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Dmpyrjebt © <>85-82 Ujosphra Joomvhtjmos Joomvhtjmos Fchrojoe ^vt. Ft`. Hff rjebts rcscrvc`.
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Dmpyrjebt © <>85-82 Ujosphra Joomvhtjmos Joomvhtjmos Fchrojoe ^vt. Ft`. Hff rjebts rcscrvc`.
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8
‒h‚ ho` l js shkc hs rcpchtc` ‒l‚ gmr ‖h‛ ouklcr mg tjkcs. Pmem mem9 Zcs Dhpthj thjo! Uby `mo't mo't ymu tcst cst kc= h)
3Õ5
3 ; ]]]]]]]]]]]] tjkcs 5+5+5+5+5 ; ]]]]]]]]]]]]]]]]]]]]]]]]]] ]]]]]]]]]]]]]]]]]]]]]]]]]]
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c)
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kuftjpfjdhtjmo= Dhpthjo Tphra9 Zcs ky lmy! Fct us try! h) <2 + <2 + <2
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Dmpyrjebt © <>85-82 Ujosphra Joomvhtjmos Fchrojoe ^vt. Ft`. Hff rjebts rcscrvc`.
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\mxy lmuebt kuftjpfc pjzzhs gmr h phrtjcs mo chdb mg tbc wcca `hys. \cpr \cprcs csco cott tbc tbc pjzz pjzzhs hs hs kuft kuftjp jpfj fjdh dhtj tjmo mo..
3
Dmpyrjebt © <>85-82 Ujosphra Joomvhtjmos Joomvhtjmos Fchrojoe ^vt. Ft`. Hff rjebts rcscrvc`.
h)
Kmo`hy
; l)
d)
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c)
4
Õ
Pucs`hy
;
Õ
;
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;
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Uc`ocs`hy
Pburs`hy
Grj`hy
;
Õ
7
Dmpyrjebt © <>85-82 Ujosphra Joomvhtjmos Joomvhtjmos Fchrojoe ^vt. Ft`. Hff rjebts rcscrvc`.
0
Pmem wcot tm hff 3 phrtjcs tbrmwo ly \mxy! Bc sjkpfy fmvcs tbcsc phrtjcs. \mxy `jvj`c` tbc pjzzhs jotm sjx sfjdcs. Fmma ht tbc sfjdcs tbht Pmem htc ho` rcp rcprcscot tbc tbck hs h prm`udt. h)
l)
d)
Kmo`hy
;
Õ
;
Õ
Pucs`hy
Uc`ocs`hy
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Pburs`hy
;
Õ
5
Dmpyrjebt © <>85-82 Ujosphra Joomvhtjmos Joomvhtjmos Fchrojoe ^vt. Ft`. Hff rjebts rcscrvc`.
c)
Grj`hy
Õ
; 3
\mxy whots tm gjo` mut bmw kudb mg h pjzzh `m kuftjp tjpfc sfjdcs rcprcscot. Bcfp Bcfp bcr! bcr! h)
Jg h pjzzh bhs lcco dut jotm sjx sfjdcs, wbht grhdtjmo mg pjzzh `mcs `mcs h sfjd sfjdc c rcpr rcprcs csco cot= t=
;
8 sfjdc mg pjzzh
;
l) Ubht wmuf` < sfjdcs mg pjzzh lc cquhf tm=
;
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^jzzh
d) Ubht wmuf` 4 sfjdcs mg pjzzh lc cquhf tm=
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Dmpyrjebt © <>85-82 Ujosphra Joomvhtjmos Joomvhtjmos Fchrojoe ^vt. Ft`. Hff rjebts rcscrvc`.
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;
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;
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\mxy omw whots tm dmovcrt kuftjpfc mg grhdtjmos tm h sjoefc grhdtjmo mg h
7
pjzz pjzzh h usjo usjoe e rcp rcpchtc chtc` ` h``j h``jtj tjmo mo.. Bcfp cfp bcr! bcr! h) ;
Õ
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;
+
+
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^jzzh
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Dmpyrjebt © <>85-82 Ujosphra Joomvhtjmos Joomvhtjmos Fchrojoe ^vt. Ft`. Hff rjebts rcscrvc`.
\mxy js rchffy dmodcroc` hlmut Pmem‚s pjzzh dmosukptjmo `urjoe tbc
5
phrtjcs. Tbc whots tm gjo` mut wbht grhdtjmo mg pjzzh tbht Pmem dmos dmosuk ukcs cs.. Gj Gjo` o` mut! mut! h)
Kmo`hy ;
Õ
;
Õ
^jzzh mo Kmo`hy
Pmem htc l)
Pucs`hy ;
Õ
;
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Pmem htc d)
^jzzh
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^jzzh mo Pucs`hy
Uc`ocs`hy ;
Õ
;
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^jzzh
88
Dmpyrjebt © <>85-82 Ujosphra Joomvhtjmos Fchrojoe ^vt. Ft`. Hff rjebts rcscrvc`.
Pmem htc
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^jzzh mo Uc`ocs`hy
Pburs`hy ;
Õ
;
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Pmem htc c)
^jzzh
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Grj`hy ;
Õ
;
Õ
Pmem htc
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Dmpyrjebt © <>85-82 Ujosphra Joomvhtjmos Joomvhtjmos Fchrojoe ^vt. Ft`. Hff rjebts rcscrvc`.
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Pmem bhs h lhr mg dbmdmfhtc wjtb 2 pjcdcs hs sbmwo lcfmw9-
2
h)
Ubht grhdtjmo mg tbc tmthf dbmdmfhtc js tbc moc pjcdc=
l)
Ymbh Ymbh emt 4 pjcdcs pjcdcs mg dbmdmfh dbmdmfhtc tc grmk Pmem. Pmem. Gjo` Gjo` mut wbht wbht grhdtj grhdtjmo mo mg tbc dbmdmfhtc Ymbh bh`, ly sbh`joe tbc dbmdmfhtc lcfmw.
d)
Gjo` Ymbh Gjo` Ymbh‚s ‚s sbhrc sbhrc usjoe usjoe h``jtjmo. Ymbh‚s Ymbh‚s sbhrc sbhrc ;
`)
Gjo` Ymbh‚s sbhrc usjoe kuftjpfjdhtjmo. kuftjpfjdhtjmo. Ymbh‚s Ymbh‚s sbhrc sbhrc ;
c)
@mrh @mrh emt emt 3 pjcd pjcdcs cs mg dbmd dbmdmf mfht htc. c. Ubht bht js @mrh @mrh‚s ‚s sbhr sbhrc= c= Gj Gjo` o` mut ly sbh`joe tbc dbmdmfhtc lcfmw.
g)
Gjo` Ymbh Gjo` Ymbh‚s ‚s sbhr sbhrc c usjoe h``jtjmo. Ymbh‚s Ymbh‚s sbhrc sbhrc ;
e)
Gjo` Ymbh‚s sbhrc usjoe kuftjpfjdhtjmo. kuftjpfjdhtjmo. Ymbh‚s Ymbh‚s sbhrc sbhrc ;
84
Dmpyrjebt © <>85-82 Ujosphra Joomvhtjmos Fchrojoe ^vt. Ft`. Hff rjebts rcscrvc`.
Jt js Pmem‚s ljrtb`hy! Fct us dcfclrhtc bjs ljrtb`hy ly mr`crjoe h lfhda
:
gmrcst dhac! Hgtcr dhac bhs lcco `jvj`c` jotm 2 sfjdcs9
h)
Ubht Ubht grhdtj grhdtjmo mo mg mg tbc tbc tmthf tmthf dhac dhac js 8 sfjdc= sfjdc=
l)
4 sfjdcs sfjdcs mg tbc dhac dhac wcot tm tbc tbc Lhklmm Lhklmm Lmys Lmys ( Pbcy hrc hrc trjpfcts trjpfcts ). Tbmw Tbmw tbjs ly sbh`joe tbc `jherhk lcfmw94
Õ
;
d)
Gjo` mut tbc tmthf sbhrc mg tbc Lhklmm Lmys usjoe h``jtjmo. h``jtjmo. Tbhrc ;
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Gjo` mut tbc tbc tmthf sbhrc mg tbc Lhklmm Lhklmm Lmys Lmys usjoe usjoe kuftjpfjdhtjm kuftjpfjdhtjmo. o. Tbhrc ;
c)
Pbc Phoem Phoem Pwjos Pwjos tmma tmma 8 sfjdc sfjdc chdb. chdb. Gjo` mut mut tbcjr tbcjr sbhrc sbhrc ly sbh`jo sbh`joe e tbc gjeurc lcfmw9<
8>
Õ
;
g)
Gjo` mut tbc tmthf sbhrc mg tbc Phoem Pwjos usjoe h``jtjmo. h``jtjmo. Tbhrc ;
e)
Gjo` mut tbc tbc tmthf tmthf sbhrc sbhrc mg tbc Phoem Pwjos usjoe kuftjpfjdhtjmo. kuftjpfjdhtjmo. Tbhrc ; Dhpthjo Tphra! Ubco wc kuftjpfy h grhdtjmo ly h wbmfc ouklcr , jt js shkc hs h``joe jt rcpchtc`fy. Pmem9 Js tbht wby mofy tbc oukcrhtmr js kuftjpfjc`= Dhpthjo Tphra9 Cxhdtfy. Gjo` mut tbc gmffmwjoe980
Dmpyrjebt © <>85-82 Ujosphra Joomvhtjmos Fchrojoe ^vt. Ft`. Hff rjebts rcscrvc`.
h)
8
8
8 Õ
0
+
+
Ssjoe h``jtjm tjmo ;
8>
8>
8>
8
;
8
+
8
8 +
8> +
8
8> +
8
8> 0 ; 8> 8Õ0
8 Õ
Ssjo Ss joe e kuft kuftjp jpfj fjdh dhtj tjmo mo ;
0
; 8>
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8 Õ
7
Ssjoe h``jtjm tjmo ;
5
Ssjo Ss joe e kuft kuftjp jpfj fjdh dhtj tjmo mo ;
83
Dmpyrjebt © <>85-82 Ujosphra Joomvhtjmos Joomvhtjmos Fchrojoe ^vt. Ft`. Hff rjebts rcscrvc`.
d)
8 Õ
4
Ssjoe h``jtjm tjmo ;
84
Ssjo Ss joe e kuft kuftjp jpfj fjdh dhtj tjmo mo ;
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8 Õ
3
Ssjoe h``jtjm tjmo ;
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Ssjo Ss joe e kuft kuftjp jpfj fjdh dhtj tjmo mo ;
87
Dmpyrjebt © <>85-82 Ujosphra Joomvhtjmos Joomvhtjmos Fchrojoe ^vt. Ft`. Hff rjebts rcscrvc`.
c)
8 Õ
0
Ssjoe h``jtjm tjmo ;
:
Ssjo Ss joe e kuft kuftjp jpfj fjdh dhtj tjmo mo ;
Pmem bhs h buec dbmdmfhtc wjtb <0 pjcdcs. Bc `cdj`c` tm ejvc < pjcdcs mg
88
tbc tbc dbmd dbmdmf mfh htc tm chdb pcrsmo rsmo
h)
Bmw Bmw kud kudb b wjf wjfff chd chdb b pcr pcrsm smo o ect ect==
+
l)
;
Dbmdmfhtc
Bmw Bmw kud kudb b wjf wjfff < pcrs pcrsmo moss ect ect==
;
;
+
85
Dmpyrjebt © <>85-82 Ujosphra Joomvhtjmos Joomvhtjmos Fchrojoe ^vt. Ft`. Hff rjebts rcscrvc`.
(
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+
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+
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x ;
d)
;
Dbmdmfhtc
Bmw Bmw kudb kudb wjff wjff 4 pcrsm pcrsmos os ect= ect=
;
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4 pcrsmo wjff ect
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c)
dbmdmfhtc
Tbmw bmw bmw kudb wjff 4 pcrsmo ect, ly sbh`joe tbc dbmdmfhtc dbmdmfhtc lcfmw lcfmw
Pmem Pmem `cdj`c `cdj`css tm ejvc 4 pjcdcs pjcdcs jostc jostch` h` mg <, bmw bmw kudb wjff wjff 4 pcrsmo pcrsmoss ect=
8<
Kuftjpfjdhtjmo mg h rceufhr grhdtjmo js shkc hs kuftjpfjdhtjmo mg h uojt grhdtjmo wjtb h wbmfc ouklcr! Gjo` mut tbc gmffmwjoe prm`udts.
82
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h)
< +
88 ;
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88
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l)
4
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80 Ssjoe h``jtjmo ;
d)
3
Ssjoe kuftjpfjdhtjmo ;
x4
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x4
Ssjoe kuftjpfjdhtjmo kuftjpfjdht jmo ;
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88
x0
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Ssjoe kuftjpfjdhtjmo ;
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Fct
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8
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Bmw khoy tjkcs wjff h``
= 4
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Bmw khoy phrts wjff ymu `cdj`c chdb ouklcr jotm=
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8
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4
4
Ubht bht js tbc tbc wbmf bmfc oukl ouklc cr fhst drm drmss ssc` c`==
8
Bmw kudb kudb js tbc tbc grhdt rhdtjm jmoh ohff phrt hgtcr tcr ochr ochrc cst wbmf wbmfc c oukl ouklcr cr==
8 4
0
8 ^rm` ^rm`ud udtt ;
l)
4
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^rm` ^rm`ud udtt hs jkpr jkprmp mpcr cr grhd grhdtj tjmo mo ;
4
4
4 x4
Bmw khoy tjkcs wjff h``
= 0
0
Bmw khoy phrts wjff ymu `cdj`c chdb ouklcr jotm=
>
8
<
4
0
Ubht bht js tbc tbc wbmf bmfc oukl ouklc cr fhst drm drmss ssc` c`== Bmw kudb kudb js tbc tbc grhdt rhdtjm jmoh ohff phrt hgtcr tcr ochr ochrc cst wbmf wbmfc c oukl ouklcr cr==
^rm` ^rm`ud udtt ;
^rm` ^rm`ud udtt hs jkpr jkprmp mpcr cr grhd grhdtj tjmo mo ;
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d)
4
4
x0
Bmw khoy tjkcs wjff h``
= 3
3
Bmw khoy phrts wjff ymu `cdj`c chdb ouklcr jotm=
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8
<
4
0
3
Ubht bht js tbc tbc wbmf bmfc oukl ouklc cr fhst drm drmss ssc` c`== Bmw kudb kudb js tbc tbc grhdt rhdtjm jmoh ohff phrt hgtcr tcr ochr ochrc cst wbmf wbmfc c oukl ouklcr cr==
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3
3 x3
Bmw khoy tjkcs wjff h``
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7
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8
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4
0
3
7
Ubht bht js tbc tbc wbmf bmfc oukl ouklc cr fhst drm drmss ssc` c`== Bmw kudb kudb js tbc tbc grhdt rhdtjm jmoh ohff phrt hgtcr tcr ochr ochrc cst wbmf wbmfc c oukl ouklcr cr==
^rm` ^rm`ud udtt ;
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Gjo` tbc prm`udt mg tbc gmffmwjoe grhdtjmos wjtb wbmfc ouklcrs ho`
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7
Gjo` tbc prm`udt
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@jvj`c tbc ouklcr lhrs jotm cquhf phrts cquhf tm tbc `comkjohtmr
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jj.
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Dhpthjo Tphra usc`
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;
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;
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7
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x
7
0 Dmov Dmovcr crtt tbc tbc kjxc kjxc` ` ouk ouklc lcrr tm tm jkp jkprm rmpc pcrr grh grhdt dtjm jmo o 4
3
;
0
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4
;
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Dmpyrjebt © <>85-82 Ujosphra Joomvhtjmos Joomvhtjmos Fchrojoe ^vt. Ft`. Hff rjebts rcscrvc`.
jj. jj.
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;
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7
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jj. jj.
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jjj. jjj.
Dmov Dmovcr crtt tbc tbc rcsu rcsuft ft jot jotm m kjxc kjxc` ` ouk ouklc lcrr
0
5
x
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88 j.
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jj. jj.
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x
84
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jjj. jjj.
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8>7
Dmpyrjebt © <>85-82 Ujosphra Joomvhtjmos Joomvhtjmos Fchrojoe ^vt. Ft`. Hff rjebts rcscrvc`.
c) 3
3 x
5
: j.
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jjj. jjj.
Dmov Dmovcr crtt tbc tbc rcsu rcsuft ft jot jotm m kjxc kjxc` ` ouk ouklc lcrr
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2
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h)
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x < usjoe rcdtho thoefcs ho` trc trchtjoe tbc tbc kjxc` ouklcr
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hs h suk mg wbmfc ouklcr ho` h grhdtjmo. x <
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l) 4
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x
4
ly dmovcrtjoe tm jkprmpcr grhdtjmo
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ly wrjtjoe kjxc` grhdtjmo hs h suk mg wbmfc ouklcr ho` h prmpcr grhdtjmo
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3
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jjj.. jjj
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;
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3
x
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5 j.
3 2
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jj. jj.
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;
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:
x
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jj. jj.
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jjj. jjj.
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;
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j.
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jj. jj.
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jjj. jjj.
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;
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4
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0 4
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80
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87
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Dmpyrjebt © <>85-82 Ujosphra Joomvhtjmos Joomvhtjmos Fchrojoe ^vt. Ft`. Hff rjebts rcscrvc`.
82
Pbc rh`jus mg h djrdfc js 0 88/84 k. Ubht js tbc hrch mg tbrcc sudb djrdfcs=
8:
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Dmpyrjebt © <>85-82 Ujosphra Joomvhtjmos Joomvhtjmos Fchrojoe ^vt. Ft`. Hff rjebts rcscrvc`.
882
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h)
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8< õ 0 ; 4 !
kchos
kchos
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h)
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l)
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8< õ 0 !
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c)
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g)
Lhsc` mo mo tb tbc tw twm kc kctbm`s, 8< õ 0 ;
88:
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4.
Ssc tbc aomwfc`ec grmk `jvjsjmo mg wbmfc ouklcrs tm `jvj`c h wbmfc oukl ouklc cr ly h grhdt rhdtjjmo! mo!
h) 8
8
kchos
õ
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4 õ
l) d) 8
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! "
gjt tm khac h wbmfc =
8 õ
; 4
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8
]]]]]]== kchos9 Bmw khoy phrts mg sjzc ]]]]]] gjt tm khac up ]]]]]]
0 õ
c)
g)
8
8
õ
Bmw khoy skhff phrts khac tbc wbmfc=
;
0 e) 8 õ
8
]]]]]]== kchos9 Bmw khoy phrts mg sjzc ]]]]]] gjt tm khac up ]]]]]]
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b)
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8 j) 0.
8
õ
; 7
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h) d)
5 3 8
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l) `)
4 c)
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g)
0
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5
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Dmpyrjebt © <>85-82 Ujosphra Joomvhtjmos Joomvhtjmos Fchrojoe ^vt. Ft`. Hff rjebts rcscrvc`.
3.
Kuftjpfy tbc gmffmwjoe grhdtjmos ‐
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d)
4
80 x
5
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x 44
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l)
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84
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52
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04
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h)
3 õ 5 js tbc shkc hs 3
x
8 d)
8 õ
l)
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8
x
5 ! "
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3 õ
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x
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x
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x
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OM\KHF
5.
Urjtc tbc tbc gmffmwj gmffmwjoe oe `jvjsj `jvjsjmos mos hs `jvjs `jvjsjmos jmos mg mg grhdtjmos grhdtjmos ho` ho` kcotjmo kcotjmo ymur ymur hoswcr.
h)
õ
;
; 8 õ
;
l)
õ
;
; 8 õ
;
d)
õ
;
; 8 õ
;
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õ
;
; 8 õ
;
2.
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h)
õ
Bmw khoy grhdtjmohf phrts khac tbc wbmfc= ;
l)
õ
;
õ
;
õ
Bmw khoy grhdtjmohf phrts khac tbc wbmfc= ;
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Dmpyrjebt © <>85-82 Ujosphra Joomvhtjmos Joomvhtjmos Fchrojoe ^vt. Ft`. Hff rjebts rcscrvc`.
d) õ
Bmw khoy grhdtjmohf phrts khac tbc wbmfc= ;
õ
õ
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Bmw khoy grhdtjmohf phrts khac tbc wbmfc= ;
:.
;
õ
;
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h) 3 õ
l) 84 õ
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