Ah-[n-°me ]T\ ]mt°Pv ˛ hnP-b{io (A°m-Z-anI t\XrXzw : Ub‰v ]me-°mSv) BapJw

]pXnb ]T-\-h¿jw XpS-ßp-I-bm-bn. ]n∂m-°-sa∂v ap{Z-Ip-Ø-s∏´ \ΩpsS Pn√bv°pw \ΩptSXmb km[y-X-Iƒ D≠v F∂Xv \nkvX¿°-am-Wv. Db¿∂ t{KUv hmßp∂ Ip´n-I-fpsS FÆ-Øn¬ kwÿm\ icm-i-cn-tb-°mƒ Gsd ap∂n-emWv \mw. F∂m¬ Gsd ]n∂m°w \n¬°p-∂-hsc th≠{X klmbn-°m≥ \ap-°m-bn-´n-√. hnhn[ hnj-b-ß-fn¬ D t{KUv hmßn-b-h-cpsS FÆw CXn\p sXfn-hmWv. Xß-fptSX√mØ Imc-W-Øm¬ ]T-\-Øns‚ s]mXp-[m-c-bn¬\n∂p ]pdØp-\n¬°p-∂-hsc klm-bn-°m-\p≈ Hcp ]cn-{i-a-amWv Cu ]≤Xn. kmaq-lnIhpw IpSpw-_-]-c-hp-amb kml-N-cy-ß-fm¬ th≠{X ]T-\m-`n-apJyw ImWn°mØ Ip´n-Isf Is≠Øn Ahsc ]T\ {]h¿Ø-\-ß-fn-te°v BI¿jn°pI F∂-XmWv Cu CS-s]-S-ens‚ apJy-e-£yw. Ip´n-bpsS kmam-\y-t_m-[sØ icn-bmbhÆw A`n-kw-t_m-[\ sNøp-∂Xn-epw, AXns\ ]T-\-h-kvXp-X-I-fp-ambn imkv{Xo-b-ambn Iq´n-bn-W-°p-∂-Xn-epw, \ΩpsS ¢m€p-ap-dn-Iƒ ]cm-P-b-s∏-Sp-tºm-gmWv ]n∂m-°-°m¿ D≠m-Ip-∂Xv F∂v ]fin-X-a-Xw. Chn-sS-bmWv ]Ømw-¢m-€nse ]T-\-h-kvXp-X-I-fn-te°v Ip´n-Isf kzm`m-hn-I-ambn IÆn-tN¿°m≥ klm-b-I-c-amb ]T-\-km-a-{Kn-Iƒ hnI-kn-∏n®v Ah¿°v khn-tij ]T\ A\p-`-h-߃ \¬Ip∂Xns‚ {]k-‡n. CXn-\mbn F√m kv°qfp-I-fnepw sabvam-k-Øn¬Xs∂ {]tXyI ]T-\Iym-ºp-Iƒ kwL-Sn-∏n-°-Ww. Ip´n-Iƒ {]bmkw A\p-`-hn-°p∂ Cw•o-jv, kmaqln-I-imkv{Xw, KWn-Xw, Du¿÷-X-{¥w, ck-X{¥w F∂o A©v hnj-b-ß-fpsS {]tXyI ]T\ samUyq-fp-I-fmWv CXn-ep-≈-Xv. Ip´n-Isf BI¿jn-°p∂ ]T-\m¥-co-£-sam-cp-°n, Ah-cpsS kzX{¥ CS-s]-S-en\p Ah-k-c-sam-cp°n F√m kv°qfp-Ifpw Cu kZyp-Zy-a-Øn¬ kl-I-cn-°-Ww. AXn-\mbn ]T-\-]n-∂m-°mhÿ A\p-`-hn°p∂ Ip´n-Isf Is≠Øn. 40 aWn-°q-dn¬ Ipd-bmØ kabw D]-tbm-Kn®v ]n∂m-°-°mcmb Ip´n-Iƒ°pth≠ {]tXyI ]T-\-Iym-ºp-Iƒ sabv amkw 31\p≈n¬ Xs∂ ]q¿Øn-bm-°m≥ {][m\ A≤ym-]-I≥ {i≤n-t°-≠Xm-Wv. AXn\mbn hnj-bm-Sn-ÿm-\-Øn¬ {]tXyIw samUyq-fp-Iƒ Fkv.-B¿.Pn.-bpsS t\Xr-Xz-Øn¬ cq]-s∏-Sp-tØ-≠-Xm-Wv. AXn\v klm-b-I-c-amWv CXnt\m-sSm∏w sImSpØ hnj-bm-Sn-ÿm-\-Øn-ep≈ {]h¿Ø\ \n¿t±-i-߃.

1

at\m-lc KWnXw Nn¥m-ckw thdn´ Nn¥-I-fmWv KWn-X-tØmSv Xmev]cyw hf¿Øp-∂Xv F∂v Xncn-®-dn-b¬ A[ym-]n-I-bpsS kulr-Z-kw-`m-j-W-Øn-eqsS N¿® Bcw-`n-°p-∂p. sN€v Ifn Adn-bptam? temI sN€v Nmºy-\m-cmWv? sN€v Ifn-bpsS \nb-a-߃ Fs¥√mw? (c-≠p-t]¿ tN¿∂ Ifn tXm‰m¬ tXm‰-h¿ ]pd-Øv) F¶n¬ Xmsg ]d-bp∂ {]iv\w \n߃°v ]cn-l-cn-°mtam? 128 a’cm¿∞n-Iƒ ]s¶-Sp-°p∂ temI sN€v Sq¿W-sa‚n¬ hnP-bnsb sXc-s™-Sp-°p-tºm-tg°pw F{X a’cw \S-∂n-cn°pw? l

Ip´n-Iƒ°v kzX-{¥-amb A`n-{]mb {]IS-\-߃°v Ah-kcw \¬Ip-∂p.

l

Ah-cpsS DØ-c-߃ hni-I-e-\-hn-t[-b-am-°p-∂p.

l

DØ-c-ß-fnse sshhn-[y-߃ Bkz-Zn-°p-∂p.

N¿®m-kq-NIw coXn ˛ 1 : 64 + 32 + 16 + 8 + 4 + 2 + 1

= 127

coXn ˛ 2 : 128 - 1

= 127

(CXp-hsc tXm¬°m-ØXv Hcmƒ _m°n 127 t]cpw tXm‰p. 127 t]¿°v tXm‰p ]pdØpt]mIm≥ 127 Ifn thWw.) AXm-bXv 1 + 2 + 4 + 8 + 16 + 32 + 64 = 128 - 1 t{ImUo-I-cWw ChnsS Hcp t{iWn-bnse kwJy-If - psS XpI AXnse kwJy-I-fp-ambn {]tXyI hn[-Øn¬ _‘-s∏-´n-cn°p-∂p. Cu khn-tij _‘w Is≠-Øp-∂Xv ckI-c-amWv. {Inb-sN-øm≥ klm-b-I-c-hpw.

2

Pme-hnZy t{iWn-bnse Hcp ]Zw, t{iWn-bnse ]Z-ß-fpsS XpI-bp-ambn _‘-s∏-´n-cn-°p-∂-sX-ßs\ F∂v Xncn-®-dn-bp-∂-Xn-\v. So®¿ Hc-h-Im-i-hm-Z-hp-ambn ¢m€v Bcw-`n-°p-∂p. \nß-fpsS a\-€nse kwJy Rm≥ ]d-bpw. Ip´n-I-fpsS kwi-b-߃°v adp-]Sn ]d™v So®¿ \n¿t±iw sImSp-°p-∂p. CjvS-ap≈ 2 kwJy-Iƒ hnNm-cn-°p-I. (10¬ Ipd-hmb sNdnb kwJy-Iƒ Bbm¬ {Inb-sN-øm≥ Ffp-∏-am-bncn°pw) Ch ]c-kv]cw Iq´n 3-˛masØ kwJy I≠p-]n-Sn-°p-I. 2Dw 3Dw Iq´n 4masØ, 3-Dw 4-Dw Iq´n 5-masØ ....... C{]Imcw 10 kwJy-Iƒ Is≠Øn FgpXp-I. (D-Zm... 2, 3, 5, 8, 13, 21, 34, 55, 89, 144) F√m-h¿°pw t{iWn ]q¿Øn-bm-°m≥ Ah-kcw \¬Ip-∂p. XpS¿∂v Cu ]Øv kwJy-If - psS XpI I≠p-]n-Sn®v cl-ky-am°n shbv°m≥ Bh-iy-s∏-Sp∂p. XpS¿∂v Ip´n-Iƒ cl-ky-ambn FgpXn kq£n® XpI So®¿ ]d-bp-∂p. AsX-ßs\ km[y-ambn F∂v N¿® \S-Øp-∂p. Chn-SpsØ KWn-X-_‘w Is≠-Øp-∂p.

N¿®m kqNIw t{iWn icntbm F∂v ]cn-tim-[n-°p-∂-Xn-\n-S-bn¬ 7-masØ kwJy Is≠Øp-∂p. CXns‚ 11 aS-ßmWv \ΩpsS DØ-c-amb kwJy-I-fpsS XpI. P\-d¬ ^n_n-t\m®n t{iWn-bn¬ 10 ]Z-ßf - psS XpI F∂Xv 7-mw]Z-Øns‚ 11 aS-ßm-Wv. t{ImUo-I-cWw t{iWn-I-fnse kwJy-I-fpsS XpIbv°v t{iWn-bnse ]Z-ß-fp-am-bp≈ khn-tij _‘w Is≠-Øp-∂Xv {]iv\-]-cn-l-c-W-Øn\v klm-b-I-c-am-Wv.

3

t{iWo {]h¿Ø\w kam-¥c - t- {i-Wn-bnse ]Z-ßf - psS XpI AXnse a[y-]Z- h - p-ambn _‘s∏-´n-cn-°p-∂-sX-ßs\ F∂p Is≠-Øp-∂-Xn-\v.

¢m€ns\ 5, 7, 9 AwK-ß-fp≈ (H‰ kwJy-Iƒ) hnhn[ {Kq∏pI-fm-°p-∂p. {Kq∏p-I-fn¬ AtX FÆw kwJy-I-fp≈ kwJym Im¿Uv ]m°-‰p-Iƒ \¬Ip-∂p. Hmtcm ]m°-‰n-tebpw kwJy-Iƒ kam-¥-c-t{i-Wn-bn-em-Im≥ {i≤n-°-Ww. t{iWn-bpsS a[y-]Zw ]Øns‚ KpWn-Xa - m-bm¬ \∂v. Hmtcm {Kq∏n-t\mSpw Ah-cpsS kwJyI-fpsS XpI Is≠-Øm≥ Bh-iy-s∏-Sp-∂p. XpS¿∂v AXmXv {Kq∏ns‚ kwJy-Isf t{iWn-bmbn {Iao-Icn-°m≥ Bh-iy-s∏-Sp-∂p. t{iWn-Ifpw Ah-bpsS XpI-Ifpw s]mXphmbn ]´n-I-s∏-SpØn {]Z¿in-∏n-°p-∂p. t{iWn-bnse GsX-¶nepw Hcp ]Zw t{iWn-bpsS XpI-bp-ambn _‘-s∏-´n-´pt≠m? Ds≠-¶n-¬ ]Z-taXv? _‘w F¥mWv ? s]mXp-N¿® t{ImUo-I-cWw t{ImUo-I-cWw kam-¥c - t- {i-Wn-bnse a[y-]Z- sØ ]Z-ßf - psS FÆwsIm≠p KpWn-®m¬ t{iWn-bnse ]Z-ß-fpsS XpI F{X-bm-sW∂v e`n-°pw.

4

KWn-X-em_v (I-W°v sNbvXv ]Tn-°mw)

{]h¿Ø\w ˛ 1 hen∏ hyXymkw hcmsX {XntIm-WsØ NXp-c-am-°mtam? {Kq∏p-I-fn¬ IS-em€v {XntIm-W-ßfpw I{Xn-I-Ifpw \¬Ip-∂p. Task Gs‰Sp-°m≥ Bh-iy-s∏-Sp-∂p. A[ym-]nI {Kq∏p-I-fn¬ CS-s]-Sp-∂p. am¿§-\n¿t±-i-߃ \¬Ip-∂p. Task ]q¿Øn-bm-°p-∂p.

kqN\ ½ ˛¬sh®v ]mZ-Øn\p kam-¥c - a - mbn apdn-°p-∂p. e`n® 2 {XntIm-W-߃ arrange sNbvXv NXp-cam-°p-∂p.

{]h¿Ø\w ˛ 2 c≠p ka-N-Xp-c-ßsf A\p-tbm-Py-ambn apdn®v IjvW-ß-fm°n tN¿Øpsh®v as‰mcp ka-N-Xpcw D≠m-°p-I. Nm¿´v t]∏¿ \¬Ip-I.- Ah apdn®v 2 ka-N-Xp-c-߃ D≠m-°p-I. [ss]-X-tKm-dn-b≥ cq]-߃°v G‰hpw klm-b-I-c-amb kwJym-tPm-Sn-Iƒ hi-ß-fmbn D]-tbm-Kn-°p-I F∂ \n¿t±iw \¬I-Ww. DZm : (3, 4), (6, 8), (5, 12) (9, 12) ..... ] Chsb A\p-tbm-Py-ambn apdn®v B Ij-W-߃ tN¿Øp-sh®v henb ka-N-Xpcw D≠m-°-Ww. henb ka-N-Xp-c-Øns‚ hiw F¥v? (Ggmw ¢m€nse ]mT-]p-kvX-I-Øn¬ Cu {]h¿Ø\w D≠v. Bh-iy-sa¶n¬ d^¿ sNøp-I.) Cu 3 ka-N-Xp-c-ß-fp-sSbpw ]c-∏-f-hp-I-fpsS _‘w F¥v? (sN-dn-b-h-bpsS ]c-∏-f-hp-I-fpsS XpI-bmWv henbXns‚ ]c-∏-f-hv) Nm¿´n¬ ]´n-I-s∏-Sp-Øp-I. =

25

32 + 42

= 52

36 + 64 =

100

62 + 82

= 102

25 + 144 =

169

52 + 122

= 132

9 + 16

5

C{]-Imcw c≠p- h¿§ kwJy-I-fpsS XpI 3˛masXmcp h¿§-kw-Jy-bmIp∂ kwJym {Xb-߃ Is≠-Øp-I. ss]X- t Km- d n- b ≥ kwJym- { X- b - ß ƒ Is≠- Ø p∂ hnhn[ coXn- I ƒ Is≠Øp∂p.

DZm: A (3, 4, 5)

=

3

4

5

2 x (3, 4, 5)

=

6

8

10

3 x (3, 4, 5)

=

9

12

15

4 x (3, 4, 5)

=

12

16

20

B 1, 2

à

12 = 1, 22 = 4

12 + 22

=

5

22 − 22

=

3

2 x (2 x 1)

=

4

à

3, 4, 5

2, 3

à

22 = 4, 32 = 9

32 + 22

=

4 + 4 = 13

32 − 22

=

9 −4=5

2x3x2

=

2 x 6 = 12

à

5, 12, 13

ASn-ÿm-\-ambn hcp∂ GXm\pw ss]X-tKm-dn-b≥ kwJym- { X- b - ß ƒ Ip´n°v ]cn- N - b - s ∏- S p- Ø - W w. Ffp∏w FSpØv D]-tbm-Kn-°m-\m-I-Ww.

6

{]h¿Ø\w ˛ 3 (hrØw hc-bv°mw) hrØw hc-°m-\-dn-bptam? Fß-s\-sb-√m-amWv \n߃ hrØw hc-bv°pI ]Xn-hv. (hn-hn[ coXn-Iƒ N¿®-bn¬ D∂-bn-°-s∏-Sp-∂p) l {XntImWwsIm≠v hrØw hc-bv°mtam? l CXn\p GXp-Xcw {XntImWw D]-tbm-Kn°mw? (a-´-{Xn-tIm-W-߃) l F∂m¬ \n߃ D]-tbm-Kn-°p∂ a´-{Xn-tIm-W-߃°v a‰p h√ {]tXy-IX-Ifpw Dt≠m? (I¿Æw Xpey-am-bn-cn°Ww) {Kq∏pIfn¬ Nm¿´v t]∏¿ hnX-c-Ww-sN-øp-∂p. I¿Æ-߃ Xpey-am-bXpw a‰p tImWp-Iƒ hyXykvXamb-Xp-amb a´-{Xn-tIm-W-߃ sh´n-sb-Sp-°-s´... (I-gn-bp-∂{X FÆw) Ch I¿Æ-߃ ]c-kv]cw tN¿Øp-sh®v {Ia-Øn¬ ASp-°n-sh-bv°p-I. {XntImWßfpsS a´-tIm-Wp-I-fpsS io¿j-߃ AS-bm-f-s∏-Sp-Øp-I. Ct∏mƒ cq]o-I-cn-°m-hp∂ cq]w GXv? {XntIm-W-ß-fpsS I¿Æw hrØ-Øns‚ GXfhmWv? (hym-kw) l

{]h¿Ø\w ˛ 4 (hr-Øhpw {XntIm-W-hpw)

l

hrØ-hpw, Bc-߃ kao-]-h-i-ß-fmb ka-]m¿iz-{Xn-tIm-Whpw Dƒs°m≈p∂ Nn{Xw hnhn[ {Kq∏p-I-fn¬ hnX-c-Ww-sN-øp-∂p. RmWmb hisØ Xmg-tØbv°v am‰p-tºmƒ {XntImWØn\p≠mIp∂ am‰-߃ \nco-£n-°m≥ Bh-iy-s∏-Sp-∂p. Xmsg ImWpw-hn[w AtX hrØ-Øn-\p-≈n¬ hnhn[ {XntIm-W-߃ hc®v \nco-£n-°p-∂p. ]mZ-tIm-Wp-Iƒ°v {Iam-\p-K-X-amb F¥v am‰amWv kw`-hn-°p-∂Xv? l

tI{µØnep≈ tImWnt\m? Ah-km\w {XntImWw tcJ-bm-Ip-tºmƒ ]mZhiw F¥m-Ip∂p? tImWp-Itfm? CØcw tcJI-fpsS t]sc¥v? 7

a\-I-W°v Ip´nI-fpsS KWn-X-Nn-¥sb {Iam-\p-K-X-ambn a\-€n-em-°m\pw t{]m’mln-∏n-°m\pw D≈ {]h¿Ø-\-amWv CXv. CXn\v 4 Xe-ap-≠v. 6 t]cpsS {Kq∏p-Ifn-emWv {]h¿Ø\w \S-t°-≠-Xv.

tÃPv ˛ 1 Xmsg ]d-bp∂ {Inb-Iƒ a\-I-W-°mbn sNø-Ww. (a) 23 + 48

(b) 82 - 37

(c) 15 x 7

(d) 96 ÷ 4

Hmtcm-cp-Øcpw sNbvX hyXyÿ hgn-Iƒ ]¶p-sh-bv°p-I.

tÃPv ˛ 2 Chn-sSbpw a\-IW - ° - p-Xs∂ AXym-hi - y-L´- ß - f - n¬ t]\bpw t]∏dpw D]tbm-Kn®v {Inb-sN-ømw. (a) 267 + 584

(b) 645 - 178

(c) 23 x 57

(d) 624 ÷ 12

tÃPv ˛ 3 Chn-sS t]∏¿, t]\ D]-tbm-K-Øn\p bmsXmcp \nb-{¥-W-hp-an-√. (a)

247 + 345 + 692 + 701

(b)

1000 - 2637

(c)

16 x 18 x 20

(d) 325 ÷ 17

tÃPv ˛ 4 Hmtcm {Kq∏n\pw Nm¿´v t]∏-dn¬ at\m-lc - a - mbn FgpXn Xøm-dm-°nb Hmtcm KWn-X-{]iv\w \¬Ip-I. AXmXv {Kq∏p-Iƒ Ah-cpsS Nn¥-Iƒ°-\p-k-cn®v ]cnlmc Is≠-Ø-s´. Is≠-ج coXnbpw DØ-chpw s]mXp N¿®bv°v hnt[-b-am°-s´. (G-Xm\pw KWnX {]iv\-߃ A\p-_-‘-ambn ]kn¬ tIm¿W-dn¬ sImSpØn-´p-≠v) t{ImUo-I-cWw KWn-X-Nn-¥bv°v _oP-K-WnXw Fßs\ lmb-I-amIp∂p F∂-Xns‚ A\p-`-h-߃ Ip´n-Iƒ°v In´-Ww.

8

PUZZLE CORNER

(A-\p-_-‘w)

1.

3 t]\bpw 2 s]≥kn-en\pw IqSn 24 cq]bmWv hne. 4 t]\bv°pw 2 s]≥kn-en\pw IqSn 30 cq]bpw. Hcp t]\-bpsS hne-sb{X?

2.

4 Itk-cbv°pw 1 taibv°pw IqSn 2750 cq]-bm-Wv. 6 Itk-cbv°pw 1 taibv°pw IqSn 3750 cq]-bm-Ipw. 1 Itk-c-bpsS hne-sb¥v?

3.

Ipd®p ]£n-Iƒ Hcp Ipf-Øn-seØn Ipf-Øn¬ Xma-c-bn-e-Iƒ s]mßn°n-S-°p-∂p-≠v. ]£n-Iƒ Hmtcm Ce-bn-embn Ccp∂t∏mƒ Hcp ]£nbv°v Ccn-°m≥ Ce-bn-√. c≠p ]£n-Iƒ hoXw Hmtcm Ce-bn-embn Ccp∂t∏mƒ Hcp Ce A[nIw h∂p. F{X ]£n-Iƒ D≠m-bn-cp∂p? F{X Ce-Iƒ D≠mbn-cp∂p?

4.

Hcp ]m¿´n-bn¬ 10 t]¿ ]s¶-Sp-Øp. ]m¿´n-bpsS XpS-°-Øn¬ Hmtcm-cpØcpw ]c-kv]cw lkvX-Zm\w sNbvXp. BsI F{X lkvX-Zm-\-߃ D≠mbn?

5.

Hcp N¥-bn¬ I®-h-S-Øn-s\-Ønb Iptd Bfp-Ifpw Ah¿ sIm≠p-h∂ Iptd BSp-Ifpw D≠v. BsI 70 Xebpw 240 Imep-Ifpw D≠v. F¶n¬ a\p-jy-sc{X? BSp-I-sf{X?

6.

Hcmƒ N° hn¬°p-I-bm-Wv. BZyw h∂-bmƒ BsI-bp≈ N°-I-fpsS FÆ-Øns‚ ]IpXn N°bpw Hcp N°-bpsS ]Ip-Xnbpw sIm≠p-t]m-bn. c≠m-aXp h∂-bmƒ _m°n-bp≈ N°-bpsS ]Ip-Xnbpw Hcp N°-bpsS ]Ip-Xnbpw sIm≠p-t]m-bn. aq∂m-asØbmfpw CXp-t]mse sNbvX-t∏mƒ apgp-h≥ N°bpw hn‰p-Xo¿∂p. Hcp N°bpw apdn-t°-≠n-h-∂-Xp-an-√. F∂m¬ BsI Cu IW-°n¬ F{X N°-bp-≠m-bn-cp∂p? Cu IW-°n¬ 4 t]¿ N° hmßn-b-t∏m-gmWv apgp-h≥ Xo¿∂-sX-¶ntem? 5 t]¿ Bbmtem?

7.

Hcp cmPmhv 10 \m´p-cm-Py-ßf - n¬\n∂pambn 100 kz¿W-\m-Wb I∏w hoXw kzoI-cn-®n-cp-∂p. I∏w ]ncn-°p-∂-Xn-\mbn 10 tk\m-\m-b-I-∑m-tcbpw NpaX-e-s∏-Sp-Øn-bn-cp-∂p. Hcp tk\m-\m-b-I≥ ]ncn-s®-Sp-°p∂ kz¿W-\m-b-Wß-fn¬\n∂pw Hmtcm {Kmw kz¿Ww hoXw Dc-s®-Sp-°p-∂p-s≠∂v cmPmhn\p a\-€n-em-bn. FÆ-Øn¬ hyXym-ka - n-√m-ØX - n-\m¬ Xq°n-t\m-°n-bm¬ am{Xta BcmWv NXn-sN-øp-∂Xv F∂v a\-€n-em-°m≥ Ign-bq. {Xmkv Hcn°¬am{Xw D]-tbm-Kn®v 10 tk\m-\m-b-I≥amcpw sIm≠p-h∂ k©n-Ifn¬ GXn-emWv bYm¿∞ Xq°-an-√mØ \mW-b-߃ F∂p I≠p-]n-Sn°m≥ cmPmhv a{¥n-tbmSv Iev]n-®p. \n߃°v a{¥nsb klm-bn-°mtam? Hcp {]tZ-iØv aq∂v Aº-e-ßfpw AXn-t\mSv tN¿∂v Hmtcm Ipf-ß-fpap≠v. Cu Ipf-߃s°√mw Hcp {]tXy-I-X-bp-≠v. Cu Ipf-Øn¬ ssIbnep≈ ]q°-fp-ambn apßn-bm¬ ]q°-fpsS FÆw Cc-´n-bm-Ipw. Hcmƒ Ipd®p ]pjv]-ß-fp-ambn H∂m-asØ Aº-e-°p-f-Øn¬ apßn Cc-´n® ]pjv]-ß-

9

fp-ambn Aº-e-Øn¬ sN√p-∂p. Hcp \n›nX FÆw ]q°ƒ Aº-e-Øn¬ A¿∏n-°p-∂p. _m°n-bp≈ ]q°-fp-ambn c≠m-asØ Ipf-Øn¬ apßn. Cc-´n® ]q°-fp-ambn Ahn-SpsØ Aº-e-Øn¬ sN√p-Ibpw Ahn-sSbpw BZysØ Aº-eØ - n¬ sImSpØ A{X-Xs∂ ]pjv]ß - ƒ A¿∏n-°p-Ibpw sNøp-∂p. CXv aq∂m-asØ Aº-e-Ønepw sNbvXp-I-gn-bp-tºmƒ ssIbn¬ ]q°-sfm∂pw _m°n-bn-√. F¶n¬ BsI F{X ]q°ƒ sIm≠p-t]mbn? Hmtcm Aº-e-Ønepw F{X ]q°ƒ hoX-amWv A¿∏n-®Xv?

{]h¿Ø\w Ip´n-Isf 2, 3, 4, 5, 6 F∂o AwK-ß-fpsS FÆw D≈ 5 {Kq∏p-I-fm°p∂p. {Kq∏p-Isf FÆ-Øns‚ Btcm-l-W-{I-a-Øn¬ \n¿Øp-I. Cu FÆw {Ia-Øn¬ t\m´p-]p-kvX-I-Øn¬ Fgp-Xs´. hni-I-e\ {]h¿Ø\-߃ / tNmZy-߃. ˛

AwK-ß-fpsS FÆw F{X-hoXw h¿≤n-°p∂p?

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BsI F{X {Kq∏p-Iƒ?

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F√m {Kq∏p-I-fnepw IqSn BsI F{X AwK-߃?

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{Kq∏nse icm-icn FÆw F{X?

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icm-icn FÆw kqNn-∏n-°p∂ {Kq∏v GXv?

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Cu FÆhpw XpIbpw XΩn-ep≈ _‘-sa¥v?

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XpI-bp-ambn _‘-s∏´ a‰v kwJym tPmUn-I-tfh?

kl-]-T\ kwL-߃°v Cu tNmZy-߃ \¬Ip-I. {Kq∏ns‚ Is≠-Ø-epIƒ Ah-X-cn-∏n-°-s´.

XpS¿{]-h¿Ø\w CtX 5 {Kq∏nse Ip´n-Isf AwK-ß-fpsS FÆw 2 h¿≤n-®p-h-cp∂ coXn-bn¬ {Iao-I-cn-°p-I. CXn¬ F{X {Kq∏p-I-fp-≠v? CsXmcp kam-¥c t{iWn-bm°n Fgp-Xp-I. XpI F{X? XpI-bp-ambn _‘-s∏´ kwJym-tPm-Un-I-tfh?

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XpS-c-t\z-jWw 8, 15, 22, 29 F∂ kam-¥-c-t{i-Wn-bpsS 5˛mw ]mZhpw 6-mw]mZhpw F√mw a\-€n¬ IW-°m-°m≥ Ipam-c\p Hcp {]iv\hpw tXm∂n-bn-√. F∂m¬ jmPp 101masØ ]Zw (kw-Jy) ]d-bmtam F∂p sh√p-hn-fn®t∏mƒ Ipam-c\p sNdnsbmcp sR´-ep-≠m-bn. CXp-tI´ iymaf Ipam-c-t\mSv ]d-™p. jmPp-hns‚ PmU Is≠m∂pw t]Sn-°≠ - m-s´m. Rm≥ Nne ¢qkv X∂m¬ \n\-s°-fp-∏Ø - n¬ ImWm≥ Ignbpw”. Ipam-c\v BImw-£-bm-bn. Ah≥ ‘¢q€n-\m’bn ImtXm¿Øp. iymaf tNmZn®p. Hmtcm Xh-Wbpw F{Xbm IqSp-∂Xv? H∂m-asØ kwJy-bn¬\n∂pw 101˛masØ kwJy-bn¬ FØp-tºmƒ F{X Xh-W-bmWv IqSp-∂Xv? At∏mƒ BsI F{X IqSn? Ct∏mƒ 101˛masØ kwJy GXmhpw? Cu {]h¿Ø\w Hcp role play F∂ coXn-bn¬ Ip´n-I-fpsS (3 t]¿) ]¶mfn-Ø-tØmsS Ah-X-cn-∏n-°-Ww. ˛ iyma-f-bpsS ‘¢qkv’ ¢m€nse F√m {Kq∏p-Ifpw N¿®-sNbvXv \nKa-\-Øn-se-Ø-s´.

]p\-c-t\z-jWw DØcw In´n-b-t∏mƒ _m_p-hn-s\mcp _p≤n tXm∂n. 101˛masØ ]Zw (kw-Jy) ImWm≥ Hsc-fp-∏-h-gn-bp-≠t√m? _m_p iyma-fsb Nme©v sNbvXp. ‘Rm≥ F{Xm-asØ ]Zw thW-sa-¶nepw ]dbmw. kt¥mjv BZ-c-thmsS _m_p-hn-t\mSv tNmZn-®p. ‘F\n°m kq{X-sam∂p ]d-™p-X-cmtam?” “]d-™p-X-cn√ ˛ Is≠-Øm-\p≈ hgn am{Xw ]dbmw” Aev]w Ka-tbmsS _m_p ]d-™p. “Hmtcm XhWbpw CXn-t\mSv Iq´n-bm¬ 101˛mw ]Zw e`n-°p-at√m” “At∏mƒ 101˛mw ]ZsØ Fßs\ FgpXmw? kt¥m-jn\p _m_p-hns‚ `mj apgp-h\pw Zln-®n-√. s]s´∂v koa ]d™p. “101˛mw]Zw = BZy-]Zw + 100 x “200˛mw Fßs\ FgpXmw?” ˛ _m_p-hn\v Bth-i-am-bn.

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CØ-hW kt¥m-jmWv DØcw ]d-™-Xv. 200˛mw ]Zw = BZy-]Zw + 199x (C-{Xbpw `mKw Ip´n-Isf t\csØ Xøm-dm°n ¢m€n¬ Ah-X-cn-∏n-°mw) BZy-]Zw ‘a’bpw s]mXp-hy-Xymkw ‘d’bpw Bb Hcp kam-¥c t{iWnbpsS 10˛mw]Zw Fßs\ FgpXmw? Cu tNmZyw So®¿ s]mXp-hmbn t_m¿Un¬ FgpXn tNmZn-°p-Ibpw F√m Ip´n-Ifpw kz¥-ambn Fgp-Xp-Ibpw sNø-s´. 10˛mw ]Zw = a + 9d XpS¿∂v 25˛mw]Zw, 34˛mw]Zw, 51˛mw]Zw F∂n-ßs\ 10 FÆ-sa-¶nepw Fgp-X-Ww.

{]h¿Ø\w _nµp Fgp-Xnb Hcp t{iWn C{]-Im-c-am-bn-cp-∂p. 18, 26, 10, 34, 30, 14, 22 t{iWn I≠ kn‘p ]d-™p. ‘CsXmcp kam-¥c t{iWn-b√” F∂m¬ CXns\ Hcp kam-¥-c-t{i-Wn-bm°n am‰m-sa∂v _m_p hmZn-®p. Fßs\ am‰mw F∂ ao\-bpsS kwi-b-Øn\v _m_p adp-tNm-Zy-ß-fp-b¿Øn. Ggp-]-Z-ß-fpsS XpI-sb{X? 7 ]Z-ß-fpsS icm-icn F{X? G‰hpw sNdnb ]Zw GXv? G‰hpw henb ]Zw GXv? Ggp ]Z-ß-fn¬ a[y-Ønse ]Zw GXv? C\n Btcm-lW {Ia-Øn¬ Fgp-Xmtam? Ah-tcm-l-W-{I-a-Øn¬ Fgp-Xn-bmtem? Ip´n-Isf t\csØ Xøm-dm°n ¢mkn¬ Ahscs°m≠p-Xs∂ tNmZy-߃ Ah-X-cn-∏n-°-Ww. Cu tNmZy-ß-fp-ambn _‘-s∏´ {]h¿Ø-\-߃ {Kq∏p-Iƒ°p \¬Ip-I.

{]h¿Ø\w dm^n Fgp-Xnb kam-¥c t{iWn I≠-t∏mƒ do\ ]d™p “CXns‚ Ah-km-\sØ ]Zw Cu Iq´-Øn¬ s]´-X-√-t√m...” dm^n-bpsS t{iWn C{]-Im-c-am-bn-cp-∂p. 12

121, 130, 139, 148.... 216 do\ CXv Fßs\ Is≠-Øn-sb∂v kpte-Jbv°p kwi-b-am-bn. CXn\p≈ Nne ‘Sn]vkv’ do\ kpte-Jbv°v \¬In. “216¬\n∂pw BZy-]Zw Ipd-bv°pI” “Ipd-®p-In-´nb kwJysb s]mXp-hy-XymkwsIm≠v lcn-°p-I.” “lc-W-^ew ]q¿Æ-kw-Jy-bm-bm¬ 216 CXnse ]Z-am-Wv.” “]q¿Æ kwJy-b-s√-¶n¬ CXnse ]Z-a√” do\ ]d™ ‘Sn]vknse’ KWnX Kp´≥kp-Iƒ Ako-an\p Is≠-Øm≥ Ign-™p. F¥m-bn-cn°pw Ako-ans‚ \nK-a-\-߃? ¢mknse F√m {Kq∏p-Iƒ°pw Cu {]h¿Ø\w \¬Ip-I. {Kq∏-pIƒ Is≠Ønb Imcy-߃ Ah-X-cn-∏n-°-s´.

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