MAT Paper-3

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    Zfln 1 4 @r+ Ldx+ Ldros 1 433

    GNKNRDI FK]ZR^MZFHK]

    4+ Z`n bhhoint gfvnk fk t`n nxdlfkdtfhk dii fs t`n Tunstfhk Sdpnr+

    2+ D stujnkt ds th wrftn fs`nr dkswnrs fk t`n HLR s`nnt by jdronkfkg t`n dpprhprfdtn bubbin wft` t`n nip he

    @B Snkmfi ds t`n mhrrnmt dkswnr(s& he t`n qunstfhk dttnlptnj+

    =+ Z`n qunstfhk pdpnr mhktdfks 433 qunstfhks+ Ndm` mdrrfns hkn ldro+

    :+ Bidko pdpnrs) mifp bhdrjs) ihg tdbins) sifjn ruin) mdimuidthrs) lhbfin hr dky ht`nr ninmtrhkfm gdjgnts fk dky

    ehrl fs kht diihwnj+

    >+ Wrftn yhur Kdln % Rhii Kh+ fk t`n spdmn prhvfjnj fk t`n bhtthl he t`fs bhhoint+

    5+ Z`nrn fs kh kngdtfvn ldrofkg+ Jh kht spnkj thh lum` tfln hk d pdrtfmuidr qunstfhk+

    7+ Bnehrn dkswnrfkg t`n pdpnr) efii up t`n rnqufrnj jntdfis fk t`n bidko spdmn prhvfjnj fk t`n dkswnr s`nnt+

    0+ Fk mdsn he dky jfsputn) t`n dkswnr s`nnt dvdfidbin wft` t`n fkstftutn s`dii bn efkdi+

    DII FKJFD KZ]N (]ZDGN,FF& ZN]Z ]NRFN]

    LHMO ZN]Z - =

    MID]] ,P

    LNKZDI DSZFZ^JN ZN]Z (LDZ&

    SMMS @ndj Heefmn 1

    Djjrnss 1 Idos`yd) M,0) Kursnry Sihts) Zdiwdkjf) Ohtd (Rdadst`dk&,=2:33>

    Zni+ Kh+ 1 /37::,2:=:727)002:370==3) Edx 1 37::,2:274:5 | Wnbsftn 1 www+pmmp+rnshkdkmn+dm+fk

    N,ldfi 1 pmmpCrnshkdkmn+dm+fk

    http://www.pccp.resonance.ac.in/
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    ]pdmn Ehr Rhug` Whro

    LDZXKZ]N ]ZDGN,FF LHMO ZN]Z SDSNR,=XSDGN - 4

    Jfrnmtfhks 1 (4 th =& Fk ndm` he t`n ehiihwfkg qunstfhks t`nrn fs d kulbnr snrfns wft` hkn tnrl lfssfkg) w`fm` fs

    s`hwk by qunstfhk ldro (8&+ Efkj t`n lfssfkg tnrl hut he t`n gfvnk ditnrkdtfvns+

    4+ >6) 54) 57) 74) 7=) 8

    (D& 76 (B& 70 (M& 77 (J& 7>

    2+ 5) 7) 7) 43) 6) 8) 42) 45) 8

    (D& 42) 45 (B& 42) 4> (M& 4=) 4> (J& 4=) 45

    =+ =) 4=) 22) =2) >6) 56) 423) 4=3) 8

    (D& 234 (B& 244 (M& 225 (J& 2=2

    Jfrnmtfhks 1 (: th >& Fk ndm` he t`n ehiihwfkg qunstfhks t`nrn fs d kulbnr snrfns wft` hkn fkmhrrnmt tnrl+ Efkj hut

    t`n fkmhrrnmt tnrl hut he t`n gfvnk ditnrkdtn

    :+ 422) 4:>) 473) 467) 225) 2>7) 200

    (D& 200 (B& 2>7 (M& 225 (J& 422

    >+ 4) 4) 2) :) 0) 44

    (D& 2 (B& : (M& 0 (J& 4

    Jfrnmtfhks 1(5 th 0& ^kjnrstdkj t`n ehiihwfkg ehur inttnr snrfns mdrneuiiy+

    (]nrfns&

    (D& DBM) BMJ) MJN) JNE

    (B& MJP) JNW) NEU) EG^

    (M& MVW) NPU) GW^) FUZ

    (J& MNG) JE@) NGF) E@A

    Fk t`n ehiihwfkg qunstfhks ) d tnrl fs gfvnk w`fm` bnihkgs th hkn he t`n dbhvn snrfns+ Efkj hut th w`fm`

    snrfns ft bnihkgs dkj fkjfmdtn fts hptfhk fk t`n dkswnr s`nnt+

    5+ QDB

    7+ G@Z

    0+ BMV

    Jfrnmtfhks 1 (6 th 43& Ndm` he t`n ehiihwfkg qunstfhks fs bdsnj hk inttnr snrfns fk w`fm` shln inttnrs drn lfssfkg+

    Fk t`n gfvnk hptfhks lfssfkg inttnr fs gfvnk fk prhpnr snqunkmn+ ]ninmt t`n mhrrnmt hptfhk he ndm` qunstfhk+

    6+ d X b X b b m d X m X b

    (D& m b d b (B& d m m d (M& d b b d (J& b b m m

    43+ x y X X x y y X x y X x

    (D& x y y y (B& x y x x (M& y x x y (J& x y y x

    LDZ SDSNR

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    ]pdmn Ehr Rhug` Whro

    LDZXKZ]N ]ZDGN,FF LHMO ZN]Z SDSNR,=XSDGN - 2

    Jfrnmtfhks 1 (44 th 4:& Gnt t`n ruin dkj efkj t`n suftdbin hptfhk ehr bidko mnii+

    44+ 6 > =:

    22 7 74

    8 44 4>7

    (D& =5 (B& =: (M& =2 (J& 20

    42+ : 0 40

    43 42 26

    45 4> 8

    (D& =2 (B& =5 (M& =0 (J& :0

    4=+

    > =

    2

    4> 42

    =

    03 :>

    8

    (D& 7 (B& 5 (M& > (J& :

    4:+4=

    45

    :6

    : 8

    2>

    5:

    6 45 4

    =5

    04

    (D& 45 (B& 4> (M& 4: (J& 42

    4>+ W`fm` inttnr mhlns hkiy hkmn fk t`n ifst bnihw,

    B J G F A M @ D B J N J G E M A F E G A

    (D& G (B& J (M& A (J& D

    45+ Detnr indvfkg t`n efrst efvn inttnrs he dip`dbnt snrfns) phfkt hut t`n lfjjin inttnr he rnldfkfkg inttnrs+

    (D& S (B& L (M& T (J& I

    Jfrnmtfhk 1 (47 th 24& Z`n mdpftdi inttnrs fk ndm` he t`n ehiihwfkg whrjs drn mhjnj dkj wrfttnk fk sldii inttnrs)

    but kht fk t`n sdln hrjnr ds t`n inttnrs fk t`n whrj+ Efkj t`n mhjns ehr inttnrs dkj dkswnr t`n

    qunstfhk+

    ] N R F N ] h d n h n p

    ] M D R N p h o n j

    ] N N J f h n h

    M D R J p f o j

    D M Z j k o

    47+ RNJ

    (D& fhj (B& hnj (M& jkp (J& fhp

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    ]pdmn Ehr Rhug` Whro

    LDZXKZ]N ]ZDGN,FF LHMO ZN]Z SDSNR,=XSDGN - =

    40+ ZNDR

    (D& pkhf (B& pnko (M& ohkf (J& pokh

    46+ ]NZ

    (D& knh (B& fnk (M& koh (J& pko

    23+ MFZN

    (D& fjhd (B& pohf (M& hdkj (J& jdfk

    24+ JFMN

    (D& jfho (B& phok (M& dhjk (J& jhdf

    22+ ]ukfi wdionj 5 ols thwdrjs t`n Ndst+ Z`nk turknj th fs rfg`t dkj wdionj 43 ols+ Dgdfk n turknj th

    `fs rfg`t dkj wdionj 5 ols+ Efkdiiy `n turknj th `fs inet dkj wdionj 4: ols+ @hw edr fs `n erhl t`n

    stdrtfkg phfkt dkj fk w`fm` jfrnmtfhk8

    (D& 2> ols ]hut` (B& 2: ols ]hut` (M& 2: ols Khrt` (J& 23 ols Khrt`

    Jfrnmtfhks 1 (2= th 2>& ]tujy t`n fkehrldtfhk gfvnk bnihw dkj dkswnr t`n qunstfhks t`dt ehiihw 1

    Rdau fs d mdrpnktnr+ @n ds efvn thhis wft` w`fm` n whros+ Z`ny drn D) B) M) J dkj N+ Ndm` he t`nl `ds

    d jfeenrnkt wnfg`t ds gfvnk bnihw 1

    (f& D wnfg`s twfmn ds lum` ds B(ff& B wnfg s ehur dkj d die tflns ds lum` ds M

    (fff& M wnfg`s die ds lum` ds J

    (fv& J wnfg`s die ds lum` ds N

    (v& N wnfg`s inss t`dk D but lhrn t dk M

    2=+ W`fm` he t`n ehiihwfkg fs t`n lhst ifg`t fk wnfg`t 8(D& D (B& J (M& B (J& M

    2:+ W`fm` he t`n ehiihwfkg fs lhst ndvy fk wnfg`t 8(D& D (B& B (M& M (J& J

    2>+ W`fm` he t`n ehiihwfkg rnprnsnkts t`n jnsmnkjfkg hrjnr he wnfg`ts he thhis 8(D& B) J) N) D) M (B& D) B) N) J) M (M& B) J) N) M) D (J& N) M) J) D) B

    25+ W`fm` kulbnr bntwnnk >3 th 05 fs lfssfkg fk t`n grfj 8

    >> 72 >= 74 54 >5

    75 56 5: 73 7> 5>

    70 >7 04 >3 >0 >6

    53 0= 55 0: 7: 57

    02 >4 77 >: 03 >2

    7= 05 52 0> 5= 76

    (D& 50 (B& 74 (M& >4 (J& 0=

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    ]pdmn Ehr Rhug` Whro

    LDZXKZ]N ]ZDGN,FF LHMO ZN]Z SDSNR,=XSDGN - :

    27+ W`fm` inttnr dppndrs efvn tflns fk t`n grfj bnihw8

    H D G M N @ J A

    D H H K H R K L

    E S O J G D E K

    S B G L E L G B

    F O @ J A M R F

    G H K I H H N @R E R L D E H J

    (D& D (B& L (M& H (J& E

    20+ Jnintn dii t`n kulbnrs t`dt dppndr lhrn t`dk hkmn fk t`n ifst bnihw dkj djj t`n rnldfkfkg thgnt`nr+ W`dt

    fs t`n dkswnr+

    > 2 = > 4 = : 2 5 : 5 0 7 = 0 > 7 6 2

    (D& 43 (B& 4> (M& 6 (J& 44

    Jfrnmtfhks 1 (26 th =3& Rndj t`n fkehrldtfhk gfvnk bnihw th dkswnr qunstfhks+

    P fs lht`nr he V but V fs kht t`n jdug`tnr he P+ ] fs shk he G dkj brht`nr he Z+ Z fs sfstnr he V+

    26+ W`dt fs t`n rnidtfhks`fp bntwnnk G dkj Z 8(D& Edt`nr,Jdug`tnr (B& Lht`nr,Jdug`tnr (M& Brht`nr,]fstnr (J& Mdkt bn ehukj

    =3+ W`dt fs t`n rnidtfhks`fp bntwnnk G dkj P 8

    (D& @usbdkj , Wfen (B& Brht`nr , ]fstnr (M& kmin , Kfnmn (J& Kh rnidtfhk

    =4+ Hk Fkjnpnkjnkmn jdy) m`hmhidtns wnrn th bn nqudiiy jfstrfbutnj dlhkg =53 m`fijrnk fk d sm`hhi+ Dmtudiiy

    hk t`dt jdy 423 m`fijrnk wnrn dbsnkt )hk dmmhukt he t`fs ndm` m`fij ght > m`hmhidtns nxtrd+ @hw ldky

    m`hmhidtns ndm` stujnkt ght hk t`dt jdy 8

    (D& 42 (B& 43 (M& 4> (J& 5

    Jfrnmtfhks 1 (=2 th =5& Rndj t`n ehiihwfkg fkehrldtfhk mdrneuiiy dkj dkswnr t`n qunstfhks t`dt ehiihw+

    (f& Z`nrn drn sfx stujnkts ( D) B) M) J) N dkj E& fk d grhup+ Ndm` stujnkt mdk hpt ehr hkiy t`rnn m`hfmns

    hut he t`n sfx w`fm` drn lusfm) rndjfkg) pdfktfkg) bdjlfkthk) mrfmont dkj tnkkfs+

    (ff& D) M dkj E ifon rndjfkg+

    (fff& J jhns kht ifon bdjlfkthk) but ifons lusfm+

    (fv& Bht` B dkj N ifon pdfktfkg dkj lusfm+

    (v& D dkj J jh kht ifon pdfktfkg) but t`ny ifon mrfmont+

    (vf& Dii stujnkt nxmnpt hkn ifon bdjlfkthk+

    (vff& Zwh stujnkts ifon tnkkfs+

    (vfff& E jhns kht ifon mrfmont) lusfm dkj tnkkfs+

    =2+ W`fm` pdfr he stujnkts `ds t`n sdln mhlbfkdtfhk he m`hfmns 8

    (D& D dkj M (B& M dkj J (M& B dkj N (J& J dkj E

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    ]pdmn Ehr Rhug` Whro

    LDZXKZ]N ]ZDGN,FF LHMO ZN]Z SDSNR,=XSDGN - >

    ==+ W`h dlhkg t`n ehiihwfkg stujnkts ifons bht` tnkkfs dkj mrfmont 8

    (D& D dkj B (B& M (M& B dkj J (J& J

    =:+ @hw ldky stujnkts ifon pdfktfkg dkj bdjlfkthk 8

    (D& 4 (B& 2 (M& = (J& :

    =>+ W`h dlhkg t`n ehiihwfkg jh kht ifon lusfm 8

    (D& D ) M dkj J (B& D) B dkj M (M& D) M dkj E (J& B) J dkj E

    =5+ W fm he t`n ehiihwfkg fs t`n lhst phpuidr m`hfmn 8(D& Znkkfs (B& Bdjlfkthk (M& Rndjfkg (J& Sdfktfkg

    =7+ Z`n inttnrs I) L) K) H) S) T) R) ] dkj Z fk t`nfr hrjnr drn substftutnj by kfkn fktngnrs 4 th 6 but kht fk t`dt

    hrjnr+ : fs dssfgknj th S+ Z`n jfeenrnkmn bntwnnk S dkj Z fs >+ Z`n jfeenrnkmn bntwnnk K dkj Z fs =+ W`dt

    fs t`n fktngnr dssfgknj th K 8

    (D& 7 (B& > (M& : (J& 5

    =0+ ]fx stujnkts D) B) M) J) N dkj E drn sfttfkg fk t`n efnij+ D dkj B drn erhl Jni`f w`fin t`n rnst drn erhl

    bdkgdihrn+ J dkj E drn tdii w`fin ht`nrs drn s`hrt+ D) M dkj J drn gfris w`fin ht`nrs drn bhys+ W`fm` fs t`n

    tdii gfri erhl Bdkgdihrn 8

    (D& E (B& J (M& N (J& M

    Jfrnmtfhks 1 (=6 th :3& Fk t`n ehiihwfkg qunstfhks w`fm` snt he sfgks s`huij mhlpintn t`n dstnrfsos (& snqunktfdiiyfk hrjnr th ldon t`n nqudtfhk ldt`nldtfmdiiy lndkfkgeui 8 Efkj t`n mhrrnmt snt he sfgks ehrl dlhkg t`n

    ditnrkdtfvns gfvnk ukjnr ndm` qunstfhk+

    =6+ 2: 2 2 43

    (D&

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    ]pdmn Ehr Rhug` Whro

    LDZXKZ]N ]ZDGN,FF LHMO ZN]Z SDSNR,=XSDGN - 5

    :=+ 23) :2) 63

    (D& F (B& FF (M& FFF (J& FU

    ::+ 42) =5) 03

    (D& F (B& FF (M& FFF (J& U

    Jfrnmtfhks 1 (:> th :6 & Fk ndm` qunstfhk t`nrn fs shln rnidtfhk bntwnnk t`n efrst twh tnrls+ ]dln rnidtfhks`fp

    nxfsts fk t`n knxt twh tnrls+ Z`n lfssfkg tnrl (8& fs hut he t`n hptfhks gfvnk bnihw+ Efkj t`n mhrrnmt

    hptfhk+

    :>+ 8 1 F R H I 11 H I F R 1 ^ E M P

    (D& E M P (B& N M P (M& M P E (J& M P E

    :5+ O D U N R F 1 L J Q F ^ O 11 ] F K G N R 1 8

    (D& O @ Z I R (B& R O @ Z I (M& I R O @ Z (J& Z @ O I R

    :7+ Z D I O 1 T T N W 11 R H S N 1 8

    (D& A U U ] (B& O ] (M& A ] ] (J& O A A ]

    :0+ 424 1 2 11 654 1 8

    (D& 4 (B& = (M& : (J& >

    :6+ 44 1 =3 11 8 1 420

    (D& 5> (B& 55 (M& 57 (J& 50

    Jfrnmtfhks 1 (>3 th >:& Fk ndm` qunstfhk t`nrn drn ehur snts he inttnrswhrjs+ Hkn snt fs jfeenrnkt erhl t`n rnst t`rnn

    fk shln wdy hr t`n ht`nr+ Efkj hut t`fs jfeenrnkt snt+

    >3+ (D& N L G T Z (B& Z S U R P (M& H P K Q S (J& L ] W T

    >4+ (D& M G I R (B& J @ L ] (M& L T U D (J& E A H

    >2+ (D& ::4) 42 (B& 2>5) 4= (M& :0:) 45 (J& 206) 46

    >=+ (D& 02) 45 (B& 5=) 40 (M& >:) 22 (J& :5) 2:

    >:+ (D& 424) 2 (B& 4::) = (M& 456) : (J& 22>) 4

    Jfrnmtfhks 1(>> th >5& M`hhsn t`n Unkk jfdgrdl w`fm` bnst jnsmrfbn t`n rnidtfhks`fp dlhkg t`n t`rnn gfvn

    midssns (Z`n sfzn he mfrmin jhns kht fkjfmdtn rnidtfvn sfzns he midssns&

    >>+ Zrfdkgins) Tudjrfidtnrdis) ]qudrns

    (D& (B&(M&

    (J&

    >5+ Sidynrs) @uldk Bnfkgs) ]tujnkts

    (D& (B& (M& (J&

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    ]pdmn Ehr Rhug` Whro

    LDZXKZ]N ]ZDGN,FF LHMO ZN]Z SDSNR,=XSDGN - 7

    >7+ Lh`dk wds bhrk hk Dugust 22+ Drvfkj fs yhukgnr t`dk Lh`dk by 43 jdys+ Z`fs yndr fkjnpnkjnkmn jdy

    ediis hk Zunsjdy+ Hk w`fm` jdy Drvfkj bfrt`jdy edii 8

    (D& Zunsjdy (B& Wnjknsjdy (M& Z`ursjdy (J& Erfjdy

    >0+ D erfnkj he lfkn mdln th lnnt ln nvnry ]ukjdy+ Z`n efrst tfln `n mdln dt 42 1 =3 ? t`n knxt tfln dt

    4123) t`nk dt 2 1 =3) t`nk dt :+33 w`nk jfj `n turk up t`n tfln detnr t`dt 8

    (D& :+=3 (B& >+>3 (M& >+=3 (J& >+23

    Jfrnmtfhks 1 (>6 th 5=& D mubn pdfktnj rnj hk twh djadmnkt edmns dkj bidmo hk t`n edmns hpphsftn th t`n rnj edmns

    dkj grnnk hk t`n rnldfkfkg edmns fs mut fkth 5: sldiinr mubns he nqudi sfzn+

    >6+ @hw ldky mubns dvn kh edmn pdfktnj 8

    (D& 3 (B& : (M& 0 (J& 45

    53+ @hw ldky mubns dvn hkiy hkn edmn pdfktnj 8

    (D& 0 (B& 2: (M& 20 (J& :0

    54+ @hw ldky mubns dvn inss t`dk t`rnn edmns pdfktnj 8

    (D& 0 (B& 2: (M& 20 (J& :0

    52+ @hw ldky mubns drn t`nrn wft` t`n t`rnn edmns pdfktnj 8(D& : (B& 0 (M& 45 (J& 2:

    5=+ @hw ldky mubns dvn hkn edmn grnnk dkj dt indst hkn he t`n djadmnkt edmns bidmo hr rnj 8

    (D& 0 (B& 45 (M& 2: (J& 20

    Jfrnmtfhk 1 (5:&Z`n sfx edmns he d mubn dvn bnnk ldronj wft` kulbnrs 4) 2) =) :) > dkj 5 rnspnmtfvniy+ Z`fs mubnfs rhiinj jhwk t`rnn tflns+ Z`n t`rnn phsftfhks drn gfvnk+ M`hhsn t`n efgurn t`dt wfii bn ehrlnj w`nk t`n

    mubn fs ukehijnj+

    5:+

    (D& (B& (M& (J&

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    ]pdmn Ehr Rhug` Whro

    LDZXKZ]N ]ZDGN,FF LHMO ZN]Z SDSNR,=XSDGN - 0

    Jfrnmtfhks 1( 5> th 57& Fk t`n ehiihwfkg qunstfhks ) t`nrn drn efgurns th t`n inet he t`n lfrrhr fkjfmdtnj by ifkns dkj

    t`nfr lfrrhr fldgns drn gfvnk fk hkn he t`n ehur efgurn+

    5>+

    YYYYYYYYYYYYYYYY

    (D& (B& (M& (J&

    55+

    YYYYYY

    YYYYYYYYYY

    (D& (M& (J&(B&

    57+

    YYYYYYYYYYYY

    YYYY

    (D& (M& (J&(B&

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    ]pdmn Ehr Rhug` Whro

    LDZXKZ]N ]ZDGN,FF LHMO ZN]Z SDSNR,=XSDGN - 6

    Jfrnmtfhks 1(50 th 56& Fe d squdrn he pdpnr fs ehijnj erhl t`n mnktrn dkj muts drn ldjn ds s`hwk fk t`n prhbinl

    efgurn) hw wfii ft dppndr w`nk ft fs hpnknj 8 ]ninmt t`n dpprhprfdtn efgurn erhl t`n m`hfmns+

    50+

    (D& (B& (M& (J&

    56+

    (D& (B& (M& (J&

    73+ @hw ldky qudjrfidtnrdis drn t`nrn fk t`n efgurn8

    (D& = (B& : (M& > (J& 5

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    ]pdmn Ehr Rhug` Whro

    LDZXKZ]N ]ZDGN,FF LHMO ZN]Z SDSNR,=XSDGN - 43

    74+ @hw ldky pdrdiinihgrdls drn t`nrn fk t`n efgurn8

    (D& 42 (B& 43 (M& 0 (J& 5

    Jfrnmtfhks 1 (72 th 7=& Fk ndm` he t`n ehiihwfkg qunstfhks d jnsfgk fs gfvnk+ Hkn sldii snglnkt fs lfssfkg erhl t`n

    jnsfgk+ ]ninmt t`n ditnrkdtfvn w`fm` wfii mhlpintn t`n jnsfgk w`nk pidmnj hk t`n lfssfkg drnd+

    72+

    8(D& (B& (M& (J&

    7=+

    8

    (D& (B& (M& (J&

    Jfrnmtfhks 1 (7: th 75& Z`nrn drn twh snts he efgurns+ Hkn fs qunstfhk efgurns dkj t`n ht nr fs dkswnr,efgurns+

    Z`nrn fs shln rnidtfhks`fp bntwnnk t`n efrst twh efgurns he t`n qunstfhk,efgurns+ Z`n sdln rnidtfhks`fp

    nxfsts bntwnnk t`n t`frj dkj ehurt` efgurns+ ]ninmt t`n hptfhk he t`n mhrrnmt dkswnr,efgurn ehr t`n pidmn he

    qunstfhk ldro (8&+

    Tunstfhk,Efgurns

    7:+

    P P

    P P P

    P PP P

    P PP

    8

    Dkswnr Efgurns

    P P P

    P P

    (D& (B& (M& (J&

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    LDZXKZ]N ]ZDGN,FF LHMO ZN]Z SDSNR,=XSDGN - 44

    7>+ Tunstfhk,Efgurns

    8

    Dkswnr Efgurns

    (D& (B& (M& (J&

    75+ Tunstfhk,Efgurns

    8

    Dkswnr Efgurns

    Jfrnmtfhks 1 (77 th 76& Z`nrn drn twh snts he efgurns+ Hkn fs he Srhbinl Efgurns w`fin dkht`nr fs snt he Dkswnr

    Efgurns+ Z`nrn fs d snqunkmn dmmhrjfkg th w`fm` t`n Srhbinl Efgurns drn drrdkgnj+ Hkn efgurn he Dkswnr

    Efgurns fs th bn sninmtnj w`fm` mdk bn pidmnj fk snqunkmn he Srhbinl Efgurns+ Efkj t`n mhrrnmt hptfhk he

    t`n sninmtnj Dkswnr Efgurn+

    77+ Srhbinl Efgurns

    Dkswnr Efgurns

    (D& (B& (M& (J&

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    ]pdmn Ehr Rhug` Whro

    LDZXKZ]N ]ZDGN,FF LHMO ZN]Z SDSNR,=XSDGN - 42

    70+ Srhbinl Efgurns

    Dkswnr Efgurns

    (D& (B& (M& (J&

    76+ Srhbinl Efgurns

    Dkswnr Efgurns

    (D& (B& (M& (J&

    Jfrnmtfhks 1 ( 03 th 04& Fk ndm` qunstfhk ehur efgurns drn gfvnk+ Hkn he t`nl jhns kht mhrrnidtn wft` t`n rnst+ Efkjhut t`n jfeenrnkt efgurn+

    03+

    (D& (B& (M& (J&

    04+

    (D& (B& (M& (J&

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    ]pdmn Ehr Rhug` Whro

    LDZXKZ]N ]ZDGN,FF LHMO ZN]Z SDSNR,=XSDGN - 4=

    Jfrnmtfhks 1 (02 th 0>& Fk ndm` he t`n ehiihwfkg prhbinls) t`nrn fs hkn qunstfhk dkj t`rnn stdtnlnkts F) FF dkj FFF

    gfvnk bnihw t`n qunstfhk+ Vhu `dvn th jnmfjn w`nt`nr t`n jdtd gfvnk fk t`n stdtnlnkts fs sueefmfnkt th

    dkswnr t`n qunstfhk+ Rndj dii t`n stdtnlnkts mdrneuiiy dkj efkj w`fm` he t`n stdtnlnkt fsdrn sueefmfnkt th

    dkswnr t`n gfvnk qunstfhk+ M`hhsn t`n mhrrnmt ditnrkdtfvn fk ndm` qunstfhk+

    02+ @hw ldky shks jhns P dvn 8

    F+ T dkj drn brht`nrs he Z+

    FF+ R fs t`n sfstnr he S dkj ^+

    FFF+ R dkj Z drn jdug`tnrs he P+(D& Hkiy F dkj FF (B& Hkiy FF dkj FFF

    (M& Dii F) FF dkj FFF (J& F) FF dkj FFF thgnt`nr drn kht sueefmfnkt+

    0=+ Ufiidgn Z fs fk w`fm` jfrnmtfhk wft` rnspnmt th vfiidgn R 8

    F+ Z fs th t`n Khrt` he W w`fm` fs th t`n Wnst he ]+

    FF+ Z fs th t`n Khrt`,Wnst he ]+

    FFF+ W fs th t`n Khrt`,Wnst he R+

    (D& Hkiy F dkj FF (B& Hkiy FF dkj FFF

    (M& Hkiy F dkj FFF (J& Khkn he t`nsn

    0:+ Fk w`fm` yndr wds ]dkady bhrk 8

    F+ ]dkady fs sfx yndrs hijnr t`dk Ghpdi+FF+ Ghpdis brht`nr wds bhrk fk 4602+

    FFF+ ]dkadys brht`nr fs twh yndrs yhukgnr t`dk Ghpdis brht`nr w`h fs nfg`t yndrs yhukgnr t`dk Ghpdi+

    (D& Hkiy F dkj FF (B& Hkiy FF dkj FFF

    (M& Hkiy F dkj FFF (J& Dii F) FF dkj FFF

    0>+ W`dt fs t`n thtdi lhkt`iy sdidry he Udsu 8

    F+ Udsus bdsfm sdidry fs Rs 433 lhrn t`dk Rdadks sdidry w`h dish snrvns fk Udsus mhlpdky+

    FF+ Ht`nr diihwdkmns jrdwk by Rdadk bnsfjns fs sdidry drn Rs 2333 pnr lhkt` w`fm` fs Rs >3 inss t`dk

    Udsus sdidry+

    FFF+ Rdadks bdsfm sdidry fs Rs 4>>3 pnr lhkt`+

    (D& Hkiy F dkj FF (B& Hkiy FF dkj FFF

    (M& Hkiy F dkj FFF (J& Dii F) FF dkj FFF

    Jfrnmtfhk 1( 05 th 07& Z`nrn fs shln rnidtfhks`fp bntwnnk t`n twh tnrls hk t`n inet sfjn he t`n sfgk (11&+ ]ninmt t`n

    sdln rnidtfhks`fp bntwnnk t`n twh tnrls hk t`n rfg`t sfjn+

    05+ Ifhk 1 Mub 11

    (D& Edt`nr 1 M`fij (B& Dukt 1 M`fij (M& Lht`nr 1 M`fij (J& Edt`nr 1 Lht`nr

    07 Snrshk 1 ]hmfnty 11

    (D& ]tujy 1 Okhwinjgn (B& Ifbrdry 1 Sdgns (M& Bhho 1 Ifbrdry (J& Mhpy 1 ]tujy

    00+ Z`rnn yndrs dgh Rdau wds 0 yndrs yhukgnr t`dk ]dkau+ W`dt wfii bn jfeenrnkmn bntwnnk t`nfr dgns detnr

    > yndrs

    (D& 0 yndrs (B& 7 yndrs (M& 42 yndrs (J& 4> yndrs

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    LDZXKZ]N ]ZDGN,FF LHMO ZN]Z SDSNR,=XSDGN - 4:

    Jfrnmtfhks 1 (06 th 63& Gfvnk qunstfhks drn bdsnj hk t`n drrdkgnlnkt he inttnrs 'd th z' fk t`n ehrl he d pyrdlfj+

    Fk ndm` qunstfhk twh snts he inttnrs gfvnk hk t`n inet he sfgk (1 1& w`fm` drn rnidtnj fk shln wdy hr ht`nr+

    ]dln rnidtfhks`fp fs bntwnnk twh snts hk t`n rfg`t wft` hkn bidko tnrl+ ]ninmt t`n mhrrnmt hptfhk ehr t`n

    bidko tnrl+

    db m j

    n eg

    ` fa o i l k h p

    q r s t u v w x yz

    06+ meo 1 otz 1 1 8 1 hvz

    (D& jfp (B& m`h (M& glu (J& `kv

    63+ neg 1 glu 1 1 nos 1 8

    (D& `lk (B& stu (M& noa (J& for

    Jfrnmtfhks (64 th 6:& 1 ]tujy t`n ehiihwfkg fkehrldtfhk mdrneuiiy dkj dkswnr t`n gfvnk qunstfhks1

    D whrj dkj kulbnr drrdkgnlnkt ldm`fkn w`nk gfvnk dk fkput ifkn he whrjs dkj kulbnrs rndrrdkgns

    t`nl ehiihwfkg d pdrtfmuidr ruin fk ndm` stnp+ Z`n ehiihwfkg fs dk fiiustrdtfhk he fkput dkj rndrrdkgnlnkt+

    Fkput 1 qufmo efrn 4> 20 =6 wdr 46 yniihw

    ]tnp F 1 yniihw qufmo efrn 4> 20 =6 wdr 46

    ]tnp FF 1 yniihw 4> qufmo efrn 20 =6 wdr 46

    ]tnp FFF1 yniihw 4> wdr qufmo efrn 20 =6 46

    ]tnp FU1 yniihw 4> wdr 46 qufmo efrn 20 =6

    ]tnp U 1 yniihw 4> wdr 46 qufmo 20 efrn =6

    Dkj ]tnp U fs t`n idst stnp he t`n dbhvn fkput+

    Ds pnr t`n ruins ehiihwnj fk t`n dbhvn stnps) efkj hut fk ndm` he t`n ehiihwfkg qunstfhks t`n dpprhprfdtn

    stnp ehr t`n gfvnk fkput+

    64+ ]tnp FF he dk fkput fs 1 znbrd 42 bdko mdrrfdgn :5 =4 26 jusoW`fm` he t`n ehiihwfkg stnps wfii bn t`n idst but hkn 8

    (D& U (B& UF (M& UFF (J& UFFF

    62+ Fkput 1 dgn jfn 72 >= => hij ghdi 25

    @hw ldky stnps wfii bn rnqufrnj th mhlpintn t`n rndrrdkgnlnkt8

    (D& Ehur (B& Efvn (M& ]fx (J& ]nvnk

    6=+ ]tnp FF he dk fkput fs 1 wfk 42 62 ehr 04 diwdys =5 hln

    W`fm` he t`n ehiihwfkg wfii bn ]tnpUFF 8

    (D& wfk 42 `hln =5 62 ehr 04 diwdys

    (B& wfk 42 `hln =5 ehr 62 diwdys 04

    (M& wfk 42 `hln 62 ehr 04 diwdys =5(J& Khkn he t`nsn

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    LDZXKZ]N ]ZDGN,FF LHMO ZN]Z SDSNR,=XSDGN - 4>]DZXKZ]N ]ZDGN,FF LHMO ZN]Z SDSNR,=XSDGN - 4>

    6:+ ]tnp FFF he dk fkput fs 1 trdfk 2= stdr 54 =2 edii drj >=

    W`fm` he t`n ehiihwfkg fs jnefkftniy t`n fkput8

    (D& 2= stdr 54 trdfk =2 edii `drj >=

    (B& stdr trdfk 54 2= =2 edii `drj >=

    (M& 54 stdr 2= trdfk =2 edii `drj >=

    (J& Mdkkht bn jntnrlfknj

    6>+ Z`nrn drn >3 stujnkts djlfttnj th d kursnry midss+ ]hln stujnkts mdk spndo hkiy Nkgifs` dkj shln mdk

    spndo hkiy @fkjf+ Znk stujnkts mdk spndo bht` Nkgifs` dkj @fkjf+ Fe t`n kulbnr he stujnkts w`h mdk

    spndo Nkgifs` fs 24) t`nk hw ldky stujnkts mdk spndo @fkjf) hw ldky mdk spndo hkiy @fkjf dkj hw

    ldky mdk spndo hkiy Nkgifs` 8

    (D& =6) 26 dkj 44 rnspnmtfvniy (B& =7) 27 dkj 4= rnspnmtfvniy

    (M& 20) 40 dkj 22 rnspnmtfvniy (J& 24) 44 dkj 26 rnspnmtfvniy

    Jfrnmtfhks (65 th 433& 1 Fk ndm` he t`n ehiihwfkg qunstfhks) twh stdtnlnkts drn gfvnk ehiihwnj by t`rnn hr ehur

    mhkmiusfhks kulbnrnj F) FF) FFF dkj FU+ Vhu dvn th tdon t`n gfvnk stdtnlnkts th bn trun nvnk fe t`ny snnl

    th bn dt vdrfdkmn erhl t`n mhllhkiy okhwk edmts dkj t`nk jnmfjn w`fm` he t`n gfvnk mhkmiusfhks ihgfmdiiy

    ehiihws erhl t`n gfvnk stdtnlnkts jfsrngdrjfkg mhllhkiy okhwk edmts+

    65+ ]tdtnlnkts 1 Dii phiftfmfdks drn hknst+ Dii hknst drn edfr+

    Mhkmiusfhks 1F+ ]hln hknst drn phiftfmfdk+

    FF+ Kh `hknst fs phiftfmfdk+FFF+ ]hln edfr drn phiftfmfdk+ FU+ Dii edfr drn phiftfmfdk+

    (D& Khkn ehiihws (B& Hkiy F ehiihws

    (M& Hkiy F dkj FF ehiihw (J& Hkiy F dkj FFF ehiihw

    67+ ]tdtnlnkts 1 ]hln bhhos drn pnks+ Kh pnk fs pnkmfi+

    Mhkmiusfhks 1 F+ ]hln pnks drn bhhos+ FF+ ]hln pnkmfis drn bhhos+

    FFF+ ]hln bhhos drn kht pnkmfis+ FU+ Dii pnkmfis drn bhhos+

    (D& Hkiy F ehiihws (B& Hkiy FF dkj FFF ehiihw

    (M& Hkiy F dkj FFF ehiihw (J& Hkiy F dkj FF ehiihw

    60+ ]tdtnlnkts 1 ]hln tdbins drn ZUs+ ]hln ZUs drn rdjfhs+

    Mhkmiusfhks 1 F+ ]hln tdbins drn rdjfhs+ FF+ ]hln rdjfhs drn tdbins+

    FFF+ Dii rdjfhs drn ZUs+ FU+ Dii ZUs drn tdbins+

    (D& Khkn ehiihws (B& Dii ehiihws

    (M& Hkiy F dkj FFF ehiihw (J& Hkiy FF dkj FU ehiihw

    66+ ]tdtnlnkts 1 ]hln husns drn heefmns+ ]hln heefmns drn sm`hhis+

    Mhkmiusfhks 1 F+ ]hln sm`hhis drn husns+ FF+ ]hln heefmns drn husns+

    FFF+ Kh husn fs sm`hhi+ FU+ ]hln sm`hhis drn heefmns+

    (D& Hkiy FF dkj FFF ehiihw (B& Hkiy F dkj FU ehiihw

    (M& Hkiy nft`nr FFF hr FU) dkj F ehiihw (J& Hkiy FF dkj FU dkj nft`nr F hr FFF ehiihw

    433+ ]tdtnlnkts 1 Dii tfgnrs drn aukgins+ Kh aukgins drn bfrjs+ ]hln bfrjs drn rdfks+

    Mhkmiusfhks 1 F+ Kh rdfk fs aukgin+ + FF+ ]hln rdfks drn aukgins+

    FFF+ Kh bfrjs fs tfgnr+ FU+ Dii bfrjs drn tfgnrs+

    (D& Hkiy F dkj FF ehiihw (B& Hkiy FFF ehiihws

    (M& Hkiy nft`nr F hr FF) dkj FFF ehiihw (J& Hkiy FF ehiihws