102

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Page 1: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

39.00 J[UV 3.ar

Page 2: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk
Page 3: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk
Page 4: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk
Page 5: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk
Page 6: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

C M Y K

"bpmL$p¡“p das A“¡ afrS>eps rinZ“p¡ Ar^L$pf Ar^r“ed - 2009' A“¡ "fpóV²$ue Aæepk¾$d ê`f¡Mp - 2005' “¡ “S>f kdn fpMu dlpfpóV²$ fpÄedp„ âp’rdL$ rinZ Aæepk¾$d - 2012 s¥epf L$fhpdp„ Apìep¡. Ap ipk“dpÞe Aæepk¾$d D‘f Ap^pqfs NrZs ^p¡fZ ‘l¡gp’u ^p¡fZ ApW$dp ky^u“p ‘pW$é‘yõsL$p¡“u “hu i©„Mgp 2013 - 2014 “p ipg¡e hj®’u sb½$phpf ‘pW$é‘yõsL$ d„X$m âL$pris L$f¡ R>¡. Ap i©„Mgp“y„ NrZs ^p¡fZ ÓuÅ“y„ Ap ‘pW$é‘yõsL$ Ap‘“p lp’dp„ d|L$sp rhi¡j Ap“„v$ ’pe R>¡.

AÝee“ AÝep‘““u âq¾$ep bpgL¡$ÞÖu b“u fl¡, L©$rsâ^p““p A“¡ op“fQ“phpv$ ‘f cpf d|L$hpdp„ Aph¡, âp’rdL$ rinZ“p A„s¡ rhÛp’}Ap¡ gOyÑd ndsp âpàs L$f¡, s¡dS> rinZ“u âq¾$ep f„S>L$ A“¡ Ap“„v$v$peu b“u fl¡, s¡ Ö[óV$L$p¡Z“¡ “S>f kpd¡ fpMu Ap ‘yõsL$“u fQ“p L$fhpdp„ Aphu R>¡.

rhÛp’}Ap¡dp„ Ly$v$fsu fus¡ fl¡gu rQÓ âÐe¡“u fyyrQ A“¡ ‘p¡sp“u Ås¡ L„$CL$ L$fhp“p DÐkpl“¡ Ýep“dp„ fpMu“¡ Ap ‘yõsL$ rQÓê$‘ A“¡ L©$rsâ^p“ fpMhp“p¡ âeГ L$ep£ R>¡. rQÓp¡ i¼e s¡V$gp bp¡gL$p A“¡ NrZs“u k„L$ë‘“p“¡ õ‘óV$ L$fhpdp„ dv$v$ê$‘ ’pe s¡hp R>¡.

NrZs“p k„bp¡^“y„ ‘y“fphs®“ ’pe, s¡“y„ ÖY$uL$fZ ’pe, AÝee“ kfm b“¡, dpV¡$ ‘yõsL$dp„ î¡ZubÙ "õhpÝepe' A“¡ "k„hpv$'“p¡ kdph¡i L$fhpdp„ Apìep¡ R>¡. õhpÝepe“p âñp¡ rhÛp’}Ap¡ õhâeГ¡ DL¡$g¡ s¡hu A‘¡np R>¡. õhpÝepe L„$V$pmpS>“L$ “ b“¡ s¡ dpV¡$ s¡dp„ rhrh^sp gphhp“p¡ âeГ L$ep£ R>¡.

âÐe¡L$ ‘pW$“p k„v$c£ rinL$ ‘pk¡’u rhÛp’}Ap¡ kpd¡ hp‘fhp“u cpjp dpV¡$ S>¡ A‘¡np R>¡ s¡ S> ‘pW$é‘yõsL$dp„ Ap‘u R>¡ ; s¡dS> rinL$ dpV¡$ L¡$V$gpL$ ‘©óW$p¡ D‘f Sy>v$u k|Q“p Ap‘¡gu R>¡. AÝep‘“ h^pf¡dp„ h^pf¡ L©$rsâ^p“ b“¡ s¡ dpV¡$ k|Q“p A“¡ D‘¾$d Ap‘hpdp„ Apìep R>¡.

Ap ‘pW$é‘yõsL$ h^pf¡dp„ h^pf¡ nrsfrls A“¡ NyZhÑpkcf b“¡, A¡ Ö[óV$A¡ dlpfpóV²$“p v$f¡L$ cpN“p Q|„V¡$gp rinL$, s¡dS> L¡$V$gp„L$ rinZ sÄop¡ A“¡ rhje sÄop¡ ‘pk¡ Ap ‘yõsL$“y„ kdunZ L$fphhpdp„ Apìey„ R>¡. rinL$ A“¡ hpguAp¡“p Aph¡gp ‘Óp¡, hs®dp“‘Ódp„ R>‘pe¡gu V$uL$pÐdL$ bpbsp¡ A“¡ k|Q“p“p¡ rhQpf Ap ‘pW$é‘yõsL$ s¥epf L$fsu hMs¡ L$fhpdp„ Apìep¡ R>¡. Ap v$f¡L¡$ Ap‘¡gp klL$pe® dpV¡$ d„X$m s¡d“y„ Apcpfu R>¡. Aph¡gu k|Q“p A“¡ Arcâpe“p¡ ep¡Áe rhQpf L$fu“¡ S> NrZs rhje krdrsA¡ Ap ‘yõsL$“¡ A„rsd õhê$‘ Apàey„ R>¡.

d„X$m“u NrZs rhje krdrs, L$pe®NV$, îu. rh. Np¡X$bp¡g¡ (r“d„rÓs) A“¡ rQÓL$pf“p r“óW$p‘|h®L$“p ‘qfîd Üpfp Ap ‘yõsL$ s¥epf ’ey„ R>¡. d„X$m Ap v$f¡L$“y„ d“:‘|h®L$ Apcpfu R>¡. `yõsL$_y„ NyZhÑp `funZ L$fu Ap`hp bv$g îudsu sfyb¡_ `p¡`V$_p¡ `Z Apcpf.

rhÛp’}, rinL$ A“¡ hpguAp¡ Ap ‘yõsL$“y„ õhpNs L$fi¡ s¡hu Apip R>¡.

(Q„. fp. bp¡fL$f)‘yZ¡ k„QpgL$spfuM $ : 4 qX$k¢bf, 2013 dlpfpóV²$ fpÄe ‘pW$é‘yõsL$ r“rd®rs A“¡ 13 dpNif, 1935 Aæepk¾$d k„ip¡^“ d„X$m, ‘yZ¡ 411 004.

âõsph“p

F

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Page 8: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk
Page 9: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk
Page 10: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

- rinL$ dpV¡$ : ‘|W$p„ D‘f Ap‘¡gp A“¡ AÞe ‘Z A“¡L$ Sy>v$pSy>v$p ApL$pf L$p‘u“¡ V¡$bg D‘f d|L$hp. s¡“y„ rÓL$p¡Z, g„bQp¡fk,Qp¡fk A“¡ hsy®m A¡hy„ hN}L$fZ L$fphhy„. s¡dp„’u L¡$V$gp„L$ ApL$pfp¡“y„ D‘f“p âL$pfdp„ hN}L$fZ ’i¡ “rl, s¡ rhÛp’}-Ap¡“p Ýep“dp„ gphhy„.

Page 11: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

2

bpSy> A“¡ M|Zp

bfau“p¡ V|$L$X$p¡ Sy>Ap¡. bfau“p¡ V|$L$X$p¡ QsyóL$p¡Z R>¡.QsyóL$p¡Z“¡ Qpf bpSy> A“¡ Qpf M|Zp lp¡e R>¡.

V¡$bg“p ‘©›$cpN“y„ (k‘pV$u“y„) r“funZ L$fp¡.F V¡$bg“p ‘©›$cpN“¡ L¡$V$gu bpSy> R>¡ ? F V¡$bg“p ‘©›$cpN“¡ L¡$V$gp M|Zp R>¡ ?F V¡$bg“p ‘©›$cpN“p¡ ApL$pf ¼ep¡ ?

n g„bQp¡fk

F bpSy>dp„ bspìep âdpZ¡ A¡L$ g„bQp¡fk ApL$pf“p¡ L$pNm gp¡.

g„bQp¡fk“¡ bpSy> L¡$V$gu A“¡ M|Zp L¡$V$gp ?

lh¡ kpdkpd¡“u bpSy> A¡L$buÅ kp’¡ Å¡X$hp dpV¡$ L$pNm“u Apd hÃQp¡hQ NX$u hpmuA¡.

Sy>Ap¡ ! dp¡V$u bpSy>, kpd¡“u bpSy> kp’¡ b„^ b¡ksu Aph¡ R>¡.

“p“u bpSy>, kpd¡“u bpSy> kp’¡ b„^b¡ksu Aph¡ R>¡.

g„bQp¡fk“u kpdkpd¡“u bpSy> kfMu g„bpC“u lp¡e R>¡.

n Qp¡fk

ê$dpg“y„ r“funZ L$fuA¡.

Ap Qp¡fk R>¡.

F Qp¡fk“¡ bpSy> A“¡ M|Zp L¡$V$gp„ ?

ê$dpg“u ApX$u A“¡ Ecu NX$u hpmu“¡ kpdkpd¡“u bpSy> kdp“ g„bpC“u R>¡ L¡$ ?s¡ Sy>Ap¡.

lh¡ ê$dpg“p kpdkpd¡“p M|Zp A¡L$buÅ kp’¡ b„^ b¡k¡ R>¡ L¡$, s¡ Å¡hp dpV¡$

Apd NX$u hpmuA¡.

M|Zp b„^ b¡k¡ R>¡ A“¡ ‘pk‘pk¡“u bpSy> ‘Z A¡L$buÅ kp’¡ b„^b¡ksu Aph¡ R>¡.

Page 12: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

3

lh¡ ê$dpg“u afu’u NX$u hpmp¡. b^u bpSy>Ap¡ A¡L$buÅ ‘f b„^b¡ksu Aph¡ R>¡.

s¡’u Qp¡fk“u Qpf¡e bpSy> kdp“ g„bpC“u lp¡e R>¡.

ê$dpg“u NX$u hpmhp’u rÓL$p¡Z dþep¡, s¡ Ýep“dp„ fpMp¡.

n rÓL$p¡Z

F rÓL$p¡Z“¡ bpSy> L¡$V$gu ? M|Zp L¡$V$gp„ ?

‘qfkfdp„ Ap‘Z“¡ Ap ApL$pf ¼ep„ ¼ep„ v$¡Mpe R>¡, s¡ ip¡^p¡.

kmu“p¡ D‘ep¡N L$fu“¡ “uQ¡“p ApL$pf s¥epf L$fp¡.

QsyóL$p¡Z , g„bQp¡fk , Qp¡fk , rÓL$p¡Z

F “uQ¡“p¡ s¼sp¡ ‘|Z® L$fp¡.

ApL©$rs ApL©$rs“y„ “pd bpSy>“u k„¿ep M|Zp“u k„¿ep

- rinL$ dpV¡$ : f„Nu“ L$pNm“p g„bQp¡fk, Qp¡fk, rÓL$p¡Z ApL$pf“p V|$L$X$p L$p‘u“¡ fpMhp. s¡“p NyZ^d® rhÛp’}Ap¡“¡ s‘pkhp dpV¡$ L$l¡hy„. hsy®m“u bpSy> h¾$pL$pf lp¡e R>¡ A“¡ hsy®®m“¡ M|Zp lp¡sp “’u, s¡ rhÛp’}Ap¡“p Ýep“dp„ gphhy„.

Page 13: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

4

n ‘p„Q Vy$L$X$pdp„’u V¡$“N°¡d s¥epf L$fhp“u ‘Ùrs.

A¡L$ Qp¡fk ApL$pf“p¡ L$pNm gp¡.

s¡ L$pNm“u NX$u hpmu“¡ Qp¡fk“y„ dÝetbvy$ ip¡^p¡. s¡hu S> fus¡ Qpf¡e

bpSy>“p dÝetbvy$ D‘f r“ip“u L$fp¡. Qp¡fk“y„ dÝetbvy$ A“¡ bpSy>“p

dÝetbvy$Ap¡“¡ ApL©$rsdp„ v$ip®ìep âdpZ¡ guV$u v$p¡fu Å¡X$p¡.

ApL©$rsdp„ v$ip®ìep âdpZ¡ guV$u ‘f’u L$p‘u“¡ ‘p„Q V|$L$X$p s¥epf L$fp¡.

n bpSy>“p V¡$“N°¡d“p¡ D‘ep¡N L$fu“¡ “uQ¡“p âñp¡“p S>hpb ip¡^p¡.

F sdpfp V¡$“N°¡ddp„ L¡$V$gp rÓL$p¡Z R>¡ ?

F b^p rÓL$p¡Z kfMp dp‘“p R>¡ L¡$ ?

F b¡ rÓL$p¡Z Å¡X$u“¡ A¡L$ Qp¡fk s¥epf L$fu iL$pi¡ L¡$ ?

F b¡ rÓL$p¡Z Å¡X$u“¡ dp¡V$p¡ rÓL$p¡Z s¥epf ’i¡ L¡$ ?

F Apdp„ L¡$V$gp Qp¡fk R>¡ ? L¡$V$gp„ QsyóL$p¡Z R>¡ ?

F “uQ¡ V$‘L$p„hpmp L$pNm D‘f v$p¡f¡gu ApL©$rsAp¡ Ap¡mMp¡. s¡dp„’u rÓL$p¡Z gpg f„N’u Qp¡fk c|fp f„N’u

A“¡ g„bQp¡fk gugp f„N’u f„Np¡.

- rinL$ dpV¡$ : v$p¡fu“u dv$v$’u hsy®m, g„bQp¡fk, Qp¡fk, rÓL$p¡Z S>¡hp ApL$pfp¡ v$p¡fhp“y„ rhÛp’}Ap¡“¡ L$lp¡. Sy>v$pSy>v$p V¡$“N°¡d d¡mhu“¡s¡dp„’u Sy>v$uSy>v$u ApL©$rsAp¡ s¥epf L$fhp dpV¡$ rhÛp’}Ap¡“¡ âp¡Ðkpl“ Ap‘hy„.

1 23

45

1 2

5 4

3

Page 14: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

5

k„¿epop“

F “uQ¡“p s¼spdp„ 1 ’u 10 k„¿ep“p Qp¡fk gpgf„N’u 11 ’u 20 k„¿ep“p Qp¡fk gugp f„N’u .... Ap âdpZ¡ Sy>v$pSy>v$p f„Np¡“p¡ D‘ep¡N L$fu“¡ b^p Qp¡fk f„Np¡.

99 19 78 45 59 80 67 98 46 47

18 82 79 8 40 39 97 5 68 26

51 4 58 88 13 75 17 95 52 16

83 81 71 34 87 1 96 38 25 27

32 77 2 76 12 63 53 60 9 37

65 10 100 14 64 24 11 94 93 36

31 72 41 55 29 54 22 35 3 48

84 30 15 6 86 23 62 61 70 69

57 66 56 73 33 89 7 42 92 49

44 85 28 74 20 50 90 91 21 43

n 26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk31 A¡L$Óuk 32 bÓuk 33 s¡Óuk 34 Qp¡Óuk 35 ‘p„Óuk36 R>Óuk 37 kpX$Óuk 38 ApX$Óuk 39 Ap¡NZQpguk 40 Qpguk41 A¡L$spguk 42 b¡spguk 43 s¡spguk 44 Qydpguk 45 r‘õspguk46 R>¡spguk 47 kyX$spguk 48 AX$spguk 49 Ap¡NZ‘Qpk 50 ‘Qpk 51 A¡L$ph“ 52 bph“ 53 Ó¡‘“ 54 Qp¡‘“ 55 ‘„Qph“56 R>à‘“ 57 kÑph“ 58 AÌ$ph“ 59 Ap¡NZkpluW$ 60 kpluW$61 A¡L$kW$> 62 bpkW$> 63 Ó¡kW$> 64 Qp¡kW$> 65 ‘p„kW$66 R>p„kW$> 67 kX$kW$> 68 AX$kW$> 69 Ap¡NZrkÑ¡f 70 rkÑ¡f71 A¡L$p¡s¡f 72 bp¡s¡f 73 sp¡s¡f 74 Qydp¡s¡f 75 ‘„Qp¡s¡f76 R>p¡s¡f 77 rkÑp¡s¡f 78 BÌ$p¡s¡f 79 Ap¡NZA¢iu 80 A¢iu81 A¡¼ep„iu 82 åep„iu 83 Ôep„iu 84 Qp¡ep®iu 85 ‘„Ãepiu86 R¹>ep„iu 87 kÐepiu 88 AW$épiu 89 “¡ìepiu 90 “¡hy„91 A¡L$pÏ 92 bpÏ 93 ÓpÏ 94 Qp¡fpÏ 95 ‘„QpÏ96 R>ßy 97 kspÏ 98 AÌ$pÏ 99 “ìhpÏ

- rinL$ dpV¡$ : gpv$u D‘f k„¿ep gMu“¡ A’hp k„¿epL$pX®$ d|L$u“¡ s¡“u Apk‘pk rhÛp’}Ap¡“¡ Ecp fpMu ¾$d âdpZ¡ k„¿epip¡^hp“u fds fdpX$hu.

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6

isL$“u Ap¡mM

bl¡“ : sdpfp v$f¡L$“y„ L$l¡hy„ kpQy„ R>¡. Ap S> k„¿ep v$f¡L¡$ Sy>v$uSy>v$u fus¡ L$lu. isL$ A¡V$g¡ kp¡ A¡L$d A’hp aL$s kp¡, v$k v$iL$ A¡V$g¡ kp¡, k¢L$X$p A¡V$g¡ kp¡ A“¡ A¡L$kp¡ A¡V$g¡ ‘Z kp¡.

kp¡“yA¡ Ap dpmp“p 100 dp¡su bV$hpdp„ “p„¿ep. Ap ’ep¡ isL$“p¡ bV$hp¡.

V$p¡“u : Ap kp¡ Np¡V$uAp¡ R>¡.

kgdp : d¢ Ap b„NX$uAp¡ NZu. s¡ 10 v$iL$ R>¡.

“„vy$ : d¢ A¡L$kp¡ f“ L$ep¯. A¡V$g¡ L¡$, A¡L$ isL$ ‘|Z® L$ey¯.

kp¡“y : A¡L$ k¢L$X$p A¡V$g¡ S> 100 k„sfp gphu.

i

20 ê$r‘ep“u 5 “p¡V$p¡ A¡V$g¡ ê$r‘ep, A¡V$g¡ 1 isL$ ê$r‘ep.

v$iL$ v$uhpkmuAp¡ / L$p„X$uAp¡ A¡V$g¡ 1 isL$ v$uhpkmuAp¡.

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7

v$ v$ v$ v$ v v v v v v

v v v v$ v v v v v v

v v v v v v v v v v

‘|Z® isL$

9 dp¡su A“¡ 1 dp¡su dmu“¡ 10 dp¡su.10 hõsy“p¡ kd|l A¡V$g¡ A¡L$ v$iL$.

v$ A¡ 99 kp¥’u dp¡V$u b¡ A„L$u k„¿ep R>¡. 9 9 s¡dp„ 1 Dd¡fhp’u 100 A¡ ÓZ A„L$u + 1 k„¿ep s¥epf ’C. 1 0 0

100 Ap ÓZ A„L$u k„¿epdp„ v$iL$“u X$pbu bpSy> “hy„ õ’p“ isL$“y„ R>¡.100 A¡V$g¡ i v$ A¡ 100 A¡ ÓZ A„L$u k„¿ep R>¡. 1 0 0

bkp¡ ÓZkp¡

Qpfkp¡ ‘p„Qkp¡

“hkp¡

10 v$iL$ A¡V$g¡ 1 isL$

A¡V$g¡ A¡L$kp¡ (100)

20 v$iL$ A¡V$g¡ 2 isL$ A¡V$g¡ bkp¡ (200)

40 v$iL$ A¡V$g¡ S> isL$ A¡V$g¡ Qpfkp¡ (400)

50 v$iL$ A¡V$g¡ 5 isL$ A¡V$g¡ ‘p„Qkp¡ (500)

v v v v v v v v v v

v v v v v v v v v v

v v v v v v v v v v

v v v v v v v v v v

v v v v v v v v v v

v v v v v v v v v v

v v v v v v v v v v

v v v v v v v v v v

v v v v v v v v v v

i i i i i i i i i

i i i i i

iii

i i i i

i i

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8

- rinL$ dpV¡$ : 100 Qp¡L$“y„ bp¡¼k, 10 Qp¡L$“y„ ‘¡L¡$V$ A“¡ R|>V$p Qp¡L$“p¡ D‘ep¡N L$fu“¡ k„¿ep gMhp L$l¡hy„.

1

1

1

1

1

1

1

1

1

1

0

0

0

0

0

0

0

0

0

1

1

2

3

4

5

6

7

8

9

0

ÓZ A„L$u k„¿ep : Ap¡mM

F Mpgu Mp“pdp„ k„¿ep iåv$dp„ gMp¡.

Qp¡L$ isL$ v$iL$ A¡L$d$

k„¿ep

A„L$dp„ g¡M“

iåv$dp„ g¡M“

101 A¡L$kp¡ A¡L$

102 A¡L$kp¡ b¡

103

104

105

106

107

108

109

110

i

i

i

i

i

i

i

i

i

i

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9

i

254 bkp¡ Qp¡‘“

617 R>kp¡ kÑf

i i i i i i i

- rinL$ dpV¡$ : v$f¡L$dp„ 100 dp¡su lp¡e s¡hp bV$hp, v$f¡L$dp„ 10 dp¡su lp¡e s¡hu dpmp A“¡ L¡$V$gp„L$ R|>V$p dp¡su gC“¡ rhÛp’}Ap¡“¡ 3A„L$u k„¿ep s¥epf L$fhp Ap‘hu. bV$hp, dpmp, R|>V$p dp¡su“u S>Áep A’p®s õ’p“ bv$gu s¡ k„L¡$s L¡$ k|Q“p âdpZ¡ ep¡Áe fus¡ k„¿ep gMhp“p¡ M|b dlphfp¡ Ap‘hp¡.

ÓZ A„L$u k„¿ep : Ap¡mM

F s¼spdp„ v$ip®ìep âdpZ¡ dZL$pOp¡X$udp„ ep¡Áe s¡V$gp„ dZL$p “p„Mp¡.

s¡ ‘f’u k„¿ep A„L$dp„ A“¡ iåv$dp„ gMp¡ :

i v$ A¡

i v$ A¡

i v$ A¡

i v$ A¡

vi i i i i i

v v vi i i i

v v v v

i i i i i i i

v v v vv v v v

i i i i i

v$v$ v$ v$ v$

v$v$v$v$

i i i i

v$v$ v$v$ v$v$ v$ v$ v$

i

v v v v vii

i v$ A¡

i v$ A¡

i v$ A¡

i v$ A¡

Page 19: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

10

101

102

103

104

105

107

109

110

211

212

213

214

216

217

219

220

321

323

325

327

328

330

431

432

434

435

437

438

440

541

543

544

547

550

651

652

655

657

659

761

762

764

766

768

770

871

872

874

875

877

880

981

982

985

988

990

1

32

123, 132, 213, 231, 312, 321

305, 350, 530, 503 3

50

6

87

1

2

6

4

5

9

3

70

- rinL$ dpV¡$ : ’p‘ A¡V$g¡ isL$, spmu A¡V$g¡ v$iL$, Q‘V$u A¡V$g¡ A¡L$d A¡d kdÆ k„¿ep s¥epf L$fphhu.

ÓZ A„L$u k„¿ep : g¡M“ A“¡ hp„Q“ F Mp“pdp„ ep¡Áe k„¿ep gMp¡ A“¡ k„¿ep hp„Qp¡.

F Ap‘¡gp A„L$p¡“p kd|ldp„’u âÐe¡L$ A„L$“p¡ A¡L$ S> hMs D‘ep¡N L$fu“¡ ÓZ A„L$u k„¿ep s¥epf L$fp¡.

035, 053 Ap ÓZA„L$u k„¿ep “’u s¡ Ýep“dp„ fpMp¡. L$pfZL¡$ Ap k„¿ep b¡ A„L$“p¡ D‘ep¡N L$fu“¡ 35, 53 A¡d gMpe R>¡. D‘f âdpZ¡ k„¿ep s¥epf L$fp¡.

L$p¡C‘Z ÓZA„L$u k„¿ep gp¡, s¡dp„“p isL$õ’p““p¡ A„L$ bv$gu“¡ “hu k„¿ep s¥epf L$fp¡, s¡hu S> fus¡ v$iL$ A“¡ A¡L$d õ’p““p A„L$ bv$gu“¡ “hu k„¿ep s¥epf L$fp¡.

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11

‘l¡gp„“u k„¿ep, ‘R>u“u k„¿ep

F “uQ¡“u k„¿ep‘Ë$udp„“u k„¿ep hp„Qp¡.

99 100 101 102 103 104 105 106 107 108 109 110

215 216 217 218 219 220 221 222 223 224 225 226

399 400 401 402 403 404 405 406 407 408 409 410

F D‘f“u k„¿ep‘Ë$u“u dv$v$’u sfs Aphsu ‘R>u“u k„¿ep gMp¡.

D 105, D 220, D 409, D 219,

F D‘f“u k„¿ep‘Ë$u“u dv$v$’u sfs Aphsu ‘l¡gp„“u k„¿ep gMp¡.

D , 400 D , 107 D , 218 D , 110

F D‘f“u k„¿ep‘Ë$u“u dv$v$’u sfs Aphsu ‘l¡gp„“u A“¡ ‘R>u“u k„¿ep gMp¡.

D , 217 , D , 100 , D , 409 ,

F Ap‘¡gu k„¿ep ‘R>u sfs Aphsu ApNm“u k„¿ep s¡ k„¿ep L$fsp L¡$V$gu dp¡V$u lp¡e R>¡ ?

F Ap‘¡gu k„¿ep“u sfs ‘l¡gpp„ Aphsu k„¿ep s¡“p’u L¡$V$gu “p“u lp¡e ?

F 435 dp„ 1 Dd¡fhp’u Aphsu k„¿ep L$C ?

F 435 dp„’u 1 bpv$ L$fhp’u Aphsu k„¿ep L$C ?

F sfs S> Aphsu ApNm“u A“¡ ‘pR>m“u k„¿ep gMp¡.

D , 119 , D , 200 , D , 391 ,

D , 599 , D , 800 , D , 707 ,

F Ap‘¡gu k„¿ep“u ApNm“u L$p¡C‘Z ÓZ k„¿ep gMp¡.

D 555, , , D 399, , ,

F Ap‘¡gu k„¿ep“u ‘pR>m“u L$p¡C‘Z ÓZ k„¿ep gMp¡.

D , , , 500 D , , , 601

600 650 977

118 120

- rinL$ dpV¡$ : 100, 199, 300, 499, 201, 590 A“¡ A¡hu AÞe k„¿ep“u ApNm“u A“¡ ‘pR>m“u k„¿ep L$l¡hp“p¡ dlphfp¡ L$fphhp¡.

99 312 407

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12

C M Y K12

“p“p-dp¡V$p‘Zp dpV¡$ rQŒp¡“p¡ D‘ep¡N < , >

Fk„¿ep“y„ “p“p dp¡V$p‘Ï„ “½$u L$fp¡.

k„¿ep 8, 2 77, 59 39, 9 14, 35 67, 32

“p“u k„¿ep

dp¡V$u k„¿ep

nrQŒp¡“p¡ D‘ep¡N

5 > 2 “y„ hp„Q“ : 5 dp¡V$p 2 L$fsp„ 2< 5 “y„ hp„Q“ : 2 “p“p 5 L$fsp„

27 < 40 “y„ hp„Q“ : 27 “p“p 40 L$fsp„ 91 > >49 “y„ hp„Q“ : 91 dp¡V$p 49 L$fsp„

F “uQ¡“p Qp¡fkdp„ >, > A“¡ < ‘¥L$u ep¡Áe rQŒ gMp¡.

10 9 9 10 5 3 3 5

50 49 49 50 23 25 73 75

500 499 499 500 500 300 600 400

V$p¡“u : Ap‘¡gu b„“¡ k„¿ep b¡ A„L$u li¡, sp¡ s¡“y„ “p“p dp¡V$p‘Ï„ Ap‘Z¡ “½$u L$fu iL$uA¡ ;

‘Z A¡L$ k„¿ep b¡ A„L$u A“¡ A¡L$ k„¿ep ÓZ A„L$u li¡ sp¡ ?

bl¡“ : ‘l¡gp b¡ A„L$u k„¿epdp„’u kp¥’u dp¡V$u k„¿ep L$lp¡ Å¡CA¡ !

V$p¡“u : kl¡gy„ R>¡. b^u b¡ A„L$u k„¿epdp„ 99 kp¥’u dp¡V$u k„¿ep R>¡. 99 L$fsp dp¡V$u sfs“u k„¿ep 100

R>¡. s¡ sp¡ ÓZ A„L$u k„¿ep R>¡.

bl¡“ : sp¡ ‘R>u sd“¡ kdÅey„ “¡, b¡ A„L$u k„¿ep 99 A’hp 99 L$fsp “p“u lp¡e R>¡, dpV¡$ s¡ 100 L$fsp„

“p“u R>¡. ÓZ A„L$u k„¿ep 100 A’hp 100 L$fsp„ dp¡V$u lp¡e R>¡.

V$p¡“u : Ap D‘f’u Ýep“dp„ Aph¡ R>¡ L¡$, ÓZ A„L$u k„¿ep l„d¡ip b¡ A„L$u k„¿ep L$fsp„ dp¡V$u S> lp¡e R>¡.

kgdp : A¡ S fus¡>rhQpf L$fuA¡, sp¡ b¡ A„L$u k„¿ep, A¡L$ A„L$u k„¿ep L$fsp„ dp¡V$u S> lp¡e R>¡ “¡ ?

bl¡“ : bfpbf !

YYYYY

YY

YY

YYYYY

>

27 40 91 49

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13

C M Y K13

“p“p-dp¡V$p‘Ï„ (ApNm Qpgy)

“„vy$ : ÓZ A„L$u b¡ k„¿ep lp¡e, sp¡ s¡dp„’u “p“u-dp¡V$u k„¿ep L¡$hu fus¡ Ap¡mMhp“u ?

bl¡“ : ’p¡X$p kl¡gp Dv$plfZp¡ Å¡CA¡. 500 A“¡ 300 Ap k„¿ep Sy>Ap¡. Apdp„’u L$C k„¿ep dp¡V$u R>¡ ?

kgdp : 5 isL$ 3 isL$ L$fsp„ dp¡V$p R>¡. dpV¡$ 500 > 300.

bl¡“ : lh¡ 325 A“¡ 625 Ap b„“¡ k„¿epAp¡ Sy>Ap¡. Al] b„“¡ k„¿epdp„“p v$iL$ kfMp A“¡ A¡L$d

‘Z kfMp R>¡ ; ‘Z 6 isL$ 3 isL$ L$fsp dp¡V$p R>¡, dpV¡$ 625 >325.

V$p¡“u : Ap‘¡gu b„“¡ k„¿epdp„ isL$, v$iL$, A¡L$d bOp S> Sy>v$pSy>v$p lp¡e, sp¡ iy„ L$fhp“y„ ?

bl¡“ : 495 A“¡ 812 Ap k„¿ep Sy>Ap¡. 495 dp„ isL$“p Of“p¡ A„L$ 4 R>¡. s¡ 812 “p isL$“p A„L$

L$fsp„ “p“p¡ R>¡, s¡ dlÒh“y„ R>¡. Ap‘Z¡ ‘l¡gp 495 ‘R>u sfs Aphsu ‘|Z® isL$ k„¿ep L$C ?

V$p¡“u : s¡ 500 R>¡ A“¡ 495 < 500.

bl¡“ : 812 k„¿epdp„ isL$ 8 R>¡. Ap‘Z“¡ Mbf R>¡ L¡$ 500 < 800 A“¡ 800 < 812

dpV¡$ 495 < 812. Ap kdÅey„ L¡$ ?

V$p¡“u : lp, Ap fus¡ rhQpf L$fuA¡, sp¡ AOfy„ “’u.

“„vy$ : A¡V$g¡ ÓZ A„L$u b¡ k„¿ep Ap‘¡gu lp¡e, sp¡ S>¡“p isL$õ’p““p¡ A„L$ dp¡V$p¡, s¡ k„¿ep dp¡V$u.

F “p“u - dp¡V$u k„¿ep “½$u L$fp¡.

721 589 423 723 600 497

kgdp : ‘Z b„“¡ k„¿ep“p isL$“p Of“p A„L$ kfMp lp¡e sp¡ iy„ L$fhp“y„ ? 718 A“¡ 720 k„¿ep Sy>Ap¡.

bl¡“ : Ap ‘Z kl¡gy„ R>¡. isL$ kdp“ lp¡e, sp¡ v$iL$ A“¡ A¡L$d’u s¥epf ’e¡gu k„¿ep Sy>Ap¡.

kp¡“y : 720 A“¡ 718 dp„ 20 A“¡ 18 “u syg“p L$fhp“u “¡ ? 20 > 18 dpV¡$ 720 > 718.

bl¡“ : bfpbf R>¡. b¡ k„¿epdp„“p isL$õ’p““p A„L$ kfMp lp¡e, sp¡ S>¡“p v$iL$õ’p““p¡ A„L$ dp¡V$p¡

lp¡e, s¡ k„¿ep dp¡V$u. isL$ A“¡ v$iL$ õ’p““p A„L$ kfMp lp¡e, sp¡ A¡L$dõ’p““p¡ A„L$ Å¡C“¡

L$C k„¿ep dp¡V$u R>¡ s¡ “½$u L$fp¡.

F Ap‘¡gu k„¿ep“u Å¡X$uAp¡ hÃQ¡ >, < , > dp„’u ep¡Áe rQŒ gMp¡.

427 267, 150 501, 813 79, 300 624

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14

C M Y K14

QY$sp¡-Dsfsp¡ ¾$d

V$p¡“u, kp¡“y, kgdp A“¡ “„vy$“¡ NrZsdp„ “uQ¡ âdpZ¡ NyZ dþep. V$p¡“u 70, kgdp 87, kp¡“y 96, “„vy$ 85 Ap b^p„“p NyZ QY$sp ¾$ddp„ A“¡ Dsfsp ¾$ddp„ gMp¡. QY$sp¡ ¾$d : 70, 79, 85, 87 Dsfsp¡ ¾$d : 87, 85, 79, 70F “uQ¡“u k„¿ep“¡ QY$sp A“¡ Dsfsp ¾$ddp„ Np¡W$hp¡.

k„¿ep QY$sp¡ ¾$d Dsfsp¡ ¾$d

55, 63, 40, 80

69, 9, 59, 70

14, 29, 47, 39

F 122, 360, 325 k„¿ep“¡ QY$sp A“¡ F 801, 617, 847, 799 k„¿ep“¡ QY$sp A“¡ Dsfsp Dsfsp ¾$ddp„ Np¡W$hp¡. ¾$ddp„ Np¡W$hp¡. kp¥’u “p“u k„¿ep : 122 kp¥’u “p“u k„¿ep : 617 kp¥’u dp¡V$u k„¿ep : 360 lh¡ bpL$u flu 801, 847, 799 QY$sp¡ ¾$d : 122, 325, 360 Apdp„“u kp¥’u “p“u k„¿ep : 799

A“¡ 122 < 325 < 360 Apd ‘R>u bpL$u flu : 801, 847 ‘Z gMpe R>¡. s¡dp„ “p“u k„¿ep 801 A“¡ ‘R>u“u k„¿ep 847. Dsfsp¡ ¾$d : 360, 325, 122 QY$sp¡ ¾$d : 617, 799, 801, 847

A“¡ 360 > 325 > 122 Apd ‘Z Dsfsp¡ ¾$d : 847, 801, 799, 617 gMpe R>¡. F k„¿ep“p¡ QY$sp¡ ¾$d A“¡ Dsfsp¡ ¾$d

Ap‘¡gu k„¿ep QY$sp¡ ¾$d Dsfsp¡ ¾$d

217, 211, 215 211, 215, 217 217, 215, 211

500, 400, 100, 600 100, 400, 500, 600 600, 500, 400, 100

519, 419, 619 419, 519, 619 619, 519, 419

785, 757, 8, 81 8, 81, 757, 785 785, 757, 81, 8

15, 100, 81, 167 15, 81, 100, 167 167, 100, 81, 15

F “uQ¡“u k„¿ep QY$sp A“¡ Dsfsp ¾$ddp„ gMp¡. D 117, 69, 50, 8 D 217, 271, 270 D 365, 73, 12, 116

D 912, 27, 356 D 315, 215, 515 D 527, 8, 324, 63

D 88, 78, 75 D 500, 501, 499 D 285, 407, 589, 360

D 888, 788, 688 D 105, 107, 101, 102 D 909, 990, 999

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15

C M Y K15

Ap‘¡gp A„L$p¡dp„’u kp¥’u “p“u A“¡ kp¥’u dp¡V$u k„¿ep

bl¡“ : 2, 3, 5 Ap A„L$p¡dp„’u ÓZA„L$u k„¿ep s¥epf L$fuA¡.

kp¡“y : A¡L$ A„L$ A¡L$ S> hMs g¡hp“p¡ L¡$ ?

V$p¡“u : lp ! “tl sp¡ OZu b^u k„¿ep s¥epf ’i¡. S>¡d L¡$ 222, 232, 233, 323, 333, 235, 253 ... Apd OZu k„¿ep s¥epf ’i¡.

kgdp : âÐe¡L$ A„L$ A¡L$ S> hMs gCA¡, sp¡ dpÓ 235, 253, 325, 352, 532, 523 ApV$gu S> k„¿ep s¥epf ’i¡.

bl¡“ : lh¡ Apdp„“u k„¿ep“u syg“p L$fu “p“u-dp¡V$u k„¿ep “½$u L$fp¡ Å¡CA¡ !

V$p¡“u : Ap k„¿epdp„’u 532 A“¡ 523 k„¿ep“p isL$õ’p““p¡ A„L$ kp¥’u dp¡V$p¡ R>¡. Ap b¡ k„¿epAp¡ hÃQ¡ syg“p L$fsu hMs¡ 32 A¡ 23 L$fsp dp¡V$u R>¡, dpV¡$ 532 > 523. A¡V$g¡ 2, 3, 5 Ap A„L$p¡dp„’u s¥epf ’e¡gu k„¿epAp¡dp„ 532 k„¿ep kp¥’u dp¡V$u.

kgdp : Al] s¥epf ’e¡gu k„¿epAp¡dp„ isL$õ’p“¡ 2 Aph¡ s¡hu k„¿epAp¡ 235 A“¡ 253 dp„ 35 < 53 Ap D‘f’u 235 < 253.

bl¡“ : ipbpi !

“„vy$ : Ap‘¡gp A„L$p¡dp„’u b“su b^u k„¿ep s¥epf L$ep® hNf, A¡L$v$d kp¥’u “p“u A“¡ kp¥’u dp¡V$u k„¿ep s¥epf L$fu iL$pe L¡$ ?

V$p¡“u : lp. kp¥’u dp¡V$u k„¿epdp„“p isL$õ’p““p¡ A„L$ kp¥’u dp¡V$p¡ S> li¡. bpL$u“p b¡ A„L$p¡“u k„¿ep s¥epf L$fsu hMs¡ dp¡V$u k„¿ep dpV¡$ s¡dp„“p¡ dp¡V$p¡ A„L$ v$iL$õ’p“¡ g¡hp¡.

kp¡“y : A¡V$g¡ kp¥’u dp¡V$u k„¿ep s¥epf L$fsu hMs¡ Ap‘¡gp A„L$ Dsfsp ¾$ddp„ gMhp. S>¡d L¡$, D‘f“p Dv$plfZdp„ kp¥’u dp¡V$u k„¿ep 532.

kgdp : Ap‘¡gp ÓZ A„L$p¡dp„’u kp¥’u “p“u k„¿ep L¡$hu fus¡ s¥epf L$fhu s¡ lº„ L$lº„ L¡$ ? isL$õ’p“dp„ kp¥’u “p“p¡ A„L$ gMhp“p¡. A¡L$dõ’p“¡ kp¥’u dp¡V$p¡ A“¡ h^¡gp¡ v$iL$õ’p“¡ gMhp“p¡. V| „$L$dp„, Ap‘¡gp A„L$ QY$sp ¾$ddp„ gMhp’u, ÓZ A„L$u kp¥’u “p“u k„¿ep s¥epf ’i¡. S>¡dL¡$ Al] 235.

kp¡“y : ‘f„sy Ap‘¡gp A„L$p¡dp„ i|Þe lp¡e, sp¡‘Z Apd S> L$fhp“y„ L¡$ ?

bl¡“ : “p. s¡d L$fp¡ sp¡ s¡ k„¿ep ÓZ A„L$u “ ’sp„ b¡ A„L$u ’i¡. Dv$plfZ sfuL¡$ 5,0,2 A„L$ Sy>Ap¡. isL$õ’p“dp„ i|Þe lp¡e sp¡ 025, 052 k„¿ep s¥epf ’pe, ‘Z s¡ 25 A“¡ 52 Ap b¡ A„L$p¡dp„ gMu iL$pe R>¡, dpV¡$ s¡ b¡ A„L$u R>¡. ÓZ A„L$u “’u.

“„vy$ : Ap‘¡gp A„L$p¡dp„ 0 lp¡e sp¡ i|Þe¡sf (i|Þe R>p¡X$u“¡ AÞe) A„L$p¡dp„’u “p“p¡ A„L$ isL$õ’p“¡ d|L$uiy„.

kgdp : i|Þe v$iL$õ’p“¡ gMu h^¡gp¡ A„L$ A¡L$dõ’p“¡ gMhp¡ Å¡CA¡.

bl¡“ : bfpbf. S>¡d L¡$ 5, 0, 2 A„L$p¡dp„’u b“ph¡gu kp¥’u “p“u ÓZ A„L$u k„¿ep 205 R>¡.

F Ap‘¡gp A„L$p¡dp„’u kp¥’u “p“u A“¡ kp¥’u dp¡V$u ÓZ A„L$u k„¿ep gMp¡. D 9, 4, 6 D 7, 0, 4 D 3, 9, 5 D 8, 5, 9

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16

k„¿ep“y„ rhõspqfs ê$‘

bl¡“ : 824 dp„ L¡$V$gp„ isL$, L¡$V$gp v$iL$ A“¡ L¡$V$gp A¡L$d R>¡ ?

824 A¡V$g¡ 8 isL$ 2 v$iL$ A“¡ 4 A¡L$d.

A¡V$g¡ L¡$ 824 = 800 + 20 + 4.

“„vy$ : ‘Z Ap S> ‘Ùrs’u 203 L¡$hu fus¡ gMpe ?

kgdp : 203 = 200 + 3

bl¡“ : s¡ kpQy„ R>¡. ‘Z 203 = 200 + 00 + 3 Ap rhõspqfs ê$‘ h^pf¡ ep¡Áe R>¡. L$pfZ Al]

isL$õ’p““p¡, v$iL$õ’p““p¡ A“¡ A¡L$dõ’p““p¡ A„L$ L$ep¡ R>¡ s¡ sfs kdÅe Åe R>¡. Ap S>

fus¡ 80 “y„ 80 + 0 A¡hy„ rhõspqfs ê$‘ ’i¡.

"9' Ap A¡L$ A„L$u k„¿ep gCA¡, sp¡ s¡“y„ rhõspqfs ê$‘, "9' S> R>¡.

F “uQ¡“u k„¿ep“p rhõspqfs ê$‘ gMp¡.

D 998 D 34 D 287 D 534 D 76 D 301 D 90 D 45 D 13

bl¡“ : rhõspqfs ê$‘ Ap‘¡gy„ lp¡e, sp¡ s¡ ‘f’u k„¿ep gMu iL$pi¡ L¡$ L¡$d ? s¡ Å¡CA¡.

v$p.s. 500 + 30 + 7 Ap rhõspqfs ê$‘ Sy>Ap¡.

kgdp : lº„ âeГ L$fy„ Ry>„.

500 + 30 + 7 = 537

bl¡“ : ipbpi !

F rhõspqfs ê$‘ D‘f’u k„¿ep gMp¡.

D 700 + 0 + 5 D 400 + 60 + 7 D 800 + 0 + 0

D 30 + 9 D 200 + 10 + 1 D 100 + 50 + 0

D 40 + 4 D 300 + 0 + 6

õ’pr“L$ qL„$ds

bl¡“ : 400 + 40 + 7 Ap rhõspqfs ê$‘ L$C k„¿ep“y„ R>¡ ?

“„vy$ : kl¡gy„ R>¡, 447.

kgdp : Ap sp¡ Nçds R>¡. A¡L$ hMs 400 dpV¡$ 4 A„L$ gu^p¡, s¡ ‘R>u 40 dpV¡$ 4 “p¡ A„L$ gu^p¡.

bl¡“ : A„L$p¡“u S>Áep A’hp õ’p“ s¡“u qL„$ds “½$u L$f¡ R>¡, s¡ Ýep“dp„ fpMp¡.

isL$õ’p““p 4 “u qL„$ds 400 R>¡. ‘Z v$iL$õ’p““p 4 “u qL„$ds 40 R>¡.

A¡L$dõ’p““p 7 “u qL„$ds dpÓ 7 S> R>¡. A„L$p¡“u s¡d“p õ’p“ A“ykpf S>¡ qL„$ds lp¡e R>¡ s¡“¡ s¡

A„L$“u õ’pr“L$ qL„$ds L$l¡hpe R>¡.

Page 26: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

17

bl¡“ : 576 k„¿epdp„ 5 “u õ’pr“L$ qL„$ds 500 A“¡ 7 “u õ’pr“L$ qL„$ds 70, sp¡ 6 “u õ’pr“L$ qL„$ds 6 R>¡. A¡ kdÅey„ “¡ ? lh¡ Ap L¡$V$gp„L$ Dv$plfZp¡ Sy>Ap¡.

F

F

F “uQ¡“u k„¿epdp„“p A^p¡f¡rMs A„L$p¡“u õ’pr“L$ qL„$ds gMp¡.

n k„¿ep A“¡ rhõspqfs ê$‘ : âpÐernL$

bl¡“ : ÓZ A„L$u k„¿ep A“¡ s¡“y„ rhõspqfs ê$‘ âpÐernL$ Üpfp bsphu iL$pe R>¡. s¡ dpV¡$ bpSy>dp„ v$ip®ìep âdpZ¡ A¡L$ L$pNm“u ‘Ë$u gC“¡ s¡“p kps kfMp cpN L$fp¡. sdpfp d“’u A¡L$ ÓZ A„L$u k„¿ep ^pfu

gp¡. ^pfp¡ L¡$ 435. Ap k„¿ep“y„ rhõspqfs ê$‘ s¡ L$pNm“u ‘Ë$u D‘f v$ip®ìep âdpZ¡ gMp¡.

‘R>u ‘Ë$u“u OpV$u v$ip®h¡gu guV$u D‘f rQÓdp„ v$ip®ìep âdpZ¡ A¡hu fus¡ NX$u hpmp¡ L¡$ OpV$u guV$u s|V$L$ guV$u kp’¡ b„^b¡ksu Aph¡ (rQÓ Sy>Ap¡).

NX$u hpmsu, hMs¡ "00 +' A“¡ "0 +' Y„$L$pC S>i¡ A“¡ 435 “u k„¿ep v$¡Mpi¡.

Ap âdpZ¡ NX$u hpm¡gu ‘Ë$u D‘f k„¿ep A“¡ NX$u Mp¡gu “p„Mu ku^u L$f¡gu ‘Ë$u D‘f s¡“y„ rhõspqfs

ê$‘ v$¡Mpe R>¡.

9 3 4

õ’pr“L$ qL„$ds 900 30 4

- rinL$ dpV¡$ : Ap âdpZ¡ NX$uhpmu ‘Ë$uAp¡ s¥epf L$fu“¡ rhrh^ ÓZ A„L$u k„¿ep“y„ rhõspqfs ê$‘ A“¡ A„L$p¡“u õ’pr“L$ qL„$dskdÆ iL$hp“u sL$ Ap‘hu.

i v$ A¡ i v$ A¡

4 4 4 6 3 9

4 600

40 õ’pr“L$ qL„$ds 30

400 9

07 5

õ’pr“L$ qL„$ds 700 0 5

919 , 135 , 20 , 305 19 419 , 32

Page 27: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

18

1000 (A¡L$ lÅf)“u Ap¡mM :

Ap‘Z¡ hØuhpmp kfhpmp L$fu“¡ 99 + 1 = kp¡ (100) ’pe R>¡. s¡ Å¡ey„ R>¡. lh¡ 999 + 1 “p¡ kfhpmp¡ Ecu dp„X$Zudp„ L$fuA¡. 9 A¡L$d$ + 1 A¡L$d A¡V$g¡ 10 A¡L$d ’pe R>¡. s¡“p¡ A¡L$ v$iL$ (hØu“p¡) ’pe R>¡. 9 v$iL$ + 1 v$iL$ dmu“¡ 10 v$iL$ ’pe R>¡. s¡“p¡ A¡L$ isL$ (hØu“p¡) ’pe R>¡. 9 v$iL$ + 1 isL$ dmu“¡ 10 isL$ ’pe R>¡. s¡dp„’u afu A¡L$ hØu“p¡ Aph¡ R>¡. s¡“¡ dpV¡$ “hy„ õ’p“ s¥epf L$fuA¡. s¡“¡ lÅf“y„ õ’p“ L$l¡hpe R>¡. 1000 Ap k„¿epdp„ lÅf õ’p“¡ 1 A“¡ AÞe v$f¡L$ õ’p“dp„ 0 R>¡. dpV¡$ Ap k„¿ep“y„ hp„Q“ "A¡L$ lÅf' A¡d L$fpe R>¡.

F A¡L$ dpmpdp„ 10 dp¡su. Aphu 100 dpmpdp„ Ly$g 1000 dp¡su R>¡.

dpV¡$ 100 v$iL$ A¡V$g¡ ‘Z 1000.

F 10 isL$ A¡V$g¡ ‘Z 1000.

i i i

i i i

i i i

e

v$ v$ v$

v$ v$ v$

v$ v$ v$

v$

ll i v$ A¡

1 1 1

9 9 9

+ 1

10 10 10

1 0 0 0

Page 28: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

19

kfhpmp : hØu hNf“p

V$p¡“u ‘pk¡ 100 dp¡suhpmp 3 bV$hp R>¡.

kp¡“y ‘pk¡ s¡hp S> 5 bV$hp R>¡. Ly$g bV$hp L¡$V$gp„ ? bV$hp.

b„“¡ ‘pk¡“p bV$hpdp„“p Ly$g dp¡su L¡$V$gp„? dp¡su.

F fp¡l“ ‘pk¡ 100 ê$r‘ep“u 2 “p¡V$p¡, 10 ê$r‘ep“u A¡L$ “p¡V$ R>¡ A“¡ 2 ê$r‘ep“p 5 rk½$p R>¡. kp¡“g ‘pk¡ 100 ê$r‘ep“u A¡L$ “p¡V$, 10 ê$r‘ep“u 3 “p¡V$p¡ A“¡ 1 ê$r‘ep“p 2 rk½$p R>¡, sp¡ b„“¡“u ‘pk¡“p dmu“¡ 100 ê$r‘ep“u Ly$g “p¡V$p¡ L¡$V$gu ? 10 ê$r‘ep“u Ly$g “p¡V$p¡ L¡$V$gu ? A¡L$ ê$r‘ep“p Ly$g rk½$p L¡$V$gp„ ?

F rQÓp¡ D‘f’u s¥epf L$f¡gp Dv$plfZp¡“y„ r“funZ L$fp¡. Dv$plfZ ‘|Z® L$fp¡. s¡ dpV¡$ A¡L$ddp„ A¡L$d, v$iL$dp„ v$iL$ A“¡ isL$dp„ isL$ Dd¡fp¡.

i v$ A¡

1 i 2 v$ 1 A¡ 1 2 1

+

2 i 1 v$ 3 A¡ +

2 1 3

F rQÓ Å¡C“¡ k„¿ep gMp¡ A“¡ kfhpmp¡ L$fp¡. i v$ A¡

i v$ A¡ +

+

i v$ A¡

i v$ A¡

i i i

i i

i i

i

i

i i

i i i

i

i i

8

800

Page 29: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

20

F “uQ¡“p kfhpmp L$fp¡ A“¡ r“funZ L$fp¡.

54 20 70 8 75 13+ 20

+ 54

+8

+ 70

+13

+75

k„¿ep“p¡ ¾$d bv$ghp R>sp„ kfhpmp¡ s¡ S> Aph¡ R> ¡

F “uQ¡“p Dv$plfZp¡ DL¡$gp¡

D 376 + 2 D 403 + 64 D 125 + 144 D 513 + 365

i v$ A¡

3 7 6

+ 2

3 7 8

D 142 + 6 D 205 + 4 D 540 + 35 D 20 + 436

F Ecu dp„X$Zu L$fu“¡ kfhpmp¡ L$fp¡.

D 664 + 220 D 421 + 351 D 713 + 205 D 122 + 324 D 207 + 102

D 270 + 312 D 450 + 230 D 541 + 320 D 400 + 300 D 22 + 342

F ApX$u dp„X$Zu’u L$f¡gp “uQ¡“p kfhpmp“p¡ Aæepk L$fp¡.

F ApX$u dp„X$Zu’u kfhpmp L$fp¡. D 527 + 261 D 623 + 215 D 203 + 302

74 74

i v$ A¡ i v$ A¡ i v$ A¡

4 2 1 + 3 5 1 = 7 7 2

Page 30: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

21

C M Y K21

v$ A¡

2 1+

1 4

+ 0 3

3 8

v$ A¡

2 1+

1 4

+ 0 3

3 8

F L$bpV$dp„ Nusp¡“p 3 ‘yõsL$p¡ A“¡ hpsp®“p 21 ‘yõsL$p¡, rQÓp¡“p 14 ‘yõsL$p¡ R>¡. sp¡ L$bpV$dp„ Ly$g L¡$V$gp„ ‘yõsL$p¡ R>¡ ?

21 + 14 + 3 = 38

L$bpV$dp„ Ly$g 38 ‘yõsL$p¡ R>¡. $

dpepA¡ vy$L$p“dp„’u 2 ê$r‘ep“p R>¡L$fbf, 3 ê$r‘ep“u ‘¡[Þkg A“¡ 4 ê$r‘ep“p f„Nu“ Qp¡L$ gu^p, sp¡ s¡Z¡ vy$L$p“v$pf“¡ L¡$V$gp„ ê$r‘ep Ap‘hp Å¡CA¡? 2 + 3 = 5 5 + 4 = 9 R>¡L$fbf“p 2 A“¡ ‘¡[Þkg“p 3 ê$r‘ep dmu“¡ 5 ê$ ê$r‘ep

’ep. Ap 5 ê$r‘epdp„ Qp¡L$“p 4 ê$r‘ep Dd¡fhp’u 9 ê$r‘ep ’i¡.

A¡V$g¡ S> 2 + 3 + 4 = 9 dpV¡$ dpepA¡ vy$L$p“v$pf“¡ 9 ê$r‘ep Ap‘hp Å¡CA¡.

2+

3+

4

2 dp„ 3 Dd¡ep®, 5 ’ep„.

9

5 dp„ 4 Dd¡ep®, 9 ’ep„.

ÓZ k„¿ep“p kfhpmp

F kfhpmp L$fp¡.

F “uQ¡“p Dv$plfZp¡ DL¡$gp¡.

D v$ A¡ D v$ A¡ D v$ A¡ D v$ A¡

2 5 2 1 5 0 2 5

+ 3 0

+ 1 5

+ 0 2

+ 1 2

+ 3 2

+ 1 2 +

0 3 +

0 1

D 453 + 104 + 112 D 105 + 3 + 20 D 202 + 34 + 11

i v$ A ¡

4 5 3

+

1 0 4

+ 1 1 2

D 200 + 10 + 1 D 143 + 2 + 2 D 3 + 42 + 233

D 352 + 313 + 21 D 451 + 224 + 112 D 104 + 2 + 3

D 303 + 444 + 122 D 5 + 12 + 372 D 400 + 40 + 4

Page 31: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

22

bpv$bpL$u : hØu hNf“u

F rQÓ Sy>Ap¡. Dv$plfZ“p¡ Aæepk L$fp¡. F rQÓ D‘f’u Dv$plfZ“u dp„X$Zu L$fp¡ A“¡ DL¡$gp¡.v$ A¡ v$ A¡2 3-1 2

1 1

i v$ A¡ 2 1 3 â’d A¡L$ddp„’u A¡L$d bpv$ L$fuA¡.

-1 1 1 ‘R>u v$iL$dp„’u v$iL$ bpv$ L$fuA¡.

1 0 2 ‘R>u isL$dp„’u isL$ bpv$ L$fuA¡.

F AÆs ‘pk¡ 257 ê$r‘ep R>¡. s¡Z¡ d“p¡S>“¡ 150 ê$r‘ep Apàep, sp¡ AÆs ‘pk¡ L¡$V$gp ê$r‘ep hÝep, s¡ “uQ¡“p rQÓ D‘f’u “½$u L$fp¡.

F A¡L$ q¾$L¡$V$ dµQdp„ cpfs¡ 245 f“ L$ep¯. IÁgƒX¡$ 123 f“ L$ep¯, sp¡ cpfs“u bfpbfu L$fhp dpV¡$ IÁgƒX“¡ lÆ L¡$V$gp f“ L$fhp ‘X$i¡ ?

cpfs kp’¡ bfpbfu L$fhp IÁgƒX$“p 245 f“ ’hp Å¡CA¡ ; A¡V$g¡ 123 “u ApNm L¡$V$gp f“ L$f¡, sp¡ 245 f“ ’i¡, s¡ ip¡^hy„ ‘X$i¡.

A¡V$g¡ 123 + = 245. Ap Qp¡L$V$dp„“u k„¿ep ip¡^hu ‘X$i¡. Ap k„¿ep 245 dp„’u 123 bpv$ L$fhp’u dmi¡.

i v$ A¡

2 4 5-

1 2 3

1 2 2

v$ A¡ A¡ A¡i

F

i

Page 32: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

23

F bpv$bpL$u L$fp¡.

D D D

D D D

D D D

F Ecu dp„X$Zu L$fu“¡ bpv$bpL$u L$fp¡. D 654 - 200 D 674 - 242 D 772 - 341

F dp¡V$u k„¿epdp„’u “p“u k„¿ep bpv$ L$fp¡.D 315, 517 D 470, 340 D 300, 700

ApX$u dp„X$Zu’u bpv$bpL$ui v$ A¡ i v$ A¡ 3 4 5 - 2 4 3 = 102 bpv$bpL$u L$fsu hMs¡ A¡L$ddp„’u A¡L$d, v$iL$dp„’u v$iL$

isL$dp„’u isL$ bpv$ L$fhp.$

F ApX$u dp„X$Zu’u bpv$bpL$u L$fp¡. 417 - 305, 504 - 201, 779 - 250, 420 - 220

i v$ A¡

6 5 4- 2 0 0

i v$ A¡

2 3 7-

1 1 4

i v$ A¡

3 6 6-

3

i v$ A¡

4 5 5-3 5

i v$ A¡

4 5 8-

4 4

i v$ A¡

8 9 9-

5 2 3

i v$ A¡

9 5 5-

4 1 5

i v$ A¡

5 4 5-

2

5 4 3

i v$ A¡

7 4 9-

4 3 8

i v$ A¡

8 5 3-

2 0 2

Page 33: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

24

NyZpL$pf

rinL$qv$““p qv$hk¡ bl¡““¡ Ap‘hp dpV¡$ aŸgp¡“p¡ NyÃR>p¡ s¥epf L$ep¤. s¡ dpV¡$ V$p¡“u, kp¡“y, kgdp, ŵ“ A“¡ “„vy$ v$f¡L$ S>Z 2 aŸgp¡ gpìep. s¡ aŸgp¡“p¡ A¡L$ ky„v$f NyÃR>p¡ kp¡“yA¡ s¥epf L$ep¤.

bl¡“ : kfk ! L¡$V$gp¡ ky„v$f A“¡ dp¡V$p¡ NyÃR>p¡ ’ep¡ R>¡. Ly$g L¡$V$gp aŸgp¡“p¡ Ap NyÃR>p¡ R>¡ ?

V$p¡“u : v$f¡L¡$ gph¡gp b¡ âdpZ¡ ‘p„Q S>ZpA¡ dmu“¡ v$k aŸg ’ep.

ŵ“ : v$f¡L$“p 2 aŸg âdpZ¡ Ly$g ‘p„Q S>Zp“p aŸg A¡V$g¡ 5 hMs 2 gC“¡ L$f¡gp¡ kfhpmp¡ 2 + 2 + 2 + 2 + 2 = 10.

bl¡“ : 2 + 2 + 2 + 2 + 2 A“¡ 2 # 5 A¡d gMpe R>¡.

10 A¡ 2 A“¡ 5 “p¡ NyZpL$pf R>¡.

lh¡ Al] rQÓp¡ R>¡. s¡dp„ L¡$V$gp amp¡ R>¡ s¡ NZuA¡.

V$p¡“u : A¡L$ gpC“dp„ 4 L$pL$X$u. A¡hu Qpf gpC“ 4 “p 4 NZp„ A¡V$g¡16 L$pL$X$u

ŵ“ : A¡L$ gpC“dp„ Qpf L¡$fu âdpZ¡ 10 gpC“.4 “p v$kNZp A¡V$g¡ 40 L¡$fu.

kgdp : A¡L$ gpC“dp„ Qpf ‘¡fy âdpZ¡ ÓZ gpC“A¡V$g¡ 4 “p ÓZNZp 12.

kp¡“y„ : A¡L$ gpC“dp„ 4 g]by âdpZ¡ b¡ gpC“.4 “p bdZp A¡V$g¡ 8 g]by.4 “u k„¿ep b¡ hMs gC“¡ L$f¡gp¡ kfhpmp¡ A¡V$g¡ 4 “p bdZp.

Page 34: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

25

NyZpL$pf

D

V$p¡“u kp¡“y “„vy$ kgdp

v$f¡L$ ‘pk¡ 3 v$X$p A¡V$g¡ Ly$g v$X$p L¡$V$gp ?3 + 3 + 3 + 3 = 12Qpf hMs 3 gC“¡ L$f¡gp¡ kfhpmp¡, A¡V$g¡ 3 “p Qpf NZp A¡V$g¡

3 # 4 = 12 (3 Qp¡L$$ 12).

D Ap âdpZ¡ “uQ¡“p Dv$plfZdp„“p Qp¡L$V$ ‘|Z® L$fp¡.

v$f¡L$ V$p¡‘gudp„ R> L¡$fu, sp¡ ÓZ V$p¡‘guAp¡dp„“u L¡$fu L¡$V$gu ?6 + 6 + 6 = R> “p NZp A¡V$g¡ S> 6 # = (6 s¡fu$ )

D 3 bpmL$p¡“p A¡L$ S|>’ âdpZ¡ 7 S|>’ L$fu“¡ bpmL$p¡ Ecp lsp„, sp¡ Ly$g bpmL$p¡ L¡$V$gp„ ?

3 “p NZp, ÓZ ksp , 3 # =

F rQÓ Sy>Ap¡ A“¡ D‘f âdpZ¡ Dv$plfZ s¥epf L$fu DL¡$gp¡.

D A¡L$ “p¡V$byL$“u qL„$ds 5 ê$r‘ep âdpZ¡ 9 “p¡V$byL$“u qL„$ds L¡$V$gu ?5 “u k„¿ep 9 hMs gC“¡ L$f¡gp¡ kfhpmp¡ A¡V$g¡ 5 # 9.

5 # 9 = 45.dpV¡$ 9 “p¡V$byL$“u qL„$ds 45 ê$r‘ep.

bl¡“ : OqX$ep A¡V$g¡ ¾$rdL$ fus¡ L$f¡gp NyZpL$pf S> R>¡. s¡“p¡ D‘ep¡N L$fu“¡ Ap‘Z¡ ApNm S>sp dp¡V$u k„¿ep“p NyZpL$pf L$fhp“p R>uA¡.

Ap‘Z¡ 2, 3, 4, 5 A“¡ 10 “p OqX$ep bp¡guA¡.

Page 35: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

26

C M Y K26

NyZpL$pf

hõsy“p ê$‘dp„ kfhpmp“p ê$‘dp„L¡$V$gu hMs

L¡$V$gp NZp

NyZpL$pf ê$‘

Ly$g hõsy

2 + 2 + 2 + 2 + 2 b¡, ‘p„Q

hMs

2 “p ‘p„Q NZp

2 # 5 10

5 + 5 ... ,

b¡ hMs

5 “p ... NZp ... # ...

... + ... + ... + ... + ...

...,‘p„Q hMs

... “p

... NZp>

... # ...

....................v$k, ÓZ

hMs10 “p

... NZp... # ... .......

....................Qpf, R> hMs

....... ... # ... .......

.................... ....... ....... ... # ... .......

Page 36: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

27

6 “p¡ OqX$ep¡

6, A¡L$ hMs6 # 1 = 6 R> A¡L$p R>

6, b¡ hMs6 # 2 = 12

R> vy$ bpf

6, ÓZ hMs6 # 3 = 18 R> s¡fu AY$pf

6, Qpf hMs6 # 4 = 24 R> Qp¡L$ Qp¡huk

6, ‘p„Q hMs6 # 5 = 30 R> ‘„Qp Óuk

6, R> hMs6 # 6 = 36 R> R>„N R>Óuk

(R>pe¡ R>pe¡ R>Óuk)

6 # 7 = 42 R> ksp b¡spguk

6, ApW$ hMs6 # 8 = 48

R> AÌ$p AX$spguk

6, “h hMs6 # 9 = 54 R> “hp Qp¡‘“

6, v$k hMs6 # 10 = 60 R> v$pZ kpluW$>

6, kps$ hMs

Page 37: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

28

7, 8 A“¡ 9 “p OqX$ep

6 “p OqX$ep âdpZ¡ 7, 8, 9 “p OqX$ep s¥epf L$fuA¡.

7 # 1 = 7

7 # 2 = 14

7 # 3 = 21

7 # 4 = 28

7 # 5 = 35

7 # 6 = 42

7 # 7 = 49

7 # 8 = 56

7 # 9 = 63

7 # 10 = 70

kfhpmp“u dv$v$’u OqX$ep

8 # 1 = 8

8 # 2 = 16

8 # 3 = 24

8 # 4 = 32

8 # 5 = 40

8 # 6 = 48

8 # 7 = 56

8 # 8 = 64

8 # 9 = 72

8 # 10 = 80

9 # 1 = 9

9 # 2 = 18

9 # 3 = 27

9 # 4 = 36

9 # 5 = 45

9 # 6 = 54

9 # 7 = 63

9 # 8 = 72

9 # 9 = 81

9 # 10 = 90

- rinL$ dpV¡$ : 8 A“¡ 9 “p OqX$ep b¡ OqX$ep“p kfhpmp“u dv$v$’u s¥epf L$fphhp. b¡ OqX$ep“u bpv$bpL$u“u dv$v$’u ‘Z OqX$ep s¥epf L$fu iL$pe R>¡, s¡ Ýep“dp„ gphhy„.

4 “p¡ OqX$ep¡

2 “p¡ OqX$ep¡

kfhpmp¡ 6 “p¡ OqX$ep¡

4 2 4 + 2 = 6 6 # 1 = 6

8 4 8 + 4 = 12 6 # 2 = 12

12 6 12 + 6 = 18 6 # 3 = 18

16 8 16 + 8 = 24 6 # 4 = 24

20 10 20 + 10 = 30 6 # 5 = 30

24 12 24 + 12 = 36 6 # 6 = 36

28 14 28 + 14 = 42 6 # 7 = 42

32 16 32 + 16 = 48 6 # 8 = 48

36 18 36 + 18 = 54 6 # 9 = 54

40 20 40 + 20 = 60 6 # 10 = 60

bl¡“ : 6 “p¡ OqX$ep¡ s¥epf L$fsu hMs¡ 6 “p b¡ cpN L$fuA¡. S>¡d L¡$, 6 = 4 + 2. lh¡ 4 A“¡ 2 “p¡ OqX$ep¡ gC“¡ s¡“p¡ kfhpmp¡ L$fu“¡ 6 “p¡ OqX$ep¡ s¥epf L$fuA¡.

V$p¡“u : 6 “p¡ OqX$ep¡ 4 A“¡ 2 “p OqX$ep’u s¥epf L$fu iL$pe R>¡. s¡d s¡ 5 A“¡ 1 “p OqX$ep“u dv$v$’u ‘Z s¥epf L$fu iL$pi¡ “¡ ?

bl¡“ : bfpbf. ÅZsp lp¡CA¡ s¡hp b¡ OqX$ep“u dv$v$’u kfhpmp Üpfp “hp OqX$ep s¥epf L$fu iL$pe R>¡.

V$p¡“u : sp¡ ‘R>u 7 “p¡ OqX$ep¡ 4 A“¡ 3 “p OqX$ep“u dv$v$’u s¥epf L$fu iL$pi¡.

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29

9 “p OqX$ep“u Nçds

bl¡“ : lº„ sd“¡ 9 “p OqX$ep“u A¡L$ Nçds L$lº„ Ry>„.

9, 8, 7, ..... Ap âdpZ¡ 0 ky^u k„¿ep K^p ¾$d’u A¡L$dõ’p“¡ gMp¡. s¡“u ApNm v$iL$õ’p“¡ 0, 1, 2, ...... 9 Ap k„¿ep ¾$rdL$ fus¡ gMp¡. ’C Nep¡ s¥epf 9 “p¡ OqX$ep¡ ! L¡$hu gpNu Nçds !

kp¡“y : Af¡ hpl ! lÆ ‘Z A¡L$ Nçds dpfp Ýep“dp„ Aphu R>¡. OqX$epdp„ Aphsu âÐe¡L$ k„¿epdp„“p v$iL$ A“¡ A¡L$dõ’p““p A„L$p¡“p¡ kfhpmp¡ “h S> R>¡.

F “uQ¡“p s¼spdp„ 5 # 3 = 15 v$ip®ìep R>¡. Mpgu Mp“pdp„ ep¡Áe k„¿ep cfp¡.

� 1 2 4 5 6 7 8 9 10

1 1 2 3 4 5 6 7 8 9 10

2 2 4 6 8 10

3 3 6 9

4 4 8 16

5 5 10 15 20 25

6 36

7 49

8 64

9 81

10 10 100

09

18

27

36

45

54

63

72

81

90

- rinL$ dpV¡$ : âÐe¡L$ rhÛp’}“¡ 1 ’u 100 “p¡ s¼sp¡ s¥epf L$fhp L$l¡hy„. s¡ s¼spdp„ âÐe¡L$ rhÛp’}“¡ A¡L$ OqX$ep¡ Ap‘u“¡ s¡dp„ Aphsu k„¿ep f„Nhp dpV¡$ L$l¡hy„. s¥epf ’“pf ApL©$rsb„^“y„ r“funZ L$fhp L$l¡hy„.

3

5

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30

F “uQ¡“p NyZpL$pf L$fp¡. 3 5 7 8 6 7

# 6 # 3 # 5 # 3 # 4 # 8

F “uQ¡“p rQÓ D‘f’u NyZpL$pf“p Dv$plfZp¡ s¥epf L$fp¡ A“¡ DL¡$gp¡.

D “uQ¡“p rQÓ D‘f’u s¥epf L$f¡gy„ Dv$plfZ

A¡L$ gpC“dp„ 6 aŸgp¡, sp¡ s¡hu 4 gpC“dp„“p aŸgp¡ L¡$V$gp„ ?

A¡L$ gpC““p aŸgp¡# gpC“

Ly$g aŸgp¡

D

A¡L$ bp¡¼kdp„ v$X$p, sp¡ bp¡¼kdp„“p Ly$g v$X$p L¡$V$gp„ ?

D

D

- rinL$ dpV¡$ : A¡L$ A„L$u b¡ k„¿ep“p¡ D‘ep¡N L$fu“¡ NyZpL$pf“p Dv$plfZp¡ s¥epf L$fu DL¡$gphhp.

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31

NyZpL$pf dpV¡$ OqX$ep“p¡ D‘ep¡N

D tQVy$A¡ S>Þdqv$hk dpV¡$ 5 ê$r‘ep“u A¡L$ âdpZ¡ 6 ‘¡“ gu^u, sp¡ s¡Z¡ vy$L$p“v$pf“¡ Ly$g L¡$V$gp ê$r‘ep Ap‘hp ‘X$i¡ ?Õ Ly$g qL„$ds ip¡^hp dpV¡$ 5 “p¡ OqX$ep¡, ‘p„Q R>„N ky^u bp¡ghp¡ ‘X$i¡. ‘p„Q R>„N Óuk A¡V$g¡ 5 # 6 = 30

Ly$g 30 ê$r‘ep Ap‘hp ‘X$i¡.

D A¡L$ gpC“dp„ 8 TpX$, A¡hu 5 gpC“dp„ L¡$V$gp„ TpX$ ?

Õ gpC“ 5, âÐe¡L$ gpC“dp„ 8 TpX$.

L$fhp“u q¾$ep : NyZpL$pf, 8 “p¡ OqX$ep¡ bp¡guA¡. 5 gpC“

ApW$ ‘„Qp Qpguk # 8 v$f¡L$ gpC““p TpX$ Ly$g TpX$ = 40 40 Ly$g TpX$

D A¡L$ X$åbpdp„ 9 gpX$hp. A¡hp 7 X$åbpdp„ L¡$V$gp„ gpX$hp kdpC iL$i¡ ?L$fhp“u q¾$ep : NyZpL$pf 7 X$åbp 9 “p¡ OqX$ep¡ bp¡guA¡. # 9 A¡L$ X$åbp“p gpX$hp >“h kÑp Ly$g gpX$hp

D A¡L$ AW$hpqX$ep“p 7 qv$hk, sp¡ 4 AW$hpqX$ep“p L¡$V$gp„ qv$hk ? Õ 7 “p¡ OqX$ep¡ bp¡guA¡. 4 AW$hpqX$epkps Qp¡L$

#7 A¡L$ AW$hpqX$ep“p„ qv$hk

D A¡L$ gpC“dp„ 8 gpv$u, sp¡ 3 gpC“dp„ L¡$V$gu gpv$u ? 8 A¡L$ gpC““u gpv$u 3 gpC“

# 3 gpC“ # 8 A¡L$ gpC““u gpv$u

Ly$g gpv$u Ly$g gpv$u

D A¡L$ ‘¡fy“u qL„$ds 6 ê$r‘ep R>¡. V$p¡“u, kp¡“u, “„vy$ A“¡ kgdp Qpf¡e“¡ A¡L$-A¡L$ ‘¡fy /Ådam Ap‘hp dpV¡$ L¡$V$gp ê$r‘ep Å¡CA¡ ? 6 A¡L$ ‘¡fy“u qL„$ds

# 4 bpmL$p¡Ly$g ê$r‘ep

6 ‘¡“# 5 A¡L$ ‘¡““u qL„$ds

30 Ly$g ê$r‘ep

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32

3 5 #

5#

3

NyZpL$pf“p NyZ^d®

3 # 5 = 5 # 3

F “uQ¡“p NyZpL$pf L$fp¡ A“¡ r“funZ L$fp¡.

6 # 5 = 8 # 3 = 7 # 6 = 9 # 2 =

5 # 6 = 3 # 8 = 6 # 7 = 2 # 9 =

k„¿ep“p¡ ¾$d bv$ghp R>sp„ NyZpL$pf kfMp¡ S> Aph¡ R>¡.

S>¡d L¡$ : 6 # 5 = 5 # 6 ; 8 # 3 = 3 # 8 ; 7 # 6 = 6 # 7 ; 9 # 2 = 2 # 9

F i|Þe“p¡ NyZpL$pf NyZ^d®

2 + 2 + 2 + 2 A¡V$g¡ S> 2 # 4 = 8

1 + 1 + 1 + 1 A¡V$g¡ S> 1 # 4 = 4

0 + 0 + 0 + 0 A¡V$g¡ S> 0 # 4 = 0

L$p¡C‘Z k„¿ep“¡ "i|Þe' hX¡$ NyZuA¡ A’hp "i|Þe'“¡ L$p¡C‘Z k„¿ep hX¡$ NyZuA¡,

sp¡ NyZpL$pf "i|Þe' Aph¡ R>¡. 0 # 4 = 4 # 0 = 0

F “uQ¡“p NyZpL$pf L$fp¡.

2 # 4= = 4 # 2 7 # 0 = = 0 # 7 9 # 8 = = 8 # 9

7 # 3 = = 3 # 7 8 # 0 = = 0 # 8 6 # 3 = = 3 # 6

n NyÎe, NyZL$, NyZpL$pf

6 NyÎe 5 NyÎe bl¡“ : 6 # 5 Ap NyZpL$pfdp„ 6 A¡ ‘l¡gu k„¿ep“¡ # 5 NyZL$ # 6 NyZL$ Ap‘Z¡ NyZuA¡ R>uA¡, s¡ NyÎe A“¡ 5 buÆ k„¿ep

30 NyZpL$pf 30 NyZpL$pf hX¡$ NyZuA¡ R>uA¡, s¡ NyZL$. A“¡ Aph¡gp¡ S>hpb 30 A¡V$g¡ NyZpL$pf. s¡hu S> fus¡ 5 # 6 Ap NyZpL$pfdp„ 5 A¡ NyÎe, 6 A¡ NyZL$ A“¡ 30 A¡NyZpL$pf R>¡.

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C M Y K33

rk½$p A“¡ “p¡V$p¡

F “uQ¡“u “p¡V$p¡“p rQÓ Sy>Ap¡. s¡“u qL„$ds Mp“pdp„ gMp¡.

Ap “p¡V$“u qL„$ds ê$r‘ep R>¡. Ap “p¡V$“u qL„$ds ê$r‘ep R>¡.

Ap rk½$p“u qL„$ds ê$r‘ep R>¡. Ap rk½$p“u qL„$ds ê$r‘ep R>¡.

F Mpgu Mp“pdp„ Ly$g fL$d (qL„$ds) gMp¡.D

ê$r‘ep

D

ê$r‘ep

D

ê$r‘ep

650

Page 43: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

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C M Y K34

` 100 ` 50 ` 10 ` 10

- rinL$ dpV¡$ : rhÛp’}Ap¡“¡ L$pX®$ D‘f k„¿ep gMu“¡ “p¡V$p¡ s¥epf L$fhp L$l¡hy„ A“¡ s¡“p Ap^pf¡ fds fdpX$hu.

V$p¡“u : dpfu ‘pk¡ 3 “p¡V$p¡ R>¡, s¡“u Ly$g qL$ds 75 ê$r‘ep R>¡.kgdp : dpfu ‘pk¡ ‘Z 75 ê$r‘ep R>¡ ‘Z dpfu ‘pk¡ 5 “p¡V$p¡ R>¡.V$p¡“u : Aphy„ L¡$hu fus¡ b“¡ ?

V$p¡“u ‘pk¡“u “p¡V$p¡ Ap âdpZ¡ R>¡. Ly$g

ê$r‘ep

A“¡ kgdp ‘pk¡“u “p¡V$p¡ Ap âdpZ¡ R>¡.

Ly$g

ê$r‘ep

A¡V$g¡ b„“¡“y„ L$l¡hy„ bfpbf R>¡.k„Sy> : dpfu ‘pk¡ 100 ê$r‘ep“u 1 “p¡V$, 20 ê$r‘ep“u 4 “p¡V$p¡ A“¡ 1 ê$r‘ep“p 6 rk½$p R>¡. sp¡

dpfu ‘pk¡ Ly$g L¡$V$gp ê$r‘ep R>¡ ?

fpSy> : A¡V$g¡ Ly$g 186 ê$r‘ep R>¡.

Ar“sp : dpfu ‘pk¡ 4 “p¡V$p¡ R>¡. s¡“u Ly$g qL„$ds 170 ê$r‘ep R>¡, sp¡ s¡ “p¡V$p¡ L$C ?

F 170 ê$r‘ep lÆ Sy>v$p âL$pf¡ 4 “p¡V$p¡“u dv$v$’u Ap‘u iL$pi¡ L¡$ ?

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35

dp‘“

g„bpC

bl¡“¡ “„vy$ A“¡ kp¡“y“¡ V¡$bg“u g„bpC dp‘hp L$üy„.

“„vy$ : Ap V¡$bg“u g„bpC 11 h¢s S>¡V$gu R>¡.kp¡“y : V¡$bg“u g„bpC dpfu 12 h¢s S>¡V$gu R>¡.kgdp : sd¡ b„“¡A¡ h¢s’u S> dp‘u, sp¡ b„“¡“p dp‘hpdp„ saphs L¡$d Apìep¡ ?V$p¡“u : b„“¡“u h¢s kfMu R>¡ L¡$ ?“„vy$ : dpfu h¢s kp¡“y“u h¢s L$fsp dp¡V$u R>¡, dpV¡$ Aphy„ ’ey„.bl¡“ : lº„ A¡L$ S> g„bpChpmu b¡ L$pNm“u ‘Ë$uAp¡ b„“¡“¡ Ap‘¡y R>¡. s¡“p’u Ap g„bpC dp‘p¡ sp¡ !

“„vy$ : V¡$bg“u g„bpC Ap 9 ‘Ë$uAp¡ S>¡V$gu R>¡.

kp¡“y : d¢ dp‘u sp¡ ‘Z 9 ‘Ë$uAp¡ S> ’C.

“„vy$ : Ad“¡ Ap‘¡gu ‘Ë$uAp¡ kfMu g„bpC“u S> lsu dpV¡$ V¡$bg“u g„bpC kfMu Aphu.

kgdp : A¡V$g¡ A¡L$ S> hõsy“u g„bpC kdp“ kp^“’u dp‘uA¡ sp¡ s¡ kfMu S> Aph¡ R>¡.

kp¡“y : dpf¡ Qp¡L$“u g„bpC dp‘hu lp¡e, sp¡ Ap ‘Ë$u D‘ep¡Nu ’i¡ L¡$ ? Ap ‘Ë$u sp¡ Qp¡L$ L$fsp h^pf¡ gp„bu R>¡.

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36

C M Y K36

bl¡“ : Ap‘Z¡ Ap L$pNm“u ‘Ë$u“u NX$u hpmuA¡ A“¡ s¡“p kfMp cpN L$fuA¡. s¡“p ’e¡gp “p“p cpN“p¡ D‘ep¡N Ap‘Z“¡ Qp¡L$“u g„bpC dp‘hp dpV¡$ ’i¡. V$p¡“u : Ap ‘Ë$u“u ÓZ hMs NX$u hpmu“¡ 8 kfMp cpN L$fuA¡.

kgdp : Ap ‘Ë$u ‘pk¡ lº„ Qp¡L$ d|Ly „$ Ry>„. Ap Qp¡L$“u g„bpC ‘p„Q “p“p cpN S>¡V$gu R>¡.

“„vy$ : Ap ‘Ë$u“p¡ D‘ep¡N L$fu“¡ âh¡iÜpf“p b¡ õs„c hÃQ¡“y„ A„sf dp‘uA¡ L¡$ ?

kgdp : “p. Ap L$pNm“u ‘Ë$u M|b Ap¡R>u g„bpC“u R>¡.

bl¡“ : dpfu ‘pk¡ A¡L$ gp„bu v$p¡fu R>¡. s¡“p¡ A„sf dp‘hp dpV¡$ D‘ep¡N L$fuA¡.

“„vy$ : Ap‘Z¡ Ap v$p¡fu“u dv$v$’u Ap âh¡iÜpf“p b¡ õs„c hÃQ¡“y„ A„sf dp‘uA¡.

V$p¡“u : âh¡iÜpf“p b¡ õs„c hÃQ¡“y„ A„sf 3 v$p¡fuAp¡ S>¡V$gy„ R>¡.

bl¡“ : h^pf¡ g„bpC dp‘hp dpV¡$ h^pf¡ gp„bu ‘Ë$u g¡hu S>ê$fu R>¡. Ap¡R>u g„bpC dp‘hp dpV¡$ Ap¡R>u g„bpC“u ‘Ë$u g¡hu Å¡CA¡ R>¡. s¡ lh¡ kdÅey„ “¡ ?

1 2 3 4 5

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37

C M Y K37

bl¡“ : L$p¡C‘Z dpZk L$p‘X$ dp‘¡ sp¡ ‘Z s¡“u g„bpC kfMu S> lp¡hu Å¡CA¡, dpV¡$ L$p‘X$“u vy$L$p“dp„

b^p$ vy$L$p“v$pf L$p‘X$ dp‘hp dpV¡$ A¡L$ dp¡V$u ‘Ë$u hp‘f¡ R>¡.

Ap ‘Ë$u“u g„bpC A¡L$ duV$f lp¡e R>¡. duV$f A¡ g„bpC dp‘hp“y„ âdprZs A¡L$d R>¡.

duV$f“p 100 kfMp cpN L$fuA¡, sp¡ âÐe¡L$ cpN A¡L$ k¢qV$duV$f“p¡ lp¡e R>¡.

1 duV$f = 100 k¢qV$duV$f

kgdp : Ap ‘l¡gp Ap‘Z¡ âh¡iÜpf“p b¡ õs„c hÃQ¡“y„ A„sf v$p¡fu“u dv$v$’u dpàey„ lsy„. s¡ ‘Ë$u“u

dv$v$’u duV$f A“¡ k¢qV$duV$fdp„ afu’u dp‘uA¡.

“„vy$ : b¡ õs„c hÃQ¡“y„ A„sf 3 duV$f 80 k¢qV$duV$f R>¡.

V$p¡“u : dpfp¡ cpC Ap¡Ry>„ A„sf dp‘hp dpV¡$ L„$‘pk ‘¡V$udp„“u “p“u aºV$‘Ë$u hp‘f¡ R>¡.

bl¡“ : Ap aºV$‘Ë$u D‘f dp¡V$u r“ip“u ‘pk¡ 1, 2, 3, 4, ... gM¡gy„ lp¡e R>¡. Ap k„¿ep k¢qV$duV$f

v$ip®h¡ R>¡. b¡ dp¡V$u r“ip“u hÃQ¡ “p“u-“p“u r“ip“u lp¡e R>¡ s¡ r“ip“u k¢qV$duV$f’u “p“p„

A¡L$d v$ip®h¡ R>¡.

“„vy$ : Ap âdprZs ‘Ë$u hX¡$ Ap‘Z¡ Qp¡L$“u g„bpC afu’u dp‘uA¡.

kgdp : Ap Qp¡L$“u g„bpC 8 k¢qV$duV$f R>¡.

Page 47: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

38

C M Y K38

duV$f - k¢qV$duV$f

duV$f A¡ 1 k¢qV$duV$f“p 100 NZp lp¡e R>¡. dp¡Vy„$ A„sf dp‘hp dpV¡$ duV$f“p¡ âdprZs A¡L$d h‘fpe R>¡.

duV$f‘Ë$u

F “uQ¡“p“y„ A„sf / g„bpC k¢qV$duV$fdp„ dp‘ip¡ L¡$ duV$fdp„ s¡ s¼spdp„ gMp¡.

‘¡[Þkg“u g„bpC “p¡V$byL$“u g„bpC

b¡ dL$p“ hÃQ¡“y„ A„sf dp¡bpCg“u g„bpC

fõsp“u ‘lp¡mpC b¡ õs„c hÃQ¡“y„ A„sf

F “uQ¡“p“y„ A„sf sd¡ âdprZs A¡L$ddp„ dp‘p¡ A“¡ rdÓp¡“¡ dp‘hp dpV¡$ L$lp¡. A¡L$buÅ“p dp‘“p¡ spmp¡ d¡mhu Sy>Ap¡. saphs Aphsp¡ lp¡e sp¡ afu’u dp‘p¡.

D ipmp“u k„fnL$ c]s“u g„bpC D ‘yõsL$“u g„bpC D R>p‘p“u g„bpC D V¡$bg“u g„bpC D hf„X$p“u g„bpC D V¡$bg“uS>du“’u KQpCF ÅZu gp¡. D dçdu“u kpX$u“u g„bpC D r‘sp“p iV®$ dpV¡$ Å¡Csp L$‘X$p„“u g„bpC D bl¡““u Ap¡Y$Zu“u g„bpC D Vy$hpg“u g„bpC D ê$dpg“u g„bpCF “uQ¡“p“p dp‘“p¡ A„v$pS> bp„^p¡. A„v$pS> kpQp¡ R>¡ L¡$ Mp¡V$p¡ s¡ dp‘u“¡ QL$pku Sy>Ap¡.

“pd A„v$pS> âÐen ‘Ëu’u / V¡$‘’u dp‘u“¡

c]X$p“u g„bpC

Nyhpfi]N“u g„bpC

dfQp„“p R>p¡X$“u KQpC

Sy>hpf“p X|„$X$p“u KQpC

hX$“p TpX$“p¡ O¡fphp¡

amuepdp„“p b¡ TpX$ hÃQ¡“y„ A„sf

- rinL$ dpV¡$ : hN®dp„ duV$f, k¢qV$duV$f“u r“ip“uhpmu ‘Ë$u c]s D‘f gNpX$u rhÛp’}Ap¡“¡ A¡L$buÅ“u KQpC dp‘hp“u sL$ Ap‘hu.

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39

dp‘“ : hS>“ (hõsydp“)

kp¡“y : Ap v$X$p“y„ hS>“ 17 Np¡V$u S>¡V$gy„ R>¡.

“„vy$ : v$X$p“y„ hS>“ dpfu ‘pk¡“u 10 Np¡V$u S>¡V$gy„ ’ey„.

kgdp : Aphy„ L¡$d ’ey„ ? A¡L$ S> v$X$p“y„ hS>“ Sy>vy „$Sy>vy$ „ L¡$d ?

V$p¡“u : kp¡“yA¡ gph¡gu Np¡V$u “p“u lsu A“¡ “„vy$A¡ gph¡gu Np¡V$u dp¡V$u lsu, dpV¡$ Aphy„ ’ey„ li¡.

bl¡“ : Af¡, Aphy„ ’pe R>¡ dpV¡$ S> sp¡ vy$L$p“dp„ hS>“ dp‘hp“p âdprZs A¡L$d A¡V$g¡ L¡$ dp‘ lp¡e R>¡.

A¡L$ S> hõsy“y„ hS>“ âdprZs dp‘“u dv$v$’u L$p¡C‘Z L$f¡ sp¡ ‘Z s¡ kfMy„ S> Aph¡ R>¡. qL$gp¡N°pd A¡ hS>“ dp‘hp“p¡ âdprZs A¡L$d R>¡.

d“¡ 5 qL$gp¡N°pd OJ Å¡CA¡ R>¡.

d“¡ 2 qL$gp¡N°pd

Sy>hpf Å¡CA¡¡

R>¡.

d“¡ 1 qL$gp¡N°pd Mp„X$ Ap‘p¡.

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40

C M Y K40

Ap‘¡gu hõsy“y„ hS>“ 1 qL$gp¡N°pd L$fsp Ap¡Ry>„ L¡$ h^pf¡ R>¡, s¡“p¡ A„v$pS> bp„^p¡ A“¡ vy$L$p“dp„ S>C“¡ Mpsfu L$fu gp¡.

hõsy“y„ “pdA„v$pS>¡ hS>“ 1 qL$gp¡N°pd /1 qL$gp¡N°pd L$fsp„ Ap¡Ry>„ /1 qL$gp¡N°pd L$fsp„ h^pf¡

âÐen dp‘“

duW$p“y„ ‘X$uLy „$

Np¡m“p¡ dp¡V$p¡ Np„NX$p¡

50 rb[õL$V$p¡

5 hpV$L$u Mp„X$

V$p¡“u : dçdu“¡ iufp¡ b“phhp dpV¡$ A^p£ qL$gp¡N°pd kpL$f Å¡Csu lsu. Ofdp„ sp¡ 1 qL$gp¡N°pd kpL$f“y„

‘X$uLy „$ lsy„.

kgdp : ‘R>u s¡ iy„ L$ey„ ® ?

V$p¡“u : lº„ s¡ 1 qL$gp¡N°pd kpL$f ÓpS>hp“p bß¡ ‘gX$pdp„ ’p¡X$u ’p¡X$u “p„Msp¡ Nep¡ A“¡ ‘gX$p kdp“

k‘pV$uA¡ Aph¡ s¡ Å¡ey„. Ap âdpZ¡ A¡L$ qL$gp¡N°pd kpL$f“p b¡ kdp“ cpN ’ep. A¡V$g¡ âÐe¡L$

‘gX$p“u kpL$f A^p£ qL$gp¡N°pd ’C s¡ dçdu“¡ Ap‘u.

kgdp : dpfu dçdu“¡ ‘Z A^p£ qL$gp¡N°pd hS>““u hõsy“u OZu hMs S>ê$f ‘X¡$ R>¡.

V$p¡“u : lº„ s“¡ A^p® qL$gp¡N°pd hS>““y„ dp‘ s¥epf L$fu Ap‘y„ Ry>„. A^p£ qL$gp¡N°pd kpL$f A¡L$ ‘gX$pdp„ fpMu“¡

buÅ ‘gX$pdp„ s¡V$gp S> hS>““p “p“p-“p“p ‘Õ’f d|L$u“¡ A¡L$ ê$dpgdp„ bp„^u fpMy Ry>„. s¡ ’ey„

A^p® qL$gp¡N°pd“y„ dp‘.

kgdp : A¡V$g¡ Aphu fus¡ Ap‘Z¡ ‘p qL$gp¡N°pd hS>““y„ dp‘ ‘Z s¥epf L$fu iL$uA¡.

F A¡L$ qL$gp¡N°pd“y„ dp‘ A“¡ ÓpS>hp“u dv$v$’u “uQ¡“p hS>““p Qp¡Mp / ^J / Sy>hpf dp‘p¡.

D 2 qL$gp¡N°pd D 5 qL$gp¡N°pd D 3 qL$gp¡N°pd D A^p£ qL$gp¡N°pd

F sdpfy„ hS>“ L¡$V$gy„ R>¡ s¡ Sy>Ap¡. sdpfp„ rdÓ L$fsp„ hS>“ L¡$V$gy„ Ap¡Ry>„ / h^pf¡ R>¡ s¡ L$lp¡.

F Sy>v$pSy>v$p âL$pf“p hS>“L$p„V$p“u dprlsu d¡mhp¡ A“¡ s¡“p D‘ep¡N L$fu“¡ Sy>Ap¡.

D [õâ„NL$p„V$p¡ D Cg¡¼V²$p¡r“L$ L$p„V$p¡ D v$p„X$uhpmp¡ L$p„V$p¡ (ÓpS>hy„)

D dpZk“y„ hS>“ L$fpe s¡ L$p„V$p¡

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42

C M Y K42

D‘f“p âÐe¡L$ hpkZdp„ 3 rgV$f ‘pZu f¡X$p¡. hpkZ“p„ ApL$pf Sy>v$pSy>v$p lp¡hp“¡ L$pfZ¡ s¡dp“y„ ‘pZu Sy>v$p ApL$pf“y„ v$¡Mpi¡. ‘f„sy âÐe¡L$ hpkZdp„“p ‘pZu“y„ L$v$ (ApL$pfdp“) 3 rgV$f S> R>¡.

Ap bpgv$udp„ 1 rgV$f“u 5 iuiu ‘pZu f¡X$éy„. Apdp„“p ‘pZu“y„ L$v$ 5 rgV$f R>¡. Ap S> bpgv$u ‘|Z® cfhp dpV¡$ s¡dp„ L¡$V$gp rgV$f ‘pZu kdpi¡ s¡ Sy>Ap¡.

Ap bpgv$udp„ 12 rgV$f ‘pZu kdpe R>¡, A¡V$g¡ Ap bpgv$u“u ^pfL$sp 12 rgV$f R>¡.

NpNf, bpgv$u, ‘u‘, lp„X$p¡, s‘¡gp A’hp L$p¡C‘Z hpkZ ‘|Z® cfhp dpV¡$ S>¡V$gy„

‘pZu Å¡CA¡ s¡“¡¡ hpkZ“u ^pfL$sp L$l¡ R>¡.

F 5p rgV$f ^pfL$sp hpmu iuiu gp¡. Ap dp‘“u dv$v$’u hpkZ D‘f r“ip“u L$fu“¡ “uQ¡“p dp‘ s¥epf L$fp¡.

D b¡ rgV$f D A^p£ rgV$f D v$p¡Y$ rgV$f D 5p rgV$f

F “uQ¡“u bpbsp¡ dpV¡$ sdpfp Of¡ A„v$pS>¡ L¡$V$gp rgV$f ‘pZu h‘fpe R>¡ s¡“u “p¢^ L$fp¡.

D “plhp dpV¡$ D hpkZ õhÃR> L$fhp dpV¡$ D dp¢ ^p¡hp dpV¡$ D N„v$L$u L$Qfp¡ kpa L$fhp dpV¡$ D ‘uhp dpV ¡$ D bpN dpV¡$

D fkp¡C dpV ¡$ D v$k L$‘ Qp dpV ¡$ D hpl“ ^p¡hp dpV¡$F ‘pZu ¼ep ¼ep “L$pdy„ Åe R>¡, s¡ õ’m“u epv$u L$fp¡. L¡$V$gy„ ‘pZu “L$pdy„ Åe R>¡ s¡“p¡

A„v$pS> bp„^p¡ A“¡ D‘pe k|Qhp¡.

A.¾$. õ’mA„v$pS>¡ L¡$V$gp rgV$f

‘pZu “L$pdy„ Åe R>¡ ?D‘pe

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44

F ApL©$rsb„^ Ýep“dp„ fpMu“¡ Mp“p ‘|Z® L$fp¡.

1 # 1 = 1 2 #2 = 4 3 #3 = 9 6#6 =36

5 10 15 30

2 9 16 30 44

F ‘p¡sp“u Ås¡ A¡L$ ApL©$rsb„^ s¥epf L$fp¡.

Page 54: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

45

F “uQ¡“p ApL©$rsb„^dp„ âÐe¡L$ ApL©$rs“¡ A¡L$ ¾$dp„L$ Ap‘¡gp¡ R>¡.

....

1 2 3 4 5 6 7 8 9

D‘f“p ApL©$rsb„^dp„ L¡$V$gpdp„ ¾$dp„L$“u ApL©$rs "rÓL$p¡Z' R>¡ A“¡ L¡$V$gpdp„ ¾$dp„L$“u ApL©$rs "hsy®m' R>¡ ?ÓuÆ ApL©$rs rÓL$p¡Z R>¡. R>Ì$u ApL©$rs ......... R>¡. ApW$du ApL©$rs ......... li¡. ArNepfdu .........., ‘„v$fdu ............., hukdu ..........., ‘ÃQukdu ........... li¡.

F “uQ¡“p L$p¡ô$L$dp„“u ApL©$rsdp„ ApNm Aphsu ApL©$rs v$p¡fp¡ A“¡ Np¡V$u“u k„¿ep gMp¡.

ApL©$rs“p¡ ¾$d

1 2 3 4 5 6

Np¡V$u“u dp„X$Zu

Np¡V$u“u k„¿ep

1 3

ÓuÆ ApL©$rsdp„ .......... Np¡V$u R>¡. Qp¡’u ApL©$rsdp„ ........... Np¡V$u R>¡. kpsdu ApL©$rsdp„ L¡$V$gu Np¡V$u li¡, s¡ sd¡ rQÓ v$p¡ep® hNf Ap¡mMu iL$ip¡ L¡$ ? L¡$V$gu s¡ gMp¡. lh¡ rQÓ v$p¡fu“¡ Sy>Ap¡. sdpfp¡ S>hpb s‘pku Sy>Ap¡.v$kdu ApL©$rsdp„ L¡$V$gu Np¡V$uAp¡ li¡ ?

ApX$u gpC“dp„ Aph¡gu ÓZ k„¿ep“p¡ kfhpmp¡ L$fuA¡, sp¡ S>hpb 27 Aph¡ R>¡ A“¡ Ecu gpC““u ÓZ k„¿ep“p¡ kfhpmp¡ ‘Z 27 Aph¡ R>¡.

kp¡“y : A“¡ Óp„ku gu^¡gu ÓZ k„¿ep“p¡ kfhpmp¡ ‘Z 27 S> Aph¡ R>¡ !

kgdp : X$pbu bpSy>“p Mp“pdp„“u ÓZ

gpC““u 3 k„¿ep Sy>Ap¡.

s¡dp„“u hÃQ¡“u ApX$u, hÃQ¡“u

Ecu A“¡ Óp„ku gpC““u k„¿ep“p¡

kfhpmp¡ ‘Z kdp“ R>¡.

frh kp¡d d„Nm by^ Nyfy iy¾$ ir“1 2 3 4

5 6 7 8 9 10 11

12 13 14 15 16 17 18

19 20 21 22 23 24 25

26 27 28 29 30 31

rinL$ dpV¡$ : qv$“v$ri®L$pdp„“p A¡L$ ‘p“p D‘f“u k„¿epdp„ lÆ h^pf¡ ApL©$rsb„^ ip¡^hp bpmL$p¡“¡ âh©Ñ L$fhp.

V$p¡“u : Af¡, Sy>Ap¡ d“¡ Ap qv$“v$ri®L$p (L¡$g¡ÞX$f) dp„ iy„ dþey„ ? Al] sp¡ Sy>v$p¡ S> ApL©$rsb„^ R>¡. Å¡

.... ....

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46

C M Y K46

F “uQ¡ v$ip®h¡gu gpv$uAp¡ Å¡X$u“¡ b“ph¡gu qX$TpC“ (ApL©$rsb„^“)“y„ r“funZ L$fp¡.Al] gpv$uAp¡“¡ rhrióV$ fus¡ Å¡X¡$gu R>¡. b¡ gpv$u“u hÃQ¡ Mpgu S>Áep fl¡gu “’u A’hp S>du““p¡ cpN Myëgp¡ füp¡ “’u, s¡ Ýep“dp„ gp¡.

F A¡L$ S> âL$pf“u gpv$u“p¡ D‘ep¡N L$fu“¡ s¥epf ’e¡g qX$TpC“ (ApL©$rsb„^“)“y„ r“funZ L$fp¡. Ap S> gpv$u“p¡ D‘ep¡N L$fu“¡ A¡L$ h^pf¡ qX$TpC“ (ApL©$rsb„^) L$fu iL$pe R>¡ L¡$ S>¡d s¡ Sy>Ap¡.

F “uQ¡“p rQÓp¡dp„“u qX$TpC“ (ApL©$rsb„^) ‘|Z® L$fhp dpV¡$ L$C gpv$u“p¡ D‘ep¡N L$f¡gp¡ R>¡. s¡ Ýep“dp„ gp¡ A“¡ Å¡X$u b“php¡.

- rinL$ dpV¡$ : gpv$uAp¡“u dp„X$Zu“¡ gu^¡ s¥epf ’e¡gu ‘qfkfdp„“u qX$TpC“ (ApL©$rsb„^“)“y„ r“funZ L$fhp L$lp¡. s¡“u rhrióV$sp“uQQp® L$fhu. A¡L$pv$p M¡sf“u dygpL$ps gC“¡ Ðep„“p R>p¡X$(fp¡‘)“¡ hphhp“¡ gu^¡ qX$TpC“ (ApL©$rsb„^“) v$¡Mpe R>¡ L¡$ L¡$d s¡ Å¡hp L$lp¡.

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47

k„rdsu

F bpSy>“p ‘p„v$X$p„“y„ r“funZ L$fp¡.

Aphp S> âL$pf“p TpX$“y„ ‘p„v$Xy „$ gp¡. s¡“¡ A“¡L$ rifp R>¡.

hÃQp¡hQ A¡L$ Ecu rifp R>¡. s¡ rifp D‘f’u ‘p„v$X$p„“u NX$u hpmp¡.

Ap‘Z“¡ iy„ v$¡Mpi¡ ?

‘p„v$X$p„“p¡ A¡L$ cpN buÅ cpN D‘f b„^b¡ksp¡ Aph¡ R>¡.

‘p„v$X$p“u AÞe rifp D‘f’u NX$u hpmu“¡ Sy>Ap¡.

Ap‘Z“¡ iy„ v$¡Mpi¡ ?

‘p„v$X$p„ „“p¡ A¡L$ cpN buÅ cpN D‘f b„^b¡ksp¡ “’u.

ApL©$rsdp„ v$ip®ìep âdpZ¡ A¡L$ rÓL$p¡ZpL$pf L$pNm gp¡. Ecu s|V$L$ f¡Mp D‘f NX$u hpmp¡.rÓL$p¡ZpL$pf L$pNm“p¡ A¡L$ cpN buÅ cpN D‘f b„^b¡ksp¡ Aph¡ R>¡ L¡$ L¡$d ?

buÆ ApL©$rsdp„ v$ip®ìep âdpZ¡ Sy>v$p¡ rÓL$p¡ZpL$pf L$pNm gC“¡ Ecu s|V$L$ f¡Mp D‘f NX$u hpmp¡. Ap L$pNm“p¡ A¡L$ cpN buÅ cpN kp’¡ b„^b¡ksp¡ Aph¡ R>¡ L¡$ L¡$d ?

A¡L$pv$u f¡Mp hX¡$ ApL©$rs“p ’sp„ b¡ cpN A¡L$buÅ D‘f b„^b¡ksp Aph¡, sp¡ s¡ ApL©$rs s¡ f¡Mp“p k„v$c®dp„ k„rds ApL©$rs lp¡e R>¡ A“¡ b„^b¡ksp “ Aph¡ sp¡, s¡ ApL©$rs s¡ f¡Mp“p k„v$c®dp„ k„rds lp¡su “’u.

F Ap‘¡gu s|V$L$ f¡Mp kp’¡ k„rds lp¡e s¡hu A“¡ k„rds “ lp¡e s¡hu ApL©$rs“y„ r“funZ L$fp¡.

k„rds R>¡ k„rds “’u k„rds R>¡ k„rds “’u

k„rds “’u k„rds “’u k„rds R>¡ k„rds “’u

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48

C M Y K48

k„rds R>¡ k„rds R>¡ k„rds “’u k„rds R>¡ k„rds “’u

F “uQ¡“p rQÓp¡ A¡L$pv$ f¡Mp“p k„v$c®dp„ k„rds R>¡ L¡$ “rl s¡ “½$u L$fp¡. k„rdsu lp¡e s¡ rQÓ “uQ¡“p Mp“pdp„

3 Aphu r“ip“u L$fp¡ A“¡ “ lp¡e sp ¡ 5 Aphu r“ip“u L$fp¡.

F “uQ¡“u âÐe¡L$ ApL©$rs k„rds R>¡, s¡ Å¡hp dpV¡$ S>¡ S>ÁepA¡’u NX$u hpmhu ‘X$i¡ s¡hu S>ÁepA¡ f¡Mp v$p¡fp¡.

F “uQ¡“u k„rds ApL©$rsAp¡“p b¡kdp“ AX$^p cpN Sy>v$p Sy>v$p f„N’u f„Np¡.

FA¡L$ Qp¡fk L$pNm gp¡. Ap L$pNm“u Sy>v$uSy>v$u fus¡ NX$u hpmu“¡ k„rdsu s‘pku Sy>Ap¡.

- qinL$ dpV¡$ : kdcyS> rÓL$p¡Z, kdqÜcyS> rÓL$p¡Z, kdp„sfcyS> QsyóL$p¡Z, hsy®®m S>¡hp ApL$pf“p L$pNm Ap‘u“¡ k„rdsu QL$pku Å¡hp“p¡ D‘¾$d L$fphhp¡.

S>¡ âpZuAp¡“p, ‘nuAp¡“p, ‘p„v$X$p„“p, aŸgp¡“p rQÓp¡ k„rds R>¡, s¡hp rQÓp¡“p¡ k„N°l L$fphhp¡.

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49

C M Y K49

b„O A“¡ Myëgu ApL©$rsAp¡

b„O Myëgu

L¡$V$guL$ b„O ApL©$rsAp¡ L¡$V$guL$ Myëgu ApL©$rsAp¡

rhQpf L$fp¡

F Ap‘¡gu ApL©$rsdp AX¡$$ “rl s¡hu f¡Mp’u A A“¡ b tbvy$ Å¡X$u iL$pe ? s¡ S> âdpZ¡ b A“¡ L$ tbvy$ Å¡X$u iL$pe ?

F ApNm Ap‘¡gu ApL©$rsAp¡dp„ b„O A“¡ Myëgu ApL©$rsAp¡ Ap¡mMp¡.

F bpSy>“u f„Np¡muAp¡dp„ b„O A“¡ Myëgu ApL©$rsAp¡“y„ r“funZ L$fp¡. f„Np¡muAp¡dp„ f„N cfp¡.

F Ap‘¡gu ApL©$rsdp„ AX¡$ “rl s¡hu f¡Mp’u ‘ A“¡ a tbvy$ Å¡X$u iL$pe ?

s¡ S> âdpZ¡ ‘ A“¡ d tbvy$ Å¡X$u iL$pe ?

D M

F L$ F b

F a

F d‘A

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51

n hØuhpmp (hØuey¼s) kfhpmp

1 i 2 v$ 8 A¡

+

2 i 1 v$ 6 A¡

3 i 3 v$ 14 A¡

1 v$ 4 A¡

A¡L$d“p¡ kfhpmp¡ L$fhp’u 14 A¡L$d Aph¡ R>¡. 14 A¡L$d A¡V$g¡ 1 v$iL$ A“¡ 4 A¡L$d. Ap v$iL$, v$iL$“p Ofdp„ gCA¡. lh¡ kfhpmp¡ Sy>Ap¡.

A¡L$d“p Ofdp„ 4 A¡L$d fl¡i¡. s¡ guV$u “uQ¡ A¡L$d“p Mp“pdp„ g¿ep. v$iL$“p Ofdp„ ‘l¡gp 2 A“¡ 1 s¡dS> “hp¡ 1 dmu“¡ 4 v$iL$ ’ep. s¡ v$iL$“p Ofdp„ guV$u “uQ¡ g¿ep. isL$“p Of“p A„L$p¡“p¡ kfhpmp¡ 3 Apìep¡. s¡ isL$“p Mp“pdp„ f¡Mp “uQ¡ g¿ep. b„“¡ k„¿ep“p¡ kfhpmp¡

3 i 4 v$ 4 A¡ A¡V$g¡ 344 ’i¡.

F 1 i

1 i 5 v$ 2 A¡

+

1 i 7 v$ 3 A¡

3 i 12 v$ 5 A¡

12 v$iL$ A¡V$g¡ 1 isL$ A“¡ 2 v$iL$. Ap “hp¡ 1 isL$, isL$“p Ofdp„ gMuA¡. s¡ “hp¡ isL$ isL$“p Ofdp„ g¿ep¡ s¡’u v$iL$“p Ofdp„ 2 füp. isL$“p¡ kfhpmp¡ L$fuA¡. ‘l¡gp 2 isL$ A“¡ 1 “hp¡ isL$ dmu“¡ 3 isL$ ’ep. kfhpmp¡ 325 Apìep¡.

F “uQ¡ Ap‘¡gp kfhpmp“p Dv$plfZ“p¡ Aæepk L$fp¡.

i v$ A¡ +

2 6 7

5 3 9

hØu

i v$ A¡

1

1 2 8+

2 1 6

3 4 14

v$

v$

A¡ A¡ A¡ A¡ A¡ A¡ A¡ A¡

A¡ A¡ A¡ A¡ A¡

i

ii

i v$ A¡ 1 1

2 6 7+

5 3 9

8 0 6

A¡ A¡

v$ v$ v$ v$ v$ A¡ A¡

v$ v$ v$ v$ v$A¡

i

i

v$ v$

1 i 0 v$ 1 v$ 6 A¡

v$

hØu

hØu

i v$ A¡ 1 1

2 6 7+

5 3 9

10 16

i v$ A¡

1

1 5 2+

1 7 3

3 12 5

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52

F “uQ¡“p kfhpmp L$fp¡.

lh¡ ÓZ k„¿ep“p¡ kfhpmp¡ L$fuA¡.

fus A¡ S> R>¡. A¡L$d’u iê$Aps L$fuA¡. A¡L$d“p¡ kfhpmp¡ 16.

16 A¡L$d A¡V$g¡ 1 v$iL$ 6 A¡L$d. v$iL$“p Ofdp„ D‘f A¡L$ gMuA¡. A¡L$d“p Ofdp„ guV$u “uQ¡ 6 gMuA¡. A¡L$d ‘R>u v$iL$“p Of“p A„L$p¡“p¡ kfhpmp¡ L$fuA¡. s¡ 17 Aph¡ R>¡. 10 v$iL$“p¡ 1 isL$ ’pe R>¡. s¡ “hp¡ A¡L$ isL$, isL$“p Ofdp„ D‘f gMuA¡ A“¡ 7 A„L$ v$iL$“p Ofdp„ guV$u “uQ¡ gMuA¡. R>¡ëg¡ isL$“p Of“p A„L$p¡“p¡ kfhpmp¡ L$fuA¡. isL$“p¡ kfhpmp¡ 4. s¡ isL$“p Ofdp„ guV$u “uQ¡ gMuA¡. kfhpmp¡ 476 Apìep¡.

i v$ A¡

4 7 2+ 2 0 9+ 1 4 2

i v$ A¡

4 3 2 + 9 4 + 5

i v$ A¡

3 9 5 + 6 2 + 8 4

i v$ A¡

2 5 0+ 3 4 5

+ 2 4

i v$ A¡

1 1

2 1 7+ 1 6 5

+ 9 4

4 7 6

F Dv$plfZ DL¡$gp¡

i v$ A¡ i v$ A¡ i v$ A¡ i v$ A¡

1 3 5 2 4 7 3 4 9 4 6 5+

4 7 6 +

5 1 7 +

2 1 9 +

3 3 5

i v$ A¡ i v$ A¡ i v$ A¡ i v$ A¡

3 5 6 5 4 9 7 4 2 8 5 0+

6 5 +

1 9 +

2 8 +

6 0

n “uQ¡“y„ Dv$plfZ s‘pkp¡.

F Dv$plfZp¡ DL¡$gp¡

D 1 7 2 D 5 0 0 D 6 4 3 D 4 3 7+

3 9 4 +

2 8 0 +

5 7 + 1 2 3+ 2 3 8 + 1 2 0

+6 + 2 4 5

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53

F Ecu dp„X$Zu L$fu“¡ kfhpmp¡ L$fp¡. D 235 + 146 D 346 + 129 D 536 + 236 + 19 D 749 + 128

i v$ A¡

D 275 + 246 D 382 + 199 D 455 + 267 D 545 + 165

D 270 + 196 + 58 D 370 + 195 D 307 + 245 D 162 + 375

F ApX$u dp„X$Zu’u kfhpmp¡ L$fp¡. (hØu lp¡e sp¡ d“dp„ NZp¡)D 396 + 45 D 575 + 31 D 644 + 308 D 647 + 56

D 742 + 9 D 547 + 8 D 609 + 8 D 701 + 9

D 299 + 1 D 399 + 1 D 499 + 1 D 999 + 1

D 599 + 1 D 699 + 1 D 799 + 1 D 899 + 1 D 199 + 1

F kfhpmp¡ 100 Aph¡ s¡hu Å¡X$uAp¡ gMp¡. F kfhpmp¡ 120 Aph¡ s¡hu Å¡X$uAp¡ gMp¡.

- rinL$ dpV¡$ : rhÛp’}Ap¡“¡ kfhpmp“p cf‘|f Dv$plfZp¡ L$fhp“p¡ Ap‘u“¡ dlphfp¡ Ap‘hp¡.

Page 63: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

54

i v$ A¡

+ 3 4 5 R>p¡L$fpAp¡

2 7 5 R>p¡L$fuAp¡Ly$g bpmL$p¡

ip[åv$L$ Dv$plfZp¡

F “uQ¡“p Dv$plfZp¡ DL¡$gp¡.

D N°pd õhÃR>sp Arcep“dp„ 365 ”uAp¡ A“¡ 276 ‘yfyjp¡

klcpNu ’ep, sp¡ Ly$g L¡$V$gu ìe[¼s klcpNu b“u ?

Arcep“dp„ Ly$g ìe[¼s klcpNu b“u.

D dpgsubl¡“¡ ipmp“p ‘yõsL$pge“¡ 350 ‘yõsL$p¡,

hk„sfph¡ 400 ‘yõsL$p¡ A“¡ S>e„sfpe¡ 165 ‘yõsL$p¡

c¡V$ Apàep, sp¡ Ly$g L¡$V$gp ‘yõsL$p¡ c¡V$ dþep ?

D V¡$L$fu D‘f 230 Nygdlp¡f“p, 375 L$X$hp gudX$p“p TpX$ A“¡ 160 kpN“p TpX$ hpìep, sp¡ Ly$g L¡$V$gp TpX$ hpìep ?

D âv|$jZ s‘pkZu L¢$Ödp„ 193 b¡ ‘¥X$p„hpmp hpl“p¡“u A“¡ 297 Qpf ‘¥X$p„hpmp hpl“p¡“u âv|$jZ s‘pkZu ’C,sp¡ Ly$g L¡$V$gp„ hpl“p¡“u âv|$jZ s‘pkZu ’C ?

F Ap‘¡gu dprlsu“p Ap^pf¡ kfhpmp“p ip[åv$L$ Dv$plfZp¡s¥epf L$fp¡ A“¡ DL¡$gp¡.

dprlsu : h©nqv$“ DS>hZu-345 R>p¡L$fpAp¡ A“¡ 275 R>p¡L$fuAp¡. Dv$plfZ : h©nqv$“ DS>hZudp„ 345 R>p¡L$fpAp¡ A“¡ 275 R>p¡L$fuAp¡ klcpNu b“u, sp¡ Ly$g L¡$V$gp bpmL$p¡ h©nqv$“ DS>hZudp„ klcpNubÞep ?h©nqv$“ DS>hZudp„ Ly$g bpmL$p¡ klcpNu bÞep.

D hpsp®“p ‘yõsL$p¡ 50, L$rhsp“p ‘yõsL$p¡ 75.D äp¡L$“u qL„$ds 275 ê$r‘ep, iV®$“u qL„$ds 399 ê$r‘ep. D V$p¡‘gudp„ 35 L¡$fu, 45 ‘¡fy.

i v$ A¡

+ 3 6 5 õÓuAp¡

2 7 6 ‘yê$jp¡

Page 64: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

55

C M Y K55

hØuey¼s bpv$bpL$u (‘|h®s¥epfu)

F

10 ê$r‘ep A¡V$g¡ 1 ê$r‘ep“p 10 rk½$p

100 ê$r‘ep A¡V$g¡ 10 ê$r‘ep“u 10 “p¡V$p¡ A¡V$g¡ S> 1 ê$r‘ep“p 100 rk½$p

10 i¡fX$u“p¡ A¡L$ cpfp¡ A¡ âdpZ¡ 10 cpfp A¡V$g¡ Ly$g 100 i¡fX$u

kp¡“y : dpfu ‘pk¡ 100 ê$r‘ep“u b¡ “p¡V$p¡ R>¡. dpf¡ “„vy$“¡ 70 ê$r‘ep Ap‘hp“p R>¡.

kgdp : sy„ L¡$hu fus¡ Ap‘ui ?

kp¡“y : lº„ 100 ê$r‘ep“u A¡L$ “p¡V$ R|>V$u L$fphu 10 ê$r‘ep“u 10 “p¡V$ gphui.

“„vy$ : s¡dp„’u sy„ d“¡ 10 ê$r‘ep“u 7 “p¡V$ Ap‘.

kgdp : A¡V$g¡ kp¡“y ‘pk¡ 100 ê$r‘ep“u 1 “p¡V$ A“¡ 10 ê$r‘ep“u 3 “p¡V$ h^i¡.

kp¡“y : lp ! A¡V$g¡ dpfu ‘pk¡ 130 ê$r‘ep h^i¡.

1 isL$ = 10 v$iL$

2 isL$$ = 1 isL$$ 10 v$iL$ 4 isL$$ = 3 isL$ 10 v$iL$

3 isL$ = 2 isL$ 10 v$iL$ 7 isL$$ = 6 isL$ 10 v$iL$

5 isL$ = 4 isL$ + v$iL$$ 6 isL$ = isL$ + 10 v$iL$

bpv$bpL$u : hØuey¼s

Page 65: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

56

C M Y K56

bpv$bpL$u : v$iL$ R|>V$p L$fu“¡

F bpv$bpL$u L$fsu hMs¡ ¼epf¡L$ 1 isL$ A’hp 1 v$iL$ R|>V$p L$fhp ‘X¡$ R>¡. h^pf¡ isL$ A’hp h^pf¡ v$iL$ lp¡e sp¡ ‘Z A¡L$S> isL$ A’hp A¡L$S> v$iL$ R|>V$p L$fhp ‘X¡$ R>¡.

F “uQ¡“p Dv$plfZ“p¡ Aæepk L$fp¡.dpfu ‘pk¡ 51 ê$r‘ep R>¡. v$k“u 5 “p¡V$p¡ A“¡ 1 R|>V$p¡ ê$r‘ep¡ R>¡. s¡dp„’u dpf¡ 24 ê$r‘ep vy$L$p“v$pf“¡ Ap‘hp“p R>¡.A¡L$ddp„“p 1 dp„’u 4 Ap‘u iL$psp “’u, dpV¡$ v$k“u A¡L$ “p¡V$ R|>V$u L$fu“¡ s¡“p 10 R|>V$p„ê$r‘ep L$ep®.

lh¡ dpfu ‘pk¡ v$k“u 4 “p¡V$p¡ A“¡ R|>V$p ’e¡gp 10 ê$r‘ep A“¡ ApNm“p¡ 1 ê$r‘ep¡ dmu“¡

11 R|>V$p ê$r‘ep ’i¡. 11 R|>V$p ê$r‘epdp„’u 4 R|>V$p ê$r‘ep Ap‘uA¡, dpV¡$ 11 dp„’u 4 bpv$ L$fuA¡. 7 R|>V$p ê$r‘ep h^¡ R>¡. Ap 7 A¡L$d“u “uQ¡ gMuA¡.lh¡ v$iL$“u bpv$bpL$u L$fuA¡. 4 dp„’u 2 bpv$ L$fuA¡. hÝep 2. bpv$bpL$u 27 Aphu, dpV¡$ dpfu ‘pk¡ 27 ê$r‘ep hÝep.

v A¡

5 1 -

2 4

v A¡

4 11

5 1 -

2 4

2 7

v$ A¡

5 12

6 2 - 2 7

3 5

v$ A¡

7 3 - 4 5

v$ A¡

8 1 - 5 8

v$ A¡

9 0 - 6 9

3 isL$dp„’u1 isL$“p v$iL$ L$fuA¡

100 100

10 10 10 10

10 10 10 10 10 10

3 isL$ A¡V$g¡ 2 isL$ 10 v$iL$

2 isL$dp„’u1 isL$“p v$iL$ L$fuA¡.

A“¡ s¡dp„“p 1 v$iL$“p A¡L$d L$fuA¡.

100

10 10 10 10

10 10 10 10 10

1 1 1 1 1

1 1 1 1 1

2 isL$ A¡V$g¡ 1 isL$ 10 v$iL$A¡V$g¡ S> 1 isL$ 9 v$iL$ 10 A¡L$d

100

10

F bpv$bpL$u L$fp¡.

100

Page 66: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

57

bpv$bpL$u : isL$ R|>V$p L$fu“¡

545 A¡V$g¡ 5 isL$ 4 v$iL$ A“¡ 5 A¡L$d. s¡dp„’u 265 bpv$ L$fhp“p R>¡. 5 A¡L$ddp„’u 5 A¡L$d bpv$ L$fsp„ i|Þe A¡L$d hÝep. lh¡ 4 v$iL$dp„’u 6 v$iL$ bpv$ L$fu iL$pi¡ “rl, ‘Z 5 isL$ R>¡, s¡dp„’u 1 isL$“p R|>V$p L$fuA¡. isL$“p Ofdp„ 4 hÝep. A¡L$ isL$“p 10 v$iL$ ’pe R>¡. s¡ 10 A“¡ ApNm“p 4 A¡d 14 v$iL$ R>¡. s¡dp„’u 6 v$iL$ bpv$ L$fuA¡, A¡V$g¡ 8 hÝep. lh¡ 4 isL$dp„’u 2 isL$ bpv$ L$fuA¡. S>hpb Apìep¡ 280.

7 rk½$pdp„’u 8 rk½$p Ap‘u iL$pe “rl, dpV¡$ 10 “u b¡ “p¡V$p¡dp„’u 1 “p¡V$ R|>V$u L$fphhu Å¡CA¡.s¡“¡ gu^¡ Al] 10 “u A¡L$ “p¡V$“p 10 A“¡ ‘l¡gp 7 A¡V$g¡ 17 R|>V$p ê$r‘ep ’i¡. 17 dp„’u 8 ê$r‘ep Ap‘uA¡. 10 “u 1 “p¡V$ R>¡, s¡ Ap‘uA¡. A¡V$g¡ 10 “u “p¡V$ h^i¡ “rl A“¡ kp¡ “u 5 “p¡V$p¡dp„’u 3 “p¡V$p¡ Ap‘u iL$pi¡. dpV¡$ “„vy$ ‘pk¡ 209 ê$r‘ep h^i¡.

i v$ A¡

1 17

5 2 7 -

3 1 8

2 0 9

i v$ A¡

4 14

5 4 5 -

2 6 5

2 8 0

F bpv$bpL$u L$fp¡.

i v$ A¡

2 7 1 -

1 3 8

i v$ A¡

6 5 4 -

5 6

i v$ A¡

7 3 1 -

2 4 8

i v$ A¡

8 3 5 -

2 5 8

i v$ A¡

5 6 7 -

2 4 9

i v$ A¡

6 5 0 -

6 4 5

i v$ A¡

7 7 5 -

3 9 7

i v$ A¡

6 8 0 -

1 5 4

F “„vy$ ‘pk¡ 100 ê$r‘ep“u 5 “p¡V$p¡, 10 ê$r‘ep“u b¡ “p¡V$p¡ A“¡ 1 ê$r‘ep“p 7 rk½$p R>¡. s¡Z¡ s¡dp„’u kp¡“y“¡ 318 ê$r‘ep Apàep. sp¡ s¡“u ‘pk¡ L¡$V$gp ê$r‘ep hÝep ?

F bpv$bpL$u L$fp¡ : 545 - 265

Page 67: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

58

C M Y K58

F bpv$bpL$u L$fp¡ : 507 - 288

7 A¡L$ddp„’u 8 A¡L$d bpv$ ’sp “’u. dpV¡$ 1 v$iL$ R|>V$p L$fhp Å¡CA¡. ‘f„sy v$iL$õ’p“¡ ‘Z L„$C “’u, dpV¡$ 1 isL$ R|>V$p L$fu“¡ 10 v$iL$ d¡mhuA¡. ‘R>u s¡dp„’u A¡L$ v$iL$ R|>V$p L$fu“¡ 10 A¡L$d dm¡ R>¡. s¡ A“¡ ‘l¡gp“p 7 dmu 17 A¡L$d ’ep. s¡dp„’u 8 A¡L$d bpv$ L$fu“¡ 9 A¡L$d hÝep. s¡ bpv$bpL$udp„ gMuA¡. lh¡ v$iL$“p Ofdp„ 9 R>¡, s¡dp„’u 8 bpv$ L$ep®. 1 v$iL$ hÝep s¡ bpv$bpL$udp„ gMuA¡. R>¡ëg¡ 4 isL$ bpL$u R>¡. s¡dp„’u 2 bpv$ L$fu h^¡gp 2 isL$ bpv$bpL$udp„ gMuA¡. bpv$bpL$u 219 Apìep.

F bpv$bpL$u L$fp¡ : 900 - 365

Al] 0 A¡L$ddp„’u 5 A¡L$d bpv$ ’sp “’u. dpV¡$ v$iL$ R|>V$p L$fhp Å¡CA¡. ‘Z v$iL$ õ’p“¡ ‘Z L„$C “’u. dpV¡$ 1 isL$ R|>V$p L$fu 10 v$iL$ d¡mhuA¡. ‘R>u s¡dp„“p¡ A¡L$ v$iL$ R|>V$p¡ L$fu 10 A¡L$d dm¡ R>¡. s¡dp„’u 5 A¡L$d bpv$ L$fuA¡. h^¡gp 5 A¡L$d bpv$bpL$udp„ gMuA¡. lh¡ v$iL$“p Ofdp„ 9 R>¡, s¡dp„’u 6 bpv$ L$ep®. 3 v$iL$ hÝep s¡ bpv$bpL$udp„ gMuA¡. R>¡ëg¡ 8 isL$ bpL$u R>¡. s¡dp„’u 3 bpv$ L$fu h^¡gp 5 isL$ bpv$bpL$udp„ gMuA¡. bpv$bpL$u 535 Aphu.

F bpv$bpL$u L$fp¡.

F Ecu dp„X$Zu L$fu bpv$bpL$u L$fp¡.

D 245 - 6 D 348 - 59 D 556 - 368

D 407 - 240 D 845 - 657 D 932 - 754

F Ap‘¡gp A„L$“p¡ D‘ep¡N L$fu kp¥’u dp¡V$u ÓZ A„L$u k„¿ep A“¡ kp¥’u “p“u ÓZ A„L$u k„¿ep s¥epf L$fp¡ A“¡ s¡“u bpv$bpL$u L$fp¡.

D 3, 5, 4 D 6, 5, 1 D 7, 2, 5 D 3, 4, 8

i v$ A¡

4 10 17

5 0 7 - 2 8 8

2 1 9

9

i v$ A¡

8 10 10

9 0 0 - 3 6 5

5 3 5

9

i v$ A¡

2 0 5

-

6

i v$ A¡

3 1 0

- 9 5

i v$ A¡

8 0 0

-

2 0 7

i v$ A¡

7 0 0

- 3 4 8

Page 68: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

59

i v$ A¡

- 2 6 8

1 7 5kepÆ bpN“p TpX$dlpfpS> bpN“p TpX$

h^pf¡ TpX$

ip[åv$L$ Dv$plfZp¡

D dlpfpS> bpNdp„ 175 A“¡ kepÆ bpNdp„ 258 TpX$ R>¡. sp¡ kepÆ bpNdp„, dlpfpS> bpN L$fsp„ L¡$V$gp„ TpX$h^pf¡ R>¡ ?kepÆ bpNdp„ TpX$ h^pf¡ R>¡.s¡dp„’u dlpfpS> bpN“p TpX$“u k„¿ep bpv$ L$fuA¡.kepÆ bpNdp„ TpX$ h^pf¡ R>¡.

D vy$L$p“dp„ L¡$V$gp„L$ ‘yõsL$p¡ R>¡. vy$L$p“v$pf¡ buÅ 125 ‘yõsL$p¡ gu^p Ðepf¡vy$L$p“dp„ Ly$g 234 ‘yõsL$p¡ ’ep, sp¡ iê$Apsdp„ vy$L$p“v$pf ‘pk¡ L¡$V$gp„‘yõsL$p¡ lsp„ ?

D ipmpdp„ 350 R>p¡L$fuAp¡ A“¡ 215 R>p¡L$fpAp¡ R>¡, sp¡ R>p¡L$fp L$fsp„ R>p¡L$fuAp¡

L¡$V$gu h^pf¡ R>¡ ?

D d¡fu ‘pk¡ 500 ê$r‘ep lsp„. s¡dp„’u s¡Z¡ 275 ê$r‘ep“p ‘yõsL$p¡ gu^p, sp¡ s¡“u

‘pk¡ L¡$V$gp ê$r‘ep rkëgL$ füp ?

F Ap‘¡gu dprlsu“p Ap^pf¡ bpv$bpL$u“p ip[åv$L$ Dv$plfZp¡ s¥epf L$fp¡ A“¡ DL¡$gp¡.

dprlsu : Ad“ ‘pk¡ 325 dp¡su, kygcp ‘pk¡ 150 dp¡su.Dv$plfZ : Ad“ ‘pk¡ 325 dp¡su R>¡. kygcp ‘pk¡ 150 dp¡su R>¡. kygcpA¡ lÆ L¡$V$gp dp¡su g¡hp, S>¡’u b„“¡ ‘pk¡ kfMp dp¡su ’i¡ ?kygcpA¡ lÆ dp¡su g¡hp.

F dprlsu D‘f’u bpv$bpL$u“p Dv$plfZp¡ s¥epf L$fp¡ A“¡ DL¡$gp¡.

D 257 dp¡su, 300 dp¡su. D lpaºk L¡$fu 324, ‘pefu“u L¡$fu 268.

D 188 Ap„bp“p TpX$, 275 ‘¡fy“p TpX.$ D ^J“u NyZp¡ 932, Sy>hpf“u NyZp¡ 750.

D 195 L$pmu kpeL$gp¡, 100 gpg kpeL$gp¡. D 168 ê$r‘ep, 622 ê$r‘ep.

Page 69: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

60

kfhpmp - bpv$bpL$u

F “uQ¡“p Dv$plfZp¡ dp¥rML$ DL¡$gp¡.

D dpgsu ‘pk¡ 15 c|fp A“¡ 7 gpg aºÁNp R>¡, sp¡ Ly$g aºÁNp L¡$V$gp„ ?

D AÆs ‘pk¡ L¡$V$gp„L$ rbep R>¡. kpNf¡ s¡“¡ 25 rbep Apàep. lh¡ AÆs ‘pk¡ 65 rbep ’ep, sp¡ AÆs ‘pk¡ ‘l¡gp L¡$V$gp„ rbep lsp„ ?

D A¡L$ V$p¡‘gudp„ Nygpb“p A“¡ dp¡Nfp“p dmu“¡ 80 aŸgp¡ R>¡. s¡dp„’u 30 aŸgp¡ Nygpb“p R>¡, sp¡ dp¡Nfp“p aŸgp¡ L¡$V$gp„ ?

D h©nqv$“ DS>hhp dpV¡$ 100 bpmL$p¡ klcpNu ’ep. s¡dp„ 60 R>p¡L$fuAp¡ R>¡, sp¡ R>p¡L$fpAp¡ L¡$V$gp„ ?

D Adf¡ 42 bV¡$V$p ap¡ëep. kgdpA¡ 35 bV¡$V$p ap¡ëep. kgdpA¡ lÆ L¡$V$gp„ bV¡$V$p ap¡ghp Å¡CA¡ S>¡’u Adf¡ ap¡g¡gp bV¡$V$p S>¡V$gp bV¡$V$p ap¡ëep NZpi¡ ?

F dprlsu“p Ap^pf¡ ip[åv$L$ Dv$plfZp¡ s¥epf L$fp¡ A“¡ DL¡$gp¡. fp¡“u ‘pk¡“p ‘yõsL$p¡ 75, kp¡“y ‘pk¡“p ‘yõsL$p¡ 40, “„vy$ ‘pk¡“p ‘yõsL$p¡ 80.D fp¡¡“u A“¡ kp¡“y ‘pk¡“p dmu“¡ Ly$g L¡$V$gp„ ‘yõsL$p¡ ’pe?

D fp¡“u ‘pk¡ kp¡“y L$fsp„ L¡$V$gp„ ‘yõsL$p¡ h^pf¡ R>¡ ?

D fp¡“u L$fsp„ “„vy$ ‘pk¡ L¡$V$gp„ ‘yõsL$p¡ h^pf¡ R>¡ ?

D kp¡“yA¡ lÆ L¡$V$gp„ ‘yõsL$p¡ g¡hp, S>¡’u fp¡¡“u A“¡ kp¡“y ‘pk¡ kdp“ ‘yõsL$p¡ ’i¡ ?

F Dv$plfZp¡ s¥epf L$fp¡ A“¡ DL¡$gp¡. D gpg Np¡V$u 150, c|fu Np¡V$u 220, gugu Np¡V$u 75.D kgdp“p 272 NyZ, dp¡“y“p 245 NyZ, fpMu“p 331 NyZ

D f“k„¿epv$i®L$ ‘pqV$ey„ : Aip¡L$$ - 110, kgud - 92, X¡$huX$ - 48.

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61

C M Y K61

v$iL$“p NyZpL$pf

V$p¡“u : A¡L$pv$ k„¿ep“¡ 10 hX¡$ NyZhu A¡V$g¡ s¡ k„¿ep“p v$k NZp L$fhp.

3 # 10 A¡V$g¡ 3 “p 10 NZp, ÓZ v$pZ Óuk, 3 # 10 = 30 Ap âdpZ¡

4 # 10 = 40, 5 # 10 = 50, 6 # 10 = 60, 10 # 10 = 100.

kp¡“yy : A¡V$g¡ 13 # 10 = 130, 24 # 10 = 240 A“¡ 40 # 10 = 400 A¡d Aphi¡.

bl¡“ : A¡L$pv$ k„¿ep“¡ v$k hX¡$ NyZhu A¡V$g¡ s¡ k„¿ep“u ApNm A¡L$ i|Þe gMhy„.

kgdp : 20 # 3 A¡V$g¡ 20 + 20 + 20 = 60 Aph¡.

V$p¡“u : 20 # 3 A¡V$g¡ 2 v$iL$“p ÓZ NZp> = 6 v$iL$ = 60.

bl¡“ : 20 # 3 L$fsu hMs¡ 2 A“¡ 3 “p¡ NyZpL$pf L$fuA¡ A“¡ ApNm i|Þe gMuA¡.

NyZpL$pf 60 Apìep¡.

Ap fus¡

20 # 6 = 2 v$ # 6 = 12 v$ = 120 50 # 7 = 35 v$ = 350

40 # 5 = 4 v$ # 5 = 20 v$ = 200 80 # 3 = 24 v$ = 240

kp¡“y : Å¡ b„“¡ k„¿ep“p A¡L$d õ’p“¡ i|Þe li¡ sp¡ ?

bl¡“ : 30 # 20 Ap NyZpL$pf L$fsu hMs¡ b¡dp„’u A¡L$ k„¿ep v$iL$“p ê$‘dp„ gMp¡.

30 # 20 A¡V$g¡ S> 30 # 2 v.

kgdp : Ap sp¡ 60 v$ ’ep, A¡V$g¡ 600 ’ep.

kp¡“y : 30 # 20 A¡V$g¡ 600 ’ep “¡ ?

V$p¡“u : 3 v$ # 2 v$ A¡V$g¡ 6 i ’ep, A¡d S> “¡ ?

bl¡“ : bfpbf. A¡V$g¡ 30 # 20 Ap NyZpL$pf L$fsu hMs¡ ‘l¡gp 3 # 2 “p¡ NyZpL$pf L$fp¡ A“¡ s¡“u

ApNm b¡ i|Þe gMp¡.

L$fu“¡ Sy>Ap¡. 40 # 20 = 800 Aph¡. 30 # 30 = 900 Aph¡.

Å¡ b„“¡ k„¿ep“p A¡L$dõ’p“¡ i|Þe lp¡e, sp¡ s¡“p¡ NyZpL$pf L$fsu hMs¡ v$iL$ õ’p““p

A„L$p¡“p¡ NyZpL$pf L$fu s¡“u ApNm b¡ i|Þe gMhp.

F NyZpL$pf L$fp¡.

D 4 # 50 = D 3 v$ # 3 v$ = D 70 # 10 =

D 6 # 20 = D 4 v$ # 2 v$ = D 20 # 20 =

NyZpL$pf

Page 71: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

62

b¡ A„L$u k„¿ep A“¡ A¡L$ A„L$u k„¿ep“p¡ NyZpL$pf : Qp¡L$X$u NyZpL$pf (g¡qV$k ‘Ùrs)

kp¡“yy : NCL$pg¡ d¢ 34 ê$r‘ep“p A¡L$ âdpZ¡ b¡ ‘yõsL$p¡ MfuÛp. L$lp¡ Å¡CA¡, d¢ L¡$V$gp„ ê$r‘ep Apàep

li¡?

kgdp : Ap dpV¡$ 34 # 2 “p¡ NyZpL$pf L$fhp¡ ‘X$i¡.

bl¡“ : Ap NyZpL$pf L$fhp dpV¡$ lº„ sd“¡ A¡L$ ey[¼s L$lº„ Ry>„. 6 “p¡ OqX$ep¡ s¥epf L$fsu hMs¡ Ap‘Z¡ 6 “p 4

A“¡ 2 A¡hp b¡ kNhX$cep® cpN L$fu“¡ OqX$ep¡ s¥epf L$ep£. s¡hu S> ey[¼s“p¡ D‘ep¡N L$fu“¡ Ap‘Z¡

Ap NyZpL$pf L$fuA¡. 34 “¡ >30 + 4 A¡d b¡ cpN L$fuA¡. s¡dp„ 30 A¡ ‘|Z® v$iL$ k„¿ep lp¡hp’u

NyZpL$pf L$fhp¡ kl¡gp¡ ’i¡.

F NyZpL$pf L$fp¡.

D 37 # 4 D 56 # 3

56 # 3 = 168

F Qp¡L$X$u NyZpL$pf“p¡ D‘ep¡N L$fu“¡ “uQ¡“p NyZpL$pf L$fp¡.

D 42 # 3 D 51 # 6

D 73 # 5 D 39 # 8

#

30(3 v$)

4(4 A¡)

2(30 # 2 )

60

(4 # 2)

8

kp¡“y : ‘l¡gp 30 A¡V$g¡ 3 v$iL$“¡ 2 hX¡$ NyÎep.

6 v$iL$ A¡V$g¡ 60 Apìep.

‘R>u 4 A¡L$d$ # 2 = 8.

lh¡ 60 A“¡ 8 “p¡ kfhpmp¡ L$ep£.

60 + 8 = 68, dpV¡$ 34 # 2 = 68.

# 30 7

4 120 28

120

148

# 50 6

3 150 18

150+ 18

168

# 40 2

3

# 50 1

6

# 70 3

5

# 30 9

8

+ 28

37 # 4 = 148

Page 72: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

63

C M Y K63

b¡ A„L$u b¡ k„¿ep“p¡ NyZpL$pf : Qp¡L$X$u NyZpL$pf ‘Ùrs

D âpZuk„N°lpge Å¡hp S>su hMs¡ v$f¡L$ bpmL$ ‘pk¡’u bk dpV¡$ 12 ê$r‘ep g¡hp“p R>¡. Ly$g 25 bpmL$p¡ S>hp“p lp¡e, sp¡ L¡$V$gp ê$r‘ep c¡Np ’i¡ ?“„vy$ : Ap dpV¡$ 25 “¡ 12 hX¡$ NyZhp“p “¡ ?bl¡“ : Ap‘Z¡ afu’u kNhX$ âdpZ¡ cpN L$fu“¡ Qp¡L$X$u NyZpL$pf“u ‘Ùrs’u NyZpL$pf L$fuA¡. 25 = 20 + 5 A“¡ 12 = 10 + 2 Aphp cpN gCA¡.

25 # 12 = 300 ê$r‘ep c¡Np ’i¡.

F NyZpL$pf L$fp¡.

D 43 # 23 D 62 # 13

43 # 23 = 62 # 13 =

D 32 # 14 D 13 # 27

32 # 14 = 13 # 27 =

F NyZpL$pf L$fp¡.

D 56 # 16 D 71 # 12 D 29 # 29

200

+ 50

+ 40

+ 10

300

# 20 5

10 200 50

2 40 10

# 60 2

10

3

# 30 2

10

4

# 10 3

20

7

# 40 3

20

3

Page 73: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

64

NyZpL$pf : Ecu dp„X$Zu

bl¡“ : Ap‘Z¡ Qp¡L$X$u NyZpL$pf (g¡qV$k ‘Ý^rs“p¡) D‘ep¡N L$fu“¡ NyZpL$pf L$fsp iu¿ep. s¡ S> Sy>v$u fus¡ L¡$d L$fhp¡ s¡ Å¡CA¡. Ap‘Z“¡ q¾$ep kdÅC NC R>¡. s¡ Sy>v$u ‘Ùrs’u gMuA¡.

F NyZpL$pf L$fp¡ : 34 # 2

‘l¡gp A¡L$dõ’p““p 4 “¡ 2 hX¡$ NyZuA¡.b¡ Qp¡L$ ApW$, dpV¡$ guV$u “uQ¡ A¡L$ddp„ 8 gMuA¡.lh¡ v$iL$ õ’p““p 3 “¡ 2 hX¡$ NyZuA¡.b¡ s¡fu R>. Ap R> v$iL$“u “uQ¡ gMuA¡ NyZpL$pf 68 Apìep¡.

V$p¡“u : kfk ! Ap sp¡ TX$‘’u ’C Nep¡.F NyZpL$pf L$fp¡.

hØuey¼s NyZpL$pf

V$p¡“u : 26 # 3 NyZpL$pf L¡$hu fus¡ L$fpe ?kgdp : NyZpL$pf“u Ecu dp„X$Zu L$fuA¡.

‘l¡gp A¡L$d“p Of“p 6 “¡ 3 hX¡$ NyZuA¡.ÓZ R>„L$ AY$pf.

bl¡“ : AY$pfdp„’u 10 A¡L$d“p¡ A¡L$ v$iL$ L$fu“¡ v$iL$“p Ofdp„ D‘f gMuA¡.A¡L$d“p Ofdp„ guV$u “uQ¡ ApW$ gMuA¡. v$iL$“p Ofdp„“p2 “¡ 3 hX¡$ NyZuA¡. ÓZ vy$ R> A“¡ “hp¡ Aph¡gp¡ A¡L$ v$iL$ dmu“¡ 7 v$iL$ ’ep. s¡ v$iL$“p Ofdp„ S>hpb“u S>ÁepA¡ gMuA¡.NyZpL$pf 78 Apìep¡. 26 # 3 = 78

v$iL$ A¡L$d$$

3 4

# 2

6 8

v$iL$ A¡L$d

4 2# 2

8 4

v$iL$ A¡L$d$$

2 4# 2

v$iL$ A¡Ld$$

2 2

# 4

v$iL$ A¡L$d

3 1# 3

hØu

v$ A¡

1

2 6 # 3

7 18

v$ A¡

2 6 # 3

Page 74: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

65

F NyZpL$pf L$fp¡ : 18 # 4

v$iL$$ A¡L$d

3

1 8# 4

7 3 2

v$iL$ A¡L$d

1 5

# 5

bl¡“ : 23 # 7 Ap NyZpL$pf L$fhp“p¡ R>¡. ‘l¡gp 3 A¡L$d“¡ 7 hX¡$ NyZuA¡. 7 s¡fu 21. s¡dp„’u 20 A¡L$d“p 2 v$iL$ s¥epf L$fu. s¡ v$iL$“p Ofdp„ D‘f gMuA¡. A¡L$d“p Ofdp„ 1 füp¡. lh¡ v$iL$“p Ofdp„ 7 vy$ 14 A“¡ hØu“p Aphi¡ 2 dmu 16 v$iL$ ’ep.

kgdp : 16 v$iL$ A¡V$g¡ 1 isL$ 6 v$iL$,A¡V$g¡ 161.Apd 23 # 7 = 161

‘l¡gp 8 A¡L$d“¡ 4 hX¡$ NyZuA¡. Qpf AÌ$p bÓuk. s¡dp„“p 30 A¡L$d“p ÓZ v$iL$ ’pe R>¡. s¡ 3 v$iL$“p Ofdp„ D‘f gMuA¡. 2 A¡L$d, A¡L$d“p S> Ofdp„ guV$u “uQ¡ gMuA¡. lh¡ v$iL$“p Of“p 1 “¡ 4 hX¡$ NyZuA¡ Qpf A¡L$p Qpf A“¡ D‘f gM¡gp ÓZ dmu“¡ kps v$iL$. Ap 7 guV$u “uQ¡ v$iL$“p Ofdp„ gMuA¡. NyZpL$pf 72 Apìep¡. 18 # 4 = 72

v$iL$$ A¡L$d$

2

2 3

# 7

i v$ A¡ 1 6 1

i v$ A¡

3 6# 4

i v$ A¡

4 0# 8

i v$ A¡

5 4# 7

i v$ A¡

9 2

# 8

F NyZpL$pf L$fp¡.

v$iL$$ A¡L$d$$

2 4

# 3

v$iL$ A¡L$d$$

2 7

# 3

v$iL$$ A¡Ld$

1 5

# 6

1 1 6 2 1

Page 75: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

66

C M Y K66

ip[åv$L$ Dv$plfZp¡

1 duV$f L$p‘X$“u qL„$ds 95 R>¡, sp¡ A¡hp 6 duV$f L$p‘X$“u qL„$ds L¡$V$gu ?

L$p‘X$“u qL„$ds ê$r‘ep

A¡L$ ‘yõsL$“u qL„$ds 85 ê$r‘ep, sp¡ s¡hp 5 ‘yõsL$“u Ly$g qL„$ds L¡$V$gu ?

85 ê$r‘ep> (v$f¡L$ ‘yõsL$“u qL„$ds)

# 5 ‘yõsL$p¡

ê$r‘ep

Ly$g qL„$ds ê$r‘ep

F “uQ¡“p Dv$plfZp¡ DL¡$gp¡.

D A¡L$ gpC“dp„ 25 bpmL$p¡ âdpZ¡ 3 gpC““p bpmL$p¡“u k„¿ep L¡$V$gu ? D 53 ê$r‘ep“p A¡L$ âdpZ¡ 6 Vy$hpg“u qL„$ds L¡$V$gu ?

D A¡L$ ‘¡V$udp„ 72 kafS>“. s¡hu 5 ‘¡V$udp„“p kafS>“ L¡$V$gp„ ?

D A¡L$ X$åbpdp„ 40 gpXy$ kdpe R>¡, sp¡ s¡hp 8 X$åbpdp„“p gpXy„$ L¡$V$gp„ ?

F NyZpL$pf“p Dv$plfZp¡ s¥epf L$fu“¡ DL¡$gp¡.

dprlsu : 8 ê$r‘ep“u 1 “p¡V$byL$, 45 “p¡V$byL$ dprlsu : A¡L$ ‘¡V$udp„ 48 v$pX$d, 7 ‘¡V$u

Dv$plfZ : 8 ê$r‘ep“u A¡L$ “p¡V$byL$ âdpZ¡ Dv$plfZ : A¡L$ ‘¡V$udp„ 48 v$pX$d sp¡ 45 “p¡V$byL$“u Ly$g qL„$ds L¡$V$gu ? 7 ‘¡V$udp„“p Ly$g v$pX$d L¡$V$gp„ ? 45 “p¡V$byL$ # 8 360

45 “p¡V$byL$“u Ly$g qL„$ds 360 ê$r‘ep 7 ‘¡V$udp„“p Ly$g v$pX$d

D A¡L$ gpC“dp„ 15 TpX$, 9 gpC“ D A¡L$ X$åbpdp„ 20 gpX$hp, 8 X$åbp

D 16 fdL$X$p„, v$f¡L$“u qL„$ds 10 `. D A¡L$ ‘yõsL$“p 36 ê$r‘ep, 7 ‘yõsL$p¡

1 $rgV$f v|$^“u qL„$ds 40 ê$r‘ep, sp¡ 3 $rgV$f v|$^“u qL„$ds L¡$V$gu ?

v|$^“u qL„$ds ê$r‘ep

3

3 4 # 9

3 0 6

Page 76: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

67

kfMp cpN L$fhp

fpSy> : dçduA¡ d“¡ 6 ‘u‘f Ap‘u R>¡.

s¡ Ap‘Z¡ b„“¡ kfMu hl¢Qu gCA¡.k„Sy> : s“¡ A¡L$, d“¡ A¡L$ A¡d cpN ‘pX$uA¡.fpSy> : d“¡ 3 ‘u‘f dmu.k„Sy>y : d“¡ ‘Z ÓZ S> ‘u‘f dmu.

A¡V$g¡ v$f¡L$“¡ ÓZ-ÓZ ‘u‘f dmu.

cpNpL$pf

Ly$g ‘u‘f v$f¡L$“u dm¡gu ‘u‘f

6 3

D Al] L¡$V$gp„L$ R>p¡L$fp, R>p¡L$fuAp¡“p rQÓ v$p¡f¡gp R>¡.

Ly$g L¡$V$gp cpN R>¡ s¡ Sy>Ap¡. NZp¡.bpSy>dp„ ‘¡ê$ v$ip®h¡gp R>¡. v$f¡L$ bpmL$“¡ kfMp cpN¡Ap‘hp“p R>¡. L¡$hu fus¡ Ap‘ip¡ ?

Ly$g ‘¡fy kydp fpSy> du“p A„Sy>

v$f¡L$“¡ L¡$V$gp ‘¡ê$ dþep ?

D A¡L$ rb[õL$V$“p ‘X$uL$pdp„ 12 rb[õL$V$ R>¡.

fpSy>, k„Sy> A“¡ Ar“sp Ap ÓZ¡e hÃQ¡ s¡“p kfMp cpN ‘pX$hp“p R>¡.

ÓZ¡e“¡ kfMp cpN¡ Ap‘uA¡, sp¡ v$f¡L$“¡ rb[õL$V$ dmi¡.

Ly$g rb[õL$V$p¡ v$f¡L$“p¡ cpN

fpSy> k„Sy> Ar“sp

Page 77: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

68

D bpSy>“p rQÓdp„ 18 bp¡f v$ip®ìep R>¡. Ap bp¡f b¡ S>Z“¡ kfMp Ap‘uA¡, sp¡ v$f¡L$“¡ L¡$V$gp dmi¡ ?

D 18 bp¡f ÓZ S>Z“¡ kfMp Ap‘uA¡, sp¡ v$f¡L$“¡ L¡$V$gp„ dmi¡ ?

D 18 bp¡f R> S>Z“¡ kfMp Ap‘uA¡, sp¡ v$f¡L$“¡ L¡$V$gp dmi¡ ?

S|>’ A’hp cpN L$fhp

dçdu : 6 L¡$fu gpìep R>¡. kyQ¡sp b¡-b¡ L¡$fu“p cpN L$f. L¡$V$gp ’pe R>¡ L$l¡.

kyQ¡sp : ÓZ cpN ’ep.

lh¡ ÓZ-ÓZ L¡$fu“p cpN

L$fu Å¡J L¡$ L¡$d ?

dçdu : S>ê$f L$fu Å¡. L¡$V$gp ’pe R>¡ ?

s¡ L$l¡.

kyQ¡sp : lh¡ b¡ S> cpN ’ep.

kyQ¡spA¡ L$f¡gp cpN “uQ¡“p L$p¡W$pdp„ v$ip®ìep R>¡.

$Ly$g L¡$fu âÐe¡L$ cpN“u L¡$fu Ly$g cpN

6 2 3

6 3 2

D rQÓdp„ cpN bsphu L$p¡W$p¡ ‘|Z® L$fp¡.

$Ly$g L¡$fu A¡L$ cpNdp„“u L¡$fu Ly$g cpN

8 2

8 4

Page 78: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

69

D rQÓdp„ cpN bsphp¡ A“¡ L$p¡W$p¡ ‘|Z® L$fp¡.

Ly$g L$pL$X$uA¡L$ cpNdp„“u

L$pL$X$uLy$g

cpN

10 1

10 2

10 5

10 10

D bl¡“ 12 bpmL$p¡“¡ fds fdpX$sp lsp„. s¡dZ¡ L$üy„, ""Qpgp¡ Ap‘Z¡ S|>’ s¥epf L$fhp“u fds fduA¡. lº„ Ap„Nmu’u k„¿ep v$ip®hy„ s¡V$gp S>Z“y„ S|>’ b“phhp“y„''.

bl¡“¡ lp’“u 4 Ap„NmuAp¡ D‘f L$fu.

L¡$V$gp S|>’ bÞep ?

bl¡“¡ lp’“u Ap„Nmu’u 3 “u r“ip“u bsphu. L¡$V$gp S|>’ ’ep ?

bl¡“¡ lp’’u r“ip“u L$fu 2 v$ip®ìep. L¡$V$gp„ S|>’ bÞep ?

bl¡“¡ b„“¡ lp’“u Ap„Nmu’u 6 k„¿ep v$ip®hu.L¡$V$gp„ S|>’ bÞep ?

D A¡L$ Mp¡Mpdp„ 6 gpX$hp kdpe R>¡, sp¡ 48 gpX$hp cfhp dpV¡$ L¡$V$gp Mp¡Mp Å¡Ci¡ ? ip¡^p¡ Å¡CA¡.

Ly$g gpX$hp A¡L$ Mp¡Mp“p„ gpX$hp Mp¡Mp“u k„¿ep

48 6 >

D A¡L$ Mp¡Mpdp„ 10 gpv$uAp¡ kdpe R>¡. Ap¡fX$pdp„ Ly$g 60 gpv$uAp¡ b¡kpX$hp“u R>¡, sp¡ gpv$u“p L¡$V$gp„ Mp¡Mp

gphhp ‘X$i¡ ?

Ly$g gpv$u A¡L$ Mp¡Mp“u gpv$u Mp¡Mp“u k„¿ep

60 10 >

Page 79: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

70

D A¡L$ duZbÑu“p Mp¡Mpdp„ 8 duZbÑu kdpe R>¡,

sp¡ 24 duZbÑu cfhp dpV¡$ L¡$V$gp Mp¡Mp Å¡CA¡ ?

kd|ldp„“u hõsy“p kfMp S|>’ L$fhp A¡V$g¡ cpNpL$pf

D A¡L$ S> k„¿ep afu afu bpv$ L$fhu.

Ap 8 aºgp¡dp„’u v$f hMs¡ 2 aŸgp¡ Ap‘Z¡ L$pY$u gCA¡.

8 aŸgp¡dp„’u ‘l¡gu hMs 2 L|$g L$pY$ép. 8 - 2 = 6. 6 aŸgp¡ füp„.

6 aŸgp¡dp„’u buÆ hMs 2 aŸgp¡ L$pY$ép.6 - 2 = 4. 4 aŸgp¡ füp„.

8 aŸgp¡dp„’u v$f¡L$ hMs¡ 2 aŸg L$pY$hp“u q¾$ep h^pf¡dp„ h^pf¡ 4 hMs L$fu i¼ep.

D “„vy$“¡ X$p¡¼V$f¡ 15 V$uL$X$uAp¡ Ap‘u. fp¡S> 3 âdpZ¡ s¡“¡ s¡ L¡$V$gp qv$hk g¡hu ‘X$i¡, s¡ D‘f

âdpZ¡ rQÓp¡ v$p¡fu “½$u L$fp¡.

4 aŸgp¡dp„’u ÓuÆ hMs 2 aŸgp¡ L$pY$ép. 4 - 2 = 2. 2 aŸgp¡ füp„.

2 aŸgp¡dp„’u Qp¡’u hMs 2 aŸgp¡ L$pY$ép. 2 - 2 = 0 aŸgp¡ bpL$u füp “’u. A¡V$g¡ i|Þe (0) aŸg füp„.

Page 80: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

71

bl¡“ : ApS>¡ lº„ ’p¡X$p Å„by gphu Ry>„. L$p¡Z L$p¡Z Apìey„ R>¡ ?

kp¡“yy : kgdp, V$p¡“u A“¡ lº„ Ad¡ ÓZ S>Z R>uA¡.

bl¡“ : Ap Å„by NZ. ÓZ¡e hÃQ¡ kfMp cpN L$fp¡.

kp¡“yy : Ap bpf Å„by R>¡. lº„ v$f¡L$“¡ A¡L$-A¡L$ âdpZ¡ ÓZ¡e“¡ kfMp Ap‘y„ Ry>„.

bl¡“ : v$f¡L$“¡ L¡$V$gp dþep ?

kp¡“y : v$f¡L$“¡ Qpf dþep.

kgdp : lº„ ’p¡X$p Sy>v$p âL$pf¡ Ap‘y„ L¡$ ?

bl¡“ : S>ê$f ! L¡$hu fus¡ Ap‘ui ?

kgdp : ÓZ S>Z“¡ Ap‘hp R>¡. dpV¡$ ÓZ-ÓZ“p S|>’ L$fy

Ry>„, ‘R>u ÓZ¡e S>ZpA¡ Ap v$f¡L$ S|>’dp„’u A¡L$

A¡L$ Å„by g¡hp“y„ !

V$p¡“u : bfpbf R>¡, v$f¡L$ S|>’dp„’u A¡L$, A¡V$g¡ v$f¡L$“¡ Qpf

Å„by !

bl¡“ : lÆ A¡L$ bpbs sdpfp Ýep“dp„ Aphu L¡$ ¡ ? kgdp

S|>’ b“phsu lsu Ðepf¡ s¡ v$f¡L$ hMs¡ ÓZ Å„by

Ap¡R>p L$fsu lsu. A¡V$g¡ bpfdp„’u hpf„hpf ÓZ

bpv$ L$fsu lsu.

kgdp : lp bl¡“ ! A“¡ Apd Qpf hMs L$ep® ‘R>u Å„by ‘|fp ’ep.

bl¡“ : lh¡ sdpfp Ýep“dp„ Apìey„ li¡, L¡$ bpf Å„by ÓZ hÃQ¡ kfMp

hl¢Qhp A’hp s¡“p ÓZ-ÓZ“p S|>’ L$fhp,

Aphp Qpf S|>’ s¥epf ’i¡. A¡V$g¡ S> s¡dp„’u v$f

hMs¡ ÓZ Å„by bpv$ L$fhp ; Ap v$f¡L$ q¾$ep“y„

‘qfZpd kfMy„ S> R>¡.

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72

V$p¡“u : lp bl¡“.

bl¡“ : dpV¡$ Ap b^u q¾$ep“¡ NrZsdp„ "cpNpL$pf' L$l¡ R>¡.

V$p¡“u : ‘Z bl¡“, rQŒ“p¡ D‘ep¡N L$fu NyZpL$pf gMhp“u ‘Ùrs Ad“¡ Mbf R>¡. s¡d rQŒ“p¡

D‘ep¡N L$fu cpNpL$pf gMhp“u ‘Ùrs ‘Z li¡ S> “¡ ?

bl¡“ :

kgdp : dpfp Ýep“dp„ Apìey„ L¡$ ÓZ Qp¡L$ bpf. A¡V$g¡ ÓZ - ÓZ hõsy“p Qpf S|>’ c¡Np L$fuA¡ sp¡

bpf hõsy ’pe R>¡. s¡“p’u DgVy„$ bpf hõsy ÓZ - ÓZ“p S|>’dp„ hl¢QuA¡, sp¡ A¡hp Qpf S|>’

s¥epf ’i¡.

bl¡“ : ipbpi ! ÓZ“y„ S|>’ L$fsu hMs¡ ÓZ“p¡ OqX$ep¡ bpf ky^u bp¡guA¡, L¡$ bpfdp„’u ÓZ“p L¡$V$gp

S|>’ b“¡ R>¡ s¡ kdÅe R>¡. s¡dS> 12 “u rhcpNZu ÓZ S>Z hÃQ¡ L$fsu hMs¡ ‘Z ÓZ“p¡ S>

OqX$ep¡ bp¡gu“¡ "ÓZ Qp¡L$ bpf' A¡V$g¡ v$f¡L$“¡ Qpf hõsy dmi¡.

F A¡L$ X$åbpdp„ 9 gpX$hp R>¡. s¡ Qpf S>Z“¡ kfMp Ap‘hp“p R>¡. v$f¡L$“¡ b¡ âdpZ¡ Qpf¡e“¡ 8 gpX$hp

Ap‘uA¡ sp¡ 1 gpX$hp¡ h^i¡, A¡V$g¡ ‘|Z® gpX$hpdp„ kdp“ cpN L$fu iL$pi¡ “rl. 1 gpX$hp¡ h^¡ R>¡.

X$åbpdp„ ApW$ S> gpX$hp lp¡s, sp¡ kfMp cpN L$fsp gpX$hp¡ h^s “rl. kdp“ cpN L$fsu hMs¡

¼epf¡L$ hõsy bpL$u fl¡ R>¡. Ap bpL$u fl¡gu hõsy“u k„¿ep A¡V$g¡ i¡j. D‘f âdpZ¡ rQÓ“p bv$g¡

k„¿ep“u dv$v$’u L$f¡gu Ecu dp„X$Zu Sy>Ap¡.

2 gpX$hp v$f¡L$“¡ dþep

4 ) 9 gpX$hp lsp

- 8 gpX$hp hl¢Qu v$u^p

1 gpX$hp¡ bpL$u füp¡

9 gpX$hp, 4 S>Zdp„ hl¢Ãep

hõsy“p kdp“ cpN L$fhp A¡V$g¡ cpNpL$pf.

hõsy“u kdp“ S|>’dp„ rhcpNZu L$fhu A¡V$g¡ cpNpL$pf.

hõsy“u k„¿epdp„’u A¡L$ S> k„¿ep afu-afu bpv$ L$fhu A¡V$g¡ ‘Z cpNpL$pf.

"cpNpL$pf' “u q¾$ep dpV¡$ "�' Ap rQŒ h‘fpe R>¡ s¡“p¡ D‘ep¡N L$fu sd¡ L$f¡gu q¾$ep

"12 � 3 = 4' A¡d gMpe R>¡. s¡ "bpf cpÁep ÓZ bfpbf Qpf' A¡d h„Qpe R>¡.

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73

D 12 aŸgp¡ 4 bpmL$p¡“¡ kfMp cpN¡ Apàep s¡ “uQ¡ âdpZ¡ v$ip®hu iL$pe.v$f¡L$“¡ 3 aŸgp¡ dm¡ R>¡.

L$pfZ 4 s¡fu 12. Ap cpNpL$pf Ecu dp„X$Zudp„ bpSy>dp„ v$ip®ìep

âdpZ¡ gMpe R>¡. 12 “¡ 4 hX¡$ cpNhp’u i¡j i|Þe Aph¡ R>¡.

D 5 bpmL$p¡ hÃQ¡ 15 gpX$hp kfMp cpN¡ hl¢Ãep. v$f¡L$“¡ 3 gpX$hp dm¡ R>¡.

L$pfZ 5 s¡fu 15.v$f¡L$“¡ dm¡gp gpX$hp 3 A¡V$g¡ cpNpL$pf.b^p gpX$hp Mgpk. bpL$u L„$C S> hÝep “rl. dpV¡$ i¡j 0

D 22 ê$r‘ep 5 S>Z hÃQ¡ hl¢Qhp R>¡.

F cpNpL$pf L$fp¡.

5 ) 22

- 20

2 i¡j

V$p¡“u : Al] 22 cpÄe A“¡ 5 cpS>L$.kgdp : Al] 5 cpS>L$, dpV¡$ 5 “p¡ OqX$ep¡ bp¡guA¡.

5 Qp¡L$ 20 A“¡ 5 ‘„Qp 25.V$p¡“u : 22 dp„’u 25 bpv$ L$fu iL$pe “rl

‘Z 22 dp„’u 20 bpv$ ’C iL$i¡.kp¡“y : dpV¡$ 5 Qp¡L$ 20 “p¡ D‘ep¡N L$fu“¡ guV$u D‘f

A¡L$d“u S>ÁepA¡ 4 gMuA¡.“„vy$ : 4 cpNpL$pfdp„ gMsu hMs¡ v$iL$õ’p“¡ gMpe “rl.

L$pfZL¡$ v$f¡L$“¡ 4 ê$r‘ep dmi¡. 4 v$iL$ A’hp 40 “rl.

4

9) 36 -

360

7) 42 8) 64 6) 54

7

8) 58 -

562

6) 49 5) 47 7) 29

3 5 ) 15

- 15

0

cpS>L$cpNpL$pf

cpÄe

i¡j

(cpÄe) Ly$g aŸgp¡

3 4) 12

- 12

0

(cpNpL$pf) v$f¡L$“p aŸg

Ap‘¡gp aŸgp¡

(i¡j) h^¡gp„ aŸg

cpS>L$

4 cpNpL$pf

cpS>L$$ 5 ) 22 cpÄe

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74

L$pgdp‘“

n OqX$epm“y„ hp„Q“

bl¡“ : L$pg¡ sd¡ OqX$epm D‘f’u kde L$C fus¡ Ap¡mMhp¡ s¡ ‘|R¹>ey„ lsy„. ApS>¡ lº„ dp¡Vy „$ OqX$epm gphu Ry>„. s¡ ‘f’u iuMuA¡.

OqX$epmpdp„“p “p“p A“¡ dp¡V$p L$p„V$p D‘f Ýep“ Ap‘p¡. b„“¡ L$p„V$p 12 D‘f lp¡e Ðepf¡ 12 hÁep lp¡e R>¡.

kgdp : “p“p¡ L$p„V$p¡ 4 D‘f A“¡ dp¡V$p¡ L$p„V$p¡ 12 D‘f lp¡e, Ðepf¡ 4 hÁep L$l¡hpe.

“„vy$ : Ap âdpZ¡ S> 5 hpN¡gp R>¡ A’hp 9 hpN¡gp R>¡ s¡ v$ip®hu iL$pi¡.

kp¡“y : “p“p¡ L$p„V$p¡ ^uf¡^uf¡, sp¡ dp¡V$p¡ L$p„V$p¡ s¡“p L$fsp„ TX$‘’u af¡ R>¡, bfpbf“¡ ?

bl¡“ : lp. “p“p¡ L$p„V$p¡ L$gpL$ v$ip®h¡ R>¡, sp¡ dp¡V$p¡ L$p„V$p¡ rdr“V$ v$ipp®h¡ R>¡ ; dpV¡$ “p“p L$p„V$p“¡ L$gpL$ L$p„V$p¡ A“¡ dp¡V$p L$p„V$p“¡ rdr“V$L$p„V$p¡ L$l¡hpe R>¡. lh¡ dp¡V$p¡ L$p„V$p¡ 1 D‘f Nep¡. 12 hpNu“¡ 5 rdr“V$ ’C.

“„vy$ : rdr“V$L$p„V$p¡ 2 D‘f S>i¡. L¡$ 12 hpNu“¡ 10 rdr“V$ ’i¡. ‘R>u rdr“V$L$p„V$p¡ 3 D‘f li¡ Ðepf¡ 12 hpNu“¡ 15 rdr“V$ ’i¡.

bl¡“ : bfpbf. v$f¡L$ b¡ ‘pk¡‘pk¡“p k„¿ep“p Of hÃQ¡ 5-5 rdr“V$“y„ S> A„sf R>¡.

kp¡“y : A¡V$g¡ rdr“V$ NZsu hMs¡ 5 “p¡ OqX$ep¡ D‘ep¡Nu ’i¡. Ap âdpZ¡ L$gpL$ L$p„V$p¡ 12 A“¡ 1 “u hÃQ¡ A“¡ rdr“V$ L$p„V$p¡ 9 D‘f lp¡e sp¡ 12 hpNu“¡ 45 rdr“V$ ’i¡, L$pfZ “h ‘„Qp ‘uõspguk.

bl¡“ :

V$p¡“u : kdÅC Ney„. L$gpL$ L$p„V$p¡ 4 A“¡ 5 “u hÃQ¡ A“¡ rdr“V$ L$p„V$p¡ 8 D‘f lp¡e Ðepf¡, "‘p„Q AÌ$p Qpguk' dpV¡$, 4 hpNu“¡ 40 rdr“V$ ’pe R>¡.

L$gpL$-rdr“V$, kde dp‘hp“p A¡L$d R>¡.

bfpbf “¡ ? L$gpL$ L$p„V$p¡ S>fp ApNm Ne¡gp¡ v$¡Mpi¡.

ipbpi ! Äepf¡ rdr“V$ L$p„V$p¡ 12 ’u iê$ L$fu, afsp¡ afsp¡ afu 12 ky^u Aph¡ R>¡, Ðepf¡ s¡“p¡, A¡L$ Ap„V$p¡ ‘|Z® ’pe R>¡. Ap dpV¡$ gpNsp¡ kde 60 rdr“V$ A¡V$g¡ S> L¡$ 1 L$gpL$ lp¡e R>¡. s¡ S> kdedp„ L$gpL$ L$p„V$p¡ 12 D‘f’u 1 D‘f Åe R>¡, s¡ kde¡ 1 hpN¡gp¡ lp¡e R>¡.

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75

- rinL$ dpV¡$ : ÅXy„$ ‘| Ìz„$ A“¡ ‘u““u dv$v$’u OqX$epm s¥epf L$fhp L$l¡hy„. s¡“p ‘f’u OqX$epmdp„kde hpQ““p¡ dlphfp¡ L$fphhp¡.

F “uQ¡“u OqX$epmpdp„ v$ip®h¡gp¡ kde L$gpL$ A“¡ rdr“V$dp„ gMp¡.

F “uQ¡ Ap‘¡gp¡ kde Sy>Ap¡. s¡ kde¡ L$p„V$p“u [õ’rs L¡$hu li¡ s¡ OqX$epmdp„ bsphp¡.

5 hpNu“¡ 10 rdr“V$ 9 hpNu“¡ 5 rdr“V$ 6 hpNu“¡ 20 rdr“V$ 11 hpNu“¡ 35 rdr“V$

F “uQ¡“u v$f¡L$ q¾$ep ‘|Z® L$fhp dpV¡$ A„v$pS>¡ L¡$V$gu rdr“V$ A’hp L¡$V$gp L$gpL$ A’hp L¡$V$gp qv$hk“p¡ kde gpN¡ R>¡, s¡ L$p¡W$pdp„ gMp¡.

Ly$L$fdp„ cps

s¥epf ’hp

Npe“y„ v|$^

v$p¡lhp

dçdu“u fkp¡C ‘pZu“p¡ lp¡S> cfhp

õh¡V$f N|„’hp Nygpb“u L$mu Mughp

F qv$hk¡ L$fhpdp„ Aphsp dy¿e L$pep£, s¡ L$pe® L$fhp gpNsp¡ kde A“¡ s¡ kde“u OqX$epm“p L$p„V$p„“u [õ’rs “uQ¡“p L$p¡W$pdp„ gMp¡.

A. ¾$. L$pe® OqX$epmdp„“p¡ kde OqX$epm“p L$p„V$p„“u [õ’rs

1. khpf¡ DW$hy„ 6 hpNu“¡ 15 rdr“V$ “p“p¡ L$p„V$p¡ 6 “u ApNm, dp¡V$p¡ L$p„V$p¡ 3 D‘f

F “uQ¡“p OqX$epm“u dprlsu d¡mhp¡.

D dp¡bpCgdp„“u OqX$epm D A¡gpd® L¡$ Qphuhpmy„ OqX$epm D gp¡gL$hpmy„ OqX$epm

D õhe„Qprgs OqX$epm D õ‘^p® kde¡ r“Zp®eL$ hp‘f¡ s¡ OqX$epm (õV$p¡‘ hpµQ)

D f¡su“y„ OqX$epm D R>pep“y„ OqX$epm

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76

n qv$“v$ri®L$p“p¡ D‘ep¡N

F Ap hj®“u qv$“v$ri®L$p Sy>Ap¡. dprlsu “uQ¡“p L$p¡W$pdp„ gMp¡.

Ap¡L$V$p¡bf drl“pdp„ Aphsp sl¡hpf

Ap¡NõV$ drl“p“u fÅ“p qv$hkp¡

X$uk¡çbf“u 5 spfuM ‘R>u “pspg L¡$V$gp qv$hk¡ Aph¡ R>¡ ?

S|>“ drl“pdp„ frhhpf¡ Aphsu spfuMp¡

kgdp : spfp¡ S>Þd L$C kpgdp„ ’ep¡ ?kp¡“y : dpfu S>ÞdspfuM 15 ÅÞeyApfu b¡ lÅf ‘p„Q.V$p¡“u : ApS>“u spfuM 15 ÅÞeyApfu 2015 R>¡, A¡V$g¡ ApS>¡ kp¡“y 10 hj®“u ’C.kgdp : dpfu S>ÞdspfuM 12 dpQ® 2006 R>¡. ApS>¡ dpfu Jdf ‘|Z® hj®dp„ 8 R>¡.V$p¡“u : A¡V$g¡ spfp¡ S>Þdqv$hk 12 dpQ® 2015 “p fp¡S> Aphi¡, s¡ qv$hk¡ sy„ 9 hj®“u ’Ci.

Jdf“u NZsfu dpV¡$ S>Þdhj®’u ApNm Qpgy hj® Aph¡ Ðep„ky^u NZhy„

qv$“v$ri®L$p

ApS> 15 ÅÞeyApfu kp¡“y“p S>Þdqv$hkdp„ S>hp“y„ R>¡,

epv$ R>¡ “¡ ?

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77

C M Y K77

F Ap‘¡gu S>ÞdspfuM dpV¡$ Ap hj®“p S>Þdqv$hk¡ ’su Jdf ‘|Z® hj®dp„ L$p¡W$pdp„ “p¢^p¡.

“pd kpqfL$p dp¡l“ Aldv$ dpM“tkl

S>ÞdspfuM 18.7.2002 14.5.2000 01.2.2003 13.7.1977

Jdf

F sdpfp Of“u ìe[¼s“u S>ÞdspfuMp¡ gMu“¡ L$p¡W$p¡ ‘|Z® L$fp¡.

ìe[¼s S>ÞdspfuM25 dp S>Þdqv$hk“u

spfuMApS>“u Jdf(‘|Z® hj®dp„)

40 dp S>Þd qv$hk“u spfuM

dçdu

‘à‘p

dp¡V$ubl¡“

dp¡V$pcpC

F ÅZu gp¡.

D L$p¡“p¡ S>Þdqv$hk v$2 Qpf hj£ Aph¡ R>¡ ? ip dpV¡$ ?

D sdpfp¡ d“‘k„v$ sl¡hpf ¼ep¡ ? s¡¡ Nep hj£ L$C spfuM¡ lsp¡ ? Ap hj£ L$C spfuM¡ R>¡ ?

D qv$“v$ri®L$p“p Sy>v$pSy>v$p âL$pf c¡Np L$fp¡.

D D»df ‘|Z® hj®dp„, drl“pdp„, qv$hkdp„ L$C fus¡ ip¡^pe ?

D Ap‘Zp¡ v$¡i 15 Ap¡NõV$ 1947 “p qv$hk¡ õhs„Ó ’ep¡. ApS>¡ Ap‘Zp v$¡i“¡ õhs„Ó“p dþe¡ L¡$V$gp hj® ‘|Z® ’ep ?

D cpfs¡ Ape®cV$ D‘N°l AhL$pidp„ R>p¡X$ép¡. Ap OV$“p“¡ 2005 dp„ 30 hj® ‘|Z® ’ep, sp¡ s¡ D‘N°l L$C kpgdp„ R>p¡X$ép¡ li¡ ?

D "dlp“ cpfsue NrZso fpdp“yS>““u S>Þdispåv$u$ 1987dp„ ’C NC' Ap hp¼e“p¡ A’® ip¡ ?

Page 87: J[UV 3.ar 39cart.ebalbharati.in/BalBooks/pdfs/305020004.pdf26 ’u 99 k„¿ep“y„ iåv$dp„ g¡M“ 26 R>ìhuk 27 kÐephuk 28 AW$éphuk 29 Ap¡NZÓuk 30 Óuk 31 A¡L$Óuk 32 bÓuk

78

A‘|Zp¯L$

A^p£

r“r^ A“¡ “„vy$“¡ c|M gpNu lsu. L$dg ‘pk¡ A¡L$ cpMfu lsu.

s¡Z¡ sfs s¡“p b¡ cpN L$fu Apàep.

r“r^ : d“¡ Ap¡R>u cpMfu dmu.

“„vy$ : kpQ¡ S> d“¡ V$p¡“u L$fsp„ dp¡V$u cpMfu dmu.

L$dg : kp¡fu l„ ! d¢ Dsphmdp„ V|$L$X$p L$ep® s¡’u Apd ’ey„.

r“r^ : dpfu ‘pk¡ A¡L$ ‘|fu R>¡. s¡“p b¡ kfMp cpN L$fu v$J Ry>„.

fpS>

kp¡“y ‘pk¡ 1 dp¡V$p¡ L$pNm R>¡. kp¡“y A“¡ kgdp Ap b„“¡“¡ rQÓ v$p¡fhp R>¡.

kp¡“y : Ap L$pNm“p b¡ kfMp cpN L$fuA¡.

V$p¡“u : lº„ b¡ kfMp cpN L$fu Ap‘y„ Ry>„.

kp¡“y A“¡ kgdp“¡ A^p£ - A^p£ L$pNm dþep¡.

L$p¡C‘Z hõsy“p b¡ kfMp cpN L$fhp’us¡“p¡ âÐe¡L$ cpN s¡ hõsy“p¡ A^p£ lp¡e R>¡.

F “uQ¡“p rQÓp¡“y„ r“funZ L$fp¡.

‘|Z® L$pNm

‘|Z® kafS>“ A^y¯ kafS>“

‘|Z® L¡$L$ A^} L¡$L$ ‘|Z® L$tgNf A^y¯ L$tgNf

A^p£ A^p£

‘|Z® ‘¡fy A^y¯ ‘¡fy

lh¡ b„“¡“¡ kfMp cpN dþep.

: v$f¡L$“¡ bfpbf A^} ‘|fu dmu.

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79

‘|Z® L$pL$X$u ‘p L$pL$X$u

F “uQ¡“u ApL©$rsdp„“p¡ A^p£ cpN f„Np¡.

F “uQ¡“u âÐe¡L$ ApL©$rsdp„ guV$u v$p¡f¡gu R>¡. s¡ guV$u“p gu^¡ S>¡ ApL©$rs“p b¡ kfMp cpN ’ep R>¡,

s¡ ApL©$rs “uQ¡ Aphu r“ip“u L$fp¡.

‘p

bl¡“ :

V$p¡“u : “„vy$ : lº„ Qpf kfMp cpN L$fy„ Ry>„.bl¡“ : ipbpi ! Ap âÐe¡L$ cpN s¡ L$pNm“p¡ ‘p cpN ’ep¡.

‘p cpN

A¡L$ hõsy“p Qpf kfMp cpN L$fhp’u s¡dp„“p¡ v$f¡L$ cpN ‘p cpN lp¡e R>¡.

F “uQ¡“p rQÓp¡“y„ r“funZ L$fp¡ A“¡ "‘p' “p¡ A’® kdÆ gp¡.

‘|Z® L¡$L$ ‘p L¡$L$

‘|Z® L$tgNf ‘p L$tgNf

kgdp, “„vy$, kp¡“y, V$p¡“u Al] Aphp¡. dpfu ‘pk¡ ‘s„N“p¡ dp¡V$p¡ L$pNm R>¡. s¡dp„’u sd¡ v$f¡L$ S>Z A¡L$-A¡L$ ‘s„N s¥epf L$fp¡.A¡V$g¡ Ap L$pNm“p Ap‘Z¡ Qpf kfMp cpN L$fhp ‘X$i¡.

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80

n ‘|Z®, A^p£ A“¡ ‘p cpN

A^p®“p¡ A^p£ L$fhp’u ‘Z ‘p cpN dm¡ R>¡.

‘|Z® cpN“p Qpf kfMp cpN L$fhp’u ‘p cpN dm¡ R>¡, s¡ Ap‘Z¡ ANpD Å¡ey„ R>¡.

b¡ ‘p c¡Np L$fhp’u A^p£ ’pe R>¡.

s¡dS> Qpf ‘p c¡Np L$fhp’u A¡L$ ‘|Z® b“¡ R>¡.

F “uQ¡“p rQÓdp„“p¡ ‘p cpN f„Np¡.

F “uQ¡“p rQÓdp„ guV$u v$p¡fu“¡ âÐe¡L$ rQÓ“p Qpf cpN L$f¡gp R>¡. s¡dp„’u kfMp cpNhpmp rQÓ “uQ ¡ 3Aphu r“ip“u L$fp¡. “ lp¡e sp¡ 5Aphu r“ip“u L$fp¡.

‘|Z® A^p£ ‘p

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81

‘p¡Zp¡

“„vy : d¢ Ap L$pNm D‘f Qpf kfMp cpN ’pe s¡hu fus¡ guV$u v$p¡f¡gu R>¡. s¡dp„’u ÓZ cpN f„N¡gp R>¡ ; A¡V$g¡ S> L¡$ L$pNm“p¡ ‘p¡Zp¡ cpN f„N¡gp¡ R>¡.

ÓZ ‘p dmu“¡ ‘Z ‘p¡Zp¡ cpN b“¡, ‘|Z® hõsydp„’u cpN Ap¡R>p¡ L$fhp’u ‘Z ‘p¡Zp¡ cpN dm¡ R>¡.

F “uQ¡“u ApL©$rs“p ‘p¡Zp cpN“¡ f„Np¡.

s¡“u “uQ¡“p Qp¡fkdp„ gMp¡.

ApL©$rs

f„N¡gp¡ cpN A^p£

“ f„N¡gp¡ cpN

A¡L$ ‘|Z® hõsy“p Qpf kfMp cpN L$fu“¡ s¡dp„’u ÓZ cpN gCA¡ sp¡ s¡ ‘p¡Zp¡ cpN lp¡e R>¡.

A^y¯ ‘¡fy$ ‘p ‘¡fy A^y¯ A“¡ ‘p dmu“¡ ‘p¡Ï„ b“ ¡

F “uQ¡“u ApL©$rsAp¡“p f„N¡gp cpN A“¡ “ f„N¡gp cpN ‘p, A^p£, ‘p¡Zpdp„’u L¡$V$gp¡ R>¡, s¡

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82

C M Y K82

kd|l“p ‘p, A^p®, ‘p¡Zp

rQÓdp„ ApW$ v$X$p“p¡ A¡L$ kd|l v$ip®h¡gp¡ R>¡. ApW$ v$X$p“p kd|l“p b¡ kfMp cpN L$ep®.

v$f¡L$ cpN Ap ApW$ v$X$p“p kd|l“p¡ A^p£ cpN R>¡. v$f¡L$ A^p® cpNdp„ Qpf v$X$p R>¡.

Ap rQÓdp„ ApW$ v$X$p“p A¡L$ kd|l“p Qpf kfMp cpN L$f¡gp R>¡. v$f¡L$ cpN s¡ kd|l“p¡ ‘p cpN R>¡. v$f¡L$ ‘p cpNdp„ b¡ v$X$p R>¡. kd|l“p A^p® cpN“p¡ A^p£ cpN L$fuA¡ sp¡, dm“pfp¡ cpN L¡$V$gp¡ li¡ ?

A^p£ A“¡ ‘p dmu“¡ ‘p¡Zp¡ A“¡ R>¡ , dpV¡$ A¡L$ kd|l“p A^p£ A“¡ ‘p cpN dmu“¡ s¡ kd|l“p¡ ‘p¡Zp¡ cpN ’pe R>¡.

rQÓdp„ ApW$ v$X$p“p A¡L$ kd|l“p¡ ‘p¡Zp¡ cpN v$ip®h¡gp¡ R>¡. A¡L$ ‘|Z® kd|ldp„’u ‘p cpN Ap¡R>p¡ L$fhp’u ‘Z ‘p¡Zp¡ cpN dm¡ R>¡.

A¡L$ kd|l“p ÓZ ‘p cpN c¡Np L$fuA¡, sp¡ dm“pfp¡ cpN L¡$V$gp¡ li¡ ?

F “uQ¡“p kd|l“p¡ A^p£ cpN L$fp¡. (guV$u v$p¡fu“¡) F “uQ¡“p kd|l“p¡ ‘p¡Zp¡ cpN f„Np¡. (guV$u v$p¡fu“¡)

F “uQ¡“p kd|l“p¡ A^p£ cpN bsphp¡. F “uQ¡“p kd|l“p¡ ‘p cpN bsphp¡. bpL$u“p¡ cpN f„Np¡ A“¡ s¡ kd|l“p¡ L¡$V$gpdp¡ cpN R>¡ s¡ L$lp¡.

l lll l l l l

l l l ll

l

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83

C M Y K83

‘p,A^p£, ‘p¡Zp¡ - ìehlpfdp„ D‘ep¡N

F “uQ¡“p Dv$plfZp¡“p¡ Aæepk L$fp¡.

D ipmp“p d¡v$p““u g„bpC 20 duV$f R>¡. d¡v$p““u A^} g„bpC 20 duV$f“u ‘p A¡V$g¡ 5

duV$f A“¡ d¡v$p““u ‘p¡Zu g„bpC A¡V$g¡ 15 duV$f ’i¡.

D A¡L$ L$gpL$“u 60 rdr“V$ lp¡e R>¡. A^p® L$gpL$“u 30 rdr“V$ lp¡e R>¡.

D 4 rgV$f“p¡ ‘p cpN 1 rgV$f lp¡e R>¡.

D ÆhfpS> ‘pk¡ 200 ê$r‘ep R>¡. s¡dp„“u ‘p¡Zu fL$d s¡Z¡ du“p“¡ Ap‘u, A¡V$g¡ ÆhfpS>¡

du“p“¡ 150 ê$r‘ep Apàep.

D A¡L$ X$T“ L¡$mp„ A¡V$g¡ 12 L¡$mp„, A^p£ X$T“ L¡$mp„ A¡V$g¡ 6 L¡$mp„. ‘p¡Zp¡ X$T“ L¡$mp A¡V$g¡

9 L¡$mp„.

F “uQ¡“p Dv$plfZp¡ DL¡$gp¡.

D Ap“„v$“u ApS>“u Jdf 8 hj® R>¡. îysu“u Jdf Ap“„v$“u Jdf L$fsp„ A^} R>¡. sp¡ îysu“u

Jdf L¡$V$gu ?

D kp¡“pgu ‘pk¡ 10 duV$f L$p‘X$ R>¡. s¡dp„’u s¡Z¡ A^y¯ L$p‘X$ fpdy“¡ Apàey„, sp¡ kp¡“pgu ‘pk¡

L¡$V$gy„ L$p‘X$ füy„ ? s¡Z¡ fpdy“¡ L¡$V$gp duV$f L$p‘X$ Apàey„ ?

D A“Op ‘pk¡ 100 ê$r‘ep R>¡. s¡dp„“u ‘p cpN“u fL$d s¡Z¡ cpC“¡ Ap‘u, sp¡ cpC“¡ s¡Z¡

L¡$V$gu fL$d Ap‘u ?

D A¡L$ v$p¡fu“u g„bpC 16 duV$f R>¡. v$p¡fu“p¡ ‘p¡Zp¡ cpN L$p‘hp“p¡ R>¡. sp¡ L¡$V$gp duV$f D‘f

r“ip“u L$fhu ‘X$i¡ ?

D kp¡gp‘yf’u “p„v$¡X$ S>hp 6 L$gpL$ gpN¡ R>¡. s¡“p’u A^p£ kde kp¡gp‘yf’u gpsyf S>hp gpN¡

R>¡, sp¡ kp¡gp‘yf’u gpsyf S>hp L¡$V$gp¡ kde gpN¡ R>¡ ?

F L¡$V$gp„ s¡ L$lp¡.

D 24 duV$f L$p‘X$dp„’u A^y¯ L$p‘X$.

D 80 ê$r‘ep“p¡ ‘p cpN.

D 40 qL$gp¡N°pd kpL$f“p¡ ‘p¡Zp¡ cpN.

D 12 guV$f L¡$fp¡ku““p¡ ‘p cpN.

D 4 L$gpL$ 40 rdr“V$ kde“p¡ A^p£ kde.

D 60 ê$$r‘ep“p¡ ‘p¡Zp¡ cpN.

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84

dprlsu“y„ ìehõ’p‘“

s¡Z¡ kp¡“y“¡ ‘|R¹>ey„ -

D L$p¡Z L$p¡Z Apìey„ lsy„ ? rdÓp¡ L¡$V$gp ? kMuAp¡ L¡$V$gu ?

D c¡V$ L$C L$C dmu ? L¡$V$gu dmu ?

D Aph¡gp rdÓp¡“p “pd kp¡“yA¡ L$üp„.

V$p¡“u : Qpg ! Ap‘Z¡ ‘l¡gp c¡V$ Å¡CA¡ A“¡ “„vy$“p âñp¡“p S>hpb ‘R>u Ap‘uA¡.

V$p¡“uA¡ hõsy“p S|>’ L$ep®. $

kgdpA¡ ‘yõsL$p¡ NÎep„.

kp¡“yA¡ ‘¡“p¡ NZu.

V$p¡“uA¡ ‘¡[Þkgp¡ NZu.

“„vy$A¡ ‘pV$u D‘f Ap dprlsu gMu.

kp¡“y : A¡V$g¡ L¡$ d“¡ Ly$g 30 hõsy dmu.

V$p¡“u : Ap sp¡ L$p¡W$p¡ s¥epf ’ep¡ !

F buÅ qv$hk¡ hN®dp„ Apìep ‘R>u “„vy$A¡ R>p¡L$fp-R>p¡L$fuAp¡“¡ ‘|R¹>ey„, ""sd¡ ipmpdp„ L¡$hu fus¡ Aphp¡ R>p¡ ?''

kp¡“yA¡ b^p“p S>hpb “uQ¡ âdpZ¡ gMu gu^p.

fp¡rls - bk, rhS>e - funp, dpep - bk, Np¡‘pg - ‘N¡ Qpgu“¡, f¡Mp - funp, L©$óZp - kpeL$g,

Apcp - L$pf, de„L$ - ‘N¡ Qpgu“¡, fpµS>f - ‘N¡ Qpgu“¡, apê$M - funp, Aldv$ - bk, õhfp - L$pf,

fpd“p’ - ‘N¡ Qpgu“¡, A¡g“ - ‘N¡ Qpgu“¡, rhL$pk - funp, A¢’“u - funp, kpfp - bk,

ksui - kpeL$g, ApëbV®$ - bk, fpdõhpdu - ‘N¡ Qpgu“¡, “usp - bk, AgL$p - bk, “pN¡i -

kpeL$g, L¥$gpk - kpeL$g, kpr“L$p - kpeL$g, [õdsp - bk, “„vy$ - funp, kp¡“y - funp, Å¡“ - bk,

kfbÆs - bk.

“„vy$A¡ s¼sp¡ s¥epf L$fu“¡ s¡ S> dprlsu “uQ¡ âdpZ¡ v$ip®hu.

bk’u Aphspfp¡rls, dpep, [õdsp, Aldv$, Å¡“, kfbÆs, kpfp, ApëbV®$, “usp,

AgL$p10

funp’u Aphsp rhS>e, f¡Mp, kp¡“y, “„vy$, apfyM, rhL$pk, A¢’“u 7

‘N¡ Qpgu“¡ Aphsp Np¡‘pg, fpdõhpdu, de„L,$ fpµS>f, fpd“p’, A¡g“ 6

kpeL$g ‘f Aphsp L©$óZp, kpr“L$p, ksui, “pN¡i, L¥$gpk 5

L$pf’u Aphsp Apcp, õhfp 2

‘¡[Þkgp¡ 17

‘¡“p¡ 4

‘yõsL$p¡ 9

Ly$g hõsyAp¡ 30

k„¿epc¡V

kp¡“y“p¡ S>Þdqv$hk ’C Nep¡. s¡“p rdÓp¡ S>Þdqv$hkdp„ Apìep lsp„. b^pA¡ s¡“¡ iyc¡ÃR>p Ap‘u. A“¡

c¡V$ ‘Z Ap‘u. “„vy$ S>Þdqv$hkdp„ Apìep¡ “lp¡sp¡.

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85

F Nyfyhpf¡ NZh¡idp„ Aphhy„ S>ê$fu “lp¡sy„. bpmL$p¡ f„Nu“ L$‘X$p„ ‘l¡fu ipmpdp„ Apìep lsp„. A¡g“¡ s¡“p

‘f’u A¡L$ L$p¡W$p¡ b“pìep¡. kgdpA¡ k|Qìey„ L¡$, bpmL$“p “pdp¡ gMhp“¡ bv$g¡ âÐe¡L$ bpmL$ dpV¡$ A¡L$

Ecu guV$u L$fuA¡.

A¡g“¡ s¥epf L$f¡gp¡ L$p¡W$p¡ kgdpA¡ s¥epf L$f¡gp¡ L$p¡W$p¡

V$p¡“u : dpfp L$‘X$p„ gpg R>¡. dpV¡$ lº„ ‘l¡gp S|>’dp„.

kgdp : ‘Z r“ip“u A“¡ bpmL$“u k„¿ep kfMu R>¡ L¡$ ? L¡$hu fus¡ ÅZuiy„ ?

kp¡“y : gpg L$‘X$p„ ‘l¡f¡gp bpmL$p¡ Qpf A“¡ r“ip“u ‘Z Qpf, A¡V$g¡ Ap‘Z¡ spmp¡ d¡mhu iL$uA¡ R>uA¡.

Ap r“ip“u“¡ spmp“u r“ip“u L$l¡hpe R>¡.

F dµfu s¡“p bNuQp“p aŸgTpX$“u dprlsu v$ip®hsp¡ rQÓ“p¡ L$p¡W$p¡ “uQ¡ dyS>b s¥epf L$fu“¡ gphu.

Nygpb

Åk|v$

dp¡Nfp¡

Q„‘p¡

L$‘X$p“p¡ f„N rhÛp’}“p “pd rhÛp’} k„¿ep

gpg ........ 4

gugp¡ ........ 2

‘ump¡ ........ 7

c|fp¡ ........ 10

L$‘X$p„“p¡ f„N guV$u rhÛp’} k„¿ep

gpg 4

gugp¡ 2

‘ump¡ 7

c|fp¡ 10

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86

kp¡“y : spfu rQÓL$mp M|b kfk R>¡. s¡’u L$p¡W$p¡ ky„v$f v$¡Mpe R>¡.

V$p¡“u : ‘Z Ad“¡ kfk rQÓp¡ v$p¡fsp AphX$sy„ “’u. s¡dp„ kde ‘Z M|b gpN¡ R>¡. s¡’u aŸgp¡“¡ bv$g¡

spmp“u r“ip“u L$fuA¡ sp¡ h^pf¡ S>ëv$u ’i¡. spmp“u r“ip“u L$fu“¡ “uQ¡“p¡ L$p¡W$p¡ ‘|Z® L$fp¡.

F fuV$pA¡ s¡“p rdÓp¡“¡ kp¥’u h^y cphsp„ Nþep ‘v$p’® bpbs ‘|R¹>ey„ A“¡ s¼spdp„ spmp“u r“ip“u L$fu.

s¡ NZu“¡ k„¿ep gMp¡. “uQ¡“p âñp¡“p S>hpb gMp¡.

Nþep¡ ‘v$p’® spmp“u r“ip“u bpmL$p¡“u k„¿ep

S>g¡bu

gpX$hp

Nygpb Å„by

AÞe Nþep ‘v$p’®

D L$ep¡ ‘v$p’® kp¥’u h^pf¡ bpmL$p¡“¡ cph¡ R>¡ ?

D gpX$hp cphsp bpmL$p¡“u k„¿ep S>g¡bu cphsp bpmL$p¡“u k„¿ep L$fsp„ L¡$V$gu h^pf¡ R>¡ ?

F “uQ¡“u dprlsu c¡Nu L$fp¡. rQÓp¡ A’hp r“ip“u“p¡ D‘ep¡N L$fu“¡ dprlsu“p L$p¡W$p s¥epf L$fp¡.

D hN®“p bpmL$p¡“p S>Þdqv$hk L$ep L$ep drl“pdp„ Aph¡ R>¡ ? s¡ dprlsu c¡Nu L$fp¡.

D fkp¡X$pdp„“u hõsy A“¡ s¡“u k„¿ep

(v$p. s, hpV$L$u, àepgp, ’pmu, gp¡V$p, L$‘, fL$pbu, QdQp hN¡f¡)

D hN®“p rhÛp’}Ap¡“¡ L$ey„ ‘pgsy„ âpZu kp¥’u h^pf¡ Nd¡ R>¡ ?

aŸgTpX$“p “pd spmp“u r“ip“u L$yg TpX$

Nygpb

Åk|v$

dp¡Nfp¡

Q„‘p¡

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87

F “uQ¡“p¡ s¼sp¡ Å¡C“¡ âñp¡“p S>hpb gMp¡.

M¡sf“p ‘pL$ ‘pL$ DNpX$“pfp M¡X|$sp¡

OJ

Sy>hpf

Qp¡Mp

hV$pZp

dNamu

i¡fX$u

D Ly$g L¡$V$gp ‘pL$“u dprlsu Ap‘¡gu R>¡ ?

D dNamu“p¡ ‘pL$ DNpX$“pf M¡X|$sp¡ L¡$V$gp„ ?

D L$ep¡ ‘pL$ kp¥’u Ap¡R>p M¡X|$sp¡ ‘pk¡’u dm¡ R>¡ ?

D L$ep¡ ‘pL$ kp¥’u h^pf¡ M¡X|$sp¡ ‘pk¡’u dm¡ R>¡ ?F frhhpf“u kp„S>¡ d“p¡f„S>“ dpV¡$ iy„ L$ey¯ ? Ap âñ“p bpmL$p¡A¡ Ap‘¡gp S>hpb D‘f’u s¥epf L$f¡gp¡ s¼sp¡ Sy>Ap¡.

d“p¡f„S>““p¡ âL$pf spmp“u r“ip“u bpmL$p¡“u k„¿ep

fds fçep

V$uhu (v|$fv$i®“) Å¡ey„

bNuQpdp„ V$l¡ghp Nep

hpsp®“y„ ‘yõsL$ hp„Ãey„

D Ly$g L¡$V$gp bpmL$p¡“u dprlsu Ap‘¡gu R>¡ ?

D bNuQpdp„ V$l¡ghp S>“pfp bpmL$p¡ L¡$V$gp„ ?

D L$C bpbs dpV¡$ bpmL$p¡“u k„¿ep kp¥’u Ap¡R>u R>¡ ?

F bpmL$p¡“¡ kp¥’u h^pf¡ cphsp amp¡“p¡ dprlsu c¡Nu L$fp¡ A“¡ s¼sp¡ s¥epf L$fp¡.

cphsp am spmp“u r“ip“u bpmL$p¡“u k„¿ep

L¡$fu

‘¡fy

kafS>“

v$pX$d

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88

Ap s¼sp D‘f’u Sy>v$uSy>v$u L$C dprlsu dm¡ R>¡ s¡ gMp¡.

D L$ey„ am kp¥’u h^pf¡ S>Z“¡ cph¡ R>¡?

D ‘¡fy cph“pfp“u k„¿ep ........... cph“pfp“u k„¿ep L$fsp h^pf¡ R>¡.

F “uQ¡“p âñp¡“p S>hpb ip¡^u“¡ dprlsu“p¡ s¼sp¡ s¥epf L$fp¡.

D ipmp R|>V$su hMs¡ ipmp“p v$fhpS>¡’u sd“¡ Of¡ gC S>hp dpV¡$ L¡$V$gp b¡ ‘¥X$p„hpmp, ÓZ ‘¥X$p„hpmp

A“¡ Qpf ‘¥X$p„hpmp hpl“p¡ Ecp lp¡e R>¡ ?

D ipmpdp„ L¡$V$gu gpL$X$p“u, gp¡M„X$“u A’hp àgp[õV$L$“u MyfiuAp¡ R>¡ ?

D hN®dp„“p bpmL$p¡“p v$asf“p f„N ¼ep ¼ep R>¡ ?

D hN®“p bpmL$p¡“p Ofdp„ fkp¡C dpV¡$ Nµk, L¡$fp¡ku“ A’hp gpL$X$pdp„’u i¡“p¡ D‘ep¡N ’pe R>¡ ?

D sdpfp Npd“p v$k M¡X|$sp¡ ‘pk¡ S>C“¡ v$f¡L$ ‘pk¡ L¡$V$gp„ ‘pgsy„ âpZu R>¡, s¡“u dprlsu c¡Nu L$fp¡.

- rinL$ dpV¡$ : rhrh^ âk„Np¡“u dprlsu c¡Nu L$fhp“y„ L$lu“¡ s¡“p s¼sp s¥epf L$fphhp. spmpAp¡“u r“ip“u A’hp rQÓp¡“p¡ D‘ep¡N L$fhp¡. Aphp s¼spAp¡“p Ap^pf¡ NyZpÐdL$ A“¡ k„¿epÐdL$ õhê$‘“p âñp¡ ‘|R>hp.

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39.00 J[UV 3.ar