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BapJw
11111 \me-°-kw-Jy-Iƒs°m∏w
kwJym-]-T-\-Øns‚ ASn-ÿm\ Bi-b-߃ ssIh-cn-°p-∂-
Xn\v klm-b-I-c-amb coXn-bn¬ \me° kwJy-Isf, aq∂-°-
kw-Jy-I-fpsS XpS¿®-bmbn Ah-X-cn-∏n-°p-I-bmWv Cu ]mT- m-K-
Øn-eqsS sNøp-∂-Xv.
kwJy-I-fp-ambn _‘-s∏ v CXp--hsc t\Snb tijn-Ifpw [mc-
W-Ifpw \me-°-kw-Jy-I-fp-ambn _‘-s∏-Sp-Øn-bmWv ChnsS
Ah-X-cn-∏n-°p-∂-Xv. Bbncw hscbp≈ kwJym-t_m[w Ip´n-I-
fn-ep-≠v.
\me-°-kw-Jy-Isf hmbn-°m\pw A°-Ønepw A£-c-Ønepw
Fgp-Xm\pw Ah kμ¿`m-\p-k-cWw hymJym-\n-°m\pw ÿm\-
hn-e-bv°-\p-k-cn®v Iq´ßfm-°m\pw ]ncn-s®-gp-Xm\pw kwJy-I-
fpsS ]c-kv]-c-_‘w Is≠-Øm\pw Btcm-l-W- -A-h-tcm-lW
{Ia-Øn-se-gp-Xm\pw D≈ kμ¿ -߃ Cu ]mT- m-K-Øn¬ Hcp-
°n-bn- p-≠v. \me-°-kw-Jy-I-fp-ambn _‘-s∏´ {]mtbm-KnI {]iv\-
߃, ]kn-ep-Iƒ, ]mt‰-Wp-Iƒ F∂n-hbpw CtXm-sSm-∏-ap-≠v.
tdma≥ kwJym-k-{º-Zmbw, ae-bmf A°-߃ F∂nh ]cn-N-b-
s∏-Sp-Øp-∂p-ap-≠v. hnhn[ kμ¿`-ß-fn¬ A]-{K-Y-\w, Xmc-X-
ayw, {Iao-I-c-°¬, kwJym-_‘w Is≠-ج XpSßn \nc-
h[n tijn-Iƒ hne-bn-cp-Øp-∂p.
kwJym-_‘߃ Is≠Øn \nK-a-\-߃ cq]o-I-cn-°m\pw kmam-
\y-h-ev°-cn-°m\pw FƬ hnZy-Iƒ kzmb-Ø-am-°m\pw Ah-
kcw \evIn-bn-´p-≠v. kwJym-ku-μcyw Bkz-Zn-°p-∂-Xn-\p≈
{]h¿Ø-\-ßfpw \evIn-bn- p-≠v.
So®¿ sSIvÃv
2
$\
me-°
-kw-J
y-Iƒ
FÆ
p-∂-X
n\pw F
gp-
Xp-∂
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pw h
mbn-°
p-∂-X
n\pw {]
mtb
m-
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iv\
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e k
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p.
${]
iv\
]cn-l
-c-W
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‚
mK-amb
n 1000
s\
100
‚b
pw 1
0‚b
pw I
q´-ß
-fm-°
m-\p-
≈ -{]
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-\-ß
ƒ.
$k
wJy-I
ƒX
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p≈ ]
c-k
v]c _
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-Øn 1000
s\
c≠
v /aq∂
v kwJ
y-
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S X
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$tdma
≥ /
ae
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ncn-®
-
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v Fgp-X
p∂p.
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ybn¬
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n F
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w h
sc
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me
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w-J
y-I
ƒ F
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p-
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pw h
mbn-°
p-Ib
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$\
me°
k
wJy-I
ƒ ÿ
m\-h
n-
e-°
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v ]
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v 100
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Ipw
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enb
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Wv.
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v \
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v hyX
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y-I-fps
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n F
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wJys
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v.
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° k
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cq]
o-I-cn-°
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pw.
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≥ A
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- A
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D≠
v.
\me-°-kw-Jy-Iƒs°m∏w
3
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m¿U
v I
-fn-b
n-eqs
S \
me°
k
wJy-I
ƒcq]
o-I-cn-°
p-∂ {]
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ƒ.
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p-I-fps
S ÿ
m\
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p-k-cn®
vk
wJy-I
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p, ]
ncn-s
®-gp-X
p-∂p.
$t\
m´p-I
fpw
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m-W
-b-ß
fpw
ssI
Imcyw
sN
tø
≠ \
nXy P
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k
μ¿`-ß
sf
hym
Jym
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yXyk
vX k
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y-Isf X
mc-
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sN
bvX
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pXv s
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v Is≠
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p,{I
ao-I
-cn-°
p-∂p.
$A
°-ß
ƒ ÿ
m\ h
ne-b
v°-\
p-k-cn®
v {I
ao-
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v \me
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w-Jy-I
ƒ c
q]o-I
-cn-°
m-\p≈
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m≥ I
gn-b
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s≠
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p.
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nse
k
wJ
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p≈_
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a¿∞
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pw ]
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h c
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p-Ib
pw s
Nø
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p.
${]
mtb
m-K
nI k
μ¿`-ß
ƒ h
ni-I
-e\
wsN
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p,h
n-h-c
-߃
ti
J-c
n-°p-∂
p,{]
iv\
]cn-l
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w \
S-Ø
p-∂p.
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me-°
-kw-J
y-Iƒ
kμ
¿-
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-\p-k
-cn®
v hyX
ykvX
coX
n-bn¬
h
yJym
-\n-°
p-
∂p.
$k
wJ
ym-t
{i-W
n-b
psS
bp‡
n-I-s≠
Øn h
n-i-Zo-I
-
cn-°
p-∂p.
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y-Iƒ
Dƒ
s∏
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{]
mtb
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]
cn-l
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p-∂p.
Bi
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ƒ]
T-\
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-t\
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bqW
n‰v s
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nw
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kwJ
y-Isf ÿ
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vF
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me°
kwJ
y-Isf k
-μ¿`-Ø
n\-\
p-k-cn®
vh
yXy-k
vX-co-X
n-bn¬
h
yJym
-\n-°
m-≥
Ignb
pw.
$H-cp-I
q´w \
me-°
-kw-J
y-Ifns
e H
mtcm-ÿ
m-\
-sØ
bpw A
°-ß
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Sb
pw h
ep∏
w {I
a-
amb
n X
mc-X
ayw
sN
bvX
v k
wJy-I
fn¬
he
pXv s
NdpX
v Is≠
-Øm≥
Ignb
pw.
$A
°-ß
ƒ B
h¿Ø
n®pw
A
√m-sX
bpw
\me
°-k
w-Jy-I
ƒ cq]
o-I-cn-°
mw.
$]
m-t‰-W
nse
A
Sp-Ø
-SpØ
k
wJ
y-I
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Ωn¬
\n›
n-X-amb
Hcp _
‘-ap-≠
v.
${]
mtb
m-Kn-I
- {]
-iv\
-߃
]
cn-l
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p-∂-
Xn\
v \me
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w-Jy-I
fpw A
h D
ƒs∏
--{I
n-
b-I
fpw {]
tb
m-P-\
-s∏
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p-∂p.
So®¿ sSIvÃv
4
bqWn‰v hni-I-e\w
hnZym-e-b-Øn-te°v
1234123412341234 G‰hpw sNdnb \me° kwJy-bmb 1000 ]cn-N-b-s∏-Sp-Øp∂ {]h¿Ø-\w.
Ip´n-I-tfmSv Ah-[n-°me hnti-j-߃ tNmZn-®p-sIm≠v ¢m v Bcw-`n-°mw.
hnti-j߃s°m-Sp-hn¬ kvIqƒ _km-dn¬ t]mbXv tNmZn-°m≥ ad-°-cp-Xv.
$ do\bpw A—\pw kvIqƒ _km-dn¬ t]mbXpambn _‘-s∏´ Sn._n-bnse "hnZym-
e-b-Øn-te°v' F∂ {]h¿Ø\w hy‡n-K-X-ambn hmbn-°-s´.
do\ hmßnb km[-\-ßfpw hnebpw F≥._n bn¬ Ipdn-®-p sh-°-s´.
IpS ˛ 250 cq]
t\m´v]p-kvXIw ˛ 10 cq] (5 FÆw)
DSp∏v ˛ 750 cq]
? t\m´v ]pkvX-I-Øns‚ BsI hne-sb-{X-sb∂v Fßs\ Is≠-Øpw?
"t\m´v]pkvX-I-Øns‚ hnesb FÆw sIm≠v KpWn-®m¬ aXn'
? F¶n¬ BsI hne Fßs\ Is≠Øpw?
...............................................................................................................................................................
...............................................................................................................................................................
$ CØcØn-ep≈ tNmZy-߃ So®¿ tNmZn-°p-Ibpw Ip´n-I-fpsS adp-]-Snsb Bh-
iy-amb Xncp-Ø-ep-I-tfmsS ¢m n¬ Ah-X-cn-∏n-°p-Ibpw thWw. (Ip´n-bpsS
Nn¥m-tijnsb XS- -s∏-Sp-ØmsX \n›nX ka-b-Øn-\p-ti-j-am-bn-cn-°Ww So®-
dpsS CØcw CS-s]-S-ep-Iƒ.)
$ 1000 cq]sb hnhn[ cq] t\m´pI-fp-ambn _‘n-∏n®v Sn._n bn¬ \¬Inb
tNmZy-߃°v DØcw Is≠-Øp-∂p.
$ 500 cq]-bpsS _mKp IqSn hmßn-bm¬ GsXms° coXn-bn¬ cq] t\m´p-Iƒ
\¬Im≥ Ignbpw? ]mT-]p-kvX-I-Ønse tNmZy-߃°v Ip´n-Iƒ kzbw DØcw
Is≠Øn t\m´p_p-°n¬ Ipdn-°p-∂p. 5 km[y-X-Iƒ Ip´n-Iƒ kz¥w ]´n-I-
bn¬ Fgp-X-s´.
? 50, 100, 500, 1000 cq] t\m´p-Iƒ F{X-sbÆw hoXw FSp-Øm¬ 1500 cq]
BIpw? F∂ {]h¿Ø\w Ip´n-Iƒ kzbw t\m´p_p-°n¬ ]´nI-s∏-SpØn
t\m°-s´.
? Cu 4 t\m´p-Ifpw Htc kabw hcp∂ coXn-bn¬ 1500 cq] cq]o-I-cn-°m≥
Ign-bptam? F∂v ]cn-tim-[n-°p-∂p. Cs√-¶n¬ F¥p-sIm≠v?
$ ]´n-Isb ASn-ÿm-\-am°n Iq´p-Im-c-t\mSv tNmZn-°m≥ Ip´n-Iƒ tNmZy-߃
Xbm-dm-°-s´.
kabw: 27 ]ocn-bUv
kma-{Kn-Iƒ: Ifn-t\m- p-Iƒ,
Nm¿ v
\me-°-kw-Jy-Iƒs°m∏w
5
? F√mw 500 cq]t\m´pIfmsW-
¶n¬ F{XsbÆw D≠m-bn-
cn°pw?
? 50 cq]-bpsS ]Øpt\m´p-I-
fps≠¶n¬ 500, 1000 F∂o
t\m´p-Iƒ F{X-sbÆw hoXw
D≠m-bn-cn°pw?
? 1000 Øns‚Xv Hcp t\m´m-sW-
¶n¬ Np‰p-ap≈ t\m´p-Iƒ
F{X-sbÆw hoX-am-bn-cn-°pw.
?
?
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ca So®-dpsS Sn.Fw. {]{In-bm-t]Pv
t\m°q.
¢mkn¬ 50, 100, 500, 1000 cq]bpsS
Ifn-t\m- p-Iƒ.
hy‡n-K -X -ambn 1500 cq]
CXn¬\n∂v D≠m-°p-∂p.
{Kq∏n¬ ]¶p-h-bv°¬ ˛ t\m´v_p-
°n¬ Ipdn-°p-∂p.
hne-bn-cp-ج t]Pn¬ So®¿ Fgp-Xn-
bXv:
¢mkn¬ ]T\]n∂m°w \¬°p∂ 5
t]sc sIm≠v 1500 cq] D≠m-°n. cmlp-
en-s\-am{Xw Ipd®v klm-bn-®p. XpS¿∂v
¢mknse F√m-hcpw CXv ]q¿Øn-
bm°n.
hni-I-e-\w, ]´n-I-s∏-Sp-ج, tNmZy-cp-]o-I-cWw F∂o -ti-jn-Iƒ So®¿ hne-bn-cp-Øp-∂p.
Nn√-d-bm-°n-b-t∏mƒ, F{X hoXw
1234123412341234 4 t]¿ 1000 cq] t\m´v Nn√-dmbm-°nb kμ¿`w Ah-X-cn-∏n-°p-∂p. Ip´n-Iƒ Cu
kμ¿`w Ah-X-cn-∏n-°s´.
$ Hmtcm-cp-Ø¿°pw GXv t\m´v/\mWbw In´n F∂v Is≠Øn ]d-bp-∂p. So®¿
Nm¿´n¬ t{ImUo-I-cn-°p-∂p, t\m´p_p-°n¬ tcJ-s∏-Sp-Øp-∂p.
$ XpS¿∂v "F{X hoXw' F∂ {]h¿Ø\w Ip´n-Iƒ hy‡n-K-X-ambn ]q¿Øo-I-
cn°p∂p. Ip´n-Iƒ {Kq∏n¬ Ah-X-cn-∏n®v sa®-s∏-Sp-Øp-∂p. t\m´p_p-°n¬ Ipdn®p
hbv°p-∂p.
hnØp-I-sf{X?1234123412341234 ]cn-ÿnXn Zn\-sØ-°p-dn®v eLpN¿®
]me-°p∂v bp.]n. kvIqƒ ]cn-ÿnXn Zn\-Øn¬ GXp {]h¿Ø-\-amWv \S-Øn-
bXv?
$ Ip´n-Iƒ Sn._n bnse t\m´okv hmbn-°p-∂p.
? F{X hnØp-I-fmWv hnX-c-W-Øn\v sIm≠ph-∂Xv?
Sn._n bnse tNmZy-߃ hmbn-°p-∂p.
$ Ip´n-Iƒ hy‡n-K-X-ambn Is≠-Øp∂p.
So®¿ sSIvÃv
6
$ Is≠-Ønb coXn {Kq∏n¬ Ah-X-cn-∏n-°p-∂p.
$ ]c-kv]cw hne-bn-cp-Øp-∂p.
"Rm≥ Is≠-Ønb hgn', "Iq´p-Im¿ Is≠-Ønb hgn' ]q¿Øn-bm-°p-
∂p. Ip´n-Iƒ F≥._n bn¬ Xs‚ coXn- tc-J-s∏-Sp-Øp-∂p. XpS¿∂v {Kq∏n¬
]¶p-sh-°p-∂p. Iq´p-Im¿ Is≠-Ønb hyXykvX hgn-Iƒ F≥._n bn¬
tcJ-s∏-Sp-Øp∂p XpS¿∂v Hmtcm {Kq∏pw ¢mkn¬ Ah-X-cn-∏n-°p∂p.
N¿® sNø-s∏´ apgp-h≥ coXn-Ifpw A√m-Øh So®¿ th¿j≥ Bbpw
So®¿ ¢mkn¬ t{ImUo-I-cn°p-∂p. So®¿ th¿j≥ ¢mkn¬ N¿® sNøp-
a-t√m.
1000 s\ 100 s‚bpw 10 t‚bpw Iq´-
ß-fm°n am‰m-\p≈ Ignhv So®¿ hne-
bn-cp-Øp∂p.
Iq´p-Im-cnsb klm-bn°mw
? hy‡nKX hmb\, ]´nI ]cn-tim-[n-°p∂p
? ]´nI ]q¿Øn-bm-°m≥ F¥mWv Is≠-tØ-≠Xv?
? IVA ¢mkv aq∂v Znhkw sIm≠v BsI F{X tiJ-cn®p?
? 1000 XnI-bm≥ C\n F{X IqSn-thWw?
900 F∂m¬ 9 \qdv 1000 F∂m¬ 10 \qdv
Bbn-c-am-Im≥ 900 Øns‚ IqsS Hcp \qdv tNcWw
? IV B ¢mkv aq∂v Znhkw sIm≠v BsI F{X cq] tiJ-cn®p?
? 1000 XnI-bm≥ C\n F{X IqSn thWw
990 = 9 \qdv + 90
BIm≥ Hcp ]Øv IqSn tN¿∂m¬ 100 IfpsS FÆw 10
a‰p-≈-hbpw kwJysb hymJym-\n®v Is≠-Ø-Ww.
$ 1000 Øn¬ \n∂v Ipd®v Is≠-Øm-\√ ChnsS Dt±-in-°p-∂-Xv. 1000 hoXw Iq´n
2000, 3000 apX¬ 10000 hsc Fgp-Xm\pw hmbn-°m\pw D≈ {]h¿Ø-\-am-Wn-Xv.
$ Hmtcm tNmZyhpw hmbn®v Is≠Øn Ip´n-Iƒ Hmtcm-∂mbn Ah-X-cn-∏n-°p-∂p.
So®¿ _n._n bn¬ tcJ-s∏-Sp-Øp-∂p.
\me-°-kw-Jy-Iƒs°m∏w
7
]q¿Øn-bm-°mtam?1234123412341234 Bbn-c-߃ Iq´p-Ibpw Ipd-bv°p-Ibpw sNøp∂ {]h¿Ø-\w.
$ ]mt‰¨ hy‡n-K-X-ambn ]q¿Øn-bm-°p-∂p. GXm\pw t]¿ Ah-X-cn-∏n-°p-∂p.
_n._n bn¬ Fgp-Xp-∂p. Ip´n-Iƒ IrXy-X-s∏-Sp-Øp-∂p.
$ 1000, 2000, 3000, ..., 10000 Ch-bn¬ CjvS-ap≈ Hcp kwJy Ip´n-Iƒ F≥._n
Fgp-Xp-∂p. 1000 hoXw IqSp∂ Xc-Øntem Ipd-bp-∂-X-c-Øntem Hcp ]mt‰¨
D≠m-°-s´.
$ 2000 Fgp-Xn-bm¬ 1000 IqSp∂ ]mt‰¨
$ 2000, 3000, 4000, 5000, 6000$ 8000 Fgp-Xn-bm¬ 1000 Ipd-bp-∂- ]m-t‰¨
8000, 7000, 6000, 5000, 4000
Bbn-c-ß-fn¬ \n∂v 1000 hoXw Iq´m\pw Ipd-bv°m-\p-
ap≈ Ignhv So®¿ hne-bn-cp-Øp-∂p.
Bbncw In´m≥1234123412341234 1000 Øns\ 2 kwJy-fpsSbpw 3 kwJy-I-fpsSbpw XpI-bmbn hyXykvX coXn-
bn¬ Fgp-Xm-\p≈ {]h¿Ø-\-am-WnXv. Iq´p-Im-cnsb klm-bn°mw F∂ {]h¿Ø-
\-Øn-te-Xp-t]mse kwJysb hymJym-\n®v DØ-c-Øn-se-Øp-I-bmWv th≠-Xv.
Hcp aq∂-°-kw-Jy-tbm-sSm∏w as‰mcp aq∂° kwJytbm c≠-°-kw-Jytbm
As√-¶n¬ Hc° kwJytbm Iq´n Bbncw cp]o-I-cn-°p-I-bmWv ChnsS
sNøp-∂-Xv.
hy‡n-K-X-ambn Is≠Øn AhXcn-∏n-°p-∂p. So®¿ t{ImUo-I-cn®v _n._n.bn¬ Fgp-
Xp-∂p.
GsX-¶nepw If-Øn¬ hyXy-kvX-amb DØ-c-߃ In´n-bn-´pt≠m? F¶n¬
F¥p-sIm≠v?
XpS¿∂v 1000 sØ 3 kwJy-I-fpsS XpI-bmbn hy‡n-K-X-ambn Fgp-Xp-∂p. {Kq∏n¬
t{ImUo-I-cn®v Nm¿´n¬ tcJ-s∏-Sp-Øn Ah-X-cn-∏n-°p-∂p. ¢mkn¬ {]Z¿in-∏n-°p-
∂p. {]{Inb So®¿ hne-bn-cp-Øp-∂p.
Ifn°mw tPmSn-bmImw
1000 sØ 2 kwJy-I-fpsS XpI-bmbn Fgp-Xp∂ Hcp A[nI {]h¿Ø-\-
amWv Cu Ifn.
1000 XpI-bm-bn-h-cp∂ Ipsd tPmSn kwJym-Im¿Up-Iƒ Xøm-dm-°p-I.
(999, 1) (850, 150)...Hcp s]´n-bn¬ Cu Im¿Up-Iƒ CSp-I. Hmtcm Ip´nbpw Hmtcm Im¿Uv FSp-
°p-∂p. BZyw Hcp IpSn Im¿Uv Db¿Øn-Im-Wn-°p-∂p. XpI 1000 hcp∂
kwJyIn´nb Ip´n tPmSn-bm-°p-∂p. Cßs\ F√m-hcpw tPmSn Bhp-∂p.
Hmtcm tPmSnbpw Ah¿°v In´nb kwJy-Iƒ t_m¿Un¬ Fgp-Xp-∂p.
So®¿ sSIvÃv
8
Ip´n-I-fpsS kºmZyw
123412341234 kwJy-Isf A£-c-Øn-se-gp-Xm-\p≈ {]h¿Ø-\-am-Wn-Xv. \n߃°v kºm-Zy-
io-e-apt≠m? eLp-N¿®.
\n߃ kºm-Zn® XpI Fß-s\-bmWv kq£n-°m-dp-≈Xv?
$ do\bpw Iq´p-Imcpw Fß-s\-bmWv kºmZyw kq£n-°p-∂Xv?
{]h¿Ø\w hy‡n-K-X-ambn hmbn-°p-∂p.
]´n-I-bn¬ \nt£-]w, BsI Ch Iq´n tcJ-s∏-Sp-Ønb coXn Ip´n-Iƒ°v ]cn-N-b-
s∏-Sp-tØ-≠-Xm-Wv.
Ip´n-Iƒ hy‡n-K-X-ambn ]´nI ]q¿Øn-bm-°p-∂p.
So®¿ hne-bn-cp-Øp-∂p.
kwJy A°-Ønepw A£-c-Ønepw Fgp-Xp-∂p.
Pq¨ amksØ \nt£]w IqSn tN¿Øv A°-Ønepw A£-c-Ønepw Fgp-Xp-∂p.
\qdp-Iƒ tN¿∂m¬
1234123412341234 \¬Inb \me-°-kw-Jybvs°m∏w 100 hoXw Iq´n, tNmZy-߃°v A°-Ønepw
A£-c-Ønepw DØcw Fgp-Xp-∂p.
$ So®¿ Nm¿´n¬ \nt£-]-]- nI Xøm-dm°n sIm≠p-h-cp-∂p. ]´n-I-bn¬ ap≥_m°n
-am{Xw FgpXpIbpw _m°n ¢mkv {]h¿Ø-\-Øn-eqsS Is≠Øn ]q¿Øn-bm-
°pbpw thWw.
]´nI {]Z¿in-∏n-°p-∂p.
$ at\mPv ]Ww \nt£-]n-®-Xns‚ ]´n-I-bm-Wn-Xv. Hmtcm amkhpw 100 cq] hoX-
amWv \nt£-]n-°p-∂-Xv.
P\p-h-cn-am-ksØ If-߃ ¢mkv N¿®-bn-eqsS ]q¿Øn-bm-°p-∂p.
1099 t\mSv 100 tN¿∂m¬ F{X?
$ Ip´n-Iƒ {]Xn-I-cn-°p∂p. So®¿ ]d-™p-sIm≠v ]´n-I-bn¬ Fgp-Xp-∂p. CtX-
t]mse a‰p -am-k-ß-fp-tSXpw ]´n-I-bn¬ Fgp-Xp-∂p. N¿®bvs°m∏w Ip´n-Ifpw
Sn._n bn¬ ]´nI ]q¿Øn-bm-Ip-∂p.
BsI F∂ tImf-Øn¬ F¥p am‰-am-Wp-≠mbXv? N¿®.
Unkw-_¿ hsc 100 cq] hoXw \nt£-]n-®m¬ F{X cq] BIpw? {]iv\w
Ah-X-cn-∏n-°p∂p.
\me-°-kw-Jy-Iƒs°m∏w
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ca So®¿ Xs‚ Sn.Fw.se {]Inbt]Pn¬ Cßs\ Ipdn-®n-´p.
em_n¬ \n∂v 1000, 100, 10, 1 F∂n-h-bpsS Ipd®p Ifn-t\m- p-Iƒ tiJ-
cn-°p∂p.
1099 cq]-bm-h-W-sa-¶n¬ GsXms° t\m´p-Iƒ thWw? F{X-sbÆw
thWw?
t\m´v_p-°n¬ hy‡n-K-X-ambn Ipdn-®p-sh-°p-∂p. Ipd®v t]¿°v Ah-X-
cn-∏n-°m≥ Ah-k-cw.
-t_m¿Un¬ Fgp-Xn-°p-∂p.
CXn-t\mSv 100 cq] tN¿∂m¬ F{X? ]d-bp∂p t_m¿Un¬ Fgp-Xn-
°p∂p. CXv XpS-cp-∂p.
t\m´p-I-fpsS klm-b-tØmsS ImWn®p sImSp-°p-∂p.
? 100 ¬ \n∂v 1 cq]-sb-SpØv 1099 t\mSv tN¿Øm-se{X?
? CXv Fßs\ FgpXpw?
? Ct∏mƒ 100 ¬ F{X _m°n-bp≠v?
? AXns\ 1100 t\mSv Iq´n-bmtem?
? C\n 1099 t\mSv 100 Iq´n-bmtem?
$ hni-I-e-\-tNm-Zy-߃ So®¿ tNmZn-°p-∂p.
DØ-c-߃ t_m¿Un¬ FgXp∂p. XpS¿∂v a‰v kwJy-Iƒ Fgp-Xm≥ Ip´n-ItfmSv
Bh-iy-s∏-Sp-∂p.
Hm´-a-’cw1234123412341234 1000 Ønt\mSv Hc-°-kw-Jy-Iƒ Fß-s\-bmWv tN¿Øv Fgp-Xp-I. CXmWv
{]h¿Ø-\-Øns‚ e£yw.
? 100 t\mSv 1 tN¿∂m¬ F{X? Fß-s\-sb-gpXpw?
? 100 t\mSv 9 tN¿∂mtem? Fß-s\-sb-gpXpw?
? F¶n¬ 10 tN¿∂mtem? Fß-s\-sb-gpXpw?
? 1000 Ønt\mSv 1 tN¿∂m¬?
1000 Ønt\mSv 2, 3, ... F∂nh tN¿∂m¬ Fß-s\-bmWv Fgp-Xp-I? Sn._n bnse
{]h¿Ø\w Cu e£yw sh®p sIm≠p-≈-Xm-Wv.
$ {]h¿Ø\w Ip´n-Iƒ hy‡n-K-X-ambn sNøp-∂p.
2000, 3000, ... F∂n-h-tbmSv 1 apX¬ 9 hsc-bp≈ A°-߃ tN¿Øm-ep-
≠m-hp∂ kwJy-Iƒ F≥._n bn¬ A[nI {]h¿Ø-\-ambn \¬Im-hp-∂-
Xm-Wv.
So®¿ sSIvÃv
10
]nd-∂m-fn\v ]pkvXIw
123412341234 XpS¿®-bmb \me°-kw-Jy-Iƒ Fgp-Xp-∂-Xn-\p≈ {]h¿Ø-\w.
$ {]iv\w Ip´n-Iƒhm-bn-°p-∂p.
hy‡n-K-X-ambn ]cn-l-cn-°p-∂p, t\m´p_p-°n¬ tcJ-s∏-Sp-Øp-∂p.
Ah-X-cn-∏n-°p∂p
So®¿ hne-bn-cpØp-∂p.
sX‰v I≠p-]n-Sn-°q, Hc-°-kw-Jy-Iq´mw
1234123412341234 1000 Øns‚ Iq´-ß-tfmSv H∂ns‚ Iq´-߃/]Øns‚ Iq´-߃/\qdns‚ Iq´-
߃ Ch tN¿Øv \me-°-kwJy cq]o-I-cn-°m\pw ]d-bm\pw Fgp-Xm-\p-ap≈
{]h¿Ø-\-am-Wn-Xv. ÿm\-hn-e-bn-te-°p≈ XpS-°-{]-h¿Ø\w IqSn-bm-Wn-Xv.
k¶e-\-{InbmcoXn-bn-eqsS hni-Zo-I-cn-t°-≠-Xn-√.
$ Bbn-c-tØmSv 2 Iq´nb kwJy Fgp-Xm≥ ]d-™--t∏mƒ A\p Fgp-Xn-bXv I≠nt√?
icn-bmtWm?
Ip´n-Iƒ {]Xn-I-cn-°p-∂p.
icn-bmb DØ-c-sa{X?
$ A\p-hn\v sX‰m≥ Imc-W-sa¥v?
N¿®
t{ImUo-I-cWw (kwJy-bpsS XpS¿®-sb-°p-dn®v [mc-W-bn-√, ÿm\-hn-e-sb-°p-dn®v
[mc-W-bn-√......)
Hc-°-kw-Jy-Iq´mw
CsXmcp Xp¿{]-h¿Ø-\-am-Wv. Hm´-a-’cw F∂ {]h¿Ø-\-Øns‚ XpS¿®-bm-Wn-Xv.
? 2000 Ønt\mSv 5 Iq´n-bm¬ F{X-bmWv?
2000 + 5 = 2005 F∂-Xns\ 2000 tØmSv 5 tN¿∂m¬ 2005 F∂ coXn-bn¬ Ah-X-cn-
∏n-®m¬ aXn. AXns‚ {Inbm-cq-]-Øn\v {]m[m\yw \¬I-W-sa-∂n-√.
2000 Ønt\mSv 1 apX¬ 9 hsc-bp≈ Hc-°-kwJy tN¿Ømtem? (Iq´n-bmtem?)
Ip´n-Iƒ kwJy-Iƒ Fgp-X-s´.
$ F¥v {]tXy-I-X-bmWv Hc-°-kw-Jy-Iƒ tN¿Ø-t∏mƒ D≠m-bXv? Ip´n-Iƒ ]d-
bp-Ibpw So®¿ Bh-iy-amb Xncp-Ø-ep-Iƒ, Iq´n-t®¿°-ep-Iƒ \S-Øp-∂p.
tN¿°m≥ (Iq´m≥) \¬Inb Hc-°-kwJy GXm-tWm, B A°w \me-
°-k-wJy-bpsS H∂m-asØ A°-ambn amdn. (H∂ns‚ ÿm\-sØ)
\me-°-kw-Jy-Iƒs°m∏w
11
$ C\n 2000 tØmSv Hcp c≠-°-kw-Jy-bmWv tN¿Øn-cp-∂-sX-¶ntem? F¥v
{]tXy-I-X-bmWv D≠m-hpI?
Ip´n-Iƒ Hmtcm-cp-Øcpw 5 FÆ-sa-¶nepw sNø-s´. {]tXy-IX Ah¿ ]d-
bp∂p, So®¿ sa®-s∏-Sp-Øp-∂p.
tN¿°m≥ \¬Inb c≠-°-kwJy GXmtWm B kwJy ÿm\-hne
amdmsX \me-°-kw-Jy-bpsS BZy c≠v ÿm\-ß-fn¬ (H∂v, ]Øv)
CSw ]nSn-°p∂p.
$ C\n CXn-t\mSv aq∂-°-kw-Jy-bmWv tN¿°p-∂-sX-¶ntem? F¥m-bn-cn°pw
{]tXy-IX?
Hmtcm Ip´nbpw 5 FÆ-sa-¶nepw sNbvXp t\m°-s´. ªm°vt_m¿Un¬ Fgp-Xn-°p-
at√m?
aq∂-°-kw-Jy-bpsS ÿm\-hne amdmsX Xs∂ Ah \me-°-kw-Jy-tbmSv tNcp-∂p.
]mT-]p-kvX-I-Øn¬ \¬Inb {]h¿Ø-\-ßfpw CXn-t\m-sSm∏w \¬tI-≠-Xm-Wv.
A[n-I-{]-h¿Ø-\-am-bn, 1000, 2000, 3000, ..., 9000 hscbpw 1100, 1200, 1300,
...9900 t]mse-bp≈ kwJy-I-tfmSv Hc-°, c≠-°-kw-Jy-Iƒ tN¿Øv kwJy-
Iƒ \n¿an-°-s´.
1000, 2000, 3000 F∂n-h-tbmSv aq∂-°-kw-Jy-Iƒ tN¿Øv -kw-Jy-Iƒ \n¿an-
°m≥ Ah-kcw \¬I-Ww.
ae-bmf A°-߃
1234123412341234 ae-bmf A°-߃ CXn-\p-apºv Fhn-sS-sb-¶nepw D]-tbm-Kn-®-Xmbn I≠n-´p-
t≠m?
Ip´n-Iƒ°v Ah ¢mkn¬ ]cn-N-b-s∏-Sp-Øm-\p≈ Ah-kcw Dt≠m-sb∂v So®¿ At\z-
jn-°-Ww.
$ PmX-Iw, Bim-cn-am-cpsS IW-°p-Iƒ, ]gb ae-bmf {KŸ-߃, \m´p-ssh-Zy-∑m-
cpsS acp∂v Ipdn-∏p-Iƒ, ]g-b-Ime DØ-c-hp-Iƒ, ... Ch In´p-sa-¶n¬ kwL-Sn-
∏n®v \¬Im≥ {ian-°-Ww.
CXv ¢mkn¬ Hcp Nm¿´vt]-∏-dn¬ hep-Xmbn FgpXn H´n-°-Ww.
Im¿Uv sIms≠m-cp-Ifn1234123412341234 Nph-∏v, ]®, a™, \oe \nd-Øn-ep≈ 4 × 40 = 160 Im¿Up-Iƒ (Nm¿ v/k¨]m°v/
t^mwt_m-Uv) Xøm-dm°n Hcp s]´n-bn¬ Ie¿Ønsh°-Ww. Ip´n-Isf 5 {Kq∏p-
I-fm-°p-∂p. Hmtcm {Kq∏pw 8 Im¿Up-Iƒ hoXw FSp-°p-∂p. ]mT-]p-kvX-I-Øn¬
\¬In-b-Xp-t]mse Hmtcm Im¿Un-t‚bpw t]mbn‚ v Fgp-Xnb Nm¿´v {]Z¿in-∏n-
°p-∂p. Hmtcm {Kq∏pw Ah¿°v In´nb t]mbn‚ v Is≠Øn Nm¿´n¬ {Kq∏ns‚
t]cpw In´nb Im¿Up-I-fpsS FÆhpw t]mbn‚pw Fgp-Xn Ah-X-cn-∏n-°p-∂p.
So®¿ sSIvÃv
12
G‰hpw IqSp-X¬ t]mbn‚ v In´nb {Kq∏mWv hnPbn. Nm¿´nse t]mbn‚ v t\m°n
hnP-bnsb Is≠-Øp-I.
Hmtcm {Kq∏pw e`n® t]mbn‚p-Iƒ t\m´p_p-°n¬ {Ia-Øn-se-gp-Xp-∂p.
$ {Iao-I-cn-°m-\p≈ Ignhv So®¿ hne-bn-cp-Øp-∂p.
$ XpS¿∂v Sn._n bnse Im¿Uv sIms≠m-cp-Ifn Ip´n-Iƒ hy‡nKX-ambn hmbn-
°p-∂p. HmtcmcpØ¿°pw In´n-b -t]m-bn‚ v Sn._n. bnse ]´n-I-bn¬ Fgp-Xp-∂p.
XpS¿∂p≈ 3 {]iv\-ßfpw ]cn-l-cn-°p-∂p. kzbw hne-bn-cp-ج Sn._n bnse
t^m¿am‰n¬ tcJ-s∏-Sp-Øp-∂p.
Rm≥ Fs∂-°p-dn®v
]mT-]p-kvX-I-Ønse kzbwhne-bn-cp-ج t^m¿am‰v Ip´n-Iƒ°v ]cn-N-
b-s∏-Sp-Ø-Ww.
$ Ip´n°v kzbw hne-bn-cp-Øm-\p-≈-Xm-Wn-Xv.
$ hne-bn-cpØn kzbw sa®-s∏-Sp-tØ-≠-Xp-≠v.
$ t^m¿am-‰nse Hmtcm kqN-Ihpw IrXy-ambn hmbn®v tcJ-s∏-Sp-Ø-Ww.
$ Cu t^m¿am‰v Xs∂ So®¿°v Hmtcm Ip´n-sbbpw hne-bn-cp-Øp∂ tcJ-
bmbn amtd-≠-Xp-≠v.
$ XpS¿∂p≈ 3 tNmZy-ßfpw "Im¿Uv sIms≠mcp Ifn' F∂ {]h¿Ø-\-Øns‚
XpS¿®-bm-Wv.
$ t]Pv 15 se "hisØ {]h¿Ø\w' Ip´n-Iƒ hy‡n-K-X-ambn Is≠Øn Ah-X-
cn-∏n-°-s´.
Im¿Up-I-sf{X1234123412341234 ÿm\-hn-e-bv°-\p-k-cn®v kwJy-Isf ]ncn-s®-gp-Xp∂ {]h¿Ø-\-am-Wn-Xv. Hmtcm-
cp-Ø¿°pw F{X hoXw Im¿Up-Iƒ In´n F∂v Ip´n-Iƒ kzbw Is≠-Ø-s´.
]mT-]p-kvX-I-Ønepw t\m´p_p-°nepw tcJ-s∏-Sp-Øp-∂p. F√m Ip´n-Ifpw IrXy-ambn
]´nI ]q¿Øn-bm°ntbm? Cs√-¶n¬ F¥p-sIm≠v?
$ ÿm\-hne Dd-∏n-°p-∂-Xn¬ IqSp-X¬ {]h¿Ø-\-߃ So®¿ Is≠-Øp-at√m.
C\n tPmWn°v In´nb t]mbn‚ns\ (2303 s\) hymJym-\n-°m-at√m!
ssk°nƒ hmßmw
(ÿm\-hne Dd-∏n-°p∂ ssk°nƒ hmßmw F∂ {]h¿Ø-\-Øn-\p-ti-j-am-bn-cn-
°Ww CXv \¬tI-≠-Xv)
t\m´p-Ifpw \mW-b-ßfpw D]-tbm-Kn®v \me°kwJy-Isf hymJym-\n-°m-\p≈
{]h¿Ø-\-am-Wn-Xv. Chn-sS-bmWv \me° kwJy-I-fpsS ÿm\-hne IrXy-X-s∏-Sp-
tØ-≠-Xv.
\me-°-kw-Jy-Iƒs°m∏w
13
A_p hmßnb ssk°n-fns‚ hne-sb{X?
IS-bn¬ \¬Inb t\m´p-Iƒ GsXms°? F{X-sbÆw?
]mT-]p-kXvIw hmbn®v Is≠Øn ]d-bp-∂p.
→ 1000 cq] 3 FÆw
100 cq] 2 FÆw
10 cq] 5 FÆw ˛ t\m´v_p-°n¬ tcJ-s∏-Sp-Øp-∂p.
XpS¿∂v "3250 s\ ÿm\-hne A\p-k-cn®v 3 Bbncw 2 \qdv 5 ]Øv F∂mWv ]d-
bpI' ˛ F∂v So®¿ Ah-X-cn-∏n-°p-∂p.
tPmWn-bpsS ssk°n-fns‚ hne-sb{X?
Sn._n hy‡n-K-X-ambn hmbn-°p-∂p. DØcw Is≠Øn B XpI A£-c-Ønepw
A°-Ønepw FgpXn Ah-X-cn-∏n-°p-∂p. So®¿ hne-bn-cp-Øp-∂p.
CXns‚ ÿm\-hne ]d-bmtam?
4265 s\ Sn._n bn¬ hyXykvX coXn-bn¬ hymJym-\n®v hy‡n-K-X-ambn Fgp-Xp∂p.
]c-kv]cw hne--bn-cp-Øp∂p, sa®-s∏-Sp-Øp-∂p.
A°-Ønepw A£-c-Ønepw
1234123412341234 ]mT-]p-kvX-I-Ønse ]´nI Ip´n-Iƒ hy‡n-K-X-ambn ]q¿Øn-bm-°p-∂p. Ah-X-
cn-∏n-°p-∂p. So®¿ hne-bn-cp-Øp-∂p.
]mt‰¨ ]q¿Øn-bm-°¬
1234123412341234 XpS¿∂v hcp∂ ]mt‰-Wp-Iƒ ]q¿Øn-bm°n ]c-kv]cw hne-bn-cp-Øp∂p Ah-
X-cn-∏n-°p-∂p. bp‡n ka¿∞\w So®¿ hne-bn-cp-Øp-∂p.
a\-°-W-°mbn sNømw
1234123412341234 Nne tNmZy-߃ D∂-bn°mw
1 + 10 + 100 + 1000
1000 + 100 + 10 + 1 F{X-bm-Wv? a\-°-W-°mbn ]d-bm-t√m.
c≠m-a-tØXv ]cn-tim-[n-°p-∂p.
BZy-tØ-Xns‚ Cc´nbt√m ASp-ØXv?
aq∂m-a-tØXv In´m≥ F¥p sNøWw?
111 + 11 + 1 I≠m¬ t]mtc. F∂n´v BZy-tØ-Xns‚ IqsS Iq´n t\m°q.
4 -˛mamtØtXm?
C\n 4 kwJy-Ifpw t\m´p-_p-°n¬ Fgp-Xn- t\m°q.
So®¿ sSIvÃv
14
]´n-I-bm-°n-bmtem? C\n Hmtcm kwJybpw ]cn-tim-[n®v t\m°q.
H∂p-Iƒ F{X?
]Øp-Iƒ F{X?
\qdp-Iƒ F{X?
Bbn-c-߃ F{X?
kwJy GXm-bn-cn°pw?
Cu coXn-bn¬ a‰p-≈-hbpw Is≠Ømw
a\-°-W°v
KWnX ]T-\-Øn¬ a\-°-W-°ns‚ {]m[m\yw F¥mWv?
$ KWnX Nn¥ hf¿Øm≥
$ kwJym {]tXy-I-X-I-fp-ambn _‘-s∏´ At\z-j-W-Xzc D≠m-°m≥
$ thK-Øn¬ {]iv\ ]cn-l-cWw
$ hyXykvX hgn-I-fn¬ \n∂v Ffp-∏-hgn Is≠-ج
$
t]Pv 18 se kwJym-hym-Jym\w Ip´n-Iƒ hy‡n-K-X-ambn sNøp-∂p.
hymJym-\n-°m-\p≈ Ignhv So®¿ hne-bn-cpØp-∂p.
]pc-kv°m-chpw h¿jhpw
123412341234 Fgp-Ø-—≥ ]pc-kv°m-c-sØ-°p-dn®v tI´n-´nt√?
eLp-N¿®
$ XpS¿∂v XpS¿®-bmb h¿j-ß-sf-gpXn ]´nI ]q¿Øn-bm-°p-∂p.
Nn{Xw t\m°n ]pc-kv°mc tPXm-°sf Xncn-®-dn-bp-∂p.
Bh-iy-amb klmbw So®¿ \evIp-I.
s]mXp--hn-⁄m\w h¿≤n-∏n-°m\pw KWn-X-Øns‚ kwJym-]-c-amb km[y-X-
Iƒ {]tbm-P-\-s∏-Sp-Øm-\p-ap-≈-Xm-Wv Cu {]h¿Ø-\-߃.
{]th-i\ \º¿123412341234 {Iaw kqNn-∏n-°p-∂-Xn\v kwJy-Iƒ D]-tbm-Kn-°p∂ Hcp kμ¿`w ]cn-N-b-s∏-Sp-
Øp-I-bm-Wn-hn-sS. ]´nI hy‡n-K-X-ambn ]q¿Øn-bm°n So®¿ hne-bn-cp-Øp∂p.
$ XpS¿∂p hcp∂ {]iv\-߃ hy‡n-K-X-ambn ]cn-l-cn-°p-∂p. So®¿ hne-bn-cp-
Øp-∂p.
temI-I∏v ^pSv_mƒ
123412341234 CS-hn´ coXn-bn¬ h¿j-ßsf {Iao-I-cn-°p∂-Xn-eqsS kwJy-Iƒ Fgp-Xp∂Xn-
\p-ap≈ {]h¿Ø-\-am-Wn-Xv. 4 h¿jw CS-hn´ coXn-bn-emWv ChnsS sNbvXn-´p-
≈-Xv.
\me-°-kw-Jy-Iƒs°m∏w
151234123412341234 hy‡n-K-X-ambn Is≠Øn ]c-kv]cw hne-bn-cp-Øp-∂p. So®dpw hne-bn-cp-Øp-
∂p. XpS¿∂p≈ {]iv\-ßfpw Ip´n-Iƒ hy‡n-K-X-ambn ]cn-l-cn-°p-∂p.
Ah-X-cn-∏n-°p-∂p.
N¿®
sImSp-ap-Sn-Ifpw Db-chpw1234123412341234 kwJy-Isf Btcm-l-W-{I-a-Øn¬ Fgp-Xm-\p≈ {]h¿Ø-\-am-Wn-Xv. Sn._n bnse
Nn{Xw \nco-£n®pw hmbn®pw {]h¿Ø\w hy‡n-K-X-ambn sNøp-∂p.
$ kwJy-Isf {Iao-I-cn-°m-\p≈ Ignhv So®¿ hne-bn-cp-Øp-∂p.
ÿm\-hne1234123412341234 FƬ hnZy-bp-ambn _‘-s∏´ Hcp {]h¿Ø-\-am-Wn-Xv.
$ 5, 0 F∂o A°-߃ D]-tbm-Kn®v Ip´n-Iƒ \me° kwJy D≠m-°p-∂p. Ah-
X-cn-∏n-°p-∂p.
So®¿ t{ImUo-I-cn-°p∂p
(5000, 5005, 5050, 5055, 5500, 5505, 5555)
XpS¿∂p≈ tNmZy-߃°v DØcw Is≠-Øp-∂p.
Rm\mcv?
Ip´n-Iƒ°v hy‡n-K-X-ambn Is≠-Øm≥ Ah-kcw \evIp-∂p.
N¿®
tImUo-I-cWw
$ 1200 \pw 1300 \pw CS-bn¬ BZysØ c≠°w 12 F∂m-bn-cn-°pw.
$ ]Øns‚ ÿm\Øv 3
1 2 3
$ Hc°w Bh¿Øn-°p-∂p.
$ Cc-´-kwJy BWv 2 Bh¿Øn-®m¬ Cc´ kwJy In´pw.
1 2 3 2
Fs∂ Is≠-Ømtam?
1234123412341234 henb \me°kwJy GXv? F∂ tNmZyw D∂-bn°mw
Hcp \meA° kwJybpw AXns‚ Cc-´nbpw Iq´n-bm¬ 9999 In´-W-sa-¶n¬ BZy
kwJy-bpsS Ah-km\ A°w F¥m-bn-cn-°Ww?
So®¿ sSIvÃv
16
1 Bbm¬ Cc´n 2. Iq´p-tºmƒ 9 In´n-√.
2 Bbm¬ Cc´n 4. Iq´p-tºmƒ 9 In´n-√.
3 Bbm¬ Cc´n 6. Iq´p-tºmƒ 9 In´p-∂p.
H‰bpw Cc- bpw
123412341234 ÿm\-hp-ambn _‘-s∏-SpØn Cc´ kwJybpw AXn¬ \n∂v ÿm\-hp-ambn
_‘-s∏-SpØn H‰ kwJybpw Is≠-Øm-\p≈ {]h¿Ø-\-am-Wn-Xv.
$ Ip´n-Iƒ hy‡n-K-X-ambn Is≠-Øp-∂p.
N¿®
t{ImUo-I-cWw
400 F∂Xv F{Xm-asØ Cc´ kwJy?
]IpXn 200.
200˛masØ Cc´ kwJy
500˛m-asØ Cc´ kwJy?
Cc´n 1000
500˛m-asØ Cc´ kwJy = 1000
500-˛m-asØ H‰ kwJy = 1000 − 1
= 999icnbpw sX‰pw1234123412341234 Ip´n-Iƒ kzm`m-hn-I-ambn hcp-Øm-hp∂ sX‰p-Iƒ N¿® sNø-s∏-tS≠ {]h¿Ø-
\-am-Wn-Xv.
]mt‰-Wp-Iƒ Nm¿´n¬ FgpXn So®¿ {]Z¿in-∏n-°p-∂p.
$ Ip´n-Iƒ hy‡n-K-X-ambn ]mt‰-Wp-I-fn¬ icn-bm-b-hbpw sX‰m-b-hbpw Is≠-
Øp-∂p, sX‰p-Xn-cpØn ]´nI ]q¿Øn-bm-°p-∂p.
{Kq∏n¬ Ah-X-cn-∏n-°p-∂p.
sX‰n-bh GsXms°? F¥v sX‰mWv h∂Xv? ImcWw F¥m-bn-cn°pw?
Ch {Kq∏n¬ N¿® sNøp-∂p.
{Kq∏p-Iƒ Is≠-Ø-ep-Iƒ Ah-X-cn-∏n-°p-∂p.
So®¿ t{ImUo-I-cn-°p-∂p.
Rß-fmcv?
1234123412341234 Ip´n-Iƒ°v hy‡n-K-X-ambn Is≠-Øm≥ Ah-kcw \evIWw
Ah-X-cWw
N¿®
3 3 3 3 +6 6 6 69 9 9 9
\me-°-kw-Jy-Iƒs°m∏w
17
t{ImUo-I-cWw
$ 2000 Øn\pw 3000 Øn\pw CS-bn¬ Bb-Xp-sIm≠v BZy A°w GXm-bn-
cn°pw?
$ H‰-kw-Jy-bm-b-Xp-sIm≠v Ah-km\ A°w
1, 3, 5, 7, 9
$ ]Øns‚ ÿm\Øv 6
$ H∂n-t‚bpw \qdn-t‚bpw ÿm\Øv Htc A°w
2 1 6 1
2 3 6 3
2 5 6 5
2 7 6 7
2 9 6 9
kpPn-Øns‚ Imdns‚ \º¿ F{X?
1234123412341234 Db¿∂ \ne-hm-c-ap≈ Hcp {]h¿Ø-\-am-Wn-Xv.
kqN\ 1 : kpPn-Øns‚ Imdns‚ \º¿ \me° kwJy BWv.
kqN\ 2 : BZysØ A°-Øns‚ Cc-´n-bmWv Ah-km\ A°w
BZy A°w 1 Bbm¬ Ah-km\w 2
2 Bbm¬ Ah-km\w 4
3 Bbm¬ Ah-km\w 6
4 Bbm¬ Ah-km\w 8
C\n-b-tßm´v Fgp-Xm≥ ]‰ptam? BZy A°w 5 BWv. Cc´n 10 F∂p-hcpw Ah-
km\w 0 F∂mWv hcn-I. ]qPyw 5 s‚ Cc´n A√t√m. 6, 7, 8, 9 F∂o A°-߃°pw
CtX coXn-bn¬ hcpw
So®¿ sSIvÃv
18
At∏mƒ BZy A°-sØ-°p-dn®pw Ah-km\ A°sØ°pdn®pw GI-tZi [mcW
e`n-®p.
1 2
2 4
3 6
4 8
kqN\ 3 : BZy-c-≠°w tN¿∂ kwJy-Ifpw Cc-´n-bmWv ASpØ c≠°w
tN¿∂ kwJy
Cc-´n-bpsS Ah-km\ A°w 2 BsW-¶n¬ ]Ip-Xn-bpsS Ah-km\w
A°w 1 Hm 6 Hm Bbn-cn°pw
Cc-´n-bpsS Ah-km\ A°w 4 BsW-¶n¬ ]Ip-Xn-bpsS Ah-km\
A°w 2 Hm 7 Hm Bbn-cn°pw
Cu coXn-bn¬ t\m°pIbmsW-¶n¬
1 1 1 2
1 6 6 2
2 2 2 4
2 7 7 4
3 3 3 6
3 8 8 6
4 4 4 8
4 9 9 8
\me-°-kw-Jy-Iƒs°m∏w
19
kqN\ 4 : c≠m-a-tØbpw aq∂m-a-tØbpw A°-߃ Xpey-am-Wv.
1 1 1 2
1 6 6 2
2 2 2 4
2 7 7 4
3 3 3 6
3 8 8 6
4 4 4 8
4 9 9 8
BZy c≠v A°-߃ tN¿∂ kwJy-bpsS Cc-´n-bmbn hcp-∂Xv
4 9 9 8
kwJy-I-sf-gpXmw
1234123412341234 FƬ hnZy-bp-ambn _‘-s∏´ {]h¿Ø-\-am-Wn-Xv.
4, 6, 7, 9 F∂o A°-߃ Bh¿Øn-°msX F{X \me° kwJy-Iƒ Fgp-Xm≥
Ignbpw
Ip´n-Iƒ hy‡n-K-X-ambn Fgp-Xs´
]c-am-h[n F{X kwJy-Iƒ Fgp-Xm≥ Ignbpw? F∂ tNmZyhpw D∂-bn-°p-I.
Ip´n-I-fpsS DØcw e`n-®m¬
4 ¬ XpS-ßp-∂h F{X?
6 ¬ XpS-ßp∂h F{X?
7 ¬ XpS-ßp∂h F{X?
9 ¬ XpS-ßp∂h F{X?
Cu coXn-bn¬ BsI FÆw Is≠-Øm≥ Ffp-∏-am¿Kw cq]o-I-cn-°mw.
Hmtcm-∂nepw XpS-ßp-∂Xv 6 FÆw BsI 4 × 6 = 24
3, 7, 0, 5 F∂o A°-ß-fm-bmtem?
Ip´n-Iƒ hy‡n-K-X-ambn Fgp-X-s´.
]c-am-h[n F{X FÆw In´pw?
0 ¬ XpS-ßm≥ ]‰m-Ø-Xn-\m¬ 3 × 6 = 18 F∂v In´pw.
4 6 7 94 6 9 74 7 9 64 7 6 94 9 6 74 9 7 6
BapJw
t¢m°v, hm®v F∂nh t\m°n kabw ]d-bm\pw tcJ-s∏-Sp-
Øm\pw Ie-≠¿ t\m°n Bh-i-y-amb hnh-c-߃ Is≠-Øm\pw
CXn-\Iw ]cn-io-e\w t\Sn-bn- p-≠v.
Ign™ ¢m n¬ t\Snb ]T-\-t\- -ß-fn-te-°v Hcp Xncn-™p-
t\m´w \S-Øn-bmWv ]mT- mKw Bcw- n-°p-∂-Xv. aWn-°q¿, an\p v
Ch-bn¬ \n∂v ka-b-Øns‚ sNdnb bqWn-‰mb sk°‚v
N¿® sNøp-∂p. 24 aWn-°q¿ t¢m°v 12 aWn-°q¿ t¢m°v, am/pm F∂nh Fs¥∂v Xncn-®-dn-bp-∂p. 24 aWn-°q¿ t¢m°nse
ka-bsØ am/pm te°pw t\scXncn®pw ]d-bm\pw tcJ-s∏-Sp-
Øm\pw tijn t\Sp∂p. kab ssZ¿Lyw Duln-°m\pw AXv
Is≠-Øm\pw kab hnhc ]´nI A]-{K-Yn®v \nK-a-\-Øn-se-
Øm\pw Cu bqWn‰v klm-bn-°p-∂p. Cu tijn-Iƒ t\Sm≥
\nX-y-Po-hn-X-hp-ambn _‘-s∏´ {]mtbm-KnI {]iv\-ß-fmWv
\¬In-bn- p-≈-Xv.
\nX-y-Po-hn-X-Øn¬ hf-sc-b-[nIw {]m[m-\-y-ap≈ Ie-≠dpw Cu
bqWn-‰ns‚ `mK-am-bn-´p-≠v. {InkvXp-h¿j-Øn\p ]pdta iI-
h¿jw, sIm√-h¿jw, lnPvd h¿jw Ch N¿® sNø-s∏-Sp-
∂p≠v. IqSmsX Hcp {InkvXp-h¿j -Xo-b-Xn-bn¬ \n∂v a‰p
h¿j-Xo-b-Xn-Iƒ Is≠-Øm\pw ]cn-io-e\w t\Sp-∂p. IqSmsX
A[n-h¿j-sØ-°p-dn®v a\-kn-em-°m\pw hnh-c-ßsf {Ia-s∏-
SpØn kabtcJ Xøm-dm-°m\pw Ah-kcw D≠v. A]-{K-Y-\w,
Xmc-Xayw sNø¬, {Iao-I-cn-°¬, ]c-kv]-c-_‘w Is≠-ج,
kmam-\y-h¬°-cn-°¬ XpS-ßnb tijn-Iƒ hyXykvX kμ¿`-
Øn¬ hne-bn-cp-Øp-∂p.
ka-b-sØ-°p-dn®pw Ie≠-dn-s\-°p-dn®pw hfsc Zo¿L-ambn
{]Xn-]m-Zn-°p∂ Cu bqWn‰v \nX-y-Po-hnX kμ¿`-ß-sf-bmWv
AXn-\p-]-tbm-Kn-®n- p-≈Xv ck-I-c-amb a‰v Adn-hp-Ifpw CXn¬
\¬In-bn- p-≠v. Cu ]mT- m-K-Øn-eqsS kabw/Ie-≠¿ Ch-bpsS
{]m[m-\yw Xncn-®-dn™v {]h¿Ø-\-߃ Xbm-dm-°m\pw Ah
kz¥w Pohn-X-Øn¬ {]tbm-Kn-°m\pw {]mh¿Øn-I-am-°m\pw Ip n-
Iƒ°v Ignbs´.
2 ka-b-N{Iw
So®¿ sSIvÃv
2
$k
a-b
-hp-a
mbn _
‘s∏
´ h
yXyk
vX {]
h¿Ø
-\-
ß-fn-e
qsS t¢
m°ns
e k
qNn-I
ƒ X
ncn-®
-dn™
v
Ah
-bps
S N
e\
w t\
m°n sk
°‚
v, an\
pv, aW
n-
°q¿
_‘
w h
ni-Zo-I
-cn-°
p-∂p.
$sk
°‚
n\v k
a-b
-Øns
‚ a
‰v b
qWn-‰p-I
-fp-a
m-bp≈
_‘
w {]
mtb
m-KnI
{]
iv\
-ß-fn-e
qsS I
s≠
-Øp-
∂p.
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kabw: 22 ]ocn-bUv
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? hnt£-]Ww Bcw-`n® kabw Ft∏m-gmWv?
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? Bi-bpsS ssIbnse t¢m°nse kqNn-Iƒ GsXms°bmWv?
? F¥mWv sk°‚ v?
?
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3 SMv ¢o\-dp-Iƒ (hy-XykvX
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t¢m°n¬ ImWn-°p-∂p. Ip´n-
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tcJ-s∏-Sp-Ø-Ww.
$ t]m¿´v t^mfntbm kqN-I-߃
D]-tbm-Kn®v hne-bn-cp-Øp-∂p.
kn.Un sIm≠v h´w hc-bv°p-∂Xv Ffp-∏hpw
F√m-h-cp-sSXv Hcp t]mse-bm-hp-Ibpw
sNøpw. Nn{X-Øn¬ D≈-Xp-t]mse hrØ-
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Hcp NXpcw hc-bv°p-I. NXp-c-Øns‚ Hmtcm
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hrØsØ sXm´n -c n -°p -I.
AhnsS apIƒ mKØv 12 F∂pw
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I. XpS¿∂v 12 ¬ \n∂v 9 te°pw
9 ¬ \n∂v 6 te°pw 6¬ \n∂v 3 te°pw
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I. ChnsS 1, 2, 4, F∂nh kabw Fgp-Xp-I.
kvsIbn¬ sh®v t\m°n-bm¬ 11 Dw 4 Dw
FXn¿ hi-ß-fn¬ hcpw.
ca So®¿ Xs‚ hne-bn-cp-ج t]Pn¬ Cßs\sbgp-Xn, {]h¿Ø\ ]¶m-
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ج F∂o {]{In-b-IfpsS hne-bn-cp-ج \S-Øn. \njbpw B\nbpw
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So®¿ sSIvÃv
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tijn-Iƒ So®¿°v hne-bn-cp-Ømw.
FgpXmw hcbv°mw
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Ah-k-c-Øn¬ kqNn-Iƒ hc-bv°m-\p≈ {]h¿Ø-\-ß-fpamWv \¬In-bn-´p-≈Xv.
$ {]h¿Ø\w hy-‡n-K-X-ambn sNbvX-Xn-\p-tijw {Kq∏n¬ hne-bn-cp-Øp-Ibpw
CXp-hsc \S∂ {]h¿Ø-\-ßsf ASn-ÿm-\-am°n Rm≥ Fs∂°pdn®v F∂
tImfw hy-‡n-K-X-ambn ]q¿Øn-bm-°p-Ibpw sNøp-∂p. kzbw hne-bn-cp-Øp-∂p.
100 hsc FgpXmw, Hm´a’cw
1234123412341234 sk°‚ v, an\p´v _‘w Dd-∏n-°p∂ Cu {]h¿Ø\w Ip´n-Iƒ hy-‡n-K-X-ambn
hmbn-°p-∂p. ]´nI hy-‡n-K-X-ambn ]q¿Øn-bm-°p-∂p. So®¿ hne-bn-cp-Øp∂p.
$ Dulw tcJ-s∏-Sp-Øn-b-Xn-
\p-tijw So®¿ ]d™p
XpS-ßp-tºmƒ FgpXn XpS-
ßp -∂p. So®¿ tÃm∏v
hm®ns‚ klm-b-tØmsS
Hmtc m - c p -Ø - c p - s Sb p w
kabw Is≠-Øp-∂p.
$ ¢m nse BZysØ
5 ÿm\-°m-cpsS t]cpw
ka-bhpw t_m¿Un¬ Fgp-
Xp-∂p.
$ Ip´n-Iƒ t\m´v_p-°n¬ Cu 5 t]cpsS ka-bsØ an\p´pw sk°‚pw D]-tbm-
Kn®v Fgp-Xp-∂p.
$ So®¿ hne-bn-cp-Øp∂p
Hm´a’cw
123412341234 {]h¿Ø\w Ip´n -Iƒ hy -‡n -K -X -ambn hmbn -°p -∂p. ]´nIsb
A]-{K-Yn®v AXn\v Xmsg \¬Inb tNmZ-y-߃°v hy-‡n-K-X-ambn DØcw Is≠-
Øp-∂p. (Cu a’-c-Øn¬ kz¿Æw t\Snb-Xv aptI-jh am¿Ks‰ (Margavitamukasheva) -bmWv.)
Xmc-X-ayw sNøp-∂p. ]c-kv]c _‘w Is≠-ج, A]-{K-Yn-°¬,
{]iv\w \n¿W-bn-°p-∂p., {Iao-I-cn-°¬, ]´nIs∏Sp-ج F∂o
tijn-Iƒ So®¿ hne-bn-cp-Øp-∂p.
""Ip´n-Iƒ Dulw tcJ-s∏-Sp-ØnbXn\p-tijw
Rm≥ Ãm¿´v ]d-™-t∏mƒ FgpXn XpS-ßn. BZy
-sØ-bmƒ ssI s]m°n-bXv 103˛mw sk°‚n¬
Ah\v J3 F∂pw 108- mw sk°‚n¬ ssI s]m°n-
b-h\v J8 F∂pw 111˛mw sk°‚n¬ h∂-h\v J11F∂pw Fgp-Xn. Cw•o-jnse 10˛masØ A£-c-
Øn\v Rm≥ 100 sk°‚ v \¬In. AXn-t\mSv a‰v
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ka-b-N{Iw
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ip`bm{X
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$ So®dpsS hni-I-e\ tNmZ-y-߃
? Ime-h¿jw Ft∏mƒ Bcw-`n-°p-sa-∂mWv ]d-bp-∂Xv?
? 24 aWn-°qdpw Znh-khpw XΩn¬ F¥mWv _‘w?
? 24 aWn-°q-dn¬ GI-tZiw F{X aWn-°q-dmWv ]I¬?
? cm{Xntbm?
? cm{Xnbpw ]Iepw tN¿∂m-Ws√m Hcp Znh-kw. F¶n¬ Hcp Znhkw Bcw-
`n-°p-∂Xv Ft∏m-gmWv?
? ssa°n¬ ]d-bp∂ kabw F{X-bmWv?
? D®-`-£-W-Øn-\ptijw ¢m v XpS-ßp∂ kabw?
? ka-bsØ am, pm F∂nßs\ Xncn-®Xv hmbn-®-t√m. Fß-s\-bm-WXv?
? F¶n¬ 14 aWn F∂p ]d-™m¬ F{X-bmWv? AXv am BtWm pm BtWm?
? 19 aWntbm? am, pm?
? 10 aWntbm?
$ Cu coXn-bn¬ ¢m ns‚ Bh-i-y-a-\p-k-cn®v Bh-iy-amb ka-bØv 24 aWn-°q¿
t¢m°ns‚bpw 12 aWn-°q¿ t¢m°ns‚bpw Imc-y-Øn¬ hni-I-e\ tNmZ-y-߃
So®¿ tNmZn-t°-≠-Xm-Wv.
$ XpS¿∂v Sn._nse t]Pv 31 se Ip´-nIfpsS kw`m-jWw Ip´n-Iƒ kzbw \n¿[m-
cWw sNø-s´.
am‰n-F-gpXmw
123412341234 am, pm kab-ß-sf-°p-dn®v Ip´n-Iƒ CXn-\Iw Ipsd Imc-y-߃ a\-kn-em-°n-bn-
´p-≠v. AXns‚ Hcp XpS¿ {]h¿Ø-\-am-Wn-Xv.
$ Xoh≠n kabw \¬Inb BZ-ysØ ]´n-I-bn¬ Ip´n-Iƒ ka-bsØ am, pmt¢m°n-te°pw _ p-I-fpsS kabw \¬Inb c≠m-asØ ]´n-I-bn¬ am, pm\¬Inb ka-bsØ 24 aWn-°q¿ t¢m°n-te°pw am‰n-sb-gp-XWw.
$ Ip´nIƒ hy-‡n-K-X-ambn 2 ]´n-Ibpw hmbn-®-tijw 2 ]´n-I-bn-sebpw Ah-km-
\sØ 2 tImf-߃ t\m´v _p°n¬ hc®v ]´nI ]q¿Øn-bm-°p-Ibpw So®¿
AXv hne-bn-cp-Øp-Ibpw thWw. XpS¿∂v AXv Sn._n-bn¬ tcJ-s∏-Sp-Øp-Ibpw
sNø-Ww. Is≠-Ønb hgn Ah-X-cn-∏n-°m≥ Ah-kcw \¬I-Ww.
So®¿ sSIvÃv
8
A]-{K-Yn-°¬, hy-X-ykvX hgn-Iƒ At\-z-jn-°¬, {]tbm-Kn-°¬,
Bibw hn\n-abw sNø¬ F∂o tijn-Iƒ hne-bn-cp-Ø-Ww.
kvIqfn-te°v, \ym-b-hn-e-°-S, _m¶n-te°v
1234123412341234 am, pm ka-b-hp-ambpw 24 aWn-°q¿
t¢m°p -ambpw _‘-s∏-´mWv Cu
{]h¿Ø-\-߃ \¬In -bn -´p -≈-X v .
¢m n¬ CXv {]{In-bm-_-‘n-X-ambn \S-
Ø-Ww.
$ {]h¿Ø-\-߃ Ip´n-Iƒ hy‡n-K-X-
ambn t\m´p_p-°n¬ ]q¿Øn-bm-°p-
Ibpw So®¿ hne-bn-cp-Øp-Ibpw thWw.
Bh-i-y-ambn hcp∂h¿°v ssIXmßv
{]h¿Ø-\-߃ \¬Ip-Ibpw thWw.
DØ-c-Øn-se-Ønb coXn- Ip´n-Iƒ Ah-
X-cn-∏n-°p-tºmƒ ]n∂m-°w \n¬°p∂-h¿°v BZyw Ah-kcw \¬IWw..
$ ""F{X aWn-°q¿'' F∂ Sn._n tNmZyw CXp-t]mse Ah-X-cn-∏n-°-Ww. 3˛mw¢m n¬ Ip´n -t\-Snb tijn-bm-Wn-Xv. Cßs\ Ah-X-cn-∏n-°p-∂-Xn-eqsS hyXy-
kvX-amb coXn-Iƒ Ip´n-Iƒ°v ]cn-N-b-s∏-Smw...
$ -""H-gn-hm-°n-bm¬ ]T\ kabw F{X'' F∂ Sn._n-bnse tNmZ-y-Øn\v Bh-i-y-
amb hni-I-e\ tNmZ-y-߃ So®¿ Is≠-Ø-Ww.
$ D®-`-£W kabw F{X aWn-°q¿? AXv Ipd-®m¬ F{X aWn-°q¿? -C-Ø-c-
Øn¬ ]n∂m-°-°m-cs\ ap≥ \n¿Øn-bm-bn-cn-°Ww hni-I-e\ tNmZyw D∂-bn-
t°-≠-Xv.
$ 12 aWn°q¿ t¢m°n¬ aWn-°q¿ kqNn Hcp Znhkw 2 {]mh-i-y-amWv apgp-h≥
Id-ßp-∂-Xv.
hy--X-ykvX coXn-bn¬ \¬In-bn-cn-°p∂ 2 ka-b-߃°nS-bn-ep≈ kab ssZ¿Ly-
amWv ASpØ 2 {]h¿Ø-\-ß-fn-eqsS Ip´n-Iƒ ]q¿Øn-bm-t°-≠Xv.
A]-{K-Y-\w, Xmc-X-ayw sNø¬, {]tbm-Kn-°¬ F∂o tijn-Iƒ
hne-bn-cp-Ø-Ww.
kabssZ¿Lyw Is≠Ømw1234123412341234 \n›nXka-b-߃°n-S-bn¬ {]h¿Øn-°p-∂ H´-\-h[n ÿm]-\-߃ \ap°v
Np‰pw D≠v. Ahsb Is≠Øn Ah-bpsS ka-b-ssZ¿Lyw F{X-sb∂v Is≠-
Ømw. (DZm. t]mÃv Hm^o-kv, kmbm” _m¶p-Iƒ, A·n-i-a\\ne-bw,
t]meokvtÃj≥, Bip-]-{Xn-Iƒ.....)
D®-`-£W kabw Hgn-hm--°n-bm¬
F{X aWn-°q¿ F∂ tNmZ-y-Øn\v
IrXyamb DØcw In´n. F∂m¬
cmhn-esØ CS-th-f-bmb 10 an\p´v
Ipd-®mtem? aq∂v \mev t]¿ 4 aWn-
°q¿ 90 an\p´v F∂v ]d-™p. Cu
Ip´n-Iƒ°v aWn-°q¿ an\p v _‘w
Hm¿Ω-s∏-Sp-Øp∂ Nne {]h¿Ø-
\-߃ \¬tI-≠n-h-∂p. ca So®¿
hne-bn-cp-ج t]Pn-se-gp--Xn.
ka-b-N{Iw
9
Cu {]h¿Ø-\sØ t]m¿ v t^mfntbm hne-bn-cp-Ø-en-\p≈
kqN-I-߃ D]-tbm-Kn®v (t]Pv 47) So®¿ hne-bn-cp-Ø-Ww.
sXmgn¬ kabw1234123412341234 hy-XykvX ÿm]-\-ß-fnse sXmgn¬ ka-b-ßsf-°p-dn-®p≈ t{]mP-IvSn-\p-ti-
j-amWv Cu {]h¿Ø\w Ip´n-Iƒ Gs‰-Sp-°p-∂-Xv. 24 aWn-°q¿ t¢m°nse ka-
bsØ am, pm te°pw (12 aWn-°q¿ t¢m°n-te°v) am, pm ¬ \¬Inb ka-
bsØ 24 aWn-°q¿ t¢m°n-te°pw \n›nX ka-b-߃°n-S-bn-ep≈ kab
ssZ¿Lyw, BsI ka-bw, ka-b-h-y-X-ymkw F∂nhbmWv ChnsS ssIIm-cyw
sNøp-∂-Xv.
$ So®¿ ]mT-`mKw AX-h-cn-∏n-°p-Ibpw ]n∂m°w \n¬°p-∂-h¿°v ap≥K-W\
\¬In {]h¿Ø\w Xbm-dm-t°-≠-Xp-am-Wv. t\m´v_p-°nepw Sn._n bnepw tcJ-
s∏-Sp-Øp-Ibpw thWw. HSp-hn¬ Ip´n kzbw hne-bn-cp-Øm-\p≈ ]´nI kz-¥-
ambn ]q¿Øn-bm°n hne-bn-cp-Øp-∂p. ]cn-anXnIƒ Xncn-®-dn™v sa®-s∏-Sp-Øp-
∂p.
k¿°kv1234123412341234 c≠v ka-b-߃°n-S-bn¬ F{X-k-abw F∂v CXn-\Iw Ip´n-Iƒ a\- n-em-°n-bn-
´p-≠v. Zo¿L-amb c≠v ka-b-߃°n-S-bnep≈ ssZ¿Lyw ImtW-≠n-h-cp-tºmƒ
AXv Fßs\ Is≠Ømw F∂v Sn._n.-bn¬ \¬In-bn-cn-°p-∂p. a‰v coXn-Ifpw
Ah-X-cn-∏n-°mw.
$ Sn._n. bn¬ \¬In-bXp t]mse 6.15 am apX¬ 6.15 pm hsc...-F-∂-coXn kzo-I-
cn-°mw. hnc-ep-Iƒ sIm≠v FÆn Is≠-Ømw. ka-b-ßsf an\p´pIfm°n am‰n
Iq´n-b-Xn-\p--tijw aWn-°qdpw an\p´pw B°mw .......Cßs\ hy-X-ykvX coXn-Iƒ
¢m n¬ ]cn-N-b-s∏-Sp-Ø-Ww.
$ an\p-´p-I-fn¬ ]d™ 2 ka-b-߃ Iq´p-tºmƒ 60 an\p-´m-sW-¶n¬ AXv 1 aWn-
°q-dmbpw 60 an\p-´n¬ IqSp-X-em-sW-¶n¬ AXv aWn-°qdpw an\p-´p-ambpw am‰n
FgpXm\mh-i-y-amb ]cn-io-e\w So®¿ \¬tI-≠-Xm-Wv.
$ as‰mcp {]iv\w \¬In-bn-cn-°p-∂p. AXv Ip´n-Iƒ F≥.-_n.-bn¬ sNbvXv So®¿
]cn-tim-[n-°p-Ibpw hy-X-ykvX coXn-Iƒ ¢m n¬ Ah-X-cn-∏n-°p-Ibpw sNøWw.
$ ASpØ tNmZyw 24 aWn-°q¿ t¢m°n-ep-≈-XmWv AXv {]{In-bm-_-‘n-X-ambn
sNbvXp \¬In-bn-´p-≠v. ( t]Pv 35) XpS¿∂v \¬Inb 3 {]h¿Ø-\-߃ Ip´n-
Iƒ hy-‡n-K-X-ambn ]q¿Øn-bm-°p-∂p.
]´nI ]q¿Øn-bm°mw1234123412341234 {]h¿Ø-\w e£ywsh°p-∂Xv c≠v ka-b-߃°n-S-bn-ep≈ ssZ¿L-yw ImWp-
∂-Xn-\mWv BZ-ysØ 4 FÆw ka-b-ssZ¿Lyw (bm{Xbv°vs°mSpØ kabw)
ImWp-hm\pw ka-b-ssZ¿Lyw In´n-bm¬ Hcp \n›nX kabØn¬ \n∂v AXv
Ah-km-\n-°p∂ kabw Is≠-Øp-hm\pw Ip´n-Isf {]m]vX-cm-°p-∂p. ]´n-I-
So®¿ sSIvÃv
10
bnse Ah-km-\sØ 3 tImf-߃ F≥.-_n-bn¬ hc®v {]h¿Ø\w ]q¿Øn-bm-
°p-Ibpw So®-dpsS ]cn-tim-[-\-bv°vtijw Sn._n-bn¬ tcJ-s∏-Sp-Øp-Ibpw thWw.
$ ]´nI Ip´n-Iƒ hy-‡n-K-X-ambn hmbn-°p-∂p.
A]-{K-Y\w, Xmc-X-ayw sNø¬, {]mtbm-Kn-°¬ hyXykvX
hgn-Iƒ At\z-jn-°¬, X´n-®p-t\m-°¬ F∂o tijn-Iƒ
hne-bn-cp-tØ-≠-Xm-Wv.
¢m p-I-fn¬ ]c-ky-I-e-≠-dp-Iƒ°v
]Icw apJy-[mc Ie-≠-dp-Iƒ D]-
tbm-Kn-®m¬ AXn¬ \¬In-b hnh-
c-߃°v B[n-Im-cn-I-X-bp-≠mhpw
Ip´n-I-tfmSv ap≥Iq´n ]d™v hoSp-
I-fn¬ \n∂v Ie-≠¿ sIm≠p-h-cmw.
Ie-≠-dn¬ hnh-c-߃ tcJ-s∏-Sp-
Øm≥ ¢m n¬ Hcp s]mXp-am-\-
Zfiw So®¿°v kzoI-cn-°m-hp-∂-
XmWv.
31 Znh-k-߃ D≈ amk-ß-fn¬
H∂mw XobXn sh≈n, i\n,
Rmb¿ Znh-k-ß-fn¬ h∂m¬ B
amk-ß-fn¬ 5 Rmb-dm-gvN-Iƒ D≠m-
bn-cn-°pw. 30 Znh-k-ap≈ amk-ß-
fn¬ H∂mw XobXn i\n, Rmb¿
Znhkw BsW-¶n¬ B amk-
Ønepw 5 Rmb-dm-gvN-Iƒ D≠m-bn-
cn-°pw.
CXp-hsc \S∂ {]h¿Ø-\-߃ sk°‚ v, an\p´v, aWn-°q¿ F∂nh XΩn-ep≈
_‘w Dd-∏n-°m≥ th≠n-bp-≈-Xm-Wv. H∏w 24 aWn-°q¿ t¢m°n¬ \¬Inb ka-
bsØ am, pm ka-b-Øn-te°v am‰m\pw Ip´n-Isf {]m]vX-cm-°p-hm≥ Dt±-in-®m-
Wv. HSp-hn-embn 24 aWn°q¿ t¢m°nepw 12 aWn-°q¿ t¢m°nepw 2 ka-b-߃°v
CS-bn-ep≈ kabssZ¿Lyw Is≠-Øp-hm-\p-am-bn-cp-∂p. ta¬]-d-™ tijn t\Sm≥
Ign-bmØ Ip´n-Iƒ°v Bh--iyamb k∂-≤Xm{]h¿Ø-\-߃ So®¿ \¬Ip-Ibpw
Ip´n°v CXpambn _‘-s∏´ ]T\ t\´w In´n-sb∂v Dd-∏p-h-cp-Øp-Ibpw thWw.
Ie-≠¿ t\m°mw1234123412341234 Ie-≠¿ t\m°n ]mT-]p-kvX-I-Øn¬ Bh-iy-s∏´ Imcy-߃ hy‡n-K-X-ambn
Is≠Øn t\m´v_p°n¬ tImf-߃ hc®v amkw, Znh-k-ß-fpsS FÆw F∂n-
h-sb-gp-Xp-∂p. BsI Znh-k-߃ Is≠-
Øp-∂p. So®¿ ]cn--tim-[n-°p∂p Ie-≠-
dn¬ \n∂v amk-ß-fpsS t]cp-Iƒ, Xob-
Xn-Iƒ, a‰p amk-߃ Cw•ojv amk-
Ønse GXp ZnhkamWv Bcw- n-°p-∂Xv
apX-em-bh Is≠-Øp-∂p.
$ sSIvÃv-_p-°n¬ t]Pv 37 ¬ \¬Inb
Cw•ojv amk-߃°pw Xob-Xn-Iƒ°pw
kam-\-amb a‰p h¿j-ß-fnse amk-ß-
fpsS Xob-Xn-Ifpw BZyw t\m´v_p-°n¬
]ns∂ sSIvÃv-_p-°nepw tcJ-s∏-Sp-
Øp∂p.
ASpØ tNmZy-ß-fp-ambn _‘-s∏´ Nne
hni-I-e\ tNmZy-߃ Bh-iy-ambn ht∂-
°mw.
? 5 Rmb-dm-gvN-Iƒ D≈ amk-ß-fpsS
{]tXy-IX F¥mWv?
? B amk-ß-fn¬ H∂mw XobXn
Bcw-`n-°p-∂Xv GXv Znh-k-amWv?
ka-b-N{Iw
11
? H∂mw Xob-Xnbpw 29˛mw Xob-Xnbpw XΩn¬ F¥mWv _‘w?
? H∂mw Xob-Xn-bpsS Znhkadn-™m¬ 30˛mw Xob-Xnbpw 31˛mw Xob-Xnbpw
]d-bm≥ Ign-bptam? 28˛mw Xob-Xntbm?
? H∂mw XobXn Rmb-dm-gvN-bm-sW¶n¬ B amk-Ønse Rmb-dmgvNIfnse
Xob-Xn-Iƒ GsXm-s°-bm-bn-cn°mw?
CØ-c-Øn¬ Bh-iy-amb tNmZy-߃ ¢m ns‚ kml-Ncyw a\- n-em°n So®¿
Xøm-dm-°-Ww.
A]-{K-Y\w, hyXykvX hgn-Iƒ At\z-jn-°¬, {]tbm-Kn-°¬, \nco-
£n-°¬, Xcw-Xn-cn-°¬, \nK-a\w cq]o-I-cn-°¬ F∂o tijn-Iƒ
hne-bn-cp-Ø-Ww.
P∑-Zn\w
1234123412341234 ¢m v N¿®bv°v tijw Ip´n-Iƒ ho´p-Im-cpsS klm-b-tØmsS Cu {]h¿Ø\w
\S-Ø-s´. BZyw t\m´p_p-°n¬ sNøp∂ {]h¿Ø\w So®-dpsS ]cn-tim-[-\bv°v
tijw sSIvÃv-_p-°n¬ tcJ-s∏-Sp-Øp-∂p. Ip´n-Iƒ°v t]∏¿ \¬In CXns\
Hcp ]Xn-∏mbn am‰mw. sSIvÃv-_p-°nse t]Pv 37 se Ie≠¿ ]q¿Øn-bm-°p-∂p.
366 Znh-kw123412341234 s^{_p-hcn amksØ Ie-≠¿ Ip´n-Iƒ hy‡n-K-X-ambn ]cn-tim-[n-°p-∂p.
$ So®¿ Bh-iy-sa-¶n¬ Nne tNmZy-߃ tNmZn-°p-∂p.
? 2012 s^{_p-hcnbn¬ F{X Znhkw?
? 2013 Bbmtem?
? 2014 Bbmtem?
? s^{_p-h-cnbn¬ 29 Znhkw hcp∂ ASpØ h¿j-taXv?
? A[n-h¿jw Xncn-®-dn-bp∂p. ]T\-{]-h¿Ø-\-߃ Gs‰-Sp-°p-∂p.
? 2020 se s^{_p-hcn amksØ Ie-≠¿ Ip´n-Iƒ hy‡n-K-X-ambn t\m´v_p-
°n¬ ]q¿Øn-bm-°p-∂p. So®¿ ]cn--tim-[n-°p-∂p.
A]-{K-Y-\w, Xmc-Xayw sNø¬, {Iao-I-cn-°¬, kmam-\y-h-Xv°-cn-
°¬, {]tbm-Kn-°¬ F∂o tijn-Iƒ hne-bn-cp-Ømw.
ka-b-tcJ123412341234 ka-b-tc-J-bpambn _‘-s∏´v ¢m n¬ Hcp N¿®- \S-ØWw.
$ So®¿ Ip´n-Isf hy‡nKX hmb-\-bn-te°v \bn-°p-∂p.
So®¿ sSIvÃv
12
$ sSIvÃv-_p-°n¬ \¬Inb hnh-c-߃
Ime-{I-a-a-\p-k-cn®v hy‡n-K-X-ambn
t\m´p_p-°n¬ Fgp-Xp-∂p.
$ hy‡n-K-X-ambn {]h¿Ø-\-Øn-\p-
tijw Ip´n-Isf {Kq∏p-I-fmbn Xncn®v
{]h¿Ø\w sa®-s∏-Sp-Øp-∂p.
$ {Kq∏-h-X-cWw ˛ So®-dpsS CS-s]-S¬
$ sSIvÃv-_p-°n¬ \n›n-X-ÿeØv
Ime-{I-a-a-\p-k-cn®v 1, 2, 3, ... F∂n-
ßs\ tN¿°p-∂p.
$ kvsIbn¬sIm≠v IpØs\ Hcp hc
hc®v Hcp `mKØv h¿jhpw adp-`m-
KØv kw -h-ßfpw Fgp-Xp-∂p. h¿j-
߃°v \n›n-X-amb Hcp tXmXv D]-
tbm-Kn-®m-bn-cn-°Ww tcJ-s∏-Sp-tØ-
≠Xv.
$ CXns\ Hcp ]Xn-∏m°n am‰n-bmtem?
Km‘n-Pn-bpsS Nn{Xw ]Xn-°p-at√m?
Bcp-tS-XmWv anI-®Xv?
$ t]m¿´vt^m-fntbm kqN-I-ß-fp-]-tbm-Kn®v hne-bn-cp-Øp-∂p.
A]-{K-Yn°¬, {Iao-I-cn-°¬, Nn{Xo-I-cn-°¬ F∂o tijn-Iƒ hne-
bn-cp-Ø-Ww
\nßsf kw_-‘n-°p∂ Hcp ka-b-tcJ \n¿an-®mtem? Npcp-ßn-bXv 5 tNmZy-
ß-sf-¶nepw thWw. t]m¿´vt^m-fntbm kqNIw D]-tbm-Kn®v hne-bn-cp-Øp-∂p.
$ {]h¿Ø-\-Øn\p apºv ¢mkn¬ CXp kw_-‘n® N¿® \S-°-Ww.
t{]mPIvSv
$ kz¥w Pn√-bpsS cq]o-I-c-W-Øn-\p-tijw D≠mb {][m-\-s∏´ 10 Imcy-߃
(ÿm]-\-߃, \ne-hn¬ h∂ h¿jw, Pn√bv°v In´nb Ahm¿Up-Iƒ, Pn√
Gs‰-SpØv \S-Ønb kz¥w t{]mPIvSv, AXn {][m-\-hy-‡n-I-fpsS kμ¿i-\w,
Zpc-¥-߃, kw`-h-߃, ImbnI a’-c-߃...) Dƒs°m-≈n-®p-sIm≠v Hcp ka-
b-tcJ Xøm-dm-°q.
ho´p-Im-cpsS klm-b-tØmsS Xøm-dm-
°p∂ P∑-Zn\ Ie-≠-dn-s\m∏w Ah-
cpsS hnZym- ym-kw, hcp-am-\w, k∂-≤X
{]h¿Ø-\-߃, Iem-Im-bnI A`n-cp-
Nn... XpS-ßn-bh- IqSn Dƒs∏-Sp-Øn-bm¬
IpSpw-_-sØ-°p-dn-®p≈ Hcp hnh-c-ti-
J-cWw So®¿°v e`n-°pw. IpSpw-_-
Øns‚ Hcp t^mt´m-IqSn Bbmtem?...
CXv \s√mcp IpSpw_ ]Xn-∏m°n
kq£n-°mw.
A[n-h¿jw
4 h¿jw IqSp-tºmƒ 366 Znhkw
s^{_p-h-cn°v 29 Znhkw
s^{_p-hcn amkw 1˛mw Xob-Xnbpw
29˛mw Xob-Xnbpw Htc Znh-k-am-bn-cn-
°pw.
1˛mw XobXn GXv Znh-k-amtWm B
Znhkw amkØn¬ 5 {]mhiyw D≠mbn-
cn-°pw.
ka-b-N{Iw
13
$ Ip´n-Iƒ Xøm-dm-°nb Cu {]h¿Ø\sØ t]m¿´vt^m-fntbm hne-bn-cpØen-
\p≈ kqN-I-߃ D]-tbm-Kn®v (t]Pv 47) So®¿ hne-bn-cp-Ø-Ww.
At\z-jn®v Is≠-Ømw, Xøm-dm-°mw123412341234 CXpw Hcp t{]mP-IvSmbn So®¿ ¢m n¬ Ah-X-cn-∏n-°p-∂p.
$ ¢m v N¿® ˛ t{]mP-IvSns‚ LS\ ˛ At\z-jWw GXv coXn-bn¬ ˛ ¢mkvXe
t{ImUo-I-c-Ww.
hy‡n-K-X-ambn Is≠-Øn-bXv t]m¿´vt^m-fntbm kqN-I-߃ D]-tbm-Kn®v hne-bn-
cp-Ø-Ww.
$ t¢m°p-ambn _‘-s∏-´mWv ASpØ c≠v tNmZy-߃ t\m´v_p-°n¬ AXv Ip´n-
Iƒ Nn{Xo-I--cn-°-Ww. {]h¿Ø-\-Øn\p apºv ˛ ""t¢m°nse kwJy-Isf tPmSn-
I-fm°n am‰n-b-t∏mƒ F√m tPmSn-I-fp-sSbpw XpI Htc kwJy-bm-bn-cp-∂p.'' F∂
tNmZyw D∂-bn-°p-Ibpw {]iv\-]-cn-l-cWw \S-Øp-Ibpw sNø-Ww.
Ie-≠¿ IuXpIw1234123412341234 Ie-≠-dp-ambn _‘-s∏´v \nc-h[n IuXp-I-߃ \ap°v Is≠-Øm≥ Ign-bpw.
ChnsS cs≠Æw \¬In-bn-´p-≠v. _m°n-bp-≈h Is≠-Øp-at√m?
$ 9 If-ß-fn-se XpI Is≠Øm≥ Ffp-∏-am¿§w \Sp-hnse kwJysb 9 sIm≠v
KpWn-®m¬ aXn. Is≠-Ønb a‰p coXn-bn-Ifpw Ah-X-cn-∏n-°-Ww.
$ c≠m-asØ tNmZy-Øn\v IpØ-s\bpw hne-ß-s\bpw Iq´n--bm¬ Htc kwJy
DØcw In´pw.
$ Ie-≠-dnse ad-™p-t]mb XobXn Is≠-Øp∂ {]h¿Ø\w ]q¿Øo-I-cn-°p-
∂-Xn-\p-apºv c≠v hcn-bn-sebpw Ah-km\sØ XobXn (12, 19) B BgvN-bpsS
Ah-km\ Znh-k-amtWmsb∂v Dd-∏p-h-cp-ØWw.
$ Ah-km\w \¬Inb 3 tNmZy-߃ Ip´n-Iƒ hy‡n-K-X-ambn ]cn-l-cn-°p-hm≥
D≈-Xm-Wv. hne-bn-cp-ج {]h¿Ø-\-ambn am‰m-hp-∂-Xm-Wv.