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OÊfi¡⁄◊⁄ —⁄¡⁄O¤¡⁄ ÃO–y B≈¤SÊ ∫¤V- 1 PART - 1 }¡V~ IV ¡¤d¿ ÃO–y —Ê ‡fi®´Ê »fl}° }¡Ê fi~ —…fl~ (SCERT) OÊ fi¡⁄ ◊⁄ 2015 V⁄{}⁄ MATHEMATICS STANDARD IV

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Page 1: V⁄{}⁄ · Karivellur, Kannur Thulasidharan Pilla K.G Govt. U.P.S Charipparamba, Kollam Experts Dr. Radhakrishnan Chettiyar Rtd. Prof. University College Thiruvananthapuram

OÊfi¡⁄◊⁄ —⁄¡⁄O¤¡⁄ÃO⁄–y B≈¤SÊ

∫¤V⁄ - 1PART - 1

}⁄¡⁄V⁄~ IV

¡¤d¿ ÃO⁄–y —⁄MÀʇfi®⁄ Ê »⁄fl}⁄fl° }⁄¡⁄∑Êfi~ —⁄…fl~ (SCERT) OÊfi¡⁄◊⁄2015

V⁄{}⁄MATHEMATICS

STANDARD IV

Page 2: V⁄{}⁄ · Karivellur, Kannur Thulasidharan Pilla K.G Govt. U.P.S Charipparamba, Kollam Experts Dr. Radhakrishnan Chettiyar Rtd. Prof. University College Thiruvananthapuram

¡¤Œ⁄oÒWfi}Ê

d ⁄V⁄y »⁄fl ⁄ @©´¤æ⁄flO⁄ dæ⁄fl‘Êfi∫¤¡⁄}⁄ ∫¤V⁄¿ …®¤}¤,

Æ⁄Me¤∂ “M®⁄fl V⁄fld¡¤}⁄ »⁄fl¡¤p¤•¤√…s⁄ D}⁄Qƒ »⁄MV¤,

…M®⁄¥¿ ’»⁄·¤ ⁄ƒ æ⁄fl»⁄flfl´¤ V⁄MV¤D ⁄cƒ dƒ©}⁄¡⁄MV¤,}⁄»⁄À⁄fl∫⁄ ´¤»Êflfi e¤VÊfi,}⁄»⁄À⁄fl∫⁄ AÃŒ⁄ »⁄·¤VÊfi,V¤‘Êfi }⁄»⁄ dæ⁄fl V¤¢¤,

d ⁄V⁄y »⁄flMV⁄ƒ•¤æ⁄flO⁄ dæ⁄fl‘Êfi∫¤¡⁄}⁄ ∫¤V⁄¿ …®¤}¤,

dæ⁄fl‘Êfi, dæ⁄fl‘Êfi, dæ⁄fl‘Êfi,dæ⁄fl dæ⁄fl dæ⁄fl dæ⁄fl‘Êfi!

Æ⁄√~eÊk

∫¤¡⁄}⁄»⁄‚¥ ⁄ ⁄≠ •ÊfiÀ⁄, ∫¤¡⁄~fiæ⁄fl¡Êƒ«¡⁄‡ ⁄ ⁄≠ —⁄‘ʇfi•⁄¡⁄—⁄‘ʇfi•⁄¬æ⁄fl¡⁄fl.

´¤ ⁄fl ⁄ ⁄≠ •ÊfiÀ⁄»⁄ ⁄fl≠ Ø√fi~—⁄fl}Ê°fi Ê. @•⁄¡⁄ —⁄MÆ⁄ ⁄≠ ‘¤V⁄‡»ÊÁ…®⁄¥¿Æ⁄„y% Æ⁄¡⁄MÆ⁄¡ÊVÊ ¤ ⁄fl ‘Ê»ÊflΩ Æ⁄s⁄fl}Ê°fi Ê.

´¤´⁄fl ´⁄´⁄≠ }⁄M•Ê }¤øfl »⁄fl}⁄fl° V⁄fl¡⁄fl’¬æ⁄fl¡⁄´⁄fl≠VË¡⁄…—⁄fl}Ê°fi Ê.

´¤ ⁄fl ⁄ ⁄≠ •ÊfiÀ⁄•⁄ »⁄fl}⁄fl° d ⁄}Êæ⁄fl OÊ–fi»⁄fl ‘¤V⁄‡—⁄»⁄fl‰¶™V¤W —⁄•¤ Æ⁄√æ⁄fl~≠—⁄fl}Ê°fi Ê.

Prepared by :State Council of Educational Research and Training (SCERT)

Poojappura, Thiruvananthapuram 695 012, Kerala

Website : www.scertkerala.gov.inE-mail : [email protected]

Phone : 0471-2341883, Fax : 0471-2341869Typesetting and Layout : SCERT

Printed at : KBPS, Kakkanad, Kochi-30© Department of Education, Government of Kerala

Page 3: V⁄{}⁄ · Karivellur, Kannur Thulasidharan Pilla K.G Govt. U.P.S Charipparamba, Kollam Experts Dr. Radhakrishnan Chettiyar Rtd. Prof. University College Thiruvananthapuram

s¤. G—È. ¡⁄…fiM•⁄√´È ´¤æ⁄fl¡È¨•Ê%fiÀ⁄O⁄¡⁄fl

G—È.“.B.A¡È.n

Ø√fi~æ⁄fl »⁄flO⁄Q◊Êfi,

V⁄{}⁄•⁄ »⁄fl‡ƒ∫⁄‡}⁄ ~◊⁄fl»⁄ÿOÊV⁄◊⁄Δ« ‘⁄ƒ»⁄ ⁄fl≠ ´¤»⁄‚¥

V⁄ÿ“¡⁄fl»Ê»⁄‚¥. B ⁄‡≠ @ ÊfiO⁄ …^¤¡⁄V⁄◊⁄ ⁄fl≠ ~ÿæ⁄flΔPQ•Ê. As⁄fl}¤°,

´⁄Δæ⁄flfl}¤°, V⁄MƤW —Êfi¡⁄fl}¤°, ≈ÊO¤Q^¤¡⁄V⁄◊⁄´⁄fl≠ »⁄·¤s⁄fl}¤°,

—⁄»⁄fl—Ê¿V⁄◊⁄ ⁄fl≠ Æ⁄¬‘⁄¬—⁄fl}¤° V⁄{}⁄»⁄ ⁄fl≠ O⁄Δæʇfiy.

A≈ʇfi_“, —⁄MÀʇfi®⁄ Ê »⁄·¤t, O⁄Ms⁄fl’t•⁄fl »⁄flflM•⁄OÊQ

—¤V⁄fl»¤.

Page 4: V⁄{}⁄ · Karivellur, Kannur Thulasidharan Pilla K.G Govt. U.P.S Charipparamba, Kollam Experts Dr. Radhakrishnan Chettiyar Rtd. Prof. University College Thiruvananthapuram

Suresh C.G.M.L.P.S. CherumukKozhikodeAshraf C.V.Vanimel M.U.P.SNadapuram, VadagaraSasidharan V.P.BRC IrrittiPrashanth K.P.Devadhar U.P.SNediyirupp, Malappuram

Manikantan K.O.V.Pattiyamma A.U.P.SKarivellur, Kannur

Thulasidharan Pilla K.GGovt. U.P.S Charipparamba, Kollam

ExpertsDr. Radhakrishnan ChettiyarRtd. Prof. University CollegeThiruvananthapuramDr. E. KrishnanRtd. Prof. University CollegeThiruvananthapuramDr. Ramesh KumarAsst. Prof. Kerala UniversityKaryavattam ThiruvananthapuramC.VenugopalAsst. Prof. College of Teacher EducationThiruvananthapuram

Shajahan V.G.M.U.P.S. MelmuriMalappuramJabir K.G.H.S. AdoorKasaragodMuhammed NazarG.H.S. KodvayurPalakkadUnnikrishnan V.T.Ponnani Girls H.S.SMalappuram

ArtistHarikumar

CoverRakesh P. Nair

Academic Co-ordinatorSujith Kumar G., Research Officer, SCERT, Thiruvananthapuram.

Kannada VersionPrapullachandra C.H.HSA, GHSS Adoor.

Ananthakrishna M.HM GJBS Peral.

Yoosuf K.Trainer, BRC, Kumbla

Sudhama K.PD Teacher, GHSS Adoor

ExpertsDr. Srikrishna BhatRtd. Professor, Govt. College, Kasaragod.

¡¤d¿ ÃO⁄–y —⁄MÀʇfi®⁄ Ê »⁄fl}⁄fl° }⁄¡⁄∑Êfi~ —⁄…fl~ (SCERT)…•¤¿∫⁄»⁄ ⁄, Æ⁄„dÆ⁄‚ ∞¡⁄, ~¡⁄fl»⁄ ⁄M}⁄Æ⁄‚¥¡⁄ - 695 012

TEXT BOOK DEVELOPMENTTEAM PARTICIPANTS

Co-ordinatorDr. Faisal Mavulladathil, Research Officer, SCERT, Thiruvananthapuram.

Page 5: V⁄{}⁄ · Karivellur, Kannur Thulasidharan Pilla K.G Govt. U.P.S Charipparamba, Kollam Experts Dr. Radhakrishnan Chettiyar Rtd. Prof. University College Thiruvananthapuram

´¤ƒQMOÊ —⁄MSÊ¿V⁄◊ʇM¶VÊ ...............................7 - 24

—⁄»⁄flæ⁄fl ⁄O⁄√ .............................................. 25 - 40

—¤…¡⁄V⁄◊⁄fl —Êfi¡⁄fl»¤V⁄ .................................. 41 - 54

‘Ê ⁄fl` »⁄fl}⁄fl° O⁄t»Êfl ..................................... 55 - 64

AO⁄‰~V⁄◊⁄ ⁄fl≠ ¡⁄_—ʇfiy ............................... 65 - 78

1

2

3

4

5

@´⁄flO⁄√»⁄fl{OÊ

Page 6: V⁄{}⁄ · Karivellur, Kannur Thulasidharan Pilla K.G Govt. U.P.S Charipparamba, Kollam Experts Dr. Radhakrishnan Chettiyar Rtd. Prof. University College Thiruvananthapuram

C Æ⁄‚¥—⁄°O⁄•⁄Δ« @ ⁄flO⁄‡ƒO¤QW Oʃ»⁄‚¥—⁄MOÊfi}⁄V⁄◊⁄ ⁄fl≠ DÆ⁄æʇfiW—⁄≈¤W•Ê

‘Ê_` ⁄ ⁄lfl»⁄nOÊ/ »⁄flflM•⁄fl»⁄¬•⁄^⁄lfl»⁄nOÊ

´¤ ⁄fl O⁄Ms⁄flOʇMs⁄ …®¤ ⁄

—⁄‘⁄ƤqV⁄◊⁄fl O⁄Ms⁄flOʇMs⁄ …®¤ ⁄

»⁄·Ëƒ¿¨y%æ⁄fl

I.“.n. —¤®⁄¥¿}ÊV⁄◊⁄fl

ÆÊ„√fieÊOÈo

Page 7: V⁄{}⁄ · Karivellur, Kannur Thulasidharan Pilla K.G Govt. U.P.S Charipparamba, Kollam Experts Dr. Radhakrishnan Chettiyar Rtd. Prof. University College Thiruvananthapuram

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@Ƥ∞ ⁄ ⁄VÊ ‘ʇ—⁄∑ÊfiVÈ O⁄‡s¤ ∑ÊfiO⁄fl

∑Êfi“VÊ ¡⁄eÊ »⁄flflW•⁄fl À¤≈Ê Æ⁄‚¥ ⁄¡¤¡⁄M∫⁄»¤V⁄ƒfl —⁄»⁄flæ⁄fl»¤øfl}⁄fl. ¬fi ⁄ »⁄fl}⁄fl° }⁄M•Ê —¤»⁄flW√V⁄◊⁄ ⁄fl≠R¬fi¶—⁄ƒfl À¤≈¤ ∂e¤¡ÈVÊ }⁄ƒflØ•⁄¡⁄fl.

À¤≈Êæ⁄fl O⁄sÊVÊ

250 ¡⁄‡Æ¤øfl ∑Ê≈Êøfl¡⁄fl»⁄ JM•⁄fl OʇsÊæ⁄fl´⁄‡≠ 10 ¡⁄‡Æ¤øflæ⁄flM}Ê∑Ê≈Êøfl¡⁄fl»⁄ 5 ʇfilfl Æ⁄‚¥—⁄°O⁄V⁄◊⁄ ⁄‡≠ 700 ¡⁄‡Æ¤øfl ∑Ê≈Êøfl¡⁄fl»⁄ Ds⁄flÆ⁄ ⁄‡≠R¬fi¶“•⁄¡⁄fl.

Jlflo GŒ⁄flo ‘⁄y»¤øfl}⁄fl?

}⁄M•Êæ⁄fl OÊÁæ⁄flΔ«¡⁄fl»⁄‚¥•Ê≈¤« 100 ¡⁄‡Æ¤øflæ⁄fl ʇfilflV⁄◊¤•⁄¡Ê

GŒ⁄flo ʇfilflV⁄◊⁄ ⁄fl≠ Oʇs⁄∑ÊfiO⁄fl?

À¤≈¤ ∂e¤¡È

Page 8: V⁄{}⁄ · Karivellur, Kannur Thulasidharan Pilla K.G Govt. U.P.S Charipparamba, Kollam Experts Dr. Radhakrishnan Chettiyar Rtd. Prof. University College Thiruvananthapuram

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500 ¡⁄‡Æ¤øflæ⁄fl ʇfilflV⁄◊¤•⁄¡Ê GŒ⁄flo ʇfilflV⁄◊⁄ ⁄fl≠ Oʇs⁄∑ÊfiO⁄fl?

1000 ¡⁄‡Æ¤øflæ⁄fl ʇfilflV⁄◊⁄fl »⁄·¤}⁄√ OÊÁæ⁄flΔ«¡⁄fl»⁄‚¥•¤•⁄¡Ê‡fi?

? ¬fi´⁄ÿVÊ 500 ¡⁄‡Æ¤øfl ∑Ê≈Êøfl¡⁄fl»⁄ JM•⁄fl ∑¤¿V⁄´⁄fl≠R¬fi¶“•⁄¡⁄fl.

@MV⁄tæ⁄flΔ« Jlflo GŒ⁄flo ‘⁄y»⁄ ⁄fl≠ Oʇs⁄∑ÊfiO⁄fl?

@MV⁄tæ⁄flΔ« ¨fit•⁄fl•⁄fl 1000 ¡⁄‡Æ¤øflæ⁄fl »⁄fl}⁄fl° 100¡⁄‡Æ¤øflæ⁄fl ʇfilflV⁄◊¤•⁄¡Ê Æ⁄√~æʇM•⁄fl ʇfilflV⁄◊⁄—⁄MSÊ¿ GŒ¤oW¡⁄∂‘⁄fl•⁄fl?

1000 ¡⁄‡Æ¤øflæ⁄fl ʇfilflV⁄◊⁄ —⁄MSÊ¿

100 ¡⁄‡Æ¤øfl ʇfilflV⁄◊⁄ —⁄MSÊ¿

⁄ ⁄≠Δ«50, 100,

500, 1000 ¡⁄‡Æ¤øflV⁄◊⁄ʇfilflV⁄ÿ»Ê. Æ⁄√~æʇM•⁄fl

…®⁄•⁄ GŒ⁄flo ʇfilflV⁄◊⁄ ⁄fl≠}ÊVÊ•⁄flOʇMs⁄¡Ê 1500¡⁄‡Æ¤øflæ⁄·¤V⁄fl»⁄‚¥•⁄fl?

_ƒ«¡Ê »⁄·¤t•¤V⁄

GŒ⁄flo ¬fi~?

—¤…¡⁄ ʇfilflV⁄◊⁄fl“PQ•⁄fl»⁄‚¥

‘⁄}⁄fl°´Ê‡filflV⁄◊⁄fl»⁄·¤}⁄√ “PQ»Ê

G¡⁄s⁄fl´Ê‡filflV⁄◊⁄fl»⁄·¤}⁄√ “PQ»Ê

⁄‡¡⁄fl´Ê‡filflV⁄◊⁄fl“PQ•⁄fl»⁄‚¥

.............JM•⁄flV⁄◊⁄fl ........... ⁄‡¡⁄flV⁄◊⁄fl

..........‘⁄}⁄fl°V⁄◊⁄fl

1000

Page 9: V⁄{}⁄ · Karivellur, Kannur Thulasidharan Pilla K.G Govt. U.P.S Charipparamba, Kollam Experts Dr. Radhakrishnan Chettiyar Rtd. Prof. University College Thiruvananthapuram

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∏fidV⁄◊ÊŒ⁄flo?

Æ⁄√~æʇM•⁄¡⁄Δ« 100 ∏fidV⁄ÿ¡⁄fl»⁄ ‘⁄}⁄fl°Æ¤¿OÊlflV⁄◊¤W »⁄·¤t }⁄M•⁄¡⁄fl.

Jlflo ∏fidV⁄◊⁄fl GŒ⁄flo?

C ∏fidV⁄◊⁄ ⁄fl≠ —⁄y| Ƥ¿OÊlflV⁄◊⁄Δ« ‘¤P O⁄«∏π ⁄100 »⁄flO⁄QÿVÊ —⁄»⁄·¤ ⁄»¤W …}⁄¡⁄zÊ »⁄·¤s⁄∑ÊfiO⁄fl.

Æ⁄√~æʇM•⁄fl —⁄y| Ƥ¿OÊn ⁄Δ« GŒ⁄flo

∏fidV⁄ÿ¡⁄∂‘⁄fl•⁄fl?

´¤ ⁄fl O⁄Ms⁄flOʇMs⁄ …®¤ ⁄

VÊ◊⁄~VÊ —⁄‘¤æ⁄fl»⁄·¤s⁄fl»⁄A—⁄∞}Ê√æ⁄flΔ« _P}Ê” Æ⁄sÊæ⁄flfl~°¡⁄fl»⁄ VÊ◊⁄~VÊ —⁄‘¤æ⁄fl »⁄·¤s⁄∑ÊfiO⁄fl. Æ⁄√~æʇM•⁄fl O¤«“¨M•⁄ƒ‡1000 ¡⁄‡Æ¤øflæ⁄flM}Ê —⁄MV⁄√’—⁄∑ÊfiO⁄fl. ‘⁄y»⁄ ⁄fl≠ —⁄MV⁄√’“•⁄ …»⁄¡⁄V⁄◊⁄ ⁄fl≠ Æ⁄noæ⁄flΔ« ʇfit¬.Æ⁄√~æʇM•⁄fl O¤«“´⁄»⁄¡⁄fl 4 ´Êfi ¶´⁄ —⁄MV⁄√’—⁄∑ÊfiO¤•⁄ ‘⁄y»⁄´⁄fl≠ ∂¡Ê•⁄fl Æ⁄noæ⁄fl´⁄fl≠Æ⁄„~%Vʇÿ“¬.

O¤«—⁄fl JM•⁄ Êfi G¡⁄s⁄ Êfi »⁄fl‡¡⁄ Êfi Jlflo Æ⁄√~æʇM•⁄fl O¤«—⁄fl ´¤ƒQ Êfi¶ ⁄ ¶ ⁄ ¶ ⁄ ¶ ⁄ —⁄MV⁄√’—⁄∑ÊfiO¤•⁄ ‘⁄y

IV A 310 490 100

IV B 400 490 100

IV C 410 290 250

IV D 410 490 99

ƤƒO⁄fl´⁄fl≠ æ⁄flfl.Ø. À¤≈Êʇfinfi—È ∑ʇfisÈ%

O⁄‰œ O⁄«∏π´⁄ »⁄~øflM•⁄Æ⁄¬—⁄¡⁄ ¶´⁄»¤•⁄ d‡´È 5¡⁄M•⁄fl O⁄«∏π ⁄ —⁄•⁄—⁄¿¬VÊ }⁄¡⁄O¤¬∏fid•⁄ …}⁄¡⁄zÊ ⁄sÊ—⁄fl»⁄¡⁄fl.

—⁄‘⁄ƤqV⁄◊⁄fl O⁄Ms⁄flOʇMs⁄»⁄fl}ʇ°M•⁄fl …®¤ ⁄

Page 10: V⁄{}⁄ · Karivellur, Kannur Thulasidharan Pilla K.G Govt. U.P.S Charipparamba, Kollam Experts Dr. Radhakrishnan Chettiyar Rtd. Prof. University College Thiruvananthapuram

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—¤…¡⁄•Ê‡M¶VÊ —¤…¡⁄ —Êfi¬•⁄¡Ê

—¤…¡⁄ ¡⁄‡Æ¤øfl∫⁄~%æ⁄·¤øfl}⁄ƒ«»Êfi

´¤»⁄‚¥»⁄flflSʇ¿fiƤ®¤¿æ⁄fl¡⁄Δ«

Oʇsʇfiy

´¤ƒ‡Q O¤«—⁄flV⁄◊⁄fl Δfis⁄¡⁄flV⁄◊⁄fl @»⁄¡⁄fl —⁄MV⁄√’“•⁄ »Ê‡}⁄°»⁄ ⁄fl≠ »⁄flflSʇ¿fiƤ®¤¿æ⁄fl¬Vʨfit•⁄¡⁄fl.

Jlflo GŒ⁄flo ‘⁄y»⁄ ⁄fl≠ —⁄MV⁄√’“•⁄¡ÊM•⁄fl ʇfisʇfiy.

IV A »⁄fl}⁄fl IV B —Êfi¬ GŒ⁄flo ‘⁄y»⁄ ⁄fl≠

¨fit¡⁄fl»⁄¡⁄fl?

IV C æ⁄fl »⁄flO⁄Q◊⁄fl ¨fit•⁄ »Ê‡}⁄°»⁄´⁄fl≠O⁄‡t“•⁄¡Ê Jlflo GŒ⁄flo ‘⁄y»¤øfl}⁄fl?

IV D æ⁄fl ‘⁄y»⁄´⁄fl≠ —Êfi¬“•⁄¡Ê‡fi?

´¤ƒ‡Q O¤«—⁄flV⁄ÿM•⁄ “PQ•⁄ Jlflo ‘⁄y»ÊŒ⁄flo?

1000 + 1000 + 1000 + 1000 = 4000

´¤ƒflQ —¤…¡⁄V⁄◊⁄fl —Êfi¬•¤V⁄ ´¤ƒflQ —¤…¡⁄.

‘⁄}⁄fl° —¤…¡⁄V⁄◊⁄fl —Êfi¬•⁄¡Ê‡fi?

Æ⁄„~%Vʇÿ—⁄∂‘⁄fl•Êfi?1000, 2000, .........., .........., 5000

9000, 8000, .........., .........., 5000

Page 11: V⁄{}⁄ · Karivellur, Kannur Thulasidharan Pilla K.G Govt. U.P.S Charipparamba, Kollam Experts Dr. Radhakrishnan Chettiyar Rtd. Prof. University College Thiruvananthapuram

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—¤…¡⁄ ƒª—⁄ƒfl

B ⁄fl≠ —¤…¡⁄»⁄ ⁄fl≠ »⁄fl‡¡⁄fl —⁄MSÊ¿V⁄◊⁄ »Ê‡}⁄°»¤W …ª ⁄≠ ¬fi~V⁄◊⁄Δ« ∂¡Ê•⁄fl ʇfit¬.

= + +

= + +

= + +

= + +

1000 850 100 50

1000 925 50

1000 800

1000

»⁄flO⁄Q◊⁄ Dÿ}¤æ⁄fl¨»⁄flVÊ Dÿ}¤æ⁄fl »⁄·¤s⁄fl»⁄ ‘⁄»¤¿—⁄B•ÊæÊflfi?¬fi´⁄ »⁄fl}⁄fl° —⁄‘⁄ƤqV⁄◊⁄fl Æ⁄√~ ~MV⁄◊⁄fl∑¤¿MP ⁄Δ« ‘⁄y»⁄ ⁄fl≠ ¨OÊ–fiØ—⁄fl»⁄¡⁄fl.O⁄◊Ê•⁄ —⁄ÆÊoM∂¬¨M•⁄ »⁄·¤^È% ~MV⁄◊⁄»⁄¡ÊVʬfi ⁄ OÊ–fiØ“•⁄fl•⁄ ⁄fl≠ ʇfit¬.Æ⁄noæ⁄fl ⁄fl≠ Æ⁄„~%Vʇÿ—⁄fl…¡⁄ƒ«»Êfi?$¨OÊ–fiØ“•⁄ Jlflo ‘⁄y$@MOÊV⁄◊⁄Δ«

$@O⁄–¡⁄V⁄◊⁄Δ«

$ ∑Êfi“VÊ ¡⁄eÊ O⁄◊Ê•⁄fl À¤≈Ê Æ⁄‚¥ ⁄¡¤¡⁄M∫⁄»¤øfl}⁄fl. d‡´È ~MV⁄◊⁄Δ« ¬fi ⁄◊⁄fl 150¡⁄‡Æ¤øflæ⁄fl ⁄fl≠ OÊ–fiØ“•⁄◊⁄fl.$B•⁄fl»⁄¡ÊVÊ ¨OÊ–fiØ“•⁄ ‘⁄y

$@MOÊV⁄◊⁄Δ«

$@O⁄–¡⁄V⁄◊⁄Δ«

~MV⁄◊⁄fl ¨OÊ–fiØ“•⁄ ‘⁄y Jlflo

—ÊÆÊoM∂¡È 50 50

JOʇofi∂¡È 100 150

⁄»⁄M∂¡È 100 250

t—ÊM∂¡È 200 450

d ⁄»⁄¬ 100 ___

±Ê∂√»⁄¬ ___ 750

»⁄·¤^È% 100 ___

1000

999 + ...... ...... + ............ + 5

850 + ...... 800 + ......925 + ......

Page 12: V⁄{}⁄ · Karivellur, Kannur Thulasidharan Pilla K.G Govt. U.P.S Charipparamba, Kollam Experts Dr. Radhakrishnan Chettiyar Rtd. Prof. University College Thiruvananthapuram

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»⁄fl´Ê‡fieÈ d´⁄»⁄¬øflM•⁄ A¡⁄Mª“ A¡⁄fl~MV ⁄◊ ⁄ flV ⁄◊ ⁄Δ « Æ ⁄ √~~MV ⁄◊ ⁄ fl 100¡⁄‡Æ¤øflæ⁄flM}Ê ¨OÊ–fiØ“•⁄ ⁄fl. ¨OÊ–fiØ“•⁄…»⁄¡⁄V⁄ÿ¡⁄fl»⁄ Æ⁄noæ⁄fl ⁄fl≠ Æ⁄„~%Vʇÿ“¬.d‡´È ~MV⁄◊⁄»⁄¡ÊVÊ ¨OÊ–fiØ“•⁄ Jlflo‘⁄y»ÊŒ⁄flo?@MOÊV⁄◊⁄Δ«

@O⁄–¡⁄V⁄◊⁄Δ«

t—ÊM∂¡È ~MV⁄◊⁄»⁄¡ÊVÊ 100 ¡⁄‡Æ¤øflæ⁄flM}Ê

¨OÊ–fiØ“•⁄¡Ê Jlflo »Ê‡}⁄° GŒ¤oV⁄fl»⁄‚¥•⁄fl?

⁄‡¡⁄flV⁄◊⁄fl —Êfi¬•¤V⁄

Kl —⁄∞®Ê%⁄‡¡⁄fl …flfil¡È Kl —⁄∞®Ê%æ⁄flΔ« ∫¤V⁄»⁄’—⁄fl»⁄ 6 »⁄flM¶ »⁄flO⁄QÿVÊ 1000 ¶M•⁄

A¡⁄Mª“ @ ⁄flO⁄√»⁄fl»¤•⁄ ⁄M∂¡⁄flV⁄◊⁄ ⁄fl≠ fis⁄≈¤W•Ê. @»⁄‚¥V⁄◊⁄ ⁄fl≠ O⁄√»⁄fl»¤W ∂¡Êøfl¬.

—⁄∞®Ê%æ⁄flΔ« ∫¤V⁄»⁄’—⁄fl»⁄ B ⁄fl≠ 5 »⁄flM¶ »⁄flO⁄QÿVÊ @ ⁄flO⁄√»⁄fl»¤•⁄ ⁄M∂¡⁄flV⁄◊⁄ ⁄fl≠¨fis⁄∑ÊfiO⁄fl. @»⁄‚¥V⁄◊⁄ ⁄fl≠ ∂¡Êøfl¬.

~MV⁄◊⁄fl ¨OÊ–fiØ“•⁄ ‘⁄y Jlofl

’M¶ ⁄ ∑¤P 1000

d´⁄»⁄¬ 100 1100

±Ê∂√»⁄¬

»⁄·¤^È%

HØ√≈È

»Êflfi

d‡´È

1008

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1000 + 23000

‘⁄fllflo‘⁄∂πOÊQ Æ⁄‚¥—⁄°O⁄¡¤»⁄flÆ⁄‚¥¡⁄ G≈È.Ø. À¤≈Êæ⁄fl …•¤¿£%V⁄◊⁄fl @»⁄¡⁄ ‘⁄fllflo‘⁄∂π•⁄ Æ⁄√æ⁄flflO⁄° »¤ ⁄ ¤ƒæ⁄flOÊQÆ⁄‚¥—⁄°O⁄V⁄◊⁄ ⁄fl≠ ¨fis⁄fl}¤°¡Ê. C ’M•Ê »¤ ⁄ ¤ƒæ⁄fl•⁄Δ« 1003 Æ⁄‚¥—⁄°O⁄V⁄ÿ•⁄flß»⁄‚¥. d‡´È~MV⁄ÿ ⁄Δ« JM•⁄ Êfi }⁄¡⁄V⁄~øflM•⁄ »¤ ⁄ ¤ƒæ⁄flOÊQ 3 Æ⁄‚¥—⁄°O⁄V⁄◊⁄fl ƒª“•⁄fl»⁄‚¥.

CV⁄ Jlflo GŒ⁄flo Æ⁄‚¥—⁄°O⁄V⁄ÿ»Ê?

d‡´È ~MV⁄ÿ ⁄Δ« B}⁄¡⁄ }⁄¡⁄V⁄~V⁄ÿM•⁄ 9 Æ⁄‚¥—⁄°O⁄V⁄◊⁄fl »¤ ⁄ ¤ƒæ⁄flOÊQ “PQ•⁄fl»⁄‚¥.

Jlflo Æ⁄‚¥—⁄°O⁄V⁄◊ÊŒ⁄flo?

dfl≈ÊÁ ~MV⁄ÿ ⁄Δ« ƒª“•⁄ H◊⁄fl Æ⁄‚¥—⁄°O⁄V⁄ÿVÊ O⁄√»⁄fl»¤W ⁄M∂¡È ¨fit¬.

1020

4000, 5000, ........ B»⁄‚¥V⁄◊ʇM¶VÊ ¨»⁄flWŒ⁄o…¡⁄fl»⁄ JM•⁄MOÊ —⁄MSÊ¿æ⁄fl ⁄fl≠O⁄‡t“¬. B•⁄¡⁄M}Ê ´¤ƒQMOÊ —⁄MSÊ¿æʇM¶VÊ G¡⁄s⁄MOÊ —⁄MSÊ¿V⁄◊⁄´⁄‡≠»⁄fl‡¡⁄MOÊ —⁄MSÊ¿V⁄◊⁄ ⁄‡≠ O⁄‡t“ ʇfit¬.

2000 + 54 = .................. 2000 + 303 = ....................

6000 + 10 = ................ 6000 + 410 = ....................

......... + .... = ................. ......... + ....... = ....................

......... + .... = ................ ......... + ....... = ....................

2000 •Ê‡M¶VÊ JM•⁄MOÊ —⁄MSÊ¿æ⁄fl ⁄fl≠ O⁄‡t“ ʇfit¬.

}⁄Æ⁄‚ ∞ O⁄Ms⁄fl’tøfl¬1000OÊQ 2 ⁄fl≠ O⁄‡t—⁄ƒfl ‘Êfiÿ•¤V⁄ @ ⁄fl »⁄·¤t•⁄ P√æÊflæ⁄fl ⁄fl≠ ʇfit¬.

JM•⁄MOÊ —⁄MSÊ¿æ⁄fl ⁄fl≠ O⁄‡t—⁄fl»⁄

2000 + 5 = ........ 2000 + ........ = ........

@ ⁄fl… ⁄ D}⁄°¡⁄ —⁄¬æ⁄·¤W•ÊæÊflfi?

æ⁄·¤OÊ? —⁄¬æ⁄·¤•⁄ D}⁄°¡⁄ GŒ⁄flo?

1234567890

O⁄ ⁄≠s⁄ @MOÊV⁄◊⁄fl1234567890

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´¤ ⁄fl ⁄ ⁄≠ O⁄fl¬}⁄fl ‘Ë•⁄fl @ƒ«Æ⁄√~æʇ∂π¬V⁄‡ ƒª“•⁄ @MO⁄V⁄◊⁄ ⁄fl≠ O⁄Ms⁄fl’tæ⁄flƒfl —¤®⁄¥¿»¤øfl}⁄fl.

@~ •Ê‡s⁄u @MO⁄»⁄ ⁄‡≠ @~ —⁄y| @MO⁄»⁄ ⁄‡≠ O⁄Ms⁄fl’tæ⁄flƒfl —¤®⁄¥¿»¤øfl}⁄fl.

Æ⁄√~æʇ∂π¡⁄ @MO⁄V⁄◊⁄ ⁄fl≠ O⁄Ms⁄fl’t•⁄ ¬fi~æ⁄fl ⁄fl≠ …»⁄¬—⁄ƒfl ⁄ ⁄VÊ —¤®⁄¥¿»¤øfl}⁄fl.

—¤…¡⁄•Ê‡M¶VÊ @•⁄PQM}⁄ —⁄y| —⁄MSÊ¿V⁄◊⁄ ⁄fl≠ O⁄‡t—⁄fl»⁄‚¥•⁄fl ‘ÊfiVÊM•⁄fl ⁄ ⁄VÊ ~ÿ¶•Ê.

O¤t%¨M•⁄ JM•⁄fl Al»⁄flO⁄Q◊⁄fl O¤s⁄fl%V⁄◊⁄ ⁄fl≠ DÆ⁄æʇfiW“ As⁄fl~°¡⁄fl»⁄¡⁄fl. JM•⁄fl ÆÊnoVÊæ⁄flΔ« OÊMÆ⁄‚¥, ‘⁄“¡⁄fl,¨fiΔ, ‘⁄◊⁄¶ GM∏fi ∂y|V⁄◊⁄Δ«¡⁄fl»⁄ @ ÊfiO⁄ O¤s⁄fl%V⁄ÿ»Ê. ÆÊnoVÊæʇ◊⁄VÊ Ê‡fis⁄•ÊJ∂π¬VÊ 8 O¤s⁄fl%V⁄◊⁄ ⁄fl≠ }ÊVÊæ⁄fl∂‘⁄fl•⁄fl. Æ⁄√~æʇM•⁄fl O¤t%V⁄‡ …ª ⁄≠ @MO⁄V⁄◊⁄ ⁄fl≠¨fis⁄≈¤W•Ê.

JM•⁄fl —⁄ƒ Al Oʇ ÊVʇMs¤V⁄ O¤«“ ⁄ 6 »⁄flM¶ »⁄flO⁄QÿVÊ “PQ•⁄ O¤s⁄fl%V⁄◊⁄—⁄MSÊ¿V⁄◊⁄ ⁄fl≠ ʇfit¬.

‘Ê—⁄¡⁄fl OÊMÆ⁄‚¥ ‘⁄“¡⁄fl ¨fiΔ ‘⁄◊⁄¶ ƒª“•⁄ @MO⁄

@¡⁄flzÈ 1 3 2 2

»Êflfi¬ 1 7 ˛ ˛

±¤~»⁄fl 1 ˛ ˛ 7

e¤±⁄¡È 1 ˛ 2 5

DŒ⁄ 2 ˛ 6 -

eʇfiøfl 2 ˛ ˛ 6

@~ ‘Ê ⁄fl` @MO⁄ ƒª“•⁄»⁄¡⁄fl æ⁄·¤¡⁄fl?

@~ O⁄t»Êfl @MO⁄ ƒª“•⁄»⁄¡⁄fl æ⁄·¤¡⁄fl?

ƒª“•⁄ @MO⁄V⁄◊⁄ ⁄fl≠ —⁄y| —⁄MSÊ¿øflM•⁄ •Ê‡s⁄u —⁄MSÊ¿æ⁄fl»⁄¡ÊVÊ O⁄√»⁄fl»¤W ∂¡Êøfl¬.

1000 100 10 1

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O¤s⁄fl%V⁄◊ÊŒ⁄flo?

1000 100 10 1

O¤s⁄fl%V⁄◊⁄ ⁄fl≠ DÆ⁄æʇfiW“ Al At•¤V⁄ 4 »⁄flM¶ »⁄flO⁄QÿVÊ ƒª“•⁄ @MO⁄V⁄◊⁄ ⁄fl≠ ʇfit¬.Æ⁄√~æʇ∂π¬V⁄‡ æ⁄·¤»⁄ æ⁄·¤»⁄ O¤s⁄fl%V⁄◊⁄fl GŒÊoŒ⁄flo “PQ¡⁄∂‘⁄fl•⁄fl?Æ⁄noæ⁄fl ⁄fl≠ Æ⁄„~%Vʇÿ“¬.

‘Ê—⁄¡⁄fl @MO⁄

@ ⁄fl` 3140 3 1 4 0

eʇfi¨ 2303

¡¤{ 3122

dæ⁄fl 2006

@ ⁄fl`…VÊ »⁄fl‡¡⁄fl —¤…¡⁄V⁄◊⁄fl, JM•⁄fl ⁄‡¡⁄fl »⁄fl}⁄fl°´¤ƒflQ ‘⁄}⁄fl°V⁄◊⁄fl —Êfi¬ 3140 @MO⁄V⁄◊⁄fl ƒª“•Êæ⁄flƒ«»Êfi?

2303 ⁄fl≠ ‘ÊfiVÊ ∂¡Êæ⁄fl∂‘⁄fl•⁄fl?

..............—¤…¡⁄V⁄◊⁄fl

............. ⁄‡¡⁄flV⁄◊⁄fl

..............‘⁄}⁄fl°V⁄◊⁄fl

..............JM•⁄flV⁄◊⁄fl

2303

¡⁄‘⁄ VÊ 3 —¤…¡⁄V⁄◊⁄‡ 2 ⁄‡¡⁄flV⁄◊⁄‡ 3 JM•⁄flV⁄◊⁄‡ ƒª“•⁄fl»⁄‚¥.

Jlflo GŒ⁄flo @MO⁄ ƒª“}⁄fl?

¶æ⁄·¤ÿVÊ JM•⁄fl ‘⁄“¡⁄fl O¤s⁄fl%, JM•⁄fl OÊMÆ⁄‚¥ O¤s⁄fl%, 3 ¡⁄M}Ê ¨fiΔ »⁄fl}⁄fl°‘⁄◊⁄¶ O¤s⁄fl%V⁄◊⁄fl ƒª“•⁄fl»⁄‚¥. ‘¤V¤•⁄¡Ê ƒª“•⁄ Jlflo

@MO⁄V⁄◊ÊŒ⁄flo?

∂M®⁄‡¡⁄ÿVÊ 2123 @MO⁄V⁄◊⁄fl ƒª“»Ê. A•⁄¡Ê æ⁄·¤»⁄ æ⁄·¤»⁄

O¤s⁄fl%V⁄◊⁄fl GŒÊoŒ⁄flo “PQ¡⁄∂‘⁄fl•⁄fl? 50 ⁄‡¡⁄flV⁄ÿ¡⁄fl»⁄—⁄MSÊ¿æ⁄flfl GŒ⁄flo—¤…¡⁄V⁄ÿ¡⁄fl»⁄

—⁄MSÊ¿VÊ—⁄»⁄·¤´⁄»¤W¡⁄fl»⁄‚¥•⁄fl?100 ⁄‡¡⁄flV⁄ÿ¡⁄fl»⁄

—⁄MSÊ¿æʇfi?

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—ÊÁO⁄ƒfl R¬fi¶—⁄fl»⁄@∂fl, eʇfi¨ »⁄fl}⁄fl° ∑¤∂fl ‘ʇ—⁄

—ÊÁO⁄ƒfl R¬fi¶“•⁄¡⁄fl.@∂fl…´⁄ —ÊÁO⁄Δ´⁄ ∑Ê≈Ê 3250 ¡⁄‡Æ¤øfl.@MV⁄tæ⁄flΔ« —¤…¡⁄ ¡⁄‡Æ¤øflæ⁄fl »⁄fl‡¡⁄fl,´⁄‡¡⁄fl ¡⁄‡Æ¤øflæ⁄fl G¡⁄s⁄fl »⁄fl}⁄fl° ‘⁄}⁄fl°¡⁄‡Æ¤øflæ⁄fl I•⁄fl ʇfilflV⁄◊⁄ ⁄fl≠ fit•⁄ ⁄fl.

—¤§ ⁄ ∑Ê≈ÊV⁄ ⁄fl—⁄¬“

3250 ⁄fl≠ 3 —¤…¡⁄V⁄◊⁄fl,

2 ⁄‡¡⁄flV⁄◊⁄fl, 5 ‘⁄}⁄fl°V⁄◊⁄fl

GM•⁄fl ‘Êfi◊⁄fl»⁄¡⁄fl.

426 ‘⁄}⁄fl°V⁄◊⁄fl5 JM•⁄flV⁄◊⁄fl

4265........JM•⁄flV⁄◊⁄fl........ ⁄‡¡⁄flV⁄◊⁄fl6 ‘⁄}⁄fl°V⁄◊⁄fl5 JM•⁄flV⁄◊⁄fl

4 —¤…¡⁄V⁄◊⁄fl.........‘⁄}⁄fl°V⁄◊⁄fl......JM•⁄flV⁄◊⁄fl

42 ⁄‡¡⁄flV⁄◊⁄fl.......JM•⁄flV⁄◊⁄fl

........—¤…¡⁄V⁄◊⁄fl

........ ⁄‡¡⁄flV⁄◊⁄fl

........‘⁄}⁄fl°V⁄◊⁄fl

........JM•⁄flV⁄◊⁄fl

∑¤∂fl ‘Ê ⁄fl`»⁄¬æ⁄·¤W “fimÈ O⁄»⁄¡È »⁄fl}⁄fl° ∑ʃ« ⁄fl≠ R¬fi¶“•⁄ ⁄fl. Gƒ«»⁄„ —Êfi¬Jlflo »Ê‡}⁄° 4265 ¡⁄‡Æ¤øfl Aøfl}⁄fl. æ⁄·¤»⁄ æ⁄·¤»⁄ ¬fi~æ⁄flΔ« C »Ê‡}⁄°»⁄ ⁄fl≠∂¡Êæ⁄fl∂‘⁄fl•⁄fl?

eʇfi¨æ⁄flfl —¤…¡⁄ ¡⁄‡Æ¤øflæ⁄fl 3,´⁄‡¡⁄fl ¡⁄‡Æ¤øflæ⁄fl 4 »⁄fl}⁄fl° ‘⁄}⁄fl°¡⁄‡Æ¤øflæ⁄fl 5 ʇfilflV⁄◊⁄ ⁄fl≠ fit•⁄ ⁄fl.eʇfi¨æ⁄fl —ÊÁO⁄Δ ⁄ ∑Ê≈Ê GŒ⁄flo?

@MOÊV⁄◊⁄Δ«

@O⁄–¡⁄V⁄◊⁄Δ«

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@MOÊV⁄◊⁄Δ«æ⁄fl‡ @O⁄–¡⁄V⁄◊⁄Δ«æ⁄fl‡4265 ´¤ƒflQ —¤…¡⁄•⁄ B ⁄‡≠¡⁄ @¡⁄ }ÊΕ⁄fl

»⁄fl‡¡⁄fl —¤…¡⁄•⁄ A¡⁄fl ⁄‡¡⁄ BÆ⁄∞}⁄fl°

»⁄fl‡¡⁄fl —¤…¡⁄•⁄ »⁄fl‡»⁄}⁄fl°

3001

5022

6070

H◊⁄fl —¤…¡⁄•⁄ I ⁄‡¡⁄fl

9090

1020, 1030, 1040, ........, ........, ........

7070, 7080, 7090, ........, ........, ........

2073, 2083, 2093, ........, ........, ........

3940, 3960, 3980, ........, 4020, ........

Æ⁄„~%Vʇÿ“¬

⁄»⁄fl‡ Ê Æ⁄„~%Vʇÿ“¬

2100, 2200, 2300, ............... , ............... , ...............

3300, 3200, 3100, ............... , ............... , ...............

5000, 5200, 5400, ............... , ............... , ...............

6500, 6300, 6100, ............... , ............... , ...............

8600, 8700, 8800, ............... , ............... , ...............

1 + 10 + 100 + 1000 =

2 + 20 + 200 + 2000 =

1 + 11 + 111 + 1111 =

2 + 22 + 222 + 2222 =

∑¤øfl≈ÊO⁄Q»¤W »⁄·¤sʇfiy

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¡Ê‡fi»⁄fl´È —⁄MS¤¿ Æ⁄•⁄™~I, V, X, L, C, D, M GM∏fi @O⁄–¡⁄V⁄◊⁄ ⁄fl≠ ¡Ê‡fi»⁄fl´È —⁄MS¤¿ Æ⁄•⁄™~æ⁄flΔ« DÆ⁄æʇfiW—⁄fl}¤°¡Ê.

¡Ê‡fi»⁄fl´È —⁄MS¤¿ Æ⁄•⁄™~æ⁄flΔ« JM•⁄ ⁄fl≠ —⁄‡_—⁄fl»⁄‚¥•⁄fl ‘ÊfiVÊ?

I•⁄ ʇ≠fi?

B ⁄fl≠ ´¤ƒQ ⁄fl≠ ‘ÊfiVÊ ∂¡Êæ⁄fl∂‘⁄fl•⁄fl?

I•⁄¡⁄ Gs⁄∂¶æ⁄flΔ« JM•⁄ ⁄fl≠ ∂¡Ê•⁄fl ´¤ƒQ ⁄fl≠ —⁄‡_—⁄fl»⁄¡⁄fl ˛ IV

V ¡⁄ ∂ƒ∂¶æ⁄flΔ« I ⁄fl≠ ∂¡Ê•⁄fl A¡⁄ ⁄fl≠ —⁄‡_—⁄fl»⁄¡⁄fl - VI

V ¡⁄ ∂ƒ∂¶æ⁄flΔ« G¡⁄s⁄fl I V⁄◊⁄ ⁄fl≠ ∂¡Ê•⁄¡Ê H◊¤V⁄fl»⁄‚¥•⁄fl ˛ VII

A•⁄¡Ê GMl ʇ≠fi?

JM∫⁄}⁄° ʇ≠fi?

I - 1V - 5X - 10L - 50C - 100D - 500M - 1000

4200

3 —¤…¡⁄V⁄◊⁄fl, .............. ‘⁄}⁄fl°V⁄◊⁄fl, 7 JM•⁄flV⁄◊⁄fl........... ⁄‡¡⁄flV⁄◊⁄fl, 9 ‘⁄}⁄fl°V⁄◊⁄fl, 7 JM•⁄flV⁄◊⁄fl............‘⁄}⁄fl°V⁄◊⁄fl, 7 JM•⁄flV⁄◊⁄fl3 —¤…¡⁄V⁄◊⁄fl, ...........JM•⁄flV⁄◊⁄fl

3897

6875

4 —¤…¡⁄V⁄◊⁄fl, ............... ⁄‡¡⁄flV⁄◊⁄fl

..........................‘⁄}⁄fl°V⁄◊⁄fl

........................JM•⁄flV⁄◊⁄fl

...................... ⁄‡¡⁄flV⁄◊⁄fl

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Æ⁄√À⁄“°æ⁄fl‡ B—⁄…æ⁄fl‡G◊⁄fl}⁄°^⁄`´È Æ⁄√À⁄“° ƒª“•⁄»⁄¡⁄ ‘Ê—⁄¡⁄flV⁄◊⁄´⁄fl≠ B—⁄…V⁄´⁄fl—¤¡⁄»¤W ¨fis⁄≈¤W•Ê.B—⁄…V⁄◊⁄ ⁄fl≠ @ ⁄flO⁄√»⁄fl»¤W ∂¡Ê•⁄fl Æ⁄„~%Vʇÿ“¬.

B—⁄… ‘Ê—⁄¡⁄fl1993 À⁄‡¡⁄ ¤≠sÈ O⁄flMj´È Ø◊ÊŸ

}⁄O⁄ÿ û⁄À⁄MO⁄¡⁄ Ø◊ÊŸ∑¤≈¤»⁄fl{æ⁄fl»⁄flΩs¤. OÊ.GM. eʇfieÈ%ÆÊ„´ÈO⁄fl ⁄≠M »⁄P%GM.Ø. @Æ⁄∞´ÈOÊ.Ø. ´¤¡¤æ⁄fly ØÀ¤¡⁄tƤ≈¤ ´¤¡¤æ⁄fly´È ´¤æ⁄fl¡ÈJ.…. …dæ⁄fl´ÈO⁄»⁄flƒ —⁄fl¡⁄æ⁄fl¿n. Æ⁄•⁄Ω´¤∫⁄´È—⁄flO⁄fl»⁄·¤¡È @ÿOʇQfisÈG—È.V⁄flÆ⁄° È ´¤æ⁄fl¡ÈOʇfi…ƒ´ÈJ.G´È. …. O⁄fl¡⁄flÆÈ∞@PQ}⁄M @ ⁄fl`}⁄ È ⁄M∂‡¶¬—⁄flV⁄•⁄ O⁄fl»⁄·¤¬s¤.GM. Δfi≈¤»⁄~GM.n. »¤—⁄fl•Êfi»⁄ È ´¤æ⁄fl¡ÈAl‡o¡È ¡⁄…»⁄»⁄fl%GM.OÊ. —¤ ⁄fl…Œ⁄fl| ´¤¡¤æ⁄fly´È ⁄M∂‡¶¬

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•¤R≈¤~ —⁄MSÊ¿…flfi ⁄ »⁄fl}⁄fl° —⁄‘⁄ƤqV⁄ÿVÊ ‘ʇ—⁄ À¤≈Êæ⁄flΔ« @ ⁄flO⁄√»⁄fl»¤•⁄ •¤R≈¤~ —⁄MSÊ¿æ⁄flflƒª“}⁄fl. —⁄MSÊ¿V⁄◊⁄ ⁄fl≠ ∂¡Ê•⁄fl Æ⁄noæ⁄fl ⁄fl≠ Æ⁄„~%Vʇÿ“¬.

…À⁄ O⁄ÆÈ Æ⁄‚¥m¤π≈ÈÆ⁄√~ ´¤ƒflQ»⁄Œ⁄%V⁄ÿVʇ»ÊflΩ …À⁄ O⁄ÆÈÆ⁄‚¥m¤π≈È —⁄∞®Ê%æ⁄flfl⁄sÊæ⁄flfl}⁄°•Ê. —⁄∞®Ê% ⁄sÊ•⁄

»⁄Œ⁄%V⁄◊⁄ ⁄fl≠ @ ⁄flO⁄√»⁄fl»¤W∂¡Ê•⁄fl Æ⁄noæ⁄fl ⁄fl≠Æ⁄„~%Vʇÿ“¬.

•¤R≈¤~ —⁄MSÊ¿ ‘Ê—⁄¡⁄fl

3008 …flfi ⁄

d—⁄≠

¡⁄»⁄fl¿

@Æ⁄y%

À⁄M ⁄

»⁄·¤æ⁄fl

∂ÿO⁄ 20 »⁄flM¶ »⁄flO⁄Q◊⁄fl B•Êfi À¤≈ÊVÊ —Êfi¬•⁄¡⁄fl. Oʇ ÊVÊ —Êfi¬•⁄ »⁄flV⁄fl… ⁄

•¤R≈¤~ —⁄MSÊ¿ GŒ⁄flo?

JM•⁄fl ~MV⁄◊⁄ ∂ÿO⁄ Oʇ Êæ⁄fl •¤R≈¤~ —⁄MSÊ¿æ⁄flfl 3049 Aøfl}⁄fl.

A•⁄¡Ê ⁄M}⁄¡⁄ —Êfi¬•⁄ »⁄flO⁄Q◊⁄ —⁄MSÊ¿ GŒ⁄flo?

»⁄Œ⁄% —⁄∞®Ê% ⁄sÊ•⁄ •ÊfiÀ⁄@d%Mnfi´⁄—Ê∞>Á´È»ÊflP”Oʇfi

1990 BlΔæ⁄flfl.G—È.G±¤√´È”•⁄P–y Oʇ¬æ⁄fl, dƤ´Èd»⁄fl%¨•⁄P–y A≤¥√O⁄∑Ê√“≈È

333 ¡Ê‡M¶VÊ GŒ⁄floO⁄‡t“•⁄¡Ê 3333

“V⁄fl»⁄‚¥•⁄fl?

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21

ÃR¡⁄V⁄◊⁄‡ G}⁄°¡⁄»⁄„

…À⁄ •⁄ Oʃ»⁄‚¥ ÃR¡⁄V⁄◊⁄ ‘Ê—⁄¡⁄flV⁄◊⁄ ⁄‡≠ G}⁄°¡⁄»⁄ ⁄‡≠Oʇs⁄≈¤W•Ê. G}⁄°¡⁄OÊQ @´⁄fl—¤¡⁄»¤W —⁄y|•⁄¬M•⁄•Ê‡s⁄u•⁄¡⁄»⁄¡ÊVÊ V⁄fl¡⁄fl~“¬.

A Ê»⁄flflt

2695 …flfil¡È

O¤M ⁄ ÈdflMV⁄

8586 …flfil¡È

OÊ - 28611 …flfil¡È ⁄M•¤•Êfi…

7816 …flfil¡È

⁄MV⁄ Æ⁄»⁄%}⁄

8126 …flfil¡È

G»⁄¡Ê—Èo8848 …flfil¡È

…À⁄ •⁄Δ«æÊflfi @}⁄¿M}⁄ G}⁄°¡⁄•⁄⁄ÃR¡⁄»⁄‚¥ G»⁄¡Ê—Èo AW•Ê.OÊfi¡⁄◊⁄•⁄flß A Ê »⁄flfltæ⁄fl‡

AW•Ê.

´¤ ⁄fl 2025 ¡⁄ …À⁄ O⁄ÆÈ—⁄∞®Ê%æ⁄fl ⁄fl≠ ʇfis⁄ƒfl

‘ʇfiV⁄fl»Ê ⁄fl.

¨fi´⁄•⁄´⁄fl≠O⁄Ms⁄•Êß...

»⁄flflM¶´⁄ —⁄∞®Ê%æ⁄flfl ´⁄sÊæ⁄flfl»⁄

»⁄Œ⁄% æ⁄·¤»⁄‚¥•⁄fl?

B•Êfi ¬fi~æ⁄flΔ« —⁄∞®Ê%⁄sÊæ⁄flfl»⁄‚¥•¤•⁄¡Ê 2025 ¡⁄Δ«

…À⁄ O⁄ÆÈ Æ⁄‚¥m¤π≈È —⁄∞®Ê%

⁄sÊæ⁄fl∂‘⁄fl•Êfi? JM•⁄fl O¤¬ ⁄ ⁄M∂¡È

@ ⁄flO⁄√»⁄fl»¤•⁄ ´¤ƒflQ @MOÊV⁄◊¤W»Ê.»Ê‡•⁄ƒ »⁄fl}⁄fl° Oʇ Êæ⁄fl @MOÊV⁄◊⁄

»Ê‡}⁄° 9 A•⁄¡Ê ⁄M∂¡⁄ ⁄fl≠O⁄Ms⁄fl’tæ⁄fl∂‘⁄fl•Êfi?

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—¤§ ⁄ ∑Ê≈Ê5, 0 GM∏fi @MOÊV⁄◊⁄ ⁄fl≠ »⁄·¤}⁄√ DÆ⁄æʇfiW“ æ⁄·¤»⁄ æ⁄·¤»⁄ ´¤ƒQMOÊ —⁄MSÊ¿V⁄◊⁄ ⁄fl≠∂¡Êæ⁄fl∂‘⁄fl•⁄fl?

5000, 5005, ............, ............, ............, ............, ............, ............

C —⁄MSÊ¿V⁄◊⁄ ⁄fl≠ —⁄y| —⁄MSÊ¿øflM•⁄ •Ê‡s⁄u —⁄MSÊ¿æ⁄fl»⁄¡ÊVÊ ∂¡Êøfl¬.

5000, ..........., ..........., ..........., ..........., ..........., ..........., ...........

B•⁄¡⁄Δ« @}⁄¿M}⁄ •Ê‡s⁄u —⁄MSÊ¿ 5555 AW•Êæ⁄flƒ«»Êfi.

B•⁄¡⁄Δ« @}⁄¿M}⁄ Gs⁄∫¤V⁄•⁄Δ«¡⁄fl»⁄ 5 ¡⁄ —¤§ ⁄∑Ê≈Ê.

@}⁄¿M}⁄ ∂ƒ∫¤V⁄•⁄Δ«¡⁄fl»⁄ 5 ¡⁄ —¤§ ⁄ ∑Ê≈Êæʇfi?

´¤ ⁄fl æ⁄·¤¡⁄fl?$ 1200 »⁄fl}⁄fl° 1300¡⁄ GsÊæ⁄flΔ«

$ ‘⁄}⁄°¡⁄ —¤§ ⁄•⁄Δ« 3

$ —⁄»⁄fl —⁄MSÊ¿æ⁄·¤W•Ê.

$ JM•⁄fl @MOÊæ⁄flfl A»⁄~%—⁄fl}⁄°•Ê.

.03 .037

6 67

8888

8 8 8 88888 8 8 8

8 8

´⁄´⁄≠´⁄fl≠O⁄Ms⁄fl’tæ⁄fl∂‘⁄fl•Êfi?

´¤ ʇM•⁄fl ¤ƒQMOÊ—⁄MSÊ¿æ⁄·¤W¡⁄fl»Ê ⁄fl. ´¤ ⁄fl »⁄fl}⁄fl° ⁄ ⁄≠

B»⁄flΩt —Êfi¬•⁄¡Ê @}⁄¿M}⁄ •Ê‡s⁄u´¤ƒQMOÊ —⁄MSÊ¿ “V⁄fl»⁄‚¥•⁄fl.

´¤´¤¿¡ÊM•⁄fl ‘Êfiÿ¬.

…Œ⁄»⁄fl»⁄„ —⁄»⁄fl»⁄„JM•⁄ Êfi —⁄»⁄fl—⁄MSÊ¿ - 2 JM•⁄ Êfi …Œ⁄»⁄fl —⁄MSÊ¿ - 1G¡⁄s⁄ Êfi —⁄»⁄fl—⁄MSÊ¿ - G¡⁄s⁄ Êfi …Œ⁄»⁄fl —⁄MSÊ¿ -´¤ƒQ Êfi —⁄»⁄fl—⁄MSÊ¿ - ´¤ƒQ Êfi …Œ⁄»⁄fl —⁄MSÊ¿ -‘⁄}⁄° Êfi —⁄»⁄fl—⁄MSÊ¿ 20 AW•Ê. ‘⁄}⁄° Êfi …Œ⁄»⁄fl —⁄MSÊ¿ -50 Êfi —⁄»⁄fl—⁄MSÊ¿ - 50 Êfi …Œ⁄»⁄fl —⁄MSÊ¿ -

100 Êfi —⁄»⁄fl—⁄MSÊ¿400 GM∂fl•⁄fl GŒ⁄o Êfi —⁄»⁄fl—⁄MSÊ¿ AW•Ê?

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—⁄¬ »⁄fl}⁄fl° }⁄Æ⁄‚ ∞JM•⁄fl V⁄flMØ ⁄ »⁄flO⁄Q◊⁄fl∂¡Ê•⁄flOʇMs⁄fl ∂M¶¡⁄fl»⁄@ ⁄flO⁄√»⁄fl»¤•⁄ G{O¤—⁄MSÊ¿V⁄◊⁄ ⁄»⁄fl‡ ÊV⁄◊⁄ ⁄fl≠@®¤¿ØOÊ O⁄¬‘⁄ƒVÊæ⁄flΔ«∂¡Ê¶¡⁄fl»⁄¡⁄fl.

⁄»⁄fl‡ ÊV⁄◊⁄Δ«—⁄¬æ⁄·¤•⁄»⁄‚¥V⁄◊⁄ ⁄‡≠}⁄Ƥ∞•⁄»⁄‚¥V⁄◊⁄´⁄‡≠O⁄Ms⁄fl’tøfl¬. }⁄Æ⁄∞ ⁄fl≠~¶ß Æ⁄„~%Vʇÿ“¬.

´¤ ⁄fl O⁄Ms⁄fl’t•⁄fl•⁄fl

—⁄¬æ⁄·¤W¡⁄fl»⁄‚¥•⁄fl }⁄Ƥ∞•⁄fl•⁄ ⁄fl≠ —⁄¬»⁄·¤t ∂¡Ê¶¡⁄fl»⁄‚¥•⁄fl

´¤»⁄‚¥ æ⁄·¤¡⁄fl?$ 2000 »⁄fl}⁄fl° 3000 •⁄ GsÊæ⁄flΔ«

$ …Œ⁄»⁄fl —⁄MSÊ¿æ⁄·¤W•Ê.

$ ‘⁄}⁄°¡⁄ —¤§ ⁄•⁄ @MOÊ 6 AW•Ê.

$ JM•⁄¡⁄ »⁄fl}⁄fl° ⁄‡¡⁄¡⁄ —¤§ ⁄V⁄◊⁄Δ« JM•Êfi @MOÊøfl•Ê.

.03 .037

6 6

7

8888

8 8 8 88888 8 8 8

8 8

$ 1007, 1008, 1009, 1100, 1101, 1102$ 2006, 2007, 2008, 2009, 2010, 2011$ 3107, 3108, 3109, 4000, 4001, 4002

1097, 1098, 1099, 2000, 2001, 2002$ 4447, 4448, 4449, 4050, 4051, 4052$ 6636, 6637, 6638, 6639, 6640, 6641$ 8995, 8996, 8997, 8998, 8999, 9999$ 9095, 9096, 9097, 9098, 9099, 10000

.03 .037

6 6

7

8888

8 8 8 88888 8 8 8

8 8

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—⁄flf}È ⁄ O¤¬ ⁄ ⁄M∂¡È GŒ⁄flo?$ —⁄flf}⁄´⁄ O¤¬´⁄ ´⁄M∂¡È ´¤ƒQMOÊ

—⁄MSÊ¿æ⁄·¤W•Ê.$ Oʇ Êæ⁄fl @MOÊæ⁄flfl »Ê‡•⁄ƒ @MOÊæ⁄fl

B»⁄flΩtæ⁄·¤W•Ê.$ G¡⁄s⁄´Ê »⁄fl}⁄fl° »⁄fl‡¡⁄´Ê @MOÊV⁄◊⁄fl

—⁄»⁄·¤ ⁄»¤W»Ê.$ Oʇ´Êæ⁄fl G¡⁄s⁄MOÊV⁄◊⁄´⁄fl≠ J◊⁄VʇMs⁄

—⁄MSÊ¿æ⁄flfl »Ê‡•⁄ƒ G¡⁄s⁄MOÊV⁄◊⁄´⁄fl≠J◊⁄VʇMs⁄ —⁄MSÊ¿æ⁄fl B»⁄flΩtæ⁄·¤W•Ê.

Æ⁄√~æʇM•⁄fl —¤Δ ⁄Δ«æ⁄fl‡ •Ê‡s⁄u —⁄MSÊ¿æ⁄fl —⁄fl}⁄°»⁄‰}⁄°»⁄ ⁄‡≠ —⁄y| —⁄MSÊ¿æ⁄fl —⁄fl}⁄° ËO⁄»⁄ ⁄‡≠ G◊Êøfl¬.

4275, 4257, 4725, 4752, 4572

4762, 4726, 4672, 4267, 4276

4662, 4757, 4262, 4755, 4266

4247, 4772, 4727, 4277, 4272

4764, 4677, 4252, 4767, 4257

»⁄‰}⁄°•Ê‡◊⁄W ⁄ —⁄MSÊ¿V⁄◊⁄ ⁄fl≠ —⁄y| —⁄MSÊ¿øflM•⁄ •Ê‡s⁄u —⁄MSÊ¿æ⁄fl»⁄¡ÊVÊ O⁄√»⁄fl»¤W ∂¡Êøfl¬.

C —⁄MSÊ¿V⁄◊ʇ◊⁄VÊ H´¤•⁄¡⁄‡ —⁄M∂M®⁄…•ÊæÊflfi?

^ËO⁄•Ê‡◊⁄W ⁄ —⁄MSÊ¿V⁄◊⁄ ⁄fl≠ •Ê‡s⁄u —⁄MSÊ¿øflM•⁄ —⁄y| —⁄MSÊ¿æ⁄fl»⁄¡ÊVÊ O⁄√»⁄fl»¤W ∂¡Êøfl¬.

—⁄y|•⁄‡ •Ê‡s⁄u•⁄‡

—⁄MSÊ¿V⁄◊⁄ ⁄fl≠ ∂¡Êæ⁄flfl»⁄4, 6, 7, 9 GM∏fi @MOÊV⁄◊⁄ ⁄fl≠

A»⁄~%—⁄•Ê GŒ⁄flo ¤ƒQMOÊ —⁄MSÊ¿V⁄◊⁄ ⁄fl≠∂¡Êæ⁄flƒfl —¤®⁄¥¿…•Ê? æ⁄·¤»⁄‚¥»ÊM•⁄fl∂¡Ê•⁄fl ʇfit¬. 3, 7, 0, 5 GM∏fi

@MOÊV⁄◊¤•⁄¡Ê‡fi?

2999, 3000, 3001

2098, 2099, ..........

5999, .........., 6001

.........., 6199, ..........

.........., 4200, ..........

.........., 7000, ..........

@´⁄flO ⁄ √» ⁄ fl»¤•⁄ » ⁄fl‡¡ ⁄fl G{O¤—⁄MSÊ¿V⁄◊⁄fl ∂¡⁄fl»⁄ ¬fi~æ⁄flΔ« Æ⁄noæ⁄fl ⁄fl≠Æ⁄„~%Vʇÿ“¬.

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BM¶ ⁄ Æ⁄√»⁄flflR O¤æ⁄fl%O⁄√»⁄flV⁄◊⁄fl7.05 OÊQ O⁄‰œ »¤}Ê%V⁄◊⁄fl

8.31OÊQ V¤√…flfiy ∫¤¡⁄}⁄ 12.40 OÊQ V¤√»⁄fl*.1 V⁄MmÊVÊ À¤“°fiæ⁄fl —⁄MWfi}⁄6.45 OÊQ »⁄æ⁄flƒflM …fis⁄flM

9.16 OÊQ ÀÊÁO⁄–{O⁄ O¤æ⁄fl%O⁄√»⁄fl

V⁄tæ⁄·¤¡⁄•⁄Δ« V⁄fl¡⁄fl~—ʇfiy

¡Êfitæʇfi•⁄Δ« ⁄ Æ⁄√»⁄flflR O¤æ⁄fl%O⁄√»⁄flV⁄◊⁄ —⁄»⁄flæ⁄fl»⁄ ⁄fl≠ V⁄tæ⁄·¤¡⁄•⁄Δ« V⁄fl¡⁄fl~“•⁄¡Ê‡fi?

O⁄‰œ »¤}Ê%V⁄◊⁄fl V¤√…flfiy ∫¤¡⁄}⁄

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»¤}Ê%æ⁄fl ⁄fl≠ V⁄»⁄fl¨“¶¡⁄ƒ«»Êfi.

»¤}Ê%æ⁄flΔ« ‘Êfiÿ•⁄ —⁄»⁄flæ⁄fl»⁄ ⁄fl≠ AÀ¤◊⁄fl V⁄tæ⁄·¤¡⁄•⁄Δ« V⁄fl¡⁄fl~“•⁄fl•⁄ ⁄fl≠ ʇfit¬.

C V⁄tæ⁄·¤¡⁄•⁄ ¨fiΔ ∂y|•⁄»⁄flfl◊⁄flŸ —ÊO⁄flMs⁄fl »⁄flfl◊¤ŸW•Ê.

V⁄tæ⁄·¤¡⁄•⁄ VÊ¡ÊV⁄◊⁄ ⁄fl≠ G{“ʇfit —ÊO⁄flMs⁄fl GŒÊoM•⁄fl

‘Êfi◊⁄∂‘⁄fl•⁄fl.

—ÊO⁄flMs⁄fl »⁄flfl◊⁄flŸ 12¬M•⁄Ƥ√¡⁄Mª“ Æ⁄‚¥ ⁄N 12 OÊQ}⁄ƒflÆ⁄ƒfl }ÊVÊ•⁄flOʇ◊⁄flŸ»⁄60 —ÊO⁄flMs⁄fl —⁄»⁄flæ⁄fl»Êfi

1 …fl¨lfl AW•Ê.

$ »Ê‡•⁄ƒ Ê V⁄tæ⁄·¤¡⁄•⁄ —⁄»⁄flæ⁄fl 7 V⁄MmÊ 8 —ÊO⁄flMs⁄fl

$ G¡⁄s⁄ Êæ⁄fl•Ê‡ßfi?

⁄»⁄flV⁄‡ JM•⁄fl V⁄tæ⁄·¤¡⁄»⁄ ⁄fl≠ ¨…fl%“•⁄¡Ê‡fi?H Ê≈¤« ∑ÊfiO⁄fl?$ •⁄Æ⁄∞…¡⁄fl»⁄ O¤V⁄•⁄$$-

¨fi»⁄‚¥ }⁄æ⁄·¤¬“•⁄ V⁄tæ⁄·¤¡⁄V⁄◊⁄ ⁄fl≠ }⁄¡⁄V⁄~æ⁄flΔ« Æ⁄√•⁄Ã%—⁄fl…¡⁄ƒ«»Êfi.

—⁄~fiÀÈ ®⁄»¤´È —Ê∞fi—È —ÊMl¬¨M•⁄7 V⁄MmÊ O⁄◊Ê•⁄fl 8 —ÊO⁄flMs⁄fl A•¤V⁄ Ds¤øfl“•⁄DÆ⁄V⁄√‘⁄»⁄‚¥ 8 V⁄MmÊ O⁄◊Ê•⁄fl 32 …fl¨lfl »⁄fl}⁄fl°45 —ÊO⁄flMs⁄fl A•¤V⁄ »Ê‡•⁄ƒfl D•ÊßfiÓ•⁄

V⁄fl¬æ⁄fl}⁄° }⁄ƒflØ}⁄fl. t. t. O⁄ ⁄≠s⁄

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∂¡Êæʇfiy.......... ¡⁄_—ʇfiy Æ⁄√~æʇM•⁄fl V⁄tæ⁄·¤¡⁄•⁄ —⁄»⁄flæ⁄fl GŒÊoM•⁄fl OÊ◊⁄VÊ fit•⁄ OʇfizÊV⁄◊⁄Δ« ∂¡Êøfl¬.

OʇfizÊV⁄◊⁄Δ« Oʇno¡⁄fl»⁄ —⁄»⁄flæ⁄fl»⁄ ⁄fl≠ V⁄tæ⁄·¤¡⁄•⁄Δ« ¡⁄_—ʇfiy.

10 V⁄MmÊ55 …fl¨lfl21 —ÊO⁄flMs⁄fl

.......V⁄MmÊ

.......…fl¨lfl

........—ÊO⁄flMs⁄fl

.......V⁄MmÊ

.......…fl¨lfl

........—ÊO⁄flMs⁄fl

.......V⁄MmÊ

.......…fl¨lfl

........—ÊO⁄flMs⁄fl

4 V⁄MmÊ15 …fl¨lfl40 —ÊO⁄flMs⁄fl

6 V⁄MmÊ25 …fl¨lfl2 —ÊO⁄flMs⁄fl

10 V⁄MmÊ30 —ÊO⁄flMs⁄fl

12 V⁄MmÊ35 …fl¨lfl17 —ÊO⁄flMs⁄fl

9 V⁄MmÊ55 …fl¨lfl14 —ÊO⁄flMs⁄fl

.......V⁄MmÊ

.......…fl¨lfl

........—ÊO⁄flMs⁄fl

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´¤ ⁄fl ⁄ ⁄≠ O⁄fl¬}⁄fl ‘Ë•⁄fl @ƒ«V⁄tæ⁄·¤¡⁄•⁄ Æ⁄√~æʇM•⁄fl »⁄flfl◊⁄flŸ H ⁄ ⁄fl≠ —⁄‡_—⁄fl}⁄°•ÊæÊflM•⁄fl@¢Ê%Á“OʇMt•Êßfi´Ê.V⁄tæ⁄·¤¡⁄•⁄ »⁄flfl◊⁄flŸV⁄◊⁄ —¤§ ⁄»⁄ ⁄fl≠ ʇfit —ÊO⁄flMs⁄fl »⁄fl}⁄fl° …fl¨l ⁄fl≠‘Êfi◊⁄ƒfl —¤®⁄¥¿.24 V⁄MmÊV⁄◊⁄fl —Êfi¡⁄fl»¤V⁄ JM•⁄fl ¶ ⁄»¤V⁄fl»⁄‚¥•ÊM•⁄fl ~ÿøfl}⁄fl.60 …fl¨lflV⁄◊⁄fl —Êfi¬•¤V⁄ JM•⁄fl V⁄MmÊæ⁄·¤V⁄fl»⁄‚¥•ÊM•⁄fl ~ÿ¶•Ê.60 —ÊO⁄flMs⁄flV⁄◊⁄fl —Êfi¬•¤V⁄ JM•⁄fl …fl¨m¤V⁄fl»⁄‚¥•ÊM•⁄fl ~ÿ¶•Ê.

100 ¡⁄»⁄¡ÊVÊ ∂¡Êæʇfiy1 ¬M•⁄ 100 ¡⁄»⁄¡ÊW ⁄ —⁄MSÊ¿V⁄◊⁄ ⁄fl≠ @}⁄¿M}⁄ »ÊfiV⁄»¤W∂¡Êæ⁄flfl»⁄ 4 Êfi }⁄¡⁄V⁄~æ⁄fl 6 »⁄flM¶æ⁄fl ⁄fl≠ —⁄∞®Ê%æ⁄fl »⁄fl‡ƒO⁄nfi ⁄¡È O⁄Ms⁄fl’t•⁄¡⁄fl. B»⁄¡⁄fl ∂¡Êæ⁄flƒfl }ÊVÊ•⁄flOʇMs⁄—⁄»⁄flæ⁄fl»⁄ ⁄fl≠ OÊ◊⁄VÊ Oʇs⁄≈¤W•Ê. @•⁄ ⁄fl≠ …fl¨lflV⁄ÿVÊ »⁄fl}⁄fl°—ÊO⁄flMs⁄flV⁄ÿVÊ ∂•⁄≈¤øfl“ ∂¡Êøfl¬.

⁄M. ‘Ê—⁄¡⁄fl —ÊO⁄flMs⁄flV⁄◊⁄Δ« …fl¨lfl »⁄fl}⁄fl° —ÊO⁄flMs⁄flV⁄◊⁄Δ«1. @dæ⁄fl 95 —ÊO⁄flMs⁄fl 1 …fl¨lfl »⁄fl}⁄fl° 35 —ÊO⁄flMs⁄fl2. ‘⁄ ⁄≠ 100 —ÊO⁄flMs⁄fl3. eÊ“” 110 —ÊO⁄flMs⁄fl4. s¤¨—È 2 …fl¨lfl »⁄fl}⁄fl° 5 —ÊO⁄flMs⁄fl5. —⁄fl≈ÊfiR 1 …fl¨lfl »⁄fl}⁄fl° 45 —ÊO⁄flMs⁄fl6. ±⁄—⁄≠ 2 …fl¨lfl

B•Êfi ¬fi~ 100 ¡⁄»⁄¡ÊVÊ ∂¡Ê•⁄¡Ê ¨»⁄flΩ }⁄¡⁄V⁄~æ⁄flΔ« »Ê‡•⁄ƒ 5 —¤§ ⁄V⁄◊⁄flæ⁄·¤¬Vʃ« AW¡⁄∂‘⁄fl•⁄fl? O⁄Ms⁄fl’tøfl¬.

100 ¡⁄»⁄¡ÊVÊ ∂¡Êæ⁄flƒfl ¨»⁄flVÊ GŒ⁄flo —⁄»⁄flæ⁄fl ∑ÊfiO⁄fl?

E‘Ê

B ⁄fl≠ ∂¡Ê•⁄fl ʇfit¬.

$ nfi ⁄¡È —⁄»⁄flæ⁄fl ʇfis⁄fl»⁄¡⁄fl.

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Kl —⁄∞®Ê%2014 ¡⁄ BMfæʇfi´È HŒ⁄¿´È VÊfi»⁄fl”Δ« »⁄fl’◊Êæ⁄fl¡⁄ 800 …flfil¡È Kl•⁄ —⁄∞®Ê%æ⁄flΔ«∫¤V⁄»⁄’“•⁄ Oʃ»⁄‚¥ P√fis¤ Æ⁄lflV⁄◊⁄ ‘Ê—⁄¡⁄fl »⁄fl}⁄fl° —⁄»⁄flæ⁄fl»⁄ ⁄fl≠ OÊ◊⁄W ⁄ Æ⁄noæ⁄flΔ«¨fis⁄≈¤W•Ê.

$ @}⁄¿M}⁄ O⁄t»Êfl —⁄»⁄flæ⁄fl»⁄ ⁄fl≠ }ÊVÊ•⁄flOʇMs⁄»⁄¡⁄fl æ⁄·¤¡⁄fl? —⁄»⁄flæ⁄fl»ÊŒ⁄flo?

$ @}⁄¿M}⁄ ‘Ê ⁄fl` —⁄»⁄flæ⁄fl»⁄ ⁄fl≠ }ÊVÊ•⁄flOʇMs⁄»⁄¡⁄fl æ⁄·¤¡⁄fl? —⁄»⁄flæ⁄fl»ÊŒ⁄flo?

$ O⁄⁄t»Êfl —⁄»⁄flæ⁄fl¶M•⁄ ‘Ê_` ⁄ —⁄»⁄flæ⁄flOÊQ GM∂ ¬fi~æ⁄flΔ« Æ⁄noæ⁄fl ⁄fl≠ O⁄√…flfiO⁄¬“¬.

$ Æ⁄noæ⁄flΔ«¡⁄fl»⁄ —⁄»⁄flæ⁄fl»⁄ ⁄fl≠ —ÊO⁄flMs⁄flV⁄◊¤W ∂¡Êøfl¬.

O⁄√»⁄fl‘Ê—⁄¡⁄fl —⁄»⁄flæ⁄fl—⁄MSÊ¿

1. »¤VȻʇfiøfl 2 …fl¨lfl »⁄fl}⁄fl° 05 —ÊO⁄flMs⁄fl

2. —⁄flŒ⁄»⁄fl •Êfi… 2 …fl¨lfl »⁄fl}⁄fl° 01 —ÊO⁄flMs⁄fl

3. ¬V¤—⁄ d´È—⁄∑Èπ Œ⁄‡…fl 2 …fl¨lfl »⁄fl}⁄fl° 03 —ÊO⁄flMs⁄fl

4. ƒ»⁄·¤t ¡¤d 2 …fl¨lfl »⁄fl}⁄fl° 08 —ÊO⁄flMs⁄fl

5. nMlfl ƒ‡O⁄ 1 …fl¨lfl »⁄fl}⁄fl° 59 —ÊO⁄flMs⁄fl

6. @n%V⁄ƒ @∂}⁄°% ⁄ V⁄æ⁄flM~O⁄ 2 …fl¨lfl »⁄fl}⁄fl° 06 —ÊO⁄flMs⁄fl

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À⁄fl∫⁄ Æ⁄√æ⁄·¤yeʇfi¨ »⁄fl}⁄fl° O⁄fllflM∂•⁄»⁄¡⁄fl Æ⁄√æ⁄·¤y ‘ʇfiV⁄fl~°•¤ß¡Ê.

24 V⁄MmÊæʇ◊⁄VÊ»⁄fl◊ÊV¤ƒ Ƥ√¡⁄M∫⁄»¤V⁄Δ•ÊæÊflM•⁄fl‘Êfi◊⁄fl~°•¤ß¡Ê

Æ⁄√æ⁄·¤{O⁄¡⁄ V⁄»⁄fl ⁄OÊQ. BM¶ ⁄»⁄flMV⁄◊⁄ ƒO⁄–¶ fiÆÈ GOÈ”Æ⁄√—È”

15 V⁄MmÊVÊ »⁄·¤}⁄√»Êfi‘ʇ¡⁄s⁄Δ¡⁄fl»⁄‚¥•⁄fl.

JM•⁄fl ¶ ⁄•⁄ 24V⁄MmÊV⁄◊⁄ ⁄fl≠ ¡¤~√ 12V⁄MmÊøflM•⁄ »⁄fl®¤¿‘⁄≠12 V⁄MmÊæ⁄fl»⁄¡Ê⁄VÊ amGM•⁄‡ »⁄fl®¤¿‘⁄≠ 12V⁄MmÊøflM•⁄ ¡¤~√ 12V⁄MmÊæ⁄fl»⁄¡ÊVÊ pmGM•⁄‡ ‘Êfi◊⁄fl»⁄¡⁄fl.

¡ÊÁΔ ⁄—⁄»⁄flæ⁄fl»⁄ ⁄fl≠24 V⁄MmÊV⁄◊⁄Δ«‘Êfi◊⁄fl»⁄‚¥•⁄fl.

‘⁄V⁄Δ ⁄ 12 V⁄MmÊæʇM¶VÊ3 ⁄fl≠ O⁄‡t“•¤V⁄ “V⁄fl»⁄‚¥•Êfi15 V⁄MmÊ. @M•⁄¡Ê »⁄fl®¤¿‘⁄≠•⁄

⁄M}⁄¡⁄•⁄ 3 V⁄MmÊ15 V⁄MmÊæʇfi?

V⁄tæ⁄·¤¡⁄•⁄Δ«¡⁄fl»⁄‚¥•⁄fl12 V⁄MmÊæ⁄fl»⁄¡ÊV⁄ƒ«»Êfi.

24 V⁄MmÊV⁄◊⁄ƒ«»ÊfiJM•⁄fl ¶»⁄—⁄

¡¤~√ 12 V⁄MmÊøflM•⁄»⁄fl¡⁄fl¶ ⁄ ¡¤~√ 12 V⁄MmÊæ⁄fl

»⁄¡ÊW ⁄ 24 V⁄MmÊV⁄◊⁄ ⁄fl≠JM•⁄fl ¶ ⁄»¤WÆ⁄¬V⁄{—⁄fl}¤°¡Ê.

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∂•⁄Δ“ ∂¡Êæʇfiy……®⁄ —ÊofiŒ⁄ ⁄flV⁄ÿM•⁄ ‘ʇ¡⁄s⁄fl»⁄ ¡ÊÁƒflV¤tV⁄◊⁄ —⁄»⁄flæ⁄fl»⁄ ⁄fl≠ Æ⁄noæ⁄flΔ« fis⁄≈¤W•Ê. fit¡⁄fl»⁄¡ÊÁƒflV¤tV⁄◊⁄ —⁄»⁄flæ⁄fl»⁄ ⁄fl≠ am/pm GM∂ ¬fi~VÊ ∂•⁄Δ“ ∂¡Êøfl¬.

V¤tæ⁄fl V¤tæ⁄fl ‘Ê—⁄¡⁄fl ‘ʇ¡⁄s⁄fl»⁄ am/pm⁄M∂√ —⁄»⁄flæ⁄fl

16307 AƒÆ⁄‚ ∞¡⁄hfl - O⁄y‡|¡⁄fl GOÈ”ÆÊ√—È 14:55

16042 AƒÆ⁄‚ ∞¡⁄hfl - Ê Ê≠>Á GOÈ”ÆÊ√—È 16:00

12977 G´¤%O⁄fl◊⁄M - @fΩfi¡È »⁄fl¡⁄fl—¤V⁄¡È GOÈ”ÆÊ√—È 20:05 8:05 pm

16359 G´¤%O⁄fl◊⁄M - Ƥl≠ GOÈ”ÆÊ√—È 23:00

12625 ~¡⁄fl»⁄ ⁄M}⁄Æ⁄‚¥¡⁄ - •Ê‘⁄Δ OÊfi¡⁄◊⁄ GOÈ”ÆÊ√—È 11:15

16302 ~¡⁄fl»⁄ ⁄M}⁄Æ⁄‚¥¡⁄ - Àʇ ⁄‡%¡⁄fl »Êfiz¤sÈ GOÈ”ÆÊ√—È 5:00

Æ⁄noæ⁄flΔ« ∂—⁄fl”V⁄◊⁄ —⁄»⁄flæ⁄fl»⁄ ⁄fl≠ am/pm V⁄◊⁄Δ« fis⁄≈¤W•Ê. @»⁄‚¥V⁄◊⁄ ⁄fl≠ 24 V⁄MmÊV⁄◊⁄ ⁄fl≠}ʇfi¬—⁄fl»⁄ V⁄tæ⁄·¤¡⁄•⁄ —⁄»⁄flæ⁄fl»⁄ ¤≠W »⁄·¤t ∂•⁄Δ“ ∂¡Êøfl¬.

∂—⁄fl” ‘ʇfiV⁄fl»⁄ •¤¬ ‘ʇ¡⁄s⁄fl»⁄ 24 V⁄MmÊæ⁄fl—⁄»⁄flæ⁄fl V⁄tæ⁄·¤¡⁄•⁄Δ«

~¡⁄fl»⁄ ⁄M}⁄Æ⁄‚¥¡⁄ - G´¤%O⁄fl◊⁄M 11:15 am

~¡⁄fl»⁄ ⁄M}⁄Æ⁄‚¥¡⁄ - Oʇfi¬hflOʇQfisÈ 6:30 am

V⁄fl¡⁄fl»¤æ⁄fl‡¡⁄fl - O⁄y‡|¡⁄fl 1:40 pm 13:40

Oʇfi¬hflOʇQfisÈ - ƤƒO¤QsÈ 3:45 pm

~√À⁄‡¡⁄fl - ~¡⁄fl»⁄ ⁄M}⁄Æ⁄‚¥¡⁄ 11:40 pm

AƒÆ⁄‚ ∞æ⁄fl - Oʇfi¬hflOʇQfisÈ 8:05 am

18 V⁄MmÊVÊ ‘ʇ¡⁄s⁄fl»⁄‚¥•ÊM•⁄¡Ê6 pm GM•⁄ƒ«»Êfi?

‘¤V¤•⁄¡Ê20:30 A•⁄¡Ê‡fi?

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¨»⁄flΩ À¤≈Ê Jlflo GŒ⁄flo V⁄MmÊV⁄◊⁄ O¤ƒ O¤æ⁄fl% ¨»⁄%’—⁄fl}⁄°•Ê?

»⁄fl®¤¿‘⁄≠•⁄ El•⁄ —⁄»⁄flæ⁄fl »⁄fl}⁄fl° G¡⁄s⁄fl ‘ʇ~° ⁄ …¡¤»⁄fl•⁄ —⁄»⁄flæ⁄fl

B»⁄‚¥V⁄◊⁄ ⁄fl≠ ∏lo¡Ê Jlflo O⁄ΔO¤ —⁄»⁄flæ⁄fl GŒ⁄flo?

C ´¤¿æ⁄fl∑Ê≈Ê @MV⁄tæ⁄flflJM•⁄fl ¶ ⁄•⁄Δ« GŒ⁄flo V⁄MmÊV⁄◊⁄O¤ƒ O¤æ⁄·¤% ⁄¬—⁄fl}⁄°•Ê?

´¤ ⁄fl O⁄Ms⁄flOʇMs⁄ …®¤ ⁄

∑¤¿MPVÊ

À⁄ »¤¡⁄•⁄M•⁄fl ∑¤¿MOÈ GŒ⁄flo V⁄MmÊV⁄◊⁄ O¤ƒ O¤æ⁄fl% ¨»⁄%’—⁄fl}⁄°•Ê?

Dÿ•⁄ ¶ ⁄V⁄◊⁄≈ʇ«fi?

À¤≈ÊVʨ»⁄flΩ À¤≈Êæ⁄flfl O¤æ⁄·¤% ⁄¬—⁄fl»⁄ —⁄»⁄flæ⁄fl

$ @•⁄ ⁄fl≠ am/pm VÊ ∂•⁄Δ“ ∂¡Êøfl¬.

$ 24 V⁄MmÊæ⁄fl ⁄fl≠ }ʇfi¬—⁄fl»⁄ V⁄tæ⁄·¤¡⁄•⁄≈¤«•⁄¡Ê‡fi?

´¤¿æ⁄fl ∑Ê≈Ê @MV⁄t

12 V⁄MmÊV⁄◊⁄V⁄tæ⁄·¤¡⁄•⁄ V⁄MmÊæ⁄fl

»⁄flfl◊⁄flŸ JM•⁄fl¶ ⁄•⁄Δ« GŒ⁄flo —⁄ƒ

—⁄fl}⁄fl°»⁄‚¥•⁄fl?

O¤æ⁄·¤% ⁄¬—⁄fl»⁄ —⁄»⁄flæ⁄fl∑ÊÿVÊX 8 ¬M•⁄

»⁄fl®¤¿‘⁄≠ 12 ¡⁄»⁄¡ÊVÊ—⁄MeÊ 4 ¬M•⁄¡¤~√ 8 ¡⁄»⁄¡ÊVÊ

—ʇfi»⁄fl»¤¡⁄¶M•⁄À⁄flO⁄√»¤¡⁄•⁄ »⁄¡ÊVÊ10 am 4 pm

A¶}⁄¿»¤¡⁄ ¡⁄e¤¶´⁄À⁄ »¤¡⁄: 10 am˛2 pm

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Oʃ—⁄•⁄ —⁄»⁄flæ⁄fl

O¤S¤%´Ê Oʃ—⁄ ¨»⁄%’—⁄•⁄ —⁄⁄»⁄flæ⁄fl»⁄´⁄fl≠ am/pm V⁄◊⁄Δ« •¤RΔ—⁄fl»⁄‚¥•⁄fl ‘ÊfiVÊ?

Æ⁄√~æʇM•⁄fl Ã≤¥o ⁄ƒ‡« O¤æ⁄·¤% ⁄¬—⁄fl»⁄ —⁄»⁄flæ⁄fl GŒ⁄flo?

…À¤√M~ —⁄»⁄flæ⁄fl»⁄ ⁄fl≠ O⁄◊Ê•⁄¡Ê Æ⁄√~æʇM•⁄fl Ã≤¥o ⁄ƒ‡« GŒ⁄flo —⁄»⁄flæ⁄fl Oʃ—⁄ »⁄·¤s⁄fl~°•¤ß¡Ê?

‘Ê ⁄fl` —⁄»⁄flæ⁄fl Oʃ—⁄ »⁄·¤s⁄fl»⁄‚¥•⁄fl æ⁄·¤»⁄ Ã≤¥o ⁄ O¤…fl%O⁄¡⁄fl?

´¤ ⁄fl ⁄ ⁄≠ O⁄fl¬}⁄fl ‘Ë•⁄fl @ƒ«

O¤æ⁄fl% ¨»⁄%’—⁄fl»⁄ —⁄»⁄flæ⁄fl»⁄ ⁄fl≠ O⁄Ms⁄fl’tæ⁄flƒfl —¤®⁄¥¿»¤øfl}⁄fl

24 V⁄MmÊæ⁄fl V⁄tæ⁄·¤¡⁄•⁄Δ« —⁄»⁄flæ⁄fl»⁄ ⁄fl≠ ∂¡Êæ⁄flƒfl —¤®⁄¥¿»¤øfl}⁄fl

12 V⁄MmÊæ⁄fl V⁄tæ⁄·¤¡⁄•⁄Δ« am, pm DÆ⁄æʇfiW“ •¤RΔ“•Ê

G¡⁄s⁄fl —⁄»⁄flæ⁄flV⁄◊ʇ◊⁄W ⁄ —⁄»⁄flæ⁄fl•⁄ @M}⁄¡⁄ GŒÊoM•⁄fl O⁄Ms⁄fl’t•Ê

JM•⁄fl —⁄»⁄flæ⁄fl¶M•⁄ Ã`}⁄ —⁄»⁄flæ⁄fl»⁄ ⁄fl≠ O⁄◊Ê•⁄fl O⁄Ms⁄fl’tæ⁄flƒfl —¤®⁄¥¿»¤øfl}⁄fl

JM•⁄fl O¤S¤%´Êæ⁄fl Oʃ—⁄•⁄ —⁄»⁄flæ⁄fl»⁄´⁄fl≠ G¡⁄s⁄fl Ƥÿ (ñÈo) V⁄◊¤WO⁄√…flfiO⁄¬—⁄≈¤W•Ê.

G¡⁄s⁄ Êfi Ã≤¥o ⁄Δ«2 pm M•⁄

9.30 pm »⁄¡ÊVÊOʃ—⁄•⁄ —⁄»⁄flæ⁄fl.

35 …fl¨mÈ…À¤√M~ —⁄»⁄flæ⁄fl

6 am ¨M•⁄ 2 pm ⁄»⁄¡ÊVÊ »Ê‡•⁄ƒ ñÈo45 …fl¨lfl …À¤√M~

—⁄»⁄flæ⁄fl

O¤S¤% Êæ⁄fl Jlflo Oʃ—⁄•⁄ —⁄»⁄flæ⁄fl am/pm ⁄Δ«

................¬M•⁄................ »⁄¡ÊVÊ24 V⁄MmÊæ⁄fl ⁄fl≠ }ʇfi¬—⁄fl»⁄V⁄tæ⁄·¤¡⁄•⁄Δ« V⁄fl¡⁄fl~“•⁄¡Ê‡fi?

Jlflo GŒ⁄flo V⁄MmÊV⁄◊⁄ O¤ƒ O¤S¤% ÊOʃ—⁄ ¨»⁄%’—⁄fl»⁄‚¥•⁄fl?

................¬M•⁄................ »⁄¡ÊVÊ

................¬M•⁄................ »⁄¡ÊVÊ

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60 …fl¨nWM}⁄‘Ê ¤`•⁄¡Ê @•⁄ ⁄fl≠

V⁄MmÊ »⁄fl}⁄fl° …fl¨m¤W∂•⁄≈¤øfl—⁄∂‘⁄fl•⁄fl.

∑Êfi¡Ê …®¤ ⁄V⁄◊⁄‡B»Êæ⁄flƒ«»Êfi?

6.15am M•⁄6.15 pm »⁄¡ÊVÊ.»⁄fl}⁄fl° 9.30 ¡⁄»⁄¡ÊVÊ

—⁄O⁄%—È—⁄O⁄%—È O⁄≈¤…•⁄´¤•⁄ ¡¤dfl»⁄‚¥ }⁄´⁄≠ —ÊÁO⁄≈Èæ⁄fldk»⁄ ⁄fl≠ 6:15am VÊ A¡⁄Mª“ 9.30pm VÊOʇ´ÊVʇÿ“•⁄´⁄fl. ‘¤V¤•⁄¡Ê @»⁄´⁄fl JM•⁄fl¶ ⁄•⁄Δ« GŒ⁄flo V⁄MmÊV⁄◊⁄ O¤ƒ —ÊÁO⁄≈È Kt—⁄fl»⁄ ⁄fl?

$ H Ê≈¤« »⁄·¤’~V⁄◊⁄ ⁄fl≠ ¨fis⁄≈¤W•Ê?

$ am, pm GM∂ ¬fi~æ⁄flΔ« —⁄»⁄flæ⁄fl»⁄ ⁄fl≠¨fit•¤ß¡Ê.

$

‘ÊfiVÊ O⁄Ms⁄fl’tæ⁄fl∂‘⁄fl•⁄fl?

$ »Ê‡•⁄ƒfl am ⁄Δ«¡⁄fl»⁄ —⁄»⁄flæ⁄fl»⁄ ⁄fl≠¨¬fiO⁄–zÊ »⁄·¤s⁄fl»⁄.6.15 am ¨M•⁄ 7am »⁄¡ÊVÊ - 45 …fl¨lfl7 am ¨M•⁄ »⁄fl®¤¿‘⁄≠ 12 ¡⁄»⁄¡ÊVÊ - 5 V⁄MmÊV⁄◊⁄flam ⁄Δ«¡⁄fl»⁄ Jlflo —⁄»⁄flæ⁄fl - 5 V⁄MmÊ »⁄fl}⁄fl° 45 …fl¨lfl

$ B ⁄fl≠ pm ⁄fl≠ Æ⁄¬ÃfiΔ—Ê‡fiy.»⁄fl®¤¿‘⁄≠ 12 ¬M•⁄ 9.30 pm »⁄¡ÊVÊ9 V⁄MmÊ »⁄fl}⁄fl° 30 …fl¨lfl

B•⁄ ⁄fl≠ ⁄»⁄flVÊ ’fiVÊ ∂•⁄≈¤øfl“ ∂¡Êæ⁄fl∂‘⁄fl•⁄fl.6.15 am ¨M•⁄⁄ 9.30 pm »⁄¡ÊVÊ

am ⁄Δ«¡⁄fl»⁄ —⁄»⁄flæ⁄fl 5 V⁄MmÊV⁄◊⁄fl »⁄fl}⁄fl° 45 …fl¨lflV⁄◊⁄flpm ⁄Δ«¡⁄fl»⁄ —⁄»⁄flæ⁄fl 9 V⁄MmÊV⁄◊⁄fl »⁄fl}⁄fl° 30 …fl¨lflV⁄◊⁄fl

14 V⁄MmÊV⁄◊⁄fl »⁄fl}⁄fl° 75 …fl¨lflV⁄◊⁄fl

75 …fl¨lfl @M•⁄¡Ê 1 V⁄MmÊ »⁄fl}⁄fl° 15 …fl¨lflV⁄◊⁄fl

14 V⁄MmÊV⁄◊⁄fl

1 V⁄MmÊ »⁄fl}⁄fl° 15 …fl¨lflV⁄◊⁄fl

15 V⁄MmÊV⁄◊⁄fl »⁄fl}⁄fl° 15 …fl¨lflV⁄◊⁄fl GM•⁄fl “V⁄fl»⁄‚¥•⁄fl.

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¡¤dfl… ⁄ —⁄O⁄%—È O⁄MÆÊ æ⁄flfl Æ⁄loy•⁄ —⁄O⁄%—È Æ⁄√•⁄À⁄% ⁄»⁄ ⁄fl≠ Oʇ ÊVʇÿ“»⁄fl}ʇ°M•⁄fl Æ⁄loyOÊQ Æ⁄√æ⁄·¤{“}⁄fl. 10.45 pm VÊ ‘ʇ¡⁄l B»⁄¡⁄fl 7.30 amVÊ ‘ʇ—⁄ —⁄§◊⁄OÊQ }⁄ƒflØ•⁄¡⁄fl. ‘¤V¤•⁄¡Ê Æ⁄√æ⁄·¤yOÊQ }ÊVÊ•⁄flOʇMs⁄ —⁄»⁄flæ⁄flGŒ⁄flo?

Oʇæ⁄flM∂}⁄‡°¬¨M•⁄ 22.30OÊQ ‘ʇ¡⁄s⁄fl»⁄ JM•⁄fl ∂—⁄fl” »⁄fl¡⁄fl¶ ⁄ ∑ÊÿVÊX4.15 OÊQ Oʇfi¬hflOʇQfitVÊ }⁄ƒflÆ⁄‚¥»⁄‚¥•⁄fl. Æ⁄√æ⁄·¤yOÊQ }ÊVÊ•⁄flOʇMs⁄ —⁄»⁄flæ⁄flGŒ⁄flo?

$ ‘ÊfiVÊ O⁄Ms⁄fl’tæ⁄fl∂‘⁄fl•⁄fl?$ H Ê≈¤« »⁄·¤’~V⁄◊⁄ ⁄fl≠ Oʇno•¤ß¡Ê?$ 24 V⁄MmÊV⁄◊⁄ V⁄tæ⁄·¤¡⁄•⁄ —⁄»⁄flæ⁄fl»⁄ ⁄fl≠ Oʇno•¤ß¡Ê.$ ¨fit•⁄ —⁄»⁄flæ⁄fl»⁄ ⁄fl≠ am, pm GM∂ ¬fi~VÊ ∂•⁄≈¤øfl“•⁄¡Ê‡fi?

$ 22.30 GM∂fl»⁄‚¥•⁄fl 10.30 pm @ƒ«»Êfi? ‘¤V¤•⁄¡Ê

10.30 pm M•⁄ ¡¤~√ 12 V⁄MmÊæ⁄fl»⁄¡ÊVÊ � JM•⁄fl V⁄MmÊ »⁄fl}⁄fl°30 …fl¨lfl

¡¤~√ 12 V⁄MmÊøflM•⁄ 4.15 am »⁄¡ÊVÊ � ´¤ƒflQ V⁄MmÊ »⁄fl}⁄fl°15 …fl¨lfl

1 V⁄MmÊ »⁄fl}⁄fl° 30 …fl¨lflV⁄◊⁄fl4 V⁄MmÊV⁄◊⁄fl »⁄fl}⁄fl° 15 …fl¨lflV⁄◊⁄fl

´¤ ⁄fl O⁄Ms⁄flOʇMs⁄ …®¤ ⁄

10:30 pm ¨M•⁄JM•Ê‡M•⁄flV⁄MmÊæ⁄flM}⁄Ê

O⁄‡t“ʇfit•⁄¡⁄‡—¤O⁄fl

∑ÊMV⁄◊⁄‡¬¨M•⁄ 22.15 OÊQ ‘ʇ¡⁄s⁄fl»⁄ —⁄‡Æ⁄¡È ±¤—Èo ∂—⁄fl” »⁄fl¡⁄fl¶ ⁄ ∑Ê◊⁄VÊX 6.45 OÊQO⁄y‡|¬VÊ }⁄ƒflÆ⁄‚¥»⁄‚¥•⁄fl. C ∂—⁄fl” Æ⁄√æ⁄·¤yOÊQ }ÊVÊ•⁄flOʇMs⁄ —⁄»⁄flæ⁄fl GŒ⁄flo?

—⁄‘⁄ƤqV⁄◊⁄fl O⁄Ms⁄flOʇMs⁄ …®¤ ⁄

´¤ ⁄fl O⁄Ms⁄flOʇMs⁄ …®¤ ⁄—⁄‘⁄ƤqV⁄◊⁄fl O⁄Ms⁄flOʇMs⁄ …®¤ ⁄

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∑ÊÿVÊX 9 V⁄MmÊVÊ ‘ʇ¡⁄l Æ⁄√»¤—⁄•⁄ ∂—⁄fl” »⁄fl¡⁄fl¶ ⁄ ∑ÊÿVÊX 9 V⁄MmÊVÊ D•ÊßfiÓ•⁄ —⁄§◊⁄OÊQ}⁄ƒflØ}⁄fl. ‘¤V¤•⁄¡Ê Æ⁄√æ⁄·¤yOÊQ }ÊVÊ•⁄flOʇMs⁄ —⁄»⁄flæ⁄fl GŒ⁄flo?

…•⁄fl¿}È Oʇ¡⁄}Êæ⁄fl O¤¡⁄y 8 am ¨M•⁄ 14 V⁄MmÊV⁄◊⁄ O¤ƒ …•⁄fl¿}È ¨æ⁄flM}⁄√y»⁄ ⁄fl≠HÆ⁄%t—⁄≈¤øfl}⁄fl. ‘¤V¤•⁄¡Ê …•⁄fl¿}È ¨æ⁄flM}⁄√y Oʇ ÊVʇ◊⁄flŸ»⁄ —⁄»⁄flæ⁄fl æ⁄·¤»⁄‚¥•⁄fl?

O¤¿≈ÊMs⁄¡È ʇfisʇfiy$ O¤¿≈ÊMs⁄¬ ⁄Δ« æ⁄·¤»Ê≈¤« »⁄Œ⁄%V⁄◊⁄ ⁄fl≠ •¤RΔ—⁄≈¤W•Ê?

À⁄O⁄ »⁄Œ⁄%

$ C »⁄Œ⁄%V⁄◊⁄ ~MV⁄◊⁄flV⁄◊⁄fl »⁄fl}⁄fl° Æ⁄√~æʇM•⁄fl ~MV⁄ÿ ⁄¶ ⁄V⁄◊⁄ —⁄MSÊ¿æ⁄fl ⁄fl≠ »⁄W%fiO⁄¬“ ∂¡Êøfl¬.

$ JM•⁄fl »⁄Œ⁄%•⁄Δ« Jlflo GŒ⁄flo ¶ ⁄V⁄ÿ»Ê?$ O¤¿≈ÊMs⁄¬ ⁄Δ« …ª ⁄≠ »⁄Œ⁄% O⁄√»⁄flV⁄◊⁄ }¤¬fiO⁄flV⁄◊⁄ ⁄fl≠ GΔ«

•¤RΔ—⁄≈¤W•Ê?$ »⁄flflM¶ ⁄ »⁄Œ⁄%•⁄ d ⁄»⁄¬ 1 Êfi }¤¬fiO⁄fl æ⁄·¤»⁄ ¶»⁄—⁄?

Æ⁄noæ⁄fl ⁄fl≠ Æ⁄„~%Vʇÿ—ʇfiyÆ⁄√æ⁄·¤yOÊQ }ÊVÊ•⁄flOʇMs⁄ —⁄»⁄flæ⁄fl»⁄ ⁄fl≠ O⁄Ms⁄fl’t•⁄fl Æ⁄noæ⁄fl ⁄fl≠ Æ⁄„~%Vʇÿ“¬.

V¤tæ⁄fl ¡ÊÁƒflV¤tæ⁄fl ‘Ê—⁄¡⁄fl ‘ʇ¡⁄s⁄fl»⁄ }⁄ƒflÆ⁄‚¥»⁄⁄M∂¡È —⁄»⁄flæ⁄fl —⁄»⁄flæ⁄fl

16650 ´¤V⁄¡ÈOʇfi…≈È - »⁄flMV⁄◊⁄‡¡⁄flGOÈ”ÆÊ√—È 4:20 20:25

22607 G´¤%O⁄fl◊⁄M - ∑ÊMV⁄◊⁄‡¡⁄fl GOÈ”ÆÊ√—È” 17:00 4:20

12623 Ê Ê≠>Á - ~¡⁄fl»⁄ ⁄M}⁄Æ⁄‚¥¡⁄ »ÊflÁ≈È 19:45 11:45

16347 ~¡⁄fl»⁄ ⁄M}⁄Æ⁄‚¥¡⁄ - »⁄flMV⁄◊⁄‡¡⁄fl GOÈ”ÆÊ√—È 20:40 10:55

12081 O⁄y‡|¡⁄fl - ~¡⁄fl»⁄ ⁄M}⁄Æ⁄‚¥¡⁄ 9 V⁄MmÊV⁄◊⁄fld ⁄À⁄}¤∏™ GOÈ”ÆÊ√—È 4:45

56650 O⁄y‡|¡⁄fl Oʇæ⁄flM∂}⁄‡°¡⁄fl —⁄‡Æ⁄¡È ±¤—Èo 5:45

Æ⁄√æ⁄·¤yOÊQ ‘Ê ⁄fl` —⁄»⁄flæ⁄fl }ÊVÊ•⁄flOʇMs⁄ ¡ÊÁƒflV¤t æ⁄·¤»⁄‚¥•⁄fl? O⁄t»Êflæʇfi?

»⁄fl¡⁄fl¶»⁄—⁄

7 V⁄MmÊV⁄◊⁄fl»⁄fl}⁄fl° 40…fl¨lflV⁄◊⁄fl

Æ⁄√æ⁄·¤yOÊQ}ÊVÊ•⁄flOʇMs⁄

—⁄»⁄flæ⁄fl

»⁄fl¡⁄fl¶»⁄—⁄

»⁄fl¡⁄fl¶»⁄—⁄

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?16 17

»Ê‡}⁄°»Ê‡•⁄≈¤WO¤¿≈ÊMs⁄¡È}⁄æ⁄·¤¬“•⁄flßæ⁄·¤¡ÊM•⁄fl

Vʇ~°•ÊæÊflfi?

d´⁄Ω¶´⁄¨»⁄flΩ d ⁄Ω ¶´¤MO⁄ æ⁄·¤»⁄‚¥•⁄fl?

@•⁄fl C »⁄Œ⁄%•⁄Δ« æ⁄·¤»⁄ ¶»⁄—⁄?C »⁄Œ⁄% ¨»⁄flΩ d ⁄Ω ¶´¤MO⁄»⁄‚¥ Oʇƒ«»⁄Œ⁄%•⁄æ⁄·¤»⁄ }¤¬fiP ⁄≈¤«W•Ê?

B•Êfi ¬fi~ »⁄flΩ »⁄fl Êæ⁄fl B}⁄¡⁄ —⁄•⁄—⁄¿¡⁄ d ⁄Ω¶´¤MO⁄»⁄⁄ ⁄fl≠O⁄Ms⁄fl’t•⁄fl ∂¡Êøfl¬.

O⁄√»⁄fl —⁄•⁄—⁄¿¡⁄fl d´⁄Ω¶´¤MO⁄ C »⁄Œ⁄%•⁄ Oʇƒ« »⁄Œ⁄%—⁄MSÊ¿ ¶»⁄—⁄ ~MV⁄◊⁄fl, }¤¬fiO⁄fl

1 @dg2 @fg3 }⁄M•Ê45

BMW«fiŒÈ »⁄Œ⁄% AV⁄—Èo 15 JOʇofi∂¡È 2 ⁄»ÊM∂¡È 14

À⁄O⁄ »⁄Œ⁄%Oʇƒ« »⁄Œ⁄%’f¡⁄ »⁄Œ⁄%

»Ê‡}⁄°»Ê‡•⁄ƒflO¤¿≈ÊMs⁄¬´⁄¡⁄‡Æ⁄¡ÊfiŒÊ

}⁄æ⁄·¤¬“•⁄»⁄¡⁄flW√fiVʇfi¬æ⁄fl—È

»⁄·¤Æ¤%Æ⁄

C »⁄Œ⁄%•⁄ BMW«fiŒÈ }¤¬fiO⁄flV⁄◊⁄ B}⁄¡⁄ »⁄Œ⁄% O⁄√»⁄flV⁄◊⁄ }¤¬fiO⁄flV⁄◊⁄ ⁄fl≠ OʇfizÊV⁄◊⁄Δ«∂¡Êøfl¬.

$ JM•⁄fl O¤¿≈ ÊMs ⁄¬´ ⁄ ∫¤V ⁄» ⁄´ ⁄ fl ≠Oʇs⁄≈¤W•Ê. Æ⁄√À¤≠ _‘Ê≠æ⁄fl ⁄fl≠ ‘¤P¡⁄fl»⁄OʇfizÊæʇ◊⁄W ⁄ }¤¬fiO⁄fl GŒ⁄flo?

$ C »⁄Œ⁄%•⁄ æ⁄·¤»⁄ æ⁄·¤»⁄ ~MV⁄◊⁄flV⁄◊⁄Δ« 5 A¶}⁄¿»¤¡⁄V⁄ÿ»Ê?

$ 1 Êfi }¤¬fiO⁄fl ∂fl®⁄»¤¡⁄»¤•⁄¡Ê 28 Êfi }¤¬fiO⁄fl æ⁄·¤»⁄ ¶»⁄—⁄?

$ 15 Êfi }¤¬fiO⁄fl A¶}⁄¿»¤¡⁄ ∂¡⁄fl»⁄ GŒ⁄flo ~MV⁄◊⁄flV⁄◊⁄fl C»⁄Œ⁄%•⁄Δ«»Ê? A ~MV⁄◊⁄flV⁄◊⁄ 1 Êfi }¤¬fiO⁄fl æ⁄·¤»⁄¶»⁄—⁄»¤W¡⁄∂‘⁄fl•⁄fl?

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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

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

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

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

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

366 ¶ ⁄V⁄◊⁄fl

$ 2016 ±Ê∂√»⁄¬æ⁄fl O¤¿≈ÊMs⁄¡È ´Ê‡fit¶¡⁄ƒ«»Êfi. »⁄flflM¶´⁄ @©O⁄ »⁄Œ⁄% æ⁄·¤»⁄B—⁄…æ⁄·¤W¡⁄∂‘⁄fl•⁄fl? A »⁄Œ⁄%•⁄ ±Ê∂√»⁄¬ ~MV⁄ÿ ⁄ O¤¿≈ÊMs⁄¡⁄ ⁄fl≠ }⁄æ⁄·¤¬“¬. (2020±Ê∂√»⁄¬ 1 À⁄ »¤¡⁄»¤W•Ê)

A®⁄fl¨O⁄ O¤¿≈ÊMs⁄¡⁄ ⁄fl≠Æ⁄¬Œ⁄Q¬“•⁄flß

d‡Δæ⁄fl—È “fi—⁄¡È¡¤d´¤W¡⁄fl»⁄ ⁄fl.

@»⁄flΩ, 2012 ¡⁄ƒ‡«2016 ¡⁄ƒ‡«

±Ê∂√»⁄¬æ⁄flΔ« 29¶ ⁄V⁄ÿ»Êæ⁄flƒ«»Êfi?

4 »⁄Œ⁄%V⁄ÿVʇ»⁄ÊflΩ±Ê∂√»⁄¬æ⁄flΔ« 29

¶ ⁄V⁄ÿ¡⁄fl»⁄‚¥•⁄fl. A »⁄Œ⁄%•⁄Δ«Jlflo 366 ¶ ⁄V⁄ÿ¡⁄fl»⁄‚¥»⁄‚¥.

@©O⁄ »⁄Œ⁄%»⁄ƒ«•⁄»⁄Œ⁄% Ƥ√¡⁄Mª—⁄fl»⁄‚¥•⁄fl»⁄fl}⁄fl° Oʇ ÊVʇ◊⁄flŸ»⁄‚¥•⁄fl

JM•Êfi ¶»⁄—⁄AW¡⁄fl}⁄°•Ê.

366 ¶ ⁄V⁄ÿ¡⁄fl»⁄»⁄Œ⁄%»⁄ ⁄fl≠ @©O⁄ »⁄Œ⁄%

GM•⁄fl ‘Êfi◊⁄fl}¤°¡Ê.

±Ê∂√»⁄¬ 2012±Ê∂√»⁄¬ 2013 ±Ê∂√»⁄¬ 2014

±Ê∂√»⁄¬ 2015±Ê∂√»⁄¬ 2016

SUN MON TUE WED THU FRI SATA¶}⁄¿ —ʇfi»⁄fl »⁄flMV⁄◊⁄ ∂fl®⁄ V⁄fl¡⁄fl À⁄flO⁄√ À⁄

SUN MON TUE WED THU FRI SATA¶}⁄¿ —ʇfi»⁄fl »⁄flMV⁄◊⁄ ∂fl®⁄ V⁄fl¡⁄fl À⁄flO⁄√ À⁄

SUN MON TUE WED THU FRI SATA¶}⁄¿ —ʇfi»⁄fl »⁄flMV⁄◊⁄ ∂fl®⁄ V⁄fl¡⁄fl À⁄flO⁄√ À⁄

SUN MON TUE WED THU FRI SATA¶}⁄¿ —ʇfi»⁄fl »⁄flMV⁄◊⁄ ∂fl®⁄ V⁄fl¡⁄fl À⁄flO⁄√ À⁄

SUN MON TUE WED THU FRI SATA¶}⁄¿ —ʇfi»⁄fl »⁄flMV⁄◊⁄ ∂fl®⁄ V⁄fl¡⁄fl À⁄flO⁄√ À⁄

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—⁄»⁄flæ⁄fl ¡ÊfiSÊ (TIME LINE)

"»⁄·¤s⁄fl Bƒ«»Êfi »⁄flt'- P mÈBMtæ⁄·¤ ⁄◊⁄fl»⁄ÿ 1942 ¡⁄Δ«

1915 ¡⁄Δ« •⁄P–yA≤¥√O¤¶M•⁄ ∫¤¡⁄}⁄OÊQ

’M¶¡⁄flW•⁄¡⁄fl.

V¤M©fifæ⁄fl»⁄¡⁄ O⁄fl¬}⁄fl K¶¶¡⁄ƒ«»Êfi? O¤ƒOÊQ @ ⁄flV⁄fly»¤W Æ⁄√~æʇM•⁄fl D¡⁄fllƒ‡« ⁄M∂√»⁄ ⁄fl≠¨fit¬. @»⁄‚¥V⁄◊⁄ ⁄fl≠ JM•⁄fl —⁄»⁄flæ⁄fl ¡ÊfiSÊæ⁄flΔ« ∂¡Êøfl¬.

1893 ¡⁄Δ« •⁄P–y A≤¥√O¤OÊQOʃ—⁄•⁄ ¨…fl}⁄° }⁄ƒflØ•⁄¡⁄fl.

1917 d‡´È ⁄Δ« —⁄∂»⁄fl%~AÀ⁄√»⁄fl»⁄ ⁄fl≠ —¤§Ø“•⁄¡⁄fl

1922 ¡⁄Δ« ^ˬ^Ë¡⁄ Y⁄l Ê⁄sÊøfl}⁄fl.

1887 »Êfln√O⁄fl≈ÊfiŒ⁄ ÈƤ—¤•⁄¡⁄fl

1947 AV⁄—Èo 15 ¡⁄M•⁄fl∫¤¡⁄}⁄»⁄‚¥ —⁄ }⁄M}⁄√»¤øfl}⁄fl.

1930 ¡⁄Δ« DØ∞ ⁄ —⁄}¤¿V⁄√‘⁄•⁄@MV⁄»¤W •⁄Mt æ⁄·¤}Ê√.

1920 ¡⁄Δ« V¤M©fifæ⁄fl»⁄¡⁄fl»Ê‡•⁄ƒ —⁄ƒ OÊfi¡⁄◊⁄OÊQ

}⁄ƒflØ•⁄¡⁄fl.

1888 ¡⁄Δ« D ⁄≠}⁄ ÃO⁄–yO¤QWBMVÊ«fiMtVÊ }Ê¡⁄ÿ•⁄¡⁄fl.

V¤M©fifæ⁄fl»⁄¡⁄ d ⁄Ω¶´¤MO⁄................

1891 ¡⁄Δ« »⁄Pfiƒ¡¤•⁄¡⁄fl.

$ V¤M©fifæ⁄fl»⁄¡⁄ d ⁄Ω¶ ⁄»⁄‚¥ Oʇƒ« »⁄Œ⁄%•⁄ æ⁄·¤»⁄ ~MV⁄◊⁄Δ« ∂¡⁄fl»⁄‚¥•⁄fl?¶´¤MO⁄»Ê„fi?

$ V¤M©fifæ⁄fl»⁄¡⁄ GŒ⁄o Êfi ‘⁄fllflo ‘⁄∂π»⁄ ⁄fl≠ C »⁄Œ⁄% A ⁄¬—⁄≈¤V⁄fl}⁄°•Ê?

⁄»⁄flΩ ¡¤Œ⁄oÒØ}⁄¡¤•⁄ »⁄fl‘¤}⁄Ω V¤M©æ⁄fl»⁄¡⁄ O⁄fl¬}⁄fl JM•⁄fl —⁄»⁄flæ⁄fl ¡ÊfiSÊæ⁄fl ⁄fl≠ }⁄æ⁄·¤¬—ʇfiy.

1948 d ⁄»⁄¬ 30 À⁄flO⁄√»¤¡⁄V¤M©fifæ⁄fl»⁄¡⁄fl ‘⁄fl}¤}⁄Ω¡¤•⁄¡⁄fl.

V¤M©fifæ⁄fl»⁄¡⁄ ∫¤¡⁄}⁄•⁄Δ« ⁄»Ê‡•⁄ƒ —⁄}¤¿V⁄√‘⁄ 1917 ¡⁄

HØ√≈È ~MV⁄ÿ ⁄Δ«⁄MÆ⁄¡⁄zÈ ⁄Δ« d¡⁄flW}⁄fl.

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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

11 12

18 19

…^¤¬“ O⁄Ms⁄fl’tæ⁄flfl»⁄, “•⁄™Æ⁄t—⁄fl»⁄

¶fiÆ⁄ ‘⁄ ⁄fl`»⁄ —⁄»⁄flæ⁄fl, @¡⁄flzʇfi•⁄æ⁄fl, »⁄flfl—⁄”MeÊ, »⁄flflMe¤ Ê, Ƥ√}⁄NO¤ƒ »Ê‡•⁄≈¤•⁄@´ÊfiO⁄ Æ⁄√æʇfiV⁄V⁄◊⁄fl ´⁄»⁄flΩ E¬´⁄Δ« —⁄»⁄flæ⁄flOÊQ —⁄M∂M©“ ∂◊⁄OÊæ⁄flΔ«•Ê. ¨»⁄flΩE¬ ⁄Δ«æ⁄fl‡ C ¬fi~æ⁄flΔ«¡⁄fl»⁄ Æ⁄√æʇfiV⁄V⁄◊⁄fl ∂◊⁄OÊæ⁄flΔ« B¡⁄∂‘⁄fl•⁄fl. @»⁄‚¥V⁄◊⁄ ⁄fl≠…^¤¬“ ~ÿ•⁄fl @•⁄¡⁄ —⁄M•⁄∫⁄%»⁄ ⁄fl≠ »⁄fl}⁄fl° @¢⁄%»⁄ ⁄fl≠ JM•⁄fl ÆÊ„√fieÊO¤oW »⁄flMt“¬.D{| O⁄fllo ⁄ OÊÁøflM•⁄ V⁄tæ⁄·¤¡⁄»⁄‚¥ OÊ◊⁄VÊ ∏}⁄fl°. @•⁄¡⁄ s⁄æ⁄fl≈È »⁄fl‡¡⁄fl }⁄flMs⁄flV⁄◊¤•⁄fl»⁄‚¥.A•⁄¡Ê @•⁄¡⁄ Æ⁄√~æʇM•⁄fl }⁄flMs⁄flV⁄◊⁄Δ«¡⁄fl»⁄ @MOÊV⁄◊⁄ ⁄fl≠ O⁄‡t“•¤V⁄ “V⁄fl»⁄ »Ê‡}⁄°»⁄‚¥—⁄»⁄·¤ ⁄»¤W•Ê. B•⁄ ⁄fl≠ _}⁄√ »⁄·¤t }ʇfi¬—⁄fl…¡¤?JM•⁄fl V⁄tæ⁄·¤¡⁄»⁄ ⁄fl≠ 6 ∫¤V⁄V⁄◊¤W »⁄·¤t•¤V⁄ Æ⁄√~æʇM•⁄fl ∫¤V⁄•⁄Δ«¡⁄fl»⁄ —⁄MSÊ¿V⁄◊⁄»Ê‡}⁄°»⁄‚¥ —⁄»⁄·¤ ⁄»¤V⁄fl»⁄M}Ê V⁄tæ⁄·¤¡⁄»⁄ ⁄fl≠ _~√“¬.

O¤¿≈ÊMs⁄¬ ⁄ »Ê‡fidfl

$ —⁄MSÊ¿V⁄◊⁄ ⁄fl≠ @s⁄uO⁄‡Q¨filO⁄‡Q O⁄‡t“ʇfit¬.

$ B•⁄¡⁄M}ÊB ʇ≠M•⁄ ⁄fl≠ ¡⁄_“»Ê‡}⁄°»⁄ ⁄fl≠O⁄Ms⁄fl’tøfl¬.

$ ¨fi»⁄‚¥ O⁄Ms⁄flOʇMs⁄…ÀÊfiŒ⁄}ÊV⁄◊Êfi ⁄fl?

$ 9 OʇfizÊV⁄◊⁄ —⁄MSÊ¿V⁄◊⁄ Jlflo»Ê‡}⁄°»ÊŒ⁄flo?

$ B•⁄¡⁄M}Ê B ʇ≠M•⁄ ⁄fl≠ ¡⁄_“»Ê‡}⁄°»⁄ ⁄fl≠ O⁄Ms⁄fl’tøfl¬.

$ ¨fi»⁄‚¥ D}⁄°¡⁄»⁄ ⁄fl≠ O⁄Ms⁄fl’t•⁄…®¤ ⁄»⁄ ⁄fl≠ ‘Êfi◊⁄∂‘⁄fl•Êfi?

$ ¨À¤◊⁄fl ¡¤~√ 9 V⁄MmÊVÊ ¨¶√—⁄ƒfl »⁄flƒW•⁄◊⁄fl. ∑Ê◊⁄VÊX 5 V⁄MmÊVÊG•⁄ß◊⁄fl. ‘¤V¤•⁄¡Ê @»⁄◊⁄fl GŒ⁄flo V⁄MmÊV⁄◊⁄ O¤ƒ ¨¶√“•⁄◊⁄fl?

$ 28 Êfi }¤¬fiO⁄fl ∂fl®⁄»¤¡⁄»¤•⁄¡Ê @•Êfi ~MV⁄◊⁄ 7 Êfi }¤¬fiO⁄flæ⁄·¤»⁄ ¶»⁄—⁄»¤W•Ê?

$ 2013 ±Ê∂√»⁄¬ 1 Êfi }¤¬fiO⁄fl À⁄flO⁄√»¤¡⁄»¤W•Ê. C ~MV⁄ÿ ⁄Δ«GŒ⁄flo À⁄flO⁄√»¤¡⁄V⁄ÿ¡⁄fl»⁄‚¥•⁄fl?

$ O¤¿≈ÊMs⁄¬ ⁄ JM•⁄fl ∫¤V⁄»⁄ ⁄fl≠ OÊ◊⁄VÊ Oʇs⁄≈¤W•Ê. @ÿ“ ‘ʇfi•⁄}¤¬fiO⁄flV⁄◊⁄ ⁄fl≠ O⁄Ms⁄fl’t•⁄fl ∂¡Êøfl¬.

SUN MON TUE WED THU FRI SATA¶}⁄¿ —ʇfi»⁄fl »⁄flMV⁄◊⁄ ∂fl®⁄ V⁄fl¡⁄fl À⁄flO⁄√ À⁄

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Æ⁄‚¥ ⁄N À¤≈ÊVÊÀ¤≈Ê A¡⁄M∫⁄»¤øfl}⁄fl. Ø.n.G. æ⁄fl»⁄¡⁄ »⁄~øflM•⁄ Gƒ«¬V⁄‡ ƒs⁄flu …}⁄¡⁄zÊ »⁄·¤s⁄fl»⁄¡⁄fl.

´¤ ⁄fl O⁄Ms⁄flOʇMs⁄ …®¤ ⁄—⁄‘⁄ƤqV⁄◊⁄fl O⁄Ms⁄flOʇMs⁄ …®¤ ⁄

@ ⁄fl »⁄fl}⁄fl° —⁄ ⁄fl nfi ⁄¡⁄Δ« ‘Êfiÿ•⁄fl•⁄ ⁄fl≠ OÊfiÿ¶¡⁄ƒ«»Êfi?Jlflo GŒ⁄flo ƒs⁄fluV⁄◊⁄ ⁄fl≠ @»⁄¡⁄fl …}⁄¬“•⁄¡⁄fl?

⁄ ⁄≠ OÊÁæ⁄flΔ«•⁄ß 532ƒs⁄fluV⁄◊⁄‡ »⁄flflW•⁄fl»⁄‚¥

B ⁄‡≠ @ ÊfiO⁄

»⁄flO⁄QÿVÊ Oʇs⁄ΔPQ•Ê

⁄ ⁄≠ OÊÁæ⁄flΔ«•⁄ß 468ƒs⁄fluV⁄◊⁄‡ »⁄flflW•⁄fl»⁄‚¥

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42

s⁄æ⁄fl¬V⁄◊⁄ —⁄MSÊ¿æ⁄flfl—⁄»⁄·¤ ⁄»¤W ∂¡⁄fl»⁄¬fi~æ⁄flΔ« ‘ÊfiVʃ«Æ¤¿OÊfilflV⁄◊¤W»⁄·¤s⁄∂‘⁄fl•⁄fl?

}⁄¡⁄O¤¬ }ʇfilÀ¤≈Êæ⁄flΔ« }⁄¡⁄O¤¬ }ʇfil¨…fl%—⁄ƒfl »⁄flO⁄Q◊⁄fl 1232¡⁄‡Æ¤øflæ⁄fl ⁄‡≠ @®¤¿Æ⁄O⁄¡⁄fl1425 ¡⁄‡Æ¤øflæ⁄fl ⁄‡≠ fit•⁄¡⁄fl.A•⁄¡Ê Jlflo GŒ⁄flo ¡⁄‡Æ¤øflƒª“}⁄fl?

222333

445

1000

À¤≈¤ s⁄æ⁄fl¬À¤≈Êæ⁄flΔ« …}⁄¬—⁄fl»⁄‚¥•⁄O¤QW 3 Ƥ¿OÊfilflV⁄◊⁄Δ« s⁄æ⁄fl¬V⁄◊⁄ ⁄fl≠ }⁄M•⁄¡⁄fl. s⁄æ⁄fl¬V⁄◊⁄—⁄MSÊ¿æ⁄fl ⁄fl≠ Ƥ¿OÊfilflV⁄◊⁄ ‘ʇ¡⁄VÊ ⁄»⁄fl‡¶—⁄≈¤W•Ê.

s⁄æ⁄fl¬V⁄◊⁄ Jlflo —⁄MSÊ¿ GŒ⁄flo?

....... + ....... + ....... = ..........

B•⁄¡⁄M}Ê 1000 s⁄æ⁄fl¬V⁄◊⁄´⁄fl≠¨fi»⁄„ »⁄fl‡¡⁄fl Ƥ¿OÊfilflV⁄◊⁄Δ«B¬“¬. Æ ⁄ √~æʇM•⁄flƤ¿OÊfin ⁄Δ« GŒ⁄flo s⁄æ⁄fl¬V⁄ÿ»Ê?

....... + ....... + ....... =

¨»⁄flΩ —⁄‘⁄ƤqVʇfi

— ⁄´ ⁄ fl» ⁄„ B•Êfi ¬fi~ s⁄æ⁄fl¬V ⁄◊ ⁄´ ⁄ fl ≠ 3Ƥ¿OÊfilflV⁄◊⁄Δ«¬“•⁄◊⁄fl. Æ⁄√~æʇM•⁄fl Ƥ¿OÊfin ⁄Δ«¡⁄fl»⁄s⁄æ⁄fl¬V⁄◊⁄ —⁄MSÊ¿ 325 »⁄fl}⁄fl° 340¡⁄ GsÊæ⁄flΔ« AW}⁄fl°.‘¤V¤•⁄¡Ê Æ⁄√~æʇM•⁄fl Ƥ¿OÊfin´⁄Δ«æ⁄fl‡ B¡⁄fl»⁄s⁄æ⁄fl¬V⁄◊ÊŒ⁄flo?

+ + =

1000 s⁄æ⁄fl¬V⁄◊⁄ ⁄fl≠ 4 Ƥ¿OÊfilflV⁄◊⁄Δ«¬“•⁄¡Ê

Æ⁄√~æʇM•⁄¡⁄Δ«æ⁄fl‡ GŒ⁄flo s⁄æ⁄fl¬V⁄◊⁄M}Ê B¡⁄∂‘⁄fl•⁄fl?

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43

2 —¤…¡⁄V⁄◊⁄fl 6 ⁄‡¡⁄flV⁄◊⁄fl 5 ‘⁄}⁄fl°V⁄◊⁄fl 7 JM•⁄flV⁄◊⁄fl

P√æ⁄·¤ …®¤ ⁄1232 +1425

2657O⁄fltæ⁄flfl»⁄ ¨fi¡⁄fl

»⁄flO⁄QÿVÊ O⁄fl¶“ }⁄{“•⁄ O⁄fltæ⁄flfl»⁄ ¨fi¡⁄ ⁄fl≠ ¨fis⁄ƒfl 3485 ¡⁄‡Æ¤øfl ∑Ê≈Êøfl¡⁄fl»⁄•Ê‡s⁄u Ƥ}Ê√V⁄◊⁄ ⁄‡≠ Æ⁄•¤¢⁄% ∂t—⁄ƒfl ∑ÊfiO¤W 2145 ¡⁄‡Æ¤øfl ∑Ê≈Êøfl¡⁄fl»⁄ “ofi≈È∑¤ΔßV⁄◊⁄´⁄‡≠ ∏“æ⁄fl‡l —⁄…fl~VÊ ØnGæ⁄fl»⁄¡⁄fl R¬fi¶“ Oʇlo¡⁄fl. B»⁄‚¥V⁄◊⁄´⁄fl≠Æ⁄sÊ•⁄flOʇ◊⁄Ÿƒfl Jlflo GŒ⁄flo ‘⁄y R^¤%øfl}⁄fl?

5 —¤…¡⁄V⁄◊⁄fl 5 ⁄‡¡⁄flV⁄◊⁄fl 12 ‘⁄}⁄fl°V⁄◊⁄fl 10 JM•⁄flV⁄◊⁄fl

5 —¤…¡⁄V⁄◊⁄fl 6 ⁄‡¡⁄fl 3 ‘⁄}⁄fl°V⁄◊⁄fl 0 JM•⁄flV⁄◊⁄fl

5 —¤…¡⁄V⁄◊⁄fl 6 ⁄‡¡⁄fl 3 ‘⁄}⁄fl°V⁄◊⁄fl 0 JM•⁄flV⁄◊⁄fl

11

11

Ƥ}Ê√V⁄◊⁄O⁄√æ⁄fl

∑¤ΔßV⁄◊⁄O⁄√æ⁄fl

Jlflo

»⁄flO⁄QÿM•⁄ƒª“•⁄fl•⁄fl

@®¤¿Æ⁄O⁄¬M•⁄

ƒª“•⁄fl•⁄fl

Jlflo

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44

B•⁄´⁄fl≠’fiVÊ∂¡Êæ⁄fl∂‘⁄fl•⁄fl

1 13485 +2145

5630∑ÊfiMPVÊ

O⁄ΔO¤ —⁄‘¤æ⁄fl ¨©VÊ ƒª“•⁄ ‘⁄y»⁄ ⁄fl≠ ∑ÊfiMP ⁄Δ« O⁄loƒfl ~fi»⁄·¤%¨—⁄≈¤øfl}⁄fl.

4 —¤…¡⁄ ¡⁄‡Æ¤øflV⁄◊⁄‡4 ‘⁄}⁄fl° ¡⁄‡Æ¤øflV⁄◊⁄‡8 ⁄‡¡⁄fl ¡⁄‡Æ¤øflV⁄◊⁄‡

7 JM•⁄fl ¡⁄‡Æ¤øflV⁄◊⁄‡ æ⁄flfl.Ø.}⁄¡⁄V⁄~V⁄ÿM•⁄ ƒª“•⁄fl»⁄‚¥.

G≈È.Ø. }⁄¡⁄V⁄~V⁄ÿM•⁄3 —¤…¡⁄ ¡⁄‡Æ¤øflV⁄◊⁄‡6 ⁄‡¡⁄fl ¡⁄‡Æ¤øflV⁄◊⁄‡9 ‘⁄}⁄fl° ¡⁄‡Æ¤øflV⁄◊⁄‡5 JM•⁄fl ¡⁄‡Æ¤øflV⁄◊⁄‡

ƒª“•⁄fl»⁄‚¥.

Jlflo GŒ⁄flo ‘⁄y ƒª“}⁄fl?‘ÊfiVÊ O⁄Ms⁄fl’tæ⁄flfl…¬?$ G≈È.Ø. …∫¤V⁄¶M•⁄ “PQ•⁄ ‘⁄y

$ æ⁄flfl.Ø. …∫¤V⁄¶M•⁄ “PQ•⁄ ‘⁄y

∑¤øfl≈ÊO⁄Q»¤W O⁄Ms⁄fl’tøfl¬

1500 + 1500 = .........

2500 + 2500 = .........

3500 + 3500 = .........

1250 + 1250 = .........

1450 + 1450 = .........

—¤…¡⁄V⁄◊⁄fl ⁄‡¡⁄flV⁄◊⁄fl ‘⁄}⁄fl°V⁄◊⁄fl JM•⁄flV⁄◊⁄fl

1 1

3 4 8 5

2 1 4 5

5 6 3 01 1

+

P√æ⁄·¤ …®¤ ⁄

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G≈È. Ø.…∫¤V⁄¶M•⁄

æ⁄flfl.Ø.…∫¤V⁄¶M•⁄

Jlflo

B•⁄ ⁄fl≠ ’fiVÊ∂¡Êæ⁄fl∂‘⁄fl•⁄fl.

—¤…¡⁄V⁄◊⁄fl ⁄‡¡⁄flV⁄◊⁄fl ‘⁄}⁄fl°V⁄◊⁄fl JM•⁄flV⁄◊⁄fl

1 1 1

3 6 9 5

4 8 4 7

8 5 4 21 1

+

1 1 13 6 9 5 +4 8 4 7

8 5 4 2

1

P√æ⁄·¤ …®¤ ⁄

@M•⁄¡Ê 7 —¤…¡⁄V⁄◊⁄fl 14 ⁄‡¡⁄flV⁄◊⁄fl 13 ‘⁄}⁄fl°V⁄◊⁄fl 12 JM•⁄flV⁄◊⁄fl

8 —¤…¡⁄V⁄◊⁄fl 5 ⁄‡¡⁄flV⁄◊⁄fl 4 ‘⁄}⁄fl°V⁄◊⁄fl 2 JM•⁄flV⁄◊⁄fl

B•⁄´⁄fl≠ 8 —¤…¡⁄V⁄◊⁄fl 5 ⁄‡¡⁄flV⁄◊⁄fl 4 ‘⁄}⁄fl°V⁄◊⁄fl 2 JM•⁄flV⁄◊⁄fl

1 111 1 1

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ʇfilfl Æ⁄‚¥—⁄°O⁄À¤≈ÊVÊ "´⁄´⁄Ω' O⁄«∏π´⁄ »⁄~øflM•⁄2345 S¤Δ ʇfilfl Æ⁄‚¥—⁄°O⁄V⁄◊⁄ ⁄‡≠4678 V Ê¡ Êøfl¡ ⁄fl» ⁄ ´ ʇfilflÆ⁄‚¥—⁄°O⁄V⁄◊⁄ ⁄‡≠ …}⁄¡⁄zÊ »⁄·¤t•⁄¡⁄fl.

Jlflo GŒ⁄flo ʇfilfl Æ⁄‚¥—⁄°O⁄V⁄◊⁄ ⁄fl≠ …}⁄¡⁄zÊ»⁄·¤t•⁄¡⁄fl?$ ‘ÊfiVÊ O⁄Ms⁄fl’tæ⁄flfl…¬?

2345 ´⁄fl ≠ »⁄fl}⁄fl ° 4678 ´⁄fl ≠O⁄‡t“•⁄¡Ê —¤O⁄fl.

2345 = 2000 + 300 + 40 + 5

4678 = 4000 + 600 + 70 + 8

6000 + 900 + 110 + 13

6000 +90011013

7023

2300 + 45 69004600 + 78 123

6900 + 123 7023

2340 + 5 7010 +4670 + 8 13

7010 + 13 7023

2 3 4 5 +4 6 7 8

1 311 09 0 0

6 0 0 0

7 0 2 3

2 3 4 5 +4 6 7 87 0 2 31

1

1

1

2 3 4 54 6 7 86 9 1 3

1 17 0 2 3

1 12 3 4 5 +4 6 7 87 0 2 3

2345 + 4678

1

1

1

1

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O⁄fl_% »⁄fl}⁄fl° »Êflfidfl À¤≈ÊVÊ ‘ʇ—⁄•¤W R¬fi¶“•⁄ O⁄fl_%V⁄ÿVÊ2980 ¡⁄‡Æ¤øflæ⁄fl‡ »ÊflfidflV⁄ÿVÊ 6420¡⁄‡Æ¤øflæ⁄fl‡ R^¤%øfl}⁄fl. Jlflo GŒ⁄flo‘⁄y R^¤%øfl}⁄fl?

‘ÊfiVÊ O⁄Ms⁄fl’tæ⁄flfl…¬?

´¤ ⁄fl O⁄Ms⁄flOʇMs⁄ …®¤ ⁄ —⁄‘⁄ƤqV⁄◊⁄fl O⁄Ms⁄flOʇMs⁄ …®¤ ⁄

850 850 1250 550 2000 2200 1600 1700

∑¤øfl≈ÊO⁄Q»¤W »⁄·¤t ʇfit¬

5999 +1875

?

@ ⁄fl`Æ⁄√ÀÊ≠æ⁄fl ʇ≠»ÊflΩ∂•⁄Δ“ ∂¡Ê•⁄flD}⁄°¡⁄»⁄ ⁄fl≠O⁄Ms⁄fl’t•⁄◊⁄fl

6000 +1874

7874999 + 99 = ?

4867 + 997 = ?

»⁄fl®¤¿‘⁄≠•⁄‡l»⁄fl®¤¿‘⁄≠•⁄‡lO¤QW dfl≈¤øfl ~MV⁄◊⁄Δ«1850 P≈ʇfiV¤√M @PQæ⁄fl‡ @Vʇfi—⁄fl°~MV⁄◊⁄Δ« 2050 P≈ʇfiV¤√M @PQæ⁄fl‡ƒª“}⁄fl. Jlflo GŒ⁄flo P≈ʇfiV¤√M @PQƒª“}⁄fl?

2980 »⁄fl}⁄fl° 6420 ⁄fl≠O⁄‡t—⁄ƒfl 3000 »⁄fl}⁄fl° 6400

O⁄‡t“•⁄¡Ê —¤ƒ•Ê?

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Dÿ}¤æ⁄fld‡´È ~MV⁄◊⁄Δ« 1400 ¡⁄‡Æ¤øflV⁄◊⁄´⁄‡≠dfl≈¤øfl ~MV⁄◊⁄Δ« 1650 ¡⁄‡Æ¤øflV⁄◊⁄ ⁄‡≠ @ ⁄fl∑ÊfiMP ⁄Δ« OÊ–fiØ“•⁄ ⁄fl. —⁄‘⁄Ƥq —⁄ ⁄fl»⁄‚¥ d‡´È~MV⁄ÿ ⁄Δ« ¨OÊ–fiØ“•⁄ ‘⁄y»⁄‚¥ @ ⁄fl…WM}⁄ 175¡⁄‡Æ¤øfl @©O⁄»¤W}⁄fl°. A•⁄¡Ê dfl≈¤øfl~MV ⁄ÿ´ ⁄Δ « @´ ⁄fl…WM}⁄ 75 ¡ ⁄‡Æ¤øflO⁄t»Êflæ⁄·¤W}⁄fl °. ‘¤W•⁄ß¡Ê Æ⁄√~æʇ∂π¡⁄‡¨OÊ–fiØ“•⁄ ‘⁄y»ÊŒ⁄flo? æ⁄·¤¡⁄fl ¨OÊ–fiØ“•⁄ ‘⁄y‘Ê ⁄fl`?

‘ÊfiVÊ O⁄Ms⁄fl’tæ⁄flfl…¬?$

$

´¤ ⁄fl ⁄ ⁄≠ O⁄fl¬}⁄fl ‘Ë•⁄fl @ƒ«—⁄»⁄fl—¤¿ Æ⁄¬‘¤¡⁄V⁄ÿVÊ æ⁄·¤»⁄ æ⁄·¤»⁄ P√æÊflV⁄◊⁄ ⁄fl≠ »⁄·¤s⁄∂‘⁄fl•ÊM•⁄fl~ÿøfl}⁄fl.G¡⁄s⁄ Êfi »⁄¿P°æ⁄flfl ¨OÊ–fiØ“•⁄ ‘⁄y»⁄ ⁄fl≠ —⁄flƒ∫⁄•⁄Δ« ‘ÊfiVÊO⁄Ms⁄fl’tæ⁄flƒfl —¤®⁄¥¿»ÊM•⁄fl ~ÿ•⁄flOʇMsÊ ⁄fl.P√æÊflV⁄◊⁄ ⁄fl≠ »⁄·¤t•⁄fl•⁄fl —⁄¬æÊflM•⁄fl ¤ ⁄fl •⁄‰v⁄Æ⁄t“OʇMsÊ ⁄fl.D}⁄°¡⁄OÊQ }⁄ƒflØ•⁄ ¬fi~ »⁄fl}⁄fl° P√æ⁄·¤ …®¤ ⁄»⁄ ⁄fl≠ ‘Êfi◊⁄ƒfl —¤®⁄¥¿…•Ê.

¶ ⁄ »⁄·¤¡¤l—ʇfi»⁄fl 2040 ¡⁄‡.

»⁄flMV⁄◊⁄ 865 ¡⁄‡.

∂fl®⁄ 2025 ¡⁄‡.

V⁄fl¡⁄fl 1890 ¡⁄‡.

À⁄flO⁄√ 2400 ¡⁄‡.

1 ¬M•⁄ 8 ¡⁄ »⁄¡ÊW ⁄—⁄MSÊ¿V⁄◊⁄ ⁄fl≠ C OÊ◊⁄VÊOʇs⁄≈¤•⁄ OʇfizÊV⁄◊⁄Δ«

∂¡Êæ⁄fl∑ÊfiO⁄fl.A•⁄¡Ê ‘⁄~°¡⁄•⁄ —⁄MSÊ¿V⁄◊⁄fl

‘⁄~°¡⁄•⁄ OʇfizÊV⁄◊⁄Δ«∂¡⁄∑¤¡⁄•⁄fl.

»⁄·¤¡¤l

À¤≈¤ —ʇ—ÊÁnæ⁄fl JM•⁄fl»¤¡⁄•⁄ »⁄·¤¡¤l»⁄´⁄fl≠ʇfit¬.

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»¤¡⁄•⁄ »Ê‡•⁄ƒ G¡⁄s⁄fl ¶ ⁄V⁄◊⁄Δ« Jlflo GŒ⁄flo ¡⁄‡Æ¤øflæ⁄fl »⁄·¤¡¤l ⁄sÊøfl}⁄fl?

»¤¡⁄•⁄ Oʇ Êæ⁄fl G¡⁄s⁄fl ¶ ⁄V⁄◊⁄Δ« Jlflo GŒ⁄flo ¡⁄‡Æ¤øflæ⁄fl »⁄·¤¡¤l ⁄sÊøfl}⁄fl?

A »¤¡⁄•⁄Δ« Jlflo GŒ⁄flo ¡⁄‡Æ¤øflæ⁄fl »⁄·¤¡¤l ⁄sÊøfl}⁄fl?

@~fi ‘Ê ⁄fl` »⁄·¤¡¤l»¤•⁄ ¶ ⁄ æ⁄·¤»⁄‚¥•⁄fl?

À¤≈¤ —ʇ—ÊÁnæ⁄fl Æ⁄√~fi ¶ ⁄•⁄ »⁄·¤¡¤l»⁄ ⁄fl≠ O⁄√»⁄flÆ⁄√O¤¡⁄ ∂¡Êøfl¬.

»⁄fl®¤¿‘⁄≠•⁄‡lÀ¤≈Êæ⁄flΔ« »⁄fl®¤¿‘⁄≠•⁄‡l }⁄æ⁄·¤¬—⁄ƒfl }ÊVÊ•⁄flOʇMs⁄ }⁄¡⁄O¤¬æ⁄fl ∑Ê≈Êæ⁄fl ⁄fl≠ ʇfit¬.

d‡´È ~MV⁄ÿ ⁄Δ« 2715 ¡⁄‡Æ¤øflæ⁄fl }⁄¡⁄O¤¬V⁄◊⁄ ⁄fl≠ R¬fi¶“•⁄¡⁄fl. @Vʇfi—⁄fl° ~MV⁄◊⁄Δ«d‡´È ~MV⁄ÿWM}⁄ 675 ¡⁄‡Æ¤øfl @©O⁄ ∑Ê≈Êæ⁄fl »⁄fl}⁄fl° dfl≈¤øfl ~MV⁄◊⁄Δ« @Vʇfi—⁄fl°~MV⁄ÿWM}⁄ 175 ¡⁄‡Æ¤øfl O⁄t»Êfl ∑Ê≈Êæ⁄fl }⁄¡⁄O¤¬V⁄◊⁄ ⁄fl≠ R¬fi¶—⁄≈¤øfl}⁄fl. —ÊÆ⁄oM∂¡È~MV⁄◊⁄Δ« d‡´È ~MV⁄ÿWM}⁄ 275 ¡⁄‡Æ¤øfl @©O⁄ ∑Ê≈Êæ⁄fl }⁄¡⁄O¤¬V⁄◊⁄ ⁄fl≠ R¬fi¶—⁄≈¤øfl}⁄fl.

Æ⁄√~æʇM•⁄fl ~MV⁄ÿ ⁄Δ« GŒ⁄flo ∑Ê≈Êæ⁄fl }⁄¡⁄O¤¬V⁄◊⁄ ⁄fl≠ R¬fi¶—⁄≈¤øfl}⁄fl.?

æ⁄·¤»⁄ ~MV⁄◊⁄Δ« ‘Ê ⁄fl` R^¤%øfl}⁄fl? O⁄t»Êflæʇfi?

´¤ƒflQ ~MV⁄◊⁄flV⁄ÿVÊ R¬fi¶“•⁄ }⁄¡⁄O¤¬V⁄◊⁄ Jlflo ∑Ê≈Ê GŒ⁄flo?

Jlflo GŒ⁄flo P≈ʇfiV¤√M @PQæ⁄fl ⁄fl≠ …}⁄¡⁄zÊV¤W }⁄¡⁄≈¤øfl}⁄fl?

G¡⁄s⁄fl ¶ ⁄V⁄◊⁄Δ« 5000 P≈ʇfiV¤√M @PQæ⁄fl ⁄fl≠ …}⁄¬—⁄≈¤øfl}⁄fl. »Ê‡•⁄ƒ ¶ ⁄PQM}⁄ 1000P≈ʇfiV¤√M ‘Ê ⁄fl` G¡⁄s⁄ Êfi ¶ ⁄ …}⁄¬—⁄≈¤øfl}⁄fl.

‘¤V¤•⁄¡Ê Æ⁄√~æʇM•⁄fl ¶ ⁄ GŒ⁄flo P≈ʇfiV¤√M @PQæ⁄fl ⁄fl≠ …}⁄¡⁄zÊ »⁄·¤s⁄≈¤øfl}⁄fl?

»Ê‡•⁄ƒ V¤tæ⁄flΔ«3600 P≈ʇfi V¤√M.G¡⁄s⁄ Êfi V¤tæ⁄flΔ«1900 P≈ʇfi V¤√M

D_}⁄ @PQ …}⁄¡⁄zÊKyM ‘⁄∂π•⁄ Æ⁄√æ⁄flflO⁄°D_}⁄»¤W 5 P.≈ʇfi V¤√M@PQæ⁄fl ⁄fl≠ …}⁄¬—⁄fl»⁄¡⁄fl.

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‘¤ƒfl …}⁄¡⁄zÊÀ¤≈ÊVÊ ‘¤ƒfl …}⁄¡⁄zÊ »⁄·¤s⁄fl»⁄‚¥•⁄fl‘¤ƒfl D}¤∞•⁄O⁄¡⁄ —⁄MY⁄»¤W•Ê.

‘¤ƒfl D}¤∞•⁄O⁄¡⁄ —⁄MY⁄OÊQ G¡⁄s⁄‡»¤¡⁄V⁄ÿVÊ —Êfi¬ Jlflo GŒ⁄flo ‘⁄y»⁄ ⁄fl≠Oʇs⁄∑ÊfiO⁄fl?

$ 1221, 1222, 1223, 1224, .........., .........., ..........

$ 1221, 1231, 1241, 1251, .........., .........., ..........

$ 1221, 1321, 1421, 1521, .........., .........., ..........

$ 1221, 2221, 3221, 4221, .........., .........., ..........

$ 1221, 1232, 1243, 1254, .........., .........., ..........

$ 1221, 1332, 1443, 1554, .........., .........., ..........,

$ 1221, 2332, 3443, 4554, .........., .........., ..........,

4325 ¬M•⁄ A¡⁄M∫⁄»¤V⁄fl»⁄ 4 …ª ⁄≠ ⁄»⁄fl‡ ÊV⁄◊⁄ ⁄fl≠ ¨…fl%“¬.

—⁄MS¤¿ ⁄»⁄fl‡ Êæ⁄fl ⁄fl≠ Æ⁄„~%Vʇÿ—ʇfiy

OÊ◊⁄VÊ Oʇno¡⁄fl»⁄ —⁄MSÊ¿V⁄◊⁄ ⁄fl≠Æ⁄æʇfiW“»⁄·¤æ⁄·¤^ËO⁄»Ê„M•⁄ ⁄fl≠ ¡⁄_“¬.

1054, 3390, 2806, 1638, 3098, 2514,1930, 1346, 2222

∑¤øfl≈ÊO⁄Q»¤W O⁄Ms⁄fl’tæ⁄flfl»⁄

450 + 475 = 450 + 450 + 25

G¡⁄s⁄fl —⁄ƒ 450 »⁄fl}⁄fl° JM•⁄fl —⁄ƒ 25=925

1500 + 1525 = ?

2500 + 2547 = ?

1250 + 1270 = ?

1450 + 1350 = ?

2222

O⁄◊Ê•⁄ »¤¡⁄ 4704¡⁄‡Æ¤øflæ⁄·¤W}⁄fl°. C »¤¡⁄@•⁄PQM}⁄ 100 ¡⁄‡Æ¤øfl

O⁄t»Êflæ⁄·¤V⁄fl»⁄‚¥•⁄fl.

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»⁄·¤æ⁄·¤^ËO⁄»⁄·¤æ⁄·¤^ËO⁄•⁄Δ« JM•⁄fl OʇfizÊæ⁄flΔ« ∂¡Ê¶¡⁄fl»⁄ —⁄MSÊ¿æ⁄flfl—⁄¬æ⁄flƒ«. A —⁄MSÊ¿ æ⁄·¤»⁄‚¥•ÊM•⁄fl O⁄Ms⁄fl’tøfl¬.

OʇfizÊV⁄◊⁄ ⁄fl≠ @s⁄uO⁄‡Q, filO⁄‡Q »⁄fl‡≈ÊøflM•⁄ »⁄fl‡≈ÊV⁄‡O⁄‡t“ ʇfit¬.

4150 1875 3500

2525 3175 3825

4850 4475 2200

»⁄—⁄° »Êflfi◊⁄ —⁄≈¤ ¡È O⁄…flΩfi—È 1340 ¡⁄‡., 1280 ¡⁄‡., 1400 ¡⁄‡.⁄‡¬•¤¡È 1525 ¡⁄‡., 1600 ¡⁄‡., 1575 ¡⁄‡.

—¤¬ 1775 ¡⁄‡., 1975 ¡⁄‡., 1860 ¡⁄‡.

—⁄fl≈ÊÁR◊⁄ OÊÁæ⁄flΔ« 3500 ¡⁄‡Æ¤øflæ⁄fl‡ @Mdfl… ⁄OÊÁæ⁄flΔ« 3200 ¡⁄‡Æ¤øflæ⁄fl‡ Δ“æ⁄fl OÊÁæ⁄flΔ«3350 ¡⁄‡Æ¤øflæ⁄fl‡ B•Ê. OÊÁæ⁄flΔ«•⁄ß G≈¤«‘⁄y¶M•⁄ @»⁄¡⁄fl Æ⁄√~æʇ∂π¡⁄‡ G¡⁄s⁄fl ∂mÊoV⁄◊⁄ ⁄fl≠R¬fi¶“•⁄¡⁄fl. @»⁄‚¥V⁄◊⁄fl æ⁄·¤»⁄‚¥•¤W¡⁄∂‘⁄fl•⁄fl?

»⁄fl‡¡⁄fl …®⁄• ⁄ ∂mÊ oV ⁄◊ ⁄Δ « JM•Ê‡M•⁄´ ⁄fl ≠ R¬fi¶“•⁄¡ Ê @~fi O ⁄t»Êfl ‘⁄yGŒ¤oV⁄∂‘⁄fl•⁄fl?

—⁄fl≈ÊÁS¤ @Mdfl Δ“

3500 3200 3350

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1 ¬M•⁄ 10 ¡⁄ »⁄¡ÊW ⁄ @ ⁄flO⁄√»⁄fl»¤•⁄ G{O¤ —⁄MSÊ¿V⁄◊⁄ »Ê‡}⁄° GŒ⁄flo?

11 ¬M•⁄ 20 »⁄¡ÊW ⁄ @ ⁄flO⁄√»⁄fl»¤•⁄ G{O¤ —⁄MSÊ¿V⁄◊⁄ »Ê‡}⁄°»Ê„fi?¨fi»⁄‚¥ ‘ÊfiVÊ O⁄Ms⁄fl’t¶¬?

41 ¬M•⁄ @ ⁄flO⁄√»⁄fl»¤W ∂¡⁄fl»⁄ 10 G{O¤ —⁄MSÊ¿V⁄◊⁄ »Ê‡}⁄° GŒ⁄flo?

»⁄fl‡¡⁄fl »⁄—⁄fl°V⁄◊⁄ ⁄fl≠ Æ⁄sÊ•⁄flOʇ◊⁄flŸ»⁄—¤¡⁄MV⁄ ⁄ OÊÁæ⁄flΔ« 8000 ¡⁄‡Æ¤øflV⁄ÿ»Ê.

OÊÁæ⁄flΔ«•⁄ß Æ⁄„~% ‘⁄y¶M•⁄ —¤¡⁄MVÈ 3 »⁄—⁄fl°V⁄◊⁄´⁄fl≠ R¬fi¶“•⁄´⁄fl. @»⁄‚¥V⁄◊⁄flæ⁄·¤»⁄‚¥•¤W¡⁄∂‘⁄fl•⁄fl?

$ …flP” 3450 ¡⁄‡. $ Æ⁄√À⁄¡È O⁄flO⁄Q¡È 3755 ¡⁄‡.$ mʇfi^È% 1305 ¡⁄‡. $ V¤¿—È —Ëo 3245 ¡⁄‡.$ B“°ÆÊnoVÊ 1000 ¡⁄‡. $ ±Êfi´È 3550 ¡⁄‡.

´¤ ⁄fl O⁄Ms⁄flOʇMs⁄ …®¤ ⁄ —⁄‘⁄ƤqV⁄◊⁄fl O⁄Ms⁄flOʇMs⁄ …®¤ ⁄

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@~fi •Ê‡s⁄uG¡⁄s⁄MOÊ —⁄MSÊ¿æ⁄fl ⁄‡≠

@~fi —⁄y| G¡⁄s⁄MOÊ —⁄MSÊ¿æ⁄fl ⁄‡≠O⁄‡t“•⁄¡Ê

99 + 10 = 109@~fi •Ê‡s⁄u »⁄fl‡¡⁄MOÊ —⁄MSÊ¿æ⁄fl ⁄‡≠@~fi —⁄y| »⁄fl‡¡⁄MOÊ —⁄MSÊ¿æ⁄fl ⁄‡≠

O⁄‡t“•⁄¡Ê999 + 100 = .........

@~fi •Ê‡s⁄u ´¤ƒQMOÊ —⁄MSÊ¿æ⁄fl ⁄‡≠@~fi —⁄y| ´¤ƒQMOÊ —⁄MSÊ¿æ⁄fl ⁄‡≠

O⁄‡t“•⁄¡Ê?......... + ......... = .........

¨OÊ–fiØ“•⁄ ‘⁄y∑¤∂fl…VÊ 1420 ¡⁄‡Æ¤øflV⁄◊⁄ ´¤≤æ⁄flÿVÊ 1580 ¡⁄‡Æ¤øflV⁄◊⁄ eʇfi{VÊ 1605¡⁄‡Æ¤øflV⁄◊⁄ ∑ÊfiMO⁄fl pÊfi»⁄{V⁄ÿ»Ê. ∑¤∂fl… ⁄ »⁄fl}⁄fl° ¤≤æ⁄fl◊⁄ pÊfi»⁄{V⁄◊⁄ Jlflo »Ê‡}⁄°•⁄@®⁄% »⁄·¤}⁄√ “}¤¡⁄◊⁄ pÊfi»⁄{æ⁄·¤W•Ê.

eʇfi{ »⁄fl}⁄fl° ´¤≤æ⁄fl◊⁄ Jlflo pÊfi»⁄{æʇM¶VÊ 120 ¡⁄‡Æ¤øflæ⁄fl ⁄fl≠ O⁄‡t“•⁄¡Ê∏M•⁄fl… ⁄ pÊfi»⁄{æ⁄·¤V⁄fl»⁄‚¥•⁄fl.

}¤’¡⁄◊⁄ pÊfi»⁄{æ⁄flfl “}¤¡⁄◊⁄ »⁄fl}⁄fl ° ∏M•⁄fl…´⁄ pÊfi»⁄{æ⁄fl Jlflo »Ê‡}⁄ °OÊQ—⁄»⁄·¤ ⁄»¤W¡⁄fl}⁄°•Ê.

‘¤V¤•⁄¡Ê }¤’¡⁄◊⁄fl ¨OÊ–fiØ“•⁄ ‘⁄y GŒ⁄flo?

Oʇno¡⁄fl»⁄ »⁄·¤’~V⁄◊⁄ A®¤¡⁄•⁄Δ« —⁄‘⁄ƤqV⁄◊⁄Δ« OÊfi◊⁄ƒfl Oʃ»⁄‚¥ Æ⁄√ÀÊ≠V⁄◊⁄ ⁄fl≠ }⁄æ⁄·¤¬“¬.

$ O⁄t»Êfl pÊfi»⁄{ æ⁄·¤¡⁄•⁄flß?

$

$

$

@~fi •Ê‡s⁄u G¡⁄s⁄MOÊ —⁄MSÊ¿æ⁄fl ⁄‡≠ @~fi •Ê‡s⁄u

JM•⁄MOÊ —⁄MSÊ¿æ⁄fl ⁄‡≠ O⁄‡t“•⁄¡Ê99 + 9 = .........

@~fi •Ê‡s⁄u »⁄fl‡¡⁄MOÊ —⁄MSÊ¿æ⁄fl ⁄‡≠@~fi •Ê‡s⁄u G¡⁄s⁄MOÊ —⁄MSÊ¿æ⁄fl ⁄‡≠

O⁄‡t“•⁄¡Ê........... + ........... = ...................

@~fi •Ê‡s⁄u ´¤ƒQMOÊ —⁄MSÊ¿æ⁄fl ⁄‡≠@~fi •Ê‡s⁄u »⁄fl‡¡⁄MOÊ —⁄MSÊ¿æ⁄fl ⁄‡≠

O⁄‡t“•⁄¡Ê?........... + ........... = ...................

•Ê‡s⁄u•⁄fl »⁄fl}⁄fl° —⁄y|•⁄fl

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∑¤øfl≈ÊO⁄Q»¤W O⁄Ms⁄fl’tæ⁄flfl»⁄

@ª»⁄‰¶™ ¨©À¤≈¤ @ª»⁄‰¶™ ©VÊ ØnG —⁄•⁄—⁄¿¡⁄fl 5 V⁄flMÆ⁄‚¥V⁄◊¤W ‘⁄y»⁄ ⁄fl≠ —⁄MV⁄√’“•⁄¡⁄fl. »⁄fl‡¡⁄ ÊfiV⁄flMØ ⁄»⁄¡⁄fl —⁄MV⁄√’“•⁄ ‘⁄y»⁄‚¥ JM•⁄ Êfi V⁄flMØ ⁄»⁄¬WM}⁄⁄ 600¡⁄‡Æ¤øflæ⁄fl‡, G¡⁄s⁄ ÊfiV⁄flMØ ⁄»⁄¬WM}⁄ 400 ¡⁄‡Æ¤øflæ⁄fl‡ @©O⁄»¤W}⁄fl°. A•⁄¡Ê 5 Êfi V⁄flMØ ⁄»⁄¬VÊ 4 ÊfiV⁄flMØ ⁄»⁄¬WM}⁄ 550 ¡⁄‡Æ¤øfl @©O⁄»⁄„, 3 Êfi V⁄flMØ ⁄»⁄¬VÊ 4 Êfi V⁄flMØ ⁄»⁄¬WM}⁄200 ¡⁄‡Æ¤øfl O⁄t»Êflæ⁄fl‡ AW}⁄fl°. 4 Êfi V⁄flMÆ⁄‚¥ 4200 ¡⁄‡Æ¤øfl —⁄MV⁄√’“•⁄ß¡Ê,Dÿ•⁄ V⁄flMÆ⁄‚¥V⁄◊⁄fl —⁄MV⁄√’“•⁄ ‘⁄y GŒ⁄flo? Jlflo GŒ⁄flo ‘⁄y ƒª“}⁄fl?

•¤◊⁄•⁄ Al$ 3747 + 2836 = 6583 AW•Ê.

OÊ◊⁄VÊ Oʇlo»⁄‚¥V⁄◊⁄ ⁄fl≠∑¤øfl≈ÊO⁄Q»¤W »⁄·¤t¬.$ 3749 + 2834 = ?

$ 3749 + 2839 = ?

$ 3746 + 2834 = ?

$ 3746 + 2839 = ?

$ 5469 + 2537 = 8006 AW•Ê.

$ 5437 + 2569 = ?

$ 5539 + 2467 = ?

$ 2569 + 5437 = ?

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6000

2675 4001

3867 90

2550 4905

2600 3688 875

1340 1000

Aæ⁄fl»⁄¿æ⁄flKyM ‘⁄∂π• ⁄ Æ ⁄ √æ ⁄flflO ⁄ °O⁄fllflM∂* æ⁄fl»⁄¡⁄fl ⁄sÊ—⁄fl»⁄ 3—¤oƒflV⁄◊⁄fl 4 ¶»⁄—⁄V⁄◊⁄ O¤ƒ O¤æ⁄·¤% ⁄¬“•⁄fl»⁄‚¥. JM•⁄ Êfi—¤oΔ¨M•⁄ 3405, 3528, 3780, 3500 ¡⁄‡Æ¤øflV⁄◊⁄‡,G¡⁄s ⁄´ Êfi —¤ oΔ¨M•⁄ 2966, 3600, 4250, 3497¡⁄‡Æ¤øflV⁄◊⁄‡, »⁄fl‡¡⁄ Êfi —¤oΔ¨M•⁄ 2998, 3570, 4306,3100 ¡⁄‡Æ¤øflV⁄◊⁄‡ ´¤ƒflQ ¶»⁄—⁄V⁄◊⁄Δ« —⁄MV⁄√‘⁄»¤•⁄fl»⁄‚¥.

‘Ê ⁄fl` A•¤æ⁄fl ƒª“•⁄ —¤o≈È æ⁄·¤»⁄‚¥•⁄fl?

‘Ê ⁄fl` A•¤æ⁄fl ƒª“•⁄ ¶ ⁄ æ⁄·¤»⁄‚¥•⁄fl?

¨fit¡⁄fl»⁄@MP@MÀ⁄V⁄◊⁄ ⁄fl≠Æ⁄no»⁄·¤t¬

B•⁄fl B∂π¡⁄fl As⁄fl»⁄ Al»¤W•Ê. æ⁄·¤»⁄‚¥•¤•⁄¡⁄‡S¤Δøfl¡⁄fl»⁄ OʇfizÊæ⁄flΔ« •¤◊⁄»⁄ ⁄fl≠ B¬—⁄fl»⁄. JM•⁄flOʇfizÊøflM•⁄ ‘⁄~°¡⁄•⁄ æ⁄·¤»⁄ OʇfizÊVÊ ∑ÊfiO¤•⁄¡⁄‡•¤◊⁄»⁄ ⁄fl≠ —⁄¬—⁄∂‘⁄fl•⁄fl. A•⁄¡Ê »⁄fl‡≈ÊøflM•⁄ »⁄fl‡≈ÊVÊ—⁄¬—⁄∑¤¡⁄•⁄fl. ∂y| ‘⁄_`•⁄ OʇfizÊV¤V⁄Δfi J»ÊflΩ —⁄⁄¬“•⁄OʇfizÊV¤V⁄Δfi •¤◊⁄»⁄´⁄fl≠ —⁄¬—⁄∑¤¡⁄•⁄fl. •¤◊⁄»⁄´⁄fl≠—⁄¬“•⁄ OʇfizÊV⁄◊⁄Δ«¡⁄fl»⁄ —⁄MSÊ¿V⁄◊⁄ »Ê‡}⁄°»⁄‚¥ »⁄flVÊ “V⁄fl»⁄@MO ⁄»¤W•Ê . ‘ Ê^ ⁄fl ` @MO ⁄ ƒª“•⁄» ⁄¡ ⁄ fl…døflæ⁄·¤V⁄fl»⁄¡⁄fl.

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B ⁄fl≠ GŒ⁄flo•⁄‡¡⁄…•Ê?

B Ê≠Œ⁄flo •⁄‡¡⁄Æ⁄„»⁄fl≈Ê À¤≈ÊøflM•⁄ ~¡⁄fl»⁄ ⁄M}⁄Æ⁄‚¥¡⁄OÊQ ÀÊÁO⁄–{O⁄ Æ⁄√»¤—⁄OÊQ ‘ʇfiV⁄fl»⁄¡⁄fl. À¤≈ÊøflM•⁄~¡⁄fl»⁄ ⁄M}⁄Æ⁄‚¥¡⁄OÊQ 496 P≈ʇfi…flfil¡È •⁄‡¡⁄…•Ê. @»⁄¡⁄fl 85 P≈ʇfi…flfil¡ÈÆ⁄√æ⁄·¤{“ Oʇfi¬hflOʇQfitVÊ }⁄ƒflØ•⁄¡⁄fl.

B ⁄fl≠ ~¡⁄fl»⁄ ⁄M}⁄Æ⁄‚¥¡⁄OÊQ }⁄ƒflÆ⁄ƒfl GŒ⁄flo •⁄‡¡⁄ Æ⁄√æ⁄·¤{—⁄∑ÊfiO⁄fl?

@»⁄¡⁄fl »⁄fl®¤¿‘⁄≠•⁄‡l»⁄´⁄fl≠ G´¤%O⁄fl◊⁄M´⁄Δ« »⁄·¤t »⁄flflW“•⁄¡⁄fl. AV⁄ @»⁄¡⁄flOʇfi¬hflOʇQfit¨M•⁄ 188 P≈ʇfi …flfil¡È •⁄‡¡⁄ Æ⁄√æ⁄·¤{“•⁄ß¡⁄fl.

~¡⁄fl»⁄ ⁄M}⁄Æ⁄‚¥¡⁄OÊQ B ⁄fl≠ GŒ⁄flo •⁄‡¡⁄…•Ê?

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8000 + 500 + 40 �

2000 + 300 + 26

6000 + 200 + 14

6214 ¡⁄‡Æ¤øfl ∑¤P Dÿæ⁄flfl}⁄°•Ê.

G¡⁄s⁄ Êfi ¶ ⁄ 3344 ¡⁄‡Æ¤øfl R^¤%øfl}⁄fl.B ⁄fl≠ GŒ⁄flo ‘⁄y ∑¤P B•Ê?

6214 �

3344

ÀÊÁO⁄–{O⁄ Æ⁄ √»¤—⁄•⁄ ´⁄M}⁄¡⁄ @»⁄¡⁄fl Oʇfilæ⁄flM •¤¬æ⁄·¤W ’M~¡⁄flW•⁄¡⁄fl.~¡⁄fl»⁄ ⁄M}⁄Æ⁄‚¥¡⁄M¨M•⁄ Oʇfilæ⁄flM •¤¬æ⁄·¤W Æ⁄„»⁄fl≈ÊVÊ 502 P≈ʇfi…flfil¡È •⁄‡¡⁄…•Ê.~¡⁄fl»⁄ ⁄M}⁄Æ⁄‚¥¡⁄¶M•⁄ Oʇfilæ⁄flMVÊ 151 P≈ʇfi…flfil¡È •⁄‡¡⁄…•Ê.

Oʇfilæ⁄flM¨M•⁄ Æ⁄„»⁄fl≈ÊVÊ }⁄ƒflÆ⁄ƒfl GŒ⁄flo P≈ʇfi…flfil¡È Æ⁄√æ⁄·¤{—⁄∑ÊfiO⁄fl?

»⁄fl‡¡⁄fl ¶ ⁄V⁄◊⁄ ÀÊÁO⁄–{O⁄ Æ⁄√»¤—⁄OÊQ A‘¤¡⁄O¤QW 8540 ¡⁄‡Æ¤øflæ⁄fl ⁄fl≠ …flfi—⁄Δ¬“•⁄ß¡⁄fl.»Ê‡•⁄ƒ ¶ ⁄•⁄ A‘¤¡⁄O¤QW 2326 ¡⁄‡Æ¤øflæ⁄fl R^¤%øfl}⁄fl.

∑¤P GŒ⁄flo ‘⁄y B•Ê?

8540 �

2326

—ʇ Ê≠øflM•⁄ 6 ⁄fl≠O⁄◊Êæ⁄flƒfl —¤®⁄¥¿…ƒ«

@ƒ«»Êfi?

40 ¬M•⁄ 26 ⁄fl≠O⁄◊Ê•⁄¡Ê?

10 ¬M•⁄ 40 ⁄fl≠O⁄◊Êæ⁄flƒfl

—¤®⁄¥¿…ƒ«»⁄ƒ«»Êfi?

100 ¬M•⁄ 300 ⁄fl≠O⁄◊Êæ⁄flƒ‡

—¤®⁄¥¿…ƒ«»⁄ƒ«»Êfi?

’fiVÊ

∂¡Ê•⁄¡Ê‡fi?

2870 ¡⁄‡Æ¤øfl Dÿæ⁄fl∂‘⁄fl•⁄fl.

6000 + 200 + 10 + 4 �

3000 + 300 + 40 + 4

6000 + 100 + 110 + 4 �

3000 + 300 + 40 + 4

5000 + 1100 + 110 + 4 �

3000 + 300 + 40 + 4

2000 + 800 + 70 + 0

A‘¤¡⁄•⁄ R ⁄fl%

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—¤…¡⁄V⁄◊⁄fl ⁄‡¡⁄flV⁄◊⁄fl ‘⁄}⁄fl°V⁄◊⁄fl JM•⁄flV⁄◊⁄fl

6 1 11 4

3 3 4 4

—¤…¡⁄V⁄◊⁄fl ⁄‡¡⁄flV⁄◊⁄fl ‘⁄}⁄fl°V⁄◊⁄fl JM•⁄flV⁄◊⁄fl

1 10

6 2 1 1 4

3 3 4 4

—¤…¡⁄V⁄◊⁄fl ⁄‡¡⁄flV⁄◊⁄fl ‘⁄}⁄fl°V⁄◊⁄fl JM•⁄flV⁄◊⁄fl

5 10

6 1 1 11 4

3 3 4 4

—¤…¡⁄V⁄◊⁄fl ⁄‡¡⁄flV⁄◊⁄fl ‘⁄}⁄fl°V⁄◊⁄fl JM•⁄flV⁄◊⁄fl

5 11 11 4

3 3 4 4

2 8 7 0

B•Êfi ¬fi~æ⁄flΔ« ⁄flPQV⁄◊⁄ ⁄fl≠ »⁄·¤t ⁄M}⁄¡⁄ ∂¡⁄fl»⁄_}⁄√V⁄◊⁄ ⁄fl≠ —⁄‡_—⁄fl»⁄ —⁄MSÊ¿V⁄◊⁄ ⁄fl≠ O⁄√»⁄fl•⁄Δ« ∂¡Êøfl¬.

JM•Êfi —¤§´⁄•⁄Δ«¡⁄fl»⁄ —⁄MSÊ¿V⁄◊⁄Δ« •Ê‡s⁄u•⁄¬M•⁄—⁄y|•⁄ ⁄fl≠ O⁄◊Ê•⁄fl O⁄√»⁄fl•⁄Δ« ∂¡Êøfl¬.

D•¤ : 1 � 1 = 0 ,

4 � 3 = 1

ƒª“•⁄ ⁄»⁄fl‡ Êæ⁄fl …ÀÊfiŒ⁄}ÊæÊflfi ⁄fl?

1 3 6

1 4 9

…ÀÊfiŒ⁄}Êæ⁄fl ⁄fl≠ O⁄Ms⁄fl’tøfl¬

P√æ⁄·¤ …®¤ ⁄B»Êƒ«»⁄ ⁄‡≠ JnoVÊ P√æÊfl »⁄·¤t•⁄¡Ê‡.

5 11 11

6 1 2 1 1 4 �

3 3 4 4

2 8 7 0

»⁄fl‡¡⁄ Ê ¶ ⁄OÊQ 2870 ¡⁄‡Æ¤øfl ∑¤P B•Ê.

6214 �

3344

2870

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»⁄fl‡¡⁄ Êæ⁄fl ¶ ⁄ A‘¤¡⁄OÊQ 3000 ¡⁄‡Æ¤øfl R^¤%øfl}⁄fl. A‘¤¡⁄O¤QW }ÊVʶ¬“•⁄‘⁄yPQM}⁄ GŒ⁄flo ‘⁄y ‘Ê ⁄fl` R^¤%øfl}⁄fl?

2870 ¡⁄‡Æ¤øfl ∑¤P B}⁄fl°. 3000 ¡⁄‡Æ¤øfl R^¤%øfl}⁄fl..

2870 PQM}⁄ GŒ⁄flo ‘Ê ¤`W•Ê 3000?

2870 OÊQ 30 ⁄fl≠ O⁄‡t“•⁄¡Ê 2900 “V⁄fl»⁄‚¥•⁄fl?

2900 ¡Ê‡M¶VÊ GŒ⁄flo O⁄‡t“•⁄¡Ê 3000 “V⁄∂‘⁄fl•⁄fl?

Jlflo GŒ⁄flo ‘Ê ⁄fl`?

»⁄fl}ʇ°M•⁄fl …®¤ ⁄ :3000 � 3000 � 1 2999 �

2870 287-0 � 1 2869

130

B•Êfi ¬fi~ 5000¶M•⁄ 3407 ⁄fl≠ O⁄◊Êøfl¬.

Æ⁄„»⁄fl≈Ê À¤≈ÊVÊ C »⁄Œ⁄% 1 Êfi }⁄¡⁄V⁄~Vʻʇ•⁄ƒfl —Êfi¬•⁄ »⁄flV⁄fl… ⁄ •¤R≈¤~—⁄MSÊ¿ 3946 AW•Ê. Oʇ´ÊVÊ —Êfi¬•⁄» ⁄flV ⁄fl…´⁄ — ⁄MSÊ ¿ 4007 AW•Ê.‘¤V¤•⁄¡Ê CV⁄ JM•⁄ Êfi }⁄¡⁄V⁄~æ⁄flΔ«Jlflo GŒ⁄flo »⁄flO⁄Q◊⁄fl B•¤ß¡Ê?

O⁄◊Ê•⁄ »⁄Œ⁄% Oʇ ÊVÊ —Êfi¬•⁄ »⁄flV⁄fl… ⁄•¤R≈¤~ —⁄MSÊ¿ GŒ⁄flo?

´¤ ⁄fl O⁄Ms⁄flOʇMs⁄ …®¤ ⁄ —⁄‘⁄ƤqV⁄◊⁄fl O⁄Ms⁄flOʇMs⁄ …®¤ ⁄

3000 •⁄ ∂•⁄ƒfl2999 ¬M•⁄

2870 ⁄fl≠ O⁄◊Ê•⁄fl1 ⁄fl≠ O⁄‡t“•⁄¡Ê

—¤O⁄fl.

D}⁄°¡⁄OÊQ }⁄ƒflÆ⁄ƒflB}⁄¡⁄ …®¤ ⁄V⁄◊⁄flB»Êæ⁄flƒ«»Êfi?

C »⁄Œ⁄% —Êfi¬•⁄ »⁄flO⁄Q◊⁄—⁄MSÊ¿æ⁄fl´⁄fl≠

O⁄Ms⁄fl’tæ⁄flƒfl O⁄◊Ê•⁄»⁄Œ⁄%•⁄ Oʇ Êæ⁄fl

•¤R≈¤~ —⁄MSÊ¿æ⁄fl ⁄fl≠O⁄◊Ê•⁄¡Ê —¤O⁄fl.

GŒ⁄flo »⁄flO⁄Q◊⁄flÆ⁄„»⁄fl≈Ê À¤≈Êæ⁄flΔ« O⁄◊Ê•⁄ »⁄Œ⁄% 1248 »⁄flO⁄Qÿ•⁄ß¡⁄fl. @»⁄¡⁄Δ« 98 »⁄flM¶ À¤≈ÊøflM•⁄‘ʇfi•⁄¡⁄fl. 125 »⁄flM¶ ‘ʇ—⁄•¤W —Êfi¬•⁄¡⁄fl. A•⁄¡Ê C »⁄Œ⁄% À¤≈Êæ⁄flΔ« GŒ⁄flo »⁄flO⁄Qÿ•¤ß¡Ê?

B ⁄fl≠ C »⁄Œ⁄% GŒ⁄flo »⁄flO⁄Q◊⁄fl —Êfi¬•¤ß¡Ê GM•⁄fl O⁄Ms⁄fl’tæ⁄fl∂‘⁄fl•⁄ƒ«»Êfi?

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»⁄flO⁄Q◊⁄ ¶´¤ ⁄¡⁄zÊæ⁄fl @MV⁄»¤W @»⁄fl≈È ⁄ }⁄¡⁄V⁄~æ⁄flΔ« 40 —ÊofiMÆ⁄‚¥V⁄◊⁄fl ƒª“•⁄fl»⁄‚¥.—ʇfi»⁄fl»¤¡⁄ 18 »⁄flO⁄Q◊⁄fl —ÊofiMÆÈ Æ⁄sÊ•⁄flOʇMs⁄¡⁄fl. »⁄flMV⁄◊⁄»¤¡⁄ 12 »⁄flM¶ Æ⁄sÊ•⁄flOʇMs⁄¡⁄fl. GŒ⁄flo —ÊofiMÆ⁄‚¥V⁄◊⁄fl ∑¤P B»Ê GM•⁄fl ‘ÊfiVÊ O⁄Ms⁄fl’tæ⁄fl∂‘⁄fl•⁄fl?

—ʇfi»⁄fl»¤¡⁄ O⁄◊Ê•¤V⁄ GŒ⁄flo —ÊofiMÆ⁄‚¥V⁄◊⁄fl ∑¤P Dÿ¶•⁄flß»⁄‚¥?

»⁄flMV⁄◊⁄»¤¡⁄ O⁄◊Ê•¤V⁄≈ʇfi?

»⁄fl}ʇ°M•⁄fl ¬fi~æ⁄fl ⁄fl≠ ʇfis⁄fl»⁄.

Jlflo Æ⁄sÊ•⁄flOʇMs⁄ —ÊofiMÆ⁄‚¥V⁄◊⁄fl GŒ⁄flo?

∑¤P B¡⁄fl»⁄ —ÊofiMÆ⁄‚¥V⁄◊⁄fl GŒ⁄flo?

æ⁄·¤»⁄ ¬fi~æ⁄flΔ« »⁄·¤s⁄fl»⁄‚¥•⁄fl ‘Ê ⁄fl` —⁄flƒ∫⁄?

V⁄M®⁄•⁄ »⁄fl¡⁄»⁄ ⁄fl≠À¤≈Êæ⁄flΔ« Ês⁄∂‘⁄fl•⁄fl.

∑Êfi¡Ê »⁄flO⁄QÿV⁄‡Oʇs⁄∂‘⁄fl•⁄fl.

´¤ ⁄fl O⁄Ms⁄flOʇMs⁄ …®¤ ⁄ —⁄‘⁄ƤqV⁄◊⁄fl O⁄Ms⁄flOʇMs⁄ …®¤ ⁄

´¤ ⁄fl ⁄ ⁄≠ O⁄fl¬}⁄fl ‘Ë•⁄fl @ƒ«

H ⁄ ⁄fl≠ O⁄Ms⁄flOʇ◊⁄Ÿ∑ÊfiOÊM•⁄fl ~ÿøfl}⁄fl.

‘ÊfiVÊ O⁄Ms⁄flOʇ◊⁄Ÿ∑ÊfiOÊM•⁄fl ~ÿøfl}⁄fl.

P√æÊflV⁄◊⁄ ⁄fl≠ ∑¤øfl≈ÊO⁄Q»¤W »⁄·¤s⁄ƒfl —¤®⁄¥¿»¤øfl}⁄fl.

P√æÊflæ⁄fl ⁄fl≠ —⁄¬æ⁄·¤W »⁄·¤t•Ê ⁄fl.

⁄ ⁄≠ »⁄fl¡⁄" ⁄ ⁄≠ »⁄fl¡⁄' æʇfid Êæ⁄fl @MV⁄»¤W Æ⁄„»⁄fl≈Ê À¤≈ÊVÊ1042 Ws⁄V⁄◊⁄fl ƒª“•⁄fl»⁄‚¥. @»⁄‚¥V⁄◊⁄Δ« 342 —¤V⁄fl»¤¨Ws⁄V⁄◊⁄‡ 167 »⁄·¤… ⁄ Ws⁄V⁄◊⁄‡ 257 »⁄fl‘¤V⁄Ws⁄V⁄◊⁄‡ 8 V⁄M®⁄•⁄ Ws⁄V⁄◊⁄‡ Dÿ•⁄»⁄‚¥V⁄◊⁄fl ‘⁄ƒ“ ⁄Ws⁄V⁄◊⁄‡ AW•⁄flß»⁄‚¥.

Jlflo GŒ⁄flo Ws⁄V⁄◊⁄ ⁄fl≠ »⁄flO⁄QÿVÊ …}⁄¬—⁄≈¤øfl}⁄fl?

GŒ⁄flo ‘⁄ƒ“ ⁄ Ws⁄V⁄◊⁄fl ƒª“»Ê?

»⁄fl‡¡⁄fl ~MV⁄◊⁄fl O⁄◊Ê•¤V⁄ »⁄flO⁄QÿVÊ …}⁄¬“•⁄Ws⁄V⁄◊⁄Δ« 68 Ws⁄V⁄◊⁄fl ´¤À⁄»¤•⁄fl»⁄‚¥. CV⁄ ∑¤PB¡⁄fl»⁄ Ws⁄V⁄◊ÊŒ⁄flo?

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Jlflo GŒ⁄flo ¡⁄‡Æ¤øfl@»⁄fl≈È ⁄ @Æ⁄∞¨VÊ O⁄◊Ê•⁄»¤¡⁄•⁄Δ« —ʇfi»⁄fl»¤¡⁄, ∂fl®⁄»¤¡⁄, À⁄flO⁄√»¤¡⁄, À⁄ »¤¡⁄V⁄◊⁄Δ«Oʃ—⁄…}⁄fl°. Jlflo 2750 ¡⁄‡Æ¤øfl O⁄‡Δ ƒª“}⁄fl. —ʇfi»⁄fl»¤¡⁄ 650 ¡⁄‡Æ¤øflæ⁄fl‡,À⁄ »¤¡⁄ 700 ¡⁄‡Æ¤øflæ⁄fl‡ O⁄‡Δ ƒª“}⁄fl°. ∂fl®⁄»¤¡⁄ »⁄fl}⁄fl° À⁄flO⁄√»¤¡⁄V⁄◊⁄Δ« JM•Êfi¬fi~ O⁄‡Δ ƒª“•Ê.

∂fl®⁄»¤¡⁄ »⁄fl}⁄fl° À⁄flO⁄√»¤¡⁄ ƒª“•⁄ Jlflo O⁄‡Δ GŒ⁄flo?

@•⁄¡⁄Δ« JM•⁄fl ¶ ⁄•⁄ O⁄‡Δ GŒ⁄flo?

‘¤Δ ⁄ ≈ÊO⁄Q@»⁄fl≈È ⁄ »⁄fl ÊøflM•⁄ —ÊÆ⁄oM∂¡È ~MV⁄ÿ¨M•⁄ ‘¤Δ ⁄ —ʇ—ÊÁnVÊ ‘¤ƒfl Oʇs⁄ƒfl A¡⁄Mª“•⁄¡⁄fl.A ~MV⁄◊⁄fl 3340 ¡⁄‡Æ¤øfl ƒª“}⁄fl. @Oʇofi∂¡È ~MV⁄ÿ ⁄Δ« 4265 ¡⁄‡Æ¤øflæ⁄fl‡⁄»⁄M∂¡È ⁄Δ« 3768 ¡⁄‡Æ¤øflæ⁄fl‡ ƒª“}⁄fl. »⁄fl‡¡⁄fl ~MV⁄ÿ ⁄Δ« Jlflo ƒª“•⁄ ‘⁄y»ÊŒ⁄flo?

@Æ⁄∞ d¨“•⁄flß 1976 ¡⁄Δ« »⁄flV⁄ d¨“•⁄flß 2005 ¡⁄Δ«

@Æ⁄∞ »⁄fl}⁄fl° »⁄flV⁄ ⁄ Ƥ√æ⁄flV⁄◊ʇ◊⁄W ⁄ »⁄¿}¤¿—⁄ GŒ⁄flo?

CV⁄ Æ⁄√~æʇ∂π¡⁄ Ƥ√æ⁄fl GŒ⁄flo?

¨»⁄flΩ »⁄fl Êæ⁄fl»⁄¡⁄Ƥ√æ⁄flV⁄◊⁄ ⁄fl≠ OÊfiÿ ~ÿøfl¬.@•⁄¬M•⁄ @»⁄¡⁄fl d¨“•⁄

B—⁄…æ⁄fl ⁄fl≠O⁄Ms⁄fl’tæ⁄fl∂‘⁄fl•⁄ƒ«»Êfi?

—ÊÆ⁄oM∂¡È´⁄Δ« 2004 ¡⁄‡Æ¤øflæ⁄fl´⁄‡≠@Oʇofi∂¡È ⁄Δ« 2770 ¡⁄‡Æ¤øflæ⁄fl ⁄‡≠´⁄»⁄M∂¡È´⁄Δ« 2070 ¡⁄‡Æ¤øflæ⁄fl´⁄‡≠•⁄ ⁄•⁄ A‘¤¡⁄O¤QW R ⁄fl% »⁄·¤s⁄≈¤øfl}⁄fl.‘¤V¤•⁄¡Ê Æ⁄√~fi ~MV⁄◊⁄Δ« DÿOÊæ⁄·¤•⁄‘⁄y»ÊŒ⁄flo?

—ÊÆ⁄oM∂¡È ~MV⁄ÿWM}⁄@Oʇofi∂¡È ~MV⁄◊⁄Δ« GŒ⁄flo‘⁄y ‘Ê ⁄fl` “PQ}⁄fl?

@Oʇofi∂¡È ~MV⁄ÿWM}⁄⁄»⁄M∂¡È ~MV⁄◊⁄Δ« GŒ⁄flo ‘⁄y

O⁄t»Êfl “PQ}⁄fl?

—ÊÆ⁄oM∂¡È »⁄fl}⁄fl° ⁄»⁄M∂¡È~MV⁄◊⁄flV⁄◊⁄Δ« ƒª“•⁄A•¤æ⁄fl•⁄ »⁄¿}¤¿—⁄»ÊŒ⁄flo?

—⁄‘⁄ƤqV⁄◊⁄Δ« OÊfi◊⁄ƒfl B•Êfi¬fi~æ⁄fl Æ⁄√ÀÊ≠V⁄◊⁄ ⁄fl≠ }⁄æ⁄·¤¬“¬.

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OÊ◊⁄VÊ Oʇno¡⁄fl»⁄»⁄‚¥V⁄◊⁄Δ« JM•⁄flD}⁄°¡⁄ —⁄¬æ⁄·¤W•Ê. @•⁄flæ⁄·¤»⁄‚¥•ÊM•⁄fl ∑¤øfl≈ÊO⁄Q»¤WO⁄Ms⁄fl’tæ⁄fl∂‘⁄fl•Êfi?3506, 2405, 2308, 708

7634 �5326

≈¤∫⁄ Æ⁄√∫¤ æʇfid Ê@»⁄fl≈È ⁄ »⁄fl Êæ⁄fl …•⁄fl¿}È …flfil¡È±Ê∂√»⁄¬ ~MV⁄◊⁄ Oʇ´Êæ⁄flΔ« 1866æ⁄fl‡¨mÈ ¬fitMVÈ }ʇfi¬“}⁄fl.»⁄·¤^È% ~MV⁄◊⁄ Oʇ´Êæ⁄flΔ« 2165æ⁄fl‡¨mÈ ⁄fl≠ }ʇfi¬“}⁄fl.»⁄·¤^È% ~MV⁄◊⁄Δ« GŒ⁄flo æ⁄fl‡¨mÈ…•⁄fl¿}⁄° ⁄fl≠ DÆ⁄æʇfiW—⁄≈¤øfl}⁄fl?≈¤∫⁄ Æ⁄√∫¤ æʇfid´Êæ⁄flΔ« —Êfi¬…•⁄fl¿}È ⁄ DÆ⁄æʇfiV⁄ O⁄t»Êfl »⁄·¤s⁄ƒfl@»⁄¡⁄fl ~fi»⁄·¤%¨“•⁄¡⁄fl. GØ√≈È ~MV⁄◊⁄ Oʇ Êæ⁄flΔ« …flfil¡È 2402 æ⁄fl‡¨l ⁄fl≠}ʇfi¬“}⁄fl.≈¤∫⁄ Æ⁄√∫¤ æʇfid ÊVÊ —Êfi¬•⁄ ⁄M}⁄¡⁄ …•⁄fl¿~° ⁄DÆ⁄æʇfiV ⁄» ⁄´ ⁄ fl ≠ O ⁄t»Êfl » ⁄·¤s ⁄ƒfl—¤®⁄¥¿»¤øfl}Êfi?GŒ⁄flo æ⁄fl‡¨mÈ …•⁄fl¿}⁄ °´⁄fl≠ Dÿ}¤æ⁄fl»⁄·¤s⁄ƒfl —¤®⁄¥¿»¤øfl}⁄fl?

⁄ ⁄V⁄‡ —¤®⁄¥¿…•Ê

$ C ~MV⁄◊⁄ Oʇ Êæ⁄fl ¶ ⁄ »⁄flΩ »⁄fl}⁄fl°—⁄‘⁄ƤqV⁄◊⁄ »⁄fl Êæ⁄fl …flfil¡È ⁄Δ«GŒ⁄flo æ⁄fl‡¨mÈ }ʇfi¬—⁄fl}⁄°•Ê GM•⁄flO⁄Ms⁄fl’tøfl¬. ´⁄M}⁄¡⁄•⁄ ~MV⁄◊⁄Oʇ´Êæ⁄fl ¶´⁄ Æ⁄‚¥´⁄N …flfil¡È´⁄Δ«Ê‡fit GŒ⁄flo æ⁄fl‡¨mÈ …•⁄fl¿}⁄° ⁄fl≠

DÆ⁄æʇfiW— ⁄≈¤W•Ê GM•⁄flO⁄Ms⁄fl’tøfl¬.

$ O⁄t»Êfl …•⁄fl¿}È DÆ⁄æʇfiW“•⁄»⁄fl Ê æ⁄·¤»⁄‚¥•⁄fl?

$ …•⁄fl¿~ °´ ⁄ ∂◊⁄O Êæ⁄fl´⁄fl ≠ O ⁄t»Êfl»⁄·¤s⁄ƒfl H Ê≈¤« »⁄·¤s⁄∂‘⁄fl•ÊM•⁄flA≈ʇfi_“ ʇfit. Gƒ«¡⁄‡ —Êfi¬@•⁄ ⁄fl≠ O¤æ⁄fl%V⁄}⁄Vʇÿ“¬.$ @»⁄fl≈È´⁄ @Æ⁄∞´⁄‡, @»⁄flΩ´⁄‡ ÆÊfimÊVÊ ‘ʇfiV⁄ƒfl

~fi»⁄·¤%¨“•⁄¡⁄fl. J∂π¬VÊ nOÊfin ⁄ •⁄¡⁄ 18 ¡⁄‡Æ¤øfl.@»⁄fl≈È ⁄ @Æ⁄∞ O⁄Ms⁄O⁄o¡È OÊÁæ⁄flΔ« 100 ¡⁄‡Æ¤øflOʇlo¡⁄fl. O⁄Ms⁄O⁄ o¡È 2 ¡⁄‡Æ¤øflæ⁄fl G¡⁄s⁄fl´¤y¿V⁄◊⁄´⁄fl≠ ’M¶¡⁄flW“ 40 GM•⁄fl ‘Êfiÿ•⁄. 3BÆ⁄∞}⁄fl° ¡⁄‡Æ¤øflV⁄◊⁄ ´Ê‡filflV⁄◊⁄´⁄fl≠ Oʇlflo CV⁄⁄‡¡¤øfl}ÊM•⁄fl ‘Êfiÿ•⁄.

¨fi»⁄‚¥ B•⁄ ⁄fl≠ ‘ÊfiVÊ …»⁄¬—⁄fl~°fi¬?

æ⁄·¤}Ê√

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O⁄fllflM∂ ∂eÊmÈ@»⁄flƒ´⁄ »⁄fl´Êæ⁄fl @Oʇofi∂¡È ~MV⁄◊⁄ O⁄fllflM∂ ∂eÊl´⁄fl≠ Æ⁄¬ÃfiΔ“¬. ∏lflo‘ʇfi•⁄»⁄‚¥V⁄◊⁄ ⁄fl≠ ∫⁄~%»⁄·¤t¬.

A•¤æ⁄fl ¡⁄‡Æ¤øfl R ⁄fl% ¡⁄‡Æ¤øfl

O⁄‰œøflM•⁄ 4735 A‘¤¡⁄‘¤ƒfl »⁄·¤¬•⁄ ∑¤∂fl° 4265 Æ⁄√æ⁄·¤y 500

…•⁄fl¿}È ^¤dfl% 400±Ê≥„fi´È ∏≈È 330∂mÊo ∂¡Ê 460»⁄fl ⁄¡⁄Md Ê, Æ⁄~√OÊ, »⁄·¤—⁄Æ⁄~√OÊV⁄◊⁄fl 480…•¤¿∫¤¿—⁄ 325A¡Ê‡fiV⁄¿ 400

Jlflo Jlflo 7445

A•¤æ⁄fl »⁄fl}⁄fl° R ⁄fl%V⁄◊ʇ◊⁄W ⁄ »⁄¿}¤¿—⁄»ÊŒ⁄flo?

B•Êfi ¬fi~ ¨»⁄flΩ O⁄fllflM∂ ∂eÊl ⁄fl≠ }⁄æ⁄·¤¬“¬.

JM•⁄fl »Ê‡∑ÊÁ≈È ±Ê≥„fi¨ ⁄ ∑Ê≈Ê 3450 ¡⁄‡Æ¤øflæ⁄·¤W•Ê. ‘⁄◊Êæ⁄fl ±Ê≥„fi ⁄ ⁄fl≠ »⁄·¤¬•¤V⁄700 ¡⁄‡Æ¤øfl ƒª“}⁄fl. ‘¤V¤•⁄¡Ê ‘ʇ—⁄ »Ê‡∑ÊÁ≈È ±Ê≥„fi´ÈVÊ B ⁄fl≠ GŒ⁄flo ‘⁄yOʇs⁄∑ÊfiO⁄fl?

A Ê»⁄fl≈Ê À¤≈Êæ⁄flΔ« G≈È.Ø., æ⁄flfl.Ø., ‘ÊÁ—⁄‡Q≈È …∫¤V⁄V⁄◊⁄⁄≈¤«W 2060 »⁄flO⁄Qÿ•¤ß¡Ê.G≈È.Ø. …∫¤V⁄•⁄Δ« 358 »⁄flO⁄Q◊⁄‡ æ⁄flfl.Ø. …∫¤V⁄•⁄Δ« 449 »⁄flO⁄Q◊⁄‡ B•¤ß¡Ê.

� ‘ÊÁ—⁄‡Q≈È …∫¤V⁄•⁄Δ« GŒ⁄flo »⁄flO⁄Qÿ•¤ß¡Ê?

� æ⁄flfl.Ø. …∫¤V⁄PQM}⁄ GŒ⁄flo ‘Ê ⁄fl` »⁄flO⁄Q◊⁄fl ‘ÊÁ—⁄‡Q≈È …∫¤V⁄•⁄Δ«•¤ß¡Ê?

»⁄·¤t´Ê‡fis⁄fl»⁄

OÊ◊⁄VÊ Oʇno¡⁄fl»⁄»⁄‚¥V⁄◊⁄Δ« æ⁄·¤»⁄‚¥•⁄¡⁄ D}⁄°¡⁄»⁄‚¥2550 AW•Ê?$ 7200 � 4750

$ 6300 -� 3750

$ 5800 � 3650

2407 -� 2407 -�

1539 1539

868 978

æ⁄·¤»⁄ D}⁄°¡⁄ —⁄¬æÊflM•⁄fl O⁄◊Ê•⁄fl ʇfis⁄•Ê ‘ÊfiVÊO⁄Ms⁄fl’tæ⁄fl∂‘⁄fl•⁄fl?

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‘ʇ¡⁄∫¤V⁄•⁄ D¡⁄fln´⁄Δ«¡⁄fl»⁄ OʇfizÊV⁄◊⁄—⁄MSÊ¿V⁄ÿM•⁄ J◊⁄∫¤V⁄•⁄ D¡⁄fln´⁄Δ«¡⁄fl»⁄OʇfizÊV⁄◊⁄ —⁄MSÊ¿V⁄◊⁄ ⁄fl≠ O⁄◊Ê•¤V⁄ 4023 “V⁄fl»⁄¬fi~æ⁄flΔ« —⁄MS¤¿ ⁄O⁄√»⁄ ⁄fl≠ Æ⁄„~%Vʇÿ“¬.

∂eÊmÈO⁄‰œO⁄ ¤•⁄ ¡¤»⁄flfl O⁄◊Ê•⁄ ´¤ƒflQ »⁄Œ⁄%•⁄}⁄ ⁄≠ D}¤∞•⁄ ¤ R ⁄% ⁄fl≠ Æ⁄¬ÃfiΔ“‘Êfiÿ•⁄ß ⁄fl≠ ʇfit¬. O⁄◊Ê•⁄ »⁄Œ⁄%•⁄ R ⁄fl%C »⁄Œ⁄%•⁄ R_%WM}⁄ 1439 ¡⁄‡Æ¤øfl O⁄t»Êflæ⁄·¤W}⁄fl°. A•⁄¡Ê O⁄◊Ê•⁄ »⁄Œ⁄%PQM}⁄ 2496¡⁄‡Æ¤øfl O⁄t»Êflæ⁄·¤W}⁄fl° @•⁄PQM}⁄ »Ê‡•⁄ƒ »⁄Œ⁄%•⁄flß. @•⁄¡⁄ »Ê‡•⁄Δ ⁄ »⁄Œ⁄% C»⁄Œ⁄%PQM}⁄ 4429 ¡⁄‡Æ¤øflV⁄◊⁄Œ⁄flo O⁄t»Êflæ⁄·¤W}⁄fl°. C »⁄Œ⁄%•⁄ R ⁄fl% 9827¡⁄‡Æ¤øfl.

4 »⁄Œ⁄%V⁄◊⁄ D}¤∞•⁄ ¤ R ⁄% ⁄fl≠ O⁄Ms⁄fl’tøfl¬.

@~fi O⁄t»Êfl R^¤%•⁄ ‘⁄y GŒ⁄flo?

JM•⁄fl n.….æ⁄fl ∑Ê≈Ê 6780 ¡⁄‡Æ¤øflæ⁄fl‡ t.….t. ÆÊ«fiæ⁄fl¡È ⁄ ∑Ê≈Ê 2490 ¡⁄‡Æ¤øflæ⁄fl‡AW•Ê. B»Ê¡⁄s⁄´⁄fl≠ JnoVÊ Æ⁄sÊ•⁄flOʇ◊⁄flŸ»¤V⁄ ∑Ê≈Êæ⁄flΔ« 1390 ¡⁄‡Æ¤øflV⁄◊⁄ O⁄t}⁄ƒª—⁄fl»⁄‚¥•¤•⁄¡Ê B»⁄‚¥V⁄◊⁄ ⁄fl≠ Æ⁄sÊæ⁄flƒfl GŒ⁄flo ‘⁄y Oʇs⁄∑ÊfiO⁄fl?

A Ê»⁄fl≈Ê »¤t% ⁄ d ⁄—⁄MSÊ¿ 1780 AW•Ê. @Δ« Æ⁄‚¥¡⁄flŒ⁄¬WM}⁄ 80 »⁄flM¶ »⁄fl’◊Êæ⁄fl¡⁄fl‘Ê ⁄fl` B•¤ß¡Ê. »⁄fl’◊Êæ⁄fl¡⁄ »⁄fl}⁄fl° Æ⁄‚¥¡⁄flŒ⁄¡⁄ —⁄MSÊ¿ GŒ⁄flo?

—⁄MS¤¿ ⁄O⁄√»⁄ ⁄fl≠ Æ⁄„~%Vʇÿ“¬

6006 �

3987

3987 ¡Ê‡M¶VÊ 13´⁄fl≠ O⁄‡t“•⁄¡Ê 4000.4000 •Ê‡M¶VÊ 2000»⁄ ⁄fl≠ O⁄‡t“•⁄¡Ê 6000.

6000 •Ê‡M¶VÊ 6 ⁄fl≠ O⁄‡t“•⁄¡Ê 60062000 + 13 + 6 = 2019

6530 �

2520

6500 ¬M•⁄ 2500 O⁄◊Ê•⁄¡Ê 4000. 30¬M•⁄ 20 ⁄fl≠ O⁄◊Ê•⁄¡Ê 104000 + 10 = 4010

C P√æÊflæ⁄fl D}⁄°¡⁄ O⁄Ms⁄fl’tæ⁄flƒfl B¡⁄fl»⁄B}⁄¡⁄ …®¤ ⁄V⁄◊⁄fl æ⁄·¤»⁄‚¥»⁄‚¥?

2 ����� 2 ����� 1 ����� 1 = 3

3 ����� 3 ����� 2 ����� 2 = 5

4 ����� 4 -����� 3 ����� 3 = 7

9 ����� 9 -����� 8 ����� 8 = .....

V⁄fl{—⁄fl»¤ O⁄◊Êæ⁄flfl»¤∑¤øfl≈ÊO⁄Q»¤W O⁄Ms⁄fl’tøfl¬5982 ����� 3694 = 2288 A•⁄¡Ê5980 ����� 3694 =5982 ����� 3692 =5980 ����� 3692 =‘ÊfiVÊ O⁄Ms⁄fl’t¶¬?

3035

8000 5011

9006

6104

7014 7462

4023

7058

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•⁄flM∏VÊ —⁄‘¤æ⁄fl »⁄·¤s⁄∂‘⁄fl•Êfi?JM•⁄fl ‘⁄‡… ⁄ eÊfi ⁄ ⁄fl≠ ’fi¡⁄ƒfl »⁄·¤}⁄√ •⁄flM∏VÊ —¤®⁄¥¿»¤V⁄Δƒ«. @•⁄fl »⁄fl®⁄¥¿•⁄OʇfizÊV⁄◊⁄Δ«¡⁄fl»⁄ —⁄MSÊ¿V⁄◊⁄ »⁄¿}¤¿—⁄»¤W ∑¤¡⁄•⁄ ‘⁄‡»¤W•Ê. @•⁄fl æ⁄·¤»⁄‚¥•ÊM•⁄flO⁄Ms⁄fl’tæ⁄fl∂‘⁄fl•Êfi?

R_% ⁄ …®⁄V⁄◊⁄fl }ÊVʶ¬“•⁄flß R^¤%•⁄fl•⁄fl(¡⁄‡Æ¤øflV⁄◊⁄Δ«) (¡⁄‡Æ¤øflV⁄◊⁄Δ«)

A‘¤¡⁄ 5400 4896

∂mÊo, Æ⁄√æ⁄·¤y, »⁄fl•⁄flß »⁄fl}⁄fl° A ⁄¡⁄zÊ 2625 2980

±Ê≥„fi´È, …•⁄fl¿}È, n.…, Æ⁄~√OÊ,BMl¡È ÊmÈ, Æ⁄√O⁄lzÊV⁄◊⁄fl 2075 1948

B}⁄¡⁄ 2500 3075

Aæ⁄fl»⁄¿æ⁄flÃf nfi ⁄¡⁄ O⁄◊Ê•⁄ ~MV⁄ÿ ⁄ ∂eÊl ⁄fl≠ ʇfit¬.

}ÊVʶ¬“•⁄fl•⁄PQM}⁄ R ⁄fl% ‘Ê Ê‡`fi O⁄t»Êflæʇfi?

æ⁄·¤»⁄ …®⁄•⁄ R ⁄fl% }ÊVʶ¬“•⁄ ‘⁄yPQM}⁄ ‘Ê ¤`øfl}⁄fl? GŒ⁄flo ‘Ê ⁄fl`?

æ⁄·¤»⁄ …®⁄•⁄ R ⁄fl% }ÊVʶ¬“•⁄ ‘⁄yPQM}⁄ O⁄t»Êflæ⁄·¤øfl}⁄fl? GŒ⁄flo O⁄t»Êfl?

3 � 3 � 1 � 1 = 4 � 2

4 � 4 � 2 � 2 = 6 � 2

5 � 5 � 3 � 3 = 8 � 2

................................

................................

12 � 12 � 10 � 10 = .........

4 � 4 � 1 � 1 = 5 � 3

5 � 5 � 2 � 2 = 7 � 3

6 � 6 � 3 � 3 = 9 � 3

................................

................................

13 � 13 � 10 � 10 = .........

4096 6087 865

98 4809 5000

191 3944 5222 767 4135

1087 3998

713 1278

3231 1998

904 4711 1991 5989 4902 $ —⁄M∂M®⁄ O⁄Ms⁄fl’t•⁄fl Æ⁄noæ⁄fl ⁄fl≠Æ⁄„~%Vʇÿ“¬.

$ B•Êfi ¬fi~æ⁄fl B}⁄¡⁄ ´⁄»⁄fl‡´ÊV⁄◊⁄ ⁄fl≠ }⁄æ⁄·¤¬“¬.

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B•⁄fl æ⁄·¤»⁄ O⁄≈¤¡⁄‡Æ⁄?C _}⁄√¶M•⁄ »⁄flVÊ Æ⁄¬_}⁄»¤•⁄ æ⁄·¤»Ê≈¤« e¤¿…fl~ AO⁄‰~V⁄◊⁄ ⁄fl≠ O⁄Ms⁄flOʇ◊⁄Ÿƒfl—¤®⁄¥¿?G≈¤« ~√Oʇfi ⁄V⁄ÿV⁄‡ OÊMÆ⁄‚¥ ∂y|»⁄ ⁄fl≠ Oʇt¬.D¡⁄fllflV⁄ÿV⁄‡ Aæ⁄fl}⁄V⁄ÿV⁄‡ BŒ⁄o…¡⁄fl»⁄ ∂y|V⁄◊⁄´⁄fl≠ ‘⁄_` _}⁄√»⁄´⁄fl≠@M•⁄Vʇÿ“¬.

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C D¡⁄fln´⁄ »⁄fl®⁄¥¿∫¤V⁄•⁄Δ«´¤y¿»⁄ ⁄fl≠ DÆ⁄æʇfiW“ JM•⁄flD¡⁄fll ⁄fl≠ ¡⁄_“¬.

D¡⁄fll ⁄fl≠ »⁄‰}⁄°»ÊM•⁄fl‘Êfi◊⁄∂‘⁄fl•⁄ƒ«»Êfi?

D¡⁄fln´Ê‡◊⁄VÊ

GŒ⁄flo D¡⁄fllflV⁄◊⁄ ⁄fl≠ ¡⁄_—⁄ƒfl

—¤®⁄¥¿»¤øfl}⁄fl?

VÊ◊Êæ⁄fl ⁄fl GŒ⁄flo _}⁄√V⁄◊⁄ ⁄fl≠

¡⁄_“•⁄ ⁄fl?

}⁄¡⁄V⁄~æ⁄flΔ« @~ ‘Ê ⁄fl` ¡⁄_“¡⁄fl»⁄‚¥•⁄fl

æ⁄·¤¡⁄fl?

Æ⁄√~æʇM•⁄fl _}⁄√•⁄ƒ‡« JM•⁄fl VÊ¡ÊG◊Ê•⁄fl G¡⁄s⁄fl Aæ⁄fl}⁄V⁄◊⁄ ⁄fl≠ ¡⁄_“¬.

……®⁄ AO⁄‰~V⁄ÿVÊ ∂y|Oʇlflo Aøfl}⁄ƒ«»Êfi. C AO⁄‰~V⁄◊⁄ ⁄fl≠ ‘ÊfiVÊ ¡⁄_—⁄∂‘⁄fl•⁄fl?

D¡⁄fll ⁄fl≠ ¡⁄_—⁄ƒfl æ⁄·¤»⁄ æ⁄·¤»⁄ »⁄—⁄fl°V⁄◊⁄ ⁄fl≠ ∂◊⁄—⁄∂‘⁄fl•⁄fl?

´¤y¿, ...................................................................................................

JM•⁄fl Aæ⁄fl}⁄•⁄Δ« }⁄flM∑¤D¡⁄fllflV⁄◊⁄ ⁄fl≠ ¡⁄_“¡⁄fl»⁄‚¥•⁄ ⁄fl≠ʇfit¬.

D¡⁄fln ⁄ J◊⁄VÊ —⁄»⁄·¤ ⁄ @◊⁄}Êøfl¡⁄fl»⁄D¡⁄fllflV⁄◊⁄ ⁄fl≠ ¡⁄_“¬.

Aæ⁄fl}⁄ Aæ⁄fl}⁄

C Aæ⁄fl}⁄•⁄ »⁄fl®⁄¥¿∫¤V⁄•⁄Δ«JM•⁄fl D¡⁄fll ⁄fl≠ ¡⁄_“¬.

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OÊ◊⁄VÊ Oʇno¡⁄fl»⁄»⁄‚¥V⁄◊⁄Δ« æ⁄·¤»⁄‚¥•⁄fl Aæ⁄fl}⁄»¤W•Ê?

æ⁄·¤OÊ?

´¤ ⁄fl O⁄Ms⁄flOʇMs⁄•⁄flß$ JM•⁄fl VÊ¡Êæ⁄flfl @•⁄¡⁄ ‘⁄~°¡⁄•⁄ VÊ¡ÊVÊ ƒM∂»¤W¡⁄∑ÊfiO⁄fl.

$

$

$

O⁄Ms⁄fl’tæ⁄flfl»⁄ ∂y| ‘⁄ ⁄fl`»⁄@ ⁄fl ¡⁄_“•⁄ _}⁄√V⁄◊⁄Δ« Aæ⁄fl}⁄V⁄◊⁄fl æ⁄·¤»⁄‚¥»⁄‚¥?

1 2 3 4 5

JM•⁄fl VÊ¡Êæ⁄fl ⁄fl≠ G◊Ê•⁄fl Aæ⁄fl}⁄ »⁄fl}⁄fl° ~√Oʇfi ⁄V⁄◊⁄ ¤≠W ∂•⁄≈¤øfl“¬.

G¡⁄s⁄fl VÊ¡ÊV⁄◊⁄M}Ê G◊Ê•⁄fl Aæ⁄fl}⁄V⁄◊⁄´⁄fl≠¡⁄_“¬. Aæ⁄fl}⁄V⁄◊⁄ —⁄MSÊ¿æ⁄fl ⁄fl≠ ∂¡Êøfl¬.

Gƒ«¬V⁄‡ ƒª—⁄fl»⁄ Aæ⁄fl}⁄V⁄◊⁄ —⁄MSÊ¿—⁄»⁄·¤ ⁄»¤W•ÊæÊflfi?

æ⁄·¤»⁄‚¥•⁄fl Aæ⁄fl}⁄?

…¡⁄fl•⁄™ ∂¶V⁄◊⁄fl —⁄»⁄·¤ ⁄»⁄„

—⁄…flfiÆ⁄•⁄ ∂¶V⁄◊⁄fl ƒM∂»¤Wæ⁄fl‡

B¡⁄fl»⁄ AO⁄‰~æ⁄·¤W•Ê Aæ⁄fl}⁄.

´¤ ⁄fl O⁄Ms⁄flOʇMs⁄•⁄flß 1 2 3 4 5

´¤ƒflQ ∂¶V⁄ÿ»Ê´¤ƒflQ »⁄fl‡≈ÊV⁄ÿ»Ê´¤ƒflQ ∂¶V⁄◊⁄Δ«æ⁄fl‡ JM•⁄fl VÊ¡ÊVÊ ƒM∂»¤W @•⁄¡⁄—⁄…flfiÆ⁄•⁄ VÊ¡Ê B•Ê.…¡⁄fl•⁄™ ∂¶V⁄◊⁄fl —⁄»⁄·¤ ⁄

$ ¨fi»⁄‚¥ O⁄Ms⁄fl’t•⁄ Aæ⁄fl}⁄V⁄ÿVÊ ∂y| Oʇt¬.

_}⁄√ �

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@Mdfl »⁄fl}⁄fl° VÊ◊Êæ⁄fl¡⁄fl @®¤¿Æ⁄O⁄ ¶´¤^⁄¡⁄zÊV¤W À⁄fl∫¤À⁄æ⁄fl Æ⁄}⁄√V⁄◊⁄´⁄fl≠}⁄æ⁄·¤¬—⁄fl}¤°¡Ê.

∂¶V⁄◊⁄‡ »⁄fl‡≈ÊV⁄◊⁄‡

Aæ⁄fl}¤O⁄‰~æ⁄flΔ«¡⁄fl»⁄ À⁄fl∫¤À⁄æ⁄fl Æ⁄}⁄√»⁄ ⁄fl≠ }⁄æ⁄·¤¬—⁄ƒfl •⁄Æ⁄∞•⁄ O¤V⁄•⁄»⁄ ⁄fl≠¨fi»⁄‚¥ ‘ÊfiVÊ O⁄}⁄°¬—⁄fl…¬?$$ »⁄fl‡≈ÊV⁄◊⁄ ⁄fl≠ ‘ÊfiVÊ

—⁄¬‘ʇM¶—⁄∂‘⁄fl•⁄fl?‘ʇM¶“lfloʇfit•⁄¡Ê‡fi

C _}⁄√OÊQ‘ʇM¶“lflo»⁄fl‡≈ÊV⁄◊⁄ ⁄fl≠—⁄¬Æ⁄t—⁄∂‘⁄fl•⁄ƒ«»Êfi.

‘Ê—⁄¡⁄fl À⁄fl∫¤À⁄æ⁄fl Æ⁄}⁄√•⁄ ∂¶V⁄◊⁄fl

...... —Ê.…flfi., ...... —Ê.…flfi., ...... —Ê.…flfi., ...... —Ê.…flfi.

$ —⁄‘⁄ƤqV⁄◊⁄fl }⁄æ⁄·¤¬“•⁄ À⁄fl∫¤À⁄æ⁄fl Æ⁄}⁄√V⁄◊⁄ ∂¶V⁄◊⁄fl

$ ´¤ ⁄fl }⁄æ⁄·¤¬“•⁄ À⁄fl∫¤À⁄æ⁄fl Æ⁄}⁄√•⁄ ´¤ƒflQ ∂¶V⁄◊⁄ D•⁄ßV⁄◊⁄fl

—Ê.…flfi. —Ê.…flfi. —Ê.…flfi. —Ê.…flfi.

$ æ⁄·¤¡⁄ æ⁄·¤¡⁄ À⁄fl∫¤À⁄æ⁄fl Æ⁄}⁄√V⁄ÿVÊ Aæ⁄fl}⁄•⁄ G≈¤« …ÀÊfiŒ⁄}ÊV⁄◊⁄fl B»Ê?

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G≈¤« ∂¶V⁄◊⁄ @◊⁄}ÊV⁄◊⁄fl—⁄»⁄·¤ ⁄»¤W¡⁄fl»⁄

Aæ⁄fl}⁄»¤W•Ê ËO⁄.

10 —Ê.…flfi., 8 —Ê.…flfi., 6 —Ê.…flfi., 5 —Ê.…flfi. @◊⁄}Êæ⁄fl »⁄fls⁄ƒ O⁄tuV⁄◊⁄ ⁄fl≠ }⁄flMs⁄¬“ }ÊVÊøfl¬.B»⁄‚¥V⁄◊⁄ ⁄fl≠ DÆ⁄æʇfiW“ OÊ◊⁄VÊ Oʇno¡⁄fl»⁄ @◊⁄}ÊV⁄◊⁄Δ« Aæ⁄fl}⁄V⁄◊⁄ ⁄fl≠ ¡⁄_“ ʇfit¬.

¡⁄_“ ʇfit¬ O⁄Ms⁄fl’tøfl¬

æ⁄·¤»⁄ æ⁄·¤»⁄ @◊⁄}ÊV⁄ÿM•⁄ Aæ⁄fl}⁄V⁄◊⁄ ⁄fl≠ ¡⁄_—⁄ƒfl —¤®⁄¥¿…ƒ«? æ⁄·¤OÊ?

$

$

$

$

@ ⁄fl ¡⁄_“•⁄ Aæ⁄fl}⁄»⁄ ⁄fl≠ ʇfit¬.

1 10 —Ê.…flfi., 8 —Ê.…flfi., 10 —Ê.…flfi., 8 —Ê.…flfi.

2 10 —Ê.…flfi., 6 —Ê.…flfi., 6 —Ê.…flfi., 5 —Ê.…flfi.

3 8 —Ê.…flfi., 6 —Ê.…flfi., 6 —Ê.…flfi., 8 —Ê.…flfi.,

4 5 —Ê.…flfi., 5 —Ê.…flfi., 10 —Ê.…flfi., 8 —Ê.…flfi.,

5 6 —Ê.…flfi., 10 —Ê.…flfi., 10 —Ê.…flfi., 6 —Ê.…flfi.,

6 8 —Ê.…flfi., 8 —Ê.…flfi., 8 —Ê.…flfi., 8 —Ê.…flfi.,

V⁄{}¤O⁄‰~V⁄◊⁄flO⁄MÆ⁄„¿l¡È DÆ⁄æʇfiW“ ……®⁄ V⁄{}¤O⁄‰~V⁄◊⁄´⁄fl≠¡⁄_—⁄∂‘⁄fl•⁄fl. B•⁄O¤QW fæʇfif∂√ (GeoGebra)

—ʇfi±Èo»Êfi¡È DÆ⁄æʇfiW—⁄∂‘⁄fl•⁄fl. I.n. @ —⁄‡QΔ ⁄D∂flMlfl… ⁄ —ʇfi±Èo»Êfi¡È }Ê¡Êæ⁄flΔ¡⁄fl»⁄ …®¤ ⁄Application � Education � GeoGebra

Aæ⁄fl}⁄•⁄…ÀÊfiŒ⁄}ÊV⁄◊⁄fl

´Ê´⁄Ø•Êæ⁄flƒ«»Ê.

C Aæ⁄fl}⁄•⁄ …ÀÊfiŒ⁄}ÊæÊflfi ⁄fl?

8 —Ê.…flfi.

8 —Ê.…flfi.

8 —Ê.

…flfi. 8

—Ê.…flfi.

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80 …flfil¡È

50 …

flfil¡È

O⁄flloÆ⁄∞ ⁄ ∫⁄}⁄°•⁄ ∂æ⁄flƒfl Aæ⁄fl}¤O⁄‰~æ⁄flΔ«•Ê. @»⁄ ⁄fl æ⁄·¤»¤V⁄ƒ‡ ∑ÊÿVÊX O⁄‰œæ⁄fl ⁄fl≠ʇfis⁄ƒfl ∂æ⁄flΔ ⁄ —⁄fl}⁄°ƒfl ⁄sÊæ⁄flfl~°•⁄ß ⁄fl. ⁄sÊæ⁄flƒfl A¡⁄Mª“ Æ⁄‚¥ ⁄N @•Êfi —⁄§◊⁄OÊQ }⁄ƒflÆ⁄‚¥»¤V⁄

@»⁄ ⁄fl GŒ⁄flo …flfil¡È •⁄‡¡⁄ ⁄sʶ¡⁄∂‘⁄fl•⁄fl?

—⁄‘⁄ƤqV⁄◊⁄fl O⁄Ms⁄flOʇMs⁄•⁄flß´¤ ⁄fl O⁄Ms⁄flOʇMs⁄•⁄flß

O⁄flloÆ⁄∞ ⁄ ∫⁄}⁄°•⁄ ∂æ⁄flƒfl

⁄»⁄flΩ —⁄fl}⁄fl°»⁄flfl}⁄°ƒfl O¤yfl»⁄ Aæ⁄fl}⁄, ~√Oʇfi ⁄, »⁄fl}⁄fl° »⁄‰}⁄° GM∏»⁄‚¥V⁄◊⁄ ⁄fl≠ O⁄Ms⁄fl’t•⁄fl∂¡Êøfl¬.

»⁄—⁄fl°V⁄◊⁄fl AO⁄‰~

$ ´¤y¿ »⁄‰}⁄°

$ —⁄‡ ⁄ ¤ ±⁄ƒO⁄ ..............................

$

$

$

$

$

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O⁄tuæ⁄fl‡ Aæ⁄fl}⁄»⁄„

6 —Ê.…flfi.

Aæ⁄fl}⁄V⁄◊⁄ ⁄fl≠ ¡⁄_—⁄ƒfl

4 O⁄tuV⁄◊⁄fl ∑ÊfiO⁄ƒ«»Êfi?

@»⁄‚¥V⁄◊⁄Δ« G¡⁄sÊ¡⁄s⁄flO⁄tuV⁄◊⁄ @◊⁄}ÊV⁄◊⁄fl

—⁄»⁄·¤ ⁄»¤W¡⁄∑ÊfiO⁄ƒ«»Êfi

Aæ⁄fl}⁄•⁄ —⁄fl}⁄°◊⁄}Êæ⁄flfl´¤ƒflQ ∂¶V⁄◊⁄ @◊⁄}ÊV⁄◊⁄

»Ê‡}⁄°»¤W•Ê.

B•⁄¡⁄ —⁄fl}⁄°◊⁄}Ê = —Ê.…flfi.

JM•⁄fl ^ËO⁄•⁄ ∂¶æ⁄fl D•⁄ß»⁄ ⁄fl≠ ´¤ƒQ¬M•⁄V⁄fl{“•¤V⁄ @•⁄¡⁄ —⁄fl}⁄°◊⁄}Êæ⁄flfl “V⁄fl»⁄‚¥•⁄fl.

O⁄tuV⁄◊⁄ O⁄loV⁄◊⁄ ⁄fl≠ ʇfit¶¡⁄ƒ«»Êfi. C O⁄tuV⁄◊⁄ ⁄fl≠ DÆ⁄æʇfiW“ Aæ⁄fl}⁄V⁄◊⁄ ⁄fl≠ ¡⁄_—⁄∑ÊfiO⁄fl.10 —Ê.…flfi.

5 —Ê.…flfi.

^ËO⁄•⁄ —⁄fl}⁄°◊⁄}ÊAÀ¤ 10 —Ê.…flfi D•⁄ß…¡⁄fl»⁄ O⁄tuV⁄◊⁄ ⁄fl≠ DÆ⁄æʇfiW“ ^ËO⁄»⁄ ⁄fl≠ ¨…fl%“•⁄◊⁄fl.

O⁄tuV⁄◊⁄ ⁄fl≠ DÆ⁄æʇfiW“ ∂Ãfi¡È }⁄æ⁄·¤¬“•⁄ Aæ⁄fl}⁄»⁄ ⁄fl≠ ʇfit¬.

6 —Ê.

…flfi.

10 —Ê.…flfi.

@s⁄uO⁄‡Q filO⁄‡Q B¡⁄fl»⁄ ∂¶V⁄◊⁄ @◊⁄}ÊV⁄◊⁄ ⁄fl≠ O⁄‡t“ G¡⁄s⁄¬M•⁄ V⁄fl{“•⁄¡Ê Aæ⁄fl}⁄•⁄—⁄fl}⁄°◊⁄}Êæ⁄flfl “V⁄fl»⁄‚¥•⁄fl.

∂Ãfi¡È ¨…fl%“•⁄ Aæ⁄fl}⁄•⁄ ´¤ƒflQ O⁄tuV⁄◊⁄ Jlflo D•⁄ß

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OÊ◊⁄VÊ Oʇno¡⁄fl»⁄ AO⁄‰~V⁄◊⁄ —⁄fl}⁄°◊⁄}Êæ⁄fl ⁄fl≠ O⁄Ms⁄fl’tøfl¬.

æ⁄·¤»⁄‚¥•Êfi AO⁄‰~æ⁄fl —⁄fl}⁄°◊⁄}Ê GM•⁄¡Ê @•⁄¡⁄G≈¤« ∂¶V⁄◊⁄ Jlflo D•⁄ß»¤W•Ê.

}ʇfilOʇQM•⁄fl }⁄M~ ∑ÊfiΔÀ¤≈Êæ⁄fl }⁄¡⁄O¤¬ }ʇfilOÊQ }⁄M~ ∑ÊfiΔ ‘¤O⁄∑ÊfiO⁄fl.Aæ⁄fl}¤O⁄‰~æ⁄flΔ«¡⁄fl»⁄ ∑ÊMsÊO¤øfl }ʇfilO⁄‡Q, ËO¤O⁄‰~æ⁄flΔ«¡⁄fl»⁄ ‘⁄¬»Ê }ʇfilO⁄‡Q∑ÊfiΔ O⁄lo∑ÊfiO¤W•Ê.

’fiV⁄‡ AO⁄‰~V⁄◊⁄flC AO⁄‰~æ⁄fl —⁄fl}⁄°◊⁄}Êæ⁄fl ⁄fl≠ O⁄Ms⁄fl’tøfl¬.(@◊⁄}ÊV⁄◊⁄fl —ÊMn …flfil¬ ⁄Δ«•Ê)

5 …flfil

¡È

4 …flfil¡È

3 3

5

4 43 3

3 3

4 4

7 …flfil¡È

6 —Ê.…flfi.

2 —Ê.

…flfi.

—⁄fl}⁄°◊⁄}Ê 6 —Ê.…flfi.

2 —Ê.

…flfi.

3 —Ê.

…flfi.

—⁄fl}⁄°◊⁄}Ê

3 —Ê.…flfi.

3 —Ê.…flfi.

3 —Ê.

…flfi.

—⁄fl}⁄°◊⁄}Ê 5 —Ê.…flfi.

4 —Ê.…

flfi.4 —Ê.…flfi.

3 —Ê.…flfi.

8 —Ê.

…flfi.

—⁄fl}⁄°◊⁄}Ê

3 —Ê.…flfi.

8 —Ê.

…flfi.

—⁄fl}⁄°◊⁄}Êæ⁄fl ⁄fl≠ O⁄Ms⁄fl’tæʇfiy

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JM•⁄fl …flfil¡È D•⁄ß•⁄Δ« }⁄M~ ‘¤O⁄ƒfl 20 ¡⁄‡Æ¤øfl R^¤%V⁄fl»⁄‚¥•¤•⁄¡Ê JM•⁄fl—¤ƒfl }⁄M~ ‘¤O⁄ƒfl GŒ⁄flo ¡⁄‡Æ¤øfl R^¤%V⁄∂‘⁄fl•⁄fl?

∑ÊMsÊO¤øfl }ʇfil•⁄ —⁄fl}⁄°◊⁄}Ê = …flfil¡È

‘⁄¬»Ê }ʇfil•⁄ —⁄fl}⁄°◊⁄}Ê = …flfil¡È

G¡⁄s⁄‡ }ʇfilV⁄◊⁄ Jlflo —⁄fl}⁄°◊⁄}Ê =.......... + ..........

JM•⁄fl —¤ƒfl }⁄M~ ‘¤O⁄ƒfl }⁄V⁄ƒfl»⁄ R ⁄fl% = 20 ��—⁄fl}⁄°◊⁄}Ê =

5 —¤Δ ⁄ ∑ÊfiΔæ⁄fl ⁄fl≠ ‘¤O⁄fl»⁄‚¥•¤•⁄¡Ê?

≈ÊO⁄Q »⁄·¤t ʇfisʇfiyJM•⁄fl Aæ⁄fl}⁄•⁄ D•⁄ß 6 —Ê.…flfi., @V⁄ƒ 4 —Ê.…flfi. —⁄fl}⁄°◊⁄}Ê GŒ⁄flo?

JM•⁄fl Aæ⁄fl}⁄•⁄ D•⁄ß 8 —Ê.…flfi. AW•Ê. @•⁄¡⁄ —⁄fl}⁄°◊⁄}Ê 24 —Ê.…flfi. A•⁄¡Ê @V⁄ƒ»ÊŒ⁄flo?

JM•⁄fl Aæ⁄fl}⁄•⁄ D•⁄ß »⁄fl}⁄fl° @V⁄ƒV⁄◊⁄ »Ê‡}⁄° 14 —Ê.…flfi. A•⁄¡Ê @•⁄¡⁄ —⁄fl}⁄°◊⁄}ÊGŒ⁄flo?

22 —Ê.…flfi. —⁄fl}⁄°◊⁄}Êøfl¡⁄fl»⁄ JM•⁄fl Aæ⁄fl}⁄•⁄ D•⁄ß »⁄fl}⁄fl° @V⁄ƒV⁄◊⁄fl æ⁄·¤»⁄ æ⁄·¤»⁄@◊⁄}ÊV⁄◊⁄Δ«¡⁄∂‘⁄fl•⁄fl?

~√Oʇfi ⁄»⁄ ⁄fl≠ Æ⁄„~%Vʇÿ“, —⁄fl}⁄°◊⁄}Êæ⁄fl ⁄fl≠O⁄Ms⁄fl’t•⁄fl ∂¡Êøfl¬.

JM•⁄fl ~√Oʇfi ⁄•⁄ —⁄fl}⁄°◊⁄}Ê 30 —Ê.…flfi., B•⁄¡⁄ G¡⁄s⁄fl ∂¶V⁄◊⁄ D•⁄ß 10 —Ê.…flfi. »⁄fl}⁄fl°9 —Ê.…flfi. A•⁄¡Ê »⁄fl‡¡⁄ Êæ⁄fl ∂¶æ⁄fl D•⁄߻ʌ⁄flo?

JM•⁄fl ^ËO⁄•⁄ —⁄fl}⁄°◊⁄}Êæ⁄flfl 20 —Ê.…flfi., ‘¤V¤•⁄¡Ê JM•⁄fl ∂¶æ⁄fl D•⁄߻ʌ⁄flo?

Aæ⁄fl}⁄»⁄ ⁄fl≠ Æ⁄„~%Vʇÿ“—⁄fl}⁄°◊⁄}Êæ⁄fl ⁄fl≠ ∂¡Êøfl¬.

D}⁄°¡⁄»⁄ ⁄fl≠}⁄ƒflÆ⁄ƒfl B}⁄¡⁄…®¤ ⁄V⁄◊⁄‡B»Êæ⁄flƒ«»Êfi

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∑ÊMPÆÊnoVÊ Aæ⁄fl}⁄»⁄flO⁄Q◊⁄fl V⁄flMØ ⁄Δ« ∑ÊMPO⁄tuV⁄◊⁄ ⁄fl≠ DÆ⁄æʇfiW“ Aæ⁄fl}⁄V⁄◊⁄ ⁄fl≠ …fl%—⁄fl~°•¤ß¡Ê.

Æ⁄√~æʇ∂π¬V⁄‡ 20 ¡⁄M}Ê ∑ÊMPO⁄tuV⁄◊⁄ ⁄fl≠ Oʇno¡⁄fl»⁄¡⁄fl. @»⁄¡⁄fl ¨…fl%“•⁄Aæ⁄fl}⁄•⁄ D•⁄ß »⁄fl}⁄fl° @V⁄ƒV⁄◊⁄fl æ⁄·¤»⁄ æ⁄·¤»⁄ @◊⁄}ÊV⁄◊⁄≈¤«W¡⁄∂‘⁄fl•⁄fl?

V⁄flMÆ⁄‚¥ D•⁄ßOÊQ DÆ⁄æʇfiW“•⁄ @V⁄ƒ•⁄Δ« DÆ⁄æʇfiW“•⁄ Jlflo∑ÊMPO⁄tuV⁄◊⁄ —⁄MSÊ¿ ∑ÊMPO⁄tuV⁄◊⁄ —⁄MSÊ¿ ∑ÊMPO⁄tuV⁄◊⁄fl

1 8 + 8 = 16 2 + 2 = 4 20

2 ... + ... = 10

3

4

5

´¤ ⁄fl O⁄Ms⁄flOʇMs⁄•⁄flß

10 —Ê.…flfi.6 —Ê.

…flfi.

A¨æ⁄fl OÊÁæ⁄flΔ« 24 —ÊMn…flfil¡È D•⁄ß…¡⁄fl»⁄ —⁄¬VÊøfl•Ê. @•⁄ ⁄fl≠ DÆ⁄æʇfiW“@»⁄ÿVÊ æ⁄·¤»⁄ æ⁄·¤»⁄ @◊⁄}ÊV⁄◊⁄Δ«¡⁄fl»⁄ Aæ⁄fl}⁄»⁄ ⁄fl≠ ¨…fl%—⁄∂‘⁄fl•⁄fl?¨…fl%“¡⁄fl»⁄‚¥•⁄fl ^ËO⁄»¤•⁄¡Ê @•⁄¡⁄ JM•⁄fl ∂¶æ⁄fl D•⁄߻ʌ⁄flo?

_}⁄√ (1) ¡⁄ Aæ⁄fl}⁄•⁄ …¡⁄fl•⁄™ »⁄fl‡≈ÊV⁄◊⁄ »⁄fl‡ƒO⁄ O⁄}⁄°¬“ _}⁄√ (2) ¡⁄Δ«¡⁄fl»⁄M}ÊG¡⁄s⁄fl ~√Oʇfi ⁄V⁄◊⁄ ¤≠W »⁄·¤s⁄≈¤W•Ê.

_}⁄√ (1) ¡⁄ Aæ⁄fl}⁄•⁄ —⁄fl}⁄°◊⁄}Ê =

_}⁄√ (2) ¡⁄ ~√Oʇfi ⁄V⁄◊⁄ Jlflo —⁄fl}⁄°◊⁄}Ê = +

_}⁄√ (1) _}⁄√ (2)

8 —Ê.…flfi.

=

Aæ⁄fl}⁄ »⁄fl}⁄fl° ~√Oʇfi ⁄

—⁄‘⁄ƤqV⁄◊⁄fl O⁄Ms⁄flOʇMs⁄•⁄flß

—⁄¬VÊ Aæ⁄fl}⁄

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B•Êfi ¬fi~ ⁄flPQV⁄◊⁄ ⁄fl≠ ‘¤P @»⁄‚¥V⁄◊⁄ ⁄fl≠ eʇfit“ ‘ʇ—⁄ ⁄»⁄fl‡ ÊV⁄◊⁄ ⁄fl≠ O⁄Ms⁄fl’tøfl¬.

~¡⁄flW ~¡⁄flW»⁄fl‡¡⁄fl ∂¶V⁄◊⁄‡ 6 —ÊMnfi …flfil¡⁄flV⁄◊⁄M~¡⁄fl»⁄•Ê‡s⁄u ~√Oʇfi ⁄»⁄ ⁄fl≠ O⁄Mt¡⁄ƒ«»Êfi? B•⁄¡⁄ —⁄fl}⁄°◊⁄}Ê

GŒ⁄flo? —Ê.…flfi.

B•⁄¡⁄ ∂¶V⁄◊⁄ »⁄fl®⁄¥¿•⁄Δ«¡⁄fl»⁄ »⁄fl‡¡⁄fl ⁄flPQV⁄◊⁄ ⁄fl≠eʇfit“ »⁄fl}ʇ°M•⁄fl ~√Oʇfi ⁄»⁄ ⁄fl≠ ¡⁄_“•¤ß¡Ê.

@•⁄¡⁄ JM•⁄fl ∂¶æ⁄fl D•⁄ß —Ê.…flfi.

—⁄fl}⁄°◊⁄}Ê —Ê.…flfi.

G¡⁄s⁄ Êæ⁄fl•¤W ¡⁄_“•⁄ ~√Oʇfi ⁄•⁄ ∂¶V⁄◊⁄ »⁄fl®⁄¥¿•⁄Δ« ⁄flPQV⁄◊⁄ ⁄fl≠ ‘¤P @»⁄‚¥V⁄◊⁄ ⁄fl≠eʇfit“ @•⁄¡⁄ J◊⁄W ⁄ ~√Oʇfi ⁄»⁄ ⁄fl≠ ¡⁄_—⁄≈¤W•Ê. B•⁄¡⁄ JM•⁄fl ∂¶æ⁄fl D•⁄߻ʌ⁄flo?

—⁄fl}⁄°◊⁄}Ê?

JM•⁄fl O¤V⁄•⁄Δ« 3 ⁄flPQV⁄◊⁄ ⁄fl≠ ‘¤P¬. A ⁄flPQV⁄◊⁄ ⁄fl≠ eʇfit“ VÊ¡ÊV⁄◊⁄ ⁄fl≠ ¡⁄_“¬.~√Oʇfi ⁄V⁄◊⁄fl “V⁄fl}⁄°»ÊæÊfl?> ⁄flPQV⁄◊⁄ —¤§ ⁄ GΔ«•⁄ß¡⁄‡ ~√Oʇfi ⁄»⁄ ⁄fl≠ ¡⁄_—⁄ƒfl —¤®⁄¥¿»Ê?

Oʇno¡⁄fl»⁄ Aæ⁄fl}⁄•Ê‡◊⁄W ⁄ ⁄flPQV⁄◊⁄ ⁄fl≠ eʇfit“ ⁄»⁄fl‡ Êæ⁄fl ⁄fl≠ Æ⁄„~%Vʇÿ“¬.

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eʇfit“ Bsʇfiy

»⁄flflM¶ ⁄ _}⁄√»⁄ ⁄fl≠ ∏t“¬.

@•⁄¡⁄Δ« GŒ⁄flo ~√Oʇfi ⁄V⁄ÿ»Ê?

´¤ ⁄fl O⁄Ms⁄flOʇMs⁄•⁄flß

Gs⁄∫¤V⁄•⁄Δ«¡⁄fl»⁄ _}⁄√OÊQ ∂y| ‘⁄_`•⁄M}Ê ∂ƒ∫¤V⁄•⁄Δ«¡⁄fl»⁄ _}⁄√O⁄‡Q ∂y| Oʇt¬.

OÊ◊⁄VÊ Oʇno¡⁄fl»⁄ _}⁄√OÊQ …ª ⁄≠ ¬fi~æ⁄flΔ« ∂y| Oʇt¬.

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Oʃ»⁄‚¥ AO⁄‰~V⁄◊⁄fl

BM}⁄‘⁄ AO⁄‰~V⁄◊⁄ ⁄fl≠ ¨fi»⁄‚¥ O⁄Mt¶ßfi¡¤?¨»⁄flVÊ Æ⁄¬_}⁄…¡⁄fl»⁄ BM}⁄‘⁄ AO⁄‰~V⁄◊⁄ ⁄fl≠ ∂¡Êøfl¬.

Jlflo GŒ⁄flo?_}⁄√•⁄Δ« Jlflo GŒ⁄flo Aæ⁄fl}⁄V⁄ÿ»Ê?

_}⁄√•⁄Δ« Jlflo GŒ⁄flo ~√Oʇfi ⁄V⁄ÿ»Ê?

∑ÊMP O⁄tuV⁄◊⁄fl

Aæ⁄fl}⁄ —⁄°M∫⁄ Vʇfiƒ$ $

$ $

$ $

$ $

∑ÊMP O⁄tuøflM•⁄ ¡⁄_“•⁄ »Ê‡•⁄ƒAæ⁄fl}⁄•⁄Δ« GŒ⁄flo O⁄tuV⁄ÿ»Ê?

G¡⁄s⁄ Êfi AO⁄‰~æ⁄flΔ« GŒ⁄flo ∑ÊMP O⁄tuV⁄ÿ»Ê?

‘¤W•⁄ß¡Ê B•Êfi ¬fi~ 3 Aæ⁄fl}⁄V⁄◊⁄fl —Êfi¬ ∂¡⁄fl»⁄ AO⁄‰~æ⁄fl ⁄fl≠ ¡⁄_—⁄ƒfl GŒ⁄flo O⁄tuV⁄◊⁄fl∑ÊfiO¤V⁄∂‘⁄fl•⁄fl?

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^ËO⁄V⁄◊⁄fl

GŒ⁄flo ^ËO⁄V⁄ÿ»Ê?

10 —Ê.…flfi. @◊⁄}Êæ⁄fl ∂¶V⁄◊⁄fl◊⁄Ÿ JM•⁄fl ^ËO⁄•⁄ —⁄fl}⁄°◊⁄}Ê GŒ⁄flo?

C ËO⁄»⁄ ⁄fl≠ »⁄fl®⁄¥¿•⁄Δ« }⁄flMs⁄¬“ G¡⁄s⁄fl Aæ⁄fl}⁄V⁄◊⁄ ⁄fl≠ »⁄·¤t•⁄¡Ê Æ⁄√~æʇM•⁄fl

Aæ⁄fl}⁄•⁄ —⁄fl}⁄°◊⁄}Ê GŒ⁄flo?

—⁄fl}⁄°◊⁄}Ê

∂y| Oʇs⁄fl»⁄

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Æ⁄‚¥ ⁄¡⁄»⁄≈ʇfiO⁄ ⁄

Ƥp⁄ 1 : ´¤ƒQMOÊ —⁄MSÊ¿V⁄◊ʇM¶VÊ$ JM•⁄fl ¨¶%Œ⁄o —⁄MSÊ¿øflM•⁄ A¡⁄Mª“ »⁄flflM•⁄fl»⁄¬“

∂¡Êæ⁄flfl}¤°¡Ê ‘⁄}⁄fl° —¤…¡⁄•⁄»⁄¡ÊVÊ$ ´¤ƒQMOÊ —⁄MSÊ¿V⁄◊⁄ ⁄fl≠ ∂¡Êæ⁄flfl»⁄‚¥•⁄fl »⁄fl}⁄fl° K•⁄fl»⁄‚¥•⁄fl.$ ´¤ƒQMOÊ —⁄MSÊ¿V⁄◊⁄ ⁄fl≠ —⁄M•⁄∫ʇ%fi_}⁄»¤W …ª ⁄≠ ¬fi~æ⁄flΔ«

»¤¿S¤¿¨—⁄fl»⁄‚¥•⁄fl.$ ´¤ƒQMOÊ —⁄MSÊ¿V⁄◊⁄ ⁄fl≠ —¤§ ⁄∑Ê≈ÊV⁄ ⁄fl—¤¡⁄»¤W …MV⁄t“ »⁄fl}⁄fl°

…—⁄°¬“ ∂¡Êæ⁄flfl»⁄‚¥•⁄fl.$ ´¤ƒQMOÊ —⁄MSÊ¿V⁄◊⁄´⁄fl≠ }⁄flƒ´Ê »⁄·¤s⁄Δ¡⁄fl»⁄ ¬fi~æ⁄fl´⁄fl≠

…»⁄¬—⁄fl»⁄‚¥•⁄fl.$ ¨¶%Œ⁄o —⁄MSÊ¿æ⁄fl @MOÊV⁄◊⁄ ⁄fl≠ A»⁄~%“æ⁄fl‡ @ƒ«•Êæ⁄fl‡

∂¡Êæ⁄fl∂‘⁄fl•¤•⁄ —⁄MSÊ¿V⁄◊⁄ ⁄fl≠ ∂¡Êæ⁄flfl»⁄‚¥•⁄fl.$ —⁄MS¤¿ ÀÊ√fi{æ⁄fl æ⁄flflP°æ⁄fl ⁄fl≠ O⁄Ms⁄flOʇMs⁄fl …»⁄¬—⁄fl»⁄‚¥•⁄fl.$ ´¤ƒQMOÊ —⁄MSÊ¿V⁄◊⁄ ⁄fl≠ J◊⁄VʇMs⁄ Ƥ√æʇfiWO⁄ —⁄»⁄fl—Ê¿V⁄◊⁄ ⁄fl≠

Æ⁄¬‘⁄¬—⁄fl»⁄‚¥•⁄fl.Ƥp⁄ : —⁄»⁄flæ⁄fl ⁄O⁄√$ …fl¨nVÊ —ÊO⁄flMs⁄fl »⁄fl}⁄fl° V⁄MmÊæʇM¶W¡⁄fl»⁄ —⁄M∂M®⁄»⁄ ⁄fl≠

…»⁄¬—⁄fl»⁄‚¥•⁄fl.$ V⁄tæ⁄·¤¡⁄/ »¤^È Ê‡fit —⁄»⁄flæ⁄fl»⁄ ⁄fl≠ ≈ÊO⁄Q ‘¤O⁄fl»⁄‚¥•⁄fl.$ 24 V⁄MmÊæ⁄fl V⁄tæ⁄·¤¡⁄•⁄Δ« ¨fit¡⁄fl»⁄ —⁄»⁄flæ⁄fl»⁄ ⁄fl≠ 12

V⁄MmÊæ⁄fl V⁄tæ⁄·¤¡⁄•⁄Δ«æ⁄fl‡ ~¡⁄flW“æ⁄fl‡ ∂•⁄Δ“‘Êfi◊⁄fl»⁄‚¥•⁄fl.

$ —⁄»⁄flæ⁄fl»⁄ ⁄fl≠ am/pm DÆ⁄æʇfiW“ ‘Êfi◊⁄fl»⁄‚¥•⁄fl.$ —⁄»⁄flæ⁄flOÊQ —⁄M∂M©“•⁄ Ƥ√æʇfiWO⁄ —⁄»⁄fl—Ê¿V⁄◊⁄´⁄fl≠

Æ⁄¬‘⁄¬—⁄fl»⁄‚¥•⁄fl.$ —⁄»⁄flæ⁄fl »⁄·¤’~ Æ⁄noæ⁄fl´⁄fl≠ …ÀÊ«fiœ“ ~fi»⁄·¤%´⁄OÊQ

}⁄ƒflÆ⁄‚¥»⁄‚¥•⁄fl.$ —⁄»⁄·¤æ⁄·¤»⁄©æ⁄fl ⁄fl≠ E’“ ‘Êfi◊⁄fl»⁄‚¥•⁄fl.$ BMW«fiŒÈ ~MV⁄◊⁄ ¶»⁄—⁄/~MV⁄◊⁄fl/»⁄Œ⁄% GM∂ O⁄√»⁄fl•⁄Δ«

•¤RΔ—⁄fl»⁄‚¥•⁄fl.$ O¤¿≈ÊMs⁄¡È ´Ê‡fit BMW«fiŒÈ ~MV⁄◊⁄ ¶´¤MO⁄V⁄◊ʇM¶VÊ

À⁄O⁄»⁄Œ⁄%, Oʇƒ«»⁄Œ⁄%, ’f¡⁄ »⁄Œ⁄%, ¶´¤MO⁄V⁄◊⁄´⁄fl≠O⁄Ms⁄flOʇMs⁄fl ∂¡Êæ⁄flfl»⁄‚¥•⁄fl.

$ —⁄»⁄flæ⁄fl ¡ÊfiSÊ }⁄æ⁄·¤¬—⁄fl»⁄‚¥•⁄fl.

O⁄ΔO¤ —¤®⁄ ÊV⁄◊⁄fl´⁄´⁄VÊ nfi^⁄¡⁄ B´⁄‡≠—¤®⁄¥¿ —⁄‘¤æ⁄fl•Ê‡M¶VÊ D}⁄°»⁄flÆ⁄t—⁄

—¤®⁄¥¿ ∑ÊfiO¤W•Ê

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O⁄ΔO¤ —¤®⁄ ÊV⁄◊⁄fl´⁄´⁄VÊ nfi^⁄¡⁄ B´⁄‡≠—¤®⁄¥¿ —⁄‘¤æ⁄fl•Ê‡M¶VÊ D}⁄°»⁄flÆ⁄t—⁄

—¤®⁄¥¿ ∑ÊfiO¤W•Ê

Ƥp⁄ 3 : —¤…¡⁄V⁄◊⁄fl —Êfi¡⁄fl»¤V⁄$ —⁄MO⁄ƒ ⁄ P√æÊflV⁄◊⁄ ʇ≠◊⁄VʇMs⁄ Ƥ√æʇfiWO⁄ —⁄»⁄fl—Ê¿V⁄◊⁄ ⁄fl≠

Æ⁄¬‘⁄¬—⁄fl»⁄‚¥•⁄fl.$ —⁄»⁄fl—¤¿ Æ⁄¬‘¤¡⁄ ¬fi~V⁄◊⁄ ⁄fl≠ …»⁄¬—⁄fl»⁄‚¥•⁄fl.$ D}⁄°¡⁄»⁄ ⁄fl≠ ∑¤øfl≈ÊO⁄Q»¤W ‘Êfi◊⁄fl»⁄‚¥•⁄fl.$ —⁄»⁄fl—¤¿ Æ⁄¬‘¤¡⁄O¤QW •⁄}¤°MÀ⁄V⁄◊⁄ ⁄fl≠ Æ⁄no »⁄·¤s⁄fl»⁄‚¥•⁄fl.$ —⁄MS¤¿ ÀÊ√fi{V⁄◊⁄ æ⁄flflP°æ⁄fl ⁄fl≠ …»⁄¬—⁄fl»⁄‚¥•⁄fl.$ D}⁄°¡⁄»⁄ ⁄fl≠ •⁄‰v⁄}ÊøflM•⁄ ‘Êfi◊⁄fl»⁄‚¥•⁄fl.

Ƥp⁄ 4 : ‘Ê ⁄fl` »⁄fl}⁄fl° O⁄t»Êfl$ »⁄¿»⁄O⁄ƒ ⁄ P√æÊflV⁄◊⁄ ʇ≠◊⁄VʇMs⁄ Ƥ√æʇfiWO⁄ —⁄»⁄fl—Ê¿V⁄◊⁄ ⁄fl≠

Æ⁄¬‘⁄¬—⁄fl»⁄‚¥•⁄fl.$ —⁄»⁄fl—¤¿ Æ⁄¬‘¤¡⁄ ¬fi~V⁄◊⁄ ⁄fl≠ …»⁄¬—⁄fl»⁄‚¥•⁄fl.$ D}⁄°¡⁄»⁄ ‚ ¥ —⁄¬æ⁄·¤W•Êæʇfi GM•⁄fl Æ⁄¬ÃfiΔ—⁄Δ¡⁄fl»⁄

»⁄·¤V⁄%»⁄ ⁄fl≠ …»⁄¬—⁄fl»⁄‚¥•⁄fl.$ D}⁄°¡⁄»⁄ ⁄fl≠ ∑¤øfl≈ÊO⁄Q»¤W ‘Êfi◊⁄fl»⁄‚¥•⁄fl.$ —⁄»⁄fl—¤¿ Æ⁄¬‘¤¡⁄O¤QW •⁄}¤°MÀ⁄V⁄◊⁄ ⁄fl≠ Æ⁄no»⁄·¤s⁄fl»⁄‚¥•⁄fl.$ —⁄MS¤¿ ÀÊ√fi{V⁄◊⁄ æ⁄flflP°æ⁄fl ⁄fl≠ —⁄»⁄fl£%—⁄fl»⁄‚¥•⁄fl.$ D}⁄°¡⁄»⁄ ⁄fl≠ •⁄‰v⁄}ÊøflM•⁄ ‘Êfi◊⁄fl»⁄‚¥•⁄fl.

Ƥp⁄ 5 : AO⁄‰~V⁄◊⁄ ⁄fl≠ ¡⁄_—ʇfiy$ —⁄fl}⁄fl°»⁄flfl}⁄°Δ¨M•⁄ Aæ⁄fl}⁄, ~√Oʇfi´⁄, D¡⁄fllfl GM∏fi

AO⁄‰~V⁄◊⁄ ⁄fl≠ Æ⁄√}Ê¿fiP“ ~ÿæ⁄flfl»⁄‚¥•⁄fl.$ D¡⁄flm¤•⁄ »⁄—⁄fl°V⁄◊⁄ ⁄fl≠ DÆ⁄æʇfiW“ »⁄‰}⁄°»⁄ ⁄fl≠ ¡⁄_—⁄fl»⁄‚¥•⁄fl.$ ¨¶%Œ⁄o @◊⁄}Êøflƒ«•⁄ Aæ⁄fl}⁄ »⁄fl}⁄fl° ~√Oʇfi ⁄»⁄ ⁄fl≠ ¡⁄_—⁄fl»⁄‚¥•⁄fl.$ ~√Oʇfi´⁄, Aæ⁄fl}⁄, ^ËO⁄ GM∏»⁄‚¥V⁄◊⁄ —⁄fl}⁄ °◊⁄}Êæ⁄fl´⁄fl≠

¨R¡⁄}ÊæʇM¶VÊ ≈ÊO⁄Q»⁄·¤s⁄fl»⁄ ¬fi~æ⁄fl ⁄fl≠ …»⁄¬—⁄fl»⁄‚¥•⁄fl.$ Aæ⁄fl}⁄•⁄ —⁄fl}⁄°◊⁄}Êæ⁄fl ⁄fl≠ E’“ ‘Êfi◊⁄fl»⁄‚¥•⁄fl.$ JM•Êfi —⁄fl}⁄°◊⁄}Êæ⁄fl …ª ⁄≠ D•⁄ß »⁄fl}⁄fl° @V⁄ƒ…¡⁄fl»⁄ Aæ⁄fl}⁄V⁄◊⁄

@◊⁄}ÊV⁄◊⁄ ⁄fl≠ O⁄Ms⁄fl’t•⁄fl …»⁄¬—⁄fl»⁄‚¥•⁄fl..$ —⁄fl} ⁄ fl °» ⁄ flfl} ⁄ °Δ¡ ⁄fl» ⁄ e¤¿…fl~fiæ⁄fl ´ ⁄» ⁄ fl‡´ ÊV ⁄◊ ⁄´ ⁄ fl ≠

O⁄Ms⁄flOʇ◊⁄flŸ»⁄‚¥•⁄fl.$ e¤¿…fl~æ⁄fl AO⁄‰~V⁄◊⁄ ⁄fl≠ @M•⁄»¤W ¡⁄_—⁄fl»⁄‚¥•⁄fl.$ ~√»⁄·¤ ⁄ _}⁄√V⁄◊⁄ ⁄fl≠ AO⁄‰~V⁄ÿV⁄ ⁄fl—¤¡⁄»¤W »⁄Wfi%O⁄¬—⁄fl»⁄‚¥•⁄fl.