7/24/2019 Class 8 Imo Paper
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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
7/24/2019 Class 8 Imo Paper
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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
7/24/2019 Class 8 Imo Paper
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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, >;
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OK^FF^ UHLJS 7;>1, _akbtl Jkmkr, Bhtk - ?>355< (^kg.), Ua7 5=33->65?1 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 =>
7/24/2019 Class 8 Imo Paper
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OK^FF^ UHLJS 7;>1, _akbtl Jkmkr, Bhtk - ?>355< (^kg.), Ua7 5=33->65?1 0
[.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 ;