Class 8 Imo Paper

7/24/2019 Class 8 Imo Paper

1/6

OK^FF^ UHLJS 7;>1, _akbtl Jkmkr, Bhtk - ?>355< (^kg.), Ua7 5=33->65?1 ;

OK^FF^ UHLJS

U^F @HVJCKSLHJ CLPL_HJ

LIH _tkmf-LL Fxki.->5;0

ODK__-1

IKSAFIKSLO_ Cktf 7 ;3-5>->5;0

[.; Sarff cl``frfjt ohjtkljfrs ohjtklj cl``frfjt

qukjtltlfs h` ilxturfs h` ildb kjc wktfr,

wahsf ifksurfifjts krf 35? bm, 3?3 bm kjc

306 bm. ]akt nlmmfst ifksurf iust nf tafrf

th ifksurf kdd taf cl``frfjt qukjtltlfs

fxkotdy 8

(K) ; bm (N) = bm (O) ?; bm (C) 3; bm

[.> Sarff rktlhjkd juinfrs dyljm nftwffj3

?

kjc>

;krf -

(K) >

;, 5,

3

? (N)

3

;,

3

;,

3

?

(O)3

;, 5,

3

; (C)

3

6, 5,

3

;

[.? _hdvf `hr x 76x

0x

3x

;x>

+

>x

3x

9 5

(K) ? (N) > (O) > (C) ;

Clrfotlhj (3 kjc 6) 7 _tucy taf `hddhwljm mrkpa

okrf uddy kjc kjswfr taf qufstlhjs mlvfj nfdhw 7

Shtkd juinfr h` Nhys kjc Mlrds Lj Pkrlhus

Ohddfmfs

[.3 Saf thtkd juinfr h` mlrds lj ohddfmfs C kjc F

thmftafr krf kpprhxliktfdy wakt pfr ofjt h`

taf thtkd juinfr h` mlrds lj ohddfmfs K, N kjc

O thmftafr 8

(K) 1= % (N) =6 % (O) =5 % (C) 11 %

[.6 ]akt ls taf rfspfotlvf rktlh h` taf juinfr h`

nhys lj ohddfmf C th taf juinfr h` nhys lj

ohddfmf N 8

(K) 6 7 3 (N) 1 7 1, _akbtl Jkmkr, Bhtk - ?>355< (^kg.), Ua7 5=33->65?1 >

[.

; (O)

1

? (C)

1

=

[.;5 L` twh qukjtltlfs x kjc y vkry clrfotdy wlta

fkoa htafr, tafj -

(K)y

xrfikljs ohjstkjt

(N) x y rfikljs ohjstkjt.

(O) x + y rfikljs ohjstkjt.

(C) x y rfikljs ohjstkjt.

[.;; L` x 93>

?

>

>

?;

, tafj `ljc taf vkduf h`

x?

.

(K)

;5

?

>

(N)

;>

>

?

(O)

0

?

>

(C)

1

>

?

[.;> Saf pfrliftfrs h` k squkrf kjc k rfotkjmdf krf

fqukd. L` taflr krfks krf rfspfotlvfdy K i>kjc

N i>, tafj waloa h` taf `hddhwljm ls k truf

stktfifjt 8

(K) K 4 N (N) K N

(O) K 4 N/> (C) Jhjf h` tafsf

[.;? 1

?+

=

;9

=

;+

1

?ls kj fxkipdf th sahw

takt -(K) Kccltlhj h` rktlhjkd juinfrs ls

ohiiutktlvf

(N) ^ktlhjkd juinfrs krf odhsfc ujcfr

kccltlhj.

(O) Kccltlhj h` rktlhjkd juinfrs ls

kssholktlvf.

(C) ^ktlhjkd juinfrs krf clstrlnutlvf ujcfr

kccltlhj.

[.;3 Lj taf mlvfj `lmurf (jht crkwj th sokdf), KNO

kjc OCF krf strklmat dljfs, KOF ls k rlmat

kjmdf, C@ || OM}||NA. @ljc y.

(K) 0> (N) >1 (O) 6> (C) ?1

[.;6 Ny wakt dfkst juinfr >65 nf clvlcfc th

hntklj k juinfr waloa ls k pfr`fot ounf 8

(K) ?6 (N) >6 (O) ;6 (C) 6

[.;0 Saf mrfktfst kihjm ( = 6 ), ( 6 ? ),

( < = ) kjc ( ;; < ) ls .. .

(K) ( = 6 ) (N) ( 6 ? )

(O) ( >

ls

fqukd th -

(K) ; (N) > (O) 01< (C) ;5>?

[.;1 L` x + 5 9 5 + x 9 x, waloa ls rktlhjkd juinfr,

tafj 5 ls okddfc -

(K) Lcfjtlty hr kccltlhj h` rktlhjkd juinfrs

(N) Kccltlvf ljvfrsf h` x

(O) Iudtlpdloktlvf ljvfrsf h` x

(C) ^folprhokd h` x

[.;

9

;x

6>

(K) ;5 (N) ;> (O) 1 (C) 5 L` twh qukjtltlfs p kjc q vkry ljvfrsfdy wlta

fkoa htafr, tafj -

(K)q

prfikljs ohjstkjt

(N) p + q rfikljs ohjstkjt

(O) p q rfikljs ohjstkjt

(C) p q rfikljs ohjstkjt


3/6

OK^FF^ UHLJS 7;>1, _akbtl Jkmkr, Bhtk - ?>355< (^kg.), Ua7 5=33->65?1 ?

[.>; ]aloa h` tafsf ls fqukd th (?)?

>6

)1;(

3/;

?/>

);0(

)03(

8

(K)63

; (N)

63

; (O)

>=5

?3; (C)

>=5

?3;

[.>> Saf vkduf h`>>

>>

y)zx(

)zy(x

+

>>

>>

z)yx(

)zx(y

+

>>

>>

x)zy(

)yx(z

ls fqukd th -

(K) ; (N) 5 (O) ; (C) ;/>

[.>? Saf dfjmta h` k rfotkjmudkr `lfdc ls ;; i ihrftakj lts wlcta. L` taf dfjmta ls cforfksfc ny ;>

i kjc taf wlcta ls ljorfksfc ny ;5 i, tafkrfk cforfksf ny >3 i

>. @ljc taf hrlmljkd

dfjmta kjc wlcta h` taf `lfdc rfspfotlvfdy.

(K) ;1 i, =i (N) i , 6i

[.>3 Lj taf mlvfj `lmurf (jht crkwj th sokdf),

KNOC ls k trkpfzlui wlta KN pkrkddfd th CO,

KCF ls kj lshsofdfs trlkjmdf wlta KC 9 KF.

@ljc KFN kjc FKN rfspfotlvfdy

(K) ;562 ?3 (N) ;562 3;

(O) 3;2 ;56 (C) ;562 63

[.>6 Swh clof krf tarhwj sliudtkjfhusdy. @ljc tafprhnknldlty h` mfttljm k iudtlpdf h` 3 ks taf

prhcuot h` juinfrs -

(K)>

; (N)

;>

= (O)

;>

; (C)

;>

6

[.>0 Saf ohiphujc ljtfrfst hj k sui kt ;> % p.k.

`hr > yfkrs ls e ;6= K ikoaljf wks shdc kt k mklj h` ;5 %. Akc lt

nffj shdc kt e 15 dfss, taf sfddfr whudc akvf

dhst ;5 %. ]akt wks taf ohst prlof h` taf

ikoaljf 8

(K)e

?65 (N)e

355(O) e 365 (C) e 6>5

[.>1 Saf krfks h` tarff kcgkofjt `kofs h` k ounhlc

krf lj taf rktlh > 7 ? 7 3 kjc lts vhduif ls 5 oi (C) ?5 oi

[.>) Kmklj wlta O ks ofjtrf kjc rkclus fqukd

th 6 oi crkw twh kros hjf knhvf taf dljf

sfmifjt KO k kjhtafr nfdhw taf dljf

sfmifjt KO outtljm `lrst twh kros kt phljtC kjc N rfspfotlvfdy.

(?) ]lta K ks ofjtrf kjc rkclus fqukd th 6

oi, crkw kj kro knhvf taf dljf sfmifjt

KO kjc kjhtafr nfdhw KO.

(3) Crkw KO 9 0.0 oi

(6) Safj, KNOC ls taf rfqulrfc rahinus.

(K) ; > ? 3 6

(N) > ? 3 ; 6(O) ? > ; 3 6

(C) 3 ? > ; 6


4/6

OK^FF^ UHLJS 7;>1, _akbtl Jkmkr, Bhtk - ?>355< (^kg.), Ua7 5=33->65?1 3

Clrfotlhj (?; kjc ??) 7 Saf mlvfj plf oakrt sahws taf

nrfkb-up h` taf ohst h` ohjstruotlhj h` k ahusf.

Kssuiljm takt taf thtkd ohst h` ohjstruotlhj ls

e055555, kjswfr taf qufstlhjs mlvfj nfdhw 7

[.?> Saf kihujt spfjt hj ofifjt ls . .

(K) e>55555 (N) e;05555

(O) e;>5555 (C) e;55555

[.?? Saf kihujt spfjt hj ofifjt, stffd kjc

supfrvlslhj ls wakt pfrofjt h` taf thtkd ohst h`

ohjstruotlhj 8

(K) 35 % (N) 36 % (O) 65 % (C) 66 %

[.?3 Saf `lmurf sahws k shdlc.

]aloa h` taf `hddhwljm ls k jft h` taf mlvfj

shdlc 8

(K) (N)

(O) (C) Jhjf h` tafsf

[.?6 _lipdl`y ?xy (=x>y

> 3>x

>y

(K) 5 (N) 13x>y

(O) 63x>y

> (C) ;

[.?0 Lcfjtl`y taf LJOH^^FOS stfp waldf

ohjstruotljm k qukcrldktfrkd KNOC, mlvfj takt

KN 9 3.? oi, NO 9 6 oi, OC 9 3.6 oi,

N 9 05 kjc O 9 ;>5.

_tfps h` ohjstruotlhj(;) Crkw KN 9 3.? oi

(>) Kt N, crkw QNK 9 05(?) ]lta N ks ofjtrf kjc rkclus fqukd th 6 oi,

crkw kj kro outtljm NQ kt O.

(3) KS O crkw \ON 9 ;>5(6) ]lta O ks ofjtrf kjc clkiftfr fqukd th 3.6

oi, crkw kj kro outtljm O\ kt C(0) Ghlj KC.KNOC ls taf rfqulrfc qukcrldktfrkd.(K) _tfp ? (N) _tfp 3(O) _tfp 6 (C) Nhta K kjc O

[.?= K mrhofr nuys 15 bm h` rlof kt e;?.65 pfr bmkjc ilxfs lt wlta ;>5 bm h` rlof kvkldkndf kt

e;0 pfr bm. Kt wakt rktf pfr bm sahudc af sfddtaf ilxturf th mklj >5 % hj taf wahdf 8(K) e;> (N) e;1 (O) e;6 (C) e;0

[.?1 K oydljcfr aks k clkiftfr h` ;3 oi kjc tafkrfk h` lts ourvfc sur`kof ls >>5 sq. oi. Safvhduif h` taf oydljcfr ls .(K) ==5 oi

? (N) ;555 oi

?

(O) ;635 oi? (C) 00>> oi

?

[.? oi ;6 oi lsout ljth fxkot juinfr h` fqukd ounfs.Saf dfkst phsslndf juinfr h` ounfs wlddnf . .(K) 0 (N) ;; (O) ?? (C) 35

[.3; Lj taf mlvfj `lmurf (jht crkwj th sokdf),KNOC ls k pkrkddfdhmrki kjc MNF@ lsrfotkjmdf. @ljc x kjc y rfspfotlvfdy.

05?

(O) >?, ?5 (C) ?5, >;


5/6


[.3> @kothrlsf 7 3x>+ ;>xy + 1x ;>y

(K) (>x ?y) (>x ?y 3)

(N) (>x + ?y) (>x + ?y 3)

(O) (>x ?y) (>x + ?y >)

(C) (>x + ?y) (?x + >y 3)

[.3? Ifmak pdkjts ;6?=0 ikjmh trffs lj afr

mkrcfj kjc krrkjmfs tafi sh takt tafrf krf ks

ikjy rhws ks tafrf krf ikjmh trffs lj fkoa

rhw. Saf juinfr h` rhws ls -

(K) ;>3 (N) ;>0 (O) ;?3 (C) ;33

[.33 Saf pfrliftfrs h` k olroudkr lfdc kjc k squkrf

`lfdc krf fqukd. L` taf krfk h` taf squkrf `lfdc

ls ;>;55 i>, taf krfk h` taf olroudkr `lfdc wldd

nf -

(K) ;6655 i> (N) ;6355 i

>

(O) ;6>55 i> (C) ;6?55 i

>

[.36 Lj taf mlvfj mrkpa, taf ohhrcljktfs h` phljt x

krf

(K) (5, >) (N) (>, ?)

(O) (?, >) (C) (?, 5)

KOALFPF^_ _FOSLHJ

[.30 @ljc taf krfk h` taf `hddhwljm phdymhj, l` KD

9 ;5 oi, KI 9 >5, KJ 9 65 oi, KH 9 05

oi, KC 9 5 oi, FH 9 05 oi,

OJ 9 35 oi kjc ND 9 ?5 oi.

(K) ??=.6 oi> (N) ?13 oi

>

(O) 6655 oi> (C) 6565 oi

>

[.3= [uhtlfjt kjc rfikljcfr wafj x3 ?x?y

1xy?+ 1x

>y

>+ 1y

3ls clvlcfc ny x

>+ >y

> xy

ls -

(K) x> >xy + 3y

>kjc 5

(N) x> 3xy + 6y

>kjc >

(O) x> 0xy + 3y

>kjc >

(C) x>+ >xy 3y

>kjc 5

[.31 Saf mlvfj qufstlhj ls `hddhwfc ny twh

stktfifjts. \hu akvf th stucy taf qufstlhj

kjc taf twh stktfifjts mlvfj th cfolcf waloa

h` taf stktfifjt (s) ls/krf rfqulrfc th kjswfr

taf qufstlhjs.

]akt ls taf krf h` taf rlmat-kjmdfc trlkjmdf 8(L) Dfjmta h` taf ayphtfjusf ls ;5 oi.

(LL) Ufrliftfr h` trlkjmdf ls `hur tlifs lts

nksf.

(K) Hjdy L (N) Hjdy LL

(O) Nhta L kjc LL (C) Cktk ljkcfquktf

[.3.

Saf ifksurf h` kjmdf W ls mrfktfr takj

taf ifksurf h` kjmdf \.

Saf ifksurf h` kjmdf \ s mrfktfr takj tf

ifksurf h` kjmdf Q. Saf ifksurf h` kjmdf Q ls mrfktfr takj

35.

]aloa h` taf `hddhwljm ls truf `hr kdd `hur

stktfifjts hr kjmdfs Q, \ kjc W 8

(K) iQ 9 =>, i\ 9 05, iW 9 13

(N) iQ 9 31, i\ 9 05, iW 9 13

(O) iQ 9 65, i\ 9 05, iW 9 =5

(C) iQ 9 31, i\ 9 05, iW 9 =>


6/6


[.65 Iktoa taf ohduijs 7

Ohduij-L Ohduij-LL

(l) K sahpbffpfr mlvfs twh

suoofsslvf clsohujts hj kj

krtlodf ikrbfc e 365. Saf

`lrst clsohujt mlvfj ls ;5 %.

L` taf ousthifr pkys

e ?33.>6 `hr taf krtlodf, taf

sfohjc clsohujt mlvfj ls

(ll) e?55

(ll) K kj ls dlstfc kt e ;655 kjc

k clsohujt h` >5 % ls

h``frfc hj taf dlst prlof.

]akt kccltlhjkd clsohujt

iust nf h``frfc th taf

ousthifr th nrljm taf jftprlof th e ;;53 8

(n) ;6 %

(lll) K rftkldfr nuys k sfwljm

ikoaljfs kt k clsohujt h`

;6 % kjc sfdds lt `hr

e ;

Class 8 Imo Paper

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