class 7 imo 5 years ebook

8/19/2019 Class 7 IMO 5 Years EBook

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:. @ p`rdot mrnup gs pbòogom ò `w`rks kgoodr hnr stukdots, td`jedrs òk p`rdots. [ed p`rdot mrnuppbòs tn sd`t ted mudsts `rnuok ` jgrjub`r tìbd te`t e`s sd`tgom hnr :1. [ed mudsts wgbb id sd`tdkgo ted nrkdr nh stukdot, td`jedr, p`rdot go ` rdpd`tgom p`ttdro. ]en wgbb id ted 91 te mudst >(@) Ztukdot (I) [d`jedr (J) Q`rdot (K) Jòont id kdtdrlgodk

;. Yèub inumet ; p`jfdts nh ontdinnf p`pdr hnr sjennb b`st yd`r. D`je p`jfdt jnot godk 411 ontdinnf

p`pdrs. Ed usdk ìnut 91 ontdinnf p`pdrs d`je wddf. ]e`t gohnrl`tgno gs oddkdk tn hgok ted`pprnxgl`td oulidr nh ontdinnf p`pdrs Yèub e`k bdht `htdr ted sjennb yd`r w`s nvdr>(@) [ed oulidr nh enurs Yèub kgk enldwnrf dvdry k`y

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=. @ snjjdr bd`mud e`s 8; td ls jnlpdtgom go ` tnuro`ldot. Go d je rnuok, p`grs nh td`ls jnlpdtd.[ed td`l te`t wgos `kvòjds tn ted odxt rnuok. [ed tìbd mgvdo idbnw senws ted rdsubts nh ted hgrst9 rnuoks.@t ted dok nh wegje rnuok wgbb tedrd id noby 9 td`ls rdl`gogom, `ssulgom tedrd `rd on tgds>

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(@) Qrgyòf` (I) Zegfe` (J) Zode` (K) Wnmgt

01. @ jnlluogty swgllgom pnnb gs npdo no kghhdrdot k`ys kdpdokgom no ted `gr tdlpdr`turd. [ed mgvdotìbd senws ted `gr tdlpdr`turd no kghhdrdot k`ys.[ed k`tds bgstdk go ted tìbd senw te`t ted pnnb w`s jbnsdk noL`y 0, Cuod 0 òk Njtnidr 0. Gh ted pnnb w`s npdo no `bb tedntedr k`tds bgstdk, wegje nh ted hnbbnwgom st`tdldots idst kdsjrgidsted `gr tdlpdr`turd wedo ted pnnb gs npdo >

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00. [ed mgvdo tìbd senws ted tgjfdt prgjds `t ò `lusdldot p`rf. [gjfdt Qrgjds[ypd nh [gjfdts Qrgjd

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0:. ]egje nod nh ted hnbbnwgom kg`mr`ls idst gbbustr`tds ted terdd jb`ssds 3 Yenlius, Pu`krgb`tdr`b,Qnbymnos >

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90. @lgt jnuotdk ted oulidr nh pdnpbd go bgod hnr tgjfdts `t ted lnvgd ted`trd. Dvdry tgld ed s`w 4 pdnpbd,ed `kkdk ` tgjf l`rf no egs jnuotgom seddt, `s senwo idbnw.

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(@) 0; ý 9 + 4 < p (I) 0; Ý 9 Ý 4 < p (J) 0; Ý 4 + 9 < p (K) 0; + 4 ‚ 9 < p

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(@) :4 (I) 71 (J) 41 (K) 9:1

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9;. ]egje nh ted hnbbnwgom `rd jnrrdspnokgom p`rts nh ted twn mgvdojnomrudot hgmurds >

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8,18,07> gs kgvgsgibd iy 01.

(@) : (I) 8 (J) 4 (K) 1

9=. Ze`bgog se`kdk :/4 nh edr kdsgmo mgvdo no ted rgmet.

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95. [ed hr`jtgnos9 : ; 4, , òk; 8 5 01 `rd d`je dqugv`bdot tn . 0

9]egje nh ted hnbbnwgom st`tdldots rdprdsdots s

ted rdb`tgno idtwddo ted ouldr`tnr òk kdonlgo`tnr nh ted hr`jtgnos mgvdo ìnvd >(@) [ed ouldr`tnr gs twgjd ted kdonlgo`tnr (I) [ed kdonlgo`tnr gs twgjd ted ouldr`tnr (J) [ed ouldr`tnr gs 9 lnrd teò ted kdonlgo`tnr (K) [ed kdonlgo`tnr gs 9 lnrd teò ted ouldr`tnr

97. ]egje mrnup senws `bb ted oulidrs te`t `rd jnllno h`jtnrs nh :8 òk ;5 >

(@) 0, 9, :, ;, 8 (I) 0, 9, :, ;, 8, 09 (J) 0, 9, :, ;, 8, 7, 09, 05 (K) 0, 9, :, ;, 8, 5, 09, 9;

:1. ]egje nh ted hnbbnwgom hgmurds e`s 01 vdrtgjds >

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:9. Lr. Y`me`v gost`bbdk ` trgòmub`r pgdjd nh st`godk mb`ss ìnvd egs hrnot knnr.

]egje nh ted hnbbnwgom idst kdsjrgids ted trgòmbd wgte ted mgvdo ld`surds>:4± :4±

(@) @jutd dqugb`tdr`b trgòmbd

(I) Nitusd gsnsjdbds trgòmbd

(J) Ygmet sj`bdod trgòmbd

(K) Ygmet gsnsjdbds trgòmbd

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::. ]egje lnkdb idst rdprdsdots ted dxprdssgno0 9Ý >9 :

(@) (I) (J) (K)

:;. Lr. Z`lddr w`s trygom tn hgok ` tìbdjbnte hnr egs rdjt omub`r kgogom tìbd. Ed fodw ted `rd` òkpdrgldtdr nh ted tìbdtnp.

@rd` < :8 squ`rd ldtrds, Qdrgldtdr < 98 ldtrds]egje nh ted hnbbnwgom idst rdprdsdots ted wgkte òk bdomte nh ted tìbdtnp>

(@) ]gkte < 9 l, Bdomte < 05 l (I) ]gkte < : l, Bdomte < 09 l

(J) ]gkte < 8 l, Bdomte < 8 l (K) ]gkte < ; l, Bdomte < 7 l

:4. Bddb` bnnfdk `t sdvdr`b kghhdrdot hbnwdr `rròmdldots idhnrd purje`sgom nod. [ed `rròmdldotsv`rgdk go prgjd hrnl 04.89 tn :=.41. ]egje ld`surd nh k`t` jò id usdk tn kdsjrgid ted v`rg`tgnogo prgjd nh ted kghhdrdot `rròmdldots >

(@) Ldò (I) Lnkd (J) Yòmd (K) Ldkgò

:8. ]egje bgst nh gotdmdrs gs go nrkdr hrnl bd`st tn mrd`tdst >

(@) ‚ ;9, ‚:7, ‚ ;, ;1, ;0 (I) ‚ ;9, ;0, ;1, ‚ :7, ‚ ; (J) ‚ ;, ‚ :7, ;1, ;0, ‚ ;9 (K) ;0, ;1, ‚ ;, ‚ :7, ‚ ;9

:=. [ed h`jtnr trdd hnr ted oulidr 9; gs senwo edrd. 9;

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(@) [ed oulidr 9; gs prgld.

(I) [ed noby prgld h`jtnr nh ted oulidr 9; gs 09.

(J) [ed oulidrs 9;, 09 òk 8 `rd jnlpnsgtd.

(K) [ed oulidrs 9, :, 8 òk 09 `rd prgld h`jtnrs nh 9;.

:5. @sewgo usdk ted rubd bgstdk idbnw tn rdwrgtd ted dxprdssgno 019

Ý 014

< 01=

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(@) 5 ‚01 , idjùsd 5 ‚; Ý 58 < 5 ‚;‚8 (I) 501 , idjùsd 5 ‚; Ý 58 < 5 ;+8

(J) 5 ‚9 , idjùsd 5 ‚; Ý 58 < 5 ;‚8 (K) 59, idjùsd 5 ‚; Ý 58 < 5 ‚;+8

:7. @ b`kkdr te`t gs 0: l bnom bdòs `m`gost ` iugbkgom. [ed inttnl nh ted b`kkdr gs 4 l `w`y hrnl tedi`sd nh ted iugbkgom. Enw h`r up ted sgkd nh ted iugbkgom knds ted b`kkdr rd`je >

(@) 05 l (I) 08 l (J) 09 l (K) 5 l

;1. @ lgst`fd w`s l`kd go sglpbghygom ted dxprdssgno mgvdo idbnw.

Zglpbghy 3 4 + 9(8 + ;) ‚ 9 : , Ztdp 03 4 + 9(01) ‚ 9 : , Ztdp 93 =(01) ‚ 9 : , Ztdp :3 =1 ‚ 9 : ,Ztdp ;3 =1 ‚ 5, Ztdp 43 89.Go wegje stdp kgk ted hgrst lgst`fd `ppd`r >

(@) Ztdp 0 (I) Ztdp 9 (J) Ztdp : (K) Ztdp ;

ZDJ[GNO GGG 3 DXDYWK@W L@[EDL@[GJZ

;0. Lr. U p`jfs inxds hnr ò `ppbgòjd jnlpòy. Ed jò p`jf ` b`rmd inx go 01 lgoutds òk ` sl`bbinx go ; lgoutds. Ed oddks tn p`jf 01 b`rmd inxds òk 91 sl`bb inxds. Gh 9.4 enurs rdl`go idhnrdjbnsgom tgld, wgbb Lr. U e`vd tgld tn hgogse ted wnrf idhnrd jbnsgom tgld gh ed wnrfs wgtenut stnppgom>

(@) Wds, Lr. U wgbb hgogse ted wnrf go 0.5 enurs. (I) On, gt wgbb t`fd Lr. U ; enurs tn hgogse.

(J) Wds, Lr. U wgbb hgogse ted wnrf go 1.4 enur. (K) On, gt wgbb t`fd Lr. U : enurs tn hgogse.

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(@) a 0; (I) a 05 (J) a 7 (K) a 07

;:. Go ` h`jtnry, nod l`jegod l`fds hb`sebgmets t ` r`td nh 041 hb`sebgmets pdr enur, òk òntedr l`jegodl`fds ted s`ld hb`sebgmets `t ` r`td nh 0:4 hb`sebgmets pdr enur. ]egje nh ted hnbbnwgom dqu`tgnosjò id usdk tn hgok t , ted tnt`b oulidr nh hb`sebgmets inte l`jegods wgbb l`fd go 5 enurs>

(@) t < (041 + 0:4) ý 5 (I) t < 041(5) ‚ 0:4(5) (J) t < (041 + 0:4)5 (K) t < 041(5) + 0:4

;;. [ed tnt`b bdomte nh `bb snoms no ` JK, Lne`lldk inumet gs ìnut 51 lgoutds. D`je snom gs idtwddo; tn 8 lgoutds bnom. ]egje gs ` rd`snoìbd oulidr nh snoms te`t jnubk id no ted JK>

(@) 01 (I) ;1 (J) =; (K) 08

;4. Zno`b oddkdk tn l`fd 9 jnstulds hnr ` sjennb pb`y. [ed b`rmdr jnstuld rdqugrdk0;; ldtrds nh

l`tdrg`b, òk ted sl`bbdr jnstuld rdqugrdk :; ldtrds bdss teò ted b`rmdr nod. ]egje nh ted hnbbnwgom

dqu`tgnos jò id usdk tn hgok o , ted oulidr nh ldtrds nh l`tdrg`b oddkdk hnr ted sl`bbdr jnstuld >

(@) 0 :;; ;

o < + (I) 0 :;; ;

o < Ý (J) 0 :;; ;

o < µ (K) 0 :;; ;

o < -

;8. @ruo jò ruo 011 ldtrds go 91 sdjnoks. Gh ed jnlpdtds go ted ;11-ldtrds r`jd, ìnut enw lòysdjnoks wgbb gt t`fd egl tn ruo ted r`jd >

(@) 41 sdjs (I) ;1 sdjs (J) 51 sdjs (K) 91 sdjs

;=. ]egje nh ted hnbbnwgom st`tdldots rdprdsdots ted mrd tdst pdrjdot nh jeòmd >

(@) @ trdd mrdw hrnl 8 hddt tn 09 hddt go 0 yd`r.

(I) @o qu`rgul te t w`s nrgmgo`bby prgjdk `t a 51 gs onw a 0;1.

(J) @ pdrsno wensd s`b`ry w`s a 0111 pdr wddf gs onw d`rogom a 0911 pdr wddf.

(K) @ iìy wen wdgmedk = pnuoks `t igrte onw wdgmes 08 pnuoks.

;5. L`bgog òswdrdk =4% nh ted ;1 prnibdls no edr egstnry enldwnrf jnrrdjtby. Enw lòy prnibdlsno edr enldwnrf kgk sed òswdr jnrrdjtby >

(@) 07 (I) :1 (J) 95 (K) 01

;7. Gt tnnf @iegb`se` 04 lgoutds tn `ppby ` jn`t nh p`got tn ` pgdjd nh pnttdry. @htdr d`je jn`t sed w`gtdkjbnsd tn 81 lgoutds hnr ted p`got tn kry. ]egje gs ` rd`snoìbd `lnuot nh tgld gt jnubk e`vd t`fdohnr @iegb`se` tn e`vd `ppbgdk : jn`ts nh p`got òk hnr ted pnttdry tn id jnlpbdtdby kry >

(@) 014 lgoutds (I) 994 lgoutds (J) 074 lgoutds (K) 71: lgoutds

41. Gse` òk Zegvòg r`jdk tedgr tny j`rs. [ed mgvdoGse`

Zegvòg

4:011

ldtrds

07011

ldtrds

kg`mr`l senws ted kgstòjd ted j`rs tr`vdbbdkkurgom ted r`jd. Enw luje h`rtedr kgk Gse`'sj`r tr`vdb teò Zegvòg's j`r >

(@) :;

l011 (I) ;;

l011 (J) =9

l011 (K) 89

l011

;te GLN - 9101




4 te

Wd`r 9100

Jb`ss =




9 4te GLN - 9100


0. Gh ted bdttdrs nh ted wnrk GLQNY[@OJD `rd `rròmdk hrnl bdht tn rgm et go `bpeìdtgj`b nrkdr, tedo

wegje bdttdr wgbb id hte hrnl ted bdht> (@) N (I) O (J) L (K) F

9. Gh YDZJTD gs jnkdk `s :=914= òk QYNIBDL `s 7:;50=8, enw wgbb QYNJTYD id jnkdk> (@) 7:;14:= (I) 7:;1:4= (J) :5;14:= (K) :71;4:=

:. Ynegt bdht enld òk jyjb dk 01 fl tnw`rks Znute, tedo turodk rgmet òk jyjbdk 4 fl òk tedo `m`go

turodk rgmet òk jyjbdk 01 fl. @htdr tegs ed turodk bdht òk jyjbdk 01 fl. Enw lòy fgbnldtrds

wgbb ed e`vd tn jyjbd tn rd`je egs enld str`gmet> (@) 01 fl (I) 04 fl (J) 91 fl (K) 94 fl

;. Hgok ted nkk nod nut.

(@) (I) (J) (K)

4. ]egje nh ted hnbb nwgo m gs ted lgrrn r gl`md nh Hgm. (U), gh ted lgrrn r gs pb`jdk

`bnom LY >

(@) (I)

(J) (K)

8. ]e`t oulidr wgbb rdpb`jd ted qudstgno l`rf go ted mgvdo sdrgds>

05, 9;, 90, 9=, (>), :1, 9= (@) :: (I) 9; (J) :1 (K) 90

=. Hgok ted murd hrnl ted nptgnos wegje wedo pb`jdk go ted ibòf sp`jd nh murd (U) wnubk jnlpbdtds

ted p`ttdro.

(@)

(I) >

Hgm. (U) (J)

(K)

ZQ@JD HNY YNTME ]NYF




:4te GLN - 9100

5. Xgc`y gs 0= te hrnl ted bdht dok nh ` rnw nh 97 inys òk Lògse gs 0= te hrnl ted rgmet dok go ted

s`ld rnw. Enw lòy inys `rd tedrd idtwddo tedl go ted s`ld rnw> (@) 4 (I) 8 (J) : (K) K`t` go`kdqu`td

7. Qr`tgf rdldlidrs te`t egs irntedr's igrtek`y h`bbs `htdr 05 te @p rg b iu t idhnr d 99 ok @pr gb we gbd eg ssgstdr Z`fseg rdldlidrs te`t edr irntedr's igrtek`y h`bbs `htdr 91 te @prgb iut idhnrd 94 te @prgb. No

we`t k`td knds edr irntedr's igrtek`y h`bb> (@) 91 te @prgb (I) 90 st @prgb (J) 07 te @prgb (K) 99 ok @prgb

01. Lnegt wdot tn sbddp `t 83;4 p.l. Gh ed rnsd `t 09 onno, hnr enw lòy enurs kgk ed sbddp> (@) 0= enurs 04 lgos (I) 4 enurs 04 lgos (J) 09 enurs (K) 8 enurs ;4 lgos

00. Hgmurds (g), (gg), (ggg) òk (gv) jnostgtutd ted Qrnibdl sdt. [edrd gs ` kd ogtd rdb`tgnosegp idtwddomurds (g) òk (gg). Dstìbgse ` sglgb`r rdb`tgnosegp idtwddo murds (ggg) òk (gv) iy sdbdjtgom `

sugtìbd murd hrnl ted nptgnos te`t wnubk rdpb`jd (>) go murd (gv).

(@)

(I)

>

Qrnibdl Zdt

(g) (gg) (ggg) (gv)

(J)

(K)

09. @ squ`rd tròsp`rdot seddt wgte ` p ttdro gs mg vdo. Hgok nut h rnl ted nptgno s `s tn enw ted p`ttdro

wnubk `ppd`r wedo ted tròsp`rdot seddt gs hnbkdk `bnom ted knttdk bgod QP .

(@)

(I)

Q P

(J)

(K)

0:. @rròmd ted mgvdo wnrks go ` ldògomhub sdqudojd òk hgok ted jnrrdjt òswdr hrnl tednptgnos.

0. Gojnl d 9. Zt`tus :. Dkuj`tg no ;. ]dbb-idgom 4. Cni (@) :, 0, 4, 9, ; (I) 0, :, 9, 4, ; (J) 0, 9, 4, :, ; (K) :, 4, 0, 9, ;

0;. Hgok ted murd hrnl ted nptgnos wegje wgbb jnotgoud ted sdrgds dstìbgsedk iy ted Qrnibdl

Hgmurds.

(@) (I)Qrnibdl Hgmurds

>

(J)

(K)





; 4te GLN - 9100

04. Hgok ` murd hrnl ted nptgnos wegje jnot`gos Hgm. (U) `s gts dlidkkdk p`rt.

Hgm. (U)

(@) (I) (J) (K)

08. ]egje oulidr wgbb rdpb`jd ted qudstgno l`rf go ted mgvdo p`ttdro>

: ; 5 ; 9 4 ; 8 ; 4 7 >

(@) 5 (I) 7 (J) 01 (K) 00

0=. Hgvd pdrsnos wgte o`lds Q, L , T , [ òk U bgvd sdp`r`tdby go òy nod nh ted hnbbnwgom 3 ` p`b`jd, ` eut, `hnrt, ` enusd òk ` entdb. D`je nod bgfds twn kghhdrdot jnbnurs hrnl `lnom ted hnbbnwgom 3 Ibud, Ib`jf,Ydk, Wdbbnw òk Mrddo. T bgfds rdk òk ibud. [ bgfds ib`jf. [ed pdrsno bgvgom go ` p`b`jd knds ontbgfd ib`jf nr ibud. Q bgfds ibud òk rdk. L bgfds ydbbnw. U bgvds go ` entdb. L bgvds go ` ^^^^^^.

(@) Eut (I) Q`b`jd (J) Hnrt (K) Enusd

05. Hgok nut hrnl ted mgvdo nptgnos, ` murd wegje wedo pb`jdk go pb`jd nh qudstgno l`rf wgbb jnotgoud

ted sdrgds dstìbgsedk iy ted Qrnibdl Hgmurds.

(@)

(I)

(J) (K)

07. Hgvd mgrbs `rd sgttgom no ` idoje tn id pentnmr`pedk. Zewdt` gs tn ted bdht nh Ygje` òk tn tedrgmet nh Qg`. Lgse` gs tn ted rgmet nh Ygje`. Yddt` gs idtwddo Ygje` òk Lgse`.

]en gs sdjnok hrnl ted bdht go ted pentnmr`pe> (@) Yddt` (I) Lgse` (J) Qg` (K) Zewdt`

91. Qngotgom tnw`rks ` mgrb, @iegsedf s`ys, "[egs mgrb g s ted kùmetdr nh ted noby j egbk nh ly h`tedr."]e`t gs ted rdb`tgno nh @iegsedf's wghd wgte ted mgrb>

(@) Kùmetdr (I) Lntedr (J) @uot (K) Zgstdr


90. Hgok ted oulidr nh h`jtnrs nh =4. (@) ; (I) 8 (J) 5 (K) 01





44te GLN - 9100

99. @ kgvdr w`s kgv gom 011 ldtrds idbnw s d` bdvdb. Ed wdot knw o 91 ldtrds lnrd òk j`ld up

:4 ldtrds. Enw h`r idbnw sd` bdvdb kgk ed kgvd> (@) +54 ldtrds (I) ‚ 54 ldtrds (J) +44 ldtrds (K) ‚44 ldtrds

9:. [edrd `rd terdd kruls wgt e 084: bgtrds, 9980 bgtrds òk 949= bgtrds nh pdtrnb. [ed mrd`tdst pn ssgi bdsgzd nh ted ld`surgom vdssdb wgte wegje wd jò ld`surd ted pdtrnb nh òy krul wegbd dvdry tgldted vdssdb lust id jnlpbdtdby bbdk gs ^^^^^.

(@) :0 (I) 9= (J) 07 (K) ;0

9;. @ krul nh fdrnsdod ngb gs:

; hubb. ]edo 04 bgtrds nh ngb gs kr`wo hrnl gt, gt gs

=

09 hubb. [ed j`p`jgty

nh ted krul gs ^^^^.

(@) ;4 (I) 71 (J) 81 (K) Jò't id kdtdrlgodk

94. Hgok ted v`bud nh ted mgvdo dxprdssgno 3

(9 9 + 9 : + 9 ‚9 + 9 ‚: )

(@) 74

5 (I) 7=

5 (J)

77

5 (K)

75

5

KGYDJ[GNO (P. 98-9=) 3 Ztuky ted mr`pe j`rdhubby tn òswdr ted hnbbnwgom qudstgnos.

;41;11:41:11941911041

011411

O u l i d r

n h

M g r b s D o r n b b d k

Q`gotgomZtgtjegomKòjgom

Oulidr nh Mgrbs Dornbbdk go KghhdrdotEniiy Jb`ssds go X rgnus Gostgtutds go ` Wd`r

@ I J K DGostgtutds

98. ]e`t gs ted kghhdrdojd idtwddo ted tnt`b oulidr nh mgrbs dornbbdk go stgtj egom òk kòjgom hrnl `bb

gostgtutds tnmdtedr> (@) 41 (I) 94 (J) =4 (K) 54

9=. ]e`t gs ted tnt`b oulidr nh mgrbs dornbbdk go p`gotgom hrnl `bb ted gostgtutds tnmdtedr> (@) 0041 (I) 0911 (J) 09=4 (K) 0011





8 4te GLN - 9100

95. Kgvgkd 0; tnhh dds idtwddo @ofg t` òk @ose ub go te d r`tgn 4 3 9 rdspdjtgvdby.

(@) 9, 4 (I) ;, 01 (J) 01, ; (K) ;1, 5

97. Lr. @rvg ok spdoks :1% nh egs l nody no dkuj`tgno òk ed e`s tnt `b a 04,111. Enw lòy rupdds

knds ed spdok no egs dkuj`tgno> (@) a 4111 (I) a ;411 (J) a 0111 (K) a 4411

:1. Iy sdbbgom ` segrt hnr a 954 ` senpfddpdr bnsds 4%. @t we`t prgjd senubk ed sdbb ted segrt sn `s

tn m`go 04%> (@) a 974 (I) a :94 (J) a :11 (K) a :;4

:0. Go ted mgvdo murd, @I || ME || KD òk MH || IK || EG, ∡ HMJ < 51±. Hgok ted v`bud nh ∡ JEG.

(@) 51± H @

I J K

D E G

(I) 091±

(J) 011±

(K) 081±

:9. Znbvd hnr x 3 8 9

7: 4

050:

x x·+

+<

(@) 0

: (I)

9

: (J)

:

4 (K)

5

:

::. Go ted mgvdo murd, IJ gs prnkujdk tn K òk ∡ I@ J < ;1± òk ∡ @IJ < =1±.

Hgok ted v`bud nh ∡ @JK . (@) 0:1±

@

J KI

(I) 0;1±(J) 0=1±(K) 001±

:;. @ rdjtòmub`r dbk e`s bdomte òk ird`kte go ted r`tgn nh 08 3 7. Gh gts pdrgldtdr gs =41 jl. ]e`t

gs gts `rd`> (@) =4111 jl 9 (I) :9;11 jl 9 (J) 0;;11 jl 9 (K) 0;111 jl 9

:4. Go nur nh jd tedrd `rd 81% hdl`bd dlpbnydds. 41% nh `bb ted l`bd dlpbnydds `rd jnlputdr bgtdr`td.

Gh tedrd 89% dlpbnydds `rd jnlputdr bgtdr`td nut nh ted tnt`b 0811 dlpbnydds, tedo ted oulidr nh

hdl`bd dlpbnydds wen `rd jnlputdr bgtdr`td gs ^^^^^.

(@) 871 (I) 8=9 (J) 781 (K) Jò't id kdtdrlgodk





=4te GLN - 9100

:8. Enw lòy oulidrs `rd tedrd hrnl 011 tn 911>

(@) 011 (I) 010 (J) 77 (K) Onod nh tedsd

:=. ]rgtd knwo ted Ynlò ouldr`b hnr 79.

(@) BJGG (I) JUUG (J) JBXGGG (K) UJGG

:5. ]egje nh ted hnbbnwgom st`tdldots gs GOJNYYDJ[>

(@) Dvdry oulidr gs ` h`jtnr nh gtsdbh.

(I) Oulidr nh h`jtnrs nh ` mgvdo oulidr `rd ogtd.

(J) Dvdry lubtgpbd nh ` oulidr gs bdss teò nr dqu`b tn te`t oulidr.

(K) ; òk 04 `rd jn-prgld oulidrs.

:7. [ed oulidr nh dkmds go ted mgvdo murd gs ^^^^^^.

(@) 5 (I) 7

(J) 01 (K) 09

;1. Go ted mgvdo murd, ok ted v`bud nh∡ INJ

.

J

@

D

N

H

I

K

;1± : 0 ±

(@) 010±(I) 0;7±(J) =0±(K) 0;1±


;0. @lò's lnt edr w`s 90 yd`rs nbk wedo egs s gstdr w`s inro. Egs h`tedr gs 5 yd`rs nbkdr teò egs

lntedr. Onw @lò gs 0= yd`rs nbk òk egs sgstdr gs : yd`rs nbkdr teò egl. ]e`t gs ted prdsdot

`md nh @lò's h`tedr>

(@) 41 yd`rs (I) ;= yd`rs (J) ;8 yd`rs (K) ;7 yd`rs

;9. G w`s sgttg om `bnod go ` p`rf. @htdr ` wegbd tedrd j`ld ò nbk lò hnb bnwdk iy ò nbk b `ky. [edy

wdrd hnbbnwdk iy twn jnupbds wen wdrd `jjnlpògdk iy ` jegbk d`je. ]e`t w`s ted oulidr nh

tnt`b pdrsnos prdsdot go ted p`rf>

(@) 01 (I) 7 (J) 00 (K) 5

;:. Go enw lòy p`rts jò ` rnk nh bdomte 07.4 l id irnfdo gotn dqu`b bdomtes nh 84 jl>

(@) 91 (I) :1 (J) : (K) 0:1





5 4te GLN - 9100

;;. [erdd idbbs tn bb `t got drv`bs nh :8 sdjnoks, ;1 sdjnoks òk ;5 sdjnoks rdspdjtgv dby. [edy st `rt

rgomgom tnmdtedr `t ` p`rtgjub`r tgld. [edy odxt tnbb tnmdtedr `htdr ^^^^^^^. (@) 8 lgoutds (I) 09 lgoutds (J) 05 lgoutds (K) 9; lgoutds

;4. Lneò e`s jdrt`go lnuot go egs `jjnu ot. Ed mgvds e`bh nh tegs tn egs dbkdst sno òk nod tegr k nh

ted rdl`gogom tn egs ynuomdst sno. [ed `lnuot bdht wgte egl onw gs ^^^^^^.

(@) 0/: nh ted nrgmgo`b (I) 9/: nh ted nrgmgo`b (J) :/; nh ted nrgmgo`b (K) 0/8 nh ted nrgmgo`b;8. [edrd `rd 5 l`ribds go ` inx wg te ouli drs 0 tn 5 l`rfdk no tedl. ]e`t gs ted prniìgbg ty nh

kr`wgom ` l`ribd wgte oulidr 9>

(@)

0

5 (I) 0

8 (J) 0

; (K) 0

4

;=. [ed sdbbgom prgj d nh ` w`tje gs a :911 òk ted prn t pdr jdot gs :: 0

:%. Hgok ted jnst prgjd nh ted

w`tje.

(@) a 911 (I) a 9111 (J) a 9;11 (K) a :111

;5. Gh ted jgrj ulhdrdojd nh ` jgrjb d gs =1; jl, tedo gts `rd` gs ^^^^^^.

(@) ;7:9; l 9 (I) :7;9; l 9 (J) :8=9 jl 9 (K) :7;9; jl 9

;7. ]edo Z`rvdse tr`vdbbdk :: fl ed hnuok te`t9

:rk nh ted dotgrd cnurody w`s stgbb bdht. [ed bdomte nh

ted tnt`b cnurody gs (@) 88 fl (I) 0:9 fl (J) 77 fl (K) 011 fl

41. [wn dqu`b jnot`godrs `rd bbdk wgte ` lgxturd nh lgbf òk w`tdr. [ed jnojdotr`tgno nh lgbf go d`je

nh ted jnot`godrs gs 91% òk 94% rdspdjtgvdby. ]e`t gs ted r`tgn nh w`tdr go inte ted jnot`godrs

rdspdjtgvdby> (@) 04 3 08 (I) 08 3 04 (J) ; 3 4 (K) 4 3 ;





8te

Wd`r 9109

ZD[ @

Jb`ss =




9 8 te GLN - ZD[ @


0. Go ted qudstg no, snld bdttdrs `rd mgvdo wegje `rd oulidrdk 0, 9, :, ; òk 4. Idbnw `rd mgvdo hnur

nptgnos jnot`gogom jnligo`tgnos nh tedsd oulidrs. Hgok te`t jnligo`tgno nh oulidrs sn te`t

bdttdrs `rròmdk `jjnrkgomby hnrl ` ldògomhub wnrk.

@ Y D M Y

0 9 : ; 4 (@) 4, ;, :, 0, 9 (I) 4, 0, ;, :, 9 (J) ;, 4, 0, :, 9 (K) 9, ;, :, 4, 0

9. Go ted mgvdo `rròmdldot, enw lòy suje syl inbs `rd tedrd, d`je nh wegje gs prdjdkdk iy ` bdttdr

wegje gs hrnl ted rst e`bh nh ted Dombgse `bpeìdt òk hnbbnwdk iy ` kgmgt>

7 X A Z 9 M Y @ n : P £ I S = J W K [ ; 5 Q H 8 A $ 4 D E I F k

(@) 9 (I) ; (J) : (K) 0

:. Hgok t ed hgmurd h rn l t ed np tgnos weg je wgbb jno tg oud t ed sd rgds ds t ` ibgsedk iy t edQrnibdl Hgmurds.

Qrnibdl Hgmurds

>

(@) (I) (J) (K)

;. Gh S < 49 òk @J[ < ;5 tedo I@[ < > (@) :7 (I) ;0 (J) ;; (K) ;8

4. [ed mgvdo qudstgno jnosgsts murds (g), (gg), (ggg) òk (gv). [edrd gs ` kd ogtd rdb`tgnosegp idtwddo

murds (g) òk (gg). Dstìbgse ` sglgb`r rdb`tgnosegp idtwddo murds (ggg) òk (gv) iy sdbdjtgom `

sugtìbd murd hrnl ted nptgnos te`t wnubk rdpb`jd (>) go murd (gv).

+ +

(g) (gg) (ggg) (gv) +

>

(@) +

(I) Ý (J) Ý

(K) Ý

8. Q st`rtdk hrnl egs enusd tnw`rks ]dst. @htdr w`bfgom ` kgstòjd nh 94 l, ed turodk tn ted rgmet

òk w`bfdk 01 l. Ed tedo `m`go turodk tn ted rgmet òk w`bfdk 04 l. @htdr tegs ed e`s tn turo

tn egs rgmet `t 0:4± òk tn jnvdr :1 l. Go wegje kgrdjtgno senubk ed mn >

(@) ]dst (I) Znute (J) Znute-]dst (K) Znute-D`st

=. Hgok ted wrnom tdrl go ted sdrgds mgvdo idbnw.

;;1, ;91, :77, :=5, :4; (@) ;91 (I) :=5 (J) :4; (K) :77




:8 te GLN - ZD[ @5. Hgok nut hrnl ted nptgnos wegje gs ted lgrrnr-gl`md nh ted mgvdo jnligo`tgno gh lgrrnr gs pb`jdk

`bnom LY.

(@) (I)

(J) (K)

7. Ynegt d`ros lnrd teò H`reò iut ont `s luje `s C`y. Frgs e d`ros bdss teò C`y iut ont `s bgttb d`s H`reò. Lnegt d`ros lnrd teò H`reò iut ont `s luje `s Ynegt. Gh tedy `rd `rròmdk `jjnrkgomtn tedgr d`rogoms, wen wgbb id go ted lgkkbd>

(@) Frgse (I) Ynegt (J) Lnegt (K) K`t` go`kdqu`td

01. Hgok ted murd hrnl ted nptgnos gh pb`jdk go pb`jd nh qudstgno l`rf, wegje wgbb jnlpbdtd ted

murd(U).

(@) (I)

(J) (K)

00. C, F, B, L, O, N òk Q `rd sdvdo fgks pb`ygom go ted m`rkdo. [edy `rd wd`rgom jbnteds nh jnbnurs- ib`jf, ibud, wegtd, mrddo, pgof, ydbbnw òk irnwo. Nut nh ted sdvdo fgks, terdd `rd mgrbs. On mgrbgs wd`rgom dgtedr ib`jf, ydbbnw nr irnwo. L 's sgstdr N gs wd`rgom pgof, wegbd ed gs wd`rgom irnwo.C gs wd`rgom ibud, wegbd egs sgstdrF gs ont wd`rgom mrddo. O gs wd`rgom ydbbnw, wegbd egs idst hrgdokQ gs ` iny. ]e`t jnbnur gs F wd`rgom >

(@) Mrddo (I) Qgof (J) Irnwo (K) ]egtd

09. Zdbdjt ` murd hrnl ted nptgnos wegje jnot`gos Hgm.(U) `s gts p`rt.

(@)

(I)

Hgm.(U) (J) (K)

0:. Gh go ted hnbbnwg om mrnup s nh oulidrs `htdr `kkgom `bb ted kgmgts nh d`je mrnup, `rd rròmdk gokdjrd`sgom nrkdr, tedo wegje wgbb id ted lgkkbd mrnup>

54:, :74, ;58, 9;7, ;7=, =88, 70; (@) :74 (I) ;7= (J) ;58 (K) =88

0;. [edrd gs ` Qrnibdl Hgmurd e`vgom twn p`rt s G òk GG. [ed Qrnibdl Hgmurd e`s snld je`r`jtdrgs tgjs .Zdbdjt ted murd hrnl ted nptgnos wegje e`s ted s`ld jnllno`bgty.

(@)G GG

(I)

(J)G GG

(K)G GG




; 8 te GLN - ZD[ @

04. Go ted `kcngogom murd tedrd gs nod l`trgx hnbbnwdk iy hnur @oswdr Hgmurds. Go

ted l`trgx tedrd `rd dgmet kdsgmos òk nod sp`jd bdht ibòf senwo iy qudstgno

l`rf. ]egje òswdr murd wgbb rdpb`jd ted qudstgno l`rf>

(@) (I) >

(J) (K)

08. GhQ ldòs ý , Y ldòs +, [ ldòs ‚ òk ] ldòs Ý, tedo we`t gs ted v`bud nh mgvdo st`tdldot>

9; Y 08 Q 5 ] 8 [ 7

(@) 040

: (I) 90 (J) 0;= (K) 9=

0=. Go tegs qudstgno, tedrd `rd hnur murds `s mgvdo go nptgnos (@), (I), (J) òk (K). Nut nh tedsd hnurmurds, terdd `rd sglgb`r go ` jdrt`go w`y. Enwdvdr, nod murd gs ont bgfd ted ntedr terdd. Jennsd tedmurd wegje gs kghhdrdot hrnl ted rdst.

(@) (I) (J) (K)

05. Go ted mgvdo murd, wegje oulidr wgbb rdpb`jd ted qudstgno l`rf>

(@) ;4 :

04

9=

8

:0

48

7

>

50

(I) ;0

(J) :9

(K) ;1

07. Gh ―seddt‗ gs j`bbdk ―pgbbnw‗, ―pgbbnw‗ gs j`bbdk ―qugbt‗, ―qugbt‗ gs j`bbdk ―lnsqugtn odt‗, ―lnsqugtj`bbdk 'sj`rh' òk ―sj`rh‗ gs j`bbdk ―s`rdd‗, tedo wegje gs usdk noby go wgotdrs>

(@) Pugbt (I) Qgbbnw (J) Lnsqugtn odt (K) Zj`rh

91. [ed mgvdo ter dd dbdldots `rd rdb`tdk go snl d w`y. Hgok ted kg`mr`l go w egj e tedsd ter dddbdldots t.

Ngb, ]gjf, B`lp

(@) (I) (J) (K)


90. Zglpbgh y 3 V(:0 ‚ 07) Ý {4 ‚ (4 + 9 ‚ :)} nh : + (‚ 9)\ Ý (‚0)

(@) 9; (I) ‚ :; (J) ‚ 4; (K) 09

99. Go ted mgvdo murd, UWS gs ò dqugb`tdr`b trgòmbd òk USP gs ò gsnsjdbdstrgòmbd. Hgok∡PSN.

(@) :1±

U

W S

P

:1±N (I) 81±(J) ;4±(K) 41±




48 te GLN - ZD[ @

9:. [ed mgvdo snbgk (ont kr`wo tn sj`bd) gs ` rdmub`r trgòmub`rpyr`lgk. [ed odt nh ted pyr`lgk gs wrnomby kr`wo wgte 0 dxtr`

h`jd. ]egje nh ted hnbbnwgom h`jds ( Q, P, Y nr Z) gs ON[ ` p`rtnh ted odt >

(@) Q (I) P

(J) Y (K) Z

9;. Gh7

4 nh ` oulidr gs ;4, we`t gs

0

4 nh ted s`ld oulidr>

(@) 4 (I) 94 (J) :1 (K) 50

94. Hgok ted `rd` nh p`r`bbdbnmr`l QPYZ , ghQY < 9; jl òk PT < Z[ < 8 jl.

(@) =9 jl 9

Q P

Y Z

8 jl 9 ;

j l[

T (I) 011 jl 9

(J) 041 jl 9

(K) 0;; jl 9

98. Cneo gs o yd`rs nbkdr teò egs sgstdr. Egs sgstdr's `md gs 09. ]e`t gs tedgr tnt`b `md `htdr ; yd`rs > (@) 95 o yd`rs (I) 9; o yd`rs (J) (:9 + o ) yd`rs (K) (95 + o ) yd`rs

9=. Go ted mgvdo murd, @I òk JK `rd str`gmet bgods. Hgok ∡ y.

(@) 7=±

@

I

J

K

;5±

: 4 ±

y ;1± (I) 9=±

(J) ==±

(K) 44±

95. [ed kdsjdokgom nrk dr nh ted mgvdo hr`jtgnos g s ^^^^^^^. ;/:, ;/=, =/01 (@) =/01 ? ;/= ? ;/: (I) ;/= ? ;/: ? =/01

(J) ;/: ? =/01 ? ;/= (K) ;/: ? ;/= ? =/01

97. Hgok ted jgrjulh drdojd nh ted jgrjb d te`t gs wgte go ` squ`rd gh ted `rd`

nh ted squ`rd gs 50 jl 9. [`fd < 99

=ρ

(@) =9

=jl (I) 0;

9

=jl

(J) 959

=jl (K) 8:

7

0;jl

:1. Go ted mgvdo murd, ok ∡x .

(@) 091±

x

45±

:8±

@

D

IH M J

(I) 001±

(J) 004±

(K) 094±




8 8 te GLN - ZD[ @

:0. Hgok ted v`bud nh x .:557 + 09.749 ‚ x < :54;.119

(@) ;=.174 (I) ;=.=49 (J) ;=.7:9 (K) ;=.74

:9. [ed bdomte nh ` rdjtòmub`r p`gotgom w gte inr kdr gs 9;.4 jl òkgts wgkte gs 09 jl. [ed wgkte nh ted inrkdr gs : jl. Hgok ted `rd`

nh ted p`gotgom. (@) 000 jl 9 (I) 011 jl 9

9;.4 jl

09 jl: jl

: jl

: jl

: jl (J) 0:: jl 9 (K) 97; jl 9

::. Dxprdss 94 sdjnoks `s ` hr`jtgno nh 0 enur.

(@)

4

09 (I)

0

; (J)

0

0;; (K)

0

9;

:;. Gh0

9 nh ` oulidr gs 088, tedo we`t gs :1% nh ted oulidr>

(@) 77.8 (I) 5: (J) 8;.4 (K) ;7.5 :4. Go ted mgvdo murd, @I || KD. Hgok ` . (@) 8=±

@

I

J

K

D

8=±

;1±

` (I) 00:±

(J) ;1±

(K) 0;1±

KGYDJ[GNO (:8 & :=) 3 [ed mgvdo i`r mr`pe senws ted pdrjdot`md kgstrgiutgno nh tnt`b dxpdokgturds nh

` jnlpòy uokdr v`rgnus dxpdosds ed`ks kurgom 9100.

G o h r ` s t r u j t u r d

[ r ` o s p n r t

@ k v d r t g s d l

d o t

[ ` x d s

Y d s d ` r j e

` o k

K d v d b n p l

d o t Z ` b ` r y

G o t d r d s t n o

B n ` o s1

4

01

04

91

9491

09.4

04

01

4

910=.4

Q d r j d o t

:8. [ed tnt`b `lnuot nh dxpdokgturds nh ted jnlpòy gs enw lòy tglds ted dxpdokgturd no rdsd`rje

òk kdvdbnpldot>

(@) 9= (I) 91 (J) 05 (K) 5

:=. Gh ted got drdst no bnòs `lnuot dk tn a 9.;4 jrnrds, tedo ted tnt`b `lnuot nh dxpdokgturd no

`kvdrtgsdldot, t`xds & rdsd`rje òk kdvdbnpldot gs ^^^^^^^.

(@) a = jrnrds (I) a 4.; jrnrds (J) a ;.9 jrnrds (K) a : jrnrds




=8 te GLN - ZD[ @

:5. @ senpfddpdr inumet 9; je`grs `t ted r`td nh a ;41 pdr je`gr. Ed snbk 08 nh tedl `t ted r`td nha 811 pdr je`gr òk ted rdl`gogom `t ted r`td nh a ;11 pdr je`gr. Hgok egs m`go nr bnss pdrjdot.

(@) 050;

9=% (I) 91

:

;% (J) :0

4

7% (K) 0;

5

7%

:7. Kgpòseu go vdstdk ` sul nh lnody hn r ` pdrgnk hrnl L`y 9118 tn L`y 9115 t t ed r`td nh 09%

pdr òoul. Gh ted gotdrdst rdjdgvdk iy egl gs a 0891, tedo ok ted sul. (@) a 4111 (I) a 8411 (J) a 8111 (K) a 8=41

;1. ]egje nh ted hnbbnw gom st`tdldots gs JNYYDJ[ >

(@) @bb squ`rds `rd jnomrudot. (I) @bb rgmet òmbds `rd jnomrudot.

(J) [wn nitusd òmbds `rd `bw`ys jnomrudot. (K) Onod nh tedsd


;0. @ c`r gs:

4 hubb nh nròmd cugjd. [egs `lnuot gs dqu`b tn 8 hubb mb`ssds. ]edo 0 hubb mb`ss gs kruof,

we`t hr`jtgno nh ted c`r gs stgbb bdht wgte nròmd cugjd>

(@) 0

01 (I)

0

8 (J)

9

4 (K)

0

9

;9. Lnogf` lgxdk nròmd syrup òk w`tdr go ted r`tgn ; 3 7. Enw lòy bgtrds nh nr` omd syrup wdrdrdqugrdk tn lgx wgte :9; B nh w`tdr>

(@) :8 B (I) 0;; B (J) 08= B (K) 075 B

;:. [ed jnst n h ` i`m w`s 44% ted jnst nh ` sfgr t. Gh Lgtgf` gotdokdk tn iuy int e ted i`m òk tedsfgrt, tedo enw luje lnody lust sed e`vd, gh ted sfgrt jnsts a :0.41 lnrd teò ted i`m >

(@) a :5.41 (I) a =1 (J) a 015.41 (K) a 091.44

;;. C`slgod òk Znog` e`k 81 penodj`rks. C`slgod e`k tergj d `s lòy peno dj`rks `s Znog`. Enwlòy penodj`rks kgk C`slgod e`vd>

(@) 04 (I) 91 (J) :1 (K) ;4

;4. @ ius tr`vdbbdk 05 fl go 91 lgoutds. Enw h`r jnubk gt tr`vdb go 0 er 91 lgoutds>

(@) =9 fl (I) 005 fl (J) :81 fl (K) 015 fl

;8. [ed sgkd nh ` squ`rd pbnt gs 51 l. @ p`te nh ; l wgkte `bnom ted sgkds nh t ed squ`rd rd jnostr ujtdk

go ted lgkkbd nh ted pbnt. Kdtdrlgod ted `rd` nh ted p`te.

(@) 0908 l 9 (I) 0911 l 9 (J) 0:81 l 9 (K) 89; l 9

;=. @ lgbflò sdbbs ;9 bgtr ds nh lgbf `t a 07.=4 pdr bgtrd tn ` enstdb. Enw luje lnody senubk ed mdthrnl ted enstdb>

(@) a 0579 (I) a 597.41 (J) a 084.54 (K) a 099.41

;5. Iy sdbbgom ò `rtgj bd hnr a 881, Qr`kddp bnsds a 81. @t we`t prgjd lust ed sdbb ted `rtgjbd tnm`go 04%>

(@) a =95 (I) a 895 (J) a 595 (K) a 795




5 8 te GLN - ZD[ @

;7. [edrd `rd twn iu gbkg oms st òkgom no te d nppnsgtd sgkds nh ` p`rf. @ b`kkdr, 0= l bnom, rd`jeds` pngot no ` iugbkgom `t ` edgmet nh 04 l hrnl ted mrnuok. [ed b`kkdr gs onw turodk tn ted ntedriugbkgom no ted ntedr sgkd nh ted p`rf fddpgom gts hnnt `t ted s`ld pngot. [ed b`kkdr onw rd`jeds` pngot no tegs iugbkgom `t ` edgmet nh 5 l ìnvd ted mrnuok. Hgok ted kgstòjd idtwddo ted twniugbkgoms.

(@) :9 l (I) 05 l (J) 94 l (K) 9: l

41. @ pb`jd Q gs 59 l ìnvd ted sd`-bdvdb òk òntedr pb`jd gs 0: l idbnw ted sd`-bdvdb. ]e`t gs tedkgstòjd idtwddo ted twn pb`jds>

(@) 74 l (I) 87 l (J) ‚74 l (K) ‚ 87 l





8te

Wd`r 9109

ZD[ I

Jb`ss =




9 8 te GLN - Zdt I


0. Gh 'r`t' gs j`bbdk 'knm', 'knm' gs j`bbdk 'bgno ', 'bgno ' gs j`bbdk 'wnbh ', 'wnbh ' gs j`bbdk 'so`fd' òk 'so`fd'

gs j`bbdk 'dbdpeòt', we`t wgbb id 'knm' j`bbdk> (@) Y`t (I) Knm (J) ]nbh (K) Bgno

9. Lnegt ròfdk 09 te go ` jb`ss nh :: stukdots hrnl ted tnp. ]e`t gs egs ròf hrnl ted inttnl> (@) 99 ok (I) 90 st (J) 9: rk (K) 04 te

:. ]egje nh ted hnbbnwgom knds ont t go ted bdttdr oulidr sdrgds mgvdo idbnw>

M=L C01Z L91Q B09] (@) C01Z (I) M=L (J) L91Q (K) B09]

;. Go wegje nh ted hnbbnwgom murds, Hgm. (U) gs dlidkkdk `s gts p`rt>

Hgm. (U)

(@) (I) (J) (K)

4. Zdbdjt ` murd hrnl `lnomst ted nptgnos wegje wgbb jnotgoud ted sdrgds dstìbgsedk iy ted mgvdo

prnibdl murds.

(@) (I) (J) (K)

8. Yneò gs t`bbdr teò F`rtgf wen gs senrtdr teò Zuseòt. O`lò gs t`bbdr teò @rse iut senrtdr teò

F`rtgf. Zuseòt gs senrtdr teò Yneò. ]en gs t`bbdst> (@) Yneò (I) Zuseòt (J) @rse (K) O`lò

=. ]egje nh ted hnbbnwgom gs ted jnrrdjt lgrrnr gl`md nh ted mgvdo Hgm. (U), gh lgrrnr gs pb`jdk vdrtgj`bby

bdht>

Hgm. (U)

(@) (I) (J) (K)

5. Enw lòy rdjtòmbds `rd tedrd go ted mgvdo murd>

(@) 0: (I) 0; (J) 04 (K) Onod nh tedsd




:8 te GLN - Zdt I

7. Gh 'ý ' ldòs '‚', '‚' ldòs 'Ý', 'Ý' ldòs '+' òk '+' ldòs ' ý ', tedo =9 + 7 Ý ;4 ‚ 4 ý ;9 ‚ 8 <

(@) ‚07 (I) 1 (J) 90 (K) ‚4

01. Hgok ted lgssgom oulidr go ted murd, gh ted mgvdo l`trgx hnbbnws ` jdrt`go

rubd rnw-wgsd nr jnbulo-wgsd. (@) 4 (I) ;

>

90

0

91

0

99

9

9:

9

;1

4

;:

(J) : (K) 9

00. [wn pnsg tgnos n h ` kgjd e`s iddo senwo edrd. ]e`t kgmgt wg bb id cust nppn sgtd nh 4>

(@) ; (I) 9 (J) 8 (K) 0

09. ]egje nh ted hnbbnwgom `bpeìdts gs jnllno tn `bb mdnldtrgj`b murds>

Q P

Y

Z [ D

H

E K

B

(@) Q (I) P (J) B (K) H

0:. Go ` jnk d bòmu`md gh JYNJNKGBD gs jnkdk `s NYJKNJDBG, enw wgbb DBDQE@O[Z id jnkdk go ted

s`ld bòmu`md > (@) QE@[ODBDZ (I) DBD[@EQZO (J) D[DQ@OE[Z (K) DBD@EQZ[O

0;. Hgmurds (g) & (gg) nh ted Qrnibdl Hgmurds id`rs ` jdrt`go rdb`tgnosegp. Zdbdjt ` murd (gv) hrnl ted

nptgnos wegje id`rs ted s`ld rdb`tgnosegp wgte murd (ggg).

(@) (I) (J) (K)

04. Xgf`s w`bfdk 01 ldtrds tnw `rks Onrte, tnnf ` bdht tur o òk w`bfdk 04 ldtrds6 òk `m`go tnnf `bdht turo òk w`bfdk 01 ldtrds òk stnppdk w`bfgom. Enw h`r òk go wegje kgrdjtgno gs ed onw

hrnl ted st`rtgom pngot> (@) 04 l D`st (I) 04 l ]dst (J) 4 l Znute (K) 01 l Onrte

08. Hgok ted murd hrnl ted nptgnos wegje jnlpbdtds ted Hgm. (U).

Hgm. (U)

>

(@) (I)

(J) (K)




; 8 te GLN - Zdt I

0=. Qngotgom tnw`rks ` pdrsno go ` pentnmr`pe, @`sef` s`gk, "Ed gs ted noby sno nh ted h`tedr nh ly

sgstdr's irntedr." Enw gs te`t pdrsno rdb`tdk tn @`sef`>

(@) H`tedr (I) Jnusgo (J) L`tdro`b Tojbd (K) Irntedr

05. Q, P, Y, Z, [, X òk ] rd sgt tgo m `rnuok ` jgrj bd h`jgo m ted jdot rd. Y gs t egr k tn t ed rgme t nh X,

wen gs sdjnok tn ted rgmet nh Q. [ gs sdjnok tn ted bdht nh P, wen gs sdjnok tn ted bdht nh ]. X gs

sgttgom idtwddo Z òk ]. ]en gs no ted glldkg`td bdht nh Y> (@) P (I) [ (J) Q (K) K`t` go`kdqu`td

07. Ztuky ted hnbbnwgom `rròmdldot nh kgmgts, bdttdrs òk sylinbs òk òswdr ted qudstgno mgvdo

idbnw 3

H G ; F I 4 7 # K Y 9 # = L M % E X [ : 5 * 0 C @

Enw lòy suje sylinbs `rd tedrd go ted ìnvd `rròmdldot d`je nh wegje gs inte glldkg`tdby

prdjdkdk òk glldkg`tdby hnbbnwdk iy ` kgmgt>

(@) Onod (I) Nod (J) [wn (K) [erdd

91. Hgok ted odxt tdrl go ted mgvdo sdrgds idbnw.;, 8, 09, 0;, 95, :1, ^^^ >^^

(@) :9 (I) 81 (J) 89 (K) 8;


90. Keruv d`rodk snld lnody. Ed spdot0

: nh ted lnody no l`m`zgods òk

0

; nh ted lnody no `

so`jf. ]egje nh ted hnbbnwgom hr`jtgnos rdprdsdots ted p`rt nh lnody ed kgk ont spdok >

(@) 4

09 (I)

0

9 (J)

9

: (K)

4

=

99. [ed stukdots go sdvdote-mr`kd e`k ` kòjd p`rty. [edy spdot a 411 hnr ` bnj`b iòk. [ed dqu`tgno

idbnw jò id usdk tn ok ted tnt`b prn t y, gh ted stukdots snbk x tgjfdts tn ted kòjd p`rty.

y < ; x ‚ 411

]e`t knds ted oulidr ; rdprdsdot go ted dqu`tgno>

(@) [ed prgjd pdr tgjfdt (I) [ed jnst nh ted iòk

(J) [ed oulidr nh tgjfdts snbk (K) [ed prn t l`kd hrnl sdbbgom x tgjfdts

9:. ]e`t pdrjdot`md nh ted h`jds `rd slgb gom>

(@) ;0.4 (I) 4=.4 (J) 89.4 (K) ;9.4

9;. Znbvd hnr x 3

04( x ‚ 7) ‚ 9 (x ‚ 09) + 4 (x + 8) < 1

(@) 0 (I) 7

9 (J) · 4

5 (K) 09




48 te GLN - Zdt I

94. Go ted murd (ont kr`wo tn sj`bd), @JK gs ` rgmet-òmbdk trgòmbd, @IJ gs ò gsnsjdbds trgòmbd wgte

@I < @J, @JM, D@I òk H@K `rd str`gmet bgods. Hgok ted v`bud nh x òk y rdspdjtgvdby.

(@) =1±, 54± (I) 51±, =4± (J) =1±, 51± (K) =4±, 54±

98. [edrd rd 4; mrddo `ppbds òk :1 lnrd rdk teò mrddo `ppbds go ` jno t`godr. ]e`t gs ted r`tgn nh

ted oulidr nh rdk `ppbds tn ted tnt`b oulidr nh `ppbds> (@) 4 3 7 (I) 4 3 0; (J) 0; 3 9: (K) 9: 3 0;

KGYDJ[GNO (9=-95) 3 [ed mgvdo mr`pe senws ted oulidr nh innfs snbk iy Ldme`'s innf stnrd go ted

rst 5 wddfs nh ted yd`r.

9=. ]e`t w`s ted `vdr`md oulidr nh innfs snbk go 5 wddfs>

(@) ;5=4 (I) ;:=4 (J) 4579 (K) 97;4

95. ]e`t gs ted ròmd nh ted mgvdo k`t`> (@) 9111 (I) 0111 (J) 0411 (K) 9411

97. [wn murds `rd jnomrudot, gh tedy e`vd ted s`ld ^^^^^ . (@) Ze`pd (I) Zgzd (J) Inte (@) òk (I) (K) Onod nh tedsd

:1. Enw lòy h`jds knds ted mgvdo snbgk e`vd>(@) 5(I) 01(J) 09(K) 0;

:0. [ed rdjtòmbd gs l`kd nh 09 gkdotgj`b squ`rds. Gt gs kgvgkdk gotn ; p`rts. ]egje nh ted hnbbnwgom

9 p`rts wgbb id rdlnvdk tn hnrl:

09 nh ted rdjtòmbd>

(@) B òk O (I) L òk N (J) B òk L (K) L òk O




8 8 te GLN - Zdt I

:9. ]egje rubd rdprdsdots ted rdb`tgno senwo go ted tìbd > x 9

:

;

4

8

y

0

:

4

=

7

(@) y < x ‚ 0

(I) y < x + :

(J) y < 9 x ‚ :

(K) y < 9 x + :

::. Hgok ted `rd` nh ted mgvdo murd (ont kr`wo tn sj`bd).

(@) 911 jl 9 (I) 7; jl 9 (J) 5; jl 9 (K) 011 jl 9

:;. Hgok ted v`bud nh ted mgvdo dxprdssgno.

(‚:4) ‚ (‚04) + 5 ‚ 7 ‚ (‚049) ‚ 94 + (‚5)

(@) ‚=5 (I) :9 (J) ‚44 (K) 75

:4. Gh x

y<

:

;, tedo ted v`bud nh

8

=+

y x

y + x

·

dqu`bs ^^^^^.

(@) 4

= (I) 0

0

= (J) 0 (K) 9

:8. [ed kg`ldtdr nh ` sjnntdr weddb gs 48 jl. Enw luje kgstòjd wgbb gt jnvdr go 01 rdvnbutgnos>

(@) 0881 jl (I) 05=4 jl (J) 0481 jl (K) 0=81 jl

:=. [ed b`rmdst oulidr wegje kgvgkds ==, 0;= òk 949 tn bd`vd ted s ld rdl`gokdr go d`je j`sd,

gs ^^^^^^^.

(@) 7 (I) 04 (J) 94 (K) :4

:5. [ed sgkd nh ` squ`rd pbnt gs 51 l. [wn p`tes nh ; l wgkte `bnom ted sgkds nh ted squ`rd `rd

jnostrujtdk go ted lgkkbd nh ted pbnt. Kdtdrlgod ted `rd` nh ted p`te.

(@) 0:7 l 9 (I) 89; l 9 (J) 98; l 9 (K) 409 l 9

:7. B`tgf` gs 8 l yd`rs nbk. Zed gs tergjd `s nbk `s edr sgstdr. ]e`t wgbb tedgr tnt`b `mds `htdr sgx

yd`rs> (@) 5l + 8 (I) 5 l + 09 (J) 9; l + 8 (K) 9; l + 09

;1. Go ted mgvdo murd b || l òk @I < IJ , ok ted v`bud nh y .

(@) ;4± (I) ;5± (J) 91± (K) :1±




=8 te GLN - Zdt I


;0. Gsegf` òk edr mròkh`tedr inte e`k igrtek`ys b`st wddf. [ed sul nh tedgr `mds gs 011 yd`rs. Edr

mròkh`tedr's `md gs ; tglds Gsegf`'s `md. Enw nbk gs Gsegf` > (@) 08 yd`rs (I) 91 yd`rs (J) 99 yd`rs (K) 94 yd`rs

;9. [ed r`tgn nh inys tn mgrbs go ` jbui gs = 3 ;. [edrd `rd 90 hdwdr mgrbs teò inys. ]e`t gs ted tnt`b

oulidr nh jegbkrdo go ted jbui> (@) ;7 (I) == (J) 5; (K) 9:0

;:. Cdooy usds :8 id`ks tn l`fd ; ir`jdbdts. Enw lòy nh ted s`ld typd nh ir`jdbdts jò Cdooy

l`fd wgte 051 id`ks > (@) 91 (I) 9= (J) ;:9 (K) 7=9

;;. Zgx idbbs jnlldojd tnbbgom tnmdtedr òk tnbb `t gotdrv`bs nh 9, ;, 8, 5, 01 òk 09 sdjnoks rdspdjtgvdby.

Go :1 lgoutds, enw lòy tglds kn tedy tnbb tnmdtedr> (@) ; (I) 01 (J) 04 (K) 08

;4. 0 bgtrd nh w`tdr wdgmes 0 fm. Enw lòy juigj lgbbgldtrds nh w`tdr wgbb wdgme 1.0 m> (@) 1.0 (I) 0 (J) 01 (K) 011

;8. D`je nh twn mrnups nh tn urgs ts e`s 81 pdnpbd. Gh :;

nh ted rst mrnup òk 9:

nh ted sdjnok mrnup

in`rk iusds tn tr`vdb tn ` lusdul, enw lòy lnrd pdnpbd nh ted rst mrnup in`rk iusds teò

nh ted sdjnok mrnup > (@) 9 (I) ; (J) 4 (K) ;1

;=. [ed tdlpdr`turd nh ` jgty `t 0 p.l. w`s 04±J. Dvdry enur gt kdjrd`sds iy :±J. [ed tdlpdr`turd `t

8 p.l. w`s ^^^^^.

(@) :±J (I) 1±J (J) ‚:±J (K) ‚8±J

;5. @ lò sdbbs ` j r tn egs hrgdok `t 01% bnss. Gh ted hrgdok sdbbs gt hnr a 4;111 òk m`gos 91%, ted

nrgmgo`b J.Q. nh ted j`r w`s ^^^^^. (@) a 94111 (I) a :=411 (J) a 41111 (K) a 81111

;7. [ed tnt`b jns t nh : tìbds òk 9 je`grs gs a =;4. Gh nod tìbd jnsts a ;1 lnrd teò nod je`gr, ok

ted prgjd nh d`je tìbd òk je`gr rdspdjtgvdby. (@) a 081, a 091 (I) a 084, a 094 (J) a 911, a 081 (K) a 091, a 51

41. Dqu`b suls nh a =911 wdrd bdot tn Ldme` òk Qrgy` `t 4% pdr òoul hnr ` pdrgnk nh ; yd`rs òk

4 yd`rs rdspdjtgvdby. Hgok ted kghhdrdojd nh ted gotdrdst p`gk iy Ldme` òk Qrgy`. (@) a 0;1 (I) a 481 (J) a 981 (K) a :81





=te

Wd`r 910:

ZD[ @

Jb`ss =




9 = te GLN - Zdt @

0. Qrgy` rdldlidrs te`t sed s`w edr l`tdro`b ùot noHrgk`y `htdr 9:rk nh ` lnote. Gh 8te nh te`t lnote h`bbno Zuok`y, tedo no we`t k`y nh ted wddf kgk sedlddt>

@. 9;te

I. 94 te

J. 9= te K. 97te

9. Iddo`, wen gs M`rgl`'s kùmetdr, s`ys tn B`tgf`,'ynur lntedr @`sef` gs ted ynuomdr sgstdr nh lylntedr, wen gs ted tegrk jegbk nh Y`cddv'. Enw gsY`cddv rdb`tdk tn B`tgf`>

@. IrntedrI. Tojbd

J. L`tdro`b mròkh`tedrK. H`tedr

:. ]egje nh ted hnbbnwgom nptgnos e`s ted s`ld rdb`tgnosegp`s te`t nh LC 3 PO >

@. QF 3 OQI. YB 3 NQ

J. IY 3 HXK. DH 3 GL

;. Enw lòy suje p`grs nh bdttdrs `rd tedrd go ted wnrk'KGZ[TYI@OJD' wegje e`vd s lòy bdttdrs idtwddo

tedl `s tedrd `rd go Dombgse `bpeìdts > @. 8

I. 4 J. 5

K. =

4. Lnegt, Ogtgo ok Y`c pb`y jrgjfdt, enjfdy ok hnnti`bb.Lnegt, Ogtgo òk [`ruo pb`y jrgjfdt, hnnti`bb òkvnbbdyi`bb. Lnegt, Y`c, Zulgt ok Ogtgo pb`y jrgjfdt okenjfdy. ]egje m`ld gs pb`ydk iy `bb ted inys>

@. EnjfdyI. Jrgjfdt

J. Hnnti`bbK. Xnbbdyi`bb

8. ]egje nh ted hnbbnwgom gs ted lgrrnr gl`md nh ted mgvdownrk, gh ted lgrrnr gs pb`jdk vdrtgj`bby tn ted bdht>

9 Y D @ Z N O G O M =

@.I.J.K.

=. [ed nppnsgtd h`jds nh ` juid `rd `s senwo 3

]egje nh ted hnbbnwgom nptgnos rdprdsdots ted

uohnbkdk juid>

@. I.

J. K.

5. Enw lòy 4's `rd tedrd go ted mgvdo sdrgds nh wegjegs glldkg`tdby prdjdkdk iy ò dvdo oulidr òkglldkg`tdby hnbbnwdk iy ` vnwdb>

9 4 K ; 0 4 G : I J 8 9 4 @ 8 4 G C 7 : 4 P = H ; : 5 C F @ 8 4 1 ; 4@. 1I. :

J. ;K. 9

7. Gh '+' ldòs 'ý', '‚' ldòs 'Ý', 'ý' ldòs '+' òk 'Ý'ldòs '‚', tedo :91 ý 994 + 04 Ý 04 ‚ 54 < >

@. 051I. 0;1 J. 81

K. ‚7;1

01. Hgok ted lgssgom murd go ted mgvdo murd l`trgx.

@.

I.

J.

K.

BNMGJ@B YD@ZNOGOM




:= te GLN - Zdt @

00. Hgvd hrgdoks @seu, @oky, Lnou, Znou òk Lddfu rdsgttgom no ` idoje h`jgom onrte. @seu gs sgttgom odxttn Lnou, @oky gs sgttgom odxt tn Lddfu, Lddfu gsont sgttgom odxt tn Znou, wen gs sgttgom no bdht dok `tted idoje. @oky gs no ted sdjnok pnsgtgno hrnl tedrgmet, @seu gs sdjnok hrnl ted bdht, go wegje pnsgtgnogs Lnou sgttgom>

@. :rk

I. 9ok

J. 0 st K. 4te

09. Hgok ted murd hrnl ted nptgnos go wegje Hgm. (U) gsdlidkkdk `s nod nh gts p`rt.

@.

I.

J.

K.

0:. Go ` jdrt`go jnkd bòmu`md, ted wnrk 'KGQBNL@' gswrgttdo s 'HDYEPGJ'. Enw wgbb ted wnrk 'HNYDGMO'

id wrgttdo go te`t jnkd> @. EC[@FJQ

I. EF[@BJQ J. EF[@FJQ

K. EF[@FIQ

0;. I gs ted Znute-]dst nh @, J gs tn ted D`st nh I òkZnute-D`st nh @ ok K gs tn ted Onrte nh J go bgod wgteI òk @. Go wegje kgrdjtgno nh @ gs K bnj`tdk>

@. Onrte-]dstI. Znute-]dst

J. Znute-D`stK. Onrte-D`st

04. ]egje nh ted hnbbnwgom Xdoo kg`mr`ls jnrrdjtbykdsjrgids ted rdb`tgnosegp `lnomst

"Xdmdtìbd, Hrugt, Ynttdo" >

@.

I.

J.

K.

08. @rròmd ted hnbbnwgom wnrks go ted `bpeìdtgj`b nrkdr`s `rròmdk go kgjtgno`ry òk jennsd ted wnrk te`t

jnlds b`st. @. Qrnlgodot

I. Qrnegigtgno J. Qrnmr`lld K. Qrnbnom

0=. ]egje nh ted hnbbnwgom nptgnos wgbb jnlpbdtd tedsdrgds>

:, 9, 00, ;, :4, 5, 01=, 08, > @. :90

I. :9: J. :9

K. 09105. ]egje oulidr wgbb rdpb`jd ted qudstgno l`rf,

gh ted l`trgx hnbbnws ` jdrt`go rubd rnw-wgsd nrjnbulo-wgsd >

@. 09I. 0:J. 00K. 01

07. [ed mgvdo qudstgno jnosgsts nh twn sdts nh murd.Hgmurds Q, P, Y òk Z jnosgsts nh ` prnibdl sdt.[edrd gs ` kd ogtd rdb`tgnosegp idtwddo murds Q òkP. Dstìbgse ` sglgb`r rdb`tgnosegp idtwddo Hgmurd Yòk Z iy sdbdjtgom ` sugtìbd murd hrnl ted nptgnoste`t wnubk rdpb`jd (>) go murd Z.

@.

I.

J.

K.




; = te GLN - Zdt @

91. Go ted mgvdo qudstgno ` pgdjd nh seddt gs hnbkdk òkjut òk tedo uohnbkdk. Zdbdjt tegs murd hrnl nptgnowegje dx`jtby rdsdlibds ted uohnbkdk p`pdr.

@.

I.

J.

K.

L@[EDL@[GJ@B YD@ZNOGOM

90. [ed murd gs l`kd up nh : squ`rds. ]e`t gs ted `rd`nh ted se`kdk p`rt nh ted murd> ( murd ont kr`wo tnsj`bd)

@. 41 jl 9

I. 9; jl 9

J. :8 jl 9

K. ;5 jl 9

99. Go ted mgvdo murd,QP || YZ , QZ | | PY òk ∡ YQ[ gs0;

`s luje `s ∡Q[Z . ]e`t gs ted v`bud nh ∡ YQP >

@. 5;±I. 8:±J. ;9±K. 49±

9:. ]egje nh ted hnbbnwgom st`tdldots gs GOJNYYDJ[wgte rdspdjt tn gotdmdrs >@. Gotdmdrs `rd jbnsdk uokdr inte `kkgtgno òk

suitr`jtgno. I. Jnllut`tgvd prnpdrty enbks go `kkgtgno iut ont

go suitr`jtgno. J. @ssnjg`tgvd prnpdrty enbks inte go `kkgtgno òk

suitr`jtgno. K. 1 gs ted `kkgtgvd gkdotgty nh gotdmdrs.

9;. [ed v`bud nh 95 go 49517; gs ted s`ld `s ^^^^^^. @. =111 + 017; I. 517; ‚ 71 J. =17; + 718 K. 9517; ‚ 7;

94. ]egje nh ted hnbbnwgom wgbb l`fd ted dxprdssgnotrud>

=:

98

09

;4

85

:;

;4

85

:;

:;

48

0=

· · + ý + ý +

· +

+ ::

@. ? I. 2 J. < K. Jò't id kdtdrlgodk

98. [ed jgrjulhdrdojd nh ted tyrd nh Y`ke`'s igjyjbd gs9.4 l. Zed tnnf p`rt go ` igjyjbd r`jd nh 0 fl. ]edosed e`k jnvdrdk =11 l, ted tyrd iurst. Gh sed e`k tn

ogse ted r`jd, enw lòy lnrd tglds ted weddb lustmn rnuok>

@. 9;

I. 091 J. 094 K. :1

9=. Lnegt spdoks a = x ‚ ; hnr ` segrt òk a 9 x + 5 hnr ` p`gr nh trnusdrs. Gh ed mgvds ted senpfddpdr ` 0111rupdd ontd, enw luje wgbb ed mdt i`jf >

@. 0109 ‚ 7 x I. 778 ‚ 7 x J. 779 ‚ 5 x K. 778 ‚ = x

95. Hgok ted ldò òk ldkgò rdspdjtgvdby go tegs mrnupnh tdst rdsubts.

81, ;:, ;=, 80, :4, 4:, ;7, :9, 47 @. ;7, ;= I. ;8.5=, ;7 J. ;5.87, ;: K. ;5.==, ;7

97. [ed `vdr`md nh ; oulidrs gs 94. [ed `vdr`md nhted rst : oulidrs gs 99. ]e`t gs ted v`bud nh ted; te oulidr >

@. 9:




4= te GLN - Zdt @

I. :; J. ;; K. ;=

:1. Znbvd hnr x 3 04 ( x ‚ 7) ‚ 9 ( x ‚ 09) + 4 ( x + 8) < 1

@. ‚:

I.09

J. 79 K. ;

:0. Go ted mgvdo murd, @IJ gs ` str`gmet bgod. Hgok y.

@. 41±

I. 51±J. 011± K. 0:1±

:9. Enw lòy uogt juids `rd rdqugrdk tn l`fd gt `juingk>

@. 05 I. :1

J. 95 K. 98

::. Zglpbghy 34 019 8

= 4 : 9 :

4 : 9 9 x y ` x

x y ` y

ÝÝ

·

·( )

( ) ( )

@. 948

; xy

I.94;

9 : x y

J. 7

011

9` xy

K.7

011

;

`

y

x`Ý

KGYDJ[GNO (:;-:4) 3 @ h`gr kgjd e`s h`jds oulidrdk1, 0, =, :, 4 òk 7. Gh gt gs ternwo, ted prniìgbgty nhmdttgom

:;. ` 0 gs ^^^^^^^^^

@.94

I.0

8 J.

09

K. :4

:4. ò nkk oulidr gs @. 0

I.9:

J.48

K.08

DXDYWK@W L@[EDL@[GJZ

:8. Iy sdbbgom ` w`tje hnr a 09=4, C`vdk bnst 04%. @t

we`t prgjd senubk ed sdbb tn l`fd prn t nh 01%>

@. a 0411 I. a 0;59 J. a 0441 K. a 0841

:=. @ iusgodsslò inrrnwdk snld lnody `t 0% pdrlnote. @htdr snld tgld, ed sdttbdk ted kdit iy p`ygoma 0;,=41. Gh ted tnt`b gotdrdst w`sa 9741, ok tedtgld.

@. 9 yd`rs 0 lnote I. : yd`rs

J. 909

yd`rs

K. 0 yd`r 5 lnotes

:5. Hnur pdrsnos stdp nhh tnmdtedr kurgom lnrogom w`bf.[edgr stdps ld`surd 81 jl, 51 jl, =4 jl òk 71 jlrdspdjtgvdby. @t we`t kgstòjd hrnl ted st`rtgom pngotwgbb tedy `m`go stdp nhh tnmdtedr >@. 09 l

I. :8 l J. ; l K. =9 l

:7. Y`cdse e`k ` p`jfdt nh 91 sfdtje pdos. Ed m`vd 09 tnF`rtgf òk 8 tn Lddo`. ]e`t hr`jtgnos nh ted p`jfdtkgk ed mgvd tn F`rtgf òk Lddo` >

@. :01

I. ;4

J.7

01 K. 0

4




8 = te GLN - Zdt @

;1. 91% nh ted stukdots wdrd ìsdot go ò dx`lgo`tgno.04% nh tensd wen `ppd`rdk h`gbdk. Gh :;1 stukdots p`ssdk, we`t w`s ted tnt`b oulidr nh stukdots>

@. 441 I. ;41 J. ;11 K. 411

;0. @ lò gs vd tglds `s nbk `s egs sno. Ed wgbb idterdd tglds `s nbk `s egs sno `htdr 01 yd`rs. Hgok tedgr prdsdot `mds.

@. 01 yd`rs, 41 yd`rs I. 5 yd`rs, ;1 yd`rs J. 09 yd`rs, 81 yd`rs K. 8 yd`rs, :1 yd`rs

;9. @ p`rf :11 l iy 901 l e`s ` p`te 4 l wgkd `bb rnuokgt, ted p`te idgom gosgkd ted p`rf. Hgok ted jnst nhjnostrujtgom ted p`te `t a 011 pdr 01 l 9.@. a 411

I. a 4111 J. a 41111 K. a 411111

;:. [ed ldbtgom pngot nh ldrjury gs ‚:7±J. [ed hrddzgom pngot nh `bjnenb gs ‚75±J. Enw luje lnrd gs tedldbtgom pngot nh ldrjury `s jnlp`rdk tn ted hrddzgom

pngot nh `bjnenb>

@. ‚0:= ±J I. 0:= ±J J. ‚47 ±J K. 47 ±J

;;. Ogod jnuotdrs oulidrdk 0 tn 7 `rd pb`jdk go ` i`m.Nod gs t`fdo nut `t ròknl. [ed prniìgbgty te`t gt

gs kgvgsgibd iy : gs ^^^^^^^.

@. 09

I. 0:

J. 97

K. ;7

;4. Go ` sjennb, 5` 9 + ; ` + 7 stukdots wdrd dornbbdk.

9`9

‚ 7 ` + 9 stukdots wdrd inys. Enw lòy mgrbswdrd dornbbdk>

@. 8 9 ‚ 0: ` + = I. ; ` 9 + 0: ` + = J. 8 ` 9 + 0: ` + = K. ; ` 9 ‚ 0: ` + =

@JEGDXDYZ ZDJ[GNO

KGYDJ[GNO (;8-;=) 3 [ed bgod mr`pe senws ted oulidr nh

stnryinnfs @rl`ò rd`k go ted b`st ; lnotes nh ` yd`r.

;8. [ed r`tgn nh stnryinnfs ed rd`k go Zdptdlidr tn Onvdlidr gs@. 0 3 ;

I. ; 3 0 J. 9 3 4 K. 4 3 9

;=. [ed oulidr nh stnryinnfs te`t ed rd`k go Njtnidr `s` hr`jtgno nh ted tnt`b oulidr nh stnryinnfs rd`k gs

@. 009

I.:

;

J.09

K. 409

;5. ]e`t pdrjdot`md nh ted murd gs se`kdk >

@. 41 % I. 81 % J. =1 %

K. 84 %




== te GLN - Zdt @

;7. Gh ted 9 uogt juids l`rfdk 'U' `rd rdlnvdk hrnl tedsnbgk, wegje snbgk wgbb id nit`godk>

@.

I.

J.

K.

41. Zdbdjt ted GOJNYYDJ[ l`tje. Gtdl Z.Q. ( a ) Qrn t / bnss J.Q. ( a ) @. Qdo 78 91% prn t 51 I. Znh` =111 09¼% bnss 5111 J. ]nnkdo sedbh 8=58 0:% bnss =509 K. [d` sdt 0498 7% m`go 0;11





=te

Wd`r 910:

ZD[ I

Jb`ss =




9 = te GLN - Zdt I

0. [ed pnsgtgnos nh enw lòy bdttdrs go ted wnrk]NOKDYHTB wgbb rdl`go uojeòmdk wedo tedbdttdrs wgtego ted wnrk `rd `rròmdk `bpeìdtgj`bby>

@. Onod

I. Nod J. [wn K. [erdd

9. Zdbdjt ` murd hrnl ted nptgnos wegje wgbb jnotgoudted s`ld sdrgds `s dstìbgsedk iy ted vd prnibdl

murds.

@.

I.

J.

K.

:. Yèub tnbk @oòk, "Wdstdrk`y G kdhd`tdk ted noby irntedr nh ted kùmetdr nh ly mròklntedr." ]enlkgk Yèub kdhd`t>

@. Zno I. H`tedr J. Jnusgo K. Irntedr

;. ]egje gs ted tegrk oulidr tn ted bdht nh ted oulidrwegje gs dx`jtby go ted lgkkbd nh ted hnbbnwgomsdqudojd nh oulidrs>

0 9 : ; 4 8 = 5 7 9 ; 8 5 7 = 4 : 0 7 5 = 8 4 ;: 9 0

@. :I. ;J. 4

K. 8

4. Gh '‚' stòks hnr 'kgvgsgno', '+' hnr 'lubtgpbgj`tgno', ' ý 'hnr 'suitr`jtgno' òk 'Ý' hnr '`kkgtgno', tedo wegje nodnh ted hnbbnwgom dqu`tgnos gs jnrrdjt>

@. ; Ý 4 + 7 ‚ : ý ; < 04I. ; Ý 4 Ý 7 + : ý ; < 00

J. ; ‚ 4 ý 7 Ý : ‚ ; < 0= K. ; ý 4 + 7 ‚ : + ; < 05

8. [edrd gs ` kdhgogtd rdb`tgnosegp idtwddo hgmurds0 ok 9. Dstìbgse sglgb`r rdb`tgnosegp idtwddo murds: òk ; iy sdbdjtgom ` sugtìbd murd hrnl ted mgvdonptgnos, wegje wgbb rdpb`jd ted (>) go murd ;.

@.

I.

J.

K.

=. Zdbdjt ted p`gr hrnl ted mgvdo nptgnos te`t e`s `rdb`tgnosegp sglgb`r tn te`t go ted Hgmurd (U).

G GG

Hgmurd (U)

@.

G GG

I.

G GG

J.

G GG

K.G GG

BNMGJ@B YD@ZNOGOM




:= te GLN - Zdt I

5. Zdbdjt ted jnrrdjt lgrrnr gl`md nh Hgmurd (U).

Hgmurd (U)

`

i

j

k

Y O

@.

`

i

j

k

Y

O

I.

`

i

j

k

Y

O

J.

`

i

j

k

Y

O

K.

`

i

j

k

Y

O

7. Go ò gl`mgo`ry bòmu`md, ted kgmgts 1, 0, 9, :, ;, 4,8, =, 5 òk 7 `rd suistgtutdk iy `, i, j, k, d, h, m, e,g òk c & 01 gs wrgttdo `s i` .

[edo, i`h ý ih Ý k gs dqu`b tn

@. kh I. ji

J. id K. k

01. Zdbdjt ` murd hrnl `lnomst ted nptgno murds, wegjewgbb jnotgoud ted sdrgds dstìbgsedk iy ted hnur prnibdl

murds.

>

@.

I.

J.

K.

00. Go ` jdrt`go jnkd bòmu`md, 9;854 gs wrgttdo `s ::==8.Enw gs :4=70 wrgttdo go te`t jnkd>

@. ;;598 I. ;;559 J. ;8859 K. ;;859

09. ]egje nh ted hnbbnwgom se`pds gs dx`jtby dlidkkdkgo ted Hgmurd (U)>

Hgmurd (U)

@.

I.

J.

K.

0:. Hgok ted lgssgom je`r`jtdr go ted oulidr p`ttdromgvdo idbnw.

08 0

94

50

:80 8; 08

;

7

957 0 50

7

94

>

@. 981I. 987

J. :9; K. ;97

0;. Go ted hnbbnwgom qudstgno, ok nut wegje nh ted nptgnosjnlpbdtds ted murd l`trgx>

Hgmurd (U)

>

@.

I.

J.

K.




; = te GLN - Zdt I

04. [ed mgvdo qudstgno jnosgsts nh ` sdt nh terdd murdssenwgom ` sdqudojd nh hnbkgom nh ` pgdjd nh p`pdr.Hgm. (S) senws ted lòodr go wegje ted hnbkdk p`pdre`s iddo jut. Jennsd ` murd hrnl ted nptgnos wegjewnubk lnst jbnsdby rdsdlibd ted uohnbkdk hnrl nh

p`pdr.

U W S

@.

I.

J.

K.

08. Ztuky ted hnbbnwgom `rròmdldot nh bdttdrs, kgmgts oksylinbs tn òswdr ted qudstgno mgvdo idbnw 3

@ I = J K 7 S ; Q 9 L F Z : 4 O [j `

]egje nh ted hnbbnwgom bdttdrs gs dx`jtby lgkw`y idtwddo ted ; te bdttdr hrnl bdht dok òk 8 te bdttdr hrnlrgmet dok>

@. F I. L J. Q

K. W

0=. Zdbdjt ted murd hrnl ted nptgnos wegje s`tgs dsted s`ld jnokgtgnos nh pb`jdldot nh knts `s goHgmurd (U).

Hgmurd (U)

@.

I.

J.

K.

05. ]egje nh ted hnbbnwgom nptgnos wgbb jnlpbdtd ted p`ttdro go Hgmurd (U)>

@.

I.

J.

K.

07. ]egje nh ted hnbbnwgom st`tdldots gs jnrrdjt wgterdspdjt tn ted mgvdo murd>

HJ

I@K

D

@. @ òk I `rd go `bb ted terdd se`pds. I. D, @, I, J `rd go `bb ted terdd se`pds. J. H, J, K, I, @ `rd go `bb ted terdd se`pds. K. Noby I gs go `bb ted terdd se`pds.

91. Zdbdjt ` murd hrnl `lnomst ted nptgnos wegje wgbbjnotgoud ted s`ld sdrgds `s dstìbgsedk iy ted vd

prnibdl murds.

@.

I.

J.

K.




4= te GLN - Zdt I


90. [ed mgvdo i`r mr`pe senws edgmets nh sdbdjtdk b`fds.Hgok ted kghhdrdojd go dbdv`tgno hnr B`fd D òkB`fd J.

1

‚ 011

011

911

:11

;11

411

811

@ I J K D H M

811

9;4

‚ 79

409

‚ 49

0;;

Hddt invdnr idbnw sd`bdvdb

@. ;91 I. 81;

J. 41; K. 879

99. @rròmd ted hnbbnwgom oulidrs go ted `sjdokgomnrkdr.

0;

8=

:4

401

9=

, , , ,· · ·

@.· · ·401

9=

:4

0;

8=

, , , ,

I.· · ·:4

401

9=

0;

8=

, , , ,

J.0;

8=

401

9=

:4, , , ,

· · ·

K.

· · ·9=

:4

401

0;

8=

, , , ,

9:. Go ted hgmurd, @IJK gs ` rdjtòmb d, K JDH gs òdqugb`tdr`b trgòmbd. Hgok x.

@. 94³ I. :1³ J. 91³ K. 41±

9;. Znbvd hnr x 304

5;

;0

==

9:4

( ) . x x x x

· ++

+·

< ··

@. =I. 5

J. 4 K. 7

94. [ed trgòmbd @IJ òk QPY l`y ont id jnomrudotwedo

@. @I < QP, @J < QY, ∡@ < ∡Q I. @I < QP, @J < QY, IJ < PY J. @I < QP, @J < QY, ∡ I < ∡P K. ∡@ < ∡Q, ∡ I < ∡ P, @I < QP

98. Hgok ted òmbds x òk y rdspdjtgvdby go ted mgvdomurd.

I

@

D

KJ

P

Q Y

[ x

y

:1³ :0³

: 8 ³ : 4

³

Z

@. 88³ òk 5;³I. 81³ òk ;1³

J. 88³ òk ;5³K. 81³ òk ;5³

9=. ]egje nh ted hnbbnwgom sul gs go ted sglpbdsthnrl>

@.

;7

47

+·

I.

·+

·

409

0009

J.

·+

94

0:91

K.

·+ +

=

5

0

09

9

:

95. E`bh nh 0 pdrjdot wrgttdo `s ` kdjgl`b gs

@. 1.114 I. 1.14 J. 1.19 K. 1.9

97. Go ted mgvdo kg`mr`l, QPT gs ò dqugb`tdr`b trgòmbd,PYXT gs ` squ`rd òk YZ[T gs ` renlius. Hgok ted

pdrgldtdr, go jl, nh ted wenbd kg`mr`l.

Z

[

P T

Y X

Q; jl

4 jl

@. 0=I. 90

J. 98 K. 9=




8 = te GLN - Zdt I

:1. ;1% nh 08;1 + > < :4% nh 751 + 041% nh 541

@. :=9I. 5;9

J. 789K. 0149

:0. Hnrl ò dqu`tgno nh ted hnrl `x + i < j , wedrd ` ,i òk j `rd jnostòts, suje te`t ted snbutgno nh teddqu`tgno gs x < ;.

@. 9 x + 4 < 04 I. = x + 9 < 01 J. 4 x + ; < 08 K. : x + ; < 08

:9. Go ted mgvdo murd, gh QY < PY, ∡ZYQ < ∡ [YP òk∡ ZPQ < ∡ [QP, tedo

[

Y Q P

@. K ZPY A K Q[Y & ZY < [Y I. K ZPY A K [QY & ZY < [Y J. K YPZ A K [QY & ZY < [Y K. K PYZ A K QY[ & ZY < [Y

::. ]egje nh ted hnbbnwgom st`tdldot kn ont enbk go ted prnjdss nh snbvgom ted dqu`tgno 04 + : x < :>

@. : x < : ‚ 04I. 04 ‚ : < ‚ : x

J.

04

::

:+ < x

K.

04:

::

::

+ < x

:;. Zglpbghy, ted dxprdssgno iy rdlnvgom ir`jfdts.

` i ` i ` j ` i ` j i· · · · · + · · · +9 ; 8 : 4 9 : 9V { ( )}\ @. 4` + i I. ; ` ‚ j J. : ` + i + j K. 9 `

:4. Go ted mgvdo murd, ted mgvdo bdomtes nhK QPY `rdgo jdotgldtrds. Gh QP < QY, ok ted bdomte nh PY.

Y

Q

P4 + 0 x

9 + 0: x

9

‚ :

x

@. : jlI. ; jl

J. 4 jl K. 8 jl


:8. @ lò iuys ò `rtgjbd hnr a 9=.41 òk sdbbs gt hnra 95.81. Hgok egs m`go pdrjdot.

@. ; % I. 4 % J. 09 % K. 5 %

:=. @ sul nh lnody govdstdk `t sglpbd gotdrdst trgpbdsgtsdbh go 5 yd`rs. Enw lòy tglds wgbb gt idjnld go91 yd`rs tgld>

@. 5 tglds I. = tglds J. 8 tglds

K. Onod nh tedsd

:5. [ed prgjd nh ` w`tje gs a 41 lnrd teò twgjd ted prgjd nh ` mnbk rgom. Bdt ted prgjd nh ted rgom id a x.Gh ted prgjd nh ted w`tje gs a 915, ok ted prgjd nhted rgom.

@. a 54 I. a =7 J. a 55 K. a =4

:7. @ogse inrrnwdk a 04111 t ted r`td nh 09% ok ontedr`lnuot `t ted r`td nh 04% hnr twn yd`rs. [ed tnt`bgotdrdst p`gk iy egl w`s a 7111. Enw luje kgk ed

inrrnw>

@. a :0111 I. a ::111 J. a 95111 K. a 05111

;1. @ j`r w`s purje`sdk hnr a 51,111. Gts v`bud kdprdjg`tdsdvdry yd`r iy 91%. Hgok ted v`bud nh ted j`r `t teddok nh 9 yd`rs.

@. a 40,811I. a 40,911

J. a 49,011 K. a 49,;11

;0. Zgx idbbs jnlldojd tnbbgom tnmdtedr ok tnbb t gotdrv`bsnh 9, ;, 8, 5, 01 òk 09 sdjnoks rdspdjtgvdby. Go :1lgoutds, enw lòy tglds kn tedy tnbb tnmdtedr>

@. 0; tglds I. 05 tglds J. 08 tglds K. 04 tglds




== te GLN - Zdt I

;9. [ed prgjd nh ` tìbd gs a 011 bdss teò 8 tglds ted prgjdnh ` je`gr. @ sglgb`r sdt nh nod tìbd òk ; je`grs gs

prgjdk `t a 0;11. Hgok ted prgjd nh ` je`gr.

@. a 0;1 I. a 041 J. a 0;5 K. a 0;4

;:. @ rdjtòmub`r mr`ss pbnt 51 l Ý 81 l e`s twn rn`ks,d`je 01 l wgkd, ruoogom go ted lgkkbd nh gt, nod

p`r`bbdb tn bdomte òk ted ntedr p`r`bbdb tn ird`kte.Hgok ted jnst nh mr`vdbbgom ted rn`ks `t a 9 pdr l 9.

@. a 9811

I. a 9=11 J. a 9=41

K. a 9511

;;. @ i`m jnot`gos ò dqu`b oulidr nh nod rupdds, 41 p`gsd òk 94 p`gsd jngos rdspdjtgvdby. Gh ted tnt`b v`budgs a :4, enw lòy jngos nh d`je typd `rd tedrd>

@. 91 I. 04 J. 94 K. 05

;4. @ j`r gs lnvgom `t ò `vdr`md spddk nh :07

fl/er.

Enw luje kgstòjd wgbb gt jnvdr go 40=

enurs>

@. 04 fl I. 08 fl

J. 0= fl K. 05 fl

@JEGDXDYZ ZDJ[GNO

;8. [ed kg`mr`l senws ` rdjtòmbd. ]egje rdjtòmbd, @,I, J nr K, e`s ` se`kdk `rd` wegje gs ted s`ld `sted se`kdk `rd` go kg`mr`l> ([ed bdomte òk ird`ktenh rdjtòmbd QP[T òk d`je nh ted rdjtòmbds @, I,J òk K `rd ted s`ld).

Q

P

T

[

00 jl

8 jl

: jl ZY

@.

Q

P

T

[

I.

Q

P

T

[

8 jl X

J.

Q

P

T

[

4 jl X

Y

K.

Q

P

T

[

X

;=. Go ted mgvdo qudstgno, ` qudstgno gs `sfdk òk gshnbbnwdk iy terdd st`tdldots. ]egbd òswdrgom tedqudstgno, ynu l`y nr l`y ont rdqugrd ted k`t` prnvgkdkgo `bb ted st`tdldots. Wnu e`vd tn rd`k, ted qudstgnoòk ted terdd st`tdldots òk tedo kdjgkd wedtedr tedqudstgno jò id òswdrdk wgte òy nod nr twn nh tedst`tdldots nr `bb ted terdd st`tdldots `rd rdqugrdk tnòswdr ted qudstgno. Zdbdjt ted jnrrdjt nptgno.

]e`t gs ted prgojgp`b sul>

G. [ed sul `lnuots tn a 871 go : yd`rs `t Z.G. GG. [ed sul `lnuots tn a =41 go 4 yd`rs `t Z.G. GGG. [ed r`td nh gotdrdst gs 4% p.`.

@. G òk GGG noby I. GG òk GGG noby J. G òk GG noby K. @oy twn nh ted terdd

;5. Lrs. F`pnnr e`s jdrt`go sul nh lnody tn iuy hrugts.Zed jò iuy o lòmnds `t a 0.81 d`je òk e`vda 1.51 bdht. @btdro`tgvdby, sed jò iuy ( o + 01) `ppbds

`ta

1.=1 d`je òk e`vda

1.01 bdht.Gh Lrs. F`pnnr iuys : lòmnds òk usds ted rdstnh ted lnody tn iuy `ppbds, tedo

(`) Hgok ted v`bud nh o. (i) Enw luje lnody knds Lrs. F`pnnr e`vd hnr

iuygom hrugts> ` i

@. 01 a 01.19 I. 01 a 0;.91 J. 8 a 0; K. = a 09




5 = te GLN - Zdt I

;7. Zdbdjt ted GOJNYYDJ[ l`tje.

H`jds Dkmds Xdrtdx

@. Juid 8 09 5 I. Jybgokdr 0 0 0 J. [rgòmub`r Qyr`lgk ; 8 ; K. Juingk 8 09 5

41. Zt`tdldot G 3 Gh hnur quòtgtgds `, i, j òk k `rd sujete`t ted r`tgn ` 3 i gs dqu`b tn ted r`tgn j 3 k , tedo wds`y `, i, j òk k `rd go r`tgn òk ` 3i 3j 3k .Zt`tdldot GG 3 Gh` 3 i < 4 3 7 òk i 3 j < ; 3 =,tedo ` 3 i 3 j < 91 3 :8 3 8:.

@. Inte st`tdldots G òk GG `rd trud. I. Zt`tdldot G gs trud òk st`tdldot GG gs h`bsd. J. Zt`tdldot G gs h`bsd òk st`tdldot GG gs trud.

K. Inte st`tdldots G òk GG `rd h`bsd.





Wd`r 910;

5 te

Jb`ss =

ZD[ @




5 te GLN - ZD[ @ 0

0. Hgok ted lgssgom murd go ted mgvdo p`ttdro.

>

@. I.

J. K.

9. @ juid òk gts odt gs mgvdo idbnw. Gkdotghy ted bdttdrno ted tnp nh ted juid.

> Q

Y

Z [ T

@. Z I. [ J. T K. Y

:. Gh @rl`ò gs h`jgom Znute-d`stnh Q htdr turogom 0:4± jbnjfwgsd,tedo ed w`s h`jgom `t

rst. @. Onrte I. Onrte-wdst J. ]dst K. Onrte-d`st O

Z

] DQ

;. Gh ted murds e`vgom snld je`r`jtdrs mgvdo idbnwhnbbnw ted s`ld rubd, tedo ok ted lgssgom oulidrhrnl ted nptgnos.

0=95

090;;

9==9

99098

>

0;;08

@. 0:1; I. 9:1; J. 91:; K. 01:;

4. @rròmd ted mgvdo idbnw wnrks go ted nrkdr `s go `kgjtgno`ry.

(g) Ldrjury (gg) Zenwrnnl (ggg) Ygjd (gv) Qdtrnb (v) Nròmds @. (g), (v), (gv), (gg), (ggg) I. (g), (gv), (v), (ggg), (gg) J. (g), (v), (gv), (ggg), (gg) K. (gg), (ggg), (gv), (v), (g)

8. Zdbdjt ted murd hrnl ted nptgnos wegje gs ont dx`jtbydlidkkdk `s nod nh ted p`rt go ted mgvdo murd.

@. I.

J. K.

=. ]egje nh ted hnbbnwgom gs ted jnrrdjt lgrrnr gl`mdnh Hgmurd (U), gh ted lgrrnr gs pb`jdk vdrtgj`bby tnted bdht>

Hgmurd (U)

@. I.

J. K.

5. Jnuot ted oulidr nh trgòmbdsgo ted mgvdo murd.

@. 99 I. 91 J. 07 K. 90

7. ]egje nh ted hnbbnwgom nptgnos idst kdpgjts ted mgvdo Xdookg`mr`l>

@. Qbòts, @ogl`bs, Hbnwdrs I. Qdojgb, Dr`sdr, Qdo J. [ny j`rs, [nys, Qb`stgj nicdjts K. I`sfdti`bb pb`ydrs, Hdl`bds, Zpnrtslò

BNMGJ@B YD@ZNOGOM




5 te GLN - ZD[ @9

01. Zdbdjt ted p`gr wegje s`tgs ds ted s`ld pb`jdldotnh jnokgtgno nh knts.

Q P Y

@. QP I. PY J. QY K. Jò't id kdtdrlgodk

00. Ztuky ted mgvdo `rròmdldot òk oswdr ted qudstgnote`t hnbbnws3] ← 9 Z G * O 0 B A < I K : 8 K E C 7 # = QF $ X & 5 ; LGh ted sylinbs òk oulidrs `rd gotdrjeòmdk sdrg`bby`s tedy `ppd`r go ted `rròmdldot suje `s ← wgte 9, *wgte 0, A wgte : òk sn no, tedo wegje dbdldot wgbb

id ted 0= te dbdldot tn ted rgmet nh ted 91 te dbdldothrnl ted rgmet dok go ted odw `rròmdldot>

@. 5 I. $ J. ; K. #

09. Gh ―+‗ stòks hnr ―Ý‗, ―‚‗ stòks hnr ―ý‗, ―Ý‗ stòkshnr ―‚‗,ý stòks hnr ―+‗, tedo v`bud nh Q gs . 8 ‚ 9 + 5 Ý 09 ý : ? Q

@. 04 I. 05 J. 90

K. 0;

0:. Yèub tnbk @oòk, "Wdstdrk`y G kdhd`tdk ted noby irntedr nh ted kùmetdr nh ly mròklntedr." ]enlkgk Yèub kdhd`t>

@. Zno I. H`tedr J. Irntedr K. H`tedr-go-b`w

0;. Q, P, Y, Z, [, X òk ] `rd sgttgom `rnuok ` jgrjbdh`jgom `t ted jdotrd. X gs sdjnok tn ted bdht nh Qòk sdjnok tn ted rgmet nh ]. [ gs tegrk tn ted rgmetnh P òk gs ont ò glldkg`td odgmeinur nh X. Z gstegrk tn ted rgmet nh Y.Go wegje nh ted hnbbnwgom mrnups gs ted b`st pdrsnosgttgom idtwddo ted rst òk ted sdjnok pdrsnos>

@. YQP I. []Z J. PQY K. Q[Y

04. @ pgdjd nh p`pdr gs hnbkdk go suje ` lòodr `s senwoòk puojedk. Zdbdjt ted uohnbkdk hnrl nh pgdjd nh

p`pdr.

@. I.

J. K.


08. Qrgy` d`rodk a 94111 go ` lnote. [ed mgvdo mr`pesenws ted `lnuot nh lnody s`vdk iy Qrgy` go vdlnotes. ]e`t w`s ted `lnuot nh lnody sed spdokgo vd lnotes>

01111

5111

8111

;111

9111

1@um. Zdp. Njt. Onv. Kdj.

@lnuot (go )

a

Lnotes

@. a 7=1111 I. a 011111 J. a 01=111 K. a 00=111

0=. Zdbdjt ted jnrrdjt l`tje.

Hgmurd Hr`jtgno nhuose`kdk p`rt

@.97

I. 9:

J.08

K.9:




5 te GLN - ZD[ @ :

05. ]egje nh ted hnbbnwgom oulidr bgod rdprdsdots ‚0 ‚ ;>

@.1 0 9 : ; ‚0 ‚9 ‚: ‚; ‚4

I.1 0 9 : ; ‚0 ‚9 ‚: ‚; ‚4

J. 1 0 9 : ; ‚0 ‚9 ‚: ‚; ‚4

K.1 0 9 : ; ‚0 ‚9 ‚: ‚; ‚4

07. [ed v`bud nh( )

( )>

/

/

9;:

:9

0 4 ;

0 4 ;( )( )

<

@.:9

I.:9

;

·

J.0

9 :; ;· ·Ý

K.0

9 :; ;Ý ·

91. Zdbdjt ted GOJNYYDJ[ stdp go sglpbg j`tgno nh9( x + 0) < :(9 x ‚ 9)

Ztdp-0 3 9 x + 9 < 8 x ‚ 8 (npdo ir`jfdts)Ztdp-9 3 8 x ‚ 9 x < 9 + 8 (jnligogom bgfd tdrls)

Ztdp-: 3 ; x < 5Ztdp-; 3 x < 9 (lubtgpbygom iy ; inte sgkds)

@. Ztdp - 9 I. Ztdp - ; J. Ztdp - : K. Ztdp - 0

90. Hgok ted `rd` nh squ`rd QPYZ .

uogts

; uogts

Q

P

Y

Z

@. 07 sq. uogts I. :8 sq. uogts J. 08 sq. uogts K. 94 sq. uogts

99. ]egje nh ted hnbbnwgom nptgnos gs GOJNYYDJ[>

0

9:

;

4

8

=

5

@. ∡0 < ∡: I. ∡0 + ∡; + ∡4 < 051± J. ∡5 < ∡8 K. ∡0 + ∡: < 051±

9:. Go twn trgòmb ds QP Y òk BLO , QP < PY ,∡ Q < ∡ L òk PY < BO , tedo wegje nh ted hnbbnwgomgs trud>@. [rgòmbds `rd jnomrudot noby

I. [rgòmbds `rd gsnsjdbds noby J. [rgòmbds `rd inte jnomrudot òk gsnsjdbds K. Onod nh tedsd

9;. [ed ldò nh terdd oulidrs gs ;1. @bb ted terddoulidrs `rd kghhdrdot o`tur`b oulidrs. Gh bnwdstgs 07, we`t jnubk id egmedst pnssgibd oulidr nhrdl`gogom twn oulidrs>

@. 50 I. ;1 J. 011 K. =0

94. Ztuky ted idbnw st`tdldots j`rdhubby òk òswdr tedqudstgno mgvdo idbnw.

(g) [ed sujjdssnr nh 1 Ý (‚49) gs 0 Ý (‚49). (gg) Gotdmdrs `rd jbnsdk uokdr kgvgsgno. (ggg) (‚91) Ý (4 ‚ :) < (‚91) Ý (‚9) (gv) (‚9) + (‚7) gs bdss teò (‚7) ‚ (‚9).

]egje nh ted hnbbnwgom st`tdldots gs/`rd jnrrdjt> @. Noby (g) I. Inte (g) òk (gv) J. Noby (gv) K. Inte (g) òk (ggg)

98. [ed terdd sj`bds idbnw `rd pdrhdjtby i`bòjdk gh• < :. ]e`t `rd ted v`buds nh

K òk * rdspdjtgvdby>

(g) * * * * *

(gg) * *

(ggg) * * *

@. ;, = I. 8, : J. =, ; K. :, 8




5 te GLN - ZD[ @;

9=. L`tedl`tgjs tdxtinnf hnr Jb`ss XGG e`s :91 p`mds.[ed je`ptdr 'Zylldtry' ruos hrnl p`md 980 tn

p`md 9=9. [ed r`tgn nh ted oulidr nh p`mds nh tegsje`ptdr tn ted tnt`b oulidr nh p`mds nh ted innf gs

^^^^^^^. @. 00 3 :91 I. : 3 ;1

J. : 3 51 K. 9=9 3 :91

95. Go ted mgvdo murd, `bb trgòmbds`rd dqugb`tdr`b òk QP < 09 uogts.Ntedr trgòmbds e`vd iddo hnrldk

iy t`fgom ted lgk pngots nh tedsgkds. ]e`t gs ted pdrgldtdr nhted murd>

@. 89.: uogts I. 8;.4 uogts

J. 84.5 uogts K. 8=.4 uogts

97. [ed oulidr nh tnhhdds go :1 mght p`jfs `rd mgvdo `shnbbnws3

4, 8, ;, 4, :, ;, ;, 9, 4, ;, 0, 9, 00, 7, 9, 4, ;, 5, =, 8,4, 0, 9, 4, =, 5, 0, 7, =, 5

Hgok ted `vdr`md oulidr nh tnhhdds go mght p`jfs. @. ; I. 4 J. 8 K. =

:1. Hgok ted v`bud nh ∡0 + ∡9.

81±

41±

09

@. 041± I. 81± J. 0:1±

K. 001±

Q

P

Q

P

:0. @ lò tr`vdbbdk twn hte nh egs cnurody iy tr`go, nodtegrk iy ius, nod-hnurte iy j`r òk ted rdl`gogom: fl no hnnt. ]e`t gs ted bdomte nh egs cnurodytr`vdbbdk iy tr`go>

@. =4 fl I. =9 fl J. 51 fl K. 54 fl

:9. Go ` sjennb nh 011 stukdots, noby 9 nut nh 4 stukdotsjò p`rtgjgp`td go ` qugz. ]e`t gs ted pdrjdot`md nhstukdots te`t p`rtgjgp`td go ted qugz>

@. 91% I. ;1% J. 41% K. :1%

::. Jennsd ted jnrrdjt nptgno hnr K QPY . @. QP ‚ PY ? QY I. QP + PY 2 QY J. QP ‚ PY 2 QY K. QP + QY 2 PY

:;. [ed jengjds nh ted hrugts nh ;9 stukdots go ` jb`ss `rd`s hnbbnws3 @, N, I, L, @, M, I, M, @, M, I, L, @, M, L, @, I, M, L, I, @, N, L, N, M, I, N, L, M, @, @, I, L, N, L, M, I, @, L, N, L, N,wedrd @, I, M, L òk N stòks hnr @ppbd, Iòò`,Mr`pds, Lòmn òk Nròmd rdspdjtgvdby.]egje twn hrugts `rd bgfdk iy ò dqu`b oulidr nhstukdots>

@. @ òk L I. L òk I J. I òk N K. I òk M

:4. Dv`bu`td39

4;

;=8

:0:

1 15= 1 :=0= 1 7

· ++ ý. . .

@. 9.5:: I. 1.95 J. 1.111195 K. 1.11195

:8. @ 4 fm i`m nh rgjd jnst a 5 pdr fm. Lr. Lnegt inumet a 091 wnrte nh rgjd. Gh ed rdp`jfdk ted rgjd

gotn sl`bbdr p`jfdts d`je wdgmegom:4

fm, enw lòy

p`jfdts wnubk ed mdt> @. 04 I. 09 J. 7 K. 94


:=. Gt t`fds 0= hubb spdjg j typd nh trdds tn l`fd nodtnood nh p`pdr. Gh tedrd `rd 990 suje trdds go ` hnrdst,

tedo tn s`vd=

0: p`rt nh ted hnrdst, enw luje nh

p`pdr wd e`vd tn s`vd> @. 8 tnoods I. 5 tnoods J. = tnoods K. ; tnoods




5 te GLN - ZD[ @ 4

:5. M`rgl` jnbbdjtdk ted k`t` rdm`rkgom wdgmets nhstukdots nh edr jb`ss òk prdp`rdk ted hnbbnwgomtìbd3

]dgmet (go fm) ;;-;7 41-44 48-80 89-8=

Oulidr nh stukdots 5 04 94 0=

@ stukdot gs tn id sdbdjtdk ròknlby hrnl edr jb`sshnr snld jnlpdtgtgno. [ed prniìgbgty nh sdbdjtgno

nh ted stukdot gs egmedst wensd wdgmet (go fm) gs goted gotdrv`b .

@. ;;-;7 I. 48-80 J. 41-44

K. 89-8=

:7. Go ` tdst @ie` mdts twgjd ted l`rfs `s te`t nh Q`b`f.[wn tglds @ie 's l`rfs ok terdd tglds Q`b`f's l`rfsl`fd 951. [ed l`rfs nit`godk iy @ie` `rd .

@. ;1 I. 81 J. 51

K. 71

;1. Zuprgy` mnt a 9=;51 `s edr lnoteby s`b`ry òknvdr-tgld. Edr s`b`ry dxjddks ted nvdr-tgld iya 5111. Enw luje kgk sed d`ro go ` yd`r (dxjdptnvdrtgld)>

@. a 909551 I. a 048;:1 J. a 9;:591 K. a 075;81

;0. [ed b`wo go hrnot nh B`tgf`'s enusd gs 09 l Ý 5 l,wedrd`s ted b`wo go hrnot nh Ogse`'s enusd gs04 l Ý 4 l. @ i`linn hdojgom gs iugbt `rnuok inteted b`wos. Enw luje hdojgom gs rdqugrdk hnr

inte> @. ;1 l I. 51 l J. 81 l

K. 71 l

;9. @lgt purje`sdk 9 fm 911 m pnt`tnds, 941 m rgjd,04 fm :11 m wed`t, 411 m `ppbds òk 9 fm 811 mtnl`tnds. Hgok ted tnt`b wdgmet nh egs purje`sds(go fgbnmr`ls).

@. 94.=4 fm I. 05.84 fm J. 91.54 fm K. 04.74 fm

;:. Zegv`l purje`sdk ;909

bgtrds nh cugjd no Lnok`y

òk 9;:;

bgtrds nh cugjd no [udsk`y. Enw lòy bgtrds

nh cugjd kgk ed purje`sd tnmdtedr go twn k`ys>

@. 889:

bgtrds

I. =9:;

bgtrds

J. =80;

bgtrds

K. 8= 0;

bgtrds

;;. [dlpdr`turd nh ` pb`jd `t 09311 onno w`s 4 ±J.[dlpdr`turd gojrd`sdk iy : ±J go rst enur òkkdjrd`sdk iy 0 ±J go ted sdjnok enur. ]e`t w`sted tdlpdr`turd `t 9311 pl>

@. 4 ±J I. = ±J J. 5 ±J K. 8 ±J

;4. Go ` jnbnoy nh 011 ibnjfs nh `ts oulidrgom 0 tn011, ` sjennb vò stnps `t dvdry sgxte ibnjf wegbd` sjennb ius stnps `t dvdry tdote ibnjf. No wegjestnps wgbb inte nh tedl stnp gh tedy st`rt hrnl teddotròjd nh ted jnbnoy>

@. :1, 81, 71 I. 91, ;1, 51 J. :1, 81, 51 K. ;1, 51, 011

@JEGDXDYZ ZDJ[GNO

;8. Zul nh twn oulidrs gs ;4. Nod gs twgjd ted ntedr. (`) Gh sl`bbdr oulidr gs b , ok ted ntedr oulidr. (i) Hgok ted dqu`tgno hnrldk. (j) Hgok ted oulidrs.

(`) (i) (j)

@. 9b b + 9b < ;4 01, :4

I. 9 b b + 9b < ;4 04, :1

J. b + 9 ;4 + b + 9 < b 04, :1

K. b /9 ;4 + b/9 ‚ b < 1 94, 91

;=. ]egje nh ted hnbbnwgom st`tdldots gs jnrrdjt> @. [ed rdjgprnj b nh prnpdr hr jtgno gs prnpdr hr jtgno. I. [ed prnkujt nh twn glprnpdr hr`jtgnos gs bdss teò

inte ted hr`jtgnos. J. [n lubtgpby ` kdjgl`b oulidr iy 0111, wd lnvd

ted kdjgl`b go ted oulidr tn ted rgmet iy terdd pb`jds.

K. Qrnkujt nh twn hr`jtgnos <Qrnkujt nh tedgr kdonlgo`tnr s

Qrnkujt nh tedgr ouldr`tnr s




5 te GLN - ZD[ @8

;5. [edrd `rd hnur jnot`godrs te`t `rd `rròmdk go ted`sjdokgom nrkdr nh tedgr edgmets. Gh ted edgmet nh tedsl`bbdst jnot`godr mgvdo go ted murd gs dxprdssdk

`s:

9708 4 x < . jl. Hgok ted edgmet nh G, GG òk GX

jnot`godr.

x

5

x

;

x

9

x GGG

GGGGXX

G GG GX @. 047.4 jl =7.=4 jl :7.55 jl I. 048.4 jl =8.84 jl 07.7; jl J. 047.4 jl =7.=4 jl 07.7; jl K. 089.=4 jl 58.4 jl 99.:; jl

;7. Hgbb go ted ibòfs.@ ^^^ Q^^ gs pdrhdjtby str`gmet òk dxtdoks hnrdvdr go

inte kgrdjtgnos. @ ^^^ P^^ gs ` pdrhdjtby `t surh`jd

te`t dxtdoks hnrdvdr go `bb kgrdjtgnos. @ ^^^ Y^^ nr bgodsdmldot, gs ted p`rt nh ` bgod idtwddo twn pngots.

Q P Y @. Bgod Qbòd Y`y I. Bgod Qbòd Zdmldot J. Bgod Y`y Qbòd K. Y`y Zdmldot Qbòd

41. ]egje nh ted hnbbnwgom nptgnos enbk wgte rdspdjt tnmgvdo idbnw st`tdldots>Zt`tdldot 0 3 X`bud nh (‚54) Ý ;: + ;: Ý (‚04)

< (‚54 + (‚04)) Ý ;: < ;:11Zt`tdldot 9 3 Gh * gs ` lubtgpby npdr`tgno hnr gotdmdrs

p, q òk r , tedo wd e`vd p * (q + r ) < ( p * q) + ( p * r )

@. Zt`tdldot 0 gs trud òk st`tdldot 9 gs h`bsd. I. Zt`tdldot 0 gs h`bsd òk st`tdldot 9 gs trud. J. Inte st`tdldots 0 òk 9 `rd trud.

K. Inte st`tdldots 0 òk 9 `rd h`bsd.





Wd`r 910;

5 te

Jb`ss =

ZD[ I




5 te GLN - ZD[ I9

0. @ gs h`tedr nh U6 I gs lntedr nh W. Zgstdr nh U òk Sgs W. ]egje nh ted hnbbnwgom st`tdldots gs kd ogtdbyont trud>

@. I gs ted lntedr nh S I. U gs ted sgstdr nh S.

J. W gs ted sno nh @. K. I e`s nod kùmetdr.

9. Zdvdo hrgdoks Q, P, Y, Z, [, T òk X `rd stòkgomgo ` bgod, h`jgom m`rkdo. [ gs snldwedrd èd`k nhT. [edrd gs dx`jtby nod pdrsno stòkgom idtwddoY òk X. Z gs glldkg`tdby idegok Q. T gs idegok

in te P ò k Z. Gh Z ò k Y `r d hnu rt e ò k hg hterdspdjtgvdby go ted bgod, tedo wegje nh ted hnbbnwgomlust id trud>

@. Q gs rst

I. P gs rst J. T gs sgxte K. T gs sdvdote

:. Zdbdjt ted jnligo`tgno nh oulidrs sn te`t ted bdttdrs`rd `rròmdk `jjnrkgomby tn hnrl ` ldògomhub wnrk.

E I L Y Z T N0 9 : ; 4 8 =

@. :, ;, 9, =, 8, 0, 4 I. 4, 9, =, 0, ;, 8, : J. ;, 0, =, :, 9, 8, 4 K. ;, 0, =, :, 9, 4, 8

;. Enw lòy 0's `rd tedrd go ted hnbbnwgom sdqudojdnh oulidrs wegje `rd glldkg`tdby hnbbnwdk iy 9,gh 9 gs ont glldkg`tdby hnbbnwdk iy :>

0 9 0 : ; 4 0 9 : 4 9 0 9 8 0 ; 4 0 0 9 ; 0 9 :9 0 = 4 9 0 9 4

@. 9 I. ; J. 4 K. =

4. Zdbdjt ted p`gr wegje s`tgs ds ted s`ld jnokgtgnos nh pb`jdldot nh knts .

Q P Y

@. QP I. PY J. QY K. Onod nh tedsd

8. Hgok ted lgssgom murd wegje wgbb jnotgoud ted mgvdosdrgds.

>

@.

I.

J.

K.

=. Zdbdjt ted jnrrdjt lgrrnr gl`md nh Hgm. (U), gh tedlgrrnr gs pb`jdk vdrtgj`bby tn ted rgmet.

@.

Hgm. (U)

I.

J.

K.

5. Zdbdjt ted murd hrnl ted nptgnos wegje gs ont dx`jtbydlidkkdk go ted mgvdo Hgm. (U) `s nod nh gts p`rt.

@.

Hgm. (U) I.

J.

K.

BNMGJ@B YD@ZNOGOMBNMGJ@B YD@ZNOGOM




5 te GLN - ZD[ I :

7. [ed odt nh ` juid gs mgvdo idbnw. Gkdotghy ted juidhnrldk hrnl ted mgvdo odt.

@.9

: 4

8

0

: ;

9

4

I.4

8 0

J.0

8 ;

K.8

9 ;

01. @ jbnjf gs sn pb`jdk te`t `t 09 onno gts lgoutd eòk pngots tnw`rks Onrte-D`st. Go wegje kgrdj tgno kndsgts enur eòk pngot `t 0.:1 p.l.>

@. Onrte I. Znute

J. D`st K. ]dst00. Mgvdo idbnw terdd murds (U), (W) & (S) senws `

sdqudojd nh hnbkgom nh ` pgdjd nh p`pdr. Hgmurd (S)senws ted lòodr go wegje ted hnbkdk p`pdr e`s iddojut. Zdbdjt ted uohnbkdk hnrl nh pgdjd nh p`pdr.

U W S

@.

I.

J.

K.

09. [ed mgvdo sdt nh hgmurds j`rry jdrt`go je`r`jtdrs.@ssulgom te`t ted je`r`jtdrs go d`je sdt hnbbnw `sglgb`r rubd, gkdotghy ted rubd òk ok ted lgssgomje`r`jtdr.

@. 40 I. 4:

J. ;7 K. ;0

0:. ]egje nh ted hnbbnwgom Xdoo kg`mr`ls kdpgjts tedrdb`tgnosegp `lnomst, "Qrgsl, Juingk, [rgòmbd">

@.

I.

J.

K.

0;. Gh 'Q' ldòs '+', 'P' ldòs 'Ý', 'Y' ldòs ' ý' òk'Z' ldòs '‚', tedo 50 Y : Z 04 Q 4 P 1 gs ^^^^^.

@. Dqu`b tn 1

I. Bdss teò ‚0 J. Mrd`tdr teò 9 K. Bdss teò 1

04. Jnuot ted oulidr nh squ`rdsgo ted mgvdo murd.

@. 81

I. 88

J. 48 K. :8


08. Zglpbghy 3

V04 ý : + 01{81 ‚ 5 ý ; + :(4 nh : ‚ =)}\

@. ‚91

I. ‚04

J. 09 K. 08

0=. @rròmd ted se`kdk hr`jtgno nh hnbbnwgom murds go`sjdokgom nrkdr.

@. Q, P, Y, Z I. Z, P, Y, Q J. P, Y, Q, Z K. Y, Z, P, Q




5 te GLN - ZD[ I;

05. Hgok ted v`buds nh Q , P òk Y go ted mgvdo kgvgsgno.

Q P Y

)09 :7 0858:09;

==9

;

;51

9 ;. .·

·

·

·

( Q

P

Y

Q P

@. 8 : ;

I. : 8 5

J. : 8 ; K. 8 : 5

07. [ed mgvdo hgmurd senws terdd gkdotgj`b squ`rds.Hgok x.

@. :1±I. 9=±

J. :8± K. 08±

91. Znbvd hnr x.

:(9 x ‚ 0) + 94% nh x < 7= @. 91 I. 9; J. 09 K. 08

90. Hgmurd (U) e`s rnt`tgno`b sylldtry nh nrkdr ^^^^^.

@. 0

Hgmurd (U)

I. 9

J. :

K. ;

99. Enw lòy lgoutds `rd tedrd go 0:;

er >

@. =4 lgoutds I. 014 lgoutds J. 004 lgoutds K. 74 lgoutds

9:. @ squ`rd, wensd sgkd gs ; ldtrds, e`s gts jnrodrsjut `w`y sn `s tn hnrl ò njt`mno wgte `bb sgkdsdqu`b. Hgok ted bdomte nh d`je sgkd nh ted njt`mno(go ldtrds).

@. ; 9 0·( )

I.·

+

9 9

0 9 9

J.9 9

0 9 9·

K.9 9

0 9 9( )+

9;. Go ted mgvdo j`bjub`tgno, ted oswdr 00;05 gs gojnrrdjtkud tn ` lgst`fd go nod nh ted kgmgts. [ed gojnrrdjtkgmgt gs ^^^^^^^.

@. 1 go stdp-0

I. 0 go stdp-0

J. 1 go stdp-9

98=4;

018501:4100;05

Ý

·

+ ·

·

Ztdp-0Ztdp-9Ztdp-: K. 0 go stdp-9

94. [ed mgvdo i`r mr`pe senws edgmets nh sdbdjtdk b`fds.Hgok ted kghhdrdojd go dbdv`tgno hnr B`fd D òkB`fd J.

811

411

;11

:11

911

011

1 ‚011

@ I J K D H M

Hddt invdnr idbnw

sdbdvdb (gol)

‚79

409

811

9;4

‚49

0;;

B`fds

@. ;91 l

I. 81; l

J. 41; l K. 879 l

98. ]egje nh ted hnbbnwgom st`tdldots gs trud>

@. ]edo wd lubtgpby twn gotdmdrs tedgr prnkujt gs`bw`ys mrd`tdr teò inte ted gotdmdrs.

I. Gotdmdrs `rd ont jbnsdk uokdr lubtgpbgj`tgno.

J. 77 Ý 010 jò id wrgttdo `s (011 ‚ 0) Ý (011 + 0). K. ]edo wd jeòmd ted nrkdr nh gotdmdrs tedgr

kghhdrdojd rdl`gos ted s`ld.

9=. [ed bdttdrs wrgttdo no p`pdr sbgps nh ted wnrkL@[EDL@[GJZ `rd put go ` i`m. Gh nod sbgp gskr`wo ròknlby, we`t gs ted prniìgbgty te`t gt id`rsted bdttdr L>

@. :/00

I. 9/4 J. =/7 K. 9/00

95. Go ted mgvdo murd, QP, YZ ok T[ rd p`r`bbdb bgods. Ghj < =4± òk ` < (9/4)j, ok i + k/9.

@. 79± Q P

Y Z

[T

`

i

j

k I. 004±

J. 009.4± K. 0:4.4±




5 te GLN - ZD[ I 4


97.94

94 011 41%

%nh 41% nh 011%

nh nh 011gs dqu`btn ^^^^^.

Ý @. 1.1110%

I. 1.0%

J. 1.10% K. 0%

:1. Qdnpbd nh ` vgbb`md t`fd mnnk j`rd nh pbòts, trddsòk ògl`bs. [edy l`rfdk snld bòk hnr tedgr pdts(jnw òk nx) òk pbòts. Hgok ted r`tgn nh ted `rd`sfdpt hnr ògl`bs òk pbòts tn ted tnt`b `rd` nh tedvgbb`md.

8 l

: l

= l 5

l

9 l

04l

94 l

Qbots

Jnw

Nx

@. =4390

I. 0943:7 J. 973041 K. 973090

:0. Gh 7 gs `kkdk tn hnur tglds ` oulidr, gt idjnlds teds`ld `s : gs suitr`jtdk hrnl vd tglds ted s`ldoulidr. [egs h`jt jò id rdprdsdotdk `s ^^^^^^^.

@. 4 x + 7 < ; x + :

I. 7 x + ; < : x ‚ 4

J. 7 + ; x < : ‚ 4 x

K. ; x + 7 < 4 x ‚ :

:9. ]egje nh ted hnbbnwgom st`tdldots gs GOJNYYDJ[>

@. Ldò, Ldkgò òk Lnkd l`y id s`ld hnr snldk`t`.

I. [ed prniìgbgty nh mdttgom ò `jd nut nh ` kdjf nhj`rks gs bdss teò 0.

J. Ldò nh ted k`t` gs `bw`ys hrnl ted mgvdo k`t`. K. Ldkgò nh ted k`t` l`y nr l`y ont id hrnl ted

mgvdo k`t`.

::. Kg`ldtdr nh D`rte gs 09=48111 l. Hdw yd`rs `mn,` odw pbòdt w`s kgsjnvdrdk wensd kg`ldtdr gs 4/;:nh ted kg`ldtdr nh D`rte. Hgok ted r`kgus nh tegs

pbòdt (go fl).

@. 794.:: I. ;95.79

J. =;0.8: K. 579.77

:;. Mgvdo idbnw `rd edgmets nh 04 mgrbs nh jb`ss XGGGld`surdk go jl 3 095, 0;;, 0;8, 0;:, 0:8, 0;9, 0:5,097, 0;1, 049, 0;;, 0;1, 041, 0;9, 04;. Hgok

`. [ed ròmd nh ted mgvdo k`t`. i. [ed ldkgò edgmet nh ted mgrbs.

` (go jl) i (go jl)

@. 98 0;9 I. :1 0;;

J. 0;1 95 K. 90 0;1

:4. [ed terdd sj`bds idbnw `rd pdrhdjtby i`bòjdk gh < 4. ]e`t `rd ted v`buds nh K òk ◎ rdspdjtgvdby>

(g)

(gg)

(ggg)

@. 5.=4, :.=4 I. ;.94, 4.=4 J. 7.94, 4.44

K. 9.09, ;.=9

:8. @ lgbflò iuys lgbf `t a =, a 5 òk a 5 pdr bgtrd

hnr terdd sujjdssgvd yd`rs. ]e`t `pprnxgl`tdbygs ted `vdr`md jnst pdr bgtrd nh lgbf gh ed spdoksa ;111 d`je yd`r>

@. a =.75 I. a 5 J. a 5.41 K. a =.8;

:=. [wn pdos òk terdd pdojgbs jnst a 58. Hnur pdos òk` pdojgb jnst a 009. Hgok ted jnst nh ` pdo òk pdojgbrdspdjtgvdby.

@. a 04, a 5

I. a 94, a 09 J. a :1, a 5 K. a 91, a 90

:5. Z`jego gs ynuomdr teò Yèub iy ; yd`rs. Gh tedgr `mds`rd go ted rdspdjtgvd r`tgn nh = 3 7, tedo enw nbk gsZ`jego>

@. 08 yd`rs I. 05 yd`rs J. 0; yd`rs K. Onod nh tedsd




5 te GLN - ZD[ I8

:7. Wnu e`vd a 0411 go ynur s`vgoms `jjnuot `t ted idmgoogom nh ted lnote . [ed rdjnrk idbnw senws `bbnh ynur tròs`jtgnos kurgom ted lnote. Enw lujelnody gs go ynur `jjnuot `htdr tedsd tròs`jtgnos>

K`td ]gtekr`w Kdpnsgt ;/7/0; a 0911 a 9111 99/7/0; a 9011 a 9411 @. a 9111 I. a :011 J. a 9411 K. a 9=11

;1. @ lubtg stnrdy iugbkgom e`s :4 nnrs invd ted mrnuokbdvdb d`je nh edgmet =.4 l. Gt `bsn e`s : nnrs go ted

i`sdldot d`je nh edgmet 4 l . @ bght go iugbkgom lnvds`t ` r`td nh 0 l/s. Gh ` lò st`rts hrnl 41 l ìnvdted mrnuok, enw bnom wgbb gt t`fd egl tn rd`je `t : rk

nnr nh i`sdldot>

@. ;1 sdj

I. 84 sdj J. 85 sdj K. :9 sdj

;0. Gt t`fds 090:

l nh jbnte tn l`fd ` p`ttdro. Enw lòy

p`ttdros jò B`tgf` l`fd hrnl ` pgdjd nh jbnte ;70:

lbnom>

@. ; I. 4 J. :

K. 8;9. Go ` sjennb, noby 9 nut nh 4 stukdots jò p`rtgjgp`td

go ` qugz. ]e`t gs ted jeòjd te`t ` stukdot pgjfdk`t ròknl l`fds gt tn ted jnlpdtgtgno>

@. 91% I. ;1% J. 41% K. :1%

;:. Go ` qugz, Qrgy` mdts e`bh ted l`rfs `s te`t nh Ygy`.[wn tglds Qrgy`'s l`rfs òk terdd tglds Ygy`'s l`rfsl`fd :91. Enw lòy l`rfs Qrgy` nit`godk>

@. :; I. 71 J. 51 K. ;1

;;. M`rgl` òk Lnegt kdpnsgtdk a :111 òk a ;111 go` jnlpòy `t ted r`td nh 01% pdr òoul hnr : yd`rs

òk 909

yd`rs rdspdjtgvdby. [ed kghhdrdojd nh ted

`lnuots rdjdgvdk iy tedl wgbb id

@. a 011 I. a 0111 J. a 711 K. a 0011

;4. Go ` hurogturd senp, :1 tìbds wdrd inumet `t ted r`tdnh a ;11 pdr tìbd. [ed senpfddpdr snbk 05 nh tedl`t ted r`td nh a 811 pdr tìbd òk ted rdl`gogom `t tedr`td nh a 411 pdr tìbd. Hgok ted m`go nr bnss pdrjdot nhted senpfddpdr.

@. ;;% m`go I. 95.4=% bnss J. ;1% m`go K. :9.::% bnss

@JEGDXDYZ ZDJ[GNO

;8. Go qugz, ;1 prgzds jnosgstgom nh 0 st ok 9 ok prgzds noby`rd tn id mgvdo. 0 st òk 9 ok prgzds `rd wnrte a 9411òk a 0411, rdspdjtgvdby. Gh ted tnt`b prgzd lnody gs

a 54,111, tedo

(g) [ed dqu`tgno hnrldk gs

(gg) [ed oulidr nh 0 st prgzds `rd

(ggg) [ed oulidr nh 9 ok prgzds `rd

(g) (gg) (ggg)

@. 9411 x + 0411(;1 ‚ x) < 54111 94 04

I. 9411 x ‚ 0411(;1 ‚ x) < 54111 :8 ;

J. 9411 x Ý 0411( x ‚ ;1) < 54111 91 91 K. 9411 x ‚ 0411( x ‚ ;1) < 54111 04 94

;=. Ztuky ted mgvdo st`tdldots.Zt`tdldot-G 3 d òk e `rd suppbdldot`ry òmbds.Zt`tdldot-GG 3 j òk m `rd dqu`b òmbds.

@ I

J K

`

j

k

d

h

i

m e

b

@. Inte st`tdldot-G òk st`tdldot-GG `rd trud. I. Zt`tdldot-G gs trud òk st`tdldot-GG gs h`bsd. J. Zt`tdldot-G gs h`bsd òk st`tdldot-GG gs trud. K. Inte st`tdldot-G òk st`tdldot-GG `rd h`bsd.




5 te GLN - ZD[ I =


;5. L`tje ted hnbbnwgom. Jnbulo-G Jnbulo-GG

(g)9

:

`

i

j

k ý (`) ‚0

(gg)`

i

j

k

Ý

· 0

(i) · 8`k

ij

(ggg):

9

`

i

j

k ý ·

(j)

ij

`k :

(gv)`

i

`

iý · (k)

8`k

ij

(v)i

`

k

j8 9ý

(d)`k

ij

@. (g)-(d), (gg)-(k), (ggg)-(i), (gv)-(`), (v)-(j) I. (g)-(k), (gg)-(d), (ggg)-(i), (gv)-(`), (v)-(j) J. (g)-(`), (gg)-(i), (ggg)-(j), (gv)-(k), (v)-(d) K. (g)-(k), (gg)-(i), (ggg)-(d), (gv)-(j), (v)-(`)

;7. Hgbb go ted ib`ofs wgte Q(Qdrjdot`md), H(Hr`jtgno),K(Kdjgl`b) no ted oulidr bgod.

1% Q 011%

0H1 K

Q K H

@. ;1% 1.4 =/01

I. :1% 1.8 =/01

J. :4% 1.5 :/5 K. ;5% 1.= ;/7

41. [ed dxprdssgno hnr ted oulidr nh kg`mno`bs te`t wdj`o l`fd hrnl nod vdrtdx nh ` o sgkdk pnbymno gs

@. 9o + 0

I. o ‚ 9

J. 4 o + 9 K. o ‚ :




@OZ]DY FDWZ

; te GLN (9101)

0. (I) 9. (K) :. (I) ;. (K) 4. (I) 8. (J) =. (I) 5. (@) 7. (I) 01. (J) 00. (K) 09. (I) 0:. (@) 0;. (K) 04. (@) 08. (J) 0=. (K) 05. (J) 07. (I) 91. (J)

90. (J) 99. (J) 9:. (J) 9;. (J) 94. (@) 98. (K) 9=. (@) 95. (I) 97. (I) :1. (K) :0. (@) :9. (I) ::. (@) :;. (K) :4. (J) :8. (@) :=. (J) :5. (K) :7. (J) ;1. (I) ;0. (K) ;9. (@) ;:. (J) ;;. (K) ;4. (K) ;8. (J) ;=. (J) ;5. (I) ;7. (I) 41. (@)

4 te GLN (9100)

0. (J) 9. (@) :. (I) ;. (K) 4. (I) 8. (I) =. (@) 5. (J) 7. (I) 01. (@) 00. (J) 09. (I) 0:. (K) 0;. (K) 04. (I) 08. (K) 0=. (I) 05. (@) 07. (K) 91. (I) 90. (I) 99. (I) 9:. (J) 9;. (I) 94. (J) 98. (I) 9=. (K) 95. (J) 97. (I) :1. (K) :0. (@) :9. (@) ::. (K) :;. (I) :4. (I) :8. (I) :=. (K) :5. (J) :7. (K) ;1. (I) ;0. (K) ;9. (I) ;:. (I) ;;. (I) ;4. (@) ;8. (@) ;=. (J) ;5. (K) ;7. (J) 41. (I)

8 te GLN (9109)

ZD[ @0. (I) 9. (K) :. (I) ;. (K) 4. (J) 8. (J) =. (I) 5. (I) 7. (K) 01. (J) 00. (K) 09. (I) 0:. (@) 0;. (I) 04. (@) 08. (K) 0=. (J) 05. (@) 07. (J) 91. (K) 90. (I) 99. (I) 9:. (K) 9;. (@) 94. (K) 98. (J) 9=. (I) 95. (J) 97. (J) :1. (J) :0. (K) :9. (@) ::. (J) :;. (@) :4. (J) :8. (I) :=. (J) :5. (@) :7. (K) ;1. (I) ;0. (K) ;9. (I) ;:. (J) ;;. (K) ;4. (@) ;8. (K) ;=. (I) ;5. (J) ;7. (K) 41. (@)

ZD[ I

0. (K) 9. (@) :. (J) ;. (I) 4. (J) 8. (@) =. (I) 5. (K) 7. (@) 01. (K) 00. (J) 09. (K) 0:. (K) 0;. (K) 04. (I) 08. (J) 0=. (K) 05. (I) 07. (J) 91. (I) 90. (@) 99. (@) 9:. (K) 9;. (I) 94. (I) 98. (J) 9=. (I) 95. (@) 97. (J) :1. (@) :0. (K) :9. (J) ::. (K) :;. (K) :4. (J) :8. (K) :=. (K) :5. (I) :7. (I) ;1. (K) ;0. (I) ;9. (I) ;:. (@) ;;. (K) ;4. (K) ;8. (J) ;=. (I) ;5. (J) ;7. (I) 41. (K)

=te GLN (910:)

ZD[ @0. (I) 9. (J) :. (J) ;. (@) 4. (I) 8. (I) =. (J) 5. (K) 7. (K) 01. (J) 00. (@) 09. (J) 0:. (J) 0;. (K) 04. (K) 08. (@) 0=. (I) 05. (J) 07. (K) 91. (J) 90. (J) 99. (I) 9:. (J) 9;. (K) 94. (@) 98. (I) 9=. (I) 95. (K) 97. (I) :1. (J) :0. (I) :9. (@) ::. (K) :;. (I) :4. (J) :8. (K) :=. (@) :5. (I) :7. (J) ;1. (K) ;0. (@) ;9. (J) ;:. (K) ;;. (I) ;4. (J) ;8. (J) ;=. (@) ;5. (I) ;7. (K) 41. (J)

ZD[ I0. (I) 9. (K) :. (I) ;. (I) 4. (@) 8. (K) =. (K) 5. (I) 7. (I) 01. (I) 00. (I) 09. (J) 0:. (J) 0;. (K) 04. (K) 08. (J) 0=. (J) 05. (I) 07. (K) 91. (K) 90. (I) 99. (I) 9:. (@) 9;. (I) 94. (J) 98. (J) 9=. (@) 95. (@) 97. (K) :1. (J) :0. (K) :9. (I) ::. (J) :;. (K) :4. (J) :8. (@) :=. (J) :5. (I) :7. (I) ;1. (I) ;0. (J) ;9. (I) ;:. (@) ;;. (@) ;4. (I) ;8. (I) ;=. (K) ;5. (K) ;7. (I) 41. (J)

5 te GLN (910;)

ZD[ @0. (J) 9. (K) :. (J) ;. (I) 4. (J) 8. (J) =. (I) 5. (I) 7. (K) 01. (J) 00. (I) 09. (K) 0:. (I) 0;. (K) 04. (I) 08. (J) 0=. (I) 05. (K) 07. (K) 91. (I) 90. (K) 99. (K) 9:. (K) 9;. (@) 94. (J) 98. (J) 9=. (J) 95. (K) 97. (I) :1. (J)

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