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8/19/2019 Class 7 IMO 5 Years EBook
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8/19/2019 Class 7 IMO 5 Years EBook
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;ª te GLN 9101
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8/19/2019 Class 7 IMO 5 Years EBook
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8/19/2019 Class 7 IMO 5 Years EBook
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8/19/2019 Class 7 IMO 5 Years EBook
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8/19/2019 Class 7 IMO 5 Years EBook
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8/19/2019 Class 7 IMO 5 Years EBook
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Gotdro`tgno`bL`tedl`tgjs
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JB@ZZ 09
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8/19/2019 Class 7 IMO 5 Years EBook
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Jb`ss
0 tn 01
8/19/2019 Class 7 IMO 5 Years EBook
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HNTOK@[GNO JNTYZDHnr Jb`ssds =, 5, 7 & 01
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8/19/2019 Class 7 IMO 5 Years EBook
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(@) ;7 (I) 95
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:. @ p`rdot mrnup gs pb`oogom `o `w`rks kgoodr hnr stukdots, td`jedrs `ok p`rdots. [ed p`rdot mrnuppb`os tn sd`t ted mudsts `rnuok ` jgrjub`r t`ibd 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) J`oont id kdtdrlgodk
;. Y`eub 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 `inut 91 ontdinnf p`pdrs d`je wddf. ]e`t gohnrl`tgno gs oddkdk tn hgok ted`pprnxgl`td oulidr nh ontdinnf p`pdrs Y`eub e`k bdht `htdr ted sjennb yd`r w`s nvdr>(@) [ed oulidr nh enurs Y`eub kgk enldwnrf dvdry k`y
(I) [ed oulidr nh jb`ssds Y`eub e`k
(J) [ed oulidr nh stukdots go Y`eub's mr`kd (K) [ed oulidr nh wddfs go ted sjennb yd`r
4. ]egje p`gr nh d`mbd pgjturds senws tr`osb`tgno>
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8. [ed tnp, sgkd `ok hrnot vgdws nh ` snbgk hgmurd l`kd nh juids `rd senwo idbnw.
[np Zgkd Hrnot
]egje snbgk hgmurd gs idst rdprdsdotdk iy tedsd vgdws>
(@) (I) (J) (K)
;te GLN - 9101
Jnpyrgmet©9104. Zjgdojd Nbylpg`k Hnuok`tgno (ZNH)
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: ; te GLN | Bdvdb-G| Jb`ss =
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5. Yd`k ted mr`pe `ok `oswdr ted mgvdoqudstgno. No wegje k`y kgk Z`lgr` rdjdgvddx`jtby 81 tdxt ldss`mds >
(@) Lnok`y
01174715451=4=184814441;4;1
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Zuok`y Lnok`y [udsk`y ]dkodsk`y [eursk`y Hrgk`y Z`turk`y
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(@) Qrgy`of` (I) Zegfe` (J) Zode` (K) Wnmgt
01. @ jnlluogty swgllgom pnnb gs npdo no kghhdrdot k`ys kdpdokgom no ted `gr tdlpdr`turd. [ed mgvdot`ibd senws ted `gr tdlpdr`turd no kghhdrdot k`ys.[ed k`tds bgstdk go ted t`ibd senw te`t ted pnnb w`s jbnsdk noL`y 0, Cuod 0 `ok 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 >
(@) [ed `gr tdlpdr`turd lust id idtwddo =;±H `ok 71±H
Zwgllgom Qnnb
K`td @gr [dlpdr`turdL`y 0
Cuod 0
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85±H=:±H
59±H5=±H
79±H=4±H
(I) [ed `gr tdlpdr`turd lust id bnwdr te`o 70±H
(J) [ed `gr tdlpdr`turd lust id egmedr te`o =4±H
(K) [ed `gr tdlpdr`turd lust id idtwddo 85±H `ok 70±H
00. [ed mgvdo t`ibd senws ted tgjfdt prgjds `t `o `lusdldot p`rf. [gjfdt Qrgjds[ypd nh [gjfdts Qrgjd
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;; te GLN | Bdvdb-G| Jb`ss =
0:. ]egje nod nh ted hnbbnwgom kg`mr`ls idst gbbustr`tds ted terdd jb`ssds 3 Yenlius, Pu`krgb`tdr`b,Qnbymnos >
(@) (I) (J) (K)
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Hgm.(U)
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91. Hgok ted nkk nod nut.
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@lgt s`w 9 lnrd pdnpbd `htdr ed `kkdk egs b`st tgjf l`rf. ]egje jnubk id usdk tn hgok p , ted tnt`boulidr nh pdnpbd ed s`w>
(@) 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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(@) Dqugb`tdr`b (I) Gsnsjdbds (J) Zj`bdod (K) Onod nh tedsd
9:. ]e`t gs ted v`bud nh ted dxprdssgno mgvdo idbnw >4 + 4(7 ý :) 9
(@) :4 (I) 71 (J) 41 (K) 9:1
;te GLN - 9101
Jnpyrgmet©9104. Zjgdojd Nbylpg`k Hnuok`tgno (ZNH)
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4 ; te GLN | Bdvdb-G| Jb`ss =
9;. ]egje nh ted hnbbnwgom `rd jnrrdspnokgom p`rts nh ted twn mgvdojnomrudot hgmurds >
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Q P Y Z 94±
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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.
]egje kdjgl`b oulidr rdprdsdots ted se`kdk p`rt nh edr kdsgmo>(@) 1.8 (I) 1.18 (J) 1.118 (K) 1.1118
95. [ed hr`jtgnos9 : ; 4, , `ok; 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 `ok kdonlgo`tnr nh ted hr`jtgnos mgvdo `invd >(@) [ed ouldr`tnr gs twgjd ted kdonlgo`tnr (I) [ed kdonlgo`tnr gs twgjd ted ouldr`tnr (J) [ed ouldr`tnr gs 9 lnrd te`o ted kdonlgo`tnr (K) [ed kdonlgo`tnr gs 9 lnrd te`o ted ouldr`tnr
97. ]egje mrnup senws `bb ted oulidrs te`t `rd jnllno h`jtnrs nh :8 `ok ;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 >
T X ] U
(@) Hgmurd T (I) Hgmurd X
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:9. Lr. Y`me`v gost`bbdk ` trg`omub`r pgdjd nh st`godk mb`ss `invd egs hrnot knnr.
]egje nh ted hnbbnwgom idst kdsjrgids ted trg`ombd wgte ted mgvdo ld`surds>:4± :4±
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;te GLN - 9101
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:4. Bddb` bnnfdk `t sdvdr`b kghhdrdot hbnwdr `rr`omdldots idhnrd purje`sgom nod. [ed `rr`omdldotsv`rgdk go prgjd hrnl 04.89 tn :=.41. ]egje ld`surd nh k`t` j`o id usdk tn kdsjrgid ted v`rg`tgnogo prgjd nh ted kghhdrdot `rr`omdldots >
(@) Ld`o (I) Lnkd (J) Y`omd (K) Ldkg`o
: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
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(J) [ed oulidrs 9;, 09 `ok 8 `rd jnlpnsgtd.
(K) [ed oulidrs 9, :, 8 `ok 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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I`sdk no tegs rubd, wegje nh ted hnbbnwgom gs dqugv`bdot tn ted dxprdssgno 5 ‚; Ý 58 >
(@) 5 ‚01 , idj`usd 5 ‚; Ý 58 < 5 ‚;‚8 (I) 501 , idj`usd 5 ‚; Ý 58 < 5 ;+8
(J) 5 ‚9 , idj`usd 5 ‚; Ý 58 < 5 ;‚8 (K) 59, idj`usd 5 ‚; Ý 58 < 5 ‚;+8
:7. @ b`kkdr te`t gs 0: l bnom bd`os `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 `o `ppbg`ojd jnlp`oy. Ed j`o p`jf ` b`rmd inx go 01 lgoutds `ok ` sl`bbinx go ; lgoutds. Ed oddks tn p`jf 01 b`rmd inxds `ok 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.
;te GLN - 9101
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= ; te GLN | Bdvdb-G| Jb`ss =
;9. [`r o` e`s ; nbk jngos 3 ], U, W `ok S. Jngo W gs wnrte 9. Jngo S gs wnrte : tglds ted v`bud nhJngo W. Jngo U gs wnrte ; tglds ted v`bud nh Jngo W. [ed ; jngos `rd wnrte :1 `btnmdtedr. ]e`tgs ted v`bud nh Jngo ]>
(@) 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, `ok `ontedr l`jegodl`fds ted s`ld hb`sebgmets `t ` r`td nh 0:4 hb`sebgmets pdr enur. ]egje nh ted hnbbnwgom dqu`tgnosj`o 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 `inut 51 lgoutds. D`je snom gs idtwddo; tn 8 lgoutds bnom. ]egje gs ` rd`sno`ibd 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, `ok ted sl`bbdr jnstuld rdqugrdk :; ldtrds bdss te`o ted b`rmdr nod. ]egje nh ted hnbbnwgom
dqu`tgnos j`o 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 j`o ruo 011 ldtrds go 91 sdjnoks. Gh ed jnlpdtds go ted ;11-ldtrds r`jd, `inut enw l`oysdjnoks 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 je`omd >
(@) @ 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) @ i`iy wen wdgmedk = pnuoks `t igrte onw wdgmes 08 pnuoks.
;5. L`bgog `oswdrdk =4% nh ted ;1 prnibdls no edr egstnry enldwnrf jnrrdjtby. Enw l`oy prnibdlsno edr enldwnrf kgk sed `oswdr 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`sno`ibd `lnuot nh tgld gt jnubk e`vd t`fdohnr @iegb`se` tn e`vd `ppbgdk : jn`ts nh p`got `ok hnr ted pnttdry tn id jnlpbdtdby kry >
(@) 014 lgoutds (I) 994 lgoutds (J) 074 lgoutds (K) 71: lgoutds
41. Gse` `ok Zegv`og r`jdk tedgr tny j`rs. [ed mgvdoGse`
Zegv`og
4:011
ldtrds
07011
ldtrds
kg`mr`l senws ted kgst`ojd ted j`rs tr`vdbbdkkurgom ted r`jd. Enw luje h`rtedr kgk Gse`'sj`r tr`vdb te`o Zegv`og's j`r >
(@) :;
l011 (I) ;;
l011 (J) =9
l011 (K) 89
l011
;te GLN - 9101
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4 te
Wd`r 9100
Jb`ss =
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9 4te GLN - 9100
ZDJ[GNO G 3 BNMGJ@B YD@ZNOGOM
0. Gh ted bdttdrs nh ted wnrk GLQNY[@OJD `rd `rr`omdk hrnl bdht tn rgm et go `bpe`idtgj`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= `ok 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 `ok jyjb dk 01 fl tnw`rks Znute, tedo turodk rgmet `ok jyjbdk 4 fl `ok tedo `m`go
turodk rgmet `ok jyjbdk 01 fl. @htdr tegs ed turodk bdht `ok jyjbdk 01 fl. Enw l`oy 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 ib`of sp`jd nh murd (U) wnubk jnlpbdtds
ted p`ttdro.
(@)
(I) >
Hgm. (U) (J)
(K)
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5. Xgc`y gs 0= te hrnl ted bdht dok nh ` rnw nh 97 inys `ok L`ogse gs 0= te hrnl ted rgmet dok go ted
s`ld rnw. Enw l`oy 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 l`oy 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) `ok (gv) jnostgtutd ted Qrnibdl sdt. [edrd gs ` kd ogtd rdb`tgnosegp idtwddomurds (g) `ok (gg). Dst`ibgse ` sglgb`r rdb`tgnosegp idtwddo murds (ggg) `ok (gv) iy sdbdjtgom `
sugt`ibd murd hrnl ted nptgnos te`t wnubk rdpb`jd (>) go murd (gv).
(@)
(I)
>
Qrnibdl Zdt
(g) (gg) (ggg) (gv)
(J)
(K)
09. @ squ`rd tr`osp`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 tr`osp`rdot seddt gs hnbkdk `bnom ted knttdk bgod QP .
(@)
(I)
Q P
(J)
(K)
0:. @rr`omd ted mgvdo wnrks go ` ld`ogomhub sdqudojd `ok hgok ted jnrrdjt `oswdr 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 dst`ibgsedk iy ted Qrnibdl
Hgmurds.
(@) (I)Qrnibdl Hgmurds
>
(J)
(K)
ZQ@JD HNY YNTME ]NYF
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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 , [ `ok U bgvd sdp`r`tdby go `oy nod nh ted hnbbnwgom 3 ` p`b`jd, ` eut, `hnrt, ` enusd `ok ` entdb. D`je nod bgfds twn kghhdrdot jnbnurs hrnl `lnom ted hnbbnwgom 3 Ibud, Ib`jf,Ydk, Wdbbnw `ok Mrddo. T bgfds rdk `ok ibud. [ bgfds ib`jf. [ed pdrsno bgvgom go ` p`b`jd knds ontbgfd ib`jf nr ibud. Q bgfds ibud `ok 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 dst`ibgsedk 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` `ok tn tedrgmet nh Qg`. Lgse` gs tn ted rgmet nh Ygje`. Yddt` gs idtwddo Ygje` `ok 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 k`umetdr nh ted noby j egbk nh ly h`tedr."]e`t gs ted rdb`tgno nh @iegsedf's wghd wgte ted mgrb>
(@) K`umetdr (I) Lntedr (J) @uot (K) Zgstdr
ZDJ[GNO GG 3 L@[EDL@[GJ@B YD@ZNOGOM
90. Hgok ted oulidr nh h`jtnrs nh =4. (@) ; (I) 8 (J) 5 (K) 01
ZQ@JD HNY YNTME ]NYF
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44te GLN - 9100
99. @ kgvdr w`s kgv gom 011 ldtrds idbnw s d` bdvdb. Ed wdot knw o 91 ldtrds lnrd `ok 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 `ok 949= bgtrds nh pdtrnb. [ed mrd`tdst pn ssgi bdsgzd nh ted ld`surgom vdssdb wgte wegje wd j`o ld`surd ted pdtrnb nh `oy 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) J`o'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 `oswdr 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`gotgomZtgtjegomK`ojgom
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 `ok k`ojgom 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
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8 4te GLN - 9100
95. Kgvgkd 0; tnhh dds idtwddo @ofg t` `ok @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 `ok ed e`s tnt `b a 04,111. Enw l`oy 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 `ok 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 `ok ∡ I@ J < ;1± `ok ∡ @IJ < =1±.
Hgok ted v`bud nh ∡ @JK . (@) 0:1±
@
J KI
(I) 0;1±(J) 0=1±(K) 001±
:;. @ rdjt`omub`r dbk e`s bdomte `ok 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) J`o't id kdtdrlgodk
ZQ@JD HNY YNTME ]NYF
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=4te GLN - 9100
:8. Enw l`oy oulidrs `rd tedrd hrnl 011 tn 911>
(@) 011 (I) 010 (J) 77 (K) Onod nh tedsd
:=. ]rgtd knwo ted Ynl`o 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 te`o nr dqu`b tn te`t oulidr.
(K) ; `ok 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±
ZDJ[GNO GGG 3 DXDYWK@W L@[EDL@[GJZ
;0. @l`o's lnt edr w`s 90 yd`rs nbk wedo egs s gstdr w`s inro. Egs h`tedr gs 5 yd`rs nbkdr te`o egs
lntedr. Onw @l`o gs 0= yd`rs nbk `ok egs sgstdr gs : yd`rs nbkdr te`o egl. ]e`t gs ted prdsdot
`md nh @l`o'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 `o nbk l`o hnb bnwdk iy `o nbk b `ky. [edy
wdrd hnbbnwdk iy twn jnupbds wen wdrd `jjnlp`ogdk 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 l`oy p`rts j`o ` rnk nh bdomte 07.4 l id irnfdo gotn dqu`b bdomtes nh 84 jl>
(@) 91 (I) :1 (J) : (K) 0:1
ZQ@JD HNY YNTME ]NYF
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;;. [erdd idbbs tn bb `t got drv`bs nh :8 sdjnoks, ;1 sdjnoks `ok ;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. Lne`o e`s jdrt`go lnuot go egs `jjnu ot. Ed mgvds e`bh nh tegs tn egs dbkdst sno `ok 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 prni`igbg 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 `ok 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 `ok w`tdr. [ed jnojdotr`tgno nh lgbf go d`je
nh ted jnot`godrs gs 91% `ok 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 ;
ZQ@JD HNY YNTME ]NYF
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Wd`r 9109
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9 8 te GLN - ZD[ @
ZDJ[GNO G 3 BNMGJ@B YD@ZNOGOM
0. Go ted qudstg no, snld bdttdrs `rd mgvdo wegje `rd oulidrdk 0, 9, :, ; `ok 4. Idbnw `rd mgvdo hnur
nptgnos jnot`gogom jnligo`tgnos nh tedsd oulidrs. Hgok te`t jnligo`tgno nh oulidrs sn te`t
bdttdrs `rr`omdk `jjnrkgomby hnrl ` ld`ogomhub 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 `rr`omdldot, enw l`oy suje syl inbs `rd tedrd, d`je nh wegje gs prdjdkdk iy ` bdttdr
wegje gs hrnl ted rst e`bh nh ted Dombgse `bpe`idt `ok 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 `ok @J[ < ;5 tedo I@[ < > (@) :7 (I) ;0 (J) ;; (K) ;8
4. [ed mgvdo qudstgno jnosgsts murds (g), (gg), (ggg) `ok (gv). [edrd gs ` kd ogtd rdb`tgnosegp idtwddo
murds (g) `ok (gg). Dst`ibgse ` sglgb`r rdb`tgnosegp idtwddo murds (ggg) `ok (gv) iy sdbdjtgom `
sugt`ibd 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 ` kgst`ojd nh 94 l, ed turodk tn ted rgmet
`ok w`bfdk 01 l. Ed tedo `m`go turodk tn ted rgmet `ok w`bfdk 04 l. @htdr tegs ed e`s tn turo
tn egs rgmet `t 0:4± `ok 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
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: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 te`o H`re`o iut ont `s luje `s C`y. Frgs e d`ros bdss te`o C`y iut ont `s bgttb d`s H`re`o. Lnegt d`ros lnrd te`o H`re`o iut ont `s luje `s Ynegt. Gh tedy `rd `rr`omdk `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 `ok Q `rd sdvdo fgks pb`ygom go ted m`rkdo. [edy `rd wd`rgom jbnteds nh jnbnurs- ib`jf, ibud, wegtd, mrddo, pgof, ydbbnw `ok 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 rr`omdk 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 `ok 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
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; 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 `ok nod sp`jd bdht ib`of senwo iy qudstgno
l`rf. ]egje `oswdr murd wgbb rdpb`jd ted qudstgno l`rf>
(@) (I) >
(J) (K)
08. GhQ ld`os ý , Y ld`os +, [ ld`os ‚ `ok ] ld`os 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) `ok (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' `ok ―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)
ZDJ[GNO GG 3 L@[EDL@[GJ@B YD@ZNOGOM
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 `o dqugb`tdr`b trg`ombd `ok USP gs `o gsnsjdbdstrg`ombd. Hgok∡PSN.
(@) :1±
U
W S
P
:1±N (I) 81±(J) ;4±(K) 41±
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48 te GLN - ZD[ @
9:. [ed mgvdo snbgk (ont kr`wo tn sj`bd) gs ` rdmub`r trg`omub`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 `ok 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 te`o 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 `ok 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±
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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 ` rdjt`omub`r p`gotgom w gte inr kdr gs 9;.4 jl `okgts 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
` jnlp`oy 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 jnlp`oy gs enw l`oy tglds ted dxpdokgturd no rdsd`rje
`ok kdvdbnpldot>
(@) 9= (I) 91 (J) 05 (K) 5
:=. Gh ted got drdst no bn`os `lnuot dk tn a 9.;4 jrnrds, tedo ted tnt`b `lnuot nh dxpdokgturd no
`kvdrtgsdldot, t`xds & rdsd`rje `ok kdvdbnpldot gs ^^^^^^^.
(@) a = jrnrds (I) a 4.; jrnrds (J) a ;.9 jrnrds (K) a : jrnrds
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=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 `ok 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. Kgp`oseu go vdstdk ` sul nh lnody hn r ` pdrgnk hrnl L`y 9118 tn L`y 9115 t t ed r`td nh 09%
pdr `ooul. 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 `ombds `rd jnomrudot.
(J) [wn nitusd `ombds `rd `bw`ys jnomrudot. (K) Onod nh tedsd
ZDJ[GNO GGG 3 DXDYWK@W L@[EDL@[GJZ
;0. @ c`r gs:
4 hubb nh nr`omd 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 nr`omd cugjd>
(@) 0
01 (I)
0
8 (J)
9
4 (K)
0
9
;9. Lnogf` lgxdk nr`omd syrup `ok w`tdr go ted r`tgn ; 3 7. Enw l`oy 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 `ok tedsfgrt, tedo enw luje lnody lust sed e`vd, gh ted sfgrt jnsts a :0.41 lnrd te`o ted i`m >
(@) a :5.41 (I) a =1 (J) a 015.41 (K) a 091.44
;;. C`slgod `ok Znog` e`k 81 penodj`rks. C`slgod e`k tergj d `s l`oy peno dj`rks `s Znog`. Enwl`oy 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
;=. @ lgbfl`o 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 `o `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
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5 8 te GLN - ZD[ @
;7. [edrd `rd twn iu gbkg oms st `okgom 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 `invd ted mrnuok. Hgok ted kgst`ojd idtwddo ted twniugbkgoms.
(@) :9 l (I) 05 l (J) 94 l (K) 9: l
41. @ pb`jd Q gs 59 l `invd ted sd`-bdvdb `ok `ontedr pb`jd gs 0: l idbnw ted sd`-bdvdb. ]e`t gs tedkgst`ojd idtwddo ted twn pb`jds>
(@) 74 l (I) 87 l (J) ‚74 l (K) ‚ 87 l
ZQ@JD HNY YNTME ]NYF
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8te
Wd`r 9109
ZD[ I
Jb`ss =
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9 8 te GLN - Zdt I
ZDJ[GNO G 3 BNMGJ@B YD@ZNOGOM
0. Gh 'r`t' gs j`bbdk 'knm', 'knm' gs j`bbdk 'bgno ', 'bgno ' gs j`bbdk 'wnbh ', 'wnbh ' gs j`bbdk 'so`fd' `ok 'so`fd'
gs j`bbdk 'dbdpe`ot', we`t wgbb id 'knm' j`bbdk> (@) Y`t (I) Knm (J) ]nbh (K) Bgno
9. Lnegt r`ofdk 09 te go ` jb`ss nh :: stukdots hrnl ted tnp. ]e`t gs egs r`of 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 dst`ibgsedk iy ted mgvdo
prnibdl murds.
(@) (I) (J) (K)
8. Yne`o gs t`bbdr te`o F`rtgf wen gs senrtdr te`o Zuse`ot. O`l`o gs t`bbdr te`o @rse iut senrtdr te`o
F`rtgf. Zuse`ot gs senrtdr te`o Yne`o. ]en gs t`bbdst> (@) Yne`o (I) Zuse`ot (J) @rse (K) O`l`o
=. ]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 l`oy rdjt`ombds `rd tedrd go ted mgvdo murd>
(@) 0: (I) 0; (J) 04 (K) Onod nh tedsd
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:8 te GLN - Zdt I
7. Gh 'ý ' ld`os '‚', '‚' ld`os 'Ý', 'Ý' ld`os '+' `ok '+' ld`os ' 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 `bpe`idts 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 b`omu`md gh JYNJNKGBD gs jnkdk `s NYJKNJDBG, enw wgbb DBDQE@O[Z id jnkdk go ted
s`ld b`omu`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 `ok w`bfdk 04 ldtrds6 `ok `m`go tnnf `bdht turo `ok w`bfdk 01 ldtrds `ok stnppdk w`bfgom. Enw h`r `ok 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)
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; 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 `ok ] 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 `ok ]. ]en gs no ted glldkg`td bdht nh Y> (@) P (I) [ (J) Q (K) K`t` go`kdqu`td
07. Ztuky ted hnbbnwgom `rr`omdldot nh kgmgts, bdttdrs `ok sylinbs `ok `oswdr ted qudstgno mgvdo
idbnw 3
H G ; F I 4 7 # K Y 9 # = L M % E X [ : 5 * 0 C @
Enw l`oy suje sylinbs `rd tedrd go ted `invd `rr`omdldot d`je nh wegje gs inte glldkg`tdby
prdjdkdk `ok 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;
ZDJ[GNO GG 3 L@[EDL@[GJ@B YD@ZNOGOM
90. Keruv d`rodk snld lnody. Ed spdot0
: nh ted lnody no l`m`zgods `ok
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 ` k`ojd p`rty. [edy spdot a 411 hnr ` bnj`b i`ok. [ed dqu`tgno
idbnw j`o id usdk tn ok ted tnt`b prn t y, gh ted stukdots snbk x tgjfdts tn ted k`ojd p`rty.
y < ; x ‚ 411
]e`t knds ted oulidr ; rdprdsdot go ted dqu`tgno>
(@) [ed prgjd pdr tgjfdt (I) [ed jnst nh ted i`ok
(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
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48 te GLN - Zdt I
94. Go ted murd (ont kr`wo tn sj`bd), @JK gs ` rgmet-`ombdk trg`ombd, @IJ gs `o gsnsjdbds trg`ombd wgte
@I < @J, @JM, D@I `ok H@K `rd str`gmet bgods. Hgok ted v`bud nh x `ok y rdspdjtgvdby.
(@) =1±, 54± (I) 51±, =4± (J) =1±, 51± (K) =4±, 54±
98. [edrd rd 4; mrddo `ppbds `ok :1 lnrd rdk te`o 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 r`omd 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 (@) `ok (I) (K) Onod nh tedsd
:1. Enw l`oy h`jds knds ted mgvdo snbgk e`vd>(@) 5(I) 01(J) 09(K) 0;
:0. [ed rdjt`ombd 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 rdjt`ombd>
(@) B `ok O (I) L `ok N (J) B `ok L (K) L `ok O
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8 8 te GLN - Zdt I
:9. ]egje rubd rdprdsdots ted rdb`tgno senwo go ted t`ibd > 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 kgst`ojd 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;= `ok 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 `ok @I < IJ , ok ted v`bud nh y .
(@) ;4± (I) ;5± (J) 91± (K) :1±
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=8 te GLN - Zdt I
ZDJ[GNO GGG 3 DXDYWK@W L@[EDL@[GJZ
;0. Gsegf` `ok edr mr`okh`tedr inte e`k igrtek`ys b`st wddf. [ed sul nh tedgr `mds gs 011 yd`rs. Edr
mr`okh`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 te`o 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 l`oy nh ted s`ld typd nh ir`jdbdts j`o Cdooy
l`fd wgte 051 id`ks > (@) 91 (I) 9= (J) ;:9 (K) 7=9
;;. Zgx idbbs jnlldojd tnbbgom tnmdtedr `ok tnbb `t gotdrv`bs nh 9, ;, 8, 5, 01 `ok 09 sdjnoks rdspdjtgvdby.
Go :1 lgoutds, enw l`oy tglds kn tedy tnbb tnmdtedr> (@) ; (I) 01 (J) 04 (K) 08
;4. 0 bgtrd nh w`tdr wdgmes 0 fm. Enw l`oy 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 `ok 9:
nh ted sdjnok mrnup
in`rk iusds tn tr`vdb tn ` lusdul, enw l`oy lnrd pdnpbd nh ted rst mrnup in`rk iusds te`o
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. @ l`o sdbbs ` j r tn egs hrgdok `t 01% bnss. Gh ted hrgdok sdbbs gt hnr a 4;111 `ok 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 : t`ibds `ok 9 je`grs gs a =;4. Gh nod t`ibd jnsts a ;1 lnrd te`o nod je`gr, ok
ted prgjd nh d`je t`ibd `ok 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` `ok Qrgy` `t 4% pdr `ooul hnr ` pdrgnk nh ; yd`rs `ok
4 yd`rs rdspdjtgvdby. Hgok ted kghhdrdojd nh ted gotdrdst p`gk iy Ldme` `ok Qrgy`. (@) a 0;1 (I) a 481 (J) a 981 (K) a :81
ZQ@JD HNY YNTME ]NYF
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=te
Wd`r 910:
ZD[ @
Jb`ss =
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9 = te GLN - Zdt @
0. Qrgy` rdldlidrs te`t sed s`w edr l`tdro`b `uot 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 k`umetdr, 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 mr`okh`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 l`oy suje p`grs nh bdttdrs `rd tedrd go ted wnrk'KGZ[TYI@OJD' wegje e`vd s l`oy bdttdrs idtwddo
tedl `s tedrd `rd go Dombgse `bpe`idts > @. 8
I. 4 J. 5
K. =
4. Lnegt, Ogtgo ok Y`c pb`y jrgjfdt, enjfdy ok hnnti`bb.Lnegt, Ogtgo `ok [`ruo pb`y jrgjfdt, hnnti`bb `okvnbbdyi`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 l`oy 4's `rd tedrd go ted mgvdo sdrgds nh wegjegs glldkg`tdby prdjdkdk iy `o dvdo oulidr `okglldkg`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 '+' ld`os 'ý', '‚' ld`os 'Ý', 'ý' ld`os '+' `ok 'Ý'ld`os '‚', 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
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:= te GLN - Zdt @
00. Hgvd hrgdoks @seu, @oky, Lnou, Znou `ok 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 b`omu`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 `okZnute-D`st nh @ ok K gs tn ted Onrte nh J go bgod wgteI `ok @. 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
"Xdmdt`ibd, Hrugt, Ynttdo" >
@.
I.
J.
K.
08. @rr`omd ted hnbbnwgom wnrks go ted `bpe`idtgj`b nrkdr`s `rr`omdk go kgjtgno`ry `ok 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 `ok Z jnosgsts nh ` prnibdl sdt.[edrd gs ` kd ogtd rdb`tgnosegp idtwddo murds Q `okP. Dst`ibgse ` sglgb`r rdb`tgnosegp idtwddo Hgmurd Y`ok Z iy sdbdjtgom ` sugt`ibd murd hrnl ted nptgnoste`t wnubk rdpb`jd (>) go murd Z.
@.
I.
J.
K.
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; = te GLN - Zdt @
91. Go ted mgvdo qudstgno ` pgdjd nh seddt gs hnbkdk `okjut `ok 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 `ok ∡ 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 `ok
suitr`jtgno. I. Jnllut`tgvd prnpdrty enbks go `kkgtgno iut ont
go suitr`jtgno. J. @ssnjg`tgvd prnpdrty enbks inte go `kkgtgno `ok
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. J`o'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 l`oy lnrd tglds ted weddb lustmn rnuok>
@. 9;
I. 091 J. 094 K. :1
9=. Lnegt spdoks a = x ‚ ; hnr ` segrt `ok 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 ld`o `ok ldkg`o 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:
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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 l`oy 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 `ok 7. Gh gt gs ternwo, ted prni`igbgty nhmdttgom
:;. ` 0 gs ^^^^^^^^^
@.94
I.0
8 J.
09
K. :4
:4. `o 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
:=. @ iusgodssl`o 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 `ok 71 jlrdspdjtgvdby. @t we`t kgst`ojd 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 `ok 8 tn Lddo`. ]e`t hr`jtgnos nh ted p`jfdtkgk ed mgvd tn F`rtgf `ok Lddo` >
@. :01
I. ;4
J.7
01 K. 0
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8 = te GLN - Zdt @
;1. 91% nh ted stukdots wdrd `isdot go `o 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. @ l`o 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 r`oknl. [ed prni`igbgty 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 l`oy 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``o 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 %
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== te GLN - Zdt @
;7. Gh ted 9 uogt juids l`rfdk 'U' `rd rdlnvdk hrnl tedsnbgk, wegje snbgk wgbb id nit`godk>
@.
I.
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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
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=te
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9 = te GLN - Zdt I
0. [ed pnsgtgnos nh enw l`oy bdttdrs go ted wnrk]NOKDYHTB wgbb rdl`go uoje`omdk wedo tedbdttdrs wgtego ted wnrk `rd `rr`omdk `bpe`idtgj`bby>
@. Onod
I. Nod J. [wn K. [erdd
9. Zdbdjt ` murd hrnl ted nptgnos wegje wgbb jnotgoudted s`ld sdrgds `s dst`ibgsedk iy ted vd prnibdl
murds.
@.
I.
J.
K.
:. Y`eub tnbk @o`ok, "Wdstdrk`y G kdhd`tdk ted noby irntedr nh ted k`umetdr nh ly mr`oklntedr." ]enlkgk Y`eub 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 '‚' st`oks hnr 'kgvgsgno', '+' hnr 'lubtgpbgj`tgno', ' ý 'hnr 'suitr`jtgno' `ok '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. Dst`ibgse sglgb`r rdb`tgnosegp idtwddo murds: `ok ; iy sdbdjtgom ` sugt`ibd 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
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@.
G GG
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J.
G GG
K.G GG
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:= te GLN - Zdt I
5. Zdbdjt ted jnrrdjt lgrrnr gl`md nh Hgmurd (U).
Hgmurd (U)
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7. Go `o gl`mgo`ry b`omu`md, ted kgmgts 1, 0, 9, :, ;, 4,8, =, 5 `ok 7 `rd suistgtutdk iy `, i, j, k, d, h, m, e,g `ok 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 dst`ibgsedk iy ted hnur prnibdl
murds.
>
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00. Go ` jdrt`go jnkd b`omu`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.
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0:. Hgok ted lgssgom je`r`jtdr go ted oulidr p`ttdromgvdo idbnw.
08 0
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>
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0;. Go ted hnbbnwgom qudstgno, ok nut wegje nh ted nptgnosjnlpbdtds ted murd l`trgx>
Hgmurd (U)
>
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; = 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 l`oodr 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
@.
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08. Ztuky ted hnbbnwgom `rr`omdldot nh bdttdrs, kgmgts oksylinbs tn `oswdr 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 `ok 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)>
@.
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07. ]egje nh ted hnbbnwgom st`tdldots gs jnrrdjt wgterdspdjt tn ted mgvdo murd>
HJ
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D
@. @ `ok 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 dst`ibgsedk iy ted vd
prnibdl murds.
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4= te GLN - Zdt I
L@[EDL@[GJ@B YD@ZNOGOM
90. [ed mgvdo i`r mr`pe senws edgmets nh sdbdjtdk b`fds.Hgok ted kghhdrdojd go dbdv`tgno hnr B`fd D `okB`fd J.
1
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J. 41; K. 879
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0;
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9:. Go ted hgmurd, @IJK gs ` rdjt`omb d, K JDH gs `odqugb`tdr`b trg`ombd. Hgok x.
@. 94³ I. :1³ J. 91³ K. 41±
9;. Znbvd hnr x 304
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@. @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 `ombds x `ok y rdspdjtgvdby go ted mgvdomurd.
I
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9=. ]egje nh ted hnbbnwgom sul gs go ted sglpbdsthnrl>
@.
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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 `o dqugb`tdr`b trg`ombd,PYXT gs ` squ`rd `ok YZ[T gs ` renlius. Hgok ted
pdrgldtdr, go jl, nh ted wenbd kg`mr`l.
Z
[
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Q; jl
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@. 0=I. 90
J. 98 K. 9=
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8 = te GLN - Zdt I
:1. ;1% nh 08;1 + > < :4% nh 751 + 041% nh 541
@. :=9I. 5;9
J. 789K. 0149
:0. Hnrl `o dqu`tgno nh ted hnrl `x + i < j , wedrd ` ,i `ok j `rd jnost`ots, 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 `ok∡ 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
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:+ < 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
DXDYWK@W L@[EDL@[GJZ
:8. @ l`o iuys `o `rtgjbd hnr a 9=.41 `ok 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 l`oy 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 te`o 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 `ok 09 sdjnoks rdspdjtgvdby. Go :1lgoutds, enw l`oy tglds kn tedy tnbb tnmdtedr>
@. 0; tglds I. 05 tglds J. 08 tglds K. 04 tglds
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== te GLN - Zdt I
;9. [ed prgjd nh ` t`ibd gs a 011 bdss te`o 8 tglds ted prgjdnh ` je`gr. @ sglgb`r sdt nh nod t`ibd `ok ; 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
;:. @ rdjt`omub`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 `ok 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 `o dqu`b oulidr nh nod rupdds, 41 p`gsd `ok 94 p`gsd jngos rdspdjtgvdby. Gh ted tnt`b v`budgs a :4, enw l`oy jngos nh d`je typd `rd tedrd>
@. 91 I. 04 J. 94 K. 05
;4. @ j`r gs lnvgom `t `o `vdr`md spddk nh :07
fl/er.
Enw luje kgst`ojd 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 ` rdjt`ombd. ]egje rdjt`ombd, @,I, J nr K, e`s ` se`kdk `rd` wegje gs ted s`ld `sted se`kdk `rd` go kg`mr`l> ([ed bdomte `ok ird`ktenh rdjt`ombd QP[T `ok d`je nh ted rdjt`ombds @, I,J `ok K `rd ted s`ld).
Q
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;=. Go ted mgvdo qudstgno, ` qudstgno gs `sfdk `ok gshnbbnwdk iy terdd st`tdldots. ]egbd `oswdrgom tedqudstgno, ynu l`y nr l`y ont rdqugrd ted k`t` prnvgkdkgo `bb ted st`tdldots. Wnu e`vd tn rd`k, ted qudstgno`ok ted terdd st`tdldots `ok tedo kdjgkd wedtedr tedqudstgno j`o id `oswdrdk wgte `oy nod nr twn nh tedst`tdldots nr `bb ted terdd st`tdldots `rd rdqugrdk tn`oswdr 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 `ok GGG noby I. GG `ok GGG noby J. G `ok GG noby K. @oy twn nh ted terdd
;5. Lrs. F`pnnr e`s jdrt`go sul nh lnody tn iuy hrugts.Zed j`o iuy o l`omnds `t a 0.81 d`je `ok e`vda 1.51 bdht. @btdro`tgvdby, sed j`o iuy ( o + 01) `ppbds
`ta
1.=1 d`je `ok e`vda
1.01 bdht.Gh Lrs. F`pnnr iuys : l`omnds `ok 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
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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. [rg`omub`r Qyr`lgk ; 8 ; K. Juingk 8 09 5
41. Zt`tdldot G 3 Gh hnur qu`otgtgds `, i, j `ok k `rd sujete`t ted r`tgn ` 3 i gs dqu`b tn ted r`tgn j 3 k , tedo wds`y `, i, j `ok k `rd go r`tgn `ok ` 3i 3j 3k .Zt`tdldot GG 3 Gh` 3 i < 4 3 7 `ok i 3 j < ; 3 =,tedo ` 3 i 3 j < 91 3 :8 3 8:.
@. Inte st`tdldots G `ok GG `rd trud. I. Zt`tdldot G gs trud `ok st`tdldot GG gs h`bsd. J. Zt`tdldot G gs h`bsd `ok st`tdldot GG gs trud.
K. Inte st`tdldots G `ok GG `rd h`bsd.
ZQ@JD HNY YNTME ]NYF
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Wd`r 910;
5 te
Jb`ss =
ZD[ @
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5 te GLN - ZD[ @ 0
0. Hgok ted lgssgom murd go ted mgvdo p`ttdro.
>
@. I.
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> Q
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@. Z I. [ J. T K. Y
:. Gh @rl``o 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
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9==9
99098
>
0;;08
@. 0:1; I. 9:1; J. 91:; K. 01:;
4. @rr`omd ted mgvdo idbnw wnrks go ted nrkdr `s go `kgjtgno`ry.
(g) Ldrjury (gg) Zenwrnnl (ggg) Ygjd (gv) Qdtrnb (v) Nr`omds @. (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 trg`ombdsgo ted mgvdo murd.
@. 99 I. 91 J. 07 K. 90
7. ]egje nh ted hnbbnwgom nptgnos idst kdpgjts ted mgvdo Xdookg`mr`l>
@. Qb`ots, @ogl`bs, Hbnwdrs I. Qdojgb, Dr`sdr, Qdo J. [ny j`rs, [nys, Qb`stgj nicdjts K. I`sfdti`bb pb`ydrs, Hdl`bds, Zpnrtsl`o
BNMGJ@B YD@ZNOGOM
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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. J`o't id kdtdrlgodk
00. Ztuky ted mgvdo `rr`omdldot `ok 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 `ok oulidrs `rd gotdrje`omdk sdrg`bby`s tedy `ppd`r go ted `rr`omdldot suje `s ← wgte 9, *wgte 0, A wgte : `ok 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 `rr`omdldot>
@. 5 I. $ J. ; K. #
09. Gh ―+‗ st`oks hnr ―Ý‗, ―‚‗ st`oks hnr ―ý‗, ―Ý‗ st`okshnr ―‚‗,ý st`oks hnr ―+‗, tedo v`bud nh Q gs . 8 ‚ 9 + 5 Ý 09 ý : ? Q
@. 04 I. 05 J. 90
K. 0;
0:. Y`eub tnbk @o`ok, "Wdstdrk`y G kdhd`tdk ted noby irntedr nh ted k`umetdr nh ly mr`oklntedr." ]enlkgk Y`eub kdhd`t>
@. Zno I. H`tedr J. Irntedr K. H`tedr-go-b`w
0;. Q, P, Y, Z, [, X `ok ] `rd sgttgom `rnuok ` jgrjbdh`jgom `t ted jdotrd. X gs sdjnok tn ted bdht nh Q`ok sdjnok tn ted rgmet nh ]. [ gs tegrk tn ted rgmetnh P `ok gs ont `o 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 `ok ted sdjnok pdrsnos>
@. YQP I. []Z J. PQY K. Q[Y
04. @ pgdjd nh p`pdr gs hnbkdk go suje ` l`oodr `s senwo`ok puojedk. Zdbdjt ted uohnbkdk hnrl nh pgdjd nh
p`pdr.
@. I.
J. K.
L@[EDL@[GJ@B YD@ZNOGOM
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:
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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 trg`omb ds QP Y `ok BLO , QP < PY ,∡ Q < ∡ L `ok PY < BO , tedo wegje nh ted hnbbnwgomgs trud>@. [rg`ombds `rd jnomrudot noby
I. [rg`ombds `rd gsnsjdbds noby J. [rg`ombds `rd inte jnomrudot `ok gsnsjdbds K. Onod nh tedsd
9;. [ed ld`o 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 `ok `oswdr 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 te`o (‚7) ‚ (‚9).
]egje nh ted hnbbnwgom st`tdldots gs/`rd jnrrdjt> @. Noby (g) I. Inte (g) `ok (gv) J. Noby (gv) K. Inte (g) `ok (ggg)
98. [ed terdd sj`bds idbnw `rd pdrhdjtby i`b`ojdk gh• < :. ]e`t `rd ted v`buds nh
K `ok * rdspdjtgvdby>
(g) * * * * *
(gg) * *
(ggg) * * *
@. ;, = I. 8, : J. =, ; K. :, 8
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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 trg`ombds`rd dqugb`tdr`b `ok QP < 09 uogts.Ntedr trg`ombds 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. @ l`o tr`vdbbdk twn hte nh egs cnurody iy tr`go, nodtegrk iy ius, nod-hnurte iy j`r `ok 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 stukdotsj`o 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 `ok N st`oks hnr @ppbd, I`o`o`,Mr`pds, L`omn `ok Nr`omd rdspdjtgvdby.]egje twn hrugts `rd bgfdk iy `o dqu`b oulidr nhstukdots>
@. @ `ok L I. L `ok I J. I `ok N K. I `ok 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 l`oy
p`jfdts wnubk ed mdt> @. 04 I. 09 J. 7 K. 94
DXDYWK@W L@[EDL@[GJZ
:=. 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
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5 te GLN - ZD[ @ 4
:5. M`rgl` jnbbdjtdk ted k`t` rdm`rkgom wdgmets nhstukdots nh edr jb`ss `ok prdp`rdk ted hnbbnwgomt`ibd3
]dgmet (go fm) ;;-;7 41-44 48-80 89-8=
Oulidr nh stukdots 5 04 94 0=
@ stukdot gs tn id sdbdjtdk r`oknlby hrnl edr jb`sshnr snld jnlpdtgtgno. [ed prni`igbgty 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 `oknvdr-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 `ok 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
`ok 9;:;
bgtrds nh cugjd no [udsk`y. Enw l`oy 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 `okkdjrd`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 v`o 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 teddotr`ojd 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 te`o
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
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5 te GLN - ZD[ @8
;5. [edrd `rd hnur jnot`godrs te`t `rd `rr`omdk 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 `ok 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 ib`ofs.@ ^^^ Q^^ gs pdrhdjtby str`gmet `ok 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 Qb`od Y`y I. Bgod Qb`od Zdmldot J. Bgod Y`y Qb`od K. Y`y Zdmldot Qb`od
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 `ok r , tedo wd e`vd p * (q + r ) < ( p * q) + ( p * r )
@. Zt`tdldot 0 gs trud `ok st`tdldot 9 gs h`bsd. I. Zt`tdldot 0 gs h`bsd `ok st`tdldot 9 gs trud. J. Inte st`tdldots 0 `ok 9 `rd trud.
K. Inte st`tdldots 0 `ok 9 `rd h`bsd.
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Wd`r 910;
5 te
Jb`ss =
ZD[ I
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5 te GLN - ZD[ I9
0. @ gs h`tedr nh U6 I gs lntedr nh W. Zgstdr nh U `ok 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 k`umetdr.
9. Zdvdo hrgdoks Q, P, Y, Z, [, T `ok X `rd st`okgomgo ` bgod, h`jgom m`rkdo. [ gs snldwedrd `ed`k nhT. [edrd gs dx`jtby nod pdrsno st`okgom idtwddoY `ok X. Z gs glldkg`tdby idegok Q. T gs idegok
in te P `o k Z. Gh Z `o k Y `r d hnu rt e `o 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 `rr`omdk `jjnrkgomby tn hnrl ` ld`ogomhub 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 l`oy 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.
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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 e`ok pngots tnw`rks Onrte-D`st. Go wegje kgrdj tgno kndsgts enur e`ok 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 l`oodr 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 `ok 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, [rg`ombd">
@.
I.
J.
K.
0;. Gh 'Q' ld`os '+', 'P' ld`os 'Ý', 'Y' ld`os ' ý' `ok'Z' ld`os '‚', tedo 50 Y : Z 04 Q 4 P 1 gs ^^^^^.
@. Dqu`b tn 1
I. Bdss te`o ‚0 J. Mrd`tdr te`o 9 K. Bdss te`o 1
04. Jnuot ted oulidr nh squ`rdsgo ted mgvdo murd.
@. 81
I. 88
J. 48 K. :8
L@[EDL@[GJ@B YD@ZNOGOM
08. Zglpbghy 3
V04 ý : + 01{81 ‚ 5 ý ; + :(4 nh : ‚ =)}\
@. ‚91
I. ‚04
J. 09 K. 08
0=. @rr`omd 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
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5 te GLN - ZD[ I;
05. Hgok ted v`buds nh Q , P `ok 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 l`oy 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 `o 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 `okB`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 te`o inte ted gotdmdrs.
I. Gotdmdrs `rd ont jbnsdk uokdr lubtgpbgj`tgno.
J. 77 Ý 010 j`o id wrgttdo `s (011 ‚ 0) Ý (011 + 0). K. ]edo wd je`omd 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 r`oknlby, we`t gs ted prni`igbgty 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± `ok ` < (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±
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5 te GLN - ZD[ I 4
DXDYWK@W L@[EDL@[GJZ
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 pb`ots, trdds`ok `ogl`bs. [edy l`rfdk snld b`ok hnr tedgr pdts(jnw `ok nx) `ok pb`ots. Hgok ted r`tgn nh ted `rd`sfdpt hnr `ogl`bs `ok pb`ots 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 j`o 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[>
@. Ld`o, Ldkg`o `ok Lnkd l`y id s`ld hnr snldk`t`.
I. [ed prni`igbgty nh mdttgom `o `jd nut nh ` kdjf nhj`rks gs bdss te`o 0.
J. Ld`o nh ted k`t` gs `bw`ys hrnl ted mgvdo k`t`. K. Ldkg`o 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 pb`odt w`s kgsjnvdrdk wensd kg`ldtdr gs 4/;:nh ted kg`ldtdr nh D`rte. Hgok ted r`kgus nh tegs
pb`odt (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 r`omd nh ted mgvdo k`t`. i. [ed ldkg`o 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`b`ojdk gh < 4. ]e`t `rd ted v`buds nh K `ok ◎ rdspdjtgvdby>
(g)
(gg)
(ggg)
@. 5.=4, :.=4 I. ;.94, 4.=4 J. 7.94, 4.44
K. 9.09, ;.=9
:8. @ lgbfl`o iuys lgbf `t a =, a 5 `ok 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 `ok terdd pdojgbs jnst a 58. Hnur pdos `ok` pdojgb jnst a 009. Hgok ted jnst nh ` pdo `ok 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 te`o Y`eub 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
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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 tr`os`jtgnos kurgom ted lnote. Enw lujelnody gs go ynur `jjnuot `htdr tedsd tr`os`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 ` l`o st`rts hrnl 41 l `invdted 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 l`oy
p`ttdros j`o B`tgf` l`fd hrnl ` pgdjd nh jbnte ;70:
lbnom>
@. ; I. 4 J. :
K. 8;9. Go ` sjennb, noby 9 nut nh 4 stukdots j`o p`rtgjgp`td
go ` qugz. ]e`t gs ted je`ojd te`t ` stukdot pgjfdk`t r`oknl 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 `ok terdd tglds Ygy`'s l`rfsl`fd :91. Enw l`oy l`rfs Qrgy` nit`godk>
@. :; I. 71 J. 51 K. ;1
;;. M`rgl` `ok Lnegt kdpnsgtdk a :111 `ok a ;111 go` jnlp`oy `t ted r`td nh 01% pdr `ooul hnr : yd`rs
`ok 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 t`ibds wdrd inumet `t ted r`tdnh a ;11 pdr t`ibd. [ed senpfddpdr snbk 05 nh tedl`t ted r`td nh a 811 pdr t`ibd `ok ted rdl`gogom `t tedr`td nh a 411 pdr t`ibd. 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 `ok 9 ok prgzds `rd wnrte a 9411`ok 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 `ok e `rd suppbdldot`ry `ombds.Zt`tdldot-GG 3 j `ok m `rd dqu`b `ombds.
@ I
J K
`
j
k
d
h
i
m e
b
@. Inte st`tdldot-G `ok st`tdldot-GG `rd trud. I. Zt`tdldot-G gs trud `ok st`tdldot-GG gs h`bsd. J. Zt`tdldot-G gs h`bsd `ok st`tdldot-GG gs trud. K. Inte st`tdldot-G `ok st`tdldot-GG `rd h`bsd.
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5 te GLN - ZD[ I =
ZQ@JD HNY YNTME ]NYF
;5. L`tje ted hnbbnwgom. Jnbulo-G Jnbulo-GG
(g)9
:
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i
j
k ý (`) ‚0
(gg)`
i
j
k
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· 0
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ij
(ggg):
9
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i
j
k ý ·
(j)
ij
`k :
(gv)`
i
`
iý · (k)
8`k
ij
(v)i
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(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 ‚ :
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@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)