Ks; .eg¨ ks¾udK lrkfha mqfrda.dñhd''''' 05 fY%aKsh mdg

mdg m

dg .

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01

m%Yak ish,a,gu ms,s;=re imhkak'

mdg mdg .Kx biafldaf,

.Ks; .eg¨ ks¾udK lrkfha mqfrda.dñhd'''''

05 fY%aKshB.A(ECON)SP, AATY%S' ,x' .=' fia' 2 - II fY%aKsh

nqoaê mÍlaIKh yd úNjH;dudk

W!j m<d;a miq.sh úNd. m%Yak .eg¨ 11 m;%h

071 556 0003

ksnkaOk wxl - 05

1" 2 m%Yakj, § we;s foaj,a hï ,laIKhla u; ldKav lsysmhlg fjka

l< yelsh' ksjerÈ j ldKav fjka l< ms<s;=r f;darkak'

1'

2'

1) AB, BF, BD 2) AC, BF, CD 3) AD, BF, CE

1) AB, BD 2) AC, BD 3) BC, AD

3' iukaf.a u,a,S kqjka h' kqjkag ifydaoßfhda fofofkla yd nd,

ifydaorfhda fofofkla isá;s' kqjkag isák ifydaoßhka .Kk iy

ifydaorhka .Kk ms<sfj<ska oelafjk ms<s;=r f;darkak'

1& ifydaoßhka 2hs' ifydaorhka 2hs'



4' Ball hk jpkh ixfla; fhdodf.k f,i ,shd

;snqKs' ta wkqj Bag hk jpkh ixfla; u.ska olajd we;s

wdldrh jkafka"

1& 2&

3&

A B C D E F

A B C D

mdg m

dg .

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02nqoaê mÍlaIKh yd úNjH;dudk 071 556 0003

6' fmf¾od 2019 fmnrjdß 26 jk w`.yrejdod h' 2019 ud¾;= 2 odg fh§ we;s

oji l=ula o@

1& isl=rdod 2& fikiqrdod 3& bßod

5' fuu bámkaou ñks;a;= 40l ld,hla oe,afjhs' úÿ,sh fkdue;s

meh 2l ld,hla mqrdjg ldurhl wdf,dalh ,nd .ekSug

oe,aúh hq;= bámkaoï .Kk lSho@

1& 2 2& 3 3& 4

7' my; igyka wkqj ysia;ekg .e<fmk rEmh wh;a ms<s;=r f;darkak'

F E kï" L .......................

1& T 2& W 3& H

8' fuu msróvfha ;%sfldaKdldr me;sj, ks,a mdg o"

iup;=ri%dldr me;af;a r;= mdg o wdf,am lr we;'

ks,a mdg wdf,am lr we;s uqyqK;a .Kk lSh o@

1& 3 2& 4 3& 5

9' by; >k jia;=j ;sria w;g yß ueÈka fldgia folla ,efnk fia fjka

l< miq tu jia;= fofla u oelsh yels iup;=ri% uqyqK;a .Kk lSh o@

1& 1 2& 2 3& 3

k.rhl ia:dk lsysmhl msysàu iy tu ia:dkj,g hk ud¾. oelafjk

o< igykla my; oelafõ' th weiqfrka 10 iy 11 m%Yak iòyd ms<s;=re

imhkak'

mkai,

mdi,

mqia;ld,h

nia kej;=ïfmd< (B)


mdg m

dg .

Kx bi

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10' iuka mdi, ksu ù uyck mqia;ld,hg hk ,§' Tyq uyck mqia;ld,hg

hk úg ol=Kq mig;a" jï mig;a yereKq jdr .Kk ms<sfj<ska"

1& ol=Kq mig 3hs" jï mig 3hs'

2& jï mig 3hs" ol=Kq mig 3hs'

3& ol=Kq mig 4hs" jï mig 3hs'

11' iuka mdi, ksu ù iji 3'00 uyck mqia;ld,hg hdu iòyd mdif,a

f.aÜgqj wi< isák úg Tyqf.a fijKe,a, Tyqf.a jï w; me;a;g jeà

;snqKs' Tyq uqyqK,d isák ÈYdj l=ula o@

1& W;=re ÈYdj 2& ol=Kq ÈYdj 3& kef.kysr ÈYdj

12' 90 isg 99 olajd we;s .Ks; ixLHd ,sùfï § 9 b,lalu ,súh hq;= jdr

.Kk lSh o@

1& 10 2& 9 3& 11

13' 16 # 4 = 6 * 2 .Ks;uh iïnkaO;djfha # yd * ixfla; iòyd Ndú;d

lr we;s .Ks; l¾u fol fudkjd o@

1& ÷ yd + 2& - yd x 3& + yd -

14' tl È.g u weoye¨Kq j¾Idj iu`. r;ak úoHd,h cQ,s 23 jeks nodod isg

tl È.g Èk 8la fikiqrdod yd bßod;a we;=`Mj jid ;nk ,§' kej;

r;ak úoHd,h újD; lrk ,oafoa"

1& cq,s 31 n%yiam;skaod h' 2& cQ,s 30 nodod h'

3& cQ,s 29 w`.yrejdod h'

15' NdKAvhl ñ, remsh,a 9400la úh' ksu,ag tu NdKAvh .ekSug wjYH úh'

tfy;a Tyq <`. ;snqfKa remsh,a 6800la muKs' b;sß uqo, ñ;=rka

fofofkl=f.ka iu iuj b,a,d f.k ksu,a NdKavh ñ,g .;af;a h' tla

ñ;=frla ÿka uqo, lSh o@

1& re' 2600 2& re' 1300 3& re' 1400

16' ld,sx.f.a .fï l%Svd iñ;sfha idudcslhska ld,sx. yd ;j;a 14

fofkla isà' iEu uila mdid u idudcslhska tla tla

idudcslhdf.a ksjfia § /ia fõ' ld,sx.f.a ksjfia §

idudcslhska 2019 ud¾;= ui /ia jQfha kï" kej;

ld,sx.f.a ksjfia /iajk udih jkafka"

1& 2020 uehs 2& 2020 wfm%a,a 3& 2020 cQ,s

mdg m

dg .

Kx bi

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17' ksu,af.a miqïìfha remsh,a 600l uqo,la fkdaÜgq 5lska we;' tys we;af;a"

1& remsh,a 100 fkdaÜgq folla" remsh,a 50 fkdaÜgq folla iy remsh,a 20

fkdaÜgqjls'

2& remsh,a 500 fkdaÜgqjla" remsh,a 100 fkdaÜgqjla iy remsh,a 50

fkdaÜgqjls'

3& remsh,a 500 fkdaÜgqjla" remsh,a 50 fkdaÜgqjla" remsh,a 20 fkdaÜgq

folla iy remsh,a 10 fkdaÜgqjls'

18' yssia fldgqjg .e<fmk wxlh f;darkak'

1& 7

2& 6

3& 5

6

5

4

7

5

8

7

6

19' ;%sfldaKdldr lvodishla f.k A rEmfha oelafjk mßÈ lv bß Èf.a yß

ueÈka folg kjd B rEmfha oelafjk mßÈ lv bß Èf.a lmd len,s lrk

,È'

A rEmh B rEmh

,efnk len,s ms<snò ksjerÈ m%ldYh

l=ula o@

1& ;%sfldaK len,s y;rls'

2& iup;=ri% len,s folls'

3& ;%sfldaK len,s folla yd p;=ri%hls'

20' my; oelafjkafka lïì len,s y;rls'

tu lïì len,s y;r Ndú; lr ielish yels yevhla

oelafjk rEmh l=ula o@

(1) (2) (3)

mdg m

dg .

Kx bi

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21' fjila iufha Wmq,a iy Tyqf.a ñ;=rka isjq fokd Tjqfkdjqka w;r fjila

m;a yqjudre lr .;af;a kï" Tjqka yqjudre lr.;a uq`M fjila m;a .Kk

lSh o@

1& 25 2& 20 3& 12

22' ksjerÈ j úiòd ms<s;=r ,ndf.k we;s m%ldYh l=ula o@

1& 9 + 5 - 4 = 9 2& 1 x 6 + 4 = 9 3& 3 x 3 x 1 = 9

Wr.hska - mdo iys; i;=ka - mdo rys; i;=ka w;r iïnkaO;d my;

rEmfhka ksrEmKh flf¾' ta weiqfrka 23 iy 24 m%Yakj,g ms<s;=re

imhkak'

B Cmdo rys;i;=ka mdo iys;

i;=ka

Wr.hska

23' B wlaIrfhka oelafjk i;a;ajhd úh yelafla"

1& ;,f.dhd 2& uq.áhd 3& msUqrd

24' C wlaIrfhka oelafjk i;a;ajhd úh yelafla"

1& yQkd 2& l+ve,a,d 3& khd

25' rjqï fïihla jgd lú`ÿ" kú`ÿ" wñ`ÿ iy iú`ÿ hk 4 fokd ms<sfj<g

iudk mr;r we;s j jdä ù isá;s' ta wkqj lú`ÿg tl t,af,a uqyqK,d

isákafka"

1& kú`ÿ 2& wñ`ÿ 3& iú`ÿ

26' n,aí je,l ly" r;=" ks,a hk ms<sfj<ska n,aí t,a,d we;'

tu jef,a n,aí 38la we;' n,aí jef,a we;s ks,a n,aí .Kk

lSh o@

1& 11 2& 12 3& 13

mdg m

dg .

Kx bi

afldaf

,

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27' 1 isg 7 f;la ixLHdj,ska T;af;a ixLHd muKla f.k ,súh yels úYd, u

ixLHdj b,lalfuka ,shkak' ....................................................................

28' § we;s ixLHdj wjfrdayK mámdáhg ,shkak'

4 506, 3 605, 4 650, 3 560 - ..................................................................

29' § we;s ixLHdj rgdj, ysia;ekg iqÿiq ixLHdj ,shkak'

1) 48, 40, ............... , 24, 16 2) 3, 9, .............. , 81, 243

30' fjf<kafola ñ,g .;a fodvï f.ä 550 lska la úl=Kqfõ h' Tyq <`.

b;sß fodvï f.ä .Kk lSh o@ ......................................

35

31' fmÜáhl we;s inka leg 709la tla fmÜáhlg 7 ne.ska jk fia fmÜáj,

weisÍug wjYH fõ'

1& inka leg 7 ne.ska weisÍug wjYH jk fmÜá .Kk lSh o@

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

2& túg inka leg lShla b;=re fõ o@ ......................................

32' m'j' 8'55g fld<ôka msg;a jQ nia r:hla miq Èk fm'j' 3'25g nÿ,a,g

<`.d úh' .ukg .; jQ uq`M ld,h fldmuK o@

meh ....................... ñks;a;= ............................

33' j.=fjys oelafjk f;dr;=re weiqfrka ms<s;=re imhkak'

1& B yd C mdi,a foflys uq`M YsIH ixLHdj lSh o@

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

mdi, A B C D

YsIH ixLHdj 3285 3285 3285 2318

2& D mdi,g jvd A mdif,ys YsIHhka lSfofkla

jeäfhka isá;a o@ ....................................


mdg m

dg .

Kx bi

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,

Ydu

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34' Odß;dj ,Sgr 3 ñ,s,Sgr 250la jk Ndckhla iïmQ¾Kfhka msrùug

Odß;dj ñ,s,Sgr 250la jk Ndckhlska lS jdrhla c,h oeñh hq;= o@

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

3 l 250 ml

250 ml

35' fuu ud¾. ie,eiau wkqj

.d,a, isg fld<U yryd

le,Kshg ÿr fldmuK o@

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

0 km

45 km

135 km

140 km

ud;r

.

d,a,

fld<U

l

e,Ksh

36' fmd,af;,a ñ, § .ekSug lvhg .sh iukag uqo,d,s fmd,af;,a ,nd fok

,oafoa ñ,s,Sgr 50ka folla o" ñ,s,Sgr 100ka ;=kla o" ñ,s,Sgr 200ka

;=kla o" ñ,s,Sgr 500ka folla o f,isks' Tyq ñ,g .;a fmd,af;,a

m%udKh ñ,s,Sgrj,ska ,shkak' .....................................................

37'

øjH 1 kg ñ, m%udKh ñ,

remsh,a i; remsh,a i;

mßmamq

f;a fld<

iSks

140

780

(iii) .......

00

00

00

(i) .......... g

100 g

250 g

70

(ii) ........

32

(iv) ........

00

00

00

00uq`M uqo,

mdg m

dg .

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38' fuu .Kl rduqfõ

1& ksrEmKh lrk ixLHdj b,lalfuka ,shkak'

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

2& oyfha l+frys .Klj,ska oelafjk w.h lSh o@

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

od is o t

39' Trf,daiq uqyqKf;a oelafjkafka miajre fõ,djls' th

äcsg,a l%uhg ,shd olajkak' .........................

mdmeÈ ;r.hl§ ;r.lrejka .uka lrk ud¾.fha k.r w;r ÿr oelafjk

igykla my; oelafõ'

A B77 km 150 m

70 km 140 m

83 km 450 m

6 km 300 m

m<uq wÈhr

fojk wÈhr

40' m<uq wÈhf¾ § ;r.lrejka .uka l< hq;= ÿr fldmuK o@

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

41' ;r.h ksud lsÍu iòyd .uka l< hq;= uq`M ÿr fldmuK o@

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

42' fuys oelafjkafka iumdo ;%sfldaKhls'

1& fuh fujeks ;%sfldaK 4lg fjkalr olajkak'

2& fujeks yev;, 4la fhdodf.k iEÈh yels >k jia;=jg

YS¾I lShla ;sfí o@ ................................

43' ñysß fm'j' 9'40 mqia;ld,hg .shd h' weh mqia;ld,fha isg

ksjig taug msg;a jQfha fm'j' 11'05g h' mqia;ld,fha .; l,

ld,h fldmuK o@ meh .................. ñks;a;= .......................

mdg m

dg .

Kx bi

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09

Tkak mqf;a .Ks;h iy úNdf.a''''

nqoaê mÍlaIKh yd úNjH;dudk

2000 isg 2007 olajd miq.sh YsIH;aj úNd. j, .Ks; m%Yak

2004 - wf.daia;=

071 556 0003

1' <ufhla me< ;jdklska ñ,g .;a me< ms<snòj my; úia;rh bÈßm;a

lf<ah'

fï wkqj Tyq ñ, § .;a uq`M me< .Kk lSh o@

1& 16 2& 22 3& 28

2' my; rEmfhys u.ska fmkajd we;s ldâ m;g wh;a wxlh oelafjk

ms<s;=r f;darkak'

3' ìialÜ lsf,da.a?ï 1l ñ, lSh o@

1& re' 220hs' 2& re' 80hs' 3& re' 45hs'

m,;=re me< 10hs' m,;=re fkdjk me< 12hs'

wU me< 2hs' fmd,a me< 4hs'

4 5 3 2 4 5

32

5 4 8 7

1& 4 2& 7 3& 8

my; iòyka úia;rh lshjd 03 iy 04 m%Yakj,g ms<s;=re imhkak'

iSks lsf,da.a?ï 1la iy f;a fld< .a?ï 500la re' 175'00hs'

iSks lsf,da.a?ï 1la iy lsß msá .a?ï 400la re' 155'00hs'

iSks lsf,da.a?ï 1la re' 35'00hs'

f;a fld< .a?ï 500la yd ìialÜ lsf,da.a?ï 1la re' 220'00hs'

4' lsßmsá .a?ï 800l ñ, lSh o@

1& re' 120hs' 2& re' 155hs' 3& re' 240hs'

mdg m

dg .

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5' my; oelafjk ixLHd iïnkaO;d n,kak' ta wkqj —@˜ ,l=fKka oelafjk

ixLHdj úh hq;af;a l=ula oehs f;darkak'

(1 2)

(2 3)

(3 1)

(4 5)

3

1

2

2

=

=

=

=

9

5

8

?

1& 12 2& 18 3& 40

wxl 06 iy 07 m%Yakj, oelafjk ixLHd rgd wkqj @ ,l=K we;s fldgqjg

.e<fmk ixLHdj f;darkak'

6' 7' 2

5 4

7 1

4 ?6

8

54 4

5 3

6 ?7

2

1& 3 2& 4 3& 5 1& 1 2& 2 3& 3

wxl 08 iy 09 m%Yakj, oelafjk fldgq ;=< tla tla rEmhg mQ¾K

ixLHduh w.hla ne.ska § ;sfí' tu w.hj, tl;=j yryg yd my<g

§ we;'

8' - ? - ,l=fKka oelafjk ia:dkhg ,eìh hq;= ixLHdj l=ula o@

1& 12

2& 15

3& 19

7

-?-

7 2 5 5

mdg m

dg .

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9' rEmhg § we;s w.h lSh o@

1& 1

2& 3

3& 5

11

6

5

7 8 7

10' rEmfha oelafjkafka yß y;/ia ,S l=Üáhls' tys

u;=msg idhï wdf,am lr" bß Èf.a l=vd lene,sj,g

lmd fjka lrkq ,efí' idhï fkd.EjqKq lene,s

lShla fõ o@

1& 1 2& 2 3& 3

11' .fvd,ska n`Èk ,o ;dmamhla my; rEmfha oelafõ' tys w`ÿre lr we;s

fldgiska oelafjk is`ÿr iïmQ¾Kfhka msrùug wjYH .fvd,a .Kk

lSh o@

1& 6hs'

2& 9hs'

3& 12hs'

12' iqks,a iy ksu,a hk fofokd mdi,a l%Svd msáfha tlu ;ekl

isáhy' iqks,a t;ek isg m<uq j W;=re ÈYdjg ógr 50la o"

wk;=rej ;u ol=Kq w; me;a;g yeÍ ógr 100la o" .uka

lf<ah' ksu,a m<uqj niakdysr ÈYdjg ógr 25la o" wk;=re j

;u ol=Kq w; me;a;g yeÍ ógr 50la o .uka lf<ah' oeka

Tjqka fofokd w;r ÿr fldmuK o@

1& ógr 75 2& ógr 125 3& ógr 225

mdg m

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13' tl u fõ,djg uer;ka Odjk ;r.hla wdrïN l< <uhska mia fofkl=

tu Odjk ;r.h ksu l< fõ,djka my; rEmj,ska oelafõ' Tjqka w;=frka

m<uqjk ia:dkh ,nd .;a <uhdf.a ku l=ula o@

iuka ir;a rdcd iqks,a rduka

1& rdcd 2& iqks,a 3& rduka

14' ir;a isá fmda,sfuys Tyqg bÈßfhka ñksiaiq wg fofkla isáhy' fmda,sfï

wka;sug isá wh m<uq jekshd jk fia ish¨ fokd u wfkla me;a;g

yerefKdah' túg ir;ag bÈßfhka isáfha ;sfokl= kï fmda,fï isák

uq`M ñksiqka .Kk lSh o@

1& 10ls' 2& 11ls' 3& 12ls'

15' my; igyfkys we;s rgdj wkqj" ysia fldgqjg .e<fmk ixLHdj § we;s

tajdhska f;darkak'

6666 6669 66999999 6999

1) 6699 2) 9966 3) 6969

16' my; igyfkys we;s rgdj wkqj ysia fldgqjg .e<fmk ixLHdj § we;s

tajdhska f;darkak'

069 609 690690 609

1) 690 2) 096 3) 069

17' <uhl=g ish ksjfia isg fj,òfmd<g hdfï§ frday,;a

mdi,;a miq lr hdug isÿ úh' ksjfia isg mdi,g we;s ÿr

ksjfia isg frday,g we;s ÿr fuka fo.=Khls' frdayf,a isg

fjf<òfmd<g we;s ÿr o" frdayf,a isg mdi,g we;s ÿr fuka

fo.=Khls' fï wkqj my; tajdhska wi;H m%ldYh

f;darkak'

mdg m

dg .

Kx bi

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mdi, hk jpkhg .e<fmk rEmh l=ula o@

1& 2& 3&

19' rEmfha oelafjk >k jia;=fõ"

1& odr .Kk lSh o@ .................................

2& YS¾I .Kk lSh o@ .................................

20' rEm igyfka oelafjk mekaif,ys È. lSh o@ .................................

21' fudag¾ nhsisl,hla .uka l< ÿr ógrhl igyka ù ;snqfKa fufiah'

;j 1 kmla .uka l< miq ógrfha olakg ,efnk b,lalï my; ysia fldgqj ;=< ,shkak'

1& ksjfia isg frday,g we;s ÿr uq`M .ufka ÿfrka ls'

2& frdayf,a isg mdi,g we;s ÿr uq`M .uka ÿfrka ls'

3& mdi, ;sfnkafka frday,g yd fjf<òfmd<g yß ueoh'

12

13

18' my; fldgq ;=< we;s jdlHj, tla tla jpkh iòyd rEmhla ne.ska fhdod

;sfí' jpkj, .e<fmk rEm y`ÿkd.kak'

uf.a .=re;=ñh olaIhs'

.=re;=ñh mdi, fj; ths'

uf.a mdi, ,iaikhs'

uu mdi, fj; hñ'

0 5 2 9 9

km

cm

mdg m

dg .

Kx bi

afldaf

,

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22' YsIHhl= l=vd meKsîu fnda;,hla iïmQ¾Kfhka c,fhka mqrjd" tu c,h

úYd, ysia meKsîu fnda;,hlg j;a lf<Ah' fuf,i 6 jdrhla l< úg

úYd, fnda;,h iïmQ¾Kfhkau c,fhka msreKs' úYd, fnda;,fha w,jd

;snQ f,an,hl 1.5 l hehs iòyka ù ;snqKs' fuu f;dr;=rej,g wkqj l=vd

fnda;,fha Odß;dj lSh o@ ..............................................

1& 2000 j¾Ihg jvd 2003 § isiqka lS fokl= 100 g jvd ,l=Kq ,nd

we;a o@ ...........................

23' my; ysia fldgq folg .e<fmk b,lalï folla tu fldgq ;=< ,shkak'

5

7

2

3

4

76

+

24' j¾I y;rl § tla;rd mdi,lska YsIH;aj mÍlaIKh iòyd ,l=Kq 100g

jvd ,nd .;a YsIH ixLHd m%ia;drfhka oelafõ'

40

30

20

10

0

,l

=Kq 100

g j

vd ,nd .;a

YsIH

ixL

Hdj

2000 2001 2002 2003 j¾Ih

2& fuu j¾I y;f¾§ u 100g jvd ,l=Kq ,nd .;a uq`M YsIH

ixLHdj lSh o@ ...........................

3& fuu f;dr;=rej,g wkqj mdif,a YsIH;aj mÍlaIK

m%;sM, .ek Tng l=ula lsj yels o@ ...........................

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25' YS% ,xldfõ k.r lsysmhla w;r ÿr my; igyfka oelafõ'

yïnkaf;dg isg ud;r yd .d,a, yryd fld<Ug ÿr fidhkak'

.................................... km

26' ;%sl=Kdu,fha isg fmdf<dkakrej f;la Odjkh jQ YS>%.dó niar:hl .uka

úia;rh my; oelafõ'

227' fldgq cd,fha fldgqjl È. iy m<, 1 cm ne.ska fõ' cd,h ;=< 9 cm

j¾.M,fhka hq;a yevhla weò tys we;=<; w`ÿre lrkak'

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meh 2 ñks;a;= 30

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

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28' rEmfha w`ÿre lr we;s fldgi" uq`M rEmfhka Nd.hla f,i ,shkak'

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

29' f;a l=vq lsf,da.a?uhl ñ, remsh,a 200la o" iSks lsf,da.a?uhl ñ,

remsh,a 40la o fõ' f;a l=vq .a?ï 250la iy iSks .a?ï 500la ñ,g .;a

úg" f.úh hq;= uq`M uqo, lSh o@ ..............................................

30' fodvï f.ä 416la iudkj fmÜá y;rl wiqrk ,§' tla fmÜáhl we;s

fodvï f.ä .Kk lSh o@ ..............................................

31' flfi,a wejßhl f.ä 14la we;' tl f.ähl ñ, remsh,a 7hs iy 50la

kï flfi,a wejßfha jákdlu lSh o@ ..............................................

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