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\kmychcgmkr Efcssas
\HE/Uystah il Tcrtkefas & Zitctkigcf Hitkig => @^]/T`yskes
MC]A ? KK]OAA ?HCZBU ?
34 ]KHA ? :1 HKGQ]AU
GCHA ? ]AU] EIMA ? Z]H R3X
ZIFF GI. U]CZ] ]KHA ? AGM ]KHA ? ]KHA ]CBAG?
U]QMAG]U UKNGC]QZA ? TCZAG]U UKNGC]QZA ?
]`ks tast eigtckgs c titcf il 34 Ijoaetkva ]ypa Suastkigs.
Ace` quastkig ecrrkas 3 hcrb. ]`ara ks GI GANC]K\A hcrbkgn.
E`iisa t`a eirraet cftargctkva. Igfy iga e`ikea ks eirraet.
3. C]s`cpam ijoaet wkt` mkhagskigs s`iwg kg t`a lknura, ks fykgn ig c shiit` lfiir.
ClireaL ks cppfkam ct c pikgtTTcrcffaf tiCJ, sue` t`ct t`a ijoaet `cs igfy t`a
trcgsfctkigcf hitkig wkt`iut ritctkig. Lkgm t`a mkstcgea ilTlrih tiE.
(C):
:f (J)
5
:f
(E)=
5f (M) f
:. C ekreufcr mkse il rcmkusZks rahivam lirh c jknnar ekreufcr mkse il rcmkus :Z, sue` t`ct t`a ekreuhlaragea il t`a mkses eikgekma.
]`a mkstcgea il eagtra il hcss il t`a gaw mkse ks Z lrih t`a eagtra il t`a jknnar mkse. ]`a vcfua il ks ?
(C) 3/5 (J) 3/: (E) 3/< (M) 3/=
5. ^`ag c eakfkgn lcg ks swkte`am ill, kts cgnufcr vafiekty lcffs ti `cfl w`kfa kt hcbas 5< ritctkigs. @iw hcgy ritctkigs wkff kt hcba
jalira eihkgn ti rast 9 Cssuha eigstcgt raskstkva tirqua
(C) := (J) 5< (E) 30 (M) 3:
=. ]`a rctki il t`a rcmkk il nyrctkig il c ekreufcr mkse cjiut c tcgnagtkcf cxks kg t`a pfcga il t`a mkse cgm il c ekreufcr rkgn il t`a scha
rcmkus cjiut c tcgnagtkcf cxks kg t a pfcga il t`a rkgn ks ?
(C) 5 1 (J) 3: 5 (E) 3 5 (M) 1 1Gh (M) 5;Gh
0. C mkse il hihagt il kgartkc:
1bn h ks cetam upig jy c eigstcgt tirqua il =4 Gh. Utcrtkgn lrih rast t`a tkha tcbag jy kt ti
cequkra cg cgnufcr vafiekty il := 3rcms ks ?
(C) 5s (J) =s (E) :.1s (M) 3:4s
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\kmychcgmkr Efcssas
\HE/Uystah il Tcrtkefas & Zitctkigcf Hitkig =0 @^]/T`yskes
;. C sifkm sp`ara il hcss :bnriffs ig c shiit` `irkzigtcf surlcea ct334hs
. Kt t`ag riffs up c shiit` kgefkgam pfcga il kgefkgctkig
54 wkt` t`a `irkzigtcf. ]`a `akn`t cttckgam jy sp`ara jalira kt stips ks?
(C) >44eh (J) >43eh (E) >.3h (M) Giga il t`asa
34. ]`a ceeafarctkig il t`a eagtra il hcss il c ugklirh sifkm mkse riffkgn miwg cg kgefkgam pfcga il cgnfa ks?
(C) n skg (J) : 5/ n skg (E) 3 :/ n skg (M) 3 5/ n skg
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\kmychcgmkr Efcssas
\HE/Uystah il Tcrtkefas & Zitctkigcf Hitkig =; @^]/T`yskes
MC]A ? KK]OAA ?HCZBU ?
34 ]KHA ? :1 HKGQ]AU
GCHA ? ]AU] EIMA ? Z]H R:X
ZIFF GI. U]CZ] ]KHA ? AGM ]KHA ? ]KHA ]CBAG?
U]QMAG]U UKNGC]QZA ? TCZAG]U UKNGC]QZA ?
]`ks tast eigtckgs c titcf il 34 Ijoaetkva ]ypa Suastkigs.
Ace` quastkig ecrrkas 3 hcrb. ]`ara ks GI GANC]K\A hcrbkgn.
E`iisa t`a eirraet cftargctkva. Igfy iga e`ikea ks eirraet.
3. ]`a eagtra il hcss il t`raa pcrtkefas il hcssas 3 bn, :bncgm 5bnks ct (5, 5, 5) wkt` ralaragea ti c lkxam eiirmkgcta systah. ^`ara
c liurt` pcrtkefa il hcss =bns`iufm ja pfceam, si t`ct t`a eagtra il hcss il t`a systah il cff pcrtkefas s`klts ti c pikgt (3, 3, 3) 9
(C) ( 3 3 3) (J) ( : : :) (E) (:, :, :) (M) (3, 3, 3)
:. ]wi jimkas il : 0k o b (E) > : 0k o b (M) 1 : 0k o b
5. ]`a cgnufcr vafiekty il c w`aaf kgeracsas lrih 344rpsti 544rpskg 34s. ]`a guhjar il ravifutkigs hcma murkgn t`ct tkha ks?
(C) (E) :/1 (M) >/:
34. C sifkm eyfkgmar ks riffkgn miwg ig cg kgefkgam pfcga il cgnfa . ]`a eiallkekagt il stctke lrcetkig jatwaag t`a pfcga cgm eyfkgmar
ks s . ]`ag eigmktkig lir t`a eyfkgmar git ti sfkp ks ?
(C) 5 stcg (J) 5 stcg (E) 5 stcg (M) 5 stcg
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\kmychcgmkr Efcssas
\HE/Uystah il Tcrtkefas & Zitctkigcf Hitkig 14 @^]/T`yskes
MC]A ? KK]OAA ?HCZBU ?
34 ]KHA ? :1 HKGQ]AU
GCHA ? ]AU] EIMA ? Z]H R5X
ZIFF GI. U]CZ] ]KHA ? AGM ]KHA ? ]KHA ]CBAG?
U]QMAG]U UKNGC]QZA ? TCZAG]U UKNGC]QZA ?
]`ks tast eigtckgs c titcf il 34 Ijoaetkva ]ypa Suastkigs.
Ace` quastkig ecrrkas 3 hcrb. ]`ara ks GI GANC]K\A hcrbkgn.
E`iisa t`a eirraet cftargctkva. Igfy iga e`ikea ks eirraet.
3. C puffay lkxam ti t`a eakfkgn ecrrkas c strkgn wkt` jfiebs
il hcssash cgm 5h cttce`am ti kts agms. ]`a hcssas il
strkgn cgm puffay cra ganfknkjfa. ^`ag t`a systah ks
rafacsam, t`a ceeafarctkig il eagtra il hcss wkff ja?
(C) zari (J)
=
n
(E):
n(M)
:
n
:. Eigskmar c twi pcrtkefa systah wkt` pcrtkefas `cvkgn
hcssas h3 cgm h:. Kl t`a lkrst pcrtkefas ks pus am
tiwcrms t`a eagtra il hcss t`riun` c mkstcgea m, jy
w`ct mkstcgea s`iufm t`a saeigm pcrtkefa ja hivam, si
cs ti baap t`a eagtra il hcss ct t`a scha pisktkig9
(C) :
3
hm
h(J) 3
3 :
hm
h h
(E) 3
:
hm
h(M) m
5. ]`a kgstcgtcgaius vafiekty il c pikgtJil t`a nkvag rim
il fagnt` 4.1h ks 5hs3 kg t`a raprasagtam mkraetkig.
]`a cgnufcr vafiekty il t`a rim lir hkgkhuh vafiekty il
agmCks?
(C) 3.1rcms3 (J) 1.:rcms3
(E) :.1rcms3 (M) Giga il t`asa
=. Lrih c mkse il rcmkusZ, c eigeagtrke ekreufcr pirtkig il
rcmkusrks eut iut si cs ti facva cg cggufcr mkse il hcss
H. ]`a hihagt il kgartkc il t`ks cggufcr mkse cjiut t`a
cxks parpagmkeufcr ti kts pfcga cgm pcsskgn t`riun` kts
eagtra il nrcvkty ks?
(C) : :3:H Z r (J) : :3
:H Z r
(E) = =3:H Z r (M) = =3
:H Z r
1. C]oikgt ks lirham jy twi kmagtkecf rims Ccgm Jace`
il hcssh cgm fagnt`F kg t`aP[ pfcga cs s`iwg. Kts
hihagt il kgartkc cjiut cxks eikgekmkgn wkt`Cks?
(C)
::
5
hF
(J)
:
3:
hF
(E)
:
h
(E) =h
(M) 3h
5. ]`a hihagt il kgartkc il c t`kg ugklirh rim il fagnt`Fcgm hcssHcjiut cg cxks pcsskgn t`riun` c pikgt ct c mkstcgea il 3/5 lrih
iga il kts agms cgm parpagmkeufcr ti t`a rim ks?
(C)
:
3:
HF(J)
:
;
HF(E)
:>
=0
HF(M)
:
=0
HF
=. ]`raa kmagtkecf rims, ace` il fagnt` x, cra oikgam ti lirh c rknkm aqukfctarcf trkcgnfa. Kts rcmkus il nyrctkig cjiut cg cxks pcsskgn
t`riun` c eirgar cgm parpagmkeufcr ti t`a trkcgnfa ks?
(C)5
x(J)
:
x(E)
5
:x (M)
:
x
1. C ugklirh mkse il hcssHcgm rcmkusZks hiugtam ig c lkxam `irkzigtcf cxks. C jfieb il hcss h `cgns lrih c hcssfass strkgn t`ct
ks wrcppam criugm t`a rkh il t`a mkse. ]`a hcngktuma il t`a ceeafarctkig il t`a lcffkgn jfieb (h) ks?
(C):
:
Hn
H h (J)
:
:
hn
H H (E)
:
:
H hn
H
(M)
:
:
H hn
H
. C pcrtkefa il hcss h 8 1 ugkts ks hivkgn wkt` c ugklirh spaam 5 :v h kg t`a PI[ pfcga cfign t`a fkga [ 8 P + =.
]`a hcngktuma il t`a cgnufcr hihagtuh cjiut irknkg ks?
(C) zari (J) .1 ugkt
(M) =4 : ugkt (A) 5.4 ugkt
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\kmychcgmkr Efcssas
\HE/Uystah il Tcrtkefas & Zitctkigcf Hitkig 15 @^]/T`yskes
0. C jimy ks ritctkgn wkt` cgnufcr vafiekty 54rcms3. Kl kts bkgatke agarny ks 5
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\kmychcgmkr Efcssas
\HE/Uystah il Tcrtkefas & Zitctkigcf Hitkig 1= @^]/T`yskes
MC]A ? KK]OAA ?HCZBU ?
34 ]KHA ? :1 HKGQ]AU
GCHA ? ]AU] EIMA ? Z]H R0X
ZIFF GI. U]CZ] ]KHA ? AGM ]KHA ? ]KHA ]CBAG?
U]QMAG]U UKNGC]QZA ? TCZAG]U UKNGC]QZA ?
]`ks tast eigtckgs c titcf il 34 Ijoaetkva ]ypa Suastkigs.
Ace` quastkig ecrrkas 3 hcrb. ]`ara ks GI GANC]K\A hcrbkgn.
E`iisa t`a eirraet cftargctkva. Igfy iga e`ikea ks eirraet.
3. Utctahagt ? K Kl t`ara ks gi axtargcf tirqua ig c jimy cjiut kts eagtra il hcss, t`ag t`a vafiekty il t`a eagtra il hcss
rahckgs eigstcgt.
Utctahagt ? KK ]`a fkgacr hihagtuh il cg ksifctam systah rahckgs eigstcgt.
(C) Utctahagt-K ks ]rua, Utctahagt-KK ks ]rua cgm Utctahagt-KK ks c eirraet axpfcgctkig lir Utctahagt-K
(J) Utctahagt-K ks ]rua, Utctahagt-KK ks ]rua cgm Utctahagt-KK ks GI] c eirraet axpfcgctkig lir Utctahagt-K
(E) Utctahagt-K ks ]rua, Utctahagt-KK ks Lcfsa
(M) Utctahagt-K ks Lcfsa, Utctahagt-KK ks ]rua
:. ]wi pcrtkefas il aqucf hcss `cva vafiektkas 3 =v k cgm
3: =v o hs
. Lkrst pcrtkefa `cs cg ceeafarctkig :3 (1 1 )c k o hs ,
w`kfa t`a ceeafarctkig il t`a it`ar pcrtkefa ks zari. ]`a eagtra il hcss il t`a twi pcrtkefas hivas kg c pct` il
(C) strckn`t fkga (J) pcrcjifc (E) ekrefa (M) affkpsa
5. Hihagt il kgartkc il c mkse cjiut c mkchatar ksK. Lkgm t`a hihagt il kgartkc il mkse cjiut cg cxks parpagmkeufcr ti kts pfcga cgm
pcsskgn t`riun` kts rkh9
(C)
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\kmychcgmkr Efcssas
\HE/Uystah il Tcrtkefas & Zitctkigcf Hitkig 11 @^]/T`yskes
0. ]`a hihagts il kgartkc il twi lraafy ritctkgn jimkasCcgmJcraKC7KJ cgm t`akr cgnufcr hihagtc cra aqucf. KlBCcgmBJcra
t`akr bkgatke agarnkas, t`ag?
(C) BC8BJ (J) BCBC (E) BC6BJ (M) BC8 :BJ
;. C sifkm sp`ara il hcss 3bn, rcmkus 34ehriffs miwg cg kgefkgam pfcga il `akn`t >h. ]`a vafiekty il kts eagtra cs kt race`as t`a
nriugm favaf ks?(C) >h/s (J) 34h/s (E) 31h/s (M) :4h/s
34. C mkse ks riffkgn (wkt`iut sfkppkgn) ig c `irkzigtcf surlceaEks kts eagtra cgmS cgmTcra
twi pikgts aqukmkstcgt lrihE. Fat vT,vScgmvE ja t`a hcngktuma il vafiektkas il pikgts
T,ScgmEraspaetkvafy, t`ag ?
(C) vS6vE7vT (J) vS6vE6vT
(E)3
:S T E pv v v v (M) S E Tv v v
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\kmychcgmkr Efcssas
\HE/Uystah il Tcrtkefas & Zitctkigcf Hitkig 1< @^]/T`yskes
MC]A ? KK]OAA ?HCZBU ?
34 ]KHA ? :1 HKGQ]AU
GCHA ? ]AU] EIMA ? Z]H R;X
ZIFF GI. U]CZ] ]KHA ? AGM ]KHA ? ]KHA ]CBAG?
U]QMAG]U UKNGC]QZA ? TCZAG]U UKNGC]QZA ?
]`ks tast eigtckgs c titcf il 34 Ijoaetkva ]ypa Suastkigs.
Ace` quastkig ecrrkas 3 hcrb. ]`ara ks GI GANC]K\A hcrbkgn.
E`iisa t`a eirraet cftargctkva. Igfy iga e`ikea ks eirraet.
3. ]wi pcrtkefas il aqucf hcss h ni criugm c ekrefa il
rcmkus Z ugmar t`a cetkig il t`akr hutucf nrcvktctkigcf
cttrcetkig. ]`a spaam il ace` pcrtkefa wkt` raspaet ti
t`akr eagtra il hcss ks?
(C) Nh
Z
(J)
=
Nh
Z
(E)5
NH
Z(M)
:
Nh
Z
:. ]wi jcffs, ace` il rcmkus Z, aqucf hcss cgm magskty cra
pfceam kg eigtcet, t`ag t`a lirea il nrcvktctkig jatwaag
t`ah ks pripirtkigcf ti?
(C):
3L
Z (J) L Z
(E)=
L Z (M)3
LZ
5. Khcnkga c gaw pfcgat `cvkgn t`a scha magskty cs t`ct il
acrt` jut kt ks 5 tkhas jknnar t`cg t`a acrt` kg skza. Kl t`a
ceeafarctkig mua ti nrcvkty ig t`a surlcea il t`a acrt` kg
skza ks n cgm t`ct ig t`a surlcea il t`a gaw pfcgat ks n ,
t`ag?
(C) :n n (J) 5n n
(E) =n n (M) 1n n
=. Kl t`a acrt` stips ritctkgn, t`a vcfua il n ct t`a aquctir
(C) kgeracsas (J) maeracsas
(E) gi allaet (M) Giga il t`asa
1. ]`a e`cgna kg t`a vcfua il n ct c `akn`t ` cjiva t`a
surlcea il t`a acrt` ks t`a scha cs ct c mapt` mjafiw t`a
surlcea il acrt`. ^`ag jit` m cgm`cra hue` shcffar
t`cg t`a rcmkus il acrt`, t`ag w`ke` iga il t`a liffiwkgn
ks eirraet9
(C):
`m (J)
5
:
`m
(E) :m ` (M) m `
NH
Z
(J) : = : 1>
NH
Z
(E)
=
NH
Z
(M) : : 31
NH
Z
>. C pfcgat kg c mkstcgt sifcr systah ks 34 tkhas hira
hcsskva t`cg t`a acrt` cgm kts rcmkus ks 34 tkhas shcffar.
Nkvag t`ct t`a asecpa vafiekty lrih t`a acrt` ks
333bhs , t`a asecpa vafiekty lrih t`a surlcea il t`a
pfcgat wiufm ja?
(C)3
3 3. bhs
(J)3
33bhs
(E)3
334bhs
(M)3
4 33. bhs
0. ]`a asecpa vafiekty il c prioaetkfa ig t`a acrt`s surlcea
ks 33.:3
bhs . C jimy ks prioaetam iut wkt` t`rkea t`ks
spaam. ]`a spaam il t`a jimy lcr cwcy lrih t`a acrt`
wkff ja?
(C)3
:: =. bhs
(J)3
53 >. bhs
(E)3
55
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\kmychcgmkr Efcssas
\HE/Uystah il Tcrtkefas & Zitctkigcf Hitkig 1> @^]/T`yskes
MC]A ? KK]OAA ?HCZBU ?
34 ]KHA ? :1 HKGQ]AU
GCHA ? ]AU] EIMA ? Z]H R34X
ZIFF GI. U]CZ] ]KHA ? AGM ]KHA ? ]KHA ]CBAG?
U]QMAG]U UKNGC]QZA ? TCZAG]U UKNGC]QZA ?
]`ks tast eigtckgs c titcf il 34 Ijoaetkva ]ypa Suastkigs.
Ace` quastkig ecrrkas 3 hcrb. ]`ara ks GI GANC]K\A hcrbkgn.
E`iisa t`a eirraet cftargctkva. Igfy iga e`ikea ks eirraet.
3. ]`raa kmagtkecf jimkas il hcss Hcra fiectam ct t`a vartkeas il cg aqukfctarcf trkcgnfa il skmaF. ]`ay ravifva ugmar t`a allaet il
hutucf nrcvktctkigcf lirea kg c ekreufcr irjkt, ekreuhserkjkgn t`a trkcgnfa w`kfa prasarvkgn t`a aqukfctarcf trkcgnfa. ]`akr irjktcf
vafiekty ks?
(C) NH
F(J)
5
:
NH
F(E)
5NH
F(M)
:
5
NH
F (A)
5
NH
F
:. C jimy ks tcbag ti c `akn`t ilgZ lrih t`a surlcea il t`a acrt`. ]`a rctki il t`a ceeafarctkig mua ti nrcvkty ig t`a surlcea ti t`ct ctt`a cftktuma ks?
(C) (g+ 3):
(J) (g+ 3):
(E) (g+ 3)3
(M) (g+ 3)
5. ]`a `akn`t ct w`ke` t`a ceeafarctkig mua ti nrcvkty jaeihas n/ ; (w`aran8 t`a ceeafarctkig mua ti nrcvkty ig t`a surlcea il t`a
acrt`) kg tarhs ilZ, t`a rcmkus il t`a acrt`, ks?
(C) :Z (J)5
Z(E)
:
Z(M) :Z
=. ]`a ceeafarctkig mua ti nrcvkty jaeihas:
n
(n8 ceeafarctkig mua ti nrcvkty ig t`a surlcea il t`a acrt`) ct c `akn`t aqucf ti?
(C) =Z (J) Z/ = (E) :Z (M) Z/ :
1. ]wi jimkas il hcssashcgm =hcra pfceam ct c mkstcgear. ]`a nrcvktctkigcf pitagtkcf ct c pikgt ig t`a fkga oikgkgn t`ah w`ara t`a
nrcvktctkigcf lkafm ks zari ks?
(C)=Nh
r (J)