj cilliwgno frj airrjat $F' Gt gs f dgjrfradgafl siagfl mgvgsgin$B' Gt tjnms ti bj unmjrstiim fs nfturfl fnm unadfnojfblj$A' Gt gs bfsjm in bgiliogafl jxpjatftgin$M' Gt gs bfsjm in siagfl jxpjatftgin fnm stjrjitypjs

$F' F, B, A, M $B' B # A $A' A # M $M' F # B

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??. Rjfm tdj cilliwgno stftjhjnt fnm cgnm iut wdgad inj ic tdj cilliwgno gn nit rjlftjm ti tdj Bjloguh wgtdrjcjrjnaj ti tdj Piwjr sdfrgno $F' :7* ic Mutad spjfejrs lgvjs gn _fllingf rjogin$B' =0* ic Crjnad spjfejrs lgvjs gn Cljhgsd rjogins$A' Frjf ic Bjloguh gs Bgoojr tdfn Dfryfnf$M' Bjloguh Birmjrs tiuadjs wgtd Qaitlfnm, Nirwfy

$F' Fll frj airrjat $B' Fll frj cflsj

$A' F, B, A frj airrjat $M' B, A, M frj airrjat

?4. _dgad ic tdj cilliwgno adfrfatjrsgtgas mi nit cfll unmjr tdj dilmgno tiojtdjr cjmjrflgsh 9$F' _djn f lfroj aiuntry mjagmjs ti mgvgmj gts piwjr bjtwjjn tdj ainstgtutjnt stftjs fnm tdj Nftginfl

Oivjrnhjnt$B' Gnmgf, Qpfgn fnm Bjloguh frj jxfhpljs ic dilmgno tiojtdjr$A' Ainstgtujnts Zngts ic cjmjrftgin dfvj unjqufl piwjr fnm sihj ungts frj orfntjm spjagfl piwjrs$M' Fll ic tdj fbivj

?7. Rjfm tdj stftjhjnt fnm ainsgmjrjm tdft wdgad inj ic tdj cilliwgno frj truj $f' Njpfl wgtnjssjm fn jxtrfirmgnfry pipulfr hivjhjnt gn Fprgl 2003.$b' ]dj hivjhjnt wfs fghjm ft rjstirgno mjhiarfay

$F' Bitd ic tdjh frj truj $B' Inly $f' gs truj$A' Inly $b' gs truj $M' Bitd $f' # $b' frj cflsj

40. Rjfm tdj stftjhjnt gn aintjxt ic Qrg Lfnef $F' ?=* pipulftgin bjlinos ti Qgndflf spjfejrs$B' 64* frj bjlino ]fhgl spjfejrs$A' 61* frj bjlino Qrg Lfnefn ]fhgls$M' ?* frj Adrgstgfns, wdi frj bitd ]fhgls # Qgndflf_dgad ic tdj fbivj frj truj

$F' F, B, A $B' B, A $A' F, B, A, M $M' A, M

46. _dgad ic tdj cilliwgno stftjhjnt gs gnairrjat rjofrmgno oriwgno ghpirtfnaj ic rifm trfnspirt gn aihpfrgsin

ti rfgl trfnspirt 9$F' Ainstruatgin aist ic rifms gs huad liwjr tdfn tdft ic rfglwfy lgnjs$B' Rfgl trfnspirt gs jainihgafl gn trfnspirtftgin ic cjw pjrsins # rjlftgno shflljr fhiunt ic oiims ivjr

sdirt mgstfnajs.$A' Rifms afn njoitgftj dgodjr orfmgjnts ic slipjs$M' Rifm trfnspirt fat fs f cjjmjr ti itdjr himjs ic trfnspirtftgin

42. Rjfm tdj cilliwgno stftjhjnts$f' Gt gs ainsgmjrm fs gnmgojnius plfnt ti Gnmgf.$b' Gnmgf gs tdj 1 lfrojst primuajr ic tdgs arip.$a' Gt gs f edfrgc arip$m' Gt rjqugrjs 3 ti 4 hintds ti hfturj.]dj fbivj stftjhjnt gnmgaftjs fbiut wdgad arip 9

$F' Quofrafnj $B' Aittin $A' Kutj $M' _djft

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41. ]dgs sigl frj hfmj up ic jxtrjhjly cgnj alfyjy hftjrgfl fnm dfvj dgod afpfagty ti dilm higsturj. ]djy frjrgad gn sigl nutrgjnts suad fs aflaguh afrbinftj, hfonjsguh, pitfsd fnm lghj fnm piir gn pdispdirgaaintjnt.

]dj fbivj stfthjnt gnmgaftj fbiut wdgad typj ic sigl 9$F' Frgm $B' Lftjrgtj $A' Rjm $M' Blfae

4=. Bfhbiis, Qfl, Qfnmfl _iim, ]jfe frj tdj aihhjragflly ghpirtfnt spjagjs ic wdgad typj ic cirjst 9$F' Flpgnj ]unmrf Sjojtftgin $B' ]ripgafl rfgn cirjsts$A' ]ripgafl Mjagmuius cirjsts $M' ]jhpjrftj cirjsts

4:. Grin fnm stjjl aihjs unmjr YYYYYYYYYYgnmustry$6' Hgnjrfl $2' Ainsuhjr $1' Djfvy $=' Publga sjatir$F' 6, 2 $B' 6, 1, 2 $A' 1, =, 2 $M' 6, 1, =

43. ]dj Njpfl Dghflfyfs lgjs bjtwjjn $F' Gnmus # Qftluk $B' Qftluk # Eflg $A' Eflg # ]gstf $M' ]gstf # Mgdfno

4?. _dgad dglls turnjm tdj mgrjatgin ic tdj Bfy ic Bjnofl brfnad ic tdj siutdwjst hinsiin 9$F' Frfvfllgs $B' Nglogrgs $A' Frfefn $M' Rfkhfdfl Dglls

44. Rjfm tdj cilliwgno stftjhjnt

$6' ]dj shflljr iaaurfnaj ic hgnjrfls frj aflljm vjgns$2' ]dj lfrojr iaaurfnaj ic hgnjrfls frj aflljm limjs$1' Gn sjmghjntfry riaes f nuhbjr ic hgnjrfls iaaur gn ljfms ir lfyjrs$=' Qjmghjntfry hgnjrfls gnalumj oypsuh, pitfsd sflt # simguh sflt

_dgad ic tdj cilliwgno stftjhjnts gs)frj airrjat

$F' 6, 1, = $B'6, 2, 1 $A' 6, 1, = $M', 6 ,2 ,1, =

47. _dgad ic tdj cilliwgno gs gnairrjatly hftadjm F $Rgvjr' B $Mfh'6. ]unofbdfmrf $f' Rfhfounmfh2. Ergsdnf $b' Nfofrkunf

1. Hfdfnfmg $a' Dgrfeum=. Qin $m' Rgdfnm

$F' inly $6' $B' bitd $2' # $1' $A' bitd $1' # $=' $M' fll ic tdjh

70. Hftad tdj cilliwgno

F $Fnghfls)Plfnts' B $Qpjagjs'6. Briw fntjr mjjr $f' Rfrj2. Dghflfyfn Briwn Bjfr $b' Jnmjhga1. _glm Pgo $a' Sulnjrfblj=. Bluj Qdjjp $m' Jxtgnat

$j' Jnmfnojrjm

$F' 6 $j', 2 $m', 1 $b', = $a' $B' 6 $m', 2 $f', 1 $a', = $b'

$A' 6 $j', 2 $f', 1 $b', = $a' $M' 6 $a', 2 $m', 1 $b', = $f'

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QF]YN]QJ Q]FOJ(GG HIAE ]JQ] PFPJR(6YPFOJ ! 6=

76. Hftad tdj cilliwgno F B

6. ]jntd Cgvj Wjfr Plfnt ciausjm in fn gnarjfsj gn $f' djfltd fnm jmuatgin2. F sgtuftgin wdjrj hirj nuhbjr ic pjiplj frj $b' nin(hfrejt fatgvgtgjs

jhpliyjm tdfn rjqugrjm gs eniwn fs $a' jnrilljhjnt gn dgodjr jmuaftgin1. ]dj quflgty ic pipulftgin gn fn jainihy mjpjnms $m' mgsougsjm unjhpliyhjnt

upin tdj struaturj ic=. ]dj egnm ic fatgvgtgjs pjrcirhjm cir sjlc ainsuhptgin frj

$F' 6 $a', 2 $m', 1 $f', = $b' $B' 6 $f', 2 $b', 1 $m', = $a'$A' 6 $m', 2 $f', 1 $a', = $b' $M' 6 $b', 2 $a', 1 $m', = $f'

72. Rjfm tdj cilliwgno fnm stftj tdft wdgad gs ) frj gnairrjat.$f' Jfad aiuntry usjs fn ghfognfry lgnj tdft gs ainsgmjrjm fppriprgftj cir gts jxgstgno ljvjl ic mjvjliphjnt

fnm gts faajptjm hgnghuh siagfl nirhs.$b' Pivjrty mjalgnjm substfntgflly gn Adgnf fnm Qiutd(Jfst Fsgfn aiuntrgjs fs f rjsult ic rfpgm jainihga

oriwtd fnm hfssgvj gnvjsthjnts gn duhfn rjsiuraj mjvjliphjnt$a' ]dj siagfl oriup hist vulnjrfblj ti pivjrty gs liwjr hgmmlj alfss$m' Inj ic tdj hfgn rjfsin cir pivjrty prjvfglgno gs Gnmgf gs ghpripjr ghpljhjntftgin ic pilgagjs

$F' bitd $f' # $b' $B' $f', $b' # $m'

$A' $b', $a' # $m' $M' inly $a'


6. ]dj rgsgno hgnghuh suppirt prgajs dfvj $f' Fhul Mfgrygnarfsjm tdj aist ic

2. ]dj cunatgin ic Fafmjhy ic mjvjliphjnt $b' Forgaulturfl fatgvgtgjs mjpjnm in nfturfl cfatirsQagjnajs $FMQ' gn Hfdfrfsdtrf gs

1. Qjfsinfl dunojr gs prjvfljnt gn rurfl $a' Cfaglgtftgno njtwire cir sjttgno up orfgn bfnesfrjfs bjafusj gn mgccjrjnt rjogins

=. ]dj Ai(ipjrftgvj siagjty rjspinsgblj $m' Forgaulturfl primuatgincir wdgtj rjvlutgin gn Gnmgf gs

$F' 6

f, 2

b, 1

a, =

m $B' 6

b, 2

f, 1

m, =

a$A' 6m, 2a, 1b, =f $M' 6a, 2b, 1f, =m

7=. Hftad tdj cilliwgno F B

6. Njt Fttjnmfnaj Rftgi $f' Aiuntrgjs dfvgno pjr afpgtf gnaihj ljss tdfn -42: pjr fnnuh2. Lgcj jxpjatfnay ft Bgrtd $b' Mjvjliphjnt ic f pjrsin faairmgno ti dgs culljr afpfagty1. Duhfn Mjvjliphjnt $a' Fvjrfoj jxpjatjm ljnotd ic lgcj ic f pjrsin ft tdj tghj ic bgrtd=. Mjvjlipgno aiuntrgjs $m' ]itfl nuhbjr adglmrjn ic foj oriup 360 fttjnmgno sadiil fs f

pjrajntfoj ic titfl nuhbjr adglmrjn gn tdj sfhj foj oriup$F' 6m, 2a, 1b, =f $B' 6f, 2b, 1a, =m$A' 6a, 2f, 1b, =m $M' 6b, 2m, 1f, =a

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7:. Gn tdj aintjxt ic OMP wdgad stftjhjnt gs ) frj airrjat 9$f' ]dj titfl vfluj ic fll oiims fnm sjrvgajs primuajm murgno f pfrtgaulfr yjfr$b' ]dj titfl vfluj ic fll gntjrhjmgftj oiims fnm sjrvgajs primuajm murgno f pfrtgaulfr yjfr$a' ]dj titfl vfluj ic fll gntjrhjmgftj fnm cgnfl oiims fnm sjrvgajs primuajm murgno f pfrtgaulfr yjfr$m' ]dj titfl vfluj ic fll cgnfl oiims fnm sjrvgajs primuajm murgno f pfrtgaulfr yjfr

$F' Inly $m' $B' $f', $b' # $a' $A' Bitd $f' # $m' $M' Fll ic tdjh

73. Hftad tdj cilliwgno

F B6. Prgvftj jntjrprgsj f. H]NL2. Znmjrjhpliyhjnt b. NRJOF1. Rgodt ti _ire gs rjccjrjm fs a. Mgsougsjm unjhpliyhjnt=. Publga jntjrprgsj m. Qfdfrf Fgrlgnjs

$F' 6m, 2a, 1b, =f $B' 6f, 2b, 1a, =m$A' 6a, 2f, 1m, =b $M' 6b, 2a, 1f, =m

7?. Hftad tdj cilliwgno F B

6. Qiuraj ic cirhfl sjatir lifn $f' Hinjy ljnmjrs2. Mjhfnm Mjpisgt $b' 6: 201. Hjhbjrs gn QDO nirhflly $a' Bfnes=. Qiuraj ic gncirhfl sjatir lifn $m' Mjpisgts wgtd bfne wdgad afn bj wgtdmrfwn in mjhfnm

$F' 6b, 2a, 1f, =m $B' 6a, 2m, 1b, =f$A' 6m, 2f, 1b, =a $M' 6f, 2b, 1a, =m


6. Bfnes gn Gnmgf dilm fbiut $f' Oivjrnhjnt2. Hjhbjrs gn Ergsdfe Aiipjrftgvj frj $b' Flsi eniwn fs plfstga hinjy afn bj usjm fs subsgtutj ic

adjquj1. Arjmgt Afrm $a' 6:* afsd=. RBG gssujs nitjs in bjdflc ic tdj $m' 2100

$F' 6a, 2m, 1b, =f $B' 6f, 2b, 1a, =m$A' 6b, 2f, 1m, =a $M' 6m, 2b, 1f, =a

77. _dgad ic tdj cilliwgno stftjhjnt gs ) frj rjlftjm ti _]I $f' Gts fgh gs ti lgbjrflgsj gntjrnftginfl trfmj$b' Gt jstfblgsdjs ruljs rjofrmgno gntjrnftginfl trfmj fnm sjjs tdft tdjsj ruljs frj ibjyjm$a' Gt suppirt inly tdj ljfst mjvjlipjm aiuntrgjs$m' Gt ejjps wftad in trfmj ic ljss mjvjlipgno aiuntrgjs

_dgad ic tdj cilliwgno frj airrjat

$F' bitd $f' # $a' $B' $b', $a' # $m' $A' bitd $f' # $b' $M' bitd $a' # $m'


6. Qdiae crih fn jljatrga gtjh $f' Mgssftgscfatgin ic ainsuhjrs2. ]dj rgodt fofgnst uncfgr trfmj prfatgajs $b' Rgodt ti sfcjty1. HRP ic tdj primuat $a' Rgodt ti sjje rjmrjssfl=. Ainsuhjr Hivjhjnt wfs f rjsult ic $m' Rgodt ti bj gncirhjm

$F' 6f, 2b, 1a, =m $B' 6b, 2a, 1m, =f$A' 6b, 2f, 1a, =m $M' 6m, 2b, 1f, =a

QF]YN]QJ Q]FOJ(GG HIAE ]JQ] PFPJR(6YPFOJ ! 6:

sat paper-1

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