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DISTRICT COMMON EXAMINATION BOARD

PRE-FINAL EXAMINATIONS,2015(PRACTICE PAPER)

MATHEMATICS - PAPER - I

(URDU VERSION)

Class: X ( Marks: 40 ) Time:2 .45min.

ÆÓxÎZÑ]i™,X XÎZD6,pÆeg~V 1 ¬x@Zc*]:X~ŠZ½�ŠwŠc*ŠHìX IIIœ XÜs 2

ÆÎZßVÆ�Z[Ì�Z!Òn~„KX IV Xv 3

X¬Gg{4~ÎZD6,p»_·̈gЙ,XCÙÎZwÃZh§b 4

]~�Z!*]KX 2.30 −Zkƈ!*¹Section - I

7x1=7 XfsÆÓxÎZßVÆ�Z[Š£X 1 @Zc*]:XXCÙÎZwÆaZq-�–HŠHìX 2

ÅŠg¥x<X log 729 X1

µ9Z°ZŠ»ù·¥x<X 30 X¬ 2

Ðåîg6,„ƒ@*ì? (x-2) , x3 - 3x2 + 4x + k ÅŠg¥x<² k X3

kHÆA$eñ� 7 z,gÁ» 7 kH)z~ì 11 zZVgÁ 11 XZ¤/ˆ!£°» 4

zZVgÁ#ƒÇ? 18

ëâìc*7? C(4,6) Zzg B(-2,-3), A(2,3) Xe��Š�‰&B3}éEG] 5

XÃðZq-Mg0É™&ÎZÑ]¯�X 6

HƒÇ? Šz)œukƒV B Zzg A XZ¤/ 7

Section - II

6x2=12 XÓxÎZßVÃi<X 1 @Ze$:X¶K**]–�X 2 XCÙÎZwÆa 2

ìX Zzg XMg0Å)zZ]¥x<XÆg3V»ù·ZzgqÝ¢[F,KMzZg 8

ZkâþÚ~ (-4,6) Ã̀ B(3,-8) Zzg A(,10) XZq-âÃ5äzZáÕo 9

„™@*ì?

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-2- x-m1

£°»gÁì?Yõ< 68 ˆ!£°Æe~H 3, 7, 13, .. . . . . . . . X10

%,¢aìö^»îwZkƲnÆŠuÐZq- 528 XZq-!k3‹5ÐöG

Gö^»gK 11

ic*Š{ìXA$ö^»îwZzg²n¥x<X

Zq-)**ê°Šì? XU*"$<� 12

z+ { ÆZbZñ¢! 63 } = B Zzg { ÆZbZñ¢! 24 } = A XŠc*ŠHì� 13

¥x<X Zzg ZDwÆfg)

Section-III

4x4=16 XŠZ½�ŠwŠc*ŠHìX 1 â^:X

XCÙÎZwÆaeg¶K**]–�X 2

¥x log144 Zzg log6 ƒA$ log3=0.4771 Zzg log2=0.3010 Z¤/(i) (aX14

<X

Ôn(A) ƒA$ { ÐÁ¤tZ°ZŠ 10}=B Zzg { ÐÁGŠZ°ZŠ 10}=A Z¤/ (ii)

¥x<X Zzg n(AUB), n(B)

( c* )

Š~ˆ)zZÂVÃi<X (b

Zzg (2,8) (3,-5), (2,3) Zq-egV»gK¥x<TÆ&B3}éEG]!*nKM (aX15

( c* ) �X (1,-4)

Yõ<�øDfs)zZ]ŠzŠgY�c*7? (b

= 2 (i)

( x + 3 )3 = 4( x -1 ) + 21 (ii)

(x+y)(2x+1) = x(x+5) (iii)

x2 + 3x+1 = (x-2)2

(iv)

ÅF,®UZzgZyÆ#¥x<X P(x) = x2 - 2x + 8 Mg0 (aX16

Turnover] ( c* )

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-3- x-m1

3x - 2y = 8 Zzg 2x - 3y = 6 fsÅ)zZ]ÅF,®UX (b

gz9¶Zzg 15000 Y~5i#ÖÐaŠHTz‰ÜZm9Z{ 2000 ZÅ‚w (aX17

gz9ƈ[Ð9Z{~ZŸ†ƒA$¾‚wZÅÅ9Z{ 500 Z¤/‚Ñ:

( c* ) gz9ƒÏ? 30000

Šy~™Mh 6 %Š»xÅ)z~&¢Agnp�Zzgz{Zq-»xà 3 úg'Zzg 5 (b

Šy~™D� 9 úg')z~&¢AgppzZáZq-»xà 3 %ŠZzg 3 �Zzg

A$e��Zq-%ŠZzgZq-úg]Zk»xÃÄŠy~å™Mh�?

Section-IV

10x1/2=5 XÓxÎZÑ]Æ�Z[Š£X 1 â^:X

XÓx�Z!*]Ã�Z!Òn~Zq-„(sX 2

[ ] Å£g~̂XXXXXXXìX 26

x 55

X18

2.0x105 (D 20x1010 (C 200000 (B 64x3225 (A

[ ] A$Zy~Ã̈K™ŠtìX A = { 1,2{1}{1,2}3,4 } XZ¤/ 19

Zy~ÐÃð7 (D {1,2} A (C {1,3} A (B {3} A (A

[ ] »#XXXXXXìX P(x)=ax+b Õ�20

(D (C (B (A

[ ] ÅŠgXXXìX x ƒA$ y = 5 Zzg 7x+y=26 XZ¤/ 21

0 (D 1 (C 2 (B 3 (A

[ ] ìXZm)zZ]sX 10 XZq-°ŠZzgZn½[»ù· 22

(B (A

(D (C

[ ] Æg8ÅâÎXXXìX 4x + 6x - 1 XŠzŠgY)zZ] 23

ÇZzgZ (D ÇZzg¦[ (C ÇZzg)z~ (B )Ç (A

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-4- x-m1

[ ] ¾£°ÅVwì 5, 0.5, 0.05, 0.005, _ _ _ _ X24

ÃðÌ7 (D ææ~£° (C ;gñ㣰 (B ˆ!£° (A

[ ] XøDfsÃ7,#X 25

c* (i)

(ii)

(iii)

Zy~ÐÃ̈KÒy»f[ì? A$ Zzg Z¤/(iv)

iii, ii (D iv, iii (C ii, i (B iii, i (A

[ ] µ9Z°ZŠ»ù·HƒÇ? 100 @*1 X26

6505 (D 550 (C 1010 (B 5050 (A

q݃@*ìÔZkÒyÅ)zZ]sX 15 ¸&™ä6, 4 kH~ 3 XË°ŠÆ 27

[ ] 3x-4=15 (B 3x+4=15(A

3x2- 4 =15 (D 3x2+ 4 = 15 (C

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