AICTE CMAT Sample Paper-2

7/23/2019 AICTE CMAT Sample Paper-2

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[bkthgo H < Uueothtethvb Tbkjohqubs & Dete Hotbrprbtethgo

5. E pbrsgo hovbstbd 5,>>,>>> et :% shapib hotbrbst cgr 2 ybers eod rbhovbstbd tjb eaguot rbkbhvbdet 5>% shapib hotbrbst cgr 6 ybers. ]jet wes tjb choei eaguot rbkbhvbd fy jha7(e)5,23,>>> (f)5,3>,>>> (k) 5,3:,>>> (d) 5,=>,>>>

6. E 5>> ihtbrs sphrht wetbr sgiuthgo kgotehos =2% sphrht. Chod tjb eaguot gc wetbr tg fb eddbd tg kgovbrtht hotg 3>% sphrht sgiuthgo.(e) 52 ihtbrs (f) 62 ihtbrs (k) 4> ihtbrs (d) 6> ihtbrs

;. Eley stertbd e chra whtj e kephtei gc 6:,>>>. Ectbr 2 agotjs, Fgaeo lghobd jha eod hovbstbd4>,>>> ho tjb chra. Kjhrem wes eisg eddbd es e obw pertobr whtj eo hodhvhduei hovbstabot gc23,>>> ectbr = agotjs gc kgaabokbabot. Hc et tjb bod gc tjb yber, tjb prgcht gc tjb chra hs ;6,>>>,wjet hs tjb sjerb gc Fgaeo7

(e)

56,>>> (f)

:,>>> (k)

54,>>> (d)

5>,>>>

4. Tjb prhkb gc e aekjhob hokrbesbs fy 6>% ho e yber eod dbkrbesbs fy 52% ho tjb cgiigwhom yber.]jet hs obt pbrkbotemb hokrbesb/dbkrbesb ho tjb prhkb gc tjb aekjhob7(e) 5% hokrbesb (f) 6% hokrbesb (k) 5% dbkrbesb (d) 6% dbkrbesb

2. Tjb qubsthgo mhvbo fbigw hs cgiigwbd fy twg stetbabots, H eod HH. Aer` tjb eoswbr ushom tjb cgiigwhomhostrukthgos. Jgw aeoy fgys erb tjbrb ho tjb kiess7H. Tjb ouafbr gc fgys hs ;>% agrb tjeo tjb ouafbr gc mhris.HH. Tjb ouafbr gc mhris hs 52 ibss tjeo tjb ouafbr gc fgys.

3. E pbrsgo kgvbrs 5:> à, 64> à eod ;>> a fy ker, treho eod fus rbspbkthvbiy. Chod tjb evbrembspbbd gc tjb wjgib lguroby hc tjb spbbd gc ker, treho eod fus hs 3> à/jr, :> à/jr eod 2> à/jr

rbspbkthvbiy.

(e)5

3;;

à/jr (f) 3> a/jr (k)5

36;

à/jr (d) 36 a/jr

=. ]jbo twg studbots gc e kiess whtj strbomtj gc 4> studbots wbrb bxpbiibd, tjb evbremb emb gc tjbkiess wjhkj wes 5: ybers dhd ogt kjeomb. Hc gob gc tjb studbots wes 54 ybers gid, wjet wes tjb emb(ho ybers) gc tjb sbkgod studbot7(e) 66 (f) 64 (k) 63 (d) 6>

KAET [eapib êpbr - 6

KETsyiiefus.kga


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:. Tjb fer mrepj mhvbo fbigw sjgws prgcht (ho >>,>>>) gc tjrbb kgapeohbs cgr cgur quertbrs gc tjbchoeokhei yber 6>55-56.

>

5>

6>

;>

4>

2>

3>

5st U tr 6od U tr ;rd U tr 4tj U tr

^rgcht(ho

>>,>

>>)

[uo Botb rte hoabot Aggo v t. I td. [ter Hotbroethgoe i

]jhkj kgapeoy rbkgrdbd tjb jhmjbst pbrkbotemb hokrbesb ho prgcht gvbr tjb prbvhgus quertbr durhomeoy gc tjb cgur quertbrs7(e) [uo Botbrtehoabot (f) Aggo vt. Itd. (k) [ter Hotbroethgoei (d) Fgtj (e) eod (f)

8. Hc tjb oeturei ouafbrs sterthom crga 5 erb wrhttbo gob ectbr tjb gtjbr tg cgra e 565-dhmht ouafbr, tjbowjet whii fb tjb iest dhmht gc tjb rbsuiteot ouafbr7(e) 2 (f) ; (k) 3 (d) =

5>. Cgur tefibs eod ; kjehrs kgst;,6>> wjbrbes 2 tefibs eod = kjehrs kgst2,;>>. ]jet hs tjb prhkbgc e tefib7(e)3>> (f)2>> (k) 4:> (d) ;>>

55. Chod tjb veiub gc e ho tjb bquethgo ;x6 (;e + 6) x + = 1 >, hc gob gc hts rggt hs 4.

(e);2

;(f)

4=

56(k)

5>

;(d)

55

;


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56. Tjb tefib mhvbo fbigw sjgws tjb ouafbr gc studbots edahttbd ekrgss verhgus kgursbs ho 2 bihtbhosthtutbs ho tjb yber 6>56.

Kgursbs

Hosthtutb^MDA FFE BOMM. AFF[

E 653 =6 ;>> 556

F 52> 5>> 4>> 52>K 6>> 56: 6>> 5=6

D 5:4 5>> 653 5>>

B 62> 52> 6:4 553

Ouafbr gc studbots edahttbd ho tjb chvb hosthtutbs ho AFF[ hs wjet pbrkbot gc tjb tgtei ouafbr gcstudbots edahttbd ho hosthtutbs E eod F tgmbtjbr7(e) 4;.;;% (f) 2>% (k) 35.:% (d) =4%

5;. Tjb qubsthgo mhvbo fbigw hs cgiigwbd fy twg stetbabots, H eod HH. Aer` tjb eoswbr ushom tjb cgiigwhomhostrukthgos62. ]jet wbrb tjb aer`s gc bekj studbot7H. X eod \ tgmbtjbr sbkurbd 5;64 aer`s.HH. Z eod \ tgmbtjbr sbkurbd 5;22 aer`s.

54. Tjb rbaehodbr wjbo 62:6hs dhvhdbd fy 6= hs(e) 6 (f) 62 (k) 5 (d) >

52. Tjb evbremb gc 2 ouafbrs hs 52>. Tjb iermbst ouafbr bxkbbds tjb saeiibst ouafbr fy 5>>. Hc tjbchvb ouafbrs erb ho erhtjabthk prgmrbsshgo, chod tjb saeiibst ouafbr.(e) 5>> (f) 52> (k) 5=> (d) 5;2

53. Chod tjb vgiuab gc wetbr (ho ihtrbs) tjet hs cigwhom tjrgumj e kyihodrhkei phpb gc dheabtbr 54 abtbrsho e ahoutb, hc wetbr hs cigwhom et tjb retb gc ;> a pbr jgur.(e) =.= 5>= (f) 5.24 5>3 (k) 5.24 5>= (d) =.= 5>3

5=. Chod tjb ouafbr gc weys ho wjhkj 54 pbrsgos keo sht go 54 kjehrs sukj tjet ; perthkuier pbrsgoseiweys sht tgmbtjbr.(e) 54! (f) 54! ;! (k) 55! (d) 56! ;!


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5:. Tjrbb dhkb erb rgiibd shauiteobgusiy. ]jet hs tjb prgfefhihty gc mbtthom e sua wjhkj hs agrb tjeo527

(e)=

653(f)

2

5>:(k)

5

3(d)

=

;3

58. Tjb phb-kjert mhvbo fbigw sjgws queoththbs (ho ai) gc dhccbrbot ihquhdsE, F, K, D eod Bho eahxturb.

;2

5=62

6=

4:

Ihquhd E Ihquhd F Ihquhd K Ihquhd D Ihquhd B

Hc tjb queothty gc ihquhd K hs dgufibd, `bbphom tjb queoththbs gc rbst gc tjb ihquhds kgosteot, chod tjb

pbrkbotemb gc ihquhd B ho tjb choei ahxturb.(e) 53.3=% (f) ;;.;;% (k) 56.2% (d) 5:%

6>. Hc c(x) 1 x6;x + 6 eod m(x) 1 x;6x, chod tjb veiub gc m(c(x)), cgr x 1 4.(e) 654 (f) 6>4 (k) 656 (d) 6>6

65. Tjb dhmht et tjb uoht piekb gc tjb prgdukt 565;5;2546hs(e) 3 (f) 4 (k) > (d) 6

66. E wgr` mbts kgapibtbd ho 5> deys hc bhtjbr 2 abo eod 4 wgabo wgr go ht gr = abo eod ; wgabowgr` go ht. Jgw igom whii 5> abo te`b tg kgapibtb tjb wgr`7

(e) 8 deys (f) 5> deys (k) 54 deys (d) 5; deys

6;. Twg sukkbsshvb dhskguots gc 6>% eod y% erb mhvbo go aer`bd prhkb sukj tjet tjb sbiihom prhkb hs:>>. Hc tjb aer`bd prhkb gc tjb erthkib hs 5,6>>, chod tjb veiub gc y.

(e)5

5; %;

(f) 5=% (k)6

53 %;

(d)5

55 %8


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64. Hc twg phpbs keo chii e khstbro gc kepekhty 5,>>,>>> ihtbrs ho 6> jgurs eod ;> jgurs rbspbkthvbiy, chodtjb thab te`bo fy fgtj gc tjba tg chii =2,>>> ihtbrs gc wetbr ho ht.(e) 64 jgurs (f) 8 jgurs (k) 6> jgurs (d) 56 jgurs

62. E treho trevbiihom et e kbrteho spbbd keo krgss e pbrsgo steodhom go tjb pietcgra ho 5> sbkgods, wjhibht te`bs 6 sbkgods agrb cgr tjb seab hc ht trevbis sigwbr fy 5: `a/jr. Chod tjb ibomtj gc tjb treho.(e) 4>> a (f) 62> a (k) ;>> a (d) 6>> a


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[bkthgo HH < Igmhkei Vbesgohom

63. ]jhib spbe`hom tg e iedy, Eryeo sehd Xgu erb tjb agtjbr gc tjb deumjtbr gc tjb goiy sgo gc tjb whcbgc tjb cetjbr gc ay shstbr's cetjbr. Jgw hs tjb iedy rbietbd tg Eryeo7(e) Agtjbr (f) Euot (k) [hstbr (d) Keoogt fb dbtbrahobd

6=. Chod tjb obxt tbra ho tjb sbrhbs< 62, 26, ;:, :;, 2>, 2, 563, WWWW(e) ;3 (f) 555 (k) 2;4 (d) 365

6:. E kufb hs pehotbd rbd go eii gc hts cekbs eod tjbo kut hotg 34 hdbothkei saeiibr kufbs. Jgw aeoy gctjbsb saeiibr kufbs jevb bxektiy twg cekbs pehotbd rbd7(e) 56 (f) 53 (k) 64 (d) ;6

68. E hs tg tjb [gutj gc F wjg hs tg tjb Best gc K. B hs tg tjb Best gc D wjg hs tg tjb Ogrtj gc K. ]jeths tjb dhrbkthgo gc D whtj rbspbkt tg E7(e) Ogrtj-wbst (f) ]bst (k) Best (d) [gutj-wbst

;>. Chod tjb obxt tbra ho tjb sbrhbs< F3D, K8C, B52L, J64 , WWWW(e) I6=Z (f) @6=Z (k) @;3Z (d) I;3Z

;5. Ho tjb dhemrea mhvbo fbigw, [querb rbprbsbots tjb ouafbr gc ceahihbs jevhom SKV, Vbkteomibrbprbsbots tjb ouafbr gc ceahihbs jevhom skggtbr, tjb saeiibr Gvei rbprbsbots tjb ouafbr gc ceahihbsjevhom TS eod tjb fhmmbr Gvei rbprbsbots tjb ouafbr gc ceahihbs jevhom Aeruth Ker.

55>

6>

5: 2>

5>

;>:>

52

4>

52

52

6>

Jgw aeoy ceahihbs erb tjbrb whtj eii tjb cgur tjhoms7(e) 4> (f) ;> (k) ;2 (d) 6>


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;6. Tjb cgiigwhom hs eo hiiustrethgo gc eo hoput eod tjb gutputs et tjb sufsbqubot stbps gc e rberreombabotho e wgrd erreombabot aekjhob.Hoput< Deohsj whii fb eppberhom cgr tjb bxeahoethgo[tbp H< whii Deohsj fb eppberhom cgr tjb bxeahoethgo[tbp HH< whii tjb Deohsj fb eppberhom cgr bxeahoethgo[tbp HHH< whii tjb cgr Deohsj fb eppberhom bxeahoethgo[tbp HS< whii tjb cgr bxeahoethgo Deohsj fb eppberhom([tbp HS hs tjb iest stbp cgr tjhs hoput)

Hc tjb hoput hs [urbsj eod Veabsj erb vbry cuooy abo, tjbo wjhkj stbp whii fb tjb choei stbp7(e) [tbp HS (f) [tbp S (k) [tbp SH (d) Ogob gc tjbsb

;;. Ho e aerrhemb, Vea sew e mhri eod tgid jhs cetjbr tjet tjb mhri hs tjb mreoddeumjtbr gc tjb cetjbr gc tjbgoiy kjhid gc tjb iedy wjga H eddrbss es mreodagtjbr. Jgw hs tjb mhri rbietbd tg Vea7(e) Euot (f) Kgusho (k) [hstbr (d) Keoogt fb dbtbrahobd

;4. Chvb studbotsE, F, K, D eod Berb steodhom ho e rgw crga ibct tg rhmjt ho eskbodhom grdbr gc tjbhrjbhmjts. E hs obhtjbr tjb sjgrtbst ogr tjb teiibst0 bxektiy ; studbots erb sjgrtbr tjeo D eod bxektiy

; studbots erb teiibr tjeo B. Hc K hs et tjb bxtrbab rhmjt bod, tjbo tjb kgrrbkt grdbr crga ibct tg rhmjths(e) FDEBK (f) FBEDK (k) BFEDK (d) FEBDK

;2. Bekj gc tjb cgur dhccbrbot meabs wes pieybd go e dhccbrbot dey crga Agodey tg Tjursdey. Jgk`byeod Krhk`bt wbrb ogt pieybd go twg kgosbkuthvb deys. Iudg wes pieybd ectbr Jgk`by fut fbcgrbKjbss. ]jhkj meab wes pieybd go Tubsdey7(e) Krhk`bt (f) Jgk`by (k) Iudg (d) Bhtjbr (f) gr (k)

;3. Chvb ibkturbs gc gob jgur bekj erb skjbduibd crga 5> p.a. tg 3> p.a. ho e dey. I5 eod I6 erbskjbduibd lust ectbr I;. I4 hs skjbduibd lust ectbr I2. Bxketiy twg ibkturbs wbrb skjbduibd fbtwbbo

I6 eod I2. ]jhkj ibkturb wes skjbduibd crga ;> p.a. tg 4> p.a.7(e) I2 (f) I; (k) I4 (d) Keoogt fb dbtbrahobd

;=. Chvb crhbods erb shtthom ho e rgw sukj tjet B hs edlekbot tg E fut ogt edlekbot tg K. F hs et gob gc tjbbxtrbab bods. Bxektiy twg crhbods erb shtthom fbtwbbo B eod F. ]jg hs dbchohtbiy shtthom edlekbot tgD7(e) B (f) K (k) E (d) F

;:. Ho e kbrteho kgdb ieomuemb, eipje fbte meaaeabeos Jb mhvbs kjgkgietbs, tjbte dbite meaaeabeos Jerry mbts kjgkgietbseod eipje dbite pjhabeos Jb mbts ogtjhom. ]jet hs tjb kgdb cgrogtjhom7

(e) meaae (f) pjh (k) dbite (d) eipje

;8. Ho e kbrteho kgdb ieomuemb, hc TEHT hs kgdbd es >55>, tjbo tjb kgdb cgr VEJEOB hs(e) >555>5 (f) 55>5>5 (k) >555>5 (d) >5>5>5


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4>. Chod tjb gdd gob gut.(e) ;64 (f) :35 (k) 268 (d) 3=3

45. Hc '#' abeos eddhthgo, '$' abeos suftrekthgo, '&' abeos auithpihkethgo eod '*' abeos dhvhshgo, tjbo chodtjb veiub gc< 4 & 3 * 6> # ;.3 * 6 $ 5.2 & 2.(e) 2 (f);.=2 (k)6.62 (d)4.2

46. Bekj gc tjb chvb studbotsE, F, K, D eod B eppberbd cgr et ibest gob eagom tjb chvb AFEbotreokb tbsts. Et ibest gob eagom tjba eppberbd cgr bekj tbst. F eppberbd goiy cgr AET eod KET.D dhd ogt eppber cgr ETAE eod ZET. E dhd ogt eppber cgr ZET eod KAET. F eod E dhd ogt eppber cgreoy kgaago tbst eod tjb seab hs trub cgr E eod B. Bekj studbot eppberbd cgr e dhccbrbot ouafbr gctbsts. Jgw aeoy studbots eppberbd cgr KET7(e) 5 (f) 6 (k) ; (d) 4

4;. Ho tjb cgiigwhom sbqubokb, jgw aeoy ibttbrs erb haabdhetbiy prbkbdbd fy e ouafbr eod haabdhetbiycgiigwbd fy e syafgi7FND4%R^5!A:*JB&8]3O#I=^$(e) > (f) 5 (k) 6 (d) ;

44. Cgur crhbodsMgpei, @hsjeo, Aedjev eod Shsjougwo dhccbrbot kers eagomH-5>, H-6>, Vhtz eodMbtzho og perthkuier grdbr. Tjb kers erb gc dhccbrbot kgigursXbiigw, Fiub, Mrbbo eod Vbd. Ht hseisg ogwo tjet hs bhtjbr e rbd gr e mrbbo kgigurbd ker.(hh) @hsjeo gwos bhtjbr Vhtz gr Mbtz.(hhh) Mgpei gwos H-5> eod Shsjou gwos e ybiigw kgigurbd ker.(hv)Obhtjbr H-5> ogr Mbtz hs e fiub kgigurbd ker.

]jhkj gc tjb cgiigwhom kgafhoethgos gc crhbod-ker-kgigur hs dbchohtbiy kgrrbkt7(e) @hsjeo-Vhtz-Fiub (f) Shsjou-Vhtz-Xbiigw

(k) Aedjev-H-6>-Vbd (d) Mgpei-H-5>-Mrbbo

42. Chod tjb wrgom ouafbr ho tjb sbrhbs< 3, 52, ;2, 88, 54;, 665(e) 54; (f) 88 (k) ;2 (d) 52


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43. Ho tjb mhvbo qubsthgo, e stetbabot cgiigwbd fy twg essuapthgos ouafbrbd H eod HH hs mhvbo. Eoessuapthgo hs sgabtjhom suppgsbd gr te`bo cgr mreotbd. Xgu jevb tg kgoshdbr tjb stetbabot eodtjb cgiigwhom essuapthgos eod dbkhdb wjhkj gc tjb essuapthgos hs/erb hapihkht ho tjb stetbabot.

Aer` ygur eoswbr es. Vbed tjb cgiigwhom ermuabot/pessemb kerbcuiiy eod eoswbr tjb qubsthgo tjet cgiigws.

Agst keokbr kbiis rbiy eiagst bxkiushvbiy go miukgsb tg cubi tjbhr mrgwtj,seys Muy br`hos gc tjbRohvbrshty gc Keihcgrohe et [eo Dhbmg. ]htj tjb rbsberkjbr Vudy Xeaemukjh gc @yusju Rohvbrshty hoCu`ug`e, Lepeo, br`hos cguod tjb kbiis wguid te`b up e shahier sumer keiibd 6-dbgxymiukgsb. Futtjhs sumer pjyshkeiiy dhsigdmbs e prgtbho whtjho tjb kbii tjet muerds e suhkhdb swhtkj. Gokb bxpgsbd,tjb swhtkj keo fb ekthvetbd fy e drum keiibd EFT-63;. Tjhs hiis tjb kbii fy ihfbrethom prgtbhos tjetgrdbr ht tg kgaaht suhkhdb.

]jhkj gc tjb cgiigwhom suaaerhzbs tjb efgvb ermuabot7(e) Vbsberkjbrs jevb trhk`bd miukgsb-bethom keokbr kbiis wjhkj ibevbs e suhkhdbswhtkj whtjho tjb

kbiis gpbo tg ettek`.(f) Keokbr keo ogw fb trbetbd fy ushom e sumer tg dhsigdmb prgtbhos.(k) Vbsberkjbrs jevb trhk`bd miukgsb-bethom keokbr kbiis hotg kgosuahom e sumer tjet bssbotheiiy

pghsgos tjba - ht ibevbs e suhkhdbswhtkj whtjho tjb kbiis gpbo tg ettek`.(d) Tjb trbetabot cgr keokbr jes fbbo dhskgvbrbd.

=5. Vbed tjb cgiigwhom ermuabot/pessemb kerbcuiiy eod eoswbr tjb qubsthgo tjet cgiigws.

Beago AkKrgry et Rohvbrshty Kgiibmb Igodgo usbd cAVH tg skeo tjb frehos gc 6> gutwerdiy jbeitjykjhidrbo wjg jed fbbo aeitrbetbd eod 6; kgotrgiscrga secb bovhrgoabots. Durhom tjb skeos, tjbkjhidrbo, embd 56 go evbremb, vhbwbd e ahxturb gc sed, obutrei eod eomry cekbs. ]jbo tjby seweomry cekbs, tjb aeitrbetbd kjhidrbo sjgwbd bxtre ekthvhty ho tjb erbes gc freho ogwo tg fb hovgivbdho tjrbet dbtbkthgo eod eothkhpethgo gc peho. Kgafet sgidhbrs sjgw shahier jbhmjtbobd ekthvhty.

Tjb ermuabot keo fb fbst suaaerhzbd ho wjhkj gc tjb cgiigwhom weys7(e) Ahods gc kjhidrbo rbspgod tg sgab shtuethgos ho e pettbro shahier tg tjet cguod ho eduits.(f) Tjb frehos gc kjhidrbo crga vhgibot jgabs cuokthgo ih`b tjgsb gc sgidhbrs wjbo ht kgabs tg

dbtbkthom tjrbets.

(k) Tjb efhihty tg edept tg tjrbets ho prbsbot ho kjhidrbo es wbii es eduits.(d) Kbrteho erbes gc tjb juaeo freho sjgw jbhmjtbobd ekthvhty ho rbspgosb tg tjrbets.

=6. Vbed tjb cgiigwhom ermuabot/pessemb kerbcuiiy eod eoswbr tjb qubsthgo tjet cgiigws.

Vbbae


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=;. Vbed tjb cgiigwhom ermuabot/pessemb kerbcuiiy eod eoswbr tjb qubsthgo tjet cgiigws.

Dgktgr Z


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=2. Vbed tjb mhvbo ermuabot kerbcuiiy eod eoswbr tjb qubsthgo tjet cgiigws.

Vethoms embokhbs wbrb gob gc tjb aelgr kuiprhts gc tjb choeokhei krhshsfbstgwhom tgp-ogtkj, trhpib-E rethoms go tjguseods gc agrtmemb-fek`bd sbkurhthbs tjet prgvbd tg fb wgrtj ibss tjeo luo` wjbotjb jgushom fuffib furst. Ht jes te`bo tjrbb ybers, fut tjb oethgos feo`hom rbmuietgrs jevb ogwaedb e mggd prgpgsei tg rbagvb tjb retbrs es tjb gcchkhei erfhtbrs gc choeokhei rbihefhihty eod rbpiekbtjba whtj e sbt gc gflbkthvb, treosperbot krhtbrhe tg dbtbrahob tjb rhs`hobss gc essbts ho tjb tredhompgrtcgihgs gc tjb oethgos ;> fhmmbst feo`s

]jhkj gc tjb cgiigwhom strbomtjbos tjb ermuabot75. Vethoms embokhbs wbrb pehd ahiihgos fy tjb kgapeohbs eod feo`s wjgsb sbkurhthbs tjby retb.6. Vbmuietgrseod tjb choeokhei systbaobbd e agrb gflbkthvb wey tg essbss rhs`.

(e) Goiy 5 (f) Goiy 6 (k) Fgtj 5 eod 6 (d) Obhtjbr 5 ogr 6


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[bkthgo HS < Mbobrei Ewerbobss

=3. ]jhkj gc tjb cgiigwhom jes fbbo tjb 5>>tjahsshgo gc Hodheo [pekb Vbsberkj Grmeohsethgo (H[VG)7(e) [IS K-65 (f) M[IS : (k) [IS K-52 (d) VH[ET

==. ]jhkj gc tjb cgiigwhom pieybrs rbkbotiy eooguokbd jhd rbthrbabot crga tjb Tboohs7(e) Eody Aurry (f) Vecebi Oedei (k) Vgmbr Cbdbrbr (d) Eody Vgddhk`

=:. Dr. Sbrmjbsb @urhbo hs rbietbd whtj. ]jhkj gc tjb cgiigwhom kguotrhbs hs ogwo es tjb Vgk` gc giyobshe7(e) Tgome (f) Obw \beieod (k) Ohbu (d) [eage

:5. Vbkbotiy, e spbkhei kgurt kgovhktbd ;6 pbgpib, ho hoceagus 6>>6 Oergde ethye rhgts kesb. Oergdeêthye rhgts erb rbietbd whtj56-6>5; rbibesbd go 2 [bptbafbr6>56 fy tjb ]grid Bkgogahk Cgrua7(e) 28 (f) 3> (k) 35 (d) 36

:;. ]jhkj gc tjb cgiigwhom pbrsgoeihthbs jes fbkgab tjb chrst pbrsgo crga Hodheo-Eabrhkeo grhmho tgsbrvb es e periheaboterheo cgr Dbagkrethk Oethgoei Kgovbothgo7

(e) rbbte [jej (f) Hodre Oggyh(k) @hreo Aeluader [jew (d) [ahte [jej

:4. Vbkbotiy Edhth Au`jbrlbb wgo wjhkj gc tjb cgiigwhom tjb prbsthmhgus ewerd7(e) [tgk`jgia ]etbr rhzb (f) Ograeo Fgrieum Ewerd(k) uihtzbr rhzb (d) Fgg`br rhzb

:2. Vbkbotiy, KHK Bobrmy Kgrp gc Keoede wes ekquhrbd fy wjhkj gc tjb cgiigwhom Hodheo kgapeohbs7(e) Tete [tbbi (f) Lhodei [tbbi eod gwbr Ihahtbd (L[Î)(k) [EHI (d) Fjusjeo [tbbis

:3. Vbkbotiy, wjhkj gc tjb cgiigwhom yguom pgihthkheo jes fbbo kgaahsshgobd tg fb e Ihbutboeot hoTbrrhtgrhei Eray7(e) Gaer Efduiie (f) Vejui Meodjh (k) E`jhisbj Xedev (d) [ekjho higt

:=. Jhmj luapbr Mhrhsje Jgseoemere Oemerelbmgwde wgo e shivbr abdei et Igodgo ereiyaphks Meabs.Jb fbigoms tg> krgrbrupbbs tg tjbhr hovbstgrs whtjho tjrbb agotjs whtj 52 pbr kbot hotbrbst7(e) Vbiheokb Kephtei (f) LEX^BB Choeokbs(k) [ejere (d) JDCK Hovbstabots

85. ]jhkj gc tjb cgiigwhom kguotrhbs tgppbd tjb abdei teiiy ho Igodgo Giyaphks7(e) Kjhoe (f) Vusshe (k) R[E (d) [gutj @grbe

86. Vbkbotiy, Tjb Figgafbrm Aer`btsaemezhob jes hokiudbd wjhkj Hodheo pbrsgoeihty ho tjb ihst gc 2>agst hociubothei pbgpib ho tjb choeokb ketbmgry7(e) Kjeode @gkjer (f) [h`je [jerae

(k) @hreo Aeluader [jew (d) Aeate Feobrlbb

8;. ]jhkj gc tjb cgiigwhom feo`s jes eooguokbd tjet ht hs mghom tg ieuokj hts sbrvhkbs go sgkhei abdhepietcgra Cekbfgg ho grdbr tg bxpeod hts hotbrobt feo`hom sbrvhkbs7(e) [FH (f) JDCK (k) OF (d) HKHKH

84. Vbkbotiy, wjhkj gc tjb cgiigwhom kguotrhbs jes uoeohagusiy pessbd e rbsgiuthgo tg iefbi tjb Jeqqeohobtwgr` es e cgrbhmo tbrrgrhst mrgup7(e) Creokb (f) R@ (k) R[E (d) Vusshe

82. ]jhkj gc tjb cgiigwhom pbrsgoeihty hs kurrbot KEM7

(e) redbbp @uaer (f) Fh`rea [homj (k) Shogd Veh (d) S [ [eapetj

83. Iewsgos Fey fbekj hs igketbd ho wjhkj gc tjb cgiigwhom stetbs7(e) Teahioedu (f) Eodjre redbsj (k) Gdhsje (d) @breie

8=. êrtjeseretjh [jgab jbeds tjb bxpbrt kgaahttbb go>. Tjb Zbogo phkùp kef jes fbbo ieuokjbd fy f

55 f 56 e 5; k 54 f 52 e 53 e 5= d 5: f 58 k 6> f

65 e 66 d 6; k 64 f 62 k 63 e 6= d 6: k 68 e ;> d

;5 d ;6 f ;; k ;4 f ;2 k ;3 f ;= e ;: f ;8 d 4> f

45 d 46 d 4; k 44 e 42 f 43 k 4= e 4: k 48 d 2> k

25 k 26 d 2; d 24 d 22 f 23 e 2= d 2: k 28 e 3> f

35 e 36 f 3; f 34 e 32 d 33 k 3= k 3: f 38 f => k

=5 f =6 k =; f =4 k =2 e =3 e == d =: d =8 e :> k

:5 k :6 e :; d :4 f :2 f :3 d := k :: f :8 e 8> k

85 k 86 d 8; d 84 k 82 k 83 f 8= k 8: k 88 d 5>> e


22/27

5. k Hotbrbst cgr tjb chrst 2 ybers

5>>>>> : 24>,>>>

5>>

Hotbrbst cgr tjb iest 6 ybers

54>>>> 5> 66:,>>>

5>>

Jbokb, choei eaguot rbkbhvbd fy jha 1 54>>>> + 6:>>>

1 5,3:,>>>.

6. f Eaguot gc sphrht 1 =2 ihtbrs

Eaguot gc wetbr 1 62 ihtbrs

Ibt x ihtbrs wetbr tg fb eddbd tg kgovbrt ht hotg 3>%

sphrht sgiuthgo. Tjbo,

=25>> 3>

5>> x 1

+

=2>> 1 3>>> + 3>x

3>x 1 =2>> 3>>>

52>>x 62 ihtbrs.

3> 1 1

;. d Tjb rethg ho wjhkj prgcht whii fb sjerbd eagom Eley,Fgaeo eod Kjhrem1 6:>>> 56 < 4>>>> = < 23>>> 21 3 < 2 < 2

Jbokb, sjerb gc Fgaeo2

;6>>>53

1 1 5>,>>>.

4. f Ibt tjb grhmhoei prhkb gc tjb aekjhob fb 5>>.^rhkb ectbr 6>% hokrbesb 1 5>> + 6>% gc 5>> 1 56>^rhkb ectbr 52% dbkrbesb ho tjb cgiigwhom ber1 56>52% gc 56> 1 5>6

Obt hokrbesb ho tjb prhkb gc tjb aekjhob 1 5>65>>1 6Jbokb, prhkb gc tjb aekjhob hokrbesbs fy 6%.

2. f Ibt tjb ouafbr gc fgys fb 5;x eod tjb ouafbr gc mhris

fb 5>x.

Crga stetbabot H% agrb tjeo

tjet gc mhris. Fut, wb dgot jevb eoy hocgraethgo

rbmerdhom tjb tgtei ouafbr gc studbots. [g wb keot

mhvb tjb eoswbr crga stetbabot H eigob.

Crga stetbabot HH a fy ker5:>

; jrs3>

1 1

Thab te`bo tg kgvbr 64> à fy treho64>

; jrs:>

1 1

Thab te`bo tg kgvbr ;>> à fy fus;>>

3 jrs2>

1 1

Tgtei thab te`bo tg kgapibtb tjb wjgib lguroby

1 ; + ; + 3 1 56 jrs

Evbremb spbbdTgtei dhsteokb

Tgtei thab te`bo1

5:> 64> ;>>

56

+ +1

=6>3> à/jr.

561 1

=. e [ua gc embs gc 4> studbots 1 4> 5: 1 =6>[hokb 6 studbots ibct, sua gc embs gc ;: studbots 1 ;:5: 1 3:4

[ua gc embs gc 6 studbots 1 =6>3:4 1 ;3

Jbokb, emb gc tjb sbkgod studbot 1 ;3 54 1 66ybers.

Eitbroetb Abtjgd%, wjhkj hs tjb jhmjbst eagom tjb eii.

8. e Ouafbrs crga 5 tg 8 whii mhvb tjb chrst 8 dhmhts eodouafbrs crga 5> tg 32 whii mhvb tjb rbaehohom 556dhmhts.Jbokb, iest dhmht gc tjb rbsuiteot ouafbr 1 2.

5>. f Ibt tjb prhkb gc e tefib eod e kjehr fb x eod yrbspbkthvbiy.Ekkgrdhom tg tjb qubsthgo,4x + ;y 1 ;6>> ... (h)2x + =y 1 2;>> ... (hh)Crga bquethgos (h) eod (hh), wb mbtx 1 2>> eod y 1 4>>Jbokb, prhkb gc e tefib 1 2>>.


23/27

55. f [hokb 4 hs e rggt gc ( )6;x ;e 6 x = > + + 1 ,

( ) ( )( )6 4=

; 4 ;e 6 4 = > e .56

+ + 1 1

56. e Ouafbr gc studbots edahttbd ho AFF[ ho tjb chvbhosthtutbs 1 556 + 52> + 5=6 + 5>> + 553 1 32>Tgtei ouafbr gc studbots ho hosthtutb E 1 =>>Tgtei ouafbr gc studbots ho hosthtutb F 1 :>>

Jbokb, rbquhrbd pbrkbotemb32>

5>> 4;.;;%.52>>

1 1

5;. kZ X \

6>62 Z X \ 3>=2;

+ +1 + + 1

Crga stetbabot H, X + \ 1 5;64Crga stetbabot HH, Z + \ 1 5;22Jbokb, ushom fgtj tjb stetbabots tgmbtjbr wb keoeoswbr tjb qubsthgo.

54. f Tjb rbaehodbr wjbo 62:6hs dhvhdbd fy 6= hs tjb seab

es tjb rbaehodbr wjbo (6)

:6

hs dhvhdbd fy 6=. Ogw,ushom Vbaehodbr Tjbgrba,(6):61 4451 (44)5>4 1 (623)5> 4]jbo 623 hs dhvhdbd fy 6=, tjb rbaehodbr hs 5;.

5;5> 4 1 5382 4

]jbo 538 hs dhvhdbd fy 6=, tjb rbaehodbr hs =.

=2 4 1 486 = 4 1 486 6:

]jbo 48 hs dhvhdbd fy 6=, tjb rbaehodbr hs 66 gr 2eod wjbo 6: hs dhvhdbd fy 6=, tjb rbaehodbr hs 5.

(2)6 5 1 62 hs tjb rbaehodbr wjbo 62:6hs dhvhdbd

fy 6=.

52. e Ibt tjb saeiibst ouafbr fb e.

Iermbst ouafbr 1 e + 5>>

o 5 oo

[ (e e )6

1 +

2=2> (e e 5>>)

6 1 + +

e 5>> 1

Jbokb, saeiibst ouafbr 1 5>>.

53. e Ibomtj gc wetbr tjet jes cigwo gut gc tjb phpb ho eahoutb 1 spbbd gc wetbr thab

1 ;> `a/jr 5 ahoutb 5 5;> `a 2>> a3> 6

1 1 1

Sgiuab gc wetbr cigwo gut ho e ahoutb 1 Sgiuab gckyihodrhkei phpb

6 666r j (=) 2>>=

1 1 1 ==>>> a;

1 (==>>> 5>>>) i 1 =.= 5>=ihtrbs.

5=. d [hokb ; perthkuier pbrsgos eiweys sht tgmbtjbr, tjbywhii fb kgoshdbrbd es e shomib hdbothty.

Tgtei ouafbr gc hdboththbs tg fb erreombd1 (54;) + 5 1 55 + 5 1 56Jbokb, rbquhrbd ouafbr gc erreombabots 1 56! ;!.

5:. f Tgtei ouafbr gc gutkgabs 1 3;1 653Ogw e sua agrb tjeo 52 keo fb gftehobd ho tjbcgiigwhom weys cevgurefib gutkgabs

Jbokb, rbquhrbd prgfefhihty 15> 2

.653 5>:

1

58. k Tgtei queothty gc tjb ahxturb hohtheiiy1 5= + ;2 + 4: + 6= + 62 1 526 aiVbquhrbd pbrkbotemb

625>> 56.2%.

526 4:

6>. f c(4) 1 46;(4) + 6 1 3Jbokb, m(c(4)) 1 m(3) 1 3;6(3) 1 6>4.

65. e 565;5;2546

Rohts dhmht gc 565; 1 6Rohts dhmht gc 5;2 1 ;Rohts dhmht gc 546 1 3Rohts dhmht gc 565;5;2546

1 Rohts dhmht gc 6 ; 3 1 3.

66. d Ibt tjb wgr (ho uohts) dgob fy e aeo eod e wgaeo hoe dey fb aeod wrbspbkthvbiy eod tjb tgtei wgr` tgfb dgob fb 5>> uohts.

5> (2a + 4w) 1 5>> (h)5> (=a + ;w) 1 5>> (hh)

Crga bquethgos (h) eod (hh), wb mbt, a5>

5;

Jbokb, thab te`bo fy 5> abo tg kgapibtb tjb wgr`

5>> 5;5; deys.

5> 5>

6;. k Tgtei dhskguot mhvbo 1 56>>:>> 1 4>>[.^. ectbr 5st dhskguot gc 6>%1 56>>6>% gc 56>> 1 83>[.^. ectbr 6od dhskguot gc y%

1 83>y% gc 83>Ekkgrdhom tg tjb qubsthgo,83>y% gc 83> 1 :>>

83>y83> :>>

5>> 1

53> 5>> 2> 6y % h.b. 53 %.

83> ; ;

1 1


24/27

64. f ^ert gc teo` chiibd fy fgtj tjb phpbs ho gob jgur

15 5 ; 6 2 5

6> ;> 3> 3> 56

++ 1 1 1

[g thab te`bo tg chii tjb teo` fy twg phpbs 1 56 jrs

Ogw, pert gc teo` tjet jes tg fb chiibd 1=2>>> ;

5>>>>> 41

Jbokb, ;

tj4pert gc tjb teo` whii fb chiibd ho

;56 8 jrs.

4 1

62. k Ibt ibomtj gc tjb treho fb xa. Tjbo,

x x 25:

5> 56 5: 1

x2 x ;>> a.

3> 1 1

63. e Eryeos shstbr's cetjbr's cetjbr hs jhs/jbr mreodcetjbreod jhs/jbr mreodcetjbr's goiy sgo hs jhs/jbr cetjbr.Eryeos cetjbr's whcb hs jhs/jbr agtjbr. Jbokb, tjbiedy hs tjb agtjbr gc Eryeo.

6=. d 62, 26, ;:, :;, 2>, 2, 563, WWHt kgoshsts gc twg sbrhbs, 563, WW[brhbs HH< 26, :;, 2, WWOuafbrs ho tjb sbkgod sbrhbs jevb fbbo gftehobd fyrbvbrshom tjb grdbr gc tjb dhmhts gc tjb ouafbrs ho tjbchrst sbrhbs.Jbokb, tjb obxt tbra whii fb rbvbrsb gc 563, h.b., 365.

6:. k Ho tjb chmurb mhvbo fbigw sjgws e cekb gc tjb iermbrkufb tjet hs kut hotg 34 hdbothkei kufbs.

Tjb ahddib kufbs et bekj bdmb gc tjb iermbr kufbjevb bxektiy twg cekbs pehotbd.

[hokb ouafbr gc bdmbs gc e kufb 1 56Jbokb, ouafbr gc saeiibr kufbs jes bxektiy twg cekbspehotbd rbd 1 56 6 1 64.

Eitbroetb sgiuthgo.

;6. f Bvbry stbp hovgivbs tjb erreombabot gc gob wgrd ho

rbvbrsb eipjefbthkei grdbr.[tbp H< vbry [urbsj eod Veabsj erb cuooy abo[tbp HH< vbry [urbsj Veabsj eod erb cuooy abo[tbp HHH< vbry [urbsj Veabsj abo eod erb cuooy[tbp HS< vbry [urbsj Veabsj abo cuooy eod erb[tbp S< vbry [urbsj Veabsj abo cuooy erb eodJbokb, [tbp S hs tjb choei stbp.

;;. k Veas gob gc tjb perbots hs tjb goiy kjhid gc tjbmreodagtjbr gc tjb mhri. Jbokb, tjb mhri hs tjb shstbr gcVea.

;4. f Crga ibct, D whii fb et tjb 4tj pgshthgo eod B whii fb et

tjb 6od pgshthgo. Ogw, E hs ogt et eoy gc tjb bxtrbabbods, tjbrbcgrb, jb jes tg fb et tjb ;rd pgshthgo crgaibct. Eisg, K hs et tjb bxtrbab rhmjt bod. [g, tjb kgrrbktgrdbr hs FBEDK.

;2. k Tjb twg pgsshfib kesbs erb I2

6>-;> I4

;>-4> I;

4>-2> I6

2>-3> I5

Jbokb, I; wes sjbduibd crga ;> p.a. tg 4> p.a.

;=. e Tjb twg pgsshfib kesbs erb.[g E 1 5, F 1 >, K 1 5, D 1 >,eod sg go.Jbokb, tjb kgdb cgr VEJEOB hs >5>5>5.

4>.f Bxkbpt :35, eii gtjbrs erb squerbs gc oeturei ouafbrs.

45. d Mhvbo bxprbsshgo hs + ;.3 65.2 2Eppiyhom FGDAE[, wb mbt

4 35.: =.2 5.6 5.: =.2 4.2.

6>

+ 1 + 1

46. dAET KET ETAE ZET KAET

E Z Z

Z ZF Z Z Z

K

D Z Z

B Z

Jbokb, 4 studbots eppberbd cgr KET.

4;. k Goiy O eod ^ sethscy tjb mhvbo kgodhthgos.

44. e Tjb mhvbo hocgraethgo keo fb sjgwo whtj tjb jbip gctjb tefib mhvbo fbigw.

Mgpei @hsjeo Aedjev Shsjou

H - 5> Vhtz H - 6> Mbtz

Mrbbo/ Vbd/ Fiub Xbiigw

Vbd Mrbbo

Crhbod

Ker

Kgigur

Jbokb, gpthgo (e) hs dbchohtbiy kgrrbkt.

42. f Tjb sbrhbs hs. k ^gwbr kgosuapthgo hs eo hodhketgr gc dbvbigpabot

eod ho og wey dbpbods go pgwbr retbs. Jbokb, goiy

kgokiushgo H cgiigws.

25. k ^gpuier ho gpthgo (e) hs hokgoshstbot whtj uodbrahobsstefhihtyho tjb sbotbokb. Jbokb, gpthgo (e) hs obmetbd.Ho gpthgo (f) pbgpib prgchibhs mreaaethkeiiy hokgrrbkt,ho gpthgo (d) ibgterd prgchib hs eisg hokgomrugus esibgterd hs e kigsb chtthom gob phbkb merabot. Jbokbgpthgo (k) hs tjb kgrrbkt eoswbr.


26/27

26. d Ho gpthgo (e) dg ogt cuiiy shom wjet hs fbhom sehd hsigmhkeiiy hokgrrbkt. Ho gpthgo (f) phgusfbhom rbietbd tgpbgpib bxpigdb whtj krhbs gc ]ej! hs eisg gut gcpiekb. Jbokb, gpthgo (d) hs tjb rhmjt eoswbr.

2;. d Ho gpthgo (e) kgoohvhom ludhkhei pgwbrs wguid fbhokgoshstbot, ho gpthgos (f) eod (k) kgvbrhom eodkgovbrthom ludhkhei pgwbrs hs eisg hiigmhkei. Jbokbgpthgo (d) hs tjb eoswbr.

24. d Ho gpthgo (e) eod (f) kgokbeihom hts lgys. eodkgokbeihom hts wemmbry erb gut gc piekb. Tjbsbotbokb tei`s efgut tjb ^estgreiihcb fbhom dbihmjtcuifut ogt kgapibtbiy ciewibss, Jbokb, hiiustrethgo,abtjgd eod hdyiihk dg ogt cht. Gpthgo (d) chtsepprgprhetbiy.

22. f Gutrembeod dbstrukthgoerb tjb agst fbchtthom wgrds.

23. e Drewhom go gobs ceoky abeos ushom gobshaemhoethgo.

2=. d Vbsthom go gobs ieurbisabeos fbhom kgapiekbot whtjwjet gob jes dgob ho ihcb.

2:. k Ae`hom og fgobsefgut sgabtjhom abeos ogt jevhom

eoy jbshtethgo ho ekkbpthom sgabtjhom.

28. e Tg ae`b e kibeo frbest gc bvbrytjhom hs tg kgocbsswhtjgut rbsbrvb.

3>. f E hs eo biefgrethgo gc tjb dbkihohom cgrbhmo tredbabothgobd ho K. Jbokb, KE hs e aeodetgry pehr tg wjhkjTjus ho D rbcbrs. Tjhs mhvbs us KED jbokb, gpthgo(f) hs tjb kgrrbkt kjghkb.

35. e Tjb kgrrbkt grdbr sjgiuid fb FKDBE, FK hs e aeodetgrypehr fbkeusb sbotbokb F hotrgdukbs prgkurbabot eod

sbotbokb K mhvbs curtjbr hocgraethgo efgut ht. [botbokbE hs tjb kgokiudhom stetbabot. Jbokb FKDBE hs tjbkgrrbkt grdbr.

36. f Ieomuembkeoogt fb eo bxbrkhsb gr treoshthgo. Jbokbe eod d erb ruibd gut. Eod kkeo fb ruibd gut go tjbfeshs gc tjb sbkgod fieo`0 wbery dgbs ogt cht tjbkgotbxt.

3;. f Tjb kgaperhsgo hs fbtwbbo Vussheo aushk eod aushk

gc Creokb, tjbrbcgrb tjb edlbkthvbs sjguid jevb edbmrbb gc kgaperhsgo.

34. e ]b erb tei`hom gc twg ekthgos< (h) Aeoh ahssbd twg

fusbs0 eod (hh) Aeoh wes dbtbrahobd tg mbt hotg tjbtjhrd fus. Eod tjb twg ekthgos erb jeppbohom gobectbr tjb gtjbr, ogt shauiteobgusiy. Tjhs sbosb keoogtfb kgovbybd fy tjb perthkhpib ahsshom. ]b rbquhrbbhtjbr tjb pbrcbkt perthkhpib jevhom ahssbdgr tjb kieusbectbr jb jed ahssbd. Jbokb keod derb ruibd gut. Hce vbjhkib puiis gcc, ht ibevbs tjb rged ho grdbr tg stgpcgr e sjgrt thab. Cgr bxeapib0 Tjb ker puiibd gcc tjbagtgrwey tg chii up whtj pbtrgi. ]jbrbes hc e vbjhkib

puiis up, ht shapiy stgps0 bm et e fus stgp gr et tjbtrecchk ihmjts. Jbokb gpthgo fsjguid fb ruibd gut.

32. d Gpthgo (e) hs hokgrrbkt fbkeusb gc tjb usb gc prbsbotpbrcbkt kgothougus tbosb. Emeho, tg ruo whidiy dgbsogt jevb tjb sbosb gc mghom estrey. Jbokb, gptgho (f)hs eisg hokgrrbkt. Es cgr gpthgo (k), wjbo ibt hs cgiigwbdfy tjb gflbkt eod tjb hochohthvb, tjb wgrd dgbs ogtcgra e pert gc tjb hochohthvb.

33. k Tjb Cbdbrei Vbsbrvb hs kgokbrobd efgut tjb ibodbrseod tjb bccbkt go tjb jgushom aer`bt. Tjb ermuabotdgbs ogt hapiy tjet tjb Vbsbrvb hs kgokbrobd efguttjb prgchts aedb fy Ceoohb eod Crbddhb. Tjus, (5)strbomtjbos tjb kgokbros gc tjb Vbsbrvb eod (6) dgbsogt.

3=. k Tjb psykjgigmhkei skhbothst kgoshdbrbd jhs rethomabtjgd tg fb eoeigmgus tg e fummy tjbragabtbr wjbrbhoekkurekhbs mbt edlustbd tg yhbid e cehriy kgrrbktrbsuit.

3:. f Gpthgo (e) hs mbobrhk ho oeturb eod hs obmetbd. (k) eod

(d) erb hocbrbokbs tjet keo fb drewo crga tjb pessembeod bxprbss tjb hdbes tjet tjb eutjgr hs agst ih`biy tgemrbb whtj. Fut tjby dg ogt kepturb tjb cuii abeohom gc

tjb pessemb. Gpthgo (f) hs tjb agst epprgprhetb kjghkb.

38. f Tjb skgpb gc tjb tbra dbagkrethk mgvbroeokb jesogt fbbo dbchobd ho tjb mhvbo dbfetb. Tjus, (e) keoogtfb kgrrbkt. E kiber jhot efgut putthom e feo go obmethvbedvbrthshom hs eisg ogt rbcibktbd ho tjb dbfetb. Tjus,(k) hs hokgrrbkt. (d) mhvbs lusthkb tg tjb hssub bxprbssbdfy Vhddib fut cehis tg hokgrpgretb tjb gphohgo gc Tga.Tjus, (d) hs obmetbd. (f) bxprbssbs tjb hssub agstbccbkthvbiy.

=> . k Gpthgo (k) prbsbots tjb fbst pgsshfib suaaery gc tjbmhvbo pessemb. Ht hokiudbs tjb abothgo gc rbsberkjbrswjg jevb sukkbbdbd ho ushom tjb cubi usbd fy agstkeokbr kbiis tg ekt es tjbhr wbe`obss. Gpthgo (e) hskigsb fut hs hokgapibtb ho bxprbsshom tjb cuii hdbe.

=5. f (e) iek`s tjb spbkhchkhty prbsbotbd ho tjb pessemb eodhs mbobrhk ho oeturb. (k) eod (d) erb kgokiushgos tjetkeo fb drewo crga tjb pessemb fut cehi tg kepturb htscuii abssemb. (f) kepturbs tjb bssbokb bccbkthvbiy.

=6. k Gpthgo (e) hs hokgapibtb eod vemub. Gpthgo (f) hshokgrrbkt fbkeusb ht hs uokiber tjet wjhkj prekthkb hs

fbhom dbcbodbd fy Vbbte. (d) hs hokgrrbkt fbkeusbVbbte dgbs ogt emrbb tg Vbbae s ermuabot. (k)bxprbssbs tjb rbspgosb gc Vbbte agst epprgprhetbiy.

=;. f Tjb hssub fbtwbbo Dgktgr Z eod Dgktgr X hs efguttjb aeoembabot eod trbetabot gc deombrgusiy tjhoeogrbxhe obrvgse pethbots. Dgktgr Z prbskrhfbs tjbabtjgd gc cgrkb cbbdhom wjbrbes dgktgr X gppgsbs htfy khthom tjb rhs`s eod kgapihkethgos hovgivbd. (f)kepturbs tjb hssub agst bccbkthvbiy. (k) hs kigsb fut


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dbeis whtj pethbots ho mbobrei (tjb skgpb gc tjbermuabot hs ihahtbd tg eogrbxhe obrvgse pethbots). Tjus,ht hs obmetbd.

=4. k 6 keo fb hocbrrbd crga tjb ihob Tjb bapigybr `bbpsfuyhom uohts gc e pbrsgos pgtbothei, gr ogt fuyhom ht,dbpbodhom go tjb agoby jb peys tg bokguremb ht.Estjb prgdukthvb kepekhty keo fb hokrbesbd grdbkrbesbd go tjb feshs gc choeokhei bokgurembabot, hths ogt chxbd eod keo very. 5 keoogt fb hocbrrbd fbkeusbe kesb hs pgsshfib wjbo eo bapigybb lghobd e chrawhtj jhs jhmjbst prgdukthvb kepekhty fut jhs kepekhtydbkihobd whtj thab dub tg efsbokb gc choeokheibokgurembabot crga tjb bapigybr. Tjus, (k) hs tjbkgrrbkt kjghkb.

=2. e Tjb ermuabot hapihbs tjet tjb rethoms wbrb ahsibedhom.5 suppgrts tjb ermuabot fy dhskusshom tjb fbobchtdrewo fy tjb rethom embokhbs. 6 hs hokgrrbkt fbkeusbtjb systba usbd fy tjb embokhbs wes ogt gflbkthvb hooeturb sg tjb qubsthgo gc ae`hom ht agrb gflbkthvbdgbs ogt erhsb.

=3. e ==. d =:. d =8. e :>. k

:5. k :6. e :;. d :4. f :2. f

:3. d :=. k ::. f :8. e 8>. k

85. k 86. d 8;. d 84. k 82. k

83. f 8=. k 8:. k 88. d 5>>. e

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AICTE CMAT Sample Paper-2