gwYm[aV ZdrZ Aä¶mgH«$‘mZwgma B¶Îmm 5 dr Z§Va Odmha ZdmoX¶ {dÚmb¶ VgoM
g¡{ZH$ ñHy$b ‘Yrb B¶Îmm ghmdrgmR>r KoʶmV ¶oUmè¶m àdoenarjoÀ¶m n[anyU©
gamdmgmR>r d g§nyU© ‘mJ©Xe©H$ Agbobm....
Odmha ZdmoX¶ {dÚmb¶
àdoe narjm ‘mJ©Xe©H$
(‘amR>r ‘mܶ‘)
* ^anya CXmhaUo
* gamd àíZn{ÌH$m§gh
* emgH$s¶ Aä¶mgH«$‘mZwgma
* AdKS> àíZm§Mr ñnîQ>rH$aUm§gh CÎmao
* ZdmoX¶ àdoe narjoVrb CXmhaUm§Mm g‘mdoe
* ‘mZ{gH$ j‘Vm narjU * A§H$J{UV * ^mfm narjU
* boIH$ *
gm¡. ‘hmZ§Xm lrH¥$îU Xidr (~r. H$m°‘.)
lr. lrH¥$îU Zm‘Xod Xidr (E‘.E. ~r.ES²>.)
qH$‘V - < 300
‘ZmoJV
Odmha ZdmoX¶ {dÚmb¶m§V B¶Îmm ghmdr‘ܶo àdoe {‘iʶmgmR>r X²¶mì¶m bmJUmè¶m
Odmha ZdmoX¶ {dÚmb¶ àdoenarjoMr A{YH$Mr d n[anyU© V¶margmR>r n[anyU© d AÚmdV
àdoe narjm ‘mJ©Xe©H$ àH$m{eV H$aVmZm Amåhm§bm A˶§V AmZ§X hmoV Amho.
^maV gaH$maZo à˶oH$ {OëhçmV Odmha ZdmoX¶ {dÚmb¶ ñWmnZ Ho$br AmhoV.
¶m‘ܶo B¶Îmm ghmdrgmR>r àdoe Koʶmg CËgwH$ AgUmè¶m gd© {dÚm϶mªZm A˶§V Cn¶wº$
Agm hm àdoe narjm ‘mJ©Xe©H$ AmnUmg Z¸$sM Cn¶wº$ R>aUmam Amho. narjoMm OmñVrV
OmñV gamd, Aä¶mgH«$‘mVrb gd© {df¶ d ˶mVrb gd© KQ>H$m§da AZoH$ àíZm§Mm
g‘mdoe d {dÚm϶mªÀ¶m Anojm bjmV KoD$Z hm ‘mJ©Xe©H$ H$aʶmMm àm‘m{UH$ à¶ËZ
Amåhr Ho$bm Amho. ¶mÀ¶mgmo~V AmnU Amnbo ܶo¶ Z¸$s JmRy> eH$mb Agm Amåhm§bm
{dídmg Amho.
Odmha ZdmoX¶ {dÚmb¶ àdoe narjm ‘mJ©Xe©H$ hm ZdrZ Aä¶mgH«$‘mZwgma V¶ma
H$aʶmV Ambm Amho. ˶mMr ‘m§S>Ur V§VmoV§V A§Vr‘ narjoà‘mUo H$aʶmMm à¶ËZhr Ho$bm
Amho.
¶m ‘mJ©Xe©H$m‘ܶo ~wX²{Y_Îmm narjU {d^mJmV Z_wZm àíZ 100+, Va gmoS>{dÊ`mgmR>r
500+ àíZ {Xbobo AmhoV. J{UV {d^mJmV Z_wZm àíZ 150+, Va gmoS>{dÊ`mgmR>r 730+
àíZ AmhoV. ^mfm narjU {d^mJmV Z_wZm CVmao 2, Va gmoS>{dÊ`mgmR>r 70 CVmao (350
àíZ) {Xbobo AmhoV. à˶oH$ KQ>H$mda gamgar {H$‘mZ nmM ñdmܶm¶ g§M {Xbobo AmhoV.
˶m§Mr CÎmagyMr d ñnîQ>rH$aU {Xbobr AmhoV. {dÚm϶mªZm à˶oH$ ñdmܶm¶g§MmVrb CÎmao
{bhʶmgmR>r à˶oH$ àíZm§g‘moa n¶m©¶mMo Jmob {Xobobo AmhoV. ¶m Cnahr ¶m ‘mJ©Xe©H$mMr
A{YH$ Cn¶wº$Vm dmT>{dʶmgmR>r Amnë¶m gwMZm AgVrb Va ˶mMo ñdmJVM Ho$bo OmB©b
d nwT>rb ‘mJ©Xe©H$mV ˶m§Mm Cn¶moJ H$aʶmMr Amåhr ½dmhr XoVmo.
EH$X§arV AmnUmg gdmªZm Odmha ZdmoX¶ {dÚmb¶ àdoenarjm - ‘mJ©Xe©H$mMm
Z¸$sM Cn¶moJ hmoB©b Agm Amåhm§g {dídmg dmQ>Vmo.
AmnUm gdmªZm AmJm‘r B¶Îmm ghmdrÀ¶m àdoe narjogmR>r hm{X©H$ ew^oÀN>m.
boIH$ d àH$meH$
3
{d^mJ 1 : ‘mZ{gH$ j‘Vm narjU
A.
H«$‘m§H$
KQ>H$
nmZ
H«$‘m§H$
1
JQ>mV Z ~gUmar AmH¥$Vr
7
2
AmH¥$Vr OwidUo / hþ~ohþ~ AmH¥$Vr R>adUo
16
3
Z‘wZm nyU© / AmH¥$Vr nyU© H$aUo
24
4
lw§Ibm nyU© / AmH¥$˶m§Mm H«$‘ nyU© H$aUo
38
5
{díbofU / AmH¥$˶m§‘Yrb g‘mZ g§~§Y emoYUo
53
6
^y{‘Vr¶(AnyU©) AmH¥$Vr nyU© H$aUo.
68
7
Xn©U à{V‘m / AmH¥$VrMo à{Vq~~ emoYUo
76
8
H$mJXr KS>çm CbJS>Uo
85
9
AmH¥$Vr H$ënZm/VwH$S>o OmoSy>Z ~ZUmar AmH¥$Vr emoYUo
92
10
bnbobr àíZAmH¥$Vr emoYUo
105
*
ñdmܶm¶m§Vrb àíZm§Mr CÎmagyMr d ñnîQ>rH$aUo
113
{d^mJ 2 : A§H$J{UV
1
g§»¶m Am{U g§»¶mË‘H$ àUmbr
151
2
nyU© g§»¶m§darb Mma ‘wb^yV {H«$¶m
163
3
AnyUmªH$ Am{U ˶mdarb Mma ‘yb^yV {H«$¶m
170
4
Ad¶d Am{U Jw{UVo (˶m§À¶m JwUY‘mªgh)
178
5
g§»¶m§Mo bgm{d Am{U ‘gm{d
183
4
A.
H«$‘m§H$
KQ>H$
nmZ
H«$‘m§H$
6
Xem§e AnyUmªH$ Am{U ˶mdarb ‘yb^yV {H«$¶m
190
7
Xem§e Am{U ì¶mdhm[aH$ AnyUmªH$mMo EH$‘oH$m§V ê$nm§Va
196
8
{d{dY n[a‘mUo ‘moOʶmgmR>r g§»¶m§Mm Cn¶moJ>
(bm§~r, dñVw‘mZ, YmaH$Vm, H$mb, MbZ, B.)
200
9
A§Va, H$mi Am{U JVr
207
10
춧OH$ A§XmOrH$aU
214
11
g§»¶mË‘H$ A{^춺$s¨Mo gabrH$aU
217
12
Q>¸o$dmar Am{U ˶mMo AZwà¶moJ
228
13
Z’$m - VmoQ>m
235
14
gaiì¶mO
242
15
n[a{‘Vr, joÌ’$i Am{U KZ’$i (AmH$ma‘mZ)
249
*
ñdmܶm¶m§Vrb àíZm§Mr CÎmagyMr d ñnîQ>rH$aUo
257
{d^mJ 3 : ^mfm narjU
1
CVmao
277
*
ñdmܶm¶m§Vrb àíZm§Mr CÎmagyMr
327
{d^mJ 4 : ZdmoX¶ narjm àíZn{ÌH$m
1
gamd àíZn{ÌH$m
328
*
àíZn{ÌH$m§Mr CÎmagyMr d ñnîQ>rH$aUo
344
5
{d^mJ 1 - ‘mZ{gH$ j‘Vm MmMUr
EHy$U JwU : 50
EHy$U àíZ : 40
àmñVm{dH$ :
hr MmMUr AempãXH$ AgVo ¶mMmM AW© ¶m MmMUr‘ܶo Ho$di {MÌ d AmH¥$˶m AgVmV. ^mfoMm H$moU˶mhr
àH$maMm AS>Wim ¶oD Z¶o VgoM ‘wbm§À¶m gwá JwU dm ‘mZ{gH$ j‘Vm§Mo ‘mnZ H$aUo ¶m MmMUr ‘mJrb CÔoe
Amho.
ñdê$n :
1. ¶m narjoV Ho$di AmH¥$VrÀ¶m ñdê$nmVrb 40 àíZ {dMmabo OmVmV d ¶mgmR>r EHy$U 50 JwU AgVmV. EHy$U
10 ‘w»¶ KQ>H$ AgVmV d à˶oH$ KQ>H$m‘ܶo 4 àíZ AgVmV. à{V àíZmg 1.25 JwU AgVmV.
2. à˶oH$ àíZm§‘ܶo S>mì¶m ~mOyg EH$ àíZmH¥$Vr (qH$dm àíZm§H¥$VtMr ‘m{bH$m dm g§M) {Xbobr AgVo d COì¶m
~mOyg Mma CÎma AmH¥$˶m {Xboë¶m AgVmV. àíZmH¥$VrMm {dMma H$ê$Z AMyH$ CÎma AmH¥$Vr emoYUo AnojrV
AgVo. g§^mì¶ CÎmam§À¶m Mma AmH¥$˶m§Imbr A, B, C, D hr B§J«Or Ajao {bhbobr AgVmV. ˶mn¡H$s AMyH$
CÎma AmH¥$˶m§À¶m Imbrb B§J«Or Aja ñdV§Ì {‘iUmè¶m CÎma n{ÌHo$Vrb g§~§{YV àíZmÀ¶m g‘moarb Mma
Jmobm§n¡H$s ˶m AjamMoM Jmob a§Jdm¶Mo AgVo.
3. ¶m {d^mJmVrb àíZ gmoS>{dʶmgmR>r 60 {‘{ZQ>m§Mm H$mbmdYr {‘iVmo.
4. ‘mZ{gH$ j‘Vm MmMUr ‘ܶo Imbrb 10 KQ>H$mda àíZ {dMmabo OmVmV.
1. JQ>mV Z ~gUmar AmH¥$Vr
2.
AmH¥$Vr OwidUo (hþ~ohþ~ AmH¥$Vr R>adUo)
3. Z‘wZm nyU© (AmH¥$Vr nyU© H$aUo)
4.
lw§Ibm nyU© (AmH¥$˶m§Mm H«$‘ nyU© H$aUo)
5. {díbofU (AmH¥$˶m§‘Yrb g‘mZ g§~§Y emoYUoo) 6.
^y{‘Vr¶ (AnyU©) AmH¥$Vr nyU© H$aUo
7. Xn©U à{V‘m (AmH¥$VrMo à{Vq~~ emoYUo)
8.
H$mJXr KSçm CbJS>Uo>
9. AmH¥$Vr H$ënZm (VwH$S>o OmoSy>Z ~ZUmar AmH¥$Vr emoYUo) 10. bnbobr àíZAmH¥$Vr emoYUo.
‘mZ{gH$ j‘Vm MmMUr narjoÀ¶m gamdmgmR>r à˶oH$ àH$mamda {H$‘mZ 10 Z‘wZm àíZ Va gamdmgmR>r {H$‘mZ
50 àíZ {Xbobo AmhoV. à˶oH$ KQ>H$mda {H$‘mZ 5 ñdmܶm¶ {Xbobo AmhoV. à˶oH$ ñdmܶm¶ ‘ܶo 10 àíZ
{Xbobo Amho. {dX²¶m϶mªZr ¶m à˶oH$ KQ>H$mMm ~maH$mB©Zo Aä¶mg H$amdm. ˶m§Mm gamd H$amdm. Amdí¶H$ ˶m
Zm|Xr ¿¶mì¶mV. ¶m KQ>H$mda 600 nojm OmñV àíZm§Mm g‘mdoe Ho$bobm Amho.
6
Odmha ZdmoX¶ {dXçmb¶ - àdoenarjm
AWd©Hw$Umb
{d^mJ - ‘mZ{gH$ j‘Vm narjU
1. JQ>mV Z ~gUmar AmH¥$Vr
¶m àíZàH$mam‘Yrb {H$‘mZ Mma àíZ narjo‘ܶo {dMmabo OmVmV. ¶m àíZàH$mam‘ܶo Mma
AmH¥$˶m {Xë¶m OmVmV. ¶m Mma AmH¥$˶m§n¡H$s VrZ AmH¥$˶m H$moU˶mVar ~m~VrV g‘mZ AgVmV Am{U
˶mVrb EH$ AmH¥$Vr ˶m§À¶mnmgyZ {Zamir AgVo. ˶m {Zamiçm AmH¥$VrMr {ZdS> H$amd¶mMr AgVo. {Zamir,
{dg§JV dm {dOmoS> AmH¥$Vr {ZdS>VmZm H$mhr ~m~tMm {dMma H$amdm bmJVmo. Ogo - AmH¥$Vr gai Ho$br AgVm
˶m§Mr aMZm, AmH¥$VrVrb aMZm d AmH$ma, AmH¥$˶m§‘Yrb gmå¶ Agbobr JmoîQ>, AmH¥$Vr‘ܶo dmnabobo
{MÝh, Aja, g§»¶m dm KQ>H$ ¶m§Mr OmJm, pñWVr dm {Xem, VgoM AmH¥$VrÀ¶m AmVrb dm ~mø ^mJmV hmoUmao
~Xb, aoIm§{H$V dm N>m¶m§{H$V ^mJ, g‘{‘Vr B˶m§XrMm {dMma H$amdm bmJVmo. AmH¥$˶m§Mo JQ> nmS>VmZm H$mhr
doJdoJio {ZH$f bmdmdo bmJVmV. ˶m§Mo H$mhr Z‘wZo nmhÿ ¶m.
Z‘wZm àíZ :
1.
ñnîQ>rH$aU : - Mma AmH¥$˶m§n¡H$s VrZ AmH¥$˶m§‘ܶo AmH¥$VrMo ~amo~a g‘mZ XmoZ ^mJ Ho$bobo AmhoV.
AmH¥$Vr A ‘ܶo XmoZ ^mJ AmhoV nU Vo g‘mZ ñdê$nmV ZmhrV. (n¶m©¶ A)
2.
ñnîQ>rH$aU : - Mma AmH¥$˶m§n¡H$s VrZ AmH¥$˶m§‘ܶo dVw©im‘ܶo AmH¥$Vr Amho. AmH¥$Vr B ‘ܶo
Mm¡H$moZm‘ܶo dVw©i d ˶m‘ܶo Mm§XUrMr AmH¥$Vr Amho. (n¶m©¶ B)
3.
ñnîQ>rH$aU : - Mma AmH¥$˶m§n¡H$s VrZ AmH¥$Vr X²{d{‘Vr¶ åhUOoM bm§~r d ê§$Xr Agbobr AmhoV.
AmH¥$Vr C ‘Yrb AmH¥$Vr hr {Ì{‘Vr¶ åhUOoM bm§~r, ê§$Xr d C§Mr Agbobr Amho.
(n¶m©¶ C)
4.
{d^mJ - ‘mZ{gH$ j‘Vm narjU (1. JQ>mV Z ~gUmar AmH¥$Vr)
7
8.
9.
10.
ñdmܶm¶ H«$‘m§H$ - 1.6
1.
2.
3.
4.
5.
{d^mJ - ‘mZ{gH$ j‘Vm narjU (1. JQ>mV Z ~gUmar AmH¥$Vr)
15
gyMZm - àíZ H«$‘m§H$ 1 Vo 10 ‘ܶo, S>mì¶m ~mOyg EH$ àíZ AmH¥$Vr {Xbobo Amho Am{U COì¶m ~mOyg (A),
(B), (C), Am{U (D) Aer Mma CÎma AmH¥$˶m {Xboë¶m AmhoV. CÎma AmH¥$˶m§n¡H$s àíZ AmH¥$Vr g‘mZ Aem
AmH¥$VrMr {ZdS> H$am. Amnbo CÎma XmIdʶmH$[aVm g‘moarb ¶mo½¶ n¶m©¶mMo dVw©i H$mio H$am.
ñdmܶm¶ H«$‘m§H$ - 2.1
1.
2.
3.
4.
5.
6.
7.
8.
18
Odmha ZdmoX¶ {dXçmb¶ - àdoenarjm
AWd©Hw$Umb
ñdmܶm¶ H«$‘m§H$ - 3.2
1.
2.
3.
4.
5.
30
Odmha ZdmoX¶ {dXçmb¶ - àdoenarjm
AWd©Hw$Umb
ñnîQ>rH$aU : -
àíZ AmH¥$Vr‘Yrb VrÝhr AmH¥$˶m§Mo {ZarjU Ho$bo AgVm nyU© AmH¥$Vr KS>çmimÀ¶m H$mQ>çmÀ¶m {dê$Õ {XeoZo 900
{’$aV Agë¶mMo {XgVo. VgoM ~mø ‘moR>çm dVw©imdarb N>moQ>m dVw©imMm H$mim ^mJ H«$‘mZo A§V©^mJ d ~mø^mJ hmoV
Amhoo. ¶m JmoîQ>r§Mm {dMma hr ‘m{bH$m nyU© hmoʶmgmR>r àíZ{MÝhmOmJr C n¶m©¶ ¶mo½¶ R>aob. (n¶m©¶ C)
3.
ñnîQ>rH$aU : -
àíZAmH¥$Vr‘Yrb {MÝhm§Mr g§»¶m ‘moObr AgVm Vr H«$‘mZo 10, 9 d 8 Aer CVa˶m H«$‘mZo Amho. VgoM
{MÝhm§‘wio Pmbobr aofm KS>çmimÀ¶m H$mQ>çmÀ¶m {XeoZo 450 ‘ܶo {’$aV Amho. aofoMr {Xem d {MÝhm§Vrb
g§»¶oÀ¶m H«$‘~ÕVoMm {dMma H$aVm àíZ{MÝhmÀ¶m OmJr C n¶m©¶ ¶mo½¶ R>aob. (n¶m©¶ C)
4.
ñnîQ>rH$aU : -
nyU© AmH¥$Vr KS>çmimÀ¶m H$mQ>çmÀ¶m {XeoZo 900 {’$aVo VgoM AmH¥$Vr‘Yrb V AmH¥$Vrer g§b¾ AgUmar aofm H«$‘mZo ~mhoarb d AmVrb
~mOyg dië¶mMo {XgVo. ¶m JmoîQ>rM§ m {dMma hr ‘m{bH$m nyU© hmoʶmgmR>r àíZ{MÝhmOmJr C n¶m©¶ ¶mo½¶ R>abo . (n¶m©¶ C)
{d^mJ - ‘mZ{gH$ j‘Vm narjU (4. lw§Ibm nyU© / AmH¥$˶m§Mm H«$‘ nyU© H$aUo)
39
ñdmܶm¶ H«$‘m§H$ - 5.2
1.
2.
3.
4.
5.
60
Odmha ZdmoX¶ {dXçmb¶ - àdoenarjm
AWd©Hw$Umb
{d^mJ - ‘mZ{gH$ j‘Vm narjU
CÎmao - ñnîQ>rH$aUm§gh
ñdmܶm¶ 1.1 Vo 1.6 Mr CÎmao
H«$. 1.1
CÎma
H«$. 1.2
CÎma
H«$. 1.3
CÎma
H«$. 1.4
CÎma
H«$. 1.5
CÎma
H«$. 1.6
CÎma
1
2
3
4
5
6
7
8
9
10
C
C
C
D
B
D
B
A
B
D
1
2
3
4
5
6
7
8
9
10
D
C
C
D
D
B
C
C
B
D
1
2
3
4
5
6
7
8
9
10
D
B
A
B
C
D
D
D
D
B
1
2
3
4
5
6
7
8
9
10
D
A
A
C
B
B
B
D
A
C
1
2
3
4
5
6
7
8
9
10
C
A
C
D
A
C
D
C
C
B
1
2
3
4
5
C
A
D
C
D
‘mJ©Xe©H$ gyMZm
ñdmܶm¶ H«$‘m§H$ - 1.1
1.
2.
3.
AmH¥$Vr ‘ܶo XþMmH$s dmhZ Amho BVa
AmH¥$Vr‘Yrb gd© Mma MmH$s dm ‘moR>r dmhZo AmhoV.
C AmH¥$Vr gmoSy>Z BVa gd© AmH¥$VrV AY©dVw©i
AmH$mamMm dmna Ho$bobm Amho. ¶m AmH¥$VrV Ho$di
n§MH$moZmMr AmH¥$Vr Amho. ¶mMmM AW© Ho$di hr
AmH¥$Vr aofmI§S>m§Zr ~Zbobr Amho. ¶mV dH«$mH$ma
aofoMm dmna Pmbobm Zmhr.
C AmH¥$Vr ‘Yrb ‘moR>çm aofmI§S>mbm bhmZ aofmI§S>
nyU© N>oXÿZ Amanma OmV Amho. BVa AmH¥$Vr‘Yrb
C
4.
5.
6.
7.
8.
‘moR>m aofmI§S> hm bhmZ aofmI§S>mbm Ho$di
{MH$Q>bobm Amho.
D AmH¥$Vr gmoSy>Z BVa AmH¥$VrMm ‘ܶ^mJmV
Jmob Amho.
B AmH¥$Vr gmoSy>Z BVa AmH¥$Vr g‘mZ AmhoV.
D AmH¥$Vr gmoSy>Z BVa A§H$ ho 5 aofmI§S>m§Zr
~Zbobo AmhoV.
B AmH¥$Vr‘Yrb AmH$ma hm BVa AmH¥$˶m§nojm
{^Þ AmhoV.
A AmH¥$Vr‘Yrb AmH$ma hm BVa AmH¥$˶m§nojm
{^Þ AmhoV.
{d^mJ - ‘mZ{gH$ j‘Vm narjU (CÎmao - ñnîQ>rH$aUm§gh)
113
7.
8.
~Xb Pmbobm Amho. àíZ AmH¥$Vrà‘mUo V§VmoV§V 9.
AmH¥$Vr n¶m©¶ C ‘ܶo Amho.
A, B, D n¶m©¶m§‘ܶo AZwH«$‘o AmH¥$VrMm nm¶,
Vm|S>mMm hgam ^mJ EodOr aS>dobm Vm|S>mMm AmH$ma,
S>moi¶m§Mr nmhʶmMr {Xem ¶m§‘ܶo ~Xb AmhoV.
àíZ AmH¥$Vrà‘mUo V§VmoV§V AmH¥$Vr n¶m©¶ C ‘ܶo 10.
Amho.
B, C, D n¶m©¶m§‘ܶo AZwH«$‘o nmʶmVrb
AY©dVw©imgma»¶m ^mJmMr {Xem, n§ImMm AmH$ma,
MmoM ¶m‘ܶo ~Xb Pmbobo AmhoV. àíZ AmH¥$Vrà‘mUo
V§VmoV§V AmH¥$Vr n¶m©¶ A ‘ܶo Amho.
A, B, D n¶m©¶m§‘ܶo
AZwH«$‘o nm¶ XmIdbobm
Amho, ‘w»¶ AmH¥$VrV nyU©nUo ~Xb, Odirb
~mOyH$S>rb n§ImV ~Xb AmhoV. àíZ
AmH¥$Vrà‘mUo V§VmoV§V AmH¥$Vr n¶m©¶ C ‘ܶo
Amho.
A, B, C n¶m©¶m§‘ܶo AZwH«$‘o eonQ>rV ~Xb,
A§Jmdarb nQ²>Q>o, A§Jmdarb nQ²>Q>o ~Xb ¶m‘wio
ho {VÝhr n¶m©¶ ¶mo½¶ R>aUma ZmhrV. àíZ
AmH¥$Vrà‘mUo V§VmoV§V AmH¥$Vr n¶m©¶ D ‘ܶo
Amho.
ñdmܶm¶ 3.1 Vo 3.5 Mr CÎmao
H«$. 3.1
1
2
3
4
5
6
7
8
9
10
CÎma
B
B
D
A
C
B
D
D
C
C
H«$. 3.2
1
2
3
4
5
6
7
8
9
10
CÎma
B
A
A
A
D
A
A
C
A
D
H«$. 3.3
1
2
3
4
5
6
7
8
9
10
CÎma
A
B
B
B
B
D
A
A
D
B
H«$. 3.4
1
2
3
4
5
6
7
8
9
10
CÎma
B
A
A
A
B
B
A
D
D
C
H«$. 3.5
1
2
3
4
5
6
7
8
9
10
CÎma
A
B
C
A
C
A
C
D
D
C
‘mJ©Xe©H$ gyMZm
ñdmܶm¶ H«$‘m§H$ - 3.1
1.
2.
3.
{d^mJ - ‘mZ{gH$ j‘Vm narjU (CÎmao - ñnîQ>rH$aUm§gh)
4.
119
{d^mJ 2 - A§H$J{UV
EHy$U JwU : 25
EHy$U àíZ : 20
àmñVm{dH$ :
A§H$J{UVm‘Yrb ‘wb^yV H$m¡eë¶ dm àm{dʶ, A§H$J{UVmVrb Mma ‘yb^yV àH«$s¶m, kmZmMo Cn¶moOZ
B˶mXrMo ‘mnZ H$aUo ¶m MmMUr ‘mJrb CÔoe Amho.
ñdê$n :
1. ¶m narjoV Ho$di A§H$J{UVmÀ¶m ñdê$nmVrb 20 àíZ {dMmabo OmVmV d ¶mgmR>r EHy$U 25 JwU AgVmV.
à{V àíZmg 1.25 JwU AgVmV.
2. à˶oH$ àíZmImbr A, B, C, D ¶m Ajam§Mm dmna H$ê$Z Mma n¶m©¶ {bhbobo AgVmV. ñdV§Ì {‘iUmè¶m CÎma
n{ÌHo$Vrb g§~§{YV àíZmÀ¶m g‘moarb Mma Jmobm§n¡H$s AMyH$ CÎmamMm n¶m©¶ AgUmè¶m B§J«Or AjamMm Jmob
a§Jdm¶Mm AgVmoo.
3. ¶m {d^mJmVrb àíZ gmoS>{dʶmgmR>r 30 {‘{ZQ>m§Mm H$mbmdYr {‘iVmo.
4. H$ƒo dm a’$ H$m‘ àíZn{ÌHo$‘ܶo {Xboë¶m R>am{dH$ OmJoVM H$am¶Mo AgVo. e³¶Vmo ˶mgmR>r nopÝgb dmnamdr.
5. A§H$J{UV ‘ܶo Imbrb 15 KQ>H$mda àíZ {dMmabo OmVmV.
1. g§»¶m Am{U g§»¶mË‘H$ àUmbr
2.
nyU© g§»¶m§darb Mma ‘wb^yV {H«$¶m
3. AnyUmªH$ Am{U ˶mdarb Mma ‘yb^yV {H«$¶m
4.
Ad¶d Am{U Jw{UVo (˶m§À¶m JwUY‘mªgh)
5. g§»¶m§Mo bgm{d Am{U ‘gm{d
6.
Xem§e AnyUmªH$ Am{U ˶mdarb ‘yb^yV {H«$¶m
7. Xem§e Am{U ì¶mdhm[aH$ AnyUmªH$mMo EH$‘oH$m§V ê$nm§Va
8.
{d{dY n[a‘mUo ‘moOʶmgmR>r g§»¶m§Mm Cn¶moJ>
(bm§~r, dñVw‘mZ, YmaH$Vm, H$mb, MbZ, B.)
9. A§Va, H$mi Am{U JVr
10. 춧OH$ A§XmOrH$aU
11. g§»¶mË‘H$ A{^춺$s¨Mo gabrH$aU
12. Q>¸o$dmar Am{U ˶mMo AZwà¶moJ
13. Z’$m - VmoQ>m
14. gaiì¶mO
15. n[a{‘Vr, joÌ’$i Am{U KZ’$i (AmH$ma‘mZ)
{Q>n - ¶m KQ>H$mV g‘m{dîQ> AgUmè¶m g§H$ënZm, H$m¡eë¶o g‘OyZ KoʶmgmR>r d ˶m§Mo Cn¶moOZ H$aʶmda A{YH$ ^a
{Xbm OmB©b. MmMUr‘Yrb gd©M àíZ dñVw{ZîR> Agë¶m‘wio J{UVm‘Yrb {d{dY g§H$ënZm, g§~moY, gyÌ, gd©gm‘mݶ {Z¶‘
B. gamd AnojrV Amho. ¶m gd© Jm|îQ>tMm {dMma H$ê$Z ¶m ‘mJ}X{e©Ho$V ‘m{hVr XoʶmMm à¶ËZ Ho$bm Amho. A§H$J{UVmÀ¶m
gamdmgmR>r à˶oH$ KQ>H$mda {H$‘mZ 10 Z‘wZm àíZ Va gamdmgmR>r {H$‘mZ 50 àíZ (H$mhr KQ>H$m§Mm AndmX dJiVm.)
{Xbobo AmhoV. à˶oH$ KQ>H$mda {H$‘mZ (gamgar) 5 ñdmܶm¶ {Xbobo AmhoV. à˶oH$ ñdmܶm¶ ‘ܶo 10 àíZ {Xbobo Amho.
{dX²¶m϶mªZr ¶m à˶oH$ KQ>H$mMm ~maH$mB©Zo Aä¶mg H$amdm. ˶m§Mm gamd H$amdm. Amdí¶H$ ˶m Zm|Xr ¿¶mì¶mV. ¶m KQ>H$mda
850 nojm OmñV àíZm§Mm g‘mdoe Ho$bobm Amho.
150
Odmha ZdmoX¶ {dXçmb¶ - àdoenarjm
AWd©Hw$Umb
{d^mJ - A§H$J{UV
1. g§»¶m Am{U g§»¶mboIZ nX²YVr
1. g§»¶m : g§»¶m hr A§H$m§Zr ~ZVo.
Z¡g{J©H$ g§»¶m - ¶mbm ‘moOg§»¶m Agohr åhUVmV. dñVw ‘moOʶmgmR>r ¶m g§»¶mg‘whmMm dmna
H$aVmV. CXm. 1, 2, 3....... bhmZmV bhmZ Z¡g{J©H$ g§»¶m 1 Amho Va gdmªV ‘moR>r g§»¶m AZ§V Amho
dm Vr gm§JUo Ae³¶ Amho.
nyU© g§»¶m - Z¡g{J©H$ g§»¶m g‘yhm‘ܶo 0 Mm g‘mdoe Ho$bm H$s hm g§»¶m g‘yh {‘iVmo. CXm. 0, 1,
2, 3....189,....bhmZmV bhmZ nyU© g§»¶m 0 Amho Va gdmªV ‘moR>r nyU© g§»¶m AZ§V Amho dm Vr gm§JUo
Ae³¶ Amho.
nyUmªH$ g§»¶m - nyU© g§»¶m g‘yhm‘ܶo F$U nyUmªH$m§Mm g‘mdoe Ho$bm H$s hm g§»¶m g‘yh {‘iVmo. CXm.
-9800...-100...., -3, -2, -1, 0, 1, 2, 3,...189,...1200.....bhmZmV bhmZ dm ‘moR>çmV ‘moR>r nyUmªH$
g§»¶m AZ§V Amho dm Vr gm§JUo Ae³¶ Amho. H$moU˶mhr F$U g§»¶o nojm 0 hm ‘moR>m AgVmo. XmoZ F$U
g§»¶m§Mr ~arO hr F$UM ¶oVo.
2. Xe©Zr qH$‘V : à˶oH$ A§H$m§Mr Xe©Zr qH$‘V åhUOo Vmo A§H$M hmo¶. CXm. 96 ¶m g§»¶o‘Yrb 9 Mr
Xe©Zr qH$‘V 9 Amho, Va 6 Mr Xe©Zr qH$‘V 6 Amho. WmoS>³¶mV A§H$ H$moU˶m ñWmZmda Amho ¶mMm
H$moUVmhr n[aUm‘ Xe©Zr qH$‘Vrda hmoV Zmhr.
3. ñWm{ZH$ qH$‘V : g§»¶oVrb ñWm{ZH$ qH$‘V hr ˶m A§H$m§À¶m ñWmZmdê$Z R>aV AgVo.
* EH$H$ : AmnU g§»¶m Xe‘mZ nX²YVrV {b{hVmo. ¶m nX²YVrV g§»¶m {bhVmZm gdm©V COdrH$S>oMo
ñWmZ EH$H$ ñWmZ. EH$H$ ñWmZr ¶oUmam A§H$ åhUOo EH$H$ hmo¶. EH$H$ ho gwQçm ñdê$nmV ‘m§S>bo OmVmV.
EH$H$mÀ¶m S>mdrH$S>o XeH$ñWmZ, ˶mÀ¶m S>mdrH$S>o eVH$ñWmZ B. AgVo. ñWmZ Xe©{dUmam Imbrb Vº$m
nmhm d ñWmZ bjmV R>odm.
AãO
XeH$moQ>r
H$moQ>r
Xebj
bj
Xe hOma
hOma
eVH$
XeH$
EH$H$
>CXm. 5, 89, 12, 36, 471 ¶m g§»¶o‘Yrb à˶oH$ A§H$m§Mr ñWm{ZH$ qH$‘V nwT>rb V³Ë¶mà‘mUo Agob.
A§H$
ñWmZ
A§§H$  ñWmZ
ñWm{ZH$ qH$‘V
1
7
4
6
3
2
1
9
8
5
EH$H$
11
1
XeH$
7  10
70
eVH$
4  100
400
hOma
6  1,000
6,000
Xe hOma
3  10,000
30,000
bj
2  1,00,000
2,00,000
Xebj
1  10,00,000
10,00,000
H$moQ>r
9  1,00,00,000
9,00,00,000
XeH$moQ>r
8  10,00,00,000
80,00,00,000
AãO
5  1,00,00,00,000
5,00,00,00,000
{d^mJ - A§H$J{UV (1. g§»¶m Am{U g§»¶mË_H$ àUmbr)
151
10. VrZ A§H$m§À¶m EHy$U {H$Vr g§»¶m ~Zy eH$VmV?
(A) 900
(B) 999
(C) 899
(D) 990
ñdmܶm¶ H«$‘m§H$ - 1.9
ghm A§H$m§À¶m EHy$U {H$Vr g§»¶m ~Zy eH$VmV?
(A) 999999
(B) 899999
(C) 900000
(D) 910000
2. ghm bj XmoZ hOma gmR> hr g§»¶m H$er {bhVmV?
(A) 600260
(B) 602060
(C) 6002060
(D) 602007
3. nwT>rbn¡H$s gdmªV bhmZ g§»¶m H$moUVr?
(A) 40404
(B) 44400
(C) 40044
(D) 40440
4. 4, 6, 0, 2, 5 ¶m A§H$m§Mm {H$‘mZ EHo$H$Xm Cn¶moJ H$ê$Z V¶ma hmoUmar nmM A§H$s {H$‘mZ g§»¶m Amho.
(A) 20654
(B) 20546
(C) 24560
(D) 20456
5. 40 Vo 50 ‘Yrb AgUmè¶m ‘yi g§»¶oVrb H$‘mb d {H$‘mZ g§»¶oVrb ’$aH$ AmhoV?
(A) 6
(B) 5
(C) 7
(D) 4
6. 10 Vo 30 ‘Yrb AgUmè¶m ‘yi g§»¶m {H$Vr AmhoV?
(A) 2
(B) 4
(C) 6
(D) 7
7. EH$H$ ñWmZr 3 AgUmè¶m nU XeH$ñWmZr 3 A§H$ ZgUmè¶m EHy$U {H$Vr XmoZ A§H$s g§»¶m AmhoV?
(A) 9
(B) 8
(C) 7
(D) 6
8. 1 Vo 100 g§»¶o‘ܶo 7 hm A§H$ {H$Vr doim ¶oVmo?
(A) 21
(B) 20
(C) 19
(D) 18
9. g‘ d ‘yi AgUmè¶m EHy$U g§»¶m {H$Vr AmhoV?
(A) 0
(B) 25
(C) 24
(D) 1
10. 5489805 ¶m g§»¶oVrb bj ñWmZr AgUmè¶m A§H$m§Mr ñWm{ZH$ qH$‘V d 9 ¶m A§H$mÀ¶m ñWm{ZH$
qH$‘V ¶m§Mr ~arO Amho.
(A) 5009000
(B) 9800
(C) 89000
(D) 409000
1.
A{YH$Mr ‘m{hVr - 101 Vo 200 n¶ªVÀ¶m ‘yi g§»¶m
EH$H$ ñWmZMm A§H$
162
‘yi g§»¶m
EHy$U
1
101, 131, 151, 181, 191
5
3
103, 113, 163, 173, 193
5
7
107, 127, 137, 157, 167, 197
6
9
109, 139, 149, 179, 199
5
Odmha ZdmoX¶ {dXçmb¶ - àdoenarjm
AWd©Hw$Umb
ñdmܶm¶ H«$‘m§H$ - 2.4
16  5 - 20  10 gmoS>ë¶mda Amåhmbm {‘imbo.
(A) 6
(B) 40
(C) 48
(D) 78
2. 7  7 + 7  7 - 7 Mo gmono én H$moUVo? (A) 49
(B) 8
(C) 43
(D) 57
3. 10 + 4  2 - 3  2 + 4  2  2 - 4 gmoS>dë¶mda ¶oVmV....... (2004)
(A) 0
(B) 1
(C) 6
(D) 8
4. 800  125 ¶oʶmH$aVm 86325 Am{U 1457 ¶m§À¶m ~oaOoV H$m¶ {‘idm¶bm nm{hOo?
(A) 12217
(B) 12218
(C) 12228
(D) 2218
5. n{hë¶m Mma {df‘ g§»¶mMr gamgar {H$Vr?
(A) 3.5
(B) 4
(C) 8
(D) 16
6. 10, 12, 21, 29 Am{U 38 ¶m g§»¶m§Mr gamgar {H$Vr? (A) 22
(B) 21
(C) 20
(D) 19
7. VrZ g§»¶mMr gamgar 8 Amho. ˶mn¡H$s XmoZ g§»¶m 5 Am{U 12 AgVrb, Va {Vgar g§»¶m H$moUVr?
(A) 6
(B) 7
(C) 8
(D) 8.5
8. (600 + 90  3 - 10  7) Mr qH$‘V {H$Vr ¶oVo? (A) 688
(B) 360
(C) 580
(D) 560
9. (2  2) - (1  1) = 2 + 1 = 3; (3  3) - (2  2) = 3 + 2 = 5; (4  4) - (3  3) = 4 +
3 = 7; (5  5) - (4  4) = 5 + 4 = 9; ..Va (68  68) - (67  67) = ?
(A) 1035
(B) 135
(C) 1
(D) 2
10. (1 + 2 - 3) + (4 + 5 - 9) + (6 + 7 - 13) + (8 + 9 - 17) + (12 + 13 - 25)
¶mbm gaiê$n {Xë¶mda CÎma ¶oVo. (2014)
(A) -16
(B) 1
(C) 0
(D) 127
1.
ñdmܶm¶ H«$‘m§H$ - 2.5
1.
2.
168
ewH«$dmar 1,250 bmoH$ gH©$erbm ~Km¶bm Jobo. ewH«$dmaÀ¶m {VßnQ> bmoH$ e{Zdmar ~Km¶bm Jobo. gJio
{‘iyZ ¶m XmoZ {Xdgm§V {H$Vr bmoH$ gH©$erbm ~Km¶bm Jobo ? (2015)
(A) 3,750
(B) 5,000
(C) 2,450
(D) 6,200
EH$ XþH$mZXma <$15 bm EH$ ~m°bnoZ Am{U 10 ~m°bnoZMo n°Ho$Q> < 120 bm {dH$Vmo. AZreZo 22
~m°bnoZ KoVbr, Va {Vbm Vr Ho$dT>çmbm nS>Vrb (2014)
(A) <$330
(B) <$264
(C) <$270
(D) <$280
Odmha ZdmoX¶ {dXçmb¶ - àdoenarjm
AWd©Hw$Umb
7. Xem§e Am{U ì¶mdhm[aH$ AnyUmªH$mMo EH$‘oH$m§V ê$nm§Va
*
*
ì`dhmar AnyUmªH$m§Mo Xem§e AnyUmªH$mV ê$nm§Va:
CXm. - = 0.5, = 0.3,
= 0.12,
= 0.18,
= 0.008, = 0.125
ì`dhmar AnyUmªH$mMo Xem§e AnyUmªH$mV ê$nm§Va H$aVmZm N>oX 10 qH$dm 10 À`m KmVmÀ`m
qH$_Vr_Ü`o àW_ H$amdm. N>oXñWmZr EH$ Z§Va {OVHo$ eyÝ` AgVrb {VVHo$ A§emVrb
g§»`oVrb COdrH$Sy>Z Kao gmoSy>Z Xem§e{MÝh Úmdo. qH$dm N>oXmZo A§embm ^mJmdo.
Xem§e AnyUmªH$ Vo ì`dhmar AnyUmªH$ ê$nm§Va:
CXm. - 0.25 =
= , 0.5 =
= , 0.75 =
= , 1.25 =
= , 2.5 =
=
Xem§e AnyUmªH$mMo ì`dhmar AnyUmªH$mV ê$nm§Va H$aVmZm {Xboë`m g§»`obm A§eñWmZr Xem§e{MÝh
dJiyZ {bhmdo. Xem§e{MÝhmZ§Va {OVHo$ A§H$ AgVrb {VVHo$ eyÝ` 1 Z§Va N>oXñWmZr {bhmdo.
Oa `m AnyUmªH$mg A{Vg§{já ê$n XoVm `oV Agob Va Vo Úmdo.
Z‘wZm àíZ :
1.
2.
3.
4.
5.
196
¶mMm Xe‘mZ g‘H$j Amho.
((A) 4.789
(B) 4.879
(C) 0.4789
(D) 4.798
ñnîQ>rH$aU : - 4 nyUmªH$, 7 Xem§e, 9 eVm§e, 8 ghòm§e åhUyZ `mo½` g§»`m 4.798 hmoB©b.(n¶m©¶ D)
AnyUmªH$ nX²YVr‘ܶo gwb^rH$aU Ho$ë¶mda ømMo CÎma Amho.
4.25 - 1.75 + 3.5 - 3.65
(A) 2
(B) 3
(C) 3
(D) 2
ñnîQ>rH$aU : 4.25 - 1.75 + 3.5 - 3.65 = 2.35 = 2 = 2 (n¶m©¶ D)
Imbrbn¡H$s 4.5 À¶m BVHo$ Zmhr?
(A) 450%
(B)
( C)
(D) 4
ñnîQ>rH$aU : - 450% = = 4.5, = 4.5, = 4.4, 4 = = 4.5 (n¶m©¶ C)
Mm Xem§e g‘H$j Amho.
(A) 0.315
(B) 4.2
(C) 3.15
(D) 315
ñnîQ>rH$aU : - 2, 4 d 5 Mm bgm{d 20 Amho. åhUyZ
= 3.15
(n¶m©¶ C)
AmnU
hr g§»`m Xe_mZ nX²YVrZo Aer {bhVmV.
(A) 0.073
(B) 0.0073
(C) 0.73
(D) 0.7300
ñnîQ>rH$aU : - (gyMZm - A§eñWmZmdarb 73 hm A§H$ Amho Vgm {bhm. N>oXñWmZr EH$ Z§Va 4 eyÝ` AmhoV åhUyZ COdrH$Sy>Z
Mma A§H$ gmoSy>Z Xem§e{MÝh Úm. nwaogo A§H$ ZgVrb Va VoWo eyÝ` {bhm.) 73  1000 = 0.0073 (n¶m©¶ B)
Odmha ZdmoX¶ {dXçmb¶ - àdoenarjm
AWd©Hw$Umb
EH$m XþH$mZXmamZo < 216 S>PZmÀ¶m XamZo 2 S>PZ ~«e IaoXr Ho$bo. Oa ˶mZo < 20 ¶m XamZo à˶oH$ ~«e
{dH$bm, Va ˶mbm {H$Vr Z’$m hmoB©b?
(A) < 48
(B) < 40
(C) < 38
(D) < 50
ñnîQ>rH$aU : - IaoXr qH$_V = 216  2 = 432; {dH«$s qH$_V = 24  20 = 480 åhUyZ
Z\$m = 480 - 432 = 48
(n¶m©¶ A)
10. EH$m ‘wbmZo Amnbo OwZo nmR>çnwñVH$ 20% VmoQ>çmZo 72 ê$n¶m§g {dH$bo, nmR>çnwñVH$mMr IaoXr qH$‘V H$m¶
hmoVr?
(A) < 88.80
(B) < 90
(C) < 100
(D) < 140
ñnîQ>rH$aU : - IaoXr qH$_V = 72  100  80 = 7200  80 = 90
(n¶m©¶ B)
9.
ñdmܶm¶ H«$‘m§H$ - 13.1
1.
A Zo EH$ IaoXr Ho$bobr dñVy 15% Zâ¶mZo ~ bm {dH$br. ~ Zo Vr dñVy 15% Zâ¶mZo {dH$br. ~ Zo
{dH$bobr qH$‘V d A Mr IaoXr qH$‘V ¶mVrb ’$aH$ < 387 Agob Va A Mr IaoXr qH$‘V {H$Vr
Amho?
(A) < 1200
(B) < 600
(C) < 3870
(D) < 7740
2.
EH$ eQ>© 32% Z’$m {‘idyZ < 3696 bm {dH$bm. Va ˶m eQ>©Mr IaoXr qH$‘V Amho.
(A) < 3000
(B) < 2600
(C) < 2800
(D) < 2500
3. {‘ZmZo < 980 bm IaoXr Ho$bobm EH$ S´>og 30% Zâ¶mZo {dH$bm. S´>og {dH$bm Vr a¸$‘ Amho.
(A) < 1010
(B) < 1234
(C) < 1170
(D) < 1274
4. EH$m 춺$sZo ZJmbm < 8 ¶m XamZo 170 Am§~o IaoXr Ho$bo. 25 Am§~o gS>bobo hmoVo. Cabobo Am§ã¶m§n¡H$s <
47 bm 5 Am§~o ¶m XamZo {dH$bo. Va ˶mMm Z’$m dm VmoQ>m Amho.
(A) Zm Z’$m Zm VmoQ>m (B) Z’$m < 3
(C) VmoQ>m < 3
(D) Z’$m < 238
5. EH$m ‘mUgmZo EH$ Ka < 2,25,000 KoVbo. Xþê$ñVrgmR>r 25,000 IM© H$ê$Z Vo 2,80,000 {dH$bo, Va
˶mMm Z’$m dm VmoQ>m {H$Vr Q>¸o$?
(A) Z’$m 12%
(B) Z’$m 30%
(C) VmoQ>m 12%
(D) VmoQ>m 30%
6. EH$m Zmai {dH«o$˶mZo 15 ê$n¶m§Zm 2 Zmai IaoXr Ho$bo d 41.25 ê$n¶m§Zm 5 Zmai {dH$bo, Va ¶m
ì¶dhmamV Z’$m dm VmoQ>m {H$Vr Q>¸o$?
(A) Z’$m 10%
(B) VmoQ>m 5%
(C) VmoQ>m 10%
(D) Z’$m 5%
7. eaXZo < 420 Mm eQ>© 441 {dH$bm Va ho‘§VZo < 500 Mm eQ>© 524 {dH$bm Va ¶m ì¶dhmamV eoH$S>m Z’$m
H$moUmbm OmñV Pmbm?
(A) eaXbm
(B) hoԤVbm
(C) XmoKm§Zm g‘mZ
(D) {ZpíMV gm§JVm ¶oUma Zmhr
{d^mJ - A§H$J{UV (13. Z\$m - VmoQ>m)
237
{d^mJ - A§H$J{UV
CÎmao - ñnîQ>rH$aUm§gh
ñdmÜ`m`
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
2.1
2.2
2.3
2.4
2.5
3.1
3.2
3.3
3.4
3.5
4.1
4.2
4.3
1
B
C
D
A
A
B
D
A
C
A
B
D
D
B
A
B
A
C
B
C
D
C
2
B
C
B
B
D
C
C
D
B
A
B
C
C
C
B
C
A
B
B
D
C
C
3
C
A
D
B
A
A
B
B
C
C
B
A
C
D
A
D
B
A
C
C
A
C
{d^mJ - A§H$J{UV (CÎmao - ñnîQ>rH$aUmgh)
4
A
D
B
A
D
A
A
B
D
C
D
D
B
B
B
D
D
C
C
D
B
D
5
C
A
B
B
A
C
B
B
A
D
B
C
B
C
A
C
B
C
B
C
D
C
6
A
B
A
C
C
A
B
C
C
C
D
D
A
D
D
B
B
A
C
D
A
D
7
B
D
D
B
C
B
D
C
B
C
A
C
B
B
B
A
C
C
C
C
C
D
8
B
D
B
B
D
D
A
B
B
C
A
B
D
D
D
C
A
C
C
C
B
D
9
C
B
B
B
A
C
A
D
D
D
C
B
B
B
A
B
B
B
C
A
A
A
10
C
C
C
D
D
B
D
A
D
D
B
B
C
D
A
A
D
D
B
C
C
C
257
ñdmÜ`m` H«$_m§H$ - 1.1
5. _yig§»`m = 2, 3, 5, 7
6. _yig§»`m = 2, 3, 5, 7, 11, 13, 17, 19
7. _yig§»`m = 13, 17, 19, 23
8. _yig§»`m = 23, 29
10. 101, 103, 107, 109
ñdmÜ`m` H«$_m§H$ - 1.2
4. 5  7 = 35
5. 17 + 13 + 41 + 2 + 31 = 104
6. 71 + 73 + 79 = 223
7. 1 Vo 20 _Ü`o EHy$U 8 _yi g§»`m AmhoV. åhUyZ
Ë`m§Mr Q>¸o$dmar = 8  20  100 = 40%
40% = = 0.4
8. 11 + 13 + 17 + 19 = 60
9. 41 + 43 + 47 = 131
10. g§`wº$ g§»`m = 12, 14, 15, 16, 18
ñdmÜ`m` H«$_m§H$ - 1.3
3. 97530 - 30579 = 66951
5. 99999 + 9999 = 109998
6. 888640 - 400068 = 488572
7. 99999 - 10000 = 89999
ñdmÜ`m` H«$_m§H$ - 1.4
5. 10000 - 9999 = 1
8. 609  960 = 5,84,640
ñdmÜ`m` H«$_m§H$ - 1.5
1. 7000 - 7 = 6993
3. 3000 - 3 = 2997
4. 5000 - 30 = 4970
6. 30 - 3 = 27
ñdmÜ`m` H«$_m§H$ - 1.6
1. 17000 + 1900 + 30 = 18930
2. 47 + 27 = 74 L Vr g§»`m = 47
3. 9999 - 999 = 9000
4. 10000 + 9999 = 19999
260
5.
6.
7.
8.
99999 - 9999 = 90000
1000 - 999 = 1
10000 - 999 =9001
9999 + 1000 = 10999
ñdmÜ`m` H«$_m§H$ - 1.7
2
1. 10 = 100
4. 980, 908, 890, 809
5. 999730 - 300079 = 699651
6. 1 Vo 100 g§»`oV 74 g§`wº$ g§»`m AmhoV.
7. 999999 + 99999 = 1099998
9. 98540 - 40589 = 57951
10. 9999999 - 99999 = 9900000
ñdmÜ`m` H«$_m§H$ - 1.8
1. 100000 - 9999 = 90001
5. 202 = 400
6. 20  21 = 420
7. 1 A§H$s 9 g§»`m, 2 A§H$s 90 g§»`m Va 3 A§H$s
1 g§»`m Amho. åhUyZ
9  1 + 90  2 + 1  3
= 9 + 180 + 3 = 192
8. 36 + 27 = 63 L Vr g§»`m = 36
10. 999 - 99 = 900
ñdmÜ`m` H«$_m§H$ - 1.9
1. 999999 - 99999 = 900000
5. _yig§»`m = 41, 43, 47
åhUyZ 47 - 41 = 6
7. 13, 23, 43, 53, 63, 73, 83, 93
9. g_ d _yi AgUmar EH$_od g§»`m 2 hr Amho.
ñdmÜ`m` H«$_m§H$ - 2.1
1. (43250  2) + 8750
= 86500 + 8750 = 95250
3.
+ - 16016 = 345678
2 = 345678 + 16016
2 = 361694 åhUyZ = 180847
Odmha ZdmoX¶ {dXçmb¶ - àdoenarjm
AWd©Hw$Umb
{d^mJ 3 - ^mfm narjU
EHy$U JwU : 25
EHy$U àíZ : 20
àmñVm{dH$ :
^mfm narjU {d^mJmV EHy$U 20 àíZ AgVmV. ^mfm narjU hm 25 JwUm§Mm ^mJ AgVmo. `m ^mJmV Mma
CVmao `oVmV. àË`oH$ CVmè`mer g§~§{YV nmM àíZ {Xbobo AgVmV. `m CVmè`mMo dmMZ H$ê$Z Ë`mImbrb
{dMmaboë`m àíZm§Mr CÎmao emoYUo AnojrV AgVo. ^mfm narjUm_Ü`o {dÚmÏ`m©Mr dmMZ j_Vm, AmH$bZ,
Ë`mM~amo~a Cn`moOZ d H$m¡eë` B. KQ>H$mMo narjU H$aUmao àíZ AgVmV. `m {d^mJmVrb gd© àíZ
BVa {d^mJmà_mUo dñVw{ZîR> AgVmV.
`m {d^mJmVrb n[aÀN>oX gw_mao 125 eãXm§Mm AgVmo. ho CVmao KQ>Zm, g§dmX, àg§J, nÌ qH$dm dU©Z
BË`mXrda AgVmV. CVmam ObX d H$miOrnyd©H$ dmMyZ {dMmaboë`m àíZm§Mr AMyH$ CÎmao emoYÊ`mMo
H$m¡eë` {dH$grV hmoÊ`mgmR>r `m {d^mJmV 70 CVmao {Xbobo AmhoV. VgoM XmoZ CVmao gmoS>dyZhr Xm{Idbobo
AmhoV. CVmè`mImbrb àíZm§_Ü`o g_mZmWu eãX, {dê$ÕmWr© eãX, dmŠàMma B. da AmYmarV àíZ
CVmè`mÀ`m AZwf§JmZo {dMmabo OmVmV. Var _amR>r ì`mH$aUmMr Vm|S>AmoiI AgUo Amdí`H$ Amho. CVmam
dmMVmZm Ë`m_Ü`o gm§{JVbobm KQ>ZmH«$_, Ë`m_Yrb KQ>Zm, àg§J, ì`º$s Ë`m_Yrb g§dmX, doi, OmJm B.
{dMmamV ¿`mdo. CVmè`mVrb H$R>rU eãXm§Mm g§X^m©Zwgma AW© bjmV ¿`mdm. ^mfm {df`mgmR>r gmYmaUnUo
30 {_{ZQ>m§Mm H$mbmdYr AgVmo. CVmam dmMë`mZ§Va àíZmMo CÎma XoVmZm H$mhr e§H$m Amë`mg nwÝhm
CVmam dmMmdm.
`m JmoîQ>r bjmV R>odm.
1.
CVmam H$miOrnyd©H$ dmMyZ Ë`m_Yrb Ame` bjmV ¿`mdm.
2.
CVmè`mVrb KQ>Zm, ì`º$s dm KQ>ZoMo dU©Z, g§dmX, àg§J, nÌ, KQ>ZmH«$_, H$Wm dm Ë`mMm H$mhr ^mJ B.
Mr Zm|X ¿`m.
3.
àíZ H$miOrnyd©H$ d nwU© dmMm. ZH$mamWu àíZ Agë`mg H$miOrnyd©H$ {dMma H$ê$Z àíZ gmoS>dm.
4.
àË`oH$ àíZmImbr {Xboë`m n`m©`m§VyZ AMyH$ n`m©` emoYm. n`m©` emoYVmZm H$mhr e§H$m Amë`mg nwÝhm
CVmamdmMZ H$am. bmJy ZgUmao n`m©` aX²X H$ê$Z AMyH$ CÎma {ZpíMV H$aUo AZoH$doim eŠ` AgVo,
ho bjmV R>odm.
5.
_OHw$amÀ`m H«$_mZoM CVmè`mdarb àíZ ZgVmV, ho bjmV ¿`m.
6.
àË`oH$ CVmè`mda {H$_mZ nmM àíZ AgVmV.
{d^mJ - ^mfm
277
{d^mJ - ^mfm narjU
1. CVmam
Z_wZm CVmam H«$_m§H$ - 1
_mPr nmM dfmªMr _wbJr {_Zr ~mobë`m{edm` j_^ahr amhÿ eH$V Zmhr. `m OJmV OÝ_mbm Amë`mda ^mfm
{eH$m`bm {VZ§ \$ŠËm EH$ df© IM© Ho$b§. `mZ§Va Ooìhm Vr OmJr AgVo Voìhm ~mobë`m{edm` EH$ jUhr
\w$H$Q> KmbdV Zmhr. {VMr AmB© amJmdyZ {VM§ Vm|S> nwîH$i doim ~§X H$aVo; nU _r _mÌ Ag§ H$ê$ eH$V
Zmhr. Jßn ~gbobr {_Zr BVH$s {d{MÌ dmQ>Vo H$s, _bm Vo \$ma doi ghZ hmoV Zmhr. åhUyZ _mÂ`m~amo~a
{VÀ`m Jßnm _moR>çm CËgmhmZ§ MmbVmV.
gH$mir gH$mir _r _mÂ`m H$mX§~arM§ gVamd§ àH$aU {bhm`bm gwê$dmV H$aUma EdT>çmV {_Zr `oD Z ~moby
bmJbr, ""~m~m, nhmaoH$ar "H$mH$'bm "H$mdim' åhUVmo. Ë`mbm H$mhrM H$iV Zmhr, hmo` Zm?''
OJmVrb ^mfm§À`m dJoionUm~X²Xb _r {Vbm gm§JUma VodT>çmV Vr Xþga§ H$mhrVar gm§Jy bmJbr. ""~m~m,
^mobm gm§JV hmoVm H$s, AmH$memV hÎmr gmoS>oZ§ nmUr KmbVmo, åhUyZ nmD g nS>Vmo. ~mB© J§, ^mobm {H$Vr
IwiçmgmaI§ ~mobVmo. ZwgVm ~S>~S> H$aVmo. {XdgamÌ ~S>~S>V AgVmo doS>m.''
`m~m~VrV _mÂ`m hmo Zmhr Mr dmQ> Z ~KVmM Vr AMmZH$ {dMmê$ bmJbr, ""~m~m, AmB© Vw_Mr
H$moU bmJVo?'' _ZmVë`m _ZmV _r åhUmbmo, "gmbr....., _oìhUr.....' nU CKS>nUo åhUmbmo, ""{_Zr, Vy
^mobm~amo~a Ioi Om, _bm AmVm H$m_ H$am`M§`.''
{_ZrÀ`m _Vo H$moU ~S>~S>çm Amho?
(A) Vr ñdV:
(B) {VMo ~m~m
(C) nhmaoH$ar
(D) ^mobm
2. boIH$mbm Amnë`m _wbrbm doiUonUm~X²Xb gm§Jm`Mo hmoVo.
(A) {VÀ`m ~mobÊ`mÀ`m
(B) {VÀ`m nohamdmÀ`m
(C) {d{dY ^mfoÀ`m
(D) {VÀ`m AmB©©À`m dmJÊ`mÀ`m
3. boIH$ AgmdoV.........
(A) d¡km{ZH$
(B) H$WmH$ma
(C) H$m§X~arH$ma
(D) H$dr
4. {_ZmÀ`m ~mobÊ`mda A§Hy$e AmUV.
(A) AmB©
(B) ~m~m
(C) ^mobm
(D) AmË`m
5. {_ZmÀ`m _Vo ^mobm doS>m Amho H$maU........
(A) Vmo H$mH$bm H$mdim Ago åhUVmo.
(B) Vmo {VÀ`m ~amo~a Jßnm _maV Zmhr.
(C) H$mhrhr KS>bobo ZgVmZm Vmo {_Zmda gVV AmoaS>V AgVmo.
(D) {VZo {dMmaboë`m àíZm§Mr Vmo {Vbm Z nQ>Umar CÎmao XoV AgVmo.
AWd©Hw$Umb
278
Odmha ZdmoX¶ {dXçmb¶ - àdoenarjm
1.
CVmam H«$_m§H$ - 4
S>m°. ^m^m ¶m§Mm OÝ‘ ‘w§~B© ¶oWo {X. 30 Am°ŠQ>mo~a 1909 amoOr Pmbm. ˶m§Mo ~mbnU ~§Jbmoabm Jobo.
d¶mÀ¶m 12 ì¶m dfu hm ‘wbJm PmonVM Zmhr åhUyZ S>m°ŠQ>am§Zm XmI{dbo. V|ìhm S>m°ŠQ>a åhUmbo. Vmo A{V
~wpÓ‘mZ Amho åhUyZ ˶mMm ‘|Xÿ gX¡d OmJmM amhVmo. ^m^m ¶m§Zm g§JrV, H$bm, {H«$Ho$Q>Mr {deof AmdS>
hmoVr. n§Yamì¶m dfu {gZr¶a H|${~«OMr narjm CÎmrU© Pmë¶mZ§Va Vo nwT>rb {ejUmgmR>r B§½b§S>bm Jobo.
nrEM.S>r. n¶ªV {ejU KoV AgVmZm Am¶P°H$ ݶyQ>Z {eî¶d¥Îmr, S°>åg nm[aVmo{fH$hr ˶m§Zr {‘i{dbo.
VËH$m{bZ OmJ{VH$ {H$VuMo AUwemók S>m°. éXa’$moS>© d Zrëg ~moha ¶m§Mo Vo AmdS>Vo {dÚmWu hmoVo. ˶m§À¶mM
‘mJ©Xe©ZmImbr ^m^m§Zr AUwemómMm Aä¶mg Ho$bm. Xaå¶mZÀ¶m H$mimV n§S>rV Zohé§Zr ˶m§Zm ^maVmV
¶oʶmMr {dZ§Vr Ho$br. Q>mQ>m§Zr ‘w§~B© ¶oWo ˶m§À¶mgmR>r ‘yb^yV g§emoYZ H|$Ð H$mT>bo. VoWoM ^m^m AIoan¶ªV
H$m¶©aV hmoVo. ¶m ñdXoeào‘r emókmZo nXaoemVyZ Ambobr AZoH$ {Z‘§ÌUo ZmH$mabr. n§S>rV Zohé§Zr ˶m§Zm
‘§Ìr‘§S>imV ~mobmdbo AgVm "‘bm ‘m¶m {df¶mVM H$m‘ H$ê$ Úm.' Ago Z‘«nUo gm§JyZ ˶m§Zr ZH$ma
{Xbm. S>m°. ^m^m ¶m§Zr Amnë¶m H$V¥©ËdmZo AUwjoÌmV ^maVmbm ‘mZmMo ñWmZ {‘idyZ {Xbo. OJmVrb AZoH$
{dÚmnrR>m§Zr S>m°ŠQ>aoQ> XoD$Z ˶m§Mm Jm¡ad Ho$bm hmoVm. ¶m ‘hmZ emókmMm 24 OmZodmar 1966 amoOr Amëßg
nd©VmÀ¶m n[agamV Pmboë¶m {d‘mZ AnKmVmV XþX£dr A§V Pmbm. ^maVmVrb AUweº$s$ {dH$mgm‘ܶo S>m°.
hmo‘r Ohm§Jra ^m^m ¶m§Mo Zmd AJ«H«$‘mZo KoVbo OmVo.
1.S>m°. ^m^m `m§Mo ~mbnU `m R>rH$mUr ì`VrV Pmbo?
(A) H««|§${~«O
(B) _w§~B©
(C) ~§Jbmoa
(D) B§½bS>
2.bhmZnUr hmo_r ^m^m§Mr Amamo½`m~m~V VH«$ma Ago.
(A) OodU H$aV ZgV. (B) A{ZÐm
(C) ZH$mad¥Îmr
(D) AmiernUm
3.ñdXoemV AIoan`ªV S>m°. hmo_r ^m^m ................ `m R>rH$mUro H$m`©aV hmoVo.
(A) _yb^yV g§emoYZ H|$Ð
(B) H|${~«O {dÚmnrR>
(C) B§½b§S>
(D) ~§Jbmoa
4.S>m°. hmo_r ^m^m `m§Zm H$moUË`m JmoîQ>rV AmdS> ZìhVr?
(A) g§emoYZ
(B) AUwemó
(C) amOH$maU
(D) {H«$Ho$Q>
5.S>m°. hmo_r ^m^m `m§À`m H$V¥©ËdmZo ^maV XoemZo H$moUË`m joÌmV àJVr Ho$br?
(A) CÚmoJ
(B) AUweº$s
(C) {H«$Ho$Q>
(D) Amamo½`
CVmam H«$_m§H$ - 5
OÝ_ë`mZ§Va n{hë`m XmoZ dfmªV _yb ^mfm {eH$V AgVo. hr {eH$Ê`mMr à{H«$`m ^mfm EoH$Uo d Vr ~mobUo
`mX²dmao KSy>Z `oVo. ^mfm {eH$Ê`mgmR>r _|XÿVrb d{Z©H$ d ~«moH$mO E[a`m ho ^mJ {dH${gV ìhmdo bmJVmV.
^mfm EoH$Uo d Vr g_OUo `mgmR>r d{Z©H$ ^mJ H$m`©aV hmoVmo. ^mfm ~mobÊ`mgmR>r ~«moH$mO E[a`m V`ma ìhmdm
bmJVmo, VgoM ñZm`y§Mr hmbMmbhr Ver ìhmdr bmJVo. J§_V åhUOo d{Z©H$ hm ^mJ ~«moH$mO E[a`mÀ`m AmYr
{dH${gV hmoVmo. d{Z©H$ ^mJmMm Iam {dH$mg KSy>Z `oVmo Vmo OÝ_ë`mZ§Va n{hë`m dfm©V. åhUyZ ~mbH$mbm
^mfm ~mobVm `oÊ`mAmYr Vr ~è`mM à_mUmV g_Oy bmJbobr AgVo. Ë`m_wio OÝ_ë`mZ§Va `m n{hë`m XmoZ
dfmªV, OmñVrV OmñV eãX _moR>çm§H$Sy>Z ~mobbo Joë`mg d ~mimH$Sy>Z EoH$bo Joë`mg ~mbH$mÀ`m ^mfoMm
{dH$mg Mm§Jë`m àH$mao hmoD eH$Vmo.
1.àma§^rÀ`m H$mimV _wbmMr ^mfm {dH${gV hmoÊ`mMr n{hbr nm`ar Amho -
(A) EoH$Uo
(B) dmMUo
(C) nmhUo
(D) ~mobUo
AWd©Hw$Umb
282
Odmha ZdmoX¶ {dXçmb¶ - àdoenarjm
CVmam H«$_m§H$ - 70 (2020)
VaVarV Am{U Amamo½¶g§nÞ amhʶmH$[aVm, Vwåhmbm emar[aH$ Ñï>rZo gH«$s¶ amhʶmMr Amdí¶H$Vm Amho.
{Z¶{‘V emar[aH$ g{H«$¶Vm Vwåhmbm bÇ>nUm, öX¶{dH$ma, H$H©$amoJ, ‘mZ{gH$ AmOma, ‘Yw‘oh Am{U gm§YoXþIr
¶m§gma»¶m J§^ra amoJm§nmgyZ g§ajU XoVo. {Z¶{‘VnUo gm¶H$b MmbdUo ho ‘aJiboë¶m OrdZe¡brÀ¶m
g‘ñ¶m§er g§~§{YV Aem AZoH$ ~m~ter Vw‘Mm YmoH$m H$‘r H$aʶmg Vwåhmbm ‘XV H$ê$ eH$Vo. gm¶H$b
MmbdUo hm Amamo½¶nyU©, H$‘r AmKmV H$aUmam ì¶m¶m‘ àH$ma Amho Am{U ˶mMm AmZ§X bhmZ ‘wbm§nmgyZ
d¥Õm§n¶ªV gd© d¶mÀ¶m bmoH$m§Zm KoVm ¶oVmo. Vmo ‘OoXma, ñdñV Am{U n¶m©daUmÀ¶m Ñï>rZohr Mm§Jbm Amho.
H$m‘mÀ¶m {R>H$mUr AWdm XþH$mZmV gm¶H$b MmbdV OmUo hm XoIrb {Z¶{‘V ì¶m¶m‘ Am{U amoOMm {XZH«$‘
¶m§Zm OmoS>ʶmMm EH$ gdm©V doi dmMdUmam ‘mJ© Amho. gmYmaUnUo EH$ Xebj bmoH$ àdmg ‘Zmoa§OZ Am{U
Ioi ¶m§gmR>r gm¶H$b MmbdVmV Agm A§XmO Amho. gm¶H$b MmbdUo hm dOZ KQ>dʶmMm CÎm‘ ‘mJ©
Amho. H$maU ˶m‘wio ñZm¶y g§K{R>V hmoVmV Am{U Ma~r OiyZ OmVo. g§emoYZ Ago gwMdVo H$s amoO AYm©
Vmg gm¶H$b Mmbdë¶mZo AmnU df©^amV {H$‘mZ nmM {H$bmo dOZ KQ>dy eH$Vmo.
1.
2.
3.
4.
5.
326
¶m CVmè¶mMm ‘w»¶ CÔoí¶ Amho Amnë¶mbm ’$m¶Xo gm§JUo:
(A) Amamo½¶nyU© amhʶmMo
(B) gm¶H$b MmbdʶmMo
(C) ì¶m¶m‘mMo
(D) dOZ H$‘r H$aʶmMo
Ooìhm boIH$ åhUVmo,"gm¶H$b MmbdUo ho n¶m©daUmÀ¶m Ñï>rZohr Mm§Jbo Amho', Voìhm Imbrbn¡H$s H$moUVo
g˶ Zmhr?
(A) gm¶H$b Hw$R>bohr AZmamo½¶H$maH$ dm¶y gmoS>V Zmhr.
(B) Vr noQ´>mob qH$dm {S>Pob ¶m§{dZm MmbVo.
(C) Vr hdobm àXÿ{fV H$aV Zmhr.
(D) Vr gd© d¶mÀ¶m ‘mUgm§Zm MmbdVm ¶oVo.
"‘aJiboë¶m' ¶m eãXmÀ¶m {dê$ÕmWu eãX Amho:
(A) gH«$s¶
(B) Amier
(C) {H«$¶meyݶ
(D) H$m‘mbm Ow§nbobm
H$‘r AmKmV H$aUmam ì¶m¶m‘ åhUOo Agm ì¶m¶m‘ H$s Omo:
(A) X‘dUmam Zgob (B) ‘hmJ Zgob
(C) H$m¶©j‘ Zgob
(D) H§$Q>mUdmUm Zgob
{Z¶{‘V gm¶H$b MmbdUo Amnë¶mbm Imbrb gmoSy>Z gdmª‘ܶo ‘XV H$aVmo.
(A) Ma~r H$‘r H$aUo Am{U ñZm¶y ~iH$Q> H$aUo
(B) H$m‘ Am{U J§‘V ¶m§Mr gm§JS> KmbVmo
(C) J§^ra AnKmV Q>miUo>
(D) Amamo½¶nyU© amhUo
Odmha ZdmoX¶ {dXçmb¶ - àdoenarjm
AWd©Hw$Umb
_amR>r CÎmagwMr
CVmam
àíZ
HǤ$. 1
àíZ
HǤ$. 2
àíZ
HǤ$. 3
àíZ
HǤ$. 4
àíZ
HǤ$. 5
01
C
D
C
B
A
02
A
D
D
B
03
D
A
B
04
C
B
05
A
06
07
08
09
10
11
12
13
CVmam
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àíZ
HǤ$. 6
àíZ
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àíZ
HǤ$. 4
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36
C
D
C
B
D
B
37
D
B
B
B
B
D
A
38
B
A
A
B
C
A
C
B
39
D
B
D
A
C
D
C
D
B
40
A
A
C
A
B
C
B
A
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41
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C
C
D
D
B
D
B
A
D
42
A
B
D
B
D
B
A
A
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43
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A
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D
A
B
D
C
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44
B
C
C
B
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D
C
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45
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D
A
B
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46
B
D
C
B
A
D
A
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47
A
B
C
B
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A
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48
A
A
B
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14
B
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49
A
D
B
D
C
15
C
A
C
C
B
50
D
B
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A
16
C
D
A
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51
C
C
D
A
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17
D
B
A
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A
52
C
D
C
A
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18
B
C
D
A
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53
A
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B
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19
B
A
C
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54
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A
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B
A
20
A
C
D
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55
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B
D
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21
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D
A
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56
A
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B
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D
22
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57
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23
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A
D
B
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58
B
D
B
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24
A
D
C
B
A
59
D
B
D
C
A
25
C
B
A
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60
D
C
D
A
D
26
D
A
C
D
C
61
B
D
B
D
A
27
D
A
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C
A
62
B
C
D
A
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28
D
C
A
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63
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D
29
B
C
A
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D
64
B
A
C
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30
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65
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C
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31
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C
D
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66
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A
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32
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67
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33
D
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68
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34
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D
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69
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35
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70
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{d^mJ - ^mfm
327
¶m {R>H$mUr H$mJX H$mnm
lo`er àH$meZ
gamd H«$_m§H$ : 1
(343)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
B
C
D
B
A
C
D
B
D
A
A
B
B
B
D
A
C
C
D
B
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
A
C
A
C
B
C
B
A
D
C
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B
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A
B
A
D
D
A
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
B
C
D
B
C
B
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A
B
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B
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A
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C
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D
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
B
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1.
2.
3.
4.
16.
17.
19.
20.
ñnîQ>rH$aU
B n¶m©¶mVrb AmH¥$Vr Mm¡agmH¥$Vr Amho.
JmobMm {damoYr ^mJ aoIm§H§ $sV Amho. C n¶m©¶mV Vgo Zmhr.
D AmH¥$Vr gai Ho$br AgVm {VÀ¶m COì¶m H$mZmV
[a¨J Amho. BVam§À¶m S>mì¶m H$mZmV Amho.
~mU d AY©dVwi
© ¶m§À¶m‘ܶo ’w$br Amho. B n¶m©¶mV
‘moR>çm ^mJmV ’w$br Amho.
5 aoIm, 4 aoIm, 3 aoIm åhUyZ nwT>rb AmH¥$Vr 2 aoIm§Mr
Agob.
ghm aoImI§S>mnmgyZ AmH¥$Vr d Mma ^mJ V¶ma Pmbobo
AmhoV. åhUyZ nwT>rb AmH¥$Vr gmV aoImI§S>mnmgyZ d
Mma ^mJ hmoUmar AgUma.
bhmZ ^mJ Amho VoWoM. ‘Yë¶m AmH¥$VrMr Amagr
à{V‘m. Jmob Cä¶m aofoV.
n{hë¶m nXmVrb EH$ ^mJ H$mTy>Z ZdrZ Aja V¶ma
Pmbobo Amho.
34.
41.
42.
43.
44.
45.
47.
48.
49.
50.
51.
52.
bhmZmV bhmZ g§»¶m 2034 åhUyZ 9000 - 2034 = 6966
2, 3, 5, 7 Mm bgm{d = 210 :: ~mH$s 1 åhUyZ 210
+ 1 = 211 :: 211 g§»¶m hmoʶmgmR>r 211 - 120 = 91
bhmZ Imo³¶mMo KZ’$i = 4  6  3 = 72 Kgo‘r
‘moR>çm Imo³¶mMo KZ’$i = 8  12  9 = 864 Kgo‘r
åhUyZ 864  72 = 12
n[a{‘Vr = 2 (40 + 25) = 130 ‘r.
añVm gmoS>y Z am{hbobr n[a{‘Vr = 130 - 2 = 128 ‘r.
bmJUmar Vma = 128  4 = 512 ‘r.
46.
(344)
53.
54.
55.
56.
57.
58.
59.
60.
73.
(x - 1425)  17 = 123
(x - 1425) = 123  17
x = 2091 + 1425 = 3516
40 {‘{ZQ>mV nma Ho$bobo A§Va = 200  40/100 =
80 {H$‘r :: 40 {‘{ZQ>mV 80 {H$‘r åhUyZ 80/40 =
j/60 :: j = 120
gaiì¶mO = (4800  13/2  35/4)  100
= (6  13  35) = 2730
(308 - 238)/j = (10 + 15)/100
70/j = 25/100 :: j = 280 qH$dm
100 ê$n¶m§Zm 25 Mm ’$aH$ Va {H$Vr ê$n¶m§Zm 70 ’$aH$
25/100 = 70/j :: j = 280
Oa gm{h˶ 100 ê$n¶m§Mo AmUbo Va ‘Owar 28 åhUOoM
EHy$U IM© 128 hmoBb© .
28/128 = j/38016 :: j = 28/128  38016
:: j = 28  297 = 8316
Aä¶mgmMm H$mbmdYr 2:50 - 1:00 = 1:50
nmR>m§VamMr doi = 1:50 - (0:40 + 0:45)
= 1:50 - 1:25 = 0:25
àVr Mma ZJmMr qH$‘V = 15 + 9 + 34 = 58
:: àVr EH$ ZJmMr qH$‘V = 58  4 = 14.5
d{ZVmH$S>o j a¸$‘ ‘mZy :: åhUyZ em{bZrH$S>rb a¸$‘=
j/3 :: j + j/3 = 275 :: 4j/3 = 275
:: 4j = 825 :: j = 206.25
5  16 = 4j :: j = 20 A{V[aº$ H$mbmdYr =
20 - 16 = 4
n{hë¶m 50 {H$‘r gmR>r < 400 ^mS>o åhUyZ OmXmMo
{H$‘rMo ^mS>o = 940 - 400 = 540 :: OmXmMo {H$‘r
= 540/12 = 45 EHy$U {H$‘r 50 + 45 = 95
2.850  17/100 = 0.4845
4 + 16 + 64 = 84
N>moQ>r g§»¶m = (265-15)2 = 250 / 2 = 125
2.5  0.83 = 2.075
jU d H$mi
Odmha ZdmoX¶ {dÚmb¶ àdoenarjm - gamd àíZn{ÌH$m AWd©Hw$Umb