10 iSVuZ
Vhuw us bl CykWd dh enn ls ,d lkM+h cukbZ gSA
fiQj mlus ;g pknj Hkh blh CykWd ls cukbZA
107
Rationalised 2023-24
mlus bl CykWd dh enn ls ;g nqi^k Hkh cuk;kA
D;k Rkqeus ns[kk fd Vhuw us ,d gh CykWd osQ iz;ksx ls vyx&vyx iSVuZ oSQls cuk,\
vc rqe Hkh bl CykWd dh enn ls 3 vyx&vyx iSVuZ cukvksA
iSVuZ 1
iSVuZ 2
iSVuZ 3
108
Rationalised 2023-24
;kfeuh us vius CykWdksa ls vyx&vyx iSVuZ cuk,A D;k rqe bu iSVuks± dks vkxs c<+kus
esa mldh enn dj ldrs gks\
ge la[;kvksa vkSj v{kjksa ls Hkh iSVuZ cuk ldrs gSaA uhps oqQN mnkgj.k fn, x, gSa]
mudks ns[kks vkSj vkxs c<+kvksA
ABC DEF GHI
28Z 27Y 26X
864 664
764
9 109 209
la[;kvksa dk iz;ksx djrs gq, vius iSVuZ [kqn cukvksA
109
Rationalised 2023-24
vc fcuk la[;kvksa oQk iSVuZ cukvksA
dksbZ la[;k nqckjk u vk,
fn, x, la[;k&pkVZ dks ns[kksA D;k rqEgsa dksbZ iSVuZ u”kj vk;k\
fdlh Hkh ykbu esa dksbZ Hkh
1 2 3 vad nksgjk;k ugha x;k gSA
3 1 2
2 3 1
blh rjg rqe Hkh A, B, C dks uhps fn, x, ckWDl esa fy[kksA dksbZ Hkh v{kj nksgjk;k
u tk,A
;gk¡ ij ¶iafDr¸ vkSj ¶LrEHk¸ 'kCnksa dk iz;ksx ugha fd;k x;k gSA ij ¶ykbu¸ 'kCn dk bLrseky djrs gq, vè;kid
¶iafDr¸ vkSj ¶LrEHk¸ dh /kj.kk ij cPpksa osQ lkFk ppkZ dj ldrs gSaA
110
Rationalised 2023-24
tknqbZ iSVuZ
2 3 7
1 ls 7 rd dh la[;kvksa osQ bl iSVuZ dks
ns[kksA gj ,d ykbu esa la[;kvksa dk tksM+
4 12 gSA
1 5 6
vc rqe 1 ls 9 rd dh la[;kvksa dks
bu rkjksa esa HkjksA fu;e ;g gS fd gj
ykbu esa la[;kvksa dk tksM+ 15 vk,A
tknqbZ frdksu
3 uhps fy[ks vadksa osQ iSVuZ dks ns[kksA
fu;e µ frdksu dh gjsd ykbu dh
la[;kvksa dk tksM+ 9 gSA
4 5
3 + 4 + 2 = 9
2 6 1 vc ;g Hkh ns[kks fd frdksu dh ckdh nks
ykbuksa dk tksM+ Hkh 9 gksrk gS ;k ughaA
111
Rationalised 2023-24
1 ls 6 rd dh la[;kvksa dk iz;ksx djrs gq,
viuk tknqbZ frdksu cukvksA fu;eµgj ,d
ykbu dh la[;kvksa dk tksM+ 10 vkuk pkfg,A
la[;kvksa dh ehukj
la[;kvksa dks ehukj dh rjg yxk;k tk ldrk gSA bl la[;k iSVuZ dks le>us osQ fy,
uhps ls 'kq: djksA
80
30 50 D;k rqEgsa ;gk¡ dksbZ fu;e fn[kkbZ ns jgk gS\
10 20 30
fu;e µ uhps dh nks la[;kvksa dks tksM+ dj mQij dh la[;k curh gSA
80
80
30 50
30 50 30 + 50 = 80
10 20 30
10 20 30
20 + 30 = 50
112
Rationalised 2023-24
blh fu;e dks ekurs gq,] uhps fn, la[;k ehukjksa dks iwjk djksA
25
5 10 15 20
1 2 3 4 5
cjkcj tksM+ dk fu;e
oqQN nksLr la[;k dkMks± osQ lkFk [ksy jgs gSaA ns[kks os la[;kvksa dks oSQls tksM+ jgs gSaA
ck,¡ ls nk,¡ ls
igyk igyk
D;k rqe og fu;e <w¡<+ ldrs gks ftlls gj ckj la[;kvksa
11 + 16 = 27 dk tksM+ cjkcj vk jgk gSA
12 + 15 = 27
fu;e µ la[;kvksa dk tksM+ cjkcj vk,xk vxj ge bu
la[;kvksa dks tksM+saµ
13 + 14 = 27
ck,¡ ls igyh vkSj nk,¡ ls igyh
ck,¡ ls nwljh vkSj nk,¡ ls nwljh
ck,¡ ls rhljh vkSj nk,¡ ls rhljh
vc rqe dksbZ Hkh la[;k fy[kks vkSj fiQj mlls vxyh
rhu la[;k,¡ fy[kksA blh fu;e dks ekurs gq, ,d
+ =
iSVuZ cukvksA
+ =
113
Rationalised 2023-24
tksM+ osQ iSVuZ
1 + 2 + 3 = 6
2 + 3 + 4 = 9
3 + 4 + 5 = 12 vksg! gj tksM+
fiNys tksM+ ls rhu
”;knk gSA
1 + 2 + 3 + 4 = 10
2 + 3 + 4 + 5 = 14
;gk¡ gj tksM+ fiNys 3 + 4 + 5 + 6 = 18
tksM+ ls 4 ”;knk gSA
vc rqe 5 la[;kvksa osQ lkFk iSVuZ cukus dh dksf'k'k djksA
+ + + + =
+ + + + =
+ + + + =
+ + + + =
+ + + + =
D;k gj ckj gj tksM+ fiNys tksM+ ls 5 ”;knk gS\
114
Rationalised 2023-24
xqIr lans'k rqe D;k dj
jgs gks\ esjs nksLr us tks i=k eq>s fn;k gS
mls i<+us dh dksf'k'k dj jgk gw¡---
ij eq>s rks le> ugha vk jgkA
7 15
15 4
14 9
782
0
vPNk] eq>s ns[kus nksA
;g rks dksbZ xqIr
lans'k yx jgk gSA
;kfeuh us fu;e le>k;k µ v{kjksa osQ fy, la[;kvksa dk iz;ksx fd;k x;k gSA tSls&
J=10 gS] P=16 gSA vr% JUMP gks tk,xk 10 21 13 16
❈ bl lwph dks v{kjksa vkSj la[;kvksa dh enn ls iwjh djksA
A B C DE
1 2 3 4 5
❈ Vhuw vius nksLr dks "Good Morning" fy[kdj nsuk pkgrh FkhA
bl fu;e dks ekurs gq, mls D;k fy[kuk gksxk\ _______________________
❈ vxj ge fu;e dks cny nsa vkSj B osQ LFkku ij 1 fy[k nsa] D osQ LFkku ij 3
fy[k nsa vkSj bl rjg fy[krs tk,¡ rks ge "Let Us Dance" oSQls fy[ksaxs\
xqIr lans'kksa dk dksfMax vkSj MhdksfMax djuk iSVuZ igpkuus dk fgLlk gSA xf.krh; fparu osQ fy, fu;e dh igpku
djuk t+:jh gSA
115
Rationalised 2023-24
oqQN vkSj xqIr lans'k
ZFT!
'kCyw vkSj tXxw ,d [ksy [ksy jgs gSaA os oqQN xqIr lans'k fy[k jgs gSaA ij dkgqyh
mudks le> ugha ik jgh gSA blfy, tXxw us fu;e le>k;k µ
tXxw µ ns[kks] geus gj ,d v{kj dks mlosQ vxys v{kj ls cny fn;k gSA blfy,
'F' oQh LFkku ij G] N dh txg ij O fy[k jgs gSaA blfy, ‘Yes'
ZFT cu x;k gSA
dkgqyh µ vksg! vc le> esa vk;kA
dkgqyh µ vc rqe crk ldrs gks fd eSaus D;k fy[kk gS\ XF BSF GSJFOE T
❈ dkgqyh dk xqIr lans'k D;k Fkk\ ________________________
❈ 'kCyw vkSj tXxw us D;k fy[kk Fkk\
_____________________________________________
❈ blh fu;e dks viukrs gq, "Meet me on the moon" fy[kus dh
dksf'k'k djksA
_____________________________________________
❈ rqe vius fu;e cuk ldrs gks vkSj vius nksLrksa ls ;s xqIr lans'k le>us dks dg
ldrs gksA
116
Rationalised 2023-24
mYVk&iqYVk
vuh'kk [ksy jgh gSA og vius nksLrksa dks fn[kk jgh gS fd og vius flj ij [kM+h gks
ldrh gSA
vc vuh'kk bl dkMZ ls [ksy jgh gSA ;g dkMZ mYVk gksdj oSQlk fn[ksxk\ ;gk¡ cukvksA
i+Q'kZ osQ iSVuZ
D;k rqeus dHkh ,slk i+Q'kZ ns[kk gS ftlesa ,slh VkbYl yxh gqbZ gksa\
bu VkbYl dks i+Q'kZ ij oqQN bl rjg yxk;k tkrk gS fd ;s iwjh rjg ls i+Q'kZ ij iQSy
tk,¡ vkSj chp esa [kkyh txg Hkh u cpsA
117
Rationalised 2023-24
(d) vc rqe bl i+Q'kZ dks nh xbZ VkbYl ls HkjksA
([k) D;k rqe ,d o`Ùk osQ vkdkj dh VkbYl ls i+Q'kZ <d ldrs gks\ bl gjh VkbYk
osQ iz;ksx ls iQ'kZ dks fcuk txg NksM+s Hkjus dh dksf'k'k djksA D;k rqe dj
ik,\ vius nksLrksa ls ppkZ djksA
(x) uhps cus Vkby osQ iSVuZ dks iwjk djksA
118
Rationalised 2023-24
(?k) jeS;k us vius CykWd dh enn ls ,d nhokj cukbZ gSA D;k rqe mlosQ fy, bl
nhokj dks iwjk dj ldrs gks\
(M )+ js.kq us bl nhokj ij jax djuk 'kq: fd;k gSA vc rqe mldh bl dke esa
enn djksA
119
Rationalised 2023-24
