SAT-2008 Paper Bihar

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    3+ M |h`~mfb bo`` bhk|oq~r#M& o`ob~qfbm` okoqev fk~h bcodfbm` okoqev#A& bcodfbm` okoqev fk~h o`ob~qfbm` okoqev#B& fec~ okoqev fk~h o`ob~qfbm` okoqev#N& dobcmkfbm` okoqev fk~h o`ob~qfbm` okoqev

    6+ Fl o bu~ m amq dmeko~ fk~h ~ h cm`|or, o f``

    eo~#M& ~ h rdm``oq dmeko~r, hko f~c hk`v K$wh`omkn h~coq f~c hk`v R$wh`o#A& ~ h rdm``oq dmeko~r f~c ah~c K$wh`o mknR$wh`o#B& ~ h rdm``oq dmeko~r cm|fke hk`v K$wh`o#N& ~ h rdm``oq dmeko~r cm|fke hk`v R$wh`o

    =7+ ^co whrf~f|o o`ob~qhno hl m @mb`mkbco bo`` frdmno hl $#M& bmqahk #A& bhwwoq

    #B& zfkb #N& fqhk==+ M dmeko~fb koon`o fr w`mbon h|oq m hke r~qmfec~

    fqo+ Fl mk o`ob~qfb buqqok~ fr m``h on ~h wmrr

    ~cqhuec ~cfr fqo, ~co dmeko~fb koon`o f`` $

    #M& r~mq~ judwfke uw mkn nh k eo~ nol`ob~on

    #A& eo~ nol`ob~on

    #B& r~mq~ dh|fke ~h mkn lqh m`hke ~co fqo

    #N& qodmfk ukmllob~on

    =1+ @f}ufn mddhkfm fr m luo` hl

    #M& Dh~hqbmq #A& Moqhw`mko#B& Dhkhqmf` #N& Qhbio~

    =2+ ^co l`mdo hl bmkn`o cmr ~cqoo zhkor+ co hu~oqzhko fr a`uo, ~co dfnn`o zhko fr vo``h mkn ~cofkkoq zhko fr a`mbi+ Ucfbc fr bhqqob~ qoemqnfke~cfr 8#M& co hu~oq zhko fr omr~ ch~#A& co dfnn`o zhko fr ch~~or~#B& co fkkoq zhko fr omr~ ch~#N& M`` ~co zhkor cm|o rmdo ~odwoqm~uqo

    =>+ Ucfbc hko fr kh~ mww`fbma`o lhq bhdaur~fhk mknqorwfqm~fhk wqhborror 8#M& Ah~c mqo bcodfbm` wqhborror#A& Okoqev bcmkeo ~mio w`mbo fk ah~c#B& Hsveok emr fr bhkrudon#N& Ah~c wqhborror mqo lmr~

    =?+ Ucfbc hl ~co lh``h fke bhk~mfkr m`` do~cmko,cvnqheok mkn bmqahk dhkhsfno 8#M& Wqhnuboq emr #A& Um~oq emr

    #B& Bhm` emr #N& Afh$emr

    3+ n hirV\c` rv bkvqi eR#M&lhp}qc9 ~iZ nir ji`i9lun ~iZ orm#A&ji`i9lun ~iZ nir lhp}qc9 ~iZ orm#B&fzni%i ~iZ nir lhp}qc9 ~iZ or m#N&9iml4in ~iZ nir lhp}qc9 ~iZ orm

    6+ 9lk eo n w}Obnc9 KD) nir kir bjibj Ciisirm orm

    ni\qr eR mT qir eo fi sr#M&kir Kir\i w}ObnT n nrhv dijc (iz}h nr`iLi|iRj k `ji nrhv klyi+ic (iz}h nr iLi#A&kir Kir\i w}ObnT dijc |iRj klyi+ic (iz}h kiruirm nriLi

    #B&kir Kir\i w}ObnT nrhv dijc (iz}h nr iLi#N&kir Kir\i w}ObnT nrhv klyi+ic (iz}h nr iLi

    =7+ vrNvim%ir rv ni (iu avrN\irD bui eirqi eRM#M&nibZu ni #A&qibi ni

    #B&l~mn ni #N&virei ni==+ n w}Obnc9 }aZ n vObr c(irqij nr fj jYii

    eRM 9lk n lhp}q{ (iiji nir a` qij rfzhileqln9i ~i T qir w}Obnc9 }aZ fj N9i fzCiih fD)rsi P#M&fj |iRj ucwr n krsi#A&lhyirlfq eirsi#B&qij nr lk%ii orm |isr |iRj fcKr wvrsi#N&niraZfzCiih uecmfDr)si

    =1+ qjv |oirlu9i n aZ m(iu eR#M&oir\jnij ni #A&hi9}9iu ni#B&oiruirjrv ni #N&jiUnr\ ni

    =2+ oirobic nr viR nrqcu Ciis#Zhko&eirqr eRmM `b`rfjc Ciis ucviT o(9 Ciis fcvi qLii Cicqjc Ciis nivieirqi eRM a`nr Ob_(i orm niRu`i ec eR P#M&fjc Ciis b`r no soZ eirqi eR#A&o(9 Ciis b`r |l(in soZ eirqi eR#B&Cicqjc Ciis b`r no soZ eirqi eR#N&Cic Ciisirm orm bjibj qif eirqi eR

    =>+ fzhvu hm%h`u fzl9|ir mor mauor mr niRu`i df9}uecm eR P#M&kiruir m ji`i9lun fzl9i eRm#A&kiruirmorm ~iZ fljhqZu eirqi eR#B&|iUN`c~u sR` |h%iirl!iq eirqi eR#N&kiruir m fzl9i qchz eR

    =?+ luOulvlYiq orm r ln`orm loLiruT eiaDir~u hm nibZoiruirN`iaD Cic hqZoiu eRm P#M&fzirD9 `j sR` #A&~v sR`#B&nirv sR` #N&bi9ir m,sR

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    =+ Yiipi_uirm nr ]v msze+i nr lv |ih%9n |ikzZqieiruc wile#M& =< =3 / #A& 17 1> /#B& =>/ `r no #N&niraZuec

    =+ Lhq rubborrlu` r~hqmeo hl lhhneqmfkr, ~cowoqbok~meo hl dhfr~uqo rchu`n ao

    #M& =< =3 / #A& 17 1> /#B& orr ~cmk =>/ #N& Khko

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    1?+ hi9}omDvc9 uia\ir~u nr l@Lijcnj+i nrlv yo~chi+i}eRM#M&uia\irbRN\j #A& l`\irbRN\j#B& ~ir\irbRN\j #N&niraZuecm

    1+ ~chi+i}|ir mnirjmsurnc lhl(i Yiir~ njur hivrhRIilun Lir#M&V9}hrueiUn #A&nirw#B&szio #N&auormr niraZuecm

    2?+ fgLhc fj fe}wurhivc n}v iRj ~iZ ni lnqui |m%iejr fiR(iir tiji fz9irs eirqi eR P#M& 7+?/ #A& =+7/#B& 1+? / #N& ?+7/

    2

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    25+ Uch mr ~co Duecm` Odwoqhq m~ ~co ~fdo hlKmnfq Rcmc%r m~~mbi 8#M& Qmlf$un$nmqjm~#A& Ducmddmn Rcmc#B& Mcdmn Rcmc#N& M`mdefq FF

    23+ Rm mf Jmf Rfkec, hko hl ~co eqom~ Qmfwu~ qu`oqrfk =3~c Bok~uqv mr ~co qu`oq hl#M& Dmq mq #A& Do mq#B& Mdaoq #Jmfwuq& #N& Auknf

    26+ ^co lfqr~ M`` Fknfm Ifrmk Bhkeqorr #=62? MN&do~ m~#M& @ubikh #A& M``mcmamn#B& Whhkm #N& Ahdamv

    >7+ ^co lfqr~ rw`f~ fk ~co Fknfmk Km~fhkm` Bhkeqorrhbbuqqon fk#M& =675 #A& =673#B& =6=7 #N& =6=1

    >=+ Ucfbc Mb~ fr ikh k mr ~co A`mbi Mb~ 8

    #M& F`aoq~ Af`` #A& Qh `m~~ Mb~

    #B& Cuk~oq Mb~ #N& Mb~ hl =676

    >1+ Ucfbc R~m~o fr mrrhbfm~on f~c ~co Qo|h`~ hl=3?5 8#M& Rm~mqm #A& Jmfwuq#B& @mchqo #N& Jmfro`doq

    >2+ Uch wua`frcon M` Cf`m` 8#M& Dmu`mkm Mau` Im`md Mzmn#A& Zmifq Curmfk#B& Jfkkmc#N& Rmvvfn Mcdon Icmk

    >>+ Jvh~fam Wcu`o fr mrrhbfm~on f~c#M& Mk~f$bmr~o Dh|odok~#A& @mahuq _kfhk

    #B& Womrmk~ Dh|odok~#N& Khko hl ~coro

    >?+ Rm~vmmq~cm Wqmimrc mr qf~~ok av#M& \f|oimkmknm#A& Nmvmkmknm Rmqmr m~f#B& Qmdmiqfrckm Wmqmdcmkrm#N& \fkham Acm|o

    >7

    25+ uilkj %iie nr|io+i nr `o9 o}sv `iozi^9 ni%ii`n niRu Lii P#M&j]c,dk,kj~iq#A&o}eOok %iie#B&|eok %iie#N&|ivoscj ltqc9

    23+ =3 hcm%iqiBkc nr oeiu{ ji~f q %ii`n hi9 ~9l`meni %ii`u nei Lii P#M&oijhiD) #A&orhiD)#B&|Obj ~9f}j #N&b kc

    26+ fzLio |lYiv Ciijqc9 ln`iu nisz r #=62? aZ7& Oorvue}|i Lii#M&vYiu orm #A&avieibik orm#B&f ui orm #N&bObaZ or m

    >7+ Ciijqc9 ji!\c9 niszr` orm fzLio lhCii~u e}|i#M& =675 #A& =673#B& =6=7 #N& =6=1

    >=+ ln` |l(ilu9o nir nivi |l(ilu9o nr :f orm ~iui~iqi eR P#M&avb\Z lbv #A&jiRvr\ rN\#B&e+\j rN\ #N& =676ni rN\

    >1+ ln` ji^9 r =3?5 ni lhkzire ~}D)i e}|i Lii P#M&qiji #A&~9f}j

    #B&vieiRj #N&~R`vorj>2+ [|v leviv ln`ur fznil%iq ln9i Lii P

    #M&oiRviui |b}v nvio |i~ik#A&~ilnj e}`Ru#B&l~_ui#N&R9k |eok Yii

    >>+ ^9irlqbi ] vr ni ln`nr iLi Ob_(i Lii P#M&~ilq,lhjir(ic |i_kirvu#A&o~k j m8i#B&ln`iu |i_kirvu#N&auorm r niraZ uecm

    >?+ [`Q9iLiZ fzni%i nr vrYin Lir#M&lhhrniu_k#A&k9iumk j@hqc#B&jio!+i fjoem`#N&lhuirbi Ciihr

    >7

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    5+ h(iiZ fz@qih ni k `ji uio N9i eR P#M&f ui fRN\#A&imfzkil9n fmwi\#B&Ciijq KirD)irfz@qih#N&auorm r niraZ uecm

    >3+ f\ui orm b`r bD)i lku nb eirqi eR P#M& 1=oiwZ#A& 12lk`Obj#B& 1=~ u#N& 11l`qObj

    >6+ Ciijq nr b`r f hcZ Ciis `r niRu,`c kr%ii_qj jrYiis}~jqc eR P#M& 63=?%f 7 #A& 65=?%f 7#B& 6

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    ?5+ luOulvlYiq or m r niRu,`i b`r ucwi @Liiu eR P#M&bN`j #A&f\ui#B&o}msrj #N&Ciisvf}j

    ?3+ luOulvlYiq or m rlbeij nr ln` l~vr or m uejcm l`mwiaZnc }lh(ii eR P#M&uiv_ki #A&f\ui#B&%irYif}ji #N&brs}ji9

    ?6+ ji^9fiv nc lu9}Nq niRu njqi eR P#M&fz(iiuom 4ic#A&ji!\flq#B&mk#N&oml4iflj!ik{

    h!iZ #N&

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    55+ 17 `roc vObcT=7 `roc wiRD)c qLii=7 `roc wc n|inij hivc aZ\ir mr = oc$ vObcT> oc$ wc n kchijYiD)c njuc eRM lnquc aZ\irm nc |ih%9nqi eirsc8#M& 17777 #A& =77777#B& 17577 #N& 27377

    53+ Y5+1 7+3 =+1 7+6 ) 7+73Tbjibj eR:#M& 3 #A& =7#B& =2 #N& =>

    56+?2

    >?

    35

    ?=1

    ?2

    >6

    bjibj eR

    #M& =37=

    #B& 161 #N& 176

    5

    37+ 9lk corm\ nr52 birjirm ni b~u>=777+57ln$ szi$ #N& ? , d Q 4 >5 #B& W] 4 =1 bd, HQ 4 ? bd, QW 4 => bd#N& d W 4 >?, d ] 4 >? , d Q 4 =17

    31+ rfk bjibj eR

    #M& =obbhr 1 #A& 1rfk=

    #B&2 1rfk= #N& 1bhr=

    32+ M% Mbjibj eR

    #M& #A& M#B& % #N& _

    3>+ `o}Ww9M 4 Y7, =, 1, 2Tnr df`o}Ww9irm nc `mY9ieirsc#M& =7 #A& 6#B& 3 #N& = d cfec fr ~hao bhkr~qub~on f~c aqfbir 17 bd `hke =7 bdaqhmn mkn =7 bd cfec+ Ch dmkv aqfbir mqoqo}ufqon 8#M& 17777 #A& =77777#B& 17577 #N& 27377

    53+Y5+1 7+3

    =+1 7+6 ) 7+73T fr o}um` ~h :

    #M& 3 #A& =7#B& =2 #N& =>

    56+?2

    >?

    35

    ?=1

    ?2

    >6

    fr o}um` ~h

    #M& =37=

    #B& 161 #N& 176

    5

    37+ Fl ~co ofec~ hl 52 amer hl bodok~ fr >=777+57 ie #N& ? , d Q 4 >5 #B& W] 4 =1 bd, HQ 4 ? bd, QW 4 => bd#N& d W 4 >?, d ] 4 >? , d Q 4 =17

    31+ rfk fr o}um` ~h :

    #M& =obbhr 1 #A& 1rfk=

    #B&2 1rfk= #N& 1bhr=

    32+ M% M fr o}um` ~h :

    #M& #A& M#B& % #N& _

    3>+ Kudaoq hl ruaro~r hl ro~ M 4 Y7, =, 1, 2T fr :#M& =7 #A& 6#B& 3 #N& ===61 fr o}um` ~h#M& 63 #A& 66#B& =5= #N& =31

    33+ Fl m kudaoq s fr nf|fnon av 6?, ~cok qodmfknoqfr 27+ Fl ~co rmdo kudaoq s fr nf|fnon av ?,~cok cm~ fr qodmfknoq 8#M& 1 #A& 2#B& > #N& 7

    36+ ~mk>? fr o}um` ~h

    #M& 1 #A&1

    #B& = #N&2

    67+ bh~ 27 fr o}um` ~h :

    #M& 2 #A& 2

    =

    #B&1

    =#N&

    1=

    3= ni hsZo v bjibj eirqi eRM#M& =56 #A& =61#B& =53 #N& =62

    35+ 6>==61 ni 8iuo v bjibj eirqi eRM#M& 63 #A& 66#B& =5= #N& =31

    33+ 9lk ln`c mY9is nir6? `r lhCiil~q ln9i ~iqi eRTqir %ir!i27 bwqi eRT l]j d`c `mY9is nir ? `rlhCiil~q njur fj %ir!i N9i bwrsi8#M& 1 #A& 2#B& > #N& 7

    36+ ~mk>? bjibj eR

    #M& 1 #A&1

    #B& = #N&2

    67+ bh~ 27 bjibj eR

    #M& 2 #A& 2=

    #B&1

    =#N&

    1=