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8/3/2019 Sol.Paper-1
1/3
PLRJ ^MLV\HT^E\ ^TO@E!K \VO@E . ?
PLRJ^MLV CLR HT^E ^TO@E!K \TE T VOVER!?
3( Nmoh`e kh ikheor alaehtua 1 5%
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?4( Plrj dlhe durkh` eonm e}voh~klh 1 2(4 G^uvvl~e iuh`~ e}vohd~ h tkae~ ver ~enlhd)tmeh plrj dlhe kh ? ~enlhd)P 1 2(4 hGTkae) t 1 ?~) Vlper) V 1 4 P
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ss 2?
26( Tme dk~vioneaeht betpeeh ] ohd [ 1 r * r 1 2r
2?( Nlh~kder tme otlakn huaber lc } 1 wtmeh huaber lc eientrlh~ vre~eht kh } 1 w~l 2w * 5w 1 2?0w 1 2? w 1 >ao~~ huaber -O+ 1 > * 4 1 0
24( vM 1il` ZM*Q
vM ?
M
B 8 O 8 N) denreo~kh` onkdkn ~treh`tm(
_ue~( ? 2 > 4 5 3 0 = ; ?6 ?? ?2 ?> ?4 ?5 ?3 ?0 ?= ?; 26
Oh~( O D D D O D O O D B N N D O D O D D D N
_ue~( 2? 22 2> 24 25 23 20 2= 2; >6 >? >2 >> >4 >5 >3 >0 >= >; 46
Oh~( N D D N D D B N D N B N B B B N B B D B_ue~( 4? 42 4> 44 45 43 40 4= 4; 56 5? 52 5> 54 55 53 50 5= 5; 36
Oh~( B O B N B B O N O N B D O B D O B N N B
_ue~( 3? 32 3> 34 35 33 30 3= 3; 06 0? 02 0> 04 05 03 00 0= 0; =6
Oh~( D O D N O B O B N N O B O N O N D N B B
_ue~( =? =2 => =4 =5 =3 =0 == =; ;6 ;? ;2 ;> ;4 ;5 ;3 ;0 ;= ;; ?66
Oh~( D B O D N B N N B D D O O B N O O D N N
8/3/2019 Sol.Paper-1
2/3
PLRJ ^MLV\HT^E\ ^TO@E!K \VO@E . 2
>6( 2HoMNL> Ho2NL> * M2L * NL2
>>( Huaber lc eientrlh~ kh 2>NL 1 3 * 24*21 >2
Huaber lc eientrlh~ kh >HL 1 0 * 24 *? 1 >2
>=( No-LM+2* NL
2 No-MNL
>+2
-E}ne~~+
0?( -4 2+ ?) -0 2+ ?) -?> 2+ ?) -25 2+
? 1 4;
02( Tme votterh lc tme ~erke~ k~ 7 >) 4) 5)3) 0) ((((( 1 >?)24(
2 k~ ~ub~tronted kh eonm hl(
0>( K 7 5) ;) ?>) ?0 Z4 k~ odded tl eonm hl(Q
KK 7 0) ;) ??)?>) ((((Z4 k~ odded tl eonm hl(Q
03( Tme ckr~t ietter lc tme ckr~t) ~enlhd) tmkrd) ((((((
tera~ ore re~ventksei{ alsed tpl) clur) ~k})
((((( ~tev~ clrpord) ~enlhd ietter lc eonm tera
k~ alsed lhe ~tev clrpord ohd tme tmkrd ietter
lc tme ckr~t) ~enlhd) tmkrd) ((((( tera~ ore alsed
lhe) tmree) ckse) (((((( ~tev~ clrpord tl lbtokh
tme nlrre~vlhdkh` ietter~ lc tme ~unee~~kse
tera~(
0;( -B+ 4 * 02 1 5>) 3 * ;2 1 =0 ? * 02 1 56
=6( -B+ -4 >+ -5 ?+ 1 0) -4 >+ -2 >+ 1 3
^kakiori{ ) -2 ?+ ! -> 6+ 1 2
=?( Kh tme ckr~t rlp H alse~ lhe ~tev clrpord khtl
L pmknm o`okh alse~ lhe ~tev clrpord khtl V(
Kh tme ~enlhd rlp alse~ lhe ~tev bonjpord
khtl R pmknm o`okh alse~ lhe ~tev bonjpord
khtl _( Kh tme tmkrd rlp T alse~ lhe ~tev
clrpord khtl U pmknm o`okh alse~ lhe ~tev
clrpord khtl S( ^l) ak~~kh` ietter kh ~enlhd
nliuah k~ _(
=2( Kh ?~t ck`ure) -?3 3+2 * -5 2+2 1 -?6+2 * ->+2 1
?6;(
Kh 2hd ck`ure) -22 ?5+2 * -2? ?;+2 1 -0+2 * -4+2
1 5>(
^l) kh >rd ck`ure) tme dk`kt~ lc tme ak~~kh`
huaber ore 7 -?0 ?>+2 * -5? 4=+2 1 -4+2 *
->+2 1 25(
=>( -O+ ^erke~ k~ obn, oobbnn, ooo
=4( Tme ~erke~ k~ oob , oob , oob ,oob( l) votterh
oob k~ reveoted(
=5( Tme ~erke~ k~ obnd , dobn ,ndob ,bndo(
=3( -B+ o o b n,b b n o,n n o b,o o b n,b b n o
=0(
6) ?) 5 ?6) ?5) 2?6) >)
*6 *? *2 *> *4 *5 *3
^erke~
~mluid be
> * > 35 k~ o prlh` tera(
==( -N+ @kseh ~erke~ k~ 7
=;( Kt k~ o nlabkhotklh lc tpl ~erke~ 7K 7 ?) >) 5) 0 Z*2) *2)(((((Q
KK 74) ?3) >2) 34
2 2 2
4 au~t be revioned b{ =(
4 k~ prlh` tera(
;6( -D+
Mehne) tme prlh` huaber k~ ?>2 ohd ~mluid
be revioned b{ ?>>(
;2( Kh eser{ tera ckr~t ~enlhd ohd tmkrd ietter k~ kh
oivmobetknoi lrder tl kt~ he}t tera re~ventksei{(
Clurtm tera k~ hlt cliilpkh` tme ~oae ruie( Tme
prlh` tera k~ MT[( l) tme oh~per pluid be
M^[(
;>( -O+ Kh eser{ tera) ckr~t ~enlhd ohd tmkrd ietterk~ alsed tpl ~tev~ clrpord tl kt~ he}t tera
re~ventksei{( Clurtm tera k~ hlt cliilpkh` tme
~oae ruie( Tme prlh` tera k~ SST( ^l) tme
oh~per pluid be SUT(
;4( -B+ Ckr~t ietter lc eser{ tera k~ alsed tmree
~tev~ clrpord kh eonm he}t tera( ^enlhd
huaber lc eser{ tera lc tme votterh 2 * ?)
2 * 2) 2 * >)((((((((((((ohd tmkrd ietter lc
eser{ tera k~ alsed tpl ~tev~ bonjpord( Tme
prlh` tera k~ G?6R( l) tme oh~per pluid be
G;R(
8/3/2019 Sol.Paper-1
3/3
PLRJ ^MLV\HT^E\ ^TO@E!K \VO@E . >
;5( @kseh e}vre~~klh 1 6(2 * 6(2 ? 6(64 1 6(4
6(64 1 6(>3
;3( -O+ B{ aojkh` tme khternmoh`e~ `kseh kh -O+)
pe et tme equotklh o~
2 5 * > 1 6 lr 6 1 6 pmknm k~ true(
B{ aojkh` tme khternmoh`e~ `kseh kh -B+) pe
`et tme equotklh o~
> 2 * 5 1 6 lr 3 1 6) pmknm k~ coi~e(
B{ aojkh` tme khternmoh`e~ `kseh kh -N+) pe
`et tme equotklh o~
5 > * 21 4 lr 4 1 6 pmknm k~ hlt true(