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MAT Paper-1

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Vche 2 =¸ Nr/ Hmx/ Hmrks 2 =<< DEOEPMA COWVPUGVCIOW =/ Vne `iikaet dcveo co tne exmhcomtcio nmaa cs tne ]uestcio \mper/ 0/ M stufeot nms ti wrcte ncs)ner mo swers co tne IHP sneet `y fmrkeocod tne mppr iprcmte `u``ae wctn tne neap ij N@ \eogca ms tne girregt moswer.s# ij tne questcio mttehptef/ 7/ Vne quest cio pmper gi otmc os =< < que stc ios/ Emgn gmrrces ioe hmrk/ 6/ @amok pmpers! gacp `imrfs! aid tm`aes! sacfe ruae! gmaguamtirs! hi`cae ir moy itner eaegtriocg dmfdets co moy jirh cs oit maaiwef/ 5/ Trcte yiur Omhe * Piaa Oi/ co tne spmge privcfef co tne `ittih ij tncs `iikaet/ :/ Vnere cs oi oedmtcve hmrkcod/ Fi oit speof tii hugn tche io m pmrtcguamr questcio/ 4/ @ejire moswercod tne pmper! jcaa up tne requcref fetmcas co tne `amok spmge privcfef co tne moswer sneet/ >/ Co gmse ij moy fcspute! tne moswer sneet mvmcam`ae wctn tne costc tute snmaa `e jcoma/ MAA COFCM OVWE .WVMDE(CC# VEWV WEPCEW HIGK VEWV ' = GAMWW (^ HEOVMA M\VCVUFE VEWV .HMV# \GG\ Nemf Ijjcge 2 Mffress 2 Amksnym! G(>! Oursery \aits! Vmawmofc! Kitm .Pmbmstnmo#(706<<5 Vea/ Oi/ 2 +<466(0676404!>>06<4>77<! Jmx 2 <466(0604=6: | Te`scte 2 www/pggp/resiomoge/mg/co E(hmca 2 pggpLresiomoge/mg/co
Transcript
Page 1: MAT Paper-1

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Vche 2 =¸ Nr/ Hmx/ Hmrks 2 =<<

DEOEPMA COWVPUGVCIOW

=/ Vne ̀ iikaet dcveo co tne exmhcomtcio nmaa cs tne ]uestcio \mper/

0/ M stufeot nms ti wrcte ncs)ner moswers co tne IHP sneet ̀ y fmrkeocod tne mppriprcmte ̀ u``ae wctn tne neap ij

N@ \eogca ms tne girregt moswer.s# ij tne questcio mttehptef/

7/ Vne questcio pmper giotmcos =<< questcios/ Emgn gmrrces ioe hmrk/

6/ @amok pmpers! gacp `imrfs! aid tm`aes! sacfe ruae! gmaguamtirs! hi`cae ir moy itner eaegtriocg dmfdets co moy

jirh cs oit maaiwef/

5/ Trcte yiur Omhe * Piaa Oi/ co tne spmge privcfef co tne `ittih ij tncs `iikaet/

:/ Vnere cs oi oedmtcve hmrkcod/ Fi oit speof tii hugn tche io m pmrtcguamr questcio/

4/ @ejire moswercod tne pmper! jcaa up tne requcref fetmcas co tne ̀ amok spmge privcfef co tne moswer sneet/

>/ Co gmse ij moy fcspute! tne moswer sneet mvmcam`ae wctn tne costctute snmaa `e jcoma/

MAA COFCM OVWE .WVMDE(CC# VEWV WEPCEW

HIGK VEWV ' =

GAMWW (^

HEOVMA M\VCVUFE VEWV .HMV#

\GG\ Nemf Ijjcge 2

Mffress 2 Amksnym! G(>! Oursery \aits! Vmawmofc! Kitm .Pmbmstnmo#(706<<5

Vea/ Oi/ 2 +<466(0676404!>>06<4>77<! Jmx 2 <466(0604=6: | Te`scte 2 www/pggp/resiomoge/mg/co

E(hmca 2 pggpLresiomoge/mg/co

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Wpmge Jir Piudn Tirk 

HMVYOVWE WVMDE(CC HIGK VEWV \M\EP(=Y\MDE ' =

Fcregtcios 2 .= ti 5 # Vnere cs m ouh`er serces wctn ioe cteh hcsscod sniwo `y .9#/ Vncs terh cs ioe ij tne jcve

ouh`ers dcveo ̀ eaiw ct/ Jcof tncs terh jrih tne dcveo materomtcve/

=/ =! 6! =<! =3! 7=! 9

.M# 5: .@# 6: .G# 4: .F# 53

0/ 0! 5! =0! 04! 5>! 9

.M# =0= .@# =66 .G# ==4 .F# =<=

7/ =0=! ==0! =<6! 34! 3=! 9

.M# :> .@# >3 .G# >4 .F# >:

6/ =4! 0:! 74! 5<! :5! >0 9

.M# 3= .@# =0= .G# ==< .F# =<=

5/ 666! 7<<! 0<<! =7:! =<<! 9

.M# >: .@# 3: .G# >6 .F# 3<

Fcregtcios .: ti ==# 2 Wcx wirfs co Eodacsn gmpctma aetters mof ti tne rcdnt tnecr gifes co Eodacsn shmaa aetters mre

dcveo/ @ut tne shmaa aetters fi oit mppemr co tne smhe irfer ms tne gmpctma aetters co tne wirf/ Uoferstmoftne gife jir emgn aetter mof jcof iut tne gife jir wirfs/

GNMCO ‗ qvhgm

PMCA ‗ amqo

VCO ‗ mbg

GPMOE ‗ ohwqg

PIWE ‗ xdow

WIO ‗ xgd

:/ WEMV

.M# xbwq .@# qgwx .G# xwqb .F# wbqx

4/ WICA.M# wdoa .@# xdma .G# mdxa .F# dwma

>/ GAIWE

.M# whxda .@# dahwx .G# hadxw .F# xdawh

3/ PIAE

.M# awdo .@# wdoa .G# owad .F# odaw

=</ OEWV

.M# gwxa .@# bwgx .G# gwxb .F# xbwg

==/ VPMCO

.M# boqmg .@# bqomg .G# bgomq .F# bmogq

HMV \M\EP

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Wpmge Jir Piudn Tirk 

HMVYOVWE WVMDE(CC HIGK VEWV \M\EP(=Y\MDE ' 0

Fcregtcios .=0 ti =4# 2 Vne ouh`ers co tne jcdure)trcmodae)gcrgae mre jcaaef io tne ̀ mscs ij sihe ruae/ Vnere cs ̀ amok

spmge ms sniwo ̀ y .9#/ Jcof iut tne girregt ouh`er jrih tne dcveo materomtcves ti jcaa co tne ̀ amok spmge/

=0/

5

0>0 7

6

:

97 6

4

.M# :: .@# 6> .G# 7< .F# :<

=7/<> :

==

7

 0=: >

00

6

 9== 3

0>

5

.M# =0 .@# =7 .G# =6 .F# =5

=6/=: 0

5

6

7:7 5

:

>

90 6

4

3

.M# :6 .@# =<< .G# =66 .F# =0=

=5/

:5 75

0>60

6<

53 74

07=3

0<

0: 60

7<=5

9

.M# =< .@# 7< .G# :< .F# :=

=:/

90

6

:5

=>

.M# 7< .@# 7: .G# 73 .F# 75

=4/

0 57:

64

: 36:

57

=< 7

945

.M# :: .@# 5< .G# 5: .F# :<

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Wpmge Jir Piudn Tirk 

HMVYOVWE WVMDE(CC HIGK VEWV \M\EP(=Y\MDE ' 7

Fcregtcios .=> ti =3# 2 Vnere cs sihe reamtciosncp `etweeo tne twi jcdure io tne aejt ij tne scdo .2 2#/ Vne smhe

reamtciosncp excsts `etweeo tne twi jcdure io tne rcdnt ij tne scdo! ij wncgn ioe cs hcsscod/ Jcof tne

hcsscod ioe jrih tne dcveo 6 materomtcves/

=>/ 2 2 2 2 9

.M# .@# .G# .F#

=3/ 2 2 2 2 9

.M# .@# .G# .F#

Fcregtcios .0< ‗ 05# 2 Uoferstmof tne jiaaiwcod jiur aetter serces gmrejuaay/

.Werces#

.M# MSR! @^S! GT^! FZT .@# @GW! JFP! BE]! OJ\

.G# \MK! HFA! BDH! DBO .F# GNH! FCO! EBI! JK\

M terh cs dcveo wncgn ̀ eaiods ti ioe ij tne m`ive serces/ Jcof iut ti wncgn serces ct ̀ eaiods mof cofcgmte

cts ouh`er co tne moswer sneet/

0</ SM@

0=/ PDI

00/ M\\

07/ JVU

06/ DA]

05/ RCH

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Wpmge Jir Piudn Tirk 

HMVYOVWE WVMDE(CC HIGK VEWV \M\EP(=Y\MDE ' 6

Fcregtcios .0: ti 0># Exmhcoe tne jiaaiwcod aetter(ouh`er serces/ @msef io tncs! jcof iut tne moswers jir ques(

tcios 0:  ‗ 0>/

J : R 4 = V 7 U ^ P 5 3 \ 6 @ M 4 > F 6 : J D N 0 \ 7 ] P 0

0:/ Niw hmoy aetters .M# mof niw hmoy ouh`ers .O# mre tnere co tne serces 9

.M# M(=>! O(=: .@# M(=:! O(=> .G# M(=:! O(=6 .F# M(=>! O(=6

04/ Niw hmoy aetters mre tnere co tne serces wncgn mre chhefcmteay pregefef ms weaa ms chhefcmteay jiaaiwef

`y m ouh`er 9

.M# 5 .@# : .G# 4 .F# 7

0>/ Tncgn ij tne jiaaiwcod cs exmgtay co tne hcffae ̀ etweeo tne >tn aetter)ouh`er jrih tne aejt eof mof tne 3 tn

aetter)ouh`er jrih tne rcdnt eof ij tne dcveo sequeoge 9

.M# \ .@# @ .G# 3 .F# 6

03/ Cj „TMVEP– cs gifef ms „ZRWF]– tneo „JPEERE– gmo `e gifef ms

.M# \]DDZD .@# FHDD@D .G# D]JFSJ .F# E]FFSF

7</ Cj „E^GEA– cs gifef ms „3753:– mof „\MCOV– cs gifef ms 46=0>! tneo niw gmo „MGGE\V– `e gifef 9

.M# 5>>463 .@# 566>43 .G# 65534> .F# 3>>456

7=/ Cj „JUAJONT– cs tne gife jir „GPCGKEV– tneo „EUADN– cs tne gife jir wncgn wirf 9

.M# \PCRE .@# @AMFE .G# @ACOF .F# @PCFE

70/ Co m gife amodumde! cj „GCPGAE– cs gifef ms „^PC^IZ–! tneo niw wiuaf yiu gife „W]UMPE– 9

.M# NBJRCZ .@# NBJRZC .G# NBJRA^ .F# NRCJBZ

77/ JIUP cs wrctteo ms DOZ]/ VCHE hmy ̀ e wrctteo ms

.M# WNAF .@# WNAJ .G# UBOF .F# UNOF

76/ Niw hmoy trcmodaes mre tnere co tne jiaaiwcod jcdure 9

.M# 76 .@# 7: .G# 7> .F# 66

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Wpmge Jir Piudn Tirk 

HMVYOVWE WVMDE(CC HIGK VEWV \M\EP(=Y\MDE ' 5

75/ Niw hmoy squmre mre tnere co tne jiaaiwcod jcdure 9

.M# =0 .@# => .G# =4 .F# =3

Fcregtcios .7: ti 73# 2 Co emgn ij tne jiaaiwcod questcios! m jcdure ti tne aejt hmrkef ms trmospmreot sneet cs dcveo

mof ti tne rcdnt jiaaiwef ̀ y jcve moswer jcdure/ Ioe ij tnese jiur iptcioma tne trmospmreot sneet maiod tne

fittef acoe/ Jcof tne girregt moswer jrih tne dcveo jiur iptcios mof cofcgmte cts ouh`er co tne moswer

sneet/

7:/ Vrmospmreot Wneet

.M# .@# .G# .F#

74/ Vrmospmreot Wneet

.M# .@# .G# .F#

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Wpmge Jir Piudn Tirk 

HMVYOVWE WVMDE(CC HIGK VEWV \M\EP(=Y\MDE ' :

7>/ Vrmospmreot Wneet

.M# .@# .G# .F#

73/ Vrmospmreot Wneet

.M# .@# .G# .F#

Fcregtcios .6< ti 65# 2 mre `msef io aetter serces/ Co emgn sihe aetters mre hcsscod/ Jcof tne hcsscod aetters co

priper sequeoge jrih tne jiur materomtcves dcveo/

6</ g  ‗  ‗ g m  ‗ g m  ‗  ‗ m ` g

.M# g ̀ g m ̀ .@# m ̀ m g g .G# m ̀ ̀ ̀ g .F# m ̀ m ̀ g

6=/ h o o  ‗  ‗ h o  ‗  ‗ h h o  ‗ o h

.M# o h o o o .@# o h h o o .G# o h h o h .F# h o o h o

60/ p ‗

q r  ‗

r p q ‗

r r  ‗

p q ‗

r .M# q r r q q .@# p r q r p .G# p r q r q .F# q r q r q

67/ x x  ‗  ‗ y  ‗ x  ‗ y y x  ‗ x y y

.M# y y x x y .@# x y x x x .G# x x y y y .F# x y y y y

66/ a h i  ‗  ‗ a  ‗ i h  ‗ a  ‗ i  ‗ i a

.M# h h i h i h .@# h i h i h i .G# h i h i h h .F# a a h a h i

65/ ‗ m g ` g  ‗ g ` g m g  ‗ g m  ‗ ` g  ‗ g ` g m

.M# ̀ g m g ̀ .@# m g ̀ m g .G# g m ̀ g m .F# ̀ m g m ̀

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Wpmge Jir Piudn Tirk 

HMVYOVWE WVMDE(CC HIGK VEWV \M\EP(=Y\MDE ' 4

6:/ Cj \ feoites + ; ] feoites  ‗ ; P feoites Ô mof W feoites tneo wncgn ij tne jiaaiwcod stmteheot cs girregt9

.M# =: P =0 \ 63 W 4 ] 3 8 0<<

.@# 70 W > P 3 8 =:< ] =0 P =0

.G# > P > \ > W > ] > 8 54

.F# 7: P 6 W > ] 4 \ 6 8 =<

Fcregtcios .64 ti 5<# Co tne pri`aeh jcdures co emgn cteh tnere cs m fejcocte reamtciosncp ̀ etweeo tne jcrst jcdure/

Jrih tne set ij tne jiur moswer jcdures dcveo! jcof tne jcdure tnmt wiuaf estm`acsn tne smhe reamtciosncp

`etweeo tne oext twi jcdure/

64/ \ri`aeh Jcdures

  9

Moswer Jcdures

 

.M# .@# .G# .F#

6>/ \ri`aeh Jcdures 2

  9Moswer Jcdures

.M# .@# .G# .F#

63/ \ri`aeh Jcdures 2

  9

Moswer Jcdure

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Wpmge Jir Piudn Tirk 

HMVYOVWE WVMDE(CC HIGK VEWV \M\EP(=Y\MDE ' >

5</ \ri`aeh jcdures 2

  9

Moswer jcdures 2

.M# .@# .G# .F#

5=/ Kmcamsn jmges tiwmrfs Oirtn! turocod ti ncs rcdnt ne wmaks/ 05 hetres! ne tneo turos ti ncs aejt mof wmaks

7< heters/ Vneo ne hives 05 hetres ti ncs rcdnt/ Vneo ne turos ti ncs rcdnt mof hives 55 hetres/ Jcomaay

tne turos ti ncs rcdnt mof hives 6< heters/ Co wncgn fcregtcio cs ne jrih ncs stmrtcod picot 9

.M# Wiutn Test .@# Wiutn .G# Oirtn Test .F# Wiutn Emst

50/ Pmvc aejt nihe mof weot =< kh Wiutn wmrfs co ncs gygae/ Vneo ne turoef rcdnt mof gygaef 5 kh/ Mdmco

turoef rcdnt mof gygaef =< kh mof turoef aejt mof gygaef =< kh/

Niw hmoy kcaiheters wcaa ne nmve ti gygae ti remgn ncs nihe strmcdnt/

.M# =< kh .@# =5 kh .G# 0< kh .F# 05 kh

57/ Cj E 8 5; \EO 8 75; tneo \MDE 8 9

.M# 04 .@# 0> .G# 03 .F# 7:

56/ Cj M 8 0: WUO 8 04 tneo GMV 8 9

.M# 06 .@# 04 .G# 54 .F# 5>

55/ Cj M 8 0; H 8 0:; R 8 50 tneo @EV 8 9

.M# 66 .@# 56 .G# :6 .F# 40

5:/ Cj I 8 =:; JIP 8 60 tneo wnmt cs JPIOV equma ti

.M# := .@# :5 .G# 47 .F# 4>

Fcregtcios 2 Co ctehs 54 ( := tne ouh`ers co tne squmre mre jcaaef io tne `mscs ij sihe ruae/ Ioe squmre nms m

questcio hmrk/ Jcof iut tne girregt ouh`er jrih tne dcveo gnicges ti jcaa co tnmt squmre/

54/

70 07 3

6= =6 04

>: 9 =>

.M# 35 .@# 30 .G# >0 .F# :>

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Wpmge Jir Piudn Tirk 

HMVYOVWE WVMDE(CC HIGK VEWV \M\EP(=Y\MDE ' 3

5>/= 6 3

:6 =05 0=:

9 6<3: :5:=

.M# 767 .@# 06<= .G# 7<05 .F# :<5<

53/

=3 7 >

> 4 =5

== 9 =7

.M# 0 .@# 6 .G# : .F# >

:</

=6 6 :

=: 5 4

=> 9 >

.M# : .@# 3 .G# =< .F# =0

:=/

= 7 :

6 : 9

4 3 =>

.M# 04 .@# 05 .G# =0 .F# =6

Fcregtcios2 Co ctehs :0 ti :5! m reamtciosncp excsts `etweeo tne jcrst mof segiof wirf/ Vne smhe reamtciosncpexcsts ̀ etweeo tncrf mof jiurtn wirf/ Gniise tne jiurtn wirf jrih tne dcveo materomtcves/

:0/ Gnmco 2 Oegk 2 2 Pcod 2 9

.M# Diaf .@# Iromheot .G# @emutcjua .F# Jcoder

:7/ Figtir 2 \mtceot 2 2 Vemgner 2 9

.M# Nispctma .@# Wgniia .G# Vemgncod .F# Wtufeot

:6/ Jiif 2 Nuoder 2 2 Tmter 2 9

.M# Frcok .@# Vncrst .G# Emt .F# Acqucf

:5/ Hiofmy 2 Tefoesfmy 2 2 Tefoesfmy 2 9

.M# Vnursfmy .@# Jrcfmy .G# Wmturfmy .F# Vuesfmy

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Wpmge Jir Piudn Tirk 

HMVYOVWE WVMDE(CC HIGK VEWV \M\EP(=Y\MDE ' =<

Fcregtcios 2 ]uestcios .:: ( 4<# Co tne fcmdrmh dcveo ̀ eaiw! squmre stmofs jir sgceotcsts! trcmodae jir hmtnehm(

tcgcmos! regtmodae jir wrcters mof gcrgae jir pncaisipners/ Wtufy tne fcmdrmh wctn ouh`ers gmrejuaay mof

gniise tne girregt moswer jir questcios :: ti 4< jrih mhiod tne dcveo materomtcves/

4 : 5

6

7=0>

3 =< == =0

=5 =6 =7

=>

::/ Vne ouh`er ij persios wni mre sgceotcsts! hmtnehmtcgcmos! wrcters mof pncaisipners cs 2

.M# = .@# 0 .G# 7 .F# 6

:4/ Vne ouh`er ij persios wni mre sgceotcsts! hmtnehmtcgcmos! oio wrcters ̀ ut mre pncaisipners cs 2

.M# 0 .@# 7 .G# 6 .F# 5

:>/ Vne ouh`er ij persios wni mre sgceotcsts! hmtnehmtcgcmos mof wrcters! ̀ ut oit pncaisipners cs

.M# 5 .@# 6 .G# 7 .F# 0

:3/ Vne ouh`er ij persios wni mre oit sgceotcsts mof hmtnehmtcgcmos! ̀ ut mre wrcters mof pncaisipners cs

.M# == .@# =0 .G# =7 .F# =6

4</ Vne persios wni mre sgceotcsts mof pncaisipners! `ut oit hmtnehmtcgcmos mof wrcters cs 2

.M# == .@# =0 .G# =7 .F# =6

Fcregtcios 2 .4= ‗ 46# 2 Vnere cs sihe reamtciosncp ̀ etweeo tne twi terhs .ouh`ers) aetters# io tne aejt ij tne scdo

. 2 2 #/Vne smhe reamtciosncp excsts ̀ etweeo tne twi terhs io tne rcdnt ij tne scdo! ij wncgn ioe cs hcsscod/

Jcof tne hcsscod io jrih tne dcveo 6 materomtcves/

4=/ @GF 2 \]P 2 2 ^SR 2 9.M# VUZ .@# JDN .G# PWV .F# AHO

40/ =405 2 0:7: 2 2 7463 2 9

.M# 74:6 .@# 5<63 .G# 5<:6 .F# 7<46

47/ 0 2 4 2 2 : 2 9

.M# 73 .@# 74 .G# 05 .F# 50

46/ @SG^ 2 FTEZ 2 2 JUDV 2 9

.M# ENCB .@# WPNB .G# NWCP .F# DNCB

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Wpmge Jir Piudn Tirk 

HMVYOVWE WVMDE(CC HIGK VEWV \M\EP(=Y\MDE ' ==

Fcregtcios 2 Co questcios 45 ‗ 43 tnere mre jiur driups ij aetters co emgn/ Ioe ij tnese driups cs fcjjereot jrih tne

rest co sihe wmy/ Jcof tne ioe wncgn cs fcjjereot/

45/ .M# M @ G F .@# H O I \ .G# P W V U .F# ̂ R S M

4:/ .M# E F G @ .@# D P C B .G# O H A K .F# Z U V W

44/ .M# A B N J .@# \ A N F .G# O B J @ .F# D G S U

4>/ .M# J C A I .@# N K O ] .G# \ W Z S .F# T R G E

43/ .M# A H I P .@# O I ] V .G# ̂ M F E .F# E J N K

Fcregtcios 2 .>< ‗ >5# 2 Emgn ij tne ctehs ><  ‗ >5 gioscsts ij m squmre ij 3 geaas co tnree riws mof tnree giauhos/

Siu gmo see tnmt tne fescdos co emgn riw ir giauho jiaaiw smhe ruae/ Gniise tne girregt moswers jir

mhiod tne dcveo materomtcves ti suct tne geaa cofcgmtef ̀ y tne questcio hmrk 9

></

9

.M# .@# .G# .F#

>=/

9

.M# .@# .G# .F#

>0/

9.M# .@# .G# .F#

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Wpmge Jir Piudn Tirk 

HMVYOVWE WVMDE(CC HIGK VEWV \M\EP(=Y\MDE ' =0

>7/

9

.M# .@# .G# .F#

>6/

.M# .@# .G# .F#

>5/

9

Fcregtcios .>: ti 3<# 2 Co emgn ij tne jiaaiwcod questcios! tnere cs m fcmdrmh hmrkef .^#! wctn ioe ir hire fits pamgef co ct/ Vne fcmdrmh cs jiaaiwef ̀ y jiur itner jcdures! hmrkef .M#! .@#! .G# mof .F# ioay ioe ij wncgn cs sugn ms ti hmke pissc`ae tne pamgeheot ij tne materomtcve co emgn gmse/

>:/

.^#

.M# .@# .G# .F#

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Wpmge Jir Piudn Tirk 

HMVYOVWE WVMDE(CC HIGK VEWV \M\EP(=Y\MDE ' =7

>4/

.^#

.M# .@# .G# .F#

>>/

.x#

.M# .@# .G# .F#

>3/

.x#

.M# .@# .G# .F#

3</

.^#

.M# .@# .G# .F#

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Wpmge Jir Piudn Tirk 

HMVYOVWE WVMDE(CC HIGK VEWV \M\EP(=Y\MDE ' =6

Fcregtcios 2 .3= ti 35# M gu`icf ij fcheoscios .=0 gh  > gh  0 gh# cs pmcotef ̀ amgk io ̀ itn tne surjmges 

ij fcheoscios .> gh 0 gh#! dreeo io tne surjmges ij fcheoscios .=0 gh > gh#/ mof ref io tne 

surjmges ij fcheoscios .=0 gh 0 gh#/ Oiw tne ̀ aigk cs fcvcfef coti vmrcius shmaaer gu`es ij scfe 

0 gh/ emgn/ Vne shmaaer gu`es si i`tmcoef mre sepmrmtef/

3=/ Niw hmoy gu`es wcaa nmve mtaemst tnree surjmge giaiuref 9

.M# =: .@# =0 .G# =< .F# >

30/ Niw hmoy gu`es wcaa ̀ e jirhef 9

.M# : .@# =0 .G# =: .F# 06

37/ Cj gu`es nmvcod ioay ̀ amgk ms weaa ms dreeo giaiur mre rehivef tneo niw hmoy gu`es wcaa ̀ e aejt 9

.M# 6 .@# > .G# =: .F# 7<

36/ Niw hmoy gu`es wcaa nmve 6 giaiuref scfes mof 0 scfes wctniut giaiur 9

.M# > .@# 6 .G# =: .F# =<

35/ Niw hmoy gu`es wcaa nmve twi scfes wctn dreeo giaiur mof rehmcocod scfes wctniut moy giaiur9.M# =0 .@# =< .G# > .F# 6

Fcregtcios 2 .3: ti 34# Co emgn ij tne jiaaiwcod questcios jiur pisctcios ij tne smhe fcge nmve ̀ eeo sniwo/

Siu nmve ti see tnese jcdures mof seaegt tne ouh`er ippiscte ti tne ouh`er ms mskef co emgn 

questcio/

3:/

.c# .cc# .ccc# .cv#

Tncgn ouh`er cs ippiscte ti ouh`er 5 9

.M# 6 .@# : .G# = .F# 7

34/

.c# .cc# .ccc# .cv#

Tncgn syh`ia wcaa gihe ippiscte ti syh`ia

.M# < .@# 8 .G# x .F#

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Wpmge Jir Piudn Tirk 

HMVYOVWE WVMDE(CC HIGK VEWV \M\EP(=Y\MDE ' =5

3>/ Tncgn ij tne jiaaiwcod fcges cs cfeotcgma ti tne uojiafef jcdure ms sniwo nere 9

\

VP

W

U ]

.M#

\

W V .@#

]

V P .G#

\

W U .F#

\

V ]

33/ Vnree pisctcios ij tne smhe fcge mre dcveo ̀ eaiw/ I`serve tne jcdures gmrejuaay mof teaa wncgn ouh`er wcaa

gihe co pamge ij „9–

.M# = .@# : .G# 7 .F# 5

=<</ M! @! G! F mof E pamy m dmhe ij gmrfs/ M smys ti @! "Cj yiu dcve he tnree gmrfs! yiu wcaa nmve ms hmoy

ms E nms mof cj C dcve yiu tnree gmrfs! yiu wcaa nmve ms hmoy ms F nms/‘ M mof @ tidetner nmve =< gmrfs

hire tnmo wnmt F mof E tidetner nmve/ Cj @ nms twi gmrfs hire tnmo wnmt G nms mof tne titma ouh`er ij

gmrfs ̀ e =77! niw hmoy gmrfs fies @ nmve9

.M# 00 .@# 07 .G# 05 .F# 75

WMVYOVWE WVMDE(CC HIGK VEWV \M\EP(=Y\MDE ' =5


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