class 8 imo 5 years ebook

8/19/2019 Class 8 Imo 5 Years EBook

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SJC]DFB D 1 @FIDCO@ UJOSFBDBI

?. ]gj squorj td`js idvjb gjrj orj orrobijm tf sgfw o pottjrb.

Stoij ? Stoij 5 Stoij 3 Stoij =

Ygdcg jxprjssdfb cob ej usjm tf mjtjrndbj tgj bunejr fh

squorj td`js db Stoij b6

(O) =b + 3 (E) :b + 5 (C) b 5 + 8 (M) b 3 + 8

5. Ygdcg fh tgj hf``fwdbi hdiurjs cfnjs bjxt db tgj idvjb pottjrb 6

VVVV6

(O) (E) (C) (M)

3. Db o cjrtodb cfmj DBOC]DXJ ds wrdttjb os XD]COBDJ. Gfw ds O@DIO]FU wrdttjb db tgot cfmj 6

(O) UF]OID@O (E) UF]OIOD@ (C) UF]OID@J (M) F]OID@OU

=. Dh 'eot' ds 'rocljt', 'rocljt' ds 'hffteo``', 'hffteo``' ds 'sgutt`j', 'sgutt`j' ds 'ùmf' obm 'ùmf' ds 'corrfn',

wgot ds crdcljt pòyjm wdtg 6

(O) Uocljt (E) Hffteo` ̀ (C) Eot (M) Sgutt`j

:. Sgdvobd sow tgj rjstourobt sdib sgfwb ej`fw.

Noboijr's Spjcdo`

Cgffsj ? nodb mdsg, ? sdmj mdsg, obm ? erjom hfr 77;. k

Nodb Mdsg

Njot `foh

Cgdcljb-hrdjm stjol

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Cfrb

EjobsNosgjm pftotfjsNocorfbd & Cgjjsj

Erjom

Mdbbjr rf``

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Gfw noby mdhhjrjbt cfnedbotdfbs orj pfssde`j dh Sgdvobd euys tgj Noboijr's spjcdo` 6

(O) 7 (E) ?8 (C) 5= (M) ??

8. Db tgj sjrdjs 8 = ? 5 5 7 9 = 5 ? : 3 7 8 5 ? 9 ? = ? 3 5 7, gfw noby podrs fh succjssdvj bunejrs

govj o mdhhjrjbcj fh 5 jocg 6

(O) Hfur (E) Hdvj (C) Sdx (M) Sjvjb

9. ]gds Xjbb mdoiron ds usjm tf còssdhy cfubtdbi bunejrs occfrmdbi tf o sjt fh ru`js.

Ygdcg fbj fh tgj hf``fwdbi bunejrs ej`fbis db tgj rjidfb fh tgj

mdoiron norljm ey tgj qujstdfb norl 6

(O) =:

35=

57

7

?8 ?5

8

4

3

?:6

5;

:

5:

?;

3:(E) :;

(C) 8;

(M) 8:

7. Dh yfu cut fut obm hf`m tgj pottjrb sgfwb fb tgj rdigt tf nolj o cuej,? 5 3 =

:

8wgdcg `jttjr wd`` ej fb tgj hocj fh tgj cuej fppfsdtj tgj hocj òej``jm 3 6

(O) 5 (E) ? (C) : (M) 8

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13/71

3 =tg DNF | @jvj`-D | Còss 7

4. ]gj idvjb cgort sgfws gfw nucg tgj [orty gfusj cgorijs hfr pdzzo Bunejr fh[jfp`j Cfst

k ?5::

7

?5

5;

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k ?8;

k5;;

portdjs hfr mdhhjrjbt bunejr fh pjfp`j.

Dh b stobms hfr tgj bunejr fh pjfp`j obm C stobms hfr tgj cfst db

,

wgdcg jquotdfb rjprjsjbts tgj dbhfrnotdfb db tgj cgort6

(O) C > :b + ?;; (E) C > b + =:

(C) C > :b + =; (M) C > 5b + 3:

?;. Ygdcg ds tgj tfp vdjw fh tgj prdsn6

(O) (E) (C) (M)

??. ]gj idvjb qujstdfb cfbsdsts fh hfur hdiurjs ?, 5, 3 obm = co``jm tgj [rfe`jn Sjt. ]gjrj ds o mjhdbdtjrjòtdfbsgdp ejtwjjb hdiurjs ? obm 5. Jstoe`dsg o sdndòr rjòtdfbsgdp ejtwjjb hdiurjs 3 obm = ey

sj`jctdbi o sudtoe`j hdiurj hrfn tgj fptdfbs tgot wfu`m rjpòcj tgj qujstdfb norl (6) db hdi. (=).

6

? 5 3 =

[rfe`jn Sjt

(O) (E) (C) (M)

?5. Ygdcg bunejr wfu`m rjpòcj tgj qujstdfb norl db tgj sjrdjs 69, ?5, ?4, 6, 34

(O) 34 (E) 57 (C) 58 (M) 5=

?3. Obusgo rjnjnejrs tgot gjr erftgjr Loedr's edrtgmoy ho``s ohtjr 5;tg Noy eut ejhfrj 57 tg Noy, wgd`j

[do rjnjnejrs tgot Loedr's edrtgmoy ho``s ejhfrj 55bm Noy eut ohtjr ?5 tg Noy. Fb wgot motj Loedr's

edrtgmoy ho``s 6

(O) 5;tg Noy (E) 5?st Noy (C) 55bm Noy (M) ?5tg Noy

?=. ]gj ndrrfr-dnoij fh tgj hdiurj(W), wgjb ndrrfr ds pòcjm o`fbi [_ hrfn onfbist tgj hfur o`tjrbotdvjs dsVVV

½

Hdi. (W)

[ _

(O) ½

(E) ½

(C) (M) ½

?:. Gfw noby trdobi`js orj tgjrj db tgj idvjb hdiurj 6

(O) 7 (E) ?;

(C) ?? (M) ?5

=tg DNF - 5;?;



14/71

==tg DNF | @jvj`-D | Còss 7

?8. O ds hotgjr fh C obm M ds sfb fh E. J ds erftgjr fh O. Dh C ds sdstjr fh M, gfw ds E rjòtjm tf J 6

(O) Mouigtjr (E) Erftgjr (C) Guseobm (M) Sdstjr-db-òw

?9. Dh '–' njobs ' ', ' ' njobs '+', '+' njobs '·' obm '·' njobs '–', tgjb =; ?5 + 3 – 8 ·8; > 6

(O) 9.4: (E) ?8 (C) == (M) =

?7. Ygdcg `jttjr wd`` ej tgj hdhtg hrfn tgj rdigt dh tgj hdrst obm sjcfbm, tgj tgdrm obm hfurtg obm sf fb

orj dbtjrcgobijm onfbi jocg ftgjr db tgj wfrm " CFN[OBDFBO]J"6

(O) O (E) D (C) B (M) F

?4. Ygdcg fbj fh tgj hf``fwdbi sjts ds ejst rjprjsjbtjm db tgj omafdbdbi mdoiron6

(O) Obdno`s, Dbsjcts, Cfclrfocgjs (E) Cfubtry, Stotjs, Mdstrdcts

(C) Obdno`s, No`js, Hjno`js (M) Stotjs, Mdstrdcts, Zbdfb tjrrdtfrdjs

5;. Hdbm tgj ndssdbi cgoroctjr hrfn onfbi tgj idvjb fptdfbs.

(O) 55 (E) 3;

=

: 8?5

:

95?

?;

= 768

(C) 35 (M) =5

SJC]DFB DD 1 NO]GJNO]DCO@ UJOSFBDBI

5?. Suprdyo ds stobmdbi db tgj Sub c`fsj tf o ònp pfst. Suprdyo ds : hjjt

to`` obm gjr sgomfw ds 5 hjjt `fbi. ]gj sgomfw fh tgj ònp pfst ds

7 hjjt `fbi. Gfw to`` ds tgj ònp pfst 6

(O) 5; ht

6

7 ht5 ht

: ht

` o n p p f s t

(E) ?7 ht

(C) ?8 ht

(M) ?= ht

55. Ygot ds tgj voùj fh 3( x 5 – = x ) wgjb x > :6

(O) : (E) ?: (C) 3; (M) ::

53. ]gj voùj fh - - -5 /3 3 / = ?/:

? ? ?+ + ds

(5?8) (5:8) (35) VVVV

(O) ?;5 (E) ?;: (C) ?;9 (M) ?;4

5=. Ygot ds tgj voùj fh x db tgj idvjb jquotdfb6

- -(3 +?) (5 3) ( + 3) (3 ?)

+ > +?8 9 7 ?=

x x x x

(O) 5 (E) = (C) 3 (M) :

5:. @ost yjor Nr. Bdtdb jorbjm :,7;; hrfn tgj cfrb gj irjw fb gds horn. ]gds yjor gj jxpjcts o 9%

dbcrjosj db tgj dbcfnj hrfn cfrb. Gfw nucg mfjs gj jxpjct tf jorb hrfn cfrb tgds yjor6

(O) k =;8 (E) k 8,5;8 (C) k 7,8;; (M) k 4,8;;

58. ]gj romdus fh tgj òrij cdrc`j ds jquo` tf tgj mdonjtjr fh tgj sno`` cdrc`j. Dh tgj orjo

fh tgj sno`` cdrc`j ds ?3 n 5, wgot ds tgj orjo fh tgj sgomjm rjidfb6

(O) :: n5 (E) =7 n5 (C) 34 n5 (M) 58 n5

=tg DNF - 5;?;



15/71

: =tg DNF | @jvj`-D | Còss 7

59. Dh M K M , U]Y OEC wgot ds tgj njosurj fh Û

] db tgj idvjb hdiurj 6

(O) ?5» E

O C 95» ?7»

]

U Y

(E) 95»

(C) 7;»

(M) 4;»

57. Yrdtj -

-

5 3

: 5

?5;

8;

n b

n b db sdnp`jst hfrn usdbi fb`y pfsdtdvj jxpfbjbts. Ossunj tgot n ´; obm b ´;.

(O) 35b

n (E) 3

5

n b (C)

35n

b (M) 3

?

5n b

54. O 5 cn `fbi irossgfppjr cob aunp ?8; cn. Dh o 8 njtrj to`` obdno` gom tgj sonj gjdigt obm aunp

rotdf, gfw hor cfu`m gj aunp6

(O) =7 n (E) =7; n (C) ?7; n (M) 7;;; n

3;. Afgb nomj tgj idvjb irdm tf sgfw tgj `fcotdfb fh sfnj tgdbis db

gds iormjb. 47

9

8

:

=

3

5

?

;? 5 3 = : 8 9 7 4 x

y

Swdbi sjt

]rjj Edrmeotg

H`fwjrs

Ygdcg frmjrjm podr ejst rjprjsjbts tgj pfdbt fb tgj irdm òej``jm "]rjj" 6

(O) (5, 8)

(E) (3, ?)

(C) (?, 3)

(M) Bfbj fh tgjsj

3?. Stumjbts ot o `fco` cf``jij wjrj osljm gfw noby gfursGfurs fh S`jjp Bunejr fh Stumjbts

8

9

7

4

Nfrj tgob ?;

?=

58

57

?:

8

tgjy s`jpt òst bdigt. ]gj omafdbdbi cgort sgfws tgj moto.

O eor iropg fh tgds moto wd`` ej nomj fb o irdm tgot ds 5;

ubdts. Ygot sco`j wfu`m ej nfst opprfprdotj hfr tgj oxds

òej``jm "Bunejr fh Stumjbts" 6

(O) ? ubdt > ? stumjbt (E) ? ubdt > 5 stumjbts (C) ? ubdt > ?; stumjbts (M) ? ubdt > 57 stumjbts

35. OECM ds o poro``j`firon. ]gj obi`j edsjctfrs fh Û O obm ÛM njjt ot F . ]gj njosurj fh Û OFM

ds VVVV.

(O) =:» (E) 4;»

(C) Mjpjbms fb tgj obi`js O obm M (M) Bft oe`j tf mjtjrndbj hrfn idvjb moto

33. Ygdcg fh tgj hf``fwdbi bunejrs mfjs BF] govj o nu`tdp`dcotdvj dbvjrsj6

(O) ?

3 - (E) ; (C) ? (M) 3

3=. ]gj romdus fh tgj cy`db mjr wgfsj òtjro` surhocj orjo ds 9;= cn5 obm gjdigt 7 cn, ds VVVV.

(O) 8 cn (E) = cn (C) 7 cn (M) ?= cn

3:. Ygdcg jxprjssdfb ds jqudvo`jbt tf :\= + 3( x – 8)^ 6

(O) ?: x – ?; (E) ?: x – 9; (C) ?: x – ?= (M) ?: x – ??;

=tg DNF - 5;?;



16/71

8=tg DNF | @jvj`-D | Còss 7

38. Ejtwjjb wgdcg twf cfbsjcutdvj wgf`j bunejrs ?,;;; `djs6

(O) 54 obm 3; (E) 3; obm 3? (C) 3? obm 35 (M) 35 obm 33

39. Ygdcg twf quomrdòtjro`s govj jxoct`y fbj `dbj fh synnjtry 6

(O) (?) obm (:) (E) (5) obm (3)

(?) (5) (3) (=) (:)(C) (?) obm (=) (M) (5) obm (:)

37. Ygdcg fh tgj hf``fwdbi jxprjssdfbs rjprjsjbts tgj mdstobcj orfubm tgj

trdobi`j 6

(O) : x + 34 (E) = x – 39 =; – x 5 + 3 x

3 – = x (C) = x + 34 (M) 8 x + =9

34. Ygot orj tgj `jbitgs fh tgj sdmjs fh o trdobi`j tgot gos o pjrdnjtjr fh 5= cjbtdnjtrjs 6

(O) 8 cn, 8 cn, ?5 cn (E) 9 cn, 9 cn, ?; cn (C) 3 cn, 7 cn, ?3 cn (M) = cn, : cn, ?: cn

=;. Nobdsg sow tgj idvjb hdiurj wgd`j gj wos rjomdbi o effl fb ostrfbfny.

Gfw ds tgj mdstobcj hrfn Xjbus tf tgj Sub wrdttjb db scdjbtdhdc bftotdfb 6

(O) 89.53 Ù ?;8 nd`js

Sub

Xjbus

89,53;,;;; nd`js(E) ;.8953 Ù ?;7 nd`js

(C) 8.953 Ù ?;= nd`js

(M) 8.953 Ù ?;9 nd`js

SJC]DFB DDD 1 JXJUTMOT NO]GJNO]DCS

=?. ]gj Yrdigt erftgjrs gom tgjdr hdrst succjsshu` h`digt bjor Ldtty Gowl, Bfrtg Corf`dbo. Nr. Sotdsg hdbms

dt josy tf rjnjnejr tgj yjor db wgdcg tgj h`d igt fccurrjm ejcousj tgj bunejr 3,85?,:;5 , tgj squorj

rfft fh gds tj`jpgfbj bunejr ds bjorjst tf o wgf`j bunejr. Db wgdcg yjor mdm tgj h`digt fccur6

(O) ?4;5 (E) ?4;3 (C) ?4;= (M) ?4;:

=5. Mgruv pòbs fb `jovdbi gds gfnj db Mj`gd ot 71;; O.N. Gj wd`` mrdvj

ot ob ovjroij spjjm fh =; ln pjr gfur obm pòbs tf orrdvj ot gds

mjstdbotdfb aust ejhfrj ??1;; O.N. Dh gj noljs bf stfps o`fbi tgj

woy, wgdcg fh tgj hfur pòcjs ds gds mjstdbotdfb6

(O) w (E) x

Mj`gd

(C) y (M) z

=3. Aosndbj ds o nucg ejttjr tjbbds pòyjr tgob Ujsgno. ]gjy mjcdmj tf govj o cfbtjst.

Jvjry tdnj Aosndbj wdbs o ionj, sgj wd`` jorb 3 pfdbts obm jvjry tdnj Ujsgno wdbs o ionj, sgj

wd`` jorb : pfdbts. Dh tgjy pòy =7 ionjs obm tgj hdbo` scfrj ds tdjm, gfw noby ionjs mdm Aosndbj

wdb 6

(O) :; (E) =; (C) 3; (M) ?7

==. Susgndto usjm 5;; squorj td`js tf td`j gjr ldtcgjb h`ffr. Fh tgjsj, 88 td`js wjrj irjjb. Ygot pjrcjbt

fh tgj td`js wjrj irjjb 6

(O) ?3=% (E) 88% (C) 33% (M) 3.;3%

=tg DNF - 5;?;



17/71

9 =tg DNF | @jvj`-D | Còss 7

=:. Bo`dbd obm tgrjj fh gjr hrdjbms wfrljm tfijtgjr tf nolj o qud`t. ]gj idvjb toe`j

`dsts tgj hroctdfbo` port fh tgj qud`t tgot jocg fh tgj idr`s nomj. Ygdcg `dst

sgfws tgj idr`s db frmjr hrfn tgj fbj wgf sjwjm tgj nfst tf tgj fbj wgf

sjwjm tgj `jost 6

(O) Ujjbo, Bo`dbd, Sgo`dbd, Londbd

Idr` [orts Sjwb

Bo`dbd

Londbd

Ujjbo

37

Sgo`dbd

?:

5

:?

=;

(E) Sgo`dbd, Bo`dbd, Londbd, Ujjbo

(C) Ujjbo, Londbd, Bo`dbd, Sgo`dbd

(M) Londbd, Sgo`dbd, Bo`dbd, Ujjbo

=8. ]wf h`fwjr ejms db o porl orj sdndòr rjctobi`js fh sonj wdmtg. ]gj `fbijst sdmj fh tgj òrij h`fwjr

ejm ds 5= cn `fbi, obm tgj `fbijst sdmj fh tgj sno`` h`fwjr ejm ds 7 cn. Dh @ ds tgj orjo fh tgj òrij

h`fwjr ejm obm S ds tgj orjo fh tgj sno`` h`fwjr ejm, wgdcg jquotdfb ds truj6

(O) S > @ – ?8 (E) S > @ + ?8 (C) ?

4 S @ > (M)

?

3 S @ >

=9. O nocgdbj toljs ?5 ndbutjs tf hd`` 5;; eftt`js fh sfmo. Ot tgds rotj, gfw noby ndbutjs wd`` dt tolj

tgj nocgdbj tf hd`` :;; eftt`js fh sfmo6

(O) 5: ndbutjs (E) 57 ndbutjs (C) 3; ndbutjs (M) =; ndbutjs

=7. Adog ds eud`mdbi edrmgfusjs. Dt toljs gjr?

35

gfurs tf eud`m = edrmgfusjs. Ygdcg fh tgj hf``fwdbi ds

ob jqudvo`jbt rotj 6

(O) ?= gfurs tf eud`m ?7 edrmgfusjs (E) 57 gfurs tf eud`m 3: edrmgfusjs

(C) 9 gfurs tf eud`m 7 edrmgfusjs (M) 5? gfurs tf eud`m 57 edrmgfusjs

=4. Nomgurd ds fb tgj hfurtg h`ffr fh o eud`mdbi. Gjr cor ds db tgj porldbi ioroij tgrjj `jvj`s ej`fw tgj

irfubm h`ffr. Sgj ijts db tgj j`jvotfr obm trovj`s hrfn tgj hfurtg h`ffr oefvj irfubm `jvj` tf tgjtgdrm h`ffr ej`fw irfubm `jvj`. Gfw noby h`ffrs mdm sgj trovj` 6

(O) 3 (E) ? (C) = (M) 9

:;. Nrs. Uovdbo bjjms tf tolj o toxd tf tgj mfctfr's c`dbdc. ]gj toxd rdmj cfsts ?3.;; hfr tgj hdrst ln

obm 8 hfr jocg ln tgjrjohtjr. Gfw nucg mfjs Nrs. Uovdbo poy hfr o 5.3 ln toxd rdmj6

(O) k 5: (E) k 57 (C) k 35 (M) k 3;

S[OCJ HFU UFZIG YFUL

=tg DNF - 5;?;



18/71

:tg

Tjor 5;??

C`oss 7



19/71

5 :tg DNF - 5;??


?. Cgffsj o bunejr hrfn tgj fptdfbs tgot wd`` cfbtdbuj tgj sonj pottjrb obm rjpòcj tgj qujstdfb

norl db tgj idvjb sjrdjs.

8, ?3, 5:, :?, ?;?, VVV 6

(O) 5;? (E) 5;5 (C) 5;3 (M) 5;:

5. Db o rfw fh efys hocdbi Bfrtg , O ds sdxtjjbtg hrfn tgj `jht jbm obm C ds sdxtjjbtg hrfn tgj rdigt

jbm. E, wgf ds hfurtg tf tgj rdigt fh O, ds htg tf tgj `jht fh C db tgj rfw. Gfw noby efys orj tgjrj

db tgj rfw6

(O) 34 (E) =; (C) =? (M) =5

3. Cgffsj tgj cfrrjct ndrr fr-dnoij fh Hdi. (W) hrfn onfbist tgj fptd fbs dh tgj ndrr fr

ds pòcjm o`fbi [_.

(O) (E) (C) (M) Hdi. (W)

[

_

=. ]gj idvjb jquotdfb ejcfnjs cfrrjct muj tf tgj dbtjrcgobij fh twf sdibs. Fbj fh tgj hfur fptd fbs

ubmjr dt spjcdjs tgj dbtjrcgobij fh sdibs db tgj jquotdfb wgdcg wgjb nomj wd`` nolj tgj jquotdfb

cfrrjct. Hdbm tgj cfrrjct fptdfb.

: + 8 ù 3 – ?5 Ù 5 > ?9

(O) ù obm Ù (E) + obm Ù (C) + obm ù (M) + obm –

:. Cgffsj fbj wfrm wgdcg cob ej hfrnjm hrfn tgj `jttjrs fh tgj idvjb wfrm.

UJCFNNJBMO]DFB

(O) NJMDCDBJ (E) NJMDO]J (C) UJNDBMJU (M) CFNNZBDCO]J

8. Hdiurjs (d), (dd), (ddd) obm (dv) cfbstdtutj tgj [rfe`jn Sjt. ]gjrj ds o mjbdtj rjòtdfbsgdp ejtwjjb

iurjs (d) obm (dd). Jstoe`dsg o sdndòr rjòtdfbsgdp ejtwjjb iurjs (ddd) obm (dv) ey sj`jctdbi o

sudtoe`j iurj hrfn tgj fptdfbs tgot wfu`m rjpòcj tgj qujstdfb norl (6) db i. (dv).

(O)

(E)

6

[rfe`jn Sjt

(d) (dd) (ddd) (dv)

(C)

(M)




20/71

3 :tg DNF - 5;??

9. Cgffsj tgj Xjbb mdoiron wgdcg ejst d`ùs trotjs tgj tgrjj idvjb còssjs " Mfis, Obdno`s, [jts" .

(O) (E) (C) (M)

7. O notrdx fh cjrtodb cgoroctjrs ds idvjb. ]gjsj cgoroctjrs hf``fw o cjrtodb 5

3

=

5

5

5

5:8

6

=88:8

trjbm, rfw-wdsj fr cfùnb-wdsj. Hdbm fut tgds trjbm obm cgffsj tgj ndssdbi

cgoroctjr hrfn tgj idvjb fptdfbs.

(O) 598: (E) 3?5: (C) 7948 (M) 3;;;7

4. Cfubt tgj bunejr fh trdobi`js db tgj idvjb iurj.

(O) 5;

(E) 55

(C) 53

(M) Bfbj fh tgjsj

?;. Sj`jct o iurj hrfn onfbist tgj fptdfbs wgdcg wfu`m cfnp`jtj tgj pottjrb fh Hdi. (W).

(O)

(E)

(C)

(M)

??. Cgffsj tgot sjt fh bunejrs hrfn tgj fptdfbs tgot ds sdnd` or tf tgj idvjb sjt.

(7?, 99, 84)

(O) (:8, :5, ==) (E) (=8, 8?, :3) (C) (9:, 9?, 8;) (M) (45, 77, 94)

?5. O nob ds hocdbi bfr tg-wjst. Gj turbs 4;» db tgj c`fc lwds j mdrjctdfb obm tgjb ?3:» db tgj obtd-

c`fclwdsj mdrjctdfb. Ygdcg mdrjctdfb ds gj hocdbi bfw6 (O) Jost (E) Yjst (C) Bfrtg (M) Sfutg

?3. Sj`jct hrfn onfbis t tgj fptdfbs os tf gfw tgj pottjrb wfu`m oppjor wgjb tgj trobsporjbt sgjjt

ds hf`mjm o`fbi tgj mfttjm `dbj.

(O) (E)

(C) (M)




21/71

= :tg DNF - 5;??

?=. Cgffsj tgj fmm bunjro` podr/irfup.

(O) : 1 :; (E) 7 1 ?57 (C) ?? 1 5=5 (M) ?: 1 39;

?:. Dh QD[ > 3; obm QO[ > 37, tgjb gfw wd `` yfu cfmj XD[6

(O) ?9= (E) =3 (C) 3= (M) ??3

?8. Gfw noby :'s orj tgjrj db tgj hf`` fwdbi bunejr sjqujbcj wgdcg orj dnnjmdotj`y prjcjmjm ey

9 obm dnnjmdotj`y hf``fwjm ey 86

9 : : 4 = : 9 8 = : 4 7 9 : 8 9 8 = 3 5 : 8 9 7

(O) Fbj (E) ]wf (C) ]grjj (M) Hfur

?9. ]gjrj orj sjvjb iurjs, tgj rst obm `ost fh wgdcg orj ub-bunejrjm obm tgj rjnodbdbi orj bunejrjm

os ?, 5, 3, = obm :. ]gjsj sjvjb iurjs hfrn o sjrdjs. Gfwjvjr, fbj fh tgj vj bunejrjm iurjs

mfjs bft t dbtf tgj sjrdjs. Hdbm tgot iurj hrfn tgj fptdfbs idvjb ej`fw.

? 5 3 = :

(O) : (E) 5 (C) 3 (M) =

?7. Sj`jct o iurj hrfn onfbist tgj fptdfbs wgdcg wd`` cfbtdbuj tgj sonj sjrdjs os jstoe`dsgjm ey

tgj vj [rfe`jn Hdiurjs.

(O)

] S

]

C(E)

] S

C

C

SC

C

S ] S

C

[rfe`jn Hdiurjs

6

(C)

] S

C(M)

] S

C

?4. Irfup tgj idvjb iurjs dbtf tgrjj c`ossjs usdbi jocg iurj fb`y fbcj.

(O) ?, 3, 8< 5, =, 4< :, 9, 7

(E) ?, :, 9< 5, 7, 4< 3, =, 8

(C) ?, 3, 4< 5, :, 8< =, 9, 7

(M) ?, 3, 4< 5, =, 9< :, 8, 7




22/71

: :tg DNF - 5;??

5;. Orrobij tgj idvjb wfrms db o njobdbihu` sjqujbcj obm tgjb cgffsj tgj nfst opprfp rdotj sjqujbcj

hrfn onfbist tgj fptdfbs prfvdmjm ej`fw.

?. [f`dcj 5. [ubdsgnjbt 3. Crdnj =. Aust dcj :. Aumijnjbt

(O) ?, 5, 3, =, : (E) 3, ?, :, =, 5 (C) 3, ?, =, :, 5 (M) :, =, 3, 5, ?


5?. ]gj sun fh twf bunejrs ds ?5 obm tgjdr prfmuct d s 3:. Ygot ds tgj sun fh tgj rjcdprfco`s fh tgjsj

bunejrs6

(O)

?5

3: (E)

?

3: (C)

3:

7 (M)

9

35

55. ]gj oijs fh Ndro, ]dbo obm Sobdo orj db tgj rotdf 8 1 = 1 9 rjspjctdvj`y. Dh tgj sun fh tgjdr oijs ds

3= yjors, wgot ds Sobdo's oij6

(O) ?5 yjors (E) ?; yjors (C) ?7 yjors (M) ?= yjors

53. Njgu` p`obts ?:398 opp`j trjjs db gd s iormjb obm orrobijs tgjn sf tgot tgjrj orj os noby rfws

os tgjrj orj opp`j trjjs db jocg rfw. ]gj bunejr fh rfws ds VVVVV.

(O) ?5= (E) ?58 (C) ?3= (M) ?==

MDUJC]DFB (_. 5=-5:)1 Stumy tgj hf``fwdbi toe`j corjhu``y tf obswjr tgj hf``fwdbi qujstdfbs.

Norls Fetodbjm ey Hdvj Stumjbts db

]grjj Sueajcts fut fh ?;;

StumjbtSueajcts

Notg Scdjbcj Jbi`dsg

Nfgdt 4= 73 9=

Sonjjr 95 77 87

Uocgbo 78 9: 88

[uroe 4; 8? 75

Nobsd 87 89 9?

5=. Ygot orj tgj ovjroij norls fetodbjm ey o`` tgj stumjbts d b Notg6

(O) ?39 (E) 75 (C) 9: (M) 47

5:. Ygot ds tgj rjspjctdvj rotdf fh norls fe todbjm ey Nobsd db Scdjbcj obm Jbi`dsg tfijtgjr tf tgj

norls fetodbjm ey Uocgbo db tgj sonj sueajcts6

(O) ?9 1 ?7 (E) ?? 1 ?3 (C) =8 1 =9 (M) 5? 1 53




23/71

8 :tg DNF - 5;??

58. Hdbm tgj voùj fh ; ;;;;8=3

. .

(O) ;.;5 (E) ;.5 (C) 5 (M) Bfbj fh tgjsj

59. Ygdcg fh tgj hf``fwdbi bunejrs ds jxoct`y mdvdsd e`j ey 446

(O) ??=3=: (E) ?3:945 (C) 3:95=;= (M) 4?3=8=

57. ]gj mdhhjrjbcj ejtwjjb tgj pòcj voùj obm tgj hocj voùj fh 8 db tgj bunjro` 7:8493 ds VVVVV. (O) 493 (E) 8493 (C) :44= (M) Bfbj fh tgjsj

54. ]gj voùj fh7 8 : 3 7 8 = 9

= 3 4 9 = 3 7 9

. . . .

. . . .

Ù + ÙÙ ∕ Ù

ds VVVVV.

(O) 3.3 (E) 8.7=9 (C) ?3.4 (M) 5;

3;. Sgrjyo efuigt ob ortdc` j obm sf`m d t hfr ?5:% pjr cjbt fh dts cfst pr dcj. Ygot wos tgj cfst p rdcj

fh tgj ortdc`j, dh Sgrjyo sf`m dt hfr k 3;,9:;6

(O) k 5=,8;; (E) k 5:,8=; (C) k 5=,5:; (M) k 53,5;;

3?. Ygot wfu`m ej tgj cfst fh òydbi corpjt fb o ffr wgdcg gos `jbitg obm erjomtg db tgj rjspjctdvj

rotdf fh 35 1 5? obm pjrdnjtjr 5?5 hjjt, dh tgj cfst pjr squorj hfft fh òydbi corpjt ds k 5.:6

(O) k 8,95; (E) k :,=5; (C) k 9,34; (M) Bfbj fh tgjsj

35. Dh 5b – ? + 5b + ? > 35;, tgjb b ds jquo` tf VVVVV.

(O) 8 (E) 7 (C) : (M) 9

33. O sun fh nfbjy dbvjstjm ot cfnpfubm dbtjrjst onfubts tf k 7;; db 3 yjors obm tf k 7=; db

= yjors. ]gj rotj fh dbtjrjst pjr obbun ds VVVVV.

(O) 5?

5%

(E) =% (C) :% (M) 8

5

3%

3=. Db o sdnu`tobjfus tgrfw fh twf mdcj, wgot ds tgj prfeoed`dty fh ijttdbi o tfto` fh 96

(O) ?

8 (E)

?

= (C)

5

3 (M)

3

=

3:. Dh 3:% fh o bunejr ds ?5 `jss tgob :;% fh tgot bunejr, tgjb tgj bunejr ds VVVVV.

(O) =; (E) :; (C) 8; (M) 7;




24/71

9 :tg DNF - 5;??

38. Sno``jst obi`j fh o trdobi`j ds jquo` tf twf-tgd rm tgj sno``jst obi`j fh o quomrdòtjro`. ]gj rotdf fh tgj

obi`js fh tgj quomrdòtjro` ds 3 1 = 1 : 1 8. @orijst obi`j fh tgj trdobi`j ds twdcj dts sno``jst obi`j.

Ygot ds tgj sun fh sjcfbm òrijst obi`j fh tgj trdobi`j obm òrijst obi`j fh tgj quomrdòtjro`6

(O) ?8;» (E) ?7;» (C) ?4;» (M) ?9;»

39. Sfgo purcgosjm ob dtjn hfr k 4,8;; obm sf`m dt hfr `fss fh : pjr cjbt. Hrfn tgot nfbjy sgj

purcgosjm obftgjr dtjn obm sf`m dt hfr iodb fh : pjr cjbt. Ygot ds gjr fvjro`` iodb/`fss6 (O) @fss fh k 38 (E) [rft fh k 5= (C) @fss fh k 5= (M) Bfbj fh tgjsj

37. Dh x xx x

3 5 3 5/ ( ) ,/> tgjb tgj voùj fh x ds VVVVV.

(O) 3

5 (E)

4

= (C)

?8

5: (M)

7

59

34. Ygot bunejr wd`` cfnj db pòcj fh qujstdfb norl6

( ) ( ) (6)/ /7 7 4 7 3=;? 5 ? 5 3Ù + > + ∕

(O) 9 (E) ?4 (C) ?7 (M) 4

=;. Ygdcg fh tgj hf`` fwdbi s totjnjbts ds DBCFUUJC]6

(O) O`` rgfneusjs orj poro``j`firons. (E) O`` squorjs orj bft poro``j`firons.

(C) O`` rjctobi`js orj bft squorjs. (M) O`` squorjs orj tropjzduns.


=?. ]gj tfto` orjo fh o cdrc` j obm o rjctobi`j ds jquo` tf ??88 sq. cn. ]gj mdonjtjr fh t gj cdrc` j ds

57 cn. Ygot ds tgj sun fh tgj cdrcunhjrjbcj fh tgj cdrc`j obm tgj pjrdnjtjr fh tgj rjctobi`j dh

tgj `jbitg fh tgj rjctobi`j ds 5: cn6

(O) ?78 cn (E) ?75 cn (C) ?7= cn (M) ?35 cn

=5. 3=

tg fh o bunejr ds 5; nfrj tgob go`h fh tgj sonj bunejr. ]gj rjqudrjm bunejr ds VVVVV.

(O) :; (E) ?7; (C) 4; (M) 7;

=3. O njrcgobt gos ?=; `dtr js, 58; `dt rjs obm 35; `dtr js fh tgrjj ldbms fh fd`. Gj wobts tf sj`` tgj fd`

ey ``dbi tgj tgrjj ldbms fh fd` sjporotj`y db tdbs fh jquo` vfùnjs. ]gj vfùnj fh sucg o tdb

ds VVVVV.

(O) 5; `dtrjs (E) ?3 `dtrjs (C) ?8 `dtrjs (M) 9; `dtrjs




25/71

7 :tg DNF - 5;??

==. ]gj rotdf fh oijs fh Lubo` obm Mjjpjsg ds 3 1 :. Ohtjr ?; yjors tgds r otdf ejcfnjs : 1 9. Ygot ds

tgj prjsjbt oij fh Mjjpjsg6

(O) 5; yjors (E) 5: yjors (C) :; yjors (M) ?: yjors

=:. Fut fh o bunejr fh j`jctrfbd c dtjns, Ufgdt pu rcgosjs 8;% cf`furjm ].Xs. :% fh tgjsj orj hfubm

tf ej mjhjctdvj. ]gj pjrcjbtoij fh mjhjctdvj ].Xs db o`` ds VVVVV.

(O) 3% (E) 8% (C) ?5% (M) Cob't ej mjtjrndbjm

=8. ]gj mdhhjrjbcj ejtwjjb cfnpfubm dbtjrjst obm sdnp`j dbtjrjst hfr 3 yjors K 5;% p.o. ds k ?:5.

Ygot ds tgj prdbcdpo` `jbt db jocg cosj6

(O) k ?5;; (E) k ??:: (C) k ??79.:; (M) Bfbj fh tgjsj

=9. O cob mf o pdjcj fh wfrl db ?; moys, E cob mf dt db ?: moys. Dh tgjy eftg wfrl tfijtgjr tgjy cob

bdsg tgj wfrl db VVVVV.

(O) 4 moys (E) 7 moys (C) ?; moys (M) 8 moys

=7. O potg fh ubdhfrn wdmtg rubs o`` orfubm tgj dbsdmj fh o rjctobiu`or j`m ??8 njtrjs ey 87 njtrjs

obm fccupdjs 95; squorj njtrjs. Hdbm tgj wdmtg fh tgj potg.

(O) ? njtrj (E) ?.: njtrjs (C) 5 njtrjs (M) = njtrjs

=4. Nfgob ijts 3 norls hfr jocg cfr rjct obswjr obm `fsjs 5 norls hfr jocg wrfbi obswjr. Gj ottjnpts

3; prfe`jns obm fetodbs =; norls. ]gj bunejr fh prfe`jns sf`vjm cfrrjct`y ds VVVVV.

(O) ?; (E) ?: (C) 5; (M) 5:

:;. Gorry ifjs tf o sgfp tf euy o wotcg cfstd bi k ?=;= dbc`umdbi so`js tox fh 7%. Gj osls tgj

sgfpljjpjr tf rjmucj tgj prdcj fh tgj wotcg sf tgot gj cob sovj ob onfubt jquo` tf tgj so`js

tox. ]gj rjmuctdfb db tgj prdcj fh tgj wotcg ds VVVVV.

(O) k ?;7 (E) k ?;= (C) k ??5.35 (M) Bfbj fh tgjsj




26/71

8tg

Tjor 5;?5

SJ] O

C`oss 7



27/71

5 8tg DNF - SJ] O


?. @otdlo mj`dvjrs eftt`jm wotjr tf stfrjs db Mj`gd. Sgj mj`dvjrs tf

N]I's Efflstfrj jvjry 8tg moy obm tf Sonny's Efflstfrj jvjry

4tg moy. Fb ]gursmoy tgj =tg , sgj wd`` mj`dvjr wotjr tf eftg fh tgjsj

stfrjs. Gfw noby moys ohtjr tgot wd` ` sgj mj`dvjr tf eftg stf rjs fbtgj sonj moy oiodb6

(O) ?9 (E) ?7

(C) ?4 (M) ?8

5. Hdbm fut tgj cfrrjct `jttjr podr hrfn tgj fptd fbs, tf mjbftj tgj sonj rjòtdfbsgd p onfbi tgj irfup

fh `jttjrs os jstoe`dsgjm ejtwjjb tgj sjts idvjb ej`fw.

U] 1 YQ 11 VVVVVVV 1 VVVVVVV

(O) OC 1 UZ (E) OE 1 [Y (C) [U 1 @N (M) ]Z 1 YW

3. Dh 'HUDDGG' stobms hfr 'CFHHJJ', gfw wd`` yfu wrdtj 'BFFM@JS'6

(O) USSG[DY (E) [__HBIZ (C) _UUIFGX (M) USSG[DX

=. ]jrrfrdst s wgf orj bft gorm-cfrj crdndbo`s orj rjprjsjbtjm ey VVVVVV.

(O) 5

(E) 3

(C) =

(M) ?

:. O tfurdst mrdv js ?; ln tfworms jost obm turbs tf tgj rdigt gobm obm mrdvjs 3 ln. ]gjb gj mrdvjs

tfworms wjst (turbdbi tf gds rdigt) 3 ln. Gj tgjb turbs tf gds `jht obm mrdvjs 5 ln. Hdbo``y gj turbstf gds rdigt obm trovj`s 9 ln. Gfw hor ds gj hrfn gds stortdbi pfdbt obm db wgdcg mdrjctdfb wfu`m

gj ej6

(O) ?; ln, Jost (E) : ln, Sfutg (C) 7 ln, Yjst (M) : ln, Yjst

8. ]gj rjòtsgp tgj rst sjt (? & 5) h [re`jn Hiurjs s ij. Eosjm tgj sonj rjòtsgp,

m tgj sutoe`j iurj hrn oswjr iurjs t t tgj eòl spocj h sjcm sjt (3 & =).

(O) (E) (C) (M)

9. Hm tgj mm j onist tgj sjt h iurjs h o sjrjs.

(O) _ (E) U (C) ] (M) Z



28/71

38tg DNF - SJ] O

7. Hm o iurj hrn tgj pts wgcg Hi. (W) s jnejmmjm os ts port.

(O) (E)

(C) (M)

4. Sj`jct tgj iurj hrn tgj pts wgcg cnp`jtjs tgj Hi.(W)

(O) (E)

(C) (M)

?;. Sj`jct tgj iurj hrn tgj pts wgcg sgu`m cnp`jtj tgj sjrjs hrnjm ey [re`jn Hiurjs

?, 5, 3 obm =.

(O) (E) (C) (M)

??. ]gj Sgornos govj tgrjj cgd `mrjb Subdto, Sobaoy obm Sgjjò. Subdto ds norrdjm tf Sfbd` Nogoaob obm

tgjy govj o sfb Sgfeob. Sgjjò norrdjs Sobaoy Egobmord obm Xdbdt obm @d`y orj tgjdr cgd`mrjb. Sobaoy

(Subdto's erftgjr) ds yfubijr tf Subdto eut j`mjr tf Sgjjò. Ygot ds tgj surbonj fh Sgfeob 6 (O) Egobmord (E) Sgorno (C) Nogoaob (M) Bfbj fh tgjsj

?5. Stumy tgj hf``fw dbi `jttjr-bunejr orrobijnjbt obm obswjr tgj qujstdfb id vjb ej`fw.

E 7 = C U N 4 [ M L Y H O 5 J A 9 W Z _ G @ ] T 8 I S

Dh jvjry o`tjrbotj `jttjr/bunejr ds mrfppjm db tgj oefvj orrobijnjbt ejidbbdbi wdtg mrfppdbi '='

os rst unejr t ej mrppjm, wgcg h tgj h``wi w`` ej tgrm t tgj rigt h tgj htg `jttjr/

bunejr hrfn `jht jbm6

(O) Y (E) 5 (C) 9 (M) O

?3. Hm tgj nssi unejr Hi.(W).

(O) :8

(E) :7

(C) 8;

(M) 85

?=. Dh '2' mjbftjs '+', '0' mjbftjs '–', '+' mjbftjs 'ù', 'R' mjbftjs 'Ù', '–' mjbftjs '>', 'Ù' mjbftjs '2', obm '>'

mjbftjs '0', tgjb wgdcg fh tgj hf``fwdbi fptdfbs ds cfrrjct6

(O) ?3 2 9 0 8 + 5 > 3 R = (E) 57 + = R 5 > 8 R = + 5

(C) 4 2 : 2 = – ?7 + 4 2 ?8 (M) 4 0 3 0 5 2 ? Ù 7 R 5



29/71

= 8tg DNF - SJ] O

?:. ]gj umjr`jm `jttjrs mcotj tgj jm h tgj rst wrm om ejii h sjcm wrm. Cgsj

tgj cfrrjct fptdfb.

J W (VVV) O C @ J

(O) [JU] (E) ]OB] (C) ]JB] (M) JBCJ

?8. Ygcg h tgj h``wi pts sgws tgj nrrr noij h Hi.(W), h nrrr s pòcjm jrtco``y `jht.

(O) (E)

(C) (M)

?9. Irup tgj ij iurjs t tgrjj opprprotj còssjs usi jocg iurj `y cj.

(O) =, 9, 4< 5, :, 7< ?, 3, 8 (E) ?, 3, 7< 5, =, 8< :, 9, 4

(C) ?, =, 8< 5, 3, 9< :, 7, 4 (M) 3, :, =< ?, 8, 4< 5, 9, 7

?7. Hdbm tgj fmm fbj fut db tgj hf``fwdbi oboirons.

(O) [ J B F G (E) M U F D O (C) ] S [ F (M) I B M U J O

?4. Gfw noby sucg 3's orj tgjrj db tgj hf``fw dbi bunejr sjqujbcj wgdcg orj dnnjmdotj`y prjcjmjm

ey ob fmm bunejr obm dnnjmdotj`y hf``fwjm ey ob jvjb bunejr6

: 3 7 4 = 3 9 5 3 7 ? 3 7 = 5 3 : 9 3 = 5 3 8

(O) Fbj (E) ]wf (C) ]grjj (M) Hfur

5;. ]gjrj orj j pjs ?, 5, 3, = om : h mhhjrjt cùrs, z. Eùj, Eòcl, Nor, Irjj om Ujm.

[j unejr 3 s h Eòcl cùr om [j unejr : s h Irjj cùr. Ygcg h tgj h``wi pj

ds fh Ujm cf`fur6

(O) Bunejr ? (E) Bunejr 5 (C) Bunejr 3 (M) Moto dbomjquotj


5?. ]gj omai iurj sgws 3 mhhjrjt jws h o

]fp Hrfbt Sdmj

tgrjj-mnjso` iurj cstructjm hrn cuejs.

Ygdcg cfu`m ej tgj cfrrjct fptdfb 6

(O) (E) (C) (M)



30/71

:8tg DNF - SJ] O

55. O spdbbjr cfbsds ts fh sdx jquo` rjidfbs os sgfwb. Dh Nfgdt sp dbs tgj

spdbbjr fbcj, wgot ds tgj prfeoed`dty tgot tgj orrfw wd`` `obm fb o rjidfb

bunejrjm `jss tgob fr jquo` tf 5 6

(O) ?

5 (E)

?

3

(C) ?

8 (M)

5

3

53. Ygdcg fh tgj hf``fwdbi jxprjssdfbs ds t ruj 6

(O) ; ;4

9

7. 2 (E) 8 ; ;4% .0 (C)

9

77 ; ?;

30 Ù ∕. (M) 7 ; ?; 83

. %Ù 2∕

5=. Ygdcg fh tgj hf``fw dbi mjscrdejs o squorj rfft fh =? 6

(O) Ejtwjjb : obm 8 (E) Ejtwjjb 8 obm 9

(C) Ejtwjjb 5; obm 5? (M) Ejtwjjb =; obm =5

5:. Dh 3x –? + 3x+? > 4;, tgjb x ds jquo` tf VVVVVV.

(O) ? (E) 3 (C) 5 (M) ;

58. Gw noy cors wjrj s`m tgj rst quortjr

fh tgj yjor 6

(O) 8;

(E) 4;

(C) :;

(M) ?;;

59. O njrcgobt norls gds iffms ot k 3;; obm o``fws o mdscfubt fh 5: %. Dh gj std`` iodbs ?5.: %, tgjb

tgj cfst prdcj fh ortdc`j ds VVVVV.

(O) k 55; (E) k 5;; (C) k 5=; (M) k 58;

57. Cfbsdmjr tgj hf`` fwdbi stotjnjbts.

Dh o nfbjy ds `fobjm ot sdnp` j dbtjrjst tgjb tgj 1

(d) nfbjy ijts mfue`jm db : yjors dh tgj rotj fh dbtjrjst ds ?85

3% .

(dd) nfbjy ijts mfue`jm db : yjors dh tgj rotj fh dbtjrjst ds 5; %.

(ddd) nfbjy ejcfnjs hfur tdnjs db ?; yjors dh dt ijts mfue`jm db : yjors.

Fh tgjsj stotjnjbts 1

(O) (d) obm (dd) orj cfrrjct (E) (ddd) o`fbj ds cfrrjct

(C) (dd) o`fbj ds cfrrjct (M) Bfbj fh tgjsj

54. Jvo`uotj (358:=?754)5 – 358:=?733 Ù 358:=?75:.

(O) = (E) 358:=?7?4 (C) 358:?737 (M) ?8



31/71

8 8tg DNF - SJ] O

3;. ]gj iurj sgfws o trdobi`j fb o cffrmdbotj pòbj. Ygdcg fh tgj hf``fwdbi sgfws tgj trdobi`j

trobsòtjm 3 ubdts tf tgj rdigt obm ? ubdt mfwb6

(O) (E) (C) (M)

3?. Hdbm tgj njosurj fh òrijst obi`j fh o quomrdòtjro` dh tgj njosurjs fh d ts db tjrdfr obi`js orj db

tgj rotdf fh 3 1 = 1 : 1 8.

(O) 8;» (E) ?5;» (C) 4;» (M) Cob't ej mjtjrndbjm

35. Sf`vj hfr x 1 x xx x

∕ ∕ ∕

∕5

: ?

3>

?

3+

?

5

(O) 3

5 (E) –3? (C) – 5; (M) ∕

?

5

33. Gfw noby bunejrs orj tgjrj ejtwjjb 5;; obm 7;; wgdcg orj mdvd sde` j ey eftg : obm 9 6

(O) 3: (E) ?8 (C) ?9 (M) Cob't ej mjtjrndbjm

3=. Hm tgj orjo h tgj ij iurj.

(O) ?57 n5

(E) 557 n5

(C) 357 n5

(M) 857 n5

3:. Db tgj idvjb mdoiron, jqud` otjro` trdobi`j JMC surnfubts squorj OECM. Hdbm

∫EJM rjprjsjbtjm ey x, wgjrj JEC > o».

(O) =:»

(E) 8;»

(C) 3;»

(M) Bfbj fh tgjsj



32/71

98tg DNF - SJ] O

MDUJC]DFB (38 & 39) 1 ]gj [j iropg mjpcts tgj eumijt

fh o hond`y 'W '. ]gj tfto` nfbtg`y dbcfnj fh tgj hond`y ds

k 3;7;.

38. Gfw noby mjirjjs sgfu`m ej tgjrj db tgj cjbtro` obi`j

fh tgj sjctfr hfr ndscj`òbjfus jxpjbsjs6

(O) 8; mjirjjs (E) :: mjirjjs

(C) =8 mjirjjs (M) 38 mjirjjs

39. Gfw nucg tfto` jxpjbsjs orj dbcurrjm fb hffm, c`ftgdbi obm cfbvjyobcj jvjry nfbtg 6

(O) k ?94= (E) k ?87= (C) k ?88= (M) k ?84=

37. ]gj òrijst hfur-mdi dt bunejr wgdcg d s o pjrhjct cuej, ds VVVVVV.

(O) 7;;; (E) 458? (C) 4444 (M) Bfbj fh tgjsj

34. Dh x 1 y > : 1 5, tgjb (7x + 4y ) 1 (7x + 5y ) ds VVVVVV.

(O) 55 1 54 (E) 58 1 8? (C) 54 1 55 (M) 8? 1 58

=;. C`surj prpjrty hr roto` unejrs s sotsjm cosj h VVVVVVV. (O) Ommdtdfb (E) Suetroctdfb (C) Nu`tdp`dcotdfb (M) O`` fh tgjsj

SJC]dfb ddd 1 JvJUTMOT NO]GJNO]dCS

=?. Hfr o afurbjy tgj cfst fh o cgd`m tdc ljt ds ?/3rm fh tgj cfst fh ob omu`t tdcljt. Dh tgj cfst fh tgj

tdcljts hfr = omu`ts obm : cgd`mrjb ds k 7:, tgj cfst fh o cgd`m tdcljt ds VVVVVV.

(O) k : (E) k 8 (C) k ?; (M) k ?:

=5. ]gj rotdf f h prjsjbt oijs fh Uogu` obm Mjjpjsg d s 3 1 :. ?; yjors òtjr tgds rotdf ejcfnjs : 1 9.

Ygot ds tgj prjsjbt oij fh Mjjpjsg 6

(O) 5; yjors (E) :; yjors (C) 5: yjors (M) =; yjors

=3. O pjrs wots t rjmucj tgj tromj tox s gj co`cuòtjs gs prt tgj so`j prcj stjom h

tgj cfst prdcj. Db tgds woy ey sj``dbi ob ortdc`j hfr k 57; gj co`cuòtjs gs prt os ?=5

9%. Ygot

s tgj octuo` prt pjrcjtoij6

(O) 5; % (E) ?8.88 % (C) 5: % (M) Bfbj fh tgjsj

==. O rjctobiuòr tobl 5: cn `fbi obm 5; cn wdmj cfbtodbs wotjr tf o mjptg fh : cn. O njto` cuej

fh sdmj ?; cn ds pòcjm db tgj tobl sf tgot fbj hocj fh tgj cuej rjsts fb tgj efttfn fh tgj tobl.

Hdbm gfw noby `dtrjs fh wotjr nust ej pfurjm dbtf tgj tobl sf os tf aust cfvjr tgj cuej 6

(O) ? @ (E) ?.: @ (C) 5 @ (M) 5.: @

=:. d tgj nri eotcg ot 'o scg`' wj goj esjrjm tgot wgj j stumjts tl sjot jocg

ejbcg, = stumjbts rjnodbjm ubsjotjm. Eut wgjb j`jvjb stumjbts tffl sjot pjr ejbcg, = ejbcgjs

rjnodbjm vocobt. ]gj bunejr fh stumjbts db tgj nfrbdbi eotcg wjrj6

(O) :: (E) =7 (C) 58 (M) ==

=8. Fb tgj Opr d` ?, 5;?5 Njigo's soòry dbcrjosjm hrfn k ?;,;;; tf k ?8,;;;. Sdnu`tobjfus`y tgj rotj

fh dbcfnj tox mjcrjosjm ey 39.:%. Sf tgj onfubt fh dbcfnj tox podm ey Njigo rjnodbs cfbstobt,

wgot ds tgj onfubt fh dbcfnj tox podm ey gjr6

(O) k 3;;; (E) k 8;;; (C) k ?8;; (M) Cob't ej mjtjrndbjm



33/71

7 8tg DNF - SJ] O

=9. Nr. Iupto mrdvjs ot o spjjm fh 8; ln/gr hfr 8 gfurs h rfn Cgobmdiorg t f Mj`gd. Nr. Xjrno mrdvjs

gds cor ot ob ovjroij spjjm fh =: ln/gr hfr tgj sonj afurbjy. Gfw nucg tdnj mfjs Nr. Xjrno

tolj tf cfnp`jtj tgj afurbjy6

(O) 9 grs (E) 7 grs (C) 4 grs (M) ?? grs

=7. ]gj vfùnj fh o cy` dbmjr ds =7.?5: cn3, wgdcg ds hfrnjm ey rf``dbi o rjctobiuòr popjr sgjjt o`fbi

tgj `jbitg fh tgj popjr. Dh o cuefdmo` efx (wdtgfut oby `dm d .j., fpjb ot tgj tfp) ds nomj hrfn tgjsonj sgjjt fh popjr ey cuttdbi fut tgj squorj fh sdmj ;.: cn hrfn jocg fh tgj hfur cfrbjrs fh

tgj popjr sgjjt, tgjb wgot ds tgj vfùnj fh tgds efx 6

(O) 5; cn3 (E) 37 cn3 (C) ?4 cn3 (M) 57 cn3

=4. Nrs. [ryo jors ?7;;; pjr ntg. Sgj spjms9

?5 fb gfusjgf`m dtjns obm

?

7 fb rjst fh tgj

tgdbis. ]gj onfubt sgj sovjs ds VVVVV.

(O) k 9?5; (E) k :5:; (C) k ::5; (M) k 8:85.:

:;. Bdto wo`ls hrfn gjr gfusj ?8; njtrjs bfrtg obm hrfn tgjrj 83; njtrjs wjst tf vd sdt gjr hrdjbm.

Ygd`j cfndbi eocl, sgj wo`ljm mdoifbo``y hrfn gjr hrdjbm's gfusj, eocl tf gjr gfnj. Ygot mds tobcj

mdm sgj wo`l wgd`j rjturbdbi 6

(O) 93; n (E) 7;; n (C) ?5:; n (M) 8:; n

S[OCJ HfU UfZIG YfUL



34/71

8tg

Tjor 5;?5

SJ] E

C`oss 7



35/71

5 8tg DNF - SJ] E


?. Ygdcg fbj fh tgj hf``fwdbi Xjbb mdoirons cfrrjct`y d`ùstrotjs tgj rjòtdfbsgdp onfbi tgj còssjs 1

Mdsjosjs, @jprfsy, Scurvy6

(O) (E) (C) (M)

5. Dh 'Ù' njobs '+', 'ù' njobs '–', '–' njobs 'Ù' obm '+' njobs ' ù', tgjb ?= Ù 3 ù ?? – 3 + ?5? > VVVV.

(O) ?=3

4 (E) 5 (C) ?8

7

?? (M) :

3. Db o cjrtodb cfmj, '5:8' njobs 'yfu orj iffm'< '839' njobs 'wj orj eom' obm '3:7' njobs 'iffm obm

eom'. Ygdcg fh tgj hf``fwdbi bunejrs rjprjsjbts 'yfu' db tgot cfmj 6

(O) 5 (E) : (C) 7 (M) 3

=. Sj`jct o iurj hrfn onfbist tgj fptdfbs wgdcg wd`` cfbtdbuj tgj sonj sjrdjs os jstoe`dsgjm ey

tgj hfur [rfe`jn Hdiurjs.[rfe`jn Hdiurjs

[ _ U S

6

(O)

(E)

(C)

(M)

:. Cfubt tgj bunejr fh trdobi`js db tgj idvjb iurj.

(O) ?5(E) ?=

(C) ?8

(M) Bfbj fh tgjsj

8. Ygdcg fh tgj hf``fwdbi fptdfb iurjs wd`` cfnp`jtj tgj iurj (W)6

6

Hdi.( ) W

(O) (E) (C) (M)

9. Cgffsj tgj fptdfbs wgdcg nfst c`fsj`y rjsjne`js tgj ndrrfr-dnoij fh tgj idvjb cfnedbotdfb dh

tgj ndrrfr ds pòcjm vjrtdco``y tf tgj rdigt.

_ZOB]D]DJS

(O)_ZOB]D]DJS

(E) SJ]D]BOZ_ (C) _Z OB]D

JS]D (M)

7. Sj`jct tgj rjòtjm bunejr hrfn tgj idvjb fptd fbs.

: 1 ?;;, = 1 8= 11 = 1 7;, 3 1 6

(O) 58 (E) =7 (C) 8; (M) :=



36/71

38tg DNF - SJ] E

4. Dh tgj hf`` fwdbi wfrms orj orrobijm db tgj o`pgoejtdco` frmjr, wgdc g wfrm wd`` oppjor ot tgj

jbm6

(O) F`ynpdc (E) F`ynpdo (C) Fvo` (M) Fvu`jt

?;. Hrfn gds gfusj, Xdsgo` wjbt ?: ln tf tgj Bfrtg. ]gjb gj turbjm Yjst obm cfvjrjm ?; ln. ]gjb,

gj turbjm Sfutg obm cfvjrjm : ln. Hdbo``y, turbdbi tf Jost, gj cfvjrjm ?; ln. Gfw hor obm db

wgdcg mdrjctdfb ds gj hrfn gds gfusj 6 (O) ?; ln Jost (E) ?; ln Yjst (C) ?; ln Bfrtg (M) ?; ln Sfutg

??. Db o norcg post, sjvjb pjrsfbs orj stobmdbi d b o rfw. U ds stobmdbi `jht tf _ eut rdigt tf [.

F ds stobmdbi rdigt tf B obm `jht tf [. Sdndòr`y, S ds stobmdbi rdigt tf _ obm `jht tf ]. Hdbm fut

tgj pjrsfb stobmdbi db tgj ndmm`j.

(O) [ (E) _ (C) U (M) F

?5. Sj`jct o iurj hrfn tgj idvjb fptdfbs db wgdcg Hdiurj (W) ds jnejmmjm os dts port.

(O) (E) (C) (M)

?3. ]wf mdh hjrjbt pfsdt dfbs fh o mdcj gos ejjb sgfwb ej`fw. Dh = mfts orj ot tgj tfp wgot bunejr

wd`` ej aust ej`fw dt6

(O) ? (E) 3 (C) = (M) :

?=. Oadt ds hottjr tgob Uobadt wgf ds tgdbbjr tgob Egusgob. Nfgob ds tgdbbjr tgob Oadt eut hottjr tgob

Egusgob. ]wf ftgjr njb orj hottjr tgob Oadt. Ygf ds tgj tgdbbjst6

(O) Oadt (E) Uobadt (C) Egusgob (M) Nfgob

?:. Hdvj stumjbts portdc dpotjm db ob jxondbotdfb obm jocg scfrjm mdhh jrjbt norls . Bdmgd sc frjm

gdigjr tgob Nonto. Lovdto scfrjm `fwjr tgob [rosgobt eut gdigjr tgob Bdmgd. Obd`'s scfrj wos

ejtwjjb Nonto obm Bdmgd. Ygdcg fh tgj hf``fwdbi podrs rjprjsjbts tgj gdigjst obm tgj `fwjst

scfrjrs rjspjctdvj`y6 (O) Bdmgd, Lovdto (E) Lovdto, Nonto (C) Obd`, Lovdto (M) [rosgobt, Nonto

?8. Nfgdt ds tgj erftgjr fh Ejjbo. Ejjbo ds tgj wdhj fh Uoa. Uoa ds tgj erftgjr fh Njigo. Ygot ds tgj

rjòtdfb fh Njigo tf Nfgdt6

(O) Sdstjr (E) Sdstjr-db-òw (C) Nftgjr-db-òw (M) Bf spjcdc rjòtdfb

?9. Gfw noby cfbsfbobts orj tgjrj db tgj ej`fw sjqujbcj wgdcg orj dnnjmdotj`y prjcjmjm ey o

synef` obm dnnjmdotj`y hf``fwjm ey o mdidt6

J I = E G 9 : K L 7 M B £ _ Q $ Y 3 C ? 4 * @ E 5 S 8

(O) Fbj (E) ]wf (C) ]grjj (M) Bfbj



37/71

= 8tg DNF - SJ] E

?7. O pd`j fh cuejs fh jquo` sdzj ds orrobijm os sgfwb db tgj iurj.

Bfw tgj e`fcl ds mdppjm dbtf o eucljt hu`` fh rjm podbt sf tgot fb`y

tgj surhocjs fh tgj e`fcl ijt cf`furjm. Gfw noby cuejs orj wdtgfut

oby cf`fur6

(O) 5;

(E) ?=

(C) 3;

(M) ?7

?4. Dh dt ds pfssde`j tf nolj o njobdbihu` wfrm wdtg tgj sjcfbm, tgdrm, htg obm jdigtg `jttjrs fh tgj

wfrm [OUOIUO[G wgdcg fh tgj hf``fwdbi wd`` ej sjcfbm `jttjr fh tgot wfrm6 Dh nfrj tgob fbj sucg

wfrm cob ej nomj, idvj W os tgj obswjr. Dh bf sucg wfrm cob ej nomj, idvj N os tgj obswjr.

(O) W (E) N (C) I (M) [

5;. ]gj trd obi`j, rjctobi`j obm cdrc`j sgfwb gjrj rjspjctdvj`y rjprjsjbt tgj ureob, gorm wfrldbi obm

jmucotjm pjfp`j. Ygdcg fbj fh tgj orjos norljm D-XDD ds rjprjsjbtjm ey tgj ureob gorm wfrldbi

pjfp`j wgf orj bft jmucotjm6

D

XD X XDD

DXDDD

DD

(O) DD (E) D (C) DX (M) DDD


5?. Ygot ds tgj vo`uj fh tgj idvjb jxprjssd fb 6( )?8 8=

:?5 8=

5

3 3

+

∕ (O) = (E) 7 (C) ?8 (M) 8

55. Ygdcg fh tgj hf`` fwdbi pdc turjs oppjors tf govj rftotdfbo` synnjtry 6

(O) (E) (C) (M) Bfbj fh tgjsj

53. Odsgo bjjms tf euy 3;; sgjjts fh cfb struct dfb popjr. ]gj

fhcj supp`y stfrj sj``s cfbstructdfb popjr db tgj hf``fwdbi

pocloijs. Ygdcg fh tgj hf``fwdbi ds tgj `jost jxpjbsdvj woy

hfr Odsgo tf euy 3;; sgjjts fh cfbstructdfb popjr 6

(O) 8 pocloijs fh popjr Y

opjr urc osj

[ocloij Bunejr fh Sgjjts [rdcj

Y

W

T

Q

:;

9:

?;;

?:;

k =.:;

k :.?;

k ?;.9:

k ?5.5:

(E) = pocloijs fh popjr W

(C) 3 pocloijs fh popjr T

(M) 5 pocloijs fh popjr Q



38/71

:8tg DNF - SJ] E

5=. Ygdcg fh tgj hf`` fwdbi stotjnjbts ds DBCFUUJC] hfr rotdfbo` bunejrs6

(O) ]gj rotdfbo` bunejr ; ds tgj ommdtdvj dmjbtdty hfr rotdfbo` bunejrs.

(E) ]gj rotdfbo` bunejr ? ds tgj nu`tdp`dcotdvj dmjbtdty hfr rotdfbo` bunejrs.

(C) Suetroctdfb ds ossfcdotdvj hfr rotdfbo` bunejrs.

(M) ]gjrj orj dbbdtj rotdfbo` bunejrs ejtwjjb oby twf idvjb rotdfbo` bunejrs.

5:. Sf`vj hfr x 1 3 + =8 + 9

> + ?5 + 3

x

x

x

x

(O)?

5 (E) ∕

:

= (C) ? (M) 3

MDUJC]DFB (58 & 59) 1 O eor mdoiron mjpdctdbi tgj cgobijs db tgj stumjbts strjbitg fh o cf``jij db

hfur hocu`tdjs hrfn ?44;-4? tf ?445-43 ds sgfwb.

58. Gfw noby tdnjs wos tgj tfto` strjbitg fh tgj strjbitg fh Cfnnjrcj stumjbts db ?44?-456

(O) 3 tdnjs (E) = tdnjs (C) : tdnjs (M) 8 tdnjs

59. Gfw nucg pjrcjbt wos tgj dbc rjosj db Scdjbcj stumjbts db ?445-43 fvjr ?44;-4? 6

(O) :;% (E) ?:;% (C) 885

3% (M) 9:%

57. Hdbm tgj orjo fh tgj j`m OECMJHIO db wgdcg O@ > 3; n, ON > 9; n, OB > 4; n, OF > ??; n,

OJ > ?3: n, OE > 38 n , @I > =; n, BH > =5 n, NC > := n, obm FM > =8 n.

(O) 4;?; n5 (E) 7;;; n5 (C) 789; n5 (M) 493; n5

54. ]gj pfpu`otd fb fh o cfubtry d s 3.5 Ù ?;8. ]gjrj orj 7 Ù ?;: cgd`mrjb. Hdbm tgj bunejr fh omu`ts.

(O) 3 Ù ?;3 (E) 7 Ù ?;3 (C) 5.= Ù ?;8 (M) 5.= Ù ?;:



39/71

8 8tg DNF - SJ] E

3;. Db tgj ldt j OECM, OM > CM > 7 cn, ∫ OMC > 8;», ∫MCE > ?3;» obm OE > CE . Hdbm ∫ OEC .

(O) :;» (E) =;» (C) 8;» (M) 5:»

3?. O rjctobiuòr pdctur j ds ?8 cn `fbi obm ?; cn sdmj. Dt gos o 5 cn efrmjr orfubm dt os sgfwb db

tgj iurj. Co`cuòtj tgj orjo fh tgj efrmjr, idvdbi yfur obswjr db squorj nd``dnjtrjs.

(O) ?5;; nn5 (E) ?5; nn5 (C) ?5;;; nn5 (M) ?5;;;; nn5

35. ]gj bunejr fh jmijs fh tgj idvjb iurj ds VVVVVV.

(O) ?7

(E) ?5

(C) ?=

(M) ?8

33. Db o poro``j`firon,

Stotjnjbt ? 1 Mdoifbo`s edsjct jocg ftgjr.

Stotjnjbt 5 1 Mdoifbo`s mdvdmj tgj poro``j`firon dbtf twf trd obi`js.

(O) Fb`y stotjnjbt ? ds truj. (E) Fb`y stotjnjbt 5 ds truj.

(C) Eftg stotjnjbt ? obm 5 orj truj. (M) Eftg stotjnjbt ? obm 5 orj ho`sj.

3=. O eoi cfbtodbs = rjm, 3 pdbl obm 7 wgdtj eo``s. Fbj eo`` ds mrowb ot robmfn. Hdbm tgj prfeoed`dt y

tgot tgj eo`` mrowb ds bft rjm.

(O)?

: (E)

7

?? (C)

??

?: (M)

3

??

3:. Dh x + ?

x

> : ,

bm tgj voùj fh x + ?

x

.==

(O) 7 (E) 3 (C) : (M) 9

38. O sun fh k 5:=; ds `jbt fu t dbtf t wf ports , fbj ot ?5 % obm obftgjr fbj ot ?5 ?

5% . Dh tgj tfto`

obbuo` dbcfnj ds k 3??.8;, tgj nfbjy `jbt ot ?5 % ds VVVVV.

(O) k ??7; (E) k ?38; (C) k ?5=; (M) k ?3=;

39. ]gj `jbitg fh `fbijst pf`j tgot cob ej pòcjm fb tgj ffr fh o rffn ds ?; n obm tgj `jbitg fh

tgj `fbijst pf`j tgot cob ej pòcjm db tgj rffn ds ?; 5 n. ]gj gjdigt fh tgj rffn ds VVVVV.

(O) 8 n (E) 9.: n (C) 7 n (M) ?; n



40/71

98tg DNF - SJ] E

37. O trjj dbcrjosjs obbuo``y ey?

7

tg fh dts gjdigt. Ey gfw nucg wd`` dt dbcrjosj ohtjr 5 yjors, dh dt

stobms tfmoy 8= cn gdig6

(O) 95 cn (E) 9= cn (C) 9: cn (M) 7? cn

34. Ygot ds tgj sno``jst bunejr ey wgdcg 38;; ej mdvd mjm tf nolj dt o pjrhjct cuej6

(O) 4 (E) :; (C) 3;; (M) =:;

=;. Dh x 1 y > 5 1 3 obm 5 1 x > ? 1 5, tgjb tgj voùj fh y ds VVVVVV.

(O) = (E) 8 (C) ?

3 (M)

3

5


=?. O efot ifjs mfwbstrjon obm cfvjrs tgj mdstobcj ejtwjjb twf pfr ts db = gfurs , wgd`j dt cfvjrs

tgj sonj mdstobcj upstrjon db : gfurs. Dh tgj spjjm fh tgj strjon ds 5 ln/gr, bm tgj spjjm fh

efot db std`` wotjr.

(O) ?8 ln/gr (E) ?7 ln/gr (C) 5; ln/gr (M) ?: ln/gr

=5. Iordno wobts tf pòbt :;85: rfsjs obm orrobijs tgjn db suc g o woy tgot tgjrj orj os noby rfws

os tgjrj orj rfsjs db o rfw. ]gj bunejr fh rfsjs db o rfw orj VVVVV.

(O) 38: (E) ?8: (C) 85: (M) 55:

=3. @otdlo fwbs o nfed` j wfrtg k ?;;;;. Sgj sj``s dt tf [rdyo ot o prft fh ?;% eosjm fb tgj wfrtg

fh tgj nfed`j. [rdyo sj``s tgj nfed`j eocl tf @otdlo ot o `fss fh ?;%. Db tgds trobsoctdfb @otdlo

ijts VVVVVV.

(O) Bf prft bf `fss (E) [rft fh k ?;;; (C) [rft fh k ??;; (M) @fss fh k ??;;

==. O tromjr `dst s gds ort dc`js 5;% oefvj C.[. obm o``fws o mdscfubt fh ?;% fb cosg poynjbt. Gds iodb

pjrcjbt ds VVVVVV.

(O) ?;% (E) 7% (C) 8% (M) :%

=:. ]gj vfùnj fh o wo``, : tdnjs os gdig os dt ds er fom obm 7 tdnjs os `fbi os dt ds gdig, ds ?5.7 n3.

]gj erjomtg fh tgj wo`` ds VVVVVV.

(O) 3; cn (E) =; cn (C) 55.: cn (M) 5: cn

=8. O swdnndbi pff` ds 5: n `fbi, ?: n erfom obm : n mjjp. Hdbm tgj cfst fh cjnjbtdbi dts ffr

obm tgj wo``s ot tgj rotj fh k ?; pjr sq. njtrj.

(O) k 37=; (E) k 99:; (C) k 848; (M) Bfbj fh tgjsj

=9. ]gj voùj fh o nocgdbj mjprjcdotjs jvjry yjor ot tgj rotj fh ?;% fb dt s voùj ot tgj ejidbbdbi fh

tgot yjor. Dh tgj prjsjbt voùj fh tgj nocgdbj ds k 954, dts wfrtg 3 yjors oif wos VVVVV.

(O) k 4=9.?; (E) k 7;; (C) k ?;;; (M) k 9:;.79

=7. ]gj pfpuòtd fb fh tgj wfr `m db 5;;; wos 8.: Ù ?;4. Dt ds jstdnotjm tgot ey 5;9; tgj pfpuòtdfb fh

tgj wfr`m wd`` ej ?.;3 Ù ?;?;. Hdbm tgj jstdnotjm dbcrjosj db tgj pfpuòtdfb hrfn 5;;; tf 5;9;.

(O) =.7 Ù ?;7 (E) 3.7 Ù ?;4 (C) ?;.3 Ù ?;4 (M) 3.7 Ù ?;7

=4. [rotdl gom k =5:.75 db gds occfubt. Gfw nuc g mfjs gj govj db gds occfubt ohtjr gj noljs o mjpfsdt

fh k ?5;.9: obm o wdtgmrowo` fh k ?7:.4;6

(O) k ?58.75 (E) k :37.75 (C) k 83;.98 (M) k 38;.89



41/71

7 8tg DNF - SJ] E

:;. ]grjj mdhhjrjbt cfbtodbjrs cfbtodb mdhhjrjbt quo`dtdjs fh ndxturjs fh nd`l obm wotjr, wgfsj

njosurjnjbts orj =;3 li, =3= li obm =8: li. Ygot ediijst njosurj nust ej tgjrj tf njosurj

o`` tgj mdhhjrjbt quobtdtdjs jxoct`y6

(O) ? li (E) 9 li (C) 3? li (M) =? li




42/71

9tg

Tjor 5;?3

SJ] O

C`oss 7



43/71

5 9tg DNF - Sjt O

?. Sj`jct o iurj hrfn tgj fptdfbs wgdcg wd`` cfbtdbuj

tgj sjrdjs jstoe`dsgjm ey tgj hfur prfe`jn iurjs.

O.

E.

C.

M.

5. [fdbtdbi tf o nob db o pgftfiropg, o wfnob soys,

"Gj ds tgj fb`y sfb fh tgj fb`y mouigtjr-db-òw fh

ny fb`y sfb's hotgjr." Gfw ds tgj nob rjòtjm tf

tgj wfnob6

O. Sfb

E. Hotgjr

C. Sfb-db-òw

M. Irobmsfb

3. Ygdcg fh tgj hf``fwdbi fptdfbs wd`` cfnp`jtj tgj

pottjrb db iurj (W)6

Hdiurj (W)

O.

E.

C.

M.

=. Orrobij tgj idvjb wfrms db o njobdbihu` sjqujbcj

obm tgjb cgffsj tgj nfst opprfprdotj sjqujbcj.

?. Cuttdbi 5. Mdsg

3. Xjijtoe`j =. Norljt

:. Cffldbi

O. ?, 5, =, :, 3

E. 3, 5, :, ?, =

C. =, 3, ?, :, 5

M. :, 3, 5, ?, =

:. Dh db o cjrtodb cfmj ‗:8=3?— ds wrdttjb os ‗USG]Z—

obm ‗4759;— os ‗N@L[O—, tgjb gfw wd`` ‗4:?9— ej

wrdttjb db tgj sonj cfmj6

O. NZU[

E. NUZ[

C. NU[Z

M. NU[]

8. Uonob wo`ls :; n Bfrtg. ]gjb gj turbs rdigt obm

wo`ls 3; n. ]gjb gj turbs rdigt obm wo`ls 3: n. ]gjb

gj turbs `jht obm wo`ls ?: n. ]gjb gj oiodb turbs

rdigt obm wo`ls ?: n. Db wgdcg mdrjctdfb obm gfw

noby njtrjs owoy ds gj hrfn gds frdidbo` pfsdtdfb6

O. =: njtrjs Yjst

E. 3; njtrjs Jost

C. 3; njtrjs Yjst

M. =: njtrjs Jost

9. Fut fh tgj hfur iurjs norljm (o), (e), (c) obm (m)

tgrjj orj sdndòr db o cjrtodb nobbjr. Gfwjvjr, fbj

iurj ds bft `dlj tgj ftgjr tgrjj. Cgffsj tgj iurj

wgdcg ds mdhhjrjbt hrfn tgj rjst.

O. o

E. e

C. c

M. m

7. Gfw noby mfts `dj fppfsdtj tf tgj hocj govdbi

tgrjj mfts, wgjb tgj idvjb iurj ds hf`mjm tf hfrn ocuej6

O. 5

E. =

C. :

M. 8

@FIDCO@ UJOSFBDBI



44/71

39tg DNF - Sjt O

4. Sj`jct o iurj hrfn tgj fptdfbs, wgdcg sotdsjs tgj sonj

cfbmdtdfbs fh pòcjnjbt fh tgj mft os db iurj (W).

Hdiurj (W)

O.

E.

C.

M.

?;. Idvjb qujstdfb cfbsdsts fh o sjt fh tgrjj iurjs W,

T obm Q sgfwdbi o sjqujbcj fh hf`mdbi fh o pdjcj fh

popjr. Hdi. (Q) sgfws tgj nobbjr db wgdcg tgj hf`mjm

popjr gos ejjb cut. Cgffsj o iurj hrfn tgj fptdfbs

wgdcg wfu`m nfst c`fsj`y rjsjne`j tgj ubhf`mjm hfrn

fh pdjcj fh popjr.

O.

E.

C.

M.

??. Dh 'Ù' njobs 'ds hotgjr fh ', '+' njobs 'ds sdstjr fh ', '–'

njobs 'ds erftgjr fh ', obm 'ù' njobs 'ds nftgjr fh ',

tgjb wgdcg fh tgj hf``fwdbi stotjnjbts njobs 'S ds

irobm-mouigtjr fh ['6

O. [ Ù ] + U ù S

E. [ ù _ – U ù S – ]

C. [ Ù U – ] Ù S

M. [ ù _ – U Ù S + ]

?5. Stumy tgj hf``fwdbi orrobijnjbt corjhu``y obm obswjr

tgj qujstdfb idvjb ej`fw1

U M O L : E D 5 N A J B 4 9 Z Q X ? Y 3 G = H T 7 [ 8 ] I

Gfw noby sucg cfbsfbobts orj tgjrj db tgj oefvj

orrobijnjbt jocg fh wgdcg ds dnnjmdotj`y prjcjmjm ey

o vfwj` obm dnnjmdotj`y hf``fwjm ey o bunejr6

O. Bfbj

E. Fbj

C. ]wf

M. ]grjj

?3. ]gjrj ds o squorj trobsporjbt sgjjt wdtg o idvjb pottjrb

ds idvjb. Hdiurj fut hrfn tgj fptdfbs os tf gfw tgj

pottjrb wfu`m oppjor wgjb tgj trobsporjbt sgjjt ds

hf`mjm o`fbi tgj mfttjm `dbj.

O.

E.

C.

M.

?=. Ygdcg fh tgj hf``fw dbi Xjbb mdoirons ejst

d`ùstrotjs tgj rjòtdfbsgdp onfbi tgj tgrjj còssjs 1"]rucl, Sgdp, Iffms"6

O.

E.

C.

M.

?:. Db o cjrtodb cfmj òbiuoij 'db pj eo' njobs 'gj ds ̀ otj' ,

'`j eo sj' njobs 'sgj ds jor`y' obm ' po to db' njobs

'gj `jovjs sffb' . Ygdcg wfrm db tgot òbiuoij njobs

òtj 6

O. pj

E. db

C. eo

M. Moto ds dbomjquotj



45/71

= 9tg DNF - Sjt O

?8. Sj`jct tgj podr tgot gos o rjòtdfbsgdp sdndòr tf idvjb

podr.

O.

E.

C.

M.

?9. Sj`jct o iurj hrfn tgj fptdfbs db wgdcg iurj (W)

ds jnejmmjm os fbj fh dts port.

O.

E.

C.

M.

?7. Ygdcg bunejr wd`` rjpòcj tgj qujstdfb norl db

bunejr pottjrb6

O. ?;;

E. 38?

C. 374

M. =;;

?4. Sj`jct o iurj hrfn tgj fptdfbs wgdcg ds tgj ndrrfr-

dnoij fh tgj [rfe`jn Hdiurj.

O.

E.

C.

M.

5;. Ndbdnun bunejr fh strodigt `dbjs rjqudrjm tf hfrn

tgj idvjb iurj ds VVVVVVVVVV.

O. 55

E. 5;

C. ?7

M. 5=

NO]GJNO]DCO@ UJOSFBDBI

5?. ]gj idvjb iurj sgfws o cuefdm wdtg o tfto` surhocj

orjo 5;5 cn5. Hdbm tgj vfùnj fh cuefdm.

O. 95 cn3

E. 38 cn3

C. ?7; cn3

M. 5;; cn3

55. ]gj sdnp`djm voùj fh 5 3 9 3

3 5 ?

3

? ?

5

?

⋊ + ⋊

∕

+ ∕

+∕

b b

b

b

ds

O. ?

E. 3

C. –?

M. ;



46/71

:9tg DNF - Sjt O

53. ]gj pdj cgort sgfws o pjrcjbtoij erjolmfwb fh

?;;; vftjs db stumjbt j`jctdfbs. Gfw noby vftjs mdm

Susgobtg rjcjdvj6

O. ::;

E. 3:;

C. 33;

M. =:;

5=. ]gj mdvdsdfb fh rotdfbo` bunejrs ds

O. Cfnnutotdvj

E. Ossfcdotdvj

C. Bjdtgjr cfnnutotdvj bfr ossfcdotdvj

M. Eftg O obm E

5:. Dh (o + e) 1 (e + c) 1 (c + o) > 8 1 9 1 7 obm

o + e + c > ?=, tgjb bm tgj voùj fh c.

O. 8

E. 7

C. ?=

M. 9

58. Dh = x + = x + = x + = x + = x + = x + = x + = x >?

:?5 , tgjb

wgot ds tgj voùj fh∕3 x

6

O. ;.:;

E. ;.9:

C. –;.9:

M. –=.5:

59. Cfbsdmjr tgj idvjb mdoiron. (iurj bft mrowb tf

sco`j)

Dh tgj orjo fh OECM ds jquo` tf tgj orjo fh MJGI, tgjb tgj rotdf fh orjo fh sgomjm tf ubsgomjm

port ds VVVVVV .

O. 95 1 ??3

E. ? 1 :

C. 58 1 ??3

M. 38 1 ??3

57. Hdbm tgj bunejr fh cfdbs, ?.: cn db mdonjtjr obm

;.5 cn tgdcl, tf ej nj`tjm tf hfrn o rdigt cdrcuòr

cy`dbmjr wdtg o gjdigt fh ?; cn obm o mdonjtjr fh

=.: cn.

O. =:;

E. 348

C. 34;

M. =?;

54. Db tgj idvjb hdiur j, OEC M ds o rgfneus obm

∫ ECM > 7;». Hdbm x obm y rjspjctdvj`y.

O. =;», 5;»

E. 9;», :;»

C. 7;», 3;»

M. :;», =;»

3;. ]gj voùj fh5

?

=?

?

3? 3

3

7

5

3Ù

+ ù

ds VVVVVVVVV.

O.3

?

3

E. =?

8

C. ??

3

M. :?

5

3?. Hdbm tgj squorj rfft fh 8??:

574.

O. 5.=?;

E. 5.:54

C. 5.??3 M. 5.=75

35. ]grjj bunejrs orj db tgj rotdf 3 1 5 1 ?. ]gj sun fh

tgjdr cuejs ds 5=845=. Hdbm tgj òrijst bunejr.

O. :?

E. 37

C. 8?

M. :9

33. ]gj orjo fh o rjctobi`j ds idvjb ey 8 x5 y + = y5 x obm

tgj wdmtg fh tgj rjctobi`j ds idvjb ey 5 xy. Hdbm tgj

pjrdnjtjr fh rjctobi`j. O. 8 x + 7 y + 5 xy

E. 3 x + = y + 5 xy

C. 7 x + 8 y + = xy

M. 8 x + = y + = xy

3=. Mdhhjrjbcj ejtwjjb sno``jst =-mdidt pjrhjct squorj

obm irjotjst =-mdidt pjrhjct squorj ds

O. 7999

E. ?;?5

C. 47;?

M. 9999



47/71

8 9tg DNF - Sjt O

3:. Ygdcg sf`dm wfu`m ej hfrnjm ey tgj idvjb bjt6 O. ]rdobiu`or [yrondm

E. Squorj [yrondm

C. Gjxoifbo` [yrondm

M. Ujctobiu`or [yrondm

38. O modrynob poys k 8.=; pjr `dtrj fh nd`l. Gj omms

wotjr obm sj``s tgj ndxturj ot k 7 pjr `dtrj, tgjrjey

noldbi 39.:% prft. ]gj prfpfrtdfb fh wotjr tf nd`l

rjcjdvjm ey tgj custfnjrs ds

O. ? 1 ?;

E. ? 1 ?5

C. ? 1 ?:

M. ? 1 5;

39. O rjs : sgfts tf E—s 3 eut O ld``s fb`y fbcj db 3 sgfts

wgd`j E ld``s fbcj db 5 sgfts. Ygjb E gos ndssjm 59

tdnjs, O gos ld``jm

O. 3; edrms

E. 8; edrms

C. 95 edrms

M. 4; edrms

37. Solsgd cob mf o pdjcj fh wfrl db 5; moys. ]obyo ds

5:% nfrj jhcdjbt tgob Solsgd. ]gj bunejr fh moys

toljb ey ]obyo tf mf tgj sonj pdjcj fh wfrl ds

O. ?:

E. ?8

C. ?7

M. 5:

34. Omon efrrfwjm sfnj nfbjy ot tgj rotj fh 8% p.o.

hfr tgj rst twf yjors, ot tgj rotj fh 4% p.o. hfr tgj

bjxt tgrjj yjors, obm ot tgj rotj fh ?=% p.o. hfr tgj

pjrdfm ejyfbm vj yjors. Dh gj poys o tfto` dbtjrjst fh

k ??,=;; ot tgj jbm fh bdbj yjors, gfw nucg nfbjy

mdm gj efrrfw6

O. k ?5,;;;

E. k ?3,;;;

C. k ??,;;;

M. k ?=,;;;

=;. O nob wo`ldbi ot tgj spjjm fh = ln/gr crfssjs o

squorj j`m mdoifbo``y db 3 ndbutjs. ]gj orjo fh tgj

j`m ds

O. ?7;;; n5

E. ?4;;; n5

C. 5;;;; n5

M. 5:;;; n5

=?. O irfup fh stumjbts mjcdmjm tf cf``jct os noby podsj

hrfn jocg njnejr fh tgj irfup os ds tgj bunejr fh

njnejrs. Dh tgj tfto` cf``jctdfb onfubts tf k :4.54,

tgj bunejr fh njnejrs db tgj irfup ds

O. :9

E. 89

C. 99

M. 79

=5. Gdtjsg ds =; yjors f`m obm Ufgdt ds 8; yjors f`m. Gfw

noby yjors oif wos tgj rotdf fh tgjdr oijs 3 1 :6

O. : yjors

E. ?; yjors

C. 5; yjors

M. 39 yjors

=3. Nfbdlo purcgosjm o prjssurj cffljr ot4

?;

tg

fh

dts sj``dbi prdcj obm sf`m dt ot 7% nfrj tgob dts S.[.

Hdbm gjr iodb pjrcjbt.

O. 5;%

E. ?;%

C. 3;%

M. =;%

==. Sobljt jorbs twdcj os nucg db tgj nfbtg fh Norcgos db jocg fh tgj ftgjr nfbtgs fh tgj yjor. Ygot

port fh gds jbtdrj obbuo` jorbdbis wos jorbjm db

Norcg6

O.?

9

E.?

8

C.5

??

M.5

?3

=:. O pdbjopp`j cfsts k 9 jocg. O wotjrnj`fb cfsts

k : jocg. W spjbms k 37 fb tgjsj hrudts. ]gj bunejr

fh pdbjopp`js purcgosjm ds

O. 5

E. 3

C. =

M. Moto ds dbomjquotj

JXJUTMOT NO]GJNO]DCS



48/71

99tg DNF - Sjt O

=8. Sj`jct tgj DBCFUUJC] notcg wdtg rjspjct tf tgj

rjprjsjbtotdfb fh bunejrs fb tgj bunejr `dbj.

O. Boturo` Bunejrs ]gj ̀ dbj jxtjbms dbmjbdtj`y

fb`y tf tgj rdigt sdmj fh ?.

E. Ygf`j Bunejrs ]gj ̀ dbj jxtjbms dbmjbdtj`y

tf tgj rdigt, eut hrfn ;.

]gjrj orj bf bunejrs tf

tgj `jht fh ;.

C. Dbtjijrs ]gj ̀ dbj jxtjbms dbmjbdtj`y

fb eftg sdmjs obm yfu cob

sjj bunejrs ejtwjjb –?, ;<

;, ?, jtc.

M. Uotdfbo` Bunejrs ]gj ̀ dbj jxtjbms dbmjbdtj`y

fb eftg sdmjs obm yfu cob

sjj bunejrs ejtwjjb –?, ;<

;, ?, jtc.

=9. Ygdcg fh tgj hf``fwdbi Xjbb mdoirons ds rdigt6

D DD

O. Fb`y D rdigt

E. Fb`y DD rdigt

C. Eftg D obm DD orj rdigt

M. Eftg D obm DD orj wrfbi.

=7. O scgff` gos 7 toe`js fh mdnjbsdfbs ? n ey ? n,

58 toe`js fh mdnjbsdfbs x n ey ? n obm ?: toe`js

fh mdnjbsdfbs x n ey x n. O`` tgj toe`js orj fh

jquo` gjdigt.

Eosjm fb tgds dbhfrnotdfb obswjr tgj qujstdfb idvjb

ej`fw1

Dh tgj toe`js orj pòcjm tfijtgjr tf hfrn o òrij

rjctobiuòr toe`j, tgjb tgj mdnjbsdfb fh tgj toe`j

hfrnjm ds VVVVVVVVVV.

O. (3 x + =)(: x + 5)

E. (3 x – =)(: x – =)

C. (: x – =)(= x – =)

M. (: x – =)(: x + =)

=4. Stumy tgj twf stotjnjbts idvjb ej`fw corjhu``y.

Stotjnjbt ? 1 O pyrondm ds o pf`ygjmrfb wgfsj

eosj obm tfp orj cfbirujbt pf`yifbs obm wgfsj

ftgjr hocjs d.j., òtjro` hocjs orj poro``j`firons db

sgopj.

Stotjnjbt 5 1 O prdsn ds o pf`ygjmrfb wgfsj eosj

ds o pf`yifb (fh oby bunejr fh sdmjs) obm wgfsj

òtjro` hocjs orj trdobi`js wdtg o cfnnfb vjrtjx.

O. Stotjnjbt-? ds truj obm Stotjnjbt-5 ds ho`sj.

E. Stotjnjbt-? ds ho`sj obm Stotjnjbt-? ds truj.

C. Eftg tgj stotjnjbts orj truj.

M. Eftg tgj stotjnjbts orj ho`sj.

:;. Notcg tgj sf`dms db Cfùnb-D wdtg tgjdr tfp vdjw

db Cfùnb-DD.

Cfùnb-D Cfùnb-DD

(o) (p)

(e) (q)

(c) (r)

(m) (s)

O. (o) ↕ (p)< (e) ↕ (q)< (c) ↕ (r)< (m) ↕ (s) E. (o) ↕ (q)< (e) ↕ (p)< (c) ↕ (r)< (m) ↕ (s)

C. (o) ↕ (q)< (e) ↕ (r)< (c) ↕ (s)< (m) ↕ (p)

M. (o) ↕ (q)< (e) ↕ (r)< (c) ↕ (p)< (m) ↕ (s)

OCGDJXJUS SJC]DFB




49/71

9tg

Tjor 5;?3

SJ] E

C`oss 7



50/71

5 9tg DNF - Sjt E

?. ]gjrj ds o mjbdtj rjòtdfbsgdp ejtwjjb iurjs ? obm

5. Jstoe`dsg o sdndòr rjòtdfbsgdp ejtwjjb iurjs

3 obm = ey sj`jctdbi o sudtoe`j hdiurj hrfn tgj

fptdfbs tgot wfu`m rjpòcj tgj qujstdfb norl (6) db

iurj =.

[rfe`jn iurj

O.

E.

C.

M.

5. O sjt fh iurjs corrydbi cjrtodb bunejrs, ds idvjb.

Ossundbi tgot tgj bunejr db jocg sjt hf``fws o sdndòr

pottjrb, bm tgj ndssdbi bunejr.

O. 3:

E. =7

C. 95

M. ?5;

3. Stumy tgj mdoiron idvjb gjrj obm obswjr tgj qujstdfb

tgot hf``fws.

Yfrljrs wgf orj njnejrs

fh Zbdfb.

Yfrljrs wgf orj gormwfrldbi.

Yfrljrs wgf orj jxpjrdjbcjm

Bunejr = rjprjsjbt 1

O. Njnejrs fh tgj Zbdfb.

E. Njnejrs fh tgj Zbdfb os wj`` os gormwfrldbi

obm jxpjrdjbcjm wfrljrs.

C. Gormwfrldbi obm jxpjrdjbcjm wfrljrs bft

njnejrs fh tgj Zbdfb.

M. Gormwfrldbi wfrljrs njnejrs fh tgj Zbdfb wgf

orj bft jxpjrdjbcjm.

=. Dh jocg fh tgj ̀ jttjrs db tgj Jbi`dsg o`pgoejt ds ossdibjm

fmm bunjrdco` voùj ejidbbdbi O > ?, E > 3 obm sf

fb, wgot wd`` ej tgj tfto` voùj fh tgj `jttjrs fh tgj

wfrm DBMDOB6

O. 78 E. 77

C. 74

M. 48

:. Hdbm fut gfw wd`` tgj ljy iurj (W) `ffl `dlj ohtjr

4;» rftotdfb c`fclwdsj6

O.

E.

C.

M.

8. Sj`jct o sudtoe`j iurj hrfn tgj fptdfbs wgdcg wd``

rjpòcj tgj qujstdfb norl sf tgot o cfnp`jtj sjrdjs

ds hfrnjm.

O.

E.

C.

M.

9. Dh stobms hfr ‗ommdtdfb—, stobms hfr ‗suetroctdfb—,

stobms hfr ‗mdvdsdfb—, stobms hfr ‗nu`tdp`dcotdfb—

obm stobms hfr ‗jquo` tf—, tgjb wgdcg fh tgj hf``fwdbi

fptdfbs ds cfrrjct6

@FIDCO@ UJOSFBDBI



51/71

39tg DNF - Sjt E

O. 9 =3 8 ? =

E. 3 8 5 3 8 :

C. : 9 3 5 =

M. 5 : 8 5 8

7. ]gj mdidts fh jocg fh tgj hf``fwdbi vj bunejrs orj

wrdttjb db rjvjrsj frmjr obm vj bjw bunejrs orj

fetodbjm 1

:?3 958 =45 78: ?=4

Ygdcg fh tgj hf``fwdbi wd`` ej tgj tgdrm mdidt fh tgj

sjcfbm gdigjst bjw bunejr6

O. ?

E. :

C. 9

M. 7

4. O sf`dm cuej fh jocg sdmj 7 cns, gos ejjb podbtjm rjm,

eùj obm eòcl fb podrs fh fppfsdtj hocjs. Dt ds tgjb cut

dbtf cuedco` e`fcls fh jocg sdmj 5 cns.

Gfw noby cuejs govj bf hocj podbtjm6

O. ;

E. =

C. 7

M. ?5

?;. Sj`jct o iurj hrfn onfbist tgj fptdfbs wgdcg wgjb

pòcjm db tgj eòbl spocj fh iurj (W) wfu`m cfnp`jtj

tgj pottjrb.

O.

E.

C.

M.

??. Idvjb tgot

?. [ ds tgj nftgjr fh _.

5. U ds tgj sfb fh [.

3. S ds tgj erftgjr fh ].

=. ] ds tgj mouigtjr fh _.

]gj irobmnftgjr fh S ds VVVV.

O. [

E. _

C. U

M. ]

?5. Db o mdbbjr porty eftg sg obm njot wjrj sjrvjm.Sfnj tffl fb`y sg obm sfnj fb`y njot. ]gjrj wjrj

sfnj vjijtordobs wgf mdm bft occjpt jdtgjr. ]gj rjst

occjptjm eftg sg obm njot. Ygdcg fh tgj hf``fwdbi

`fidc mdoirons cfrrjct`y rjjcts tgds sdtuotdfb6

O.

E.

C.

M.

?3. ]gj idvjb qujstdfb cfbsdst fh o sjt fh tgrjj iurjs

?, 5 obm 3 sgfwdbi o sjqujbcj fh hf`mdbi fh o pdjcj

fh popjr. Hdiurj (3) sgfws tgj nobbjr db wgdcg tgj

hf`mjm popjr gos ejjb cut. Cgffsj o hdiurj hrfn

tgj fptdfbs wgdcg wfu`m nfst c`fsj`y rjsjne`j tgj

ubhf`mjm hfrn fh pdjcj fh popjr.

O.

E.

C.

M.



52/71

= 9tg DNF - Sjt E

?=. Cfubt tgj bunejr fh pjbtoifbs db tgj idvjb iurj.

O. ?8

E. ?5

C. 7

M. Bfbj fh tgjsj

?:. ]gjrj ds o mjhdbdtj rjòtdfbsgdp ejtwjjb hdiurjs

? obm 5. Jstoe`dsg o sdndòr rjòtdfbsgdp ejtwjjb

iurjs 3 obm = ey sj`jctdbi o sudtoe`j iurj hrfn tgj

fptdfbs tgot wfu`m rjpòcj tgj qujstdfb norl (6) db

iurj (=).

O.

E.

C.

M.

?8. Hdbm tgj ndssdbi bunejr db tgj idvjb bunejr pottjrb.

O. 5:

E. ?5:

C. ?:8

M. 85:

?9. Stumy tgj bunejr sjrdjs idvjb ej`fw obm obswjr tgj

qujstdfb tgot hf``fws.

8 = ? 5 5 7 9 = 5 ? : 3 7 8 5 ? 9 ? = ? 3 5 7 8

Gfw noby podrs fh o`tjrbotj bunejrs govj o

mdhhjrjbcj fh 56

O. Fbj

E. ]wf

C. ]grjj

M. Hfur

?7. ]gj hf``fwdbi qujstdfb ds eosjm fb tgj mdoiron idvjb

ej`fw sgfwdbi hfur pjrsfbs stotdfbjm ot tgj hfur

cfrbjrs fh o squorj rjidfb os sgfwb.

Hrfn tgj frdidbo` pfsdtdfb idvjb db tgj oefvj iurj,

O obm E nfvj fbj orn `jbitg c`fclwdsj obm tgjb

crfss fvjr tf tgj cfrbjr mdoifbo``y fppfsdtj< C obm

M nfvj fbj orn `jbitg obtd-c`fclwdsj obm crfss

fvjr tgj cfrbjr mdoifbo``y fppfsdtj. ]gj frdidbo`

cfbiurotdfb OMEC gos bfw cgobijm tf

O. CEMO

E. EMOC

C. MOCE

M. OCEM

?4. Sj`jct tgj fbj hrfn tgj fptdfbs wgdcg sotdshdjs

tgj sonj cfbmdtdfbs fh pòcjnjbt fh tgj mfts os db

iurj (W).

O.

E.

C.

M.

5;. Hdvj idr`s orj sdttdbi db o rfw hocdbi sfutg. [rdyo ds

bft omaocjbt tf Sgo`dbd fr Bdtd. [rdtd ds bft omaocjbt tf

Sgo`dbd obm ds ot jxtrjnj rdigt jbm. [rdyo ds omaocjbt

tf Nogd. Nogd ds ot tgj ndmm`j db tgj rfw. ]gjb, [rdtd

ds omaocjbt tf wgfn fut fh tgj hf``fwdbi6

O. [rdyo

E. Sgo`dbd

C. Bdtd

M. Nogd



53/71

:9tg DNF - Sjt E

NO]GJNO]DCO@ UJOSFBDBI

5?. Dh 3 x+y > 7? obm 7? x – y > 37, tgjb bm tgj voùjs fh

x obm y rjspjctdvj`y.

O. 3, ?

E. ?, 3

C. –?, 3

M. –?, –3

55. ]gj idvjb iurj sgfws o sjt fh cfbcjbtrdc squorjs. Dh

tgj mdoifbo` fh tgj dbbjrnfst squorj ds 5 ubdts, obm dh

tgj mdstobcj ejtwjjb tgj cfrrjspfbmdbi cfrbjrs fh oby

twf succjssdvj squorjs ds ? ubdt, bm tgj mdhhjrjbcj

ejtwjjb tgj orjos fh tgj jdigtg obm tgj sjvjbtg

squorjs, cfubtdbi hrfn tgj dbbjrnfst squorj.

O. 37 ubdts

E. =; ubdts

C. 3; ubdts

M. 5; ubdts

53. Dh x 1 y > : 1 ?5, y 1 z > 7 1 3 obm z 1 w > 4 1 ?8 tgjb

bm x 1 w.

O. : 1 ?8

E. : 1 4

C. : 1 ?;

M. : 1 7

5=. Sdnp`dhy 1

o e c o e c oe ec co

5 7 : = 8= 5: ?8 =; ?;

5 5 5

+ -è

çééé

ø

÷ùùù + + - + +è

çééé

ø

÷ùùùù

O. o e c oec

3 3 3

7 :?5 ?5:3

7;+ - +

E.o e c oec

3 3 3

7 :?5 ?5:

3

7;+ + +

C.o e

c oec

3 3

3

7 :?5

3

7;- + -

M. o3 + e3 + c3 – 3oec

5:. Hoctfrdzj x3 p5 – 7 y3 p5 – = x3q5 + 35 y3q5.

O. ( p + 5q)( p – 5q) ( x5 – 5 xy + = y5)

E. ( p – 5

q)( x

5 + 5 xy + = y

5

)( x – 5

y) C. ( p + 5q)( p – 5q)( x – 5 y)( x5 + 5 xy + = y5)

M. ( p + 5q)( x5 + 5 xy + = y5)

58. Dmjbtdhy tgj wrfbi stjp db tgj cfbstructdfb fh quomrdòtjro`

OECM, wgjrj OE > = cn, EC > : cn, CM > 8.: cn,

∫ E > ?;:» obm ∫C > 7;».

Stjp-? 1 Stort wdtg toldbi EC > : cn. Fb E, mrow

ob obi`j fh ?;:» o`fbi EW obm 7;» o`fbi CT .

Stjp-5 1 @fcotj O = cn owoy fb EW . Yj bfw govj

E, C obm O. ]gj hfurtg pfdbt M ds fb CT .

Stjp-3 1 M ds ot o mdstobcj fh 8.: cn fb CT . Ydtg

O os cjbtrj, mrow ob orc fh `jbitg 8.: cn. Dt cuts

CT ot M.

Stjp-= 1 Cfnp`jtj tgj quomrdòtjro` OECM. OECM ds

tgj rjqudrjm quomrdòtjro`.

O. Stjp-?E. Stjp-5

C. Stjp-3

M. Stjp-=

59. Ygdcg fh tgj hf``fwdbi prdnj hoctfrdsotdfb ds usjm

tf bm tgj cuej rfft fh ?375=6

O. 5 Ù 5 Ù 5 Ù 5 Ù 5 Ù 5 Ù 5 Ù 5 Ù 5 Ù 3 Ù 3 Ù 3

E. 5 Ù 5 Ù 5 Ù 5 Ù 5 Ù 5 Ù 5 Ù 5 Ù 5 Ù 5 Ù 3 Ù 3 Ù 3

C. 3 Ù 3 Ù 3 Ù 5 Ù 5 Ù 5 Ù 5 Ù 5 Ù 5 Ù 5 Ù 5

M. 3 Ù 3 Ù 3 Ù 3 Ù 5 Ù 5 Ù 5 Ù 5 Ù 5 Ù 5 Ù 5 Ù 5

57. Zsdbi Ju`jr—s hfrnuò, bm tgj voùj fh [, _ obm U.

Hocjs 7 : _

Xjrtdcjs [ 8 ?3

Jmijs ?5 U 3;

[ _ U

O. 8 ?4 4

E. 8 ?7 ?;

C. 9 5; 4

M. 4 8 5;

54. Ygdcg fh tgj hf``fwdbi mfjs bft vory mdrjct`y6

O. Spjjm fh o vjgdc`j obm tdnj toljb tf cfvjr o xjm

mdstobcj

E. Bunejr fh moys wfrljm obm onfubt fh jorbdbi

C. Bunejr fh effls obm tgjdr prdcj

M. Bunejr fh ubdts fh currjbt usjm obm onfubt fh

cgorij hfr cfbsunptdfb

3;. ]gj òrijst :-mdidt bunejr jxoct`y mdvdsde`j ey 4?

ds

O. 4445?

E. 444?7

C. 4447? M. 4449?

3?. ]gj sdnp`j dbtjrjst fb o cjrtodb sun fh nfbjy hfr

5 yjors ot 8% pjr obbun ds k 3;;. ]gj cfnpfubm

dbtjrjst ot tgj sonj rotj obm hfr tgj sonj tdnj wd``

ej1

O. k 3?;

E. k 3;7

C. k 3;9

M. k 3;4



54/71

8 9tg DNF - Sjt E

35. Db o c`oss fh ?;; stumjbts, 3;% fh tgj stumjbts fhhjrjm

Jbi`dsg, 5;% fhhjrjm Gdbmd. Dh o stumjbt ds sj`jctjm

ot robmfn, wgot ds tgj prfeoed`dty tgot gj gos fhhjrjm

Jbi`dsg6

O.5

:

E.3

=

C.3

: M.

3

?;

33. @ffl ot tgj idvjb moto.

5?, ?;, 3;, 55, 33, :, 39, ?5, ?5, 5:, =5, ?:, 34, 58,

35, ?7, 59, 57, ?4, 54, 3:, 3?, 5=, 38, ?7, 5;.

]gj hrjqujbcy mdstrdeutdfb ds idvjb ej`fw 1

[

Irfups ]o``y norls Hrjqujbcy

; - ?; D ?

?; - 5; DDDD DD 9

5; - 3; DDDD DDDD 4

3; - =; DDDD DDD 7

=; - :; D ?:; - 8; ;

_

Irfups ]o``y Norls Hrjqujbcy

; - ?; D ?

?; - 5; DDDD DD 9

5; - 3; DDDD DDDD 4

3; - =; DDDD DD 9

=; - :; D ?

:; - 8; D ?

Ygdcg fh tgj hf``fwdbi toe`js rjprjsjbt tgj moto6 O. Fb`y [

E. Fb`y _

C. Bjdtgjr [ bfr _

M. Bfbj fh tgjsj

3=. Dh x x

=

=

?+ > ?4=, bm tgj vo`uj fh x

x

3

3

?+ .

O. 8=

E. :5

C. =;

M. 37

3:. Ygdcg fh tgj hf``fwdbi ds tgj bjt fh tgj idvjb cuej

(bft mrowb tf sco`j)6

O.

E.

C.

M.

JXJUTMOT NO]GJNO]DCS

38. ]gj tfto` fh tgj oijs fh Adyo, Lubo` obm Soior ds

43 yjors. ]jb yjors oif, tgj rotdf fh tgjdr oijs wos

5 1 3 1 =. Ygot ds tgj prjsjbt oij fh Soior6

O. 5= yjors E. 35 yjors

C. 3= yjors

M. 37 yjors

39. ]wf tod`frs W obm T orj podm o tfto` fh k ::; pjr

wjjl ey tgjdr jnp`fyjr. Dh W ds podm ?5; pjrcjbt fh

tgj sun podm tf T , gfw nucg ds T podm pjr wjjl6

O. k 5;;

E. k 5:;

C. k 3;;

M. Bfbj fh tgjsj

37. Ufgob obm Sgdvon orj wfrldbi fb ob ossdibnjbt.

Ufgob toljs 8 gfurs tf typj 35 poijs fb cfnputjr,

wgd`j Sgdvon toljs : gfurs tf typj =; poijs. Gfw

nucg tdnj wd`` tgjy tolj, wfrldbi tfijtgjr fb twfmdhhjrjbt cfnputjrs tf typj ob ossdibnjbt fh ??;

poijs6

O. 9 gfurs 3; ndbutjs

E. 7 gfurs

C. 7 gfurs ?: ndbutjs

M. 7 gfurs 5: ndbutjs

34. O mfi toljs = `jops hfr jvjry : `jops fh o gorj eut

3 `jops fh o mfi orj jquo` tf = `jops fh tgj gorj.

Cfnporj tgjdr spjjms.



55/71

99tg DNF - Sjt E

O. ?8 1 :

E. ?8 1 ?:

C. 8 1 :

M. ?: 1 ?

=;. Son dbvjstjm k ?:,;;; ot tgj rotj fh ?;% pjr obbun

hfr fbj yjor. Dh tgj dbtjrjst ds cfnpfubmjm go`h-yjor`y,

tgjb tgj onfubt rjcjdvjm ey Son ot tgj jbm fh tgj

yjor wd`` ej O. k ?8,:;;

E. k ?8,:5:.:;

C. k ?8,:39.:;

M. k ?7,?:;

=?. O gfusdbi sfcdjty gos ejjb o``fttjm o squorj pdjcj

fh `obm njosurdbi 5::;.5: sq. n. Ygot ds tgj sdmj

fh tgj p`ft6

O. :;.5: n

E. :;.: n

C. :;.8: n M. :;.;: n

=5. ]wf pdpjs O obm E cob `` o tobl db 38 gfurs obm

=: gfurs rjspjctdvj`y. Dh eftg tgj pdpjs orj fpjbjm

sdnu`tobjfus`y, gfw nucg tdnj wd`` ej toljb tf ``

tgj tobl6

O. 5; gfurs

E. ?7 gfurs

C. 5: gfurs

M. ?4 gfurs

=3. Orub obm Soao` orj hrdjbms. Jocg gos sfnj nfbjy. Dh

Orub idvjs k 3; tf Soao`, tgjb Soao` wd`` govj twdcj

tgj nfbjy `jht wdtg Orub. Eut, dh Soao` idvjs k ?; tf

Orub, tgjb Orub wd`` govj tgrdcj os nucg os ds `jht

wdtg Soao`. Gfw nucg nfbjy mfjs jocg govj6

O. k :;, k ?4; E. k =5, k 5=

C. k :;, k 4;

M. k 3=, k 85

==. Fbj-tgdrm fh Nfgdt—s norls db Notgjnotdcs jxcjjms

o go`h fh gds norls db Jbi`dsg ey 3;. Dh gj ift 5=;

norls db tgj twf sueajcts tfijtgjr, gfw noby norls

mdm gj ijt db Jbi`dsg6

O. =5

E. :;

C. 8;

M. ?7;

=:. O nob wo`ljm mdoifbo``y ocrfss o squorj rjidfb.

Opprfxdnotj`y, wgot wos tgj pjrcjbt sovjm ey bft

wo`ldbi o`fbi tgj jmijs6

O. 5; %

E. 5= %

C. 3; %

M. 33 %

OCGDJXJUS SJC]DFB

=8. Ygdcg fh tgj hf``fwdbi ds cfrrjct wdtg rjspjct tf

tgj idvjb sf`dms6

D DD

]fp vdjw Hrfbt vdjw Sdmj vdjw

O. (D)

(D) (DD)

E. (D) (DD) (D)

C. (DD) (D) (DD)

M. (D) (DD)

(DD)

=9. Stumy tgj twf stotjnjbts corjhu``y obm cgffsj tgj

cfrrjct obswjr.

Stotjnjbt ? 1 Sf`utdfb fh8=

?5:

?

5:8 85:

5:

8=

5

3

? = 3

;

è

çééé

ø

÷ùùù ·

( )+è

çéééé

ø

÷

ùùùù

-

/

ds3

5

Stotjnjbt 5 1 @ow fh Dbmdcjs ds

? ?

oo o o

o

e

o

eb

b b b

n n

n> >

è

çééé

ø

÷ùùù >

- , , obm o; > ?.

O. Eftg tgj Stotjnjbts orj truj. E. Stotjnjbt-? ds ho`sj obm Stotjnjbt-5 ds truj.

C. Eftg tgj Stotjnjbts orj ho`sj.

M. Stotjnjbt-? ds truj obm Stotjnjbt-5 ds ho`sj.

=7. Ygdcg fh tgj hf`̀ fwdbi stotjnjbts ds cfrrjct6

O. Suetroctdfb ds cfnnutotdvj hfr dbtjijrs.

E. Mdvdsdfb ds ossfcdotdvj hfr rotdfbo` bunejrs.

C. Nu`tdp`dcotdfb ds bft ossfcdotdvj hfr wgf`j

bunejrs.

M. Ommdtdfb ds c`fsjm hfr boturo` bunejrs

class 8 imo 5 years ebook

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