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52. P Am¡a Q H«$‘e… 50 Am¡a 20 {XZm| ‘| EH$ H$m¶© nyam H$a gH$Vo h¢& ¶{X do EH$ gmW H$m‘ H$ao Vmo {H$VZo {XZm| ‘| do 70% H$m¶© nyam H$a|Jo?(1) 20 {XZ (2) 30 {XZ(3) 40 {XZ (4) 10 {XZCÎma (4) 10 {XZì¶m»¶m àíZmZwgma,

(P + Q) {‘bH$a H$m‘ nyam H$a|Jo 50 2050 20#= +

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7100

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53. EH$ ~oB©‘mZ XÿYdmbm <24 à{V brQ>a ‘| XÿY IarXVm h¡ Am¡a Cg‘| 31 nmZr

S>mbH$a {‘lU H$mo <32 à{V brQ>a Ho$ {hgm~ go ~oM XoVm h¡& CgH$m bm^ {H$VZm hmoJm?(1) 33.33 à{VeV (2) 50 à{VeV(3) 77.78 à{VeV (4) 66.67 à{VeVCÎma (3) 77.78 à{VeVì¶m»¶m àíZmZwgma,

1 brQ>a XÿY H$m H«$¶ ‘yë¶ = <24

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54. EH$ ~¢H$ AÕ©dm{f©H$ ê$n go 15% MH«$d¥{Õ ã¶mO H$s noeH$e H$aVm h¡& EH$ J«mhH$ EH$ df© ‘| 1 OZdar Am¡a 1 OwbmB© H$mo <7200 O‘m H$aVm h¡& df© Ho$ A§V ‘| ã¶mO Ho$ ‘mܶ‘ go Cgo {H$VZr am{e H$m bm^ hmoJm?(1) <6803 (2) <3402(3) <1701 (4) <850CÎma (2) <3402ì¶m»¶m àíZmZwgma,

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55. Cg Ho$ÝÐr¶ H$moU H$m ‘mn ³¶m hmoJm, {OgH$m joÌ’$b 462 dJ© go‘r. h¡ Am¡a d¥Îm H$s {ÌÁ¶m 21 go‘r. h¡?(1) 90c (2) 60c(3) 30c (4) 120cCÎma (4) 120cì¶m»¶m àíZmZwgma,

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56. ((

sinsinAA

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+-

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57. ( )a b c2

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a b c2

4 8 14 22 + + + ( )a b c

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58. ( )( )x x9 6 4+ - ‘| x2 H$m JwUm§H$ ³¶m h¡?(1) 54 (2) 4-(3) 30- (4) 4CÎma (2) 4-ì¶m»¶m àíZmZwgma,

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4 62 2+ 16 36= + 52=

60. cot 35p H$m ‘mZ ³¶m h¡?

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61. ¶{X 9% H$s Ny>Q> {‘bZo Ho$ ~mX {~H«$s ‘yë¶ <728 h¡, Vmo CgH$s {MpÝhV H$s‘V ³¶m Wr?(1) <793.52 (2) <800(3) <662.48 (4) <667CÎma (2) <800ì¶m»¶m ‘mZm {H$ {MpÝhV H$s‘V x= h¡&

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62. EH$ Zha H$s AZwàñW H$mQ> EH$ g‘{Û~mhþ g‘bå~ Ho$ AmH$ma ‘| h¡, {OgHo$ Vb H$s Mm¡‹S>mB© 3 ‘r. Am¡a D$na Ho$ {gao H$s Mm¡‹S>mB© 5 ‘r. h¡& ¶{X Cg Zha H$s JhamB© 2 ‘r. h¡ Am¡a b§~mB© 110 ‘r. h¡, Vmo Bg Zha H$s A{YH$V‘ Ym[aVm ³¶m

h¡? ( 722p = br{O¶o)

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AZwàñW H$mQ> g‘bå~ H$m joÌ’$b

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63. Xmo H$ma| H«$‘e… 24 Am¡a 32 {H$‘r./K§Q>m H$r J{V go eha A go eha B VH$ ¶mÌm H$aVr h¢& EH$ H$ma ¶mÌm Ho$ {bE Xÿgar H$ma H$s VwbZm ‘| 2.5 K§Q>m H$‘ g‘¶ boVr h¡, Vmo eha A go eha B Ho$ ~rM H$s Xÿar {H$VZr hmoJr?(1) 288 {H$‘r. (2) 360 {H$‘r.(3) 240 {H$‘r. (4) 192 {H$‘r.CÎma (3) 240 {H$‘r.ì¶m»¶m ‘mZm {H$ eha A VWm B Ho$ ~rM H$s Xÿar d= ‘r. h¡&

Vmo, d d24 32- .2 5=

d d96

4 3- .2 5=

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àíZmZwgma,

xx

5 117 11

++ 3

4=

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65. do Xmo H«$‘mJV àmH¥${VH$ g§»¶mE± ³¶m h¢, {OZHo$ dJmoª H$m ¶moJ 25 h¡?(1) 2, 3 (2) 3, 4(3) 4, 5 (4) 1, 4CÎma (2) 3, 4ì¶m»¶m ‘mZm Xmo H«$‘mJV àmH¥${VH$ g§»¶mE± H«$‘e… x d ( )x 1+ h¡&

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66. AOha ~bamO go 4 JwUm A{YH$ AÀN>m H$‘©Mmar h¡ Am¡a Bgr H$maÊm dh EH$ H$m‘ Cggo 45 {XZ H$‘ ‘| nyam H$a gH$Vm h¡, XmoZm| gmW {‘bH$a dh H$m‘ {H$VZo {XZ ‘| H$a|Jo?(1) 6 {XZ (2) 18 {XZ(3) 24 {XZ (4) 12 {XZCÎma (4) 12 {XZì¶m»¶m ‘mZm ~bamO H$m¶© nyam H$a gH$Vm h¡ x4= {XZ

AOha H$m¶© nyam H$a gH$Vm h¡ x= {XZ

àíZmZwgma, x x4 - 45= x3 45= x 15=

XmoZm| {‘bH$a H$m¶© H$a gH$Vo h¡ 15 6015 60#= +

7515 60#= 12= {XZ

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67. 89 go nyar Vah go {d^mÁ¶ hmooZo dmbr 5 A§H$m| H$s A{YH$V‘ g§»¶m H$m¡Zgr h¡?(1) 99947 (2) 99940(3) 99938 (4) 99939CÎma (1) 99947ì¶m»¶m àíZmZwgma,

5 A§H$mo H$s A{YH$V‘ g§»¶m 99999=

89 go {d^m{OV hmoZo dmbr 5 A§H$mo H$s A{YH$V‘ g§»¶m 99999 52= - 99947=

68. {H$gr ‘ybYZ na ¶{X Xmo dfm] H$m gmYmaU ã¶mO <2800 Am¡a MH«$d¥{Õ ã¶mO <2996 h¢, Vmo ã¶mO Xa {H$VZr h¡?

(1) 14 à{VeV (2) 7 à{VeV(3) 28 à{VeV (4) 21 à{VeV

CÎma (1) 14 à{VeVì¶m»¶m àíZmZwgma,

1 df© H$m . .S I 22800 1400= =

.CI SI- 2996 2800 196= - =

AWm©V² 1400 H$m 1 df© gm. ã¶mO 196= (Xygao df© ‘| ã¶mO H$m ã¶mO)

AV…$ Xa ‘y. g‘¶ã¶mO 100

##= %1400 1

196 100 14#

#= =

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69. Cg d¥Îm H$s {ÌÁ¶m H$m nVm bJmE§, AJa CgHo$ joÌ’$b H$m joÌ’$b 30.8 dJ© go‘r. h¡ Am¡a {OgH$m g§~§{YV Ho$ÝÐr¶ H$moU 72c h¡?(1) 3.5 go‘r. (2) 7 go‘r.(3) 14 go‘r. (4) 10.5 go‘r.CÎma (2) 7 go‘r.ì¶m»¶m àíZmZwgma,

{ÌÁ¶m I§S> H$m joÌ’$b r3602

#q p=

.30 8 r36072

722 2

# #=

AV…$ r 7 7#= 7= go‘r.

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70. .......... ‘| H«$‘mJV H$moU Ho$ H$‘-go-H$‘ Xmo Omo‹S>o AZwê$n hmoVo h¢&(1) g‘mÝVa MVw^w©O (2) g‘{Û~mhþ g‘bå~(3) g‘ MVw^w©O (4) nV§JCÎma (2) g‘{Û~mhþ g‘bå~ì¶m»¶m àíZmZwgma,

aoIm{MÌ ItMZo na,

g‘{Û~mhþ g‘b§~ MVw^©O ‘|,

| |AB CD ; AD BC= : AC BD=

BgHo$ AmYma na H$moU g‘mZ hmoVo h¢&AWm©V² A+ B+= ; C+ D+= A D+ ++ B C+ += + 180c=

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a b2 2+ ( )a b ab22= - + ( )11 2 242

#= + 121 48= + 169=

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72. ¶{X EH$ XþH$mZXma <960 ‘| EH$ dñVw ~oMVm h¡, Omo <1200 Ho$ ê$n ‘| {MpÝhV h¡, Vmo dh {H$VZo Ny>Q> H$s noeH$e H$a ahm h¡?(1) 25 à{VeV (2) 12 à{VeV(3) 20 à{VeV (4) 28 à{VeVCÎma (3) 20 à{VeVì¶m»¶m àíZmZwgma,

Ny>Q> ( )1200 960= - <240=

¶{X Ny>Q> H$s Xa %x= hmo Vmo, 1200 H$m %x 240=

x100

1200# 240=

x12 240=

x 12240= %20=

73. 58 Am¡a 68 Ho$ ~rM H$s g^r A{d^mÁ¶ g§»¶mAm| H$m ¶moJ ³¶m h¡?(1) 179 (2) 178(3) 187 (4) 183CÎma (3) 187ì¶m»¶m àíZmZwgma

58 Am¡a 68 Ho$ ~rM A{d^mÁ¶ g§»¶mAm| H$m ¶moJ 59 61 67= + + 187=

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74. 5 go‘r. H$s D±$MmB© Am¡a 4 go‘r. H$s {ÌÁ¶m dmbm EH$ ~obZmH$ma ~V©Z nyar Vah aoV go ^am h¡& O~ Bg aoV H$mo C‹S>obm OmVm h¡, Vmo ¶h 6 go‘r. {ÌÁ¶m dmbo EH$ g‘H$moU d¥Îmr¶ e§Hw$ H$m AmH$ma bo boVr h¡, Vmo Bg e§Hw$ H$s D±$MmB© ³¶m hmoJr?

br {O¶o722p =b l

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~obZmH$ma ~V©Z ‘| aoV H$m Am¶VZ r h2p = ( )4 52

# #p = KZ go‘r. 80 p = >KZ go‘r. e§Hw$Zw‘m AmH$ma H$m Am¶VZ 80p = KZ go‘r.

r h31 2p 80p =

h31 6 6# # # 80=

h12 80=

h 1280= .6 67= go‘r.

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75. EH$ Am‘u H$s ^Vu à{H«$¶m ‘|, M¶{ZV Am¡a AM¶{ZV Aä¶{W©¶m| H$m AZwnmV 4 … 1 Wm& ¶{X 90 H$‘ Zo AmdoXZ {H$¶m hmoVm Am¡a 20 H$‘ M¶{ZV hmoVo, Vmo M¶{ZV Am¡a AM¶{ZV H$m AZwnmV 5 … 1 hmoVm& {H$VZo Aä¶{W©¶m| Zo à{H«$¶m Ho$ {bE AmdoXZ {H$¶m Wm?(1) 1650 (2) 3300(3) 825 (4) 4950CÎma (1) 1650ì¶m»¶m ‘mZm, M¶{ZV Aä¶Wu x4=

AM¶{ZV Aä¶Wu x=

àíZmZwgma,

Xÿgar {ñW{V ‘|, AmdoXH$ x5 90= - M¶{ZV Aä¶Wu x4 20= - AM¶{ZV Aä¶Wu x x5 90 4 20= - - + x 70= -

AV… xx

704 20

-- 1

5=

x5 350- x4 20= - x x5 4- 350 20= - x 330=AV… AmdoXH$m| H$s A^rîQ> g§»¶m x5= 5 330#= 1650=

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76. ~hZ 25 K§Q>o ‘| 50 Ho$H$ ~Zm gH$Vr h¡& ~hZ Am¡a ‘m± gmW {‘bH$a 15 K§Q>o ‘| 75 Ho$H$ ~Zm gH$Vr h¢& ‘m± 15 K§Q>o ‘| {H$VZo Ho$H$ ~Zm gH$Vr h¢?(1) 25 (2) 45(3) 20 (4) 10CÎma (2) 45ì¶m»¶m àíZmZwgma,

~hZ Ûmam 1 K§Q>o ‘| ~ZmE JE Ho$H$m| H$s g§»¶m 2550= 2=

‘m±+~hZ Ûmam 1 K§Q>m ‘| ~ZmE JE Ho$H$m| H$s g§»¶m,

1575= 5=

‘m± Ûmam 1 K§Q>m ‘| ~ZmE JE Ho$H$m| H$s g§»¶m 5 2= - 3= ‘m± Ûmam 15 K§Q>o ‘| ~ZmE JE Ho$H$m| H$s g§»¶m 3 15#= 45=

77. 7 Ho$ àW‘ 10 JwUm§H$m| H$m ‘mܶ ³¶m hmoJm?(1) 35.0 (2) 36.5(3) 38.5 (4) 39.2CÎma (3) 38.5ì¶m»¶m àíZmZwgma,

7 Ho$ àW‘ 10 JwUm§H$m| H$m ¶moJ .....7 14 70= + + + 385=

AV… ‘mܶ .10385 38 5= =

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78. {ZåZ{b{IV Am±H$‹S>m| Ho$ ‘mܶ kmV H$a|-

àmá A§H$ 10 15 20 25 30

{dÚm{W©¶m| H$s g§»¶m 4 6 3 2 5

(1) 19.5 (2) 20.5(3) 17.5 (4) BZ‘| go H$moB© ZhtCÎma (1) 19.5ì¶m»¶m àíZmZwgma,

àmá A§H$ {dÚm{W©¶m| H$s g§»¶m x fi i

10 4 40

15 6 90

20 3 60

25 2 50

30 5 150

f 20iS = f x 390i iS =

A^rîQ> ‘mܶ, x ff xi

i i

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80. {ZåZ{b{IV AdJuH¥$V Am±H$‹S>m| H$s ‘mpܶH$m kmV H$a|-18, 13, 17, 12, 16, 19

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