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ThisisadiscussiononAptitudeQuestionswithanswerswithinthePlacementPapersforums,partoftheArchivecategoryAptitudeQuestions1.If2xy=4then6x3y=?(a)15(b)12(c)18(d)10Ans.(b)2.Ifx=y=2zandxyz=256thenwhatisthe...

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AptitudeQuestions1.If2xy=4then6x3y=?(a)15(b)12(c)18(d)10

Ans.(b)2.Ifx=y=2zandxyz=256thenwhatisthevalueofx?

(a)12(b)8(c)16(d)6

Ans.(b)3.(1/10)18(1/10)20=?(a)99/1020(b)99/10(c)0.9(d)noneoftheseAns.(a)4.PipeAcanfillin20minutesandPipeBin30minsandPipeCcanemptythesamein40mins.Ifallofthemworktogether,findthetimetakentofillthetank(a)171/7mins(b)20mins(c)8mins(d)noneoftheseAns.(a)5.Thirtymentake20daystocompleteajobworking9hoursaday.Howmanyhouradayshould40menworktocompletethejob?(a)8hrs(b)71/2hrs(c)7hrs(d)9hrsAns.(b)6.FindthesmallestnumberinaGPwhosesumis38andproduct1728(a)12(b)20(c)8(d)noneoftheseAns.(c)7.Aboattravels20kmsupstreamin6hrsand18kmsdownstreamin4hrs.Findthespeedoftheboatinstillwaterandthespeedofthewatercurrent?

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(a)1/2kmph(b)7/12kmph(c)5kmph(d)noneoftheseAns.(b)8.Agoatistiedtoonecornerofasquareplotofside12mbyarope7mlong.Findtheareaitcangraze?(a)38.5sq.m(b)155sq.m(c)144sq.m(d)19.25sq.mAns.(a)9.Mr.Shahdecidedtowalkdowntheescalatorofatubestation.Hefoundthatifhewalksdown26steps,herequires30secondstoreachthebottom.However,ifhestepsdown34stairshewouldonlyrequire18secondstogettothebottom.Ifthetimeismeasuredfromthemomentthetopstepbeginstodescendtothetimehestepsoffthelaststepatthebottom,findouttheheightofthestairwayinsteps?Ans.46steps.10.Theaverageageof10membersofacommitteeisthesameasitwas4yearsago,becauseanoldmemberhasbeenreplacedbyayoungmember.Findhowmuchyoungeristhenewmember?Ans.40years.11.ThreecontainersA,BandChavevolumesa,b,andcrespectivelyandcontainerAisfullofwaterwhiletheothertwoareempty.IffromcontainerAwaterispouredintocontainerBwhichbecomes1/3full,andintocontainerCwhichbecomes1/2full,howmuchwaterisleftincontainerA?12.ABCEisanisoscelestrapezoidandACDEisarectangle.AB=10andEC=20.WhatisthelengthofAE?Ans.AE=10.13.Inthegivenfigure,PAandPBaretangentstothecircleatAandBrespectivelyandthechordBCisparalleltotangentPA.IfAC=6cm,andlengthofthetangentAPis9cm,thenwhatisthelengthofthechordBC?Ans.BC=4cm.15Threecardsaredrawnatrandomfromanordinarypackofcards.Findtheprobabilitythattheywillconsistofaking,aqueenandanace.Ans.64/2210.16.Anumberofcatsgottogetheranddecidedtokillbetweenthem999919mice.Everycatkilledanequalnumberofmice.Eachcatkilledmoremicethantherewerecats.Howmanycatsdoyouthinktherewere?Ans.991.17.IfLog2x5Logx+6=0,thenwhatwouldthevalue/valuesofxbe?Ans.x=e2ore3.18.Thesquareofatwodigitnumberisdividedbyhalfthenumber.After36isaddedtothequotient,thissumisthendividedby2.Thedigitsoftheresultingnumberarethesameasthoseintheoriginalnumber,buttheyareinreverseorder.Theten'splaceoftheoriginalnumberisequaltotwicethedifferencebetweenitsdigits.Whatisthenumber?Ans.4619.Canyoutenderaonerupeenoteinsuchamannerthatthereshallbetotal50coinsbutnoneofthemwouldbe2paisecoins.?Ans.45onepaisacoins,2fivepaisecoins,2tenpaisecoins,and1twentyfivepaisecoins.20.Amonkeystartsclimbingupatree20ft.tall.Each



hour,ithops3ft.andslipsback2ft.Howmuchtimewouldittakethemonkeytoreachthetop?Ans.18hours.21.Whatisthemissingnumberinthisseries?8214611?1461812Ans.922.AcertaintypeofmixtureispreparedbymixingbrandAatRs.9akg.withbrandBatRs.4akg.IfthemixtureisworthRs.7akg.,howmanykgs.ofbrandAareneededtomake40kgs.ofthemixture?Ans.BrandAneededis24kgs.23.AwizardnamedNeposays"Iamonlythreetimesmyson'sage.Myfatheris40yearsmorethantwicemyage.Togetherthethreeofusareamere1240yearsold."HowoldisNepo?Ans.360yearsold.24.Onedogtellstheotherthattherearetwodogsinfrontofme.Theotheronealsoshoutsthathetoohadtwobehindhim.Howmanyarethey?Ans.Three.25.Amanate100bananasinfivedays,eachdayeating6morethanthepreviousday.Howmanybananasdidheeatonthefirstday?Ans.Eight.26.Ifittakesfiveminutestoboiloneegg,howlongwillittaketoboilfoureggs?Ans.Fiveminutes.27.Theminutehandofaclockovertakesthehourhandatintervalsof64minutesofcorrecttime.Howmuchadaydoestheclockgainorlose?Ans.328/11minutes.28.Solveforxandy:1/x1/y=1/3,1/x2+1/y2=5/9.Ans.x=3/2or3andy=3or3/2.29.DaalisnowbeingsoldatRs.20akg.DuringlastmonthitsratewasRs.16perkg.Byhowmuchpercentshouldafamilyreduceitsconsumptionsoastokeeptheexpenditurefixed?Ans.20%.30.Findtheleastvalueof3x+4yifx2y3=6.Ans.10.31.CanyoufindoutwhatdayoftheweekwasJanuary12,1979?Ans.Friday.32.Agarrisonof3300menhasprovisionsfor32days,whengivenatarateof850gramsperhead.Attheendof7daysareinforcementarrivesanditwasfoundthatnowtheprovisionswilllast8daysless,whengivenattherateof825gramsperhead.How,manymoremencanitfeed?Ans.1700men.33.From5differentgreenballs,fourdifferentblueballsandthreedifferentredballs,howmanycombinationsofballscanbechosentakingatleastonegreenandoneblueball?Ans.3720.34.Threepipes,A,B,&Careattachedtoatank.A&Bcanfillitin20&30minutesrespectivelywhileCcanemptyitin15minutes.IfA,B&Carekeptopensuccessivelyfor1minuteeach,howsoonwillthetankbefilled?Ans.167minutes.35.Apersonwalking5/6ofhisusualrateis40minuteslate.Whatishisusualtime?Ans.3hours20minutes.

36.ForamotoristtherearethreewaysgoingfromCityAtoCityC.Bywayofbridgethedistanceis20milesandtollis$0.75.Atunnelbetweenthetwocitiesisadistanceof10milesandtollis$1.00forthevehicleanddriverand$0.10foreachpassenger.Atwolane



highwaywithouttollgoeseastfor30milestocityBandthen20milesinanorthwestdirectiontoCityC.

1.WhichistheshortestroutefromBtoC

(a)DirectlyontollfreehighwaytoCityC(b)Thebridge(c)TheTunnel(d)Thebridgeorthetunnel(e)Thebridgeonlyiftrafficisheavyonthetollfreehighway

Ans.(a)

2.ThemosteconomicalwayofgoingfromCityAtoCityB,intermsoftollanddistanceistousethe

(a)tunnel(b)bridge(c)bridgeortunnel(d)tollfreehighway(e)bridgeandhighway

Ans.(a)

3.JimusuallydrivesalonefromCityCtoCityAeveryworkingday.Hisfirmdeductsapercentageofemployeepayforlateness.Whichfactorwouldmostinfluencehischoiceofthebridgeorthetunnel?

(a)Whetherhiswifegoeswithhim(b)scenicbeautyontheroute(c)Trafficconditionsontheroad,bridgeandtunnel(d)saving$0.25intolls(e)priceofgasolineconsumedincoveringadditional10milesonthebridge

Ans.(a)

4.Inchoosingbetweentheuseofthebridgeandthetunnelthechieffactor(s)wouldbe:I.TrafficandroadconditionsII.NumberofpassengersinthecarIII.Locationofone'shomesinthecenteroroutskirtsofoneofthecitiesIV.Desiretosave$0.25

(a)Ionly(b)IIonly(c)IIandIIIonly(d)IIIandIVonly(e)IandIIonly

Ans.(a)

37.ThelettersA,B,C,D,E,FandG,notnecessarilyinthatorder,standforsevenconsecutiveintegersfrom1to10Dis3lessthanABisthemiddletermFisasmuchlessthanBasCisgreaterthanDGisgreaterthanF

1.Thefifthintegeris(a)A(b)C(c)D(d)E(e)F

Ans.(a)

2.AisasmuchgreaterthanFaswhichintegerislessthanG(a)A(b)B(c)C(d)D



(e)E

Ans.(a)

3.IfA=7,thesumofEandGis(a)8(b)10(c)12(d)14(e)16

Ans.(a)

4.AF=?(a)1(b)2(c)3(d)4(e)Cannotbedetermined

Ans.(a)

5.AnintegerTisasmuchgreaterthanCasCisgreaterthanE.TcanbewrittenasA+E.WhatisD?(a)2(b)3(c)4(d)5(e)Cannotbedetermined

Ans.(a)

6.ThegreatestpossiblevalueofCishowmuchgreaterthanthesmallestpossiblevalueofD?(a)2(b)3(c)4(d)5(e)6

Ans.(a)

38.1.AllG'sareH's2.AllG'sareJ'sorK's3.AllJ'sandK'sareG's4.AllL'sareK's5.AllN'sareM's6.NoM'sareG's

1.IfnoP'sareK's,whichofthefollowingmustbetrue?

(a)AllP'sareJ's(b)NoPisaG(c)NoPisanH(d)IfanyPisanHitisaG(e)IfanyPisaGitisaJ

Ans.(a)

2.Whichofthefollowingcanbelogicallydeducedfromtheconditionsstated?

(a)NoM'sareH's(b)NoM'sthatarenotN'sareH's(c)NoH'sareM's(d)SomeM'sareH's(e)AllM'sareH's

Ans.(a)

3.Whichofthefollowingisinconsistentwithoneormoreoftheconditions?

(a)AllH'sareG's(b)AllH'sthatarenotG'sareM's(c)SomeH'sarebothM'sandG's(d)NoM'sareH's



(e)AllM'sareH's

Ans.(a)

4.Thestatement"NoL'sareJ's"isI.LogicallydeduciblefromtheconditionsstatedII.ConsistentwithbutnotdeduciblefromtheconditionsstatedIII.Deduciblefromthestatedconditionstogetherwiththeadditionalstatement"NoJ'sareK's"

(a)Ionly(b)IIonly(c)IIIonly(d)IIandIIIonly(e)NeitherI,IInorIII

Ans.(a)

39.IncountryX,democratic,conservativeandjusticepartieshavefoughtthreecivilwarsintwentyyears.TOrestorestabilityanagreementisreachedtorotatethetopofficesPresident,PrimeMinisterandArmyChiefamongthepartiessothateachpartycontrolsoneandonlyoneofficeatalltimes.Thethreetopofficeholdersmusteachhavetwodeputies,onefromeachoftheotherparties.Eachdeputymustchooseastaffcomposedofequallymembersofhisorherchiefspartyandmemberofthethirdparty.

1.WhenJusticepartyholdsoneofthetopoffices,whichofthefollowingcannotbetrue

(a)Someofthestaffmemberswithinthatofficearejusticepartymembers(b)Someofthestaffmemberswithinthatofficearedemocraticpartymembers(c)Twoofthedeputieswithintheotherofficesarejusticepartymembers(d)Twoofthedeputieswithintheotherofficesareconservativepartymembers(e)Someofthestaffmemberswithintheotherofficesarejusticepartymembers.

Ans.(a)

2.Whenthedemocraticpartyholdspresidency,thestaffoftheprimeminister'sdeputiesarecomposedI.OnefourthofdemocraticpartymembersII.OnehalfofjusticepartymembersandonefourthofconservativepartymembersIII.Onehalfofconservativepartymembersandonefourthofjusticepartymembers.

(a)Ionly(b)IandIIonly(c)IIorIIIbutnotboth(d)IandIIorIandIII(e)Noneofthese

Ans.(a)

3.Whichofthefollowingisallowableundertherulesasstated:

(a)Morethanhalfofthestaffwithinagivenofficebelongingtoasingleparty(b)Halfofthestaffwithinagivenofficebelongingtoasingleparty(c)Anypersonhavingamemberofthesamepartyashisorherimmediatesuperior



(d)Halfthetotalnumberofstaffmembersinallthreeofficesbelongingtoasingleparty(e)Halfthestaffmembersinagivenofficebelongingtopartiesdifferentfromthepartyofthetopofficeholderinthatoffice.

Ans.(a)

4.TheofficeoftheArmyChiefpassesfromConservativetoJusticeparty.Whichofthefollowingmustbefired.

(a)ThedemocraticdeputyandallstaffmembersbelongingtoJusticeparty(b)Justicepartydeputyandallhisorhersstaffmembers(c)JusticepartydeputyandhalfofhisConservativestaffmembersinthechiefofstaffoffice(d)TheConservativedeputyandallofhisorherstaffmembersbelongingtoConservativeparty(e)Nodeputiesandallstaffmembersbelongingtoconservativeparties.

Ans.(a)

40.Inrecommendationstotheboardoftrusteesatuitionincreaseof$500peryear,thepresidentoftheuniversitysaid"Therewerenostudentdemonstrationsoverthepreviousincreasesof$300lastyearand$200theyearbefore".Ifthepresident'sstatementisaccuratethenwhichofthefollowingcanbevalidlyinferredfromtheinformationgiven:I.Moststudentsinpreviousyearsfeltthattheincreaseswerejustifiedbecauseofincreasedoperatingcosts.II.Studentapathywasresponsibleforthefailureofstudentstoprotesttheprevioustuitionincreases.III.Studentsarenotlikelytodemonstrateovernewtuitionincreases.

(a)Ionly(b)IIonly(c)IorIIbutnotboth(d)I,IIandIII(e)None

Ans.(a)

41.TheofficestaffofXYZcorporationpresentlyconsistsofthreebookeepersA,B,Cand5secretariesD,E,F,G,H.Themanagementisplanningtoopenanewofficeinanothercityusing2bookeepersand3secretariesofthepresentstaff.Todosotheyplantoseperatecertainindividualswhodon'tfunctionwelltogether.ThefollowingguidelineswereestablishedtosetupthenewofficeI.BookeepersAandCareconstantlyfindingfaultwithoneanotherandshouldnotbesenttogethertothenewofficeasateamII.CandEfunctionwellalonebutnotasateam,theyshouldbeseperatedIII.DandGhavenotbeenonspeakingtermsandshouldn'tgotogetherIVSinceDandFhavebeencompetingforpromotiontheyshouldn'tbeateam1.IfAistobemovedasoneofthebookeepers,whichofthefollowingcannotbeapossibleworkingunit.

A.ABDEHB.ABDGHC.ABEFHD.ABEGH



Ans.B

2.IfCandFaremovedtothenewoffice,howmanycombinationsarepossible

A.1B.2C.3D.4

Ans.A

3.IfCissenttothenewoffice,whichmemberofthestaffcannotgowithC

A.BB.DC.FD.G

Ans.B

4.Undertheguidelinesdeveloped,whichofthefollowingmustgotothenewoffice

A.BB.DC.ED.G

Ans.A

5.IfDgoestothenewoffice,whichofthefollowingis/aretrue

I.CcannotgoII.AcannotgoIII.Hmustalsogo

A.IonlyB.IIonlyC.IandIIonlyD.IandIIIonly

Ans.D

42.Aftermonthsoftalentsearchingforanadministrativeassistanttothepresidentofthecollegethefieldofapplicantshasbeennarroweddownto5A,B,C,D,E.Itwasannouncedthatthefinalistwouldbechosenafteraseriesofalldaygrouppersonalinterviewswereheld.Theexaminingcommitteeagreeduponthefollowingprocedure

I.TheinterviewswillbeheldonceaweekII.3candidateswillappearatanyalldayinterviewsessionIII.EachcandidatewillappearatleastonceIV.Ifitbecomesnecessarytocallapplicantsforadditonalinterviews,nomore1suchapplicantshouldbeaskedtoappearthenextweekV.Becauseofadetailinthewrittenapplications,itwasagreedthatwhenevercandidateBappears,Ashouldalsobepresent.VI.BecauseoftraveldifficultiesitwasagreedthatCwillappearforonly1interview.1.AtthefirstinterviewthefollowingcandidatesappearA,B,D.Whichofthefollwingcombinationscanbecalledfortheinterviewtobeheldnextweek.

A.BCDB.CDEC.ABE



D.ABC

Ans.B

2.Whichofthefollowingisapossiblesequenceofcombinationsforinterviewsin2successiveweeks

A.ABCBDEB.ABDABEC.ADEABCD.BDEACD

Ans.C

3.IfA,BandDappearfortheinterviewandDiscalledforadditionalinterviewthefollowingweek,which2candidatesmaybeaskedtoappearwithD?

I.AIIBIII.CIV.EA.IandIIB.IandIIIonlyC.IIandIIIonlyD.IIIandIVonly

Ans.D

4.Whichofthefollowingcorrectlystate(s)theprocedurefollowedbythesearchcommittee

I.AfterthesecondinterviewallapplicantshaveappearedatleastonceII.ThecommitteeseeseachapplicantasecondtimeIII.Ifathirdsession,itispossibleforallapplicantstoappearatleasttwice

A.IonlyB.IIonlyC.IIIonlyD.BothIandII

Ans.A

43.AcertaincityisservedbysubwaylinesA,BandCandnumbers12and3Whenitsnows,morningserviceonBisdelayedWhenitrainsorsnows,serviceonA,2and3aredelayedbothinthemorningandafternoonWhentemp.fallsbelow30degreesfarenheitafternoonserviceiscancelledineithertheAlineorthe3line,butnotboth.Whenthetemperaturerisesover90degreesfarenheit,theafternoonserviceiscancelledineitherthelineCorthe3linebutnotboth.WhentheserviceontheAlineisdelayedorcancelled,serviceontheClinewhichconnectstheAline,isdelayed.Whenserviceonthe3lineiscancelled,serviceontheBlinewhichconnectsthe3lineisdelayed.Q1.OnJan10th,withthetemperatureat15degreefarenheit,itsnowsallday.Onhowmanylineswillservicebeaffected,includingbothmorningandafternoon.(A)2(B)3(C)4(D)5Ans.D

Q2.OnAug15thwiththetemperatureat97degreesfarenheititbeginstorainat1PM.Whatistheminimumnumberoflinesonwhichservicewillbeaffected?(A)2(B)3



(C)4(D)5Ans.C

Q3.Onwhichofthefollowingoccasionswouldservicebeonthegreatestnumberoflinesdisrupted.(A)Asnowyafternoonwiththetemperatureat45degreefarenheit(B)Asnowymorningwiththetemperatureat45degreefarenheit(C)Arainyafternoonwiththetemperatureat45degreefarenheit(D)Arainyafternoonwiththetemperatureat95degreefarenheitAns.B

44.Inacertainsociety,therearetwomarriagegroups,redandbrown.Nomarriageispermittedwithinagroup.Onmarriage,malesbecomepartoftheirwivesgroupswomenremainintheirowngroup.Childrenbelongtothesamegroupastheirparents.Widowersanddivorcedmalesreverttothegroupoftheirbirth.MarriagetomorethanonepersonatthesametimeandmarriagetoadirectdescendantareforbiddenQ1.AbrownfemalecouldhavehadI.AgrandfatherbornRedII.AgrandmotherbornRedIIITwograndfathersbornBrown(A)Ionly(B)IIIonly(C)I,IIandIII(D)IandIIonlyAns.D

Q2.Amalebornintothebrowngroupmayhave(A)Anuncleineithergroup(B)Abrowndaughter(C)Abrownson(D)AsoninlawbornintoredgroupAns.A

Q3.Whichofthefollowingisnotpermittedundertherulesasstated.(A)Abrownmalemarryinghisfather'ssister(B)Aredfemalemarryinghermother'sbrother(C)Awidowermarryinghiswife'ssister(D)Awidowmarryingherdivorceddaughter'sexhusbandAns.B

Q4.Ifwidowersanddivorcedmalesretainedtheirgrouptheyhaduponmarryingwhichofthefollowingwouldbepermissible(Assumethatnopreviousmarriageoccurred)(A)Awomanmarryingherdeadsister'shusband(B)Awomanmarryingherdivorceddaughter'sexhusband(C)Awidowermarryinghisbrother'sdaughter(D)Awomanmarryinghermother'sbrotherwhoisawidower.Ans.D

Q5.I.AllG'sareH'sII.AllG'sareJ'sorK'sIIIAllJ'sandK'sareG'sIVAllL'sareK'sVAllN'sareM'sVINoM'sareG's45.Therearesixstepsthatleadfromthefirsttothesecondfloor.NotwopeoplecanbeonthesamestepMr.AistwostepsbelowMr.CMr.BisastepnexttoMr.DOnlyonestepisvacant(Noonestandingonthatstep)Denotethefirststepbystep1andsecondstepbystep2etc.1.IfMr.Aisonthefirststep,Whichofthefollowingistrue?(a)Mr.Bisonthesecondstep(b)Mr.Cisonthefourthstep.(c)ApersonMr.E,couldbeonthethirdstep(d)Mr.DisonhigherstepthanMr.C.Ans:(d)



2.IfMr.Ewasonthethirdstep&Mr.BwasonahigherstepthanMr.Ewhichstepmustbevacant(a)step1(b)step2(c)step4(d)step5(e)step6Ans:(a)3.IfMr.Bwasonstep1,whichstepcouldAbeon?(a)2&eonly(b)3&5only(c)3&4only(d)4&5only(e)2&4onlyAns:(c)4.IfthereweretwostepsbetweenthestepthatAwasstandingandthestepthatBwasstandingon,andAwasonahigherstepthanD,Amustbeonstep(a)2(b)3(c)4(d)5(e)6Ans:(c)

5.Whichofthefollowingisfalse

i.B&Dcanbebothonoddnumberedstepsinoneconfigurationii.InaparticularconfigurationAandCmusteitherbothanoddnumberedstepsorbothanevennumberedstepsiii.ApersonEcanbeonastepnexttothevacantstep.(a)ionly(b)iionly(c)iiionly(d)bothiandiiiAns:(c)

46.SixswimmersA,B,C,D,E,Fcompeteinarace.Theoutcomeisasfollows.i.Bdoesnotwin.ii.OnlytwoswimmersseparateE&Diii.AisbehindD&Eiv.BisaheadofE,withoneswimmerinterveningv.FisaheadofD1.Whostoodfifthintherace?(a)A(b)B(c)C(d)D(e)EAns:(e)2.HowmanyswimmersseperateAandF?(a)1(b)2(c)3(d)4(e)cannotbedeterminedAns:(d)3.TheswimmerbetweenC&Eis(a)none(b)F(c)D(d)B(e)AAns:(a)

4.Iftheendoftherace,swimmerDisdisqualifiedbytheJudgesthenswimmerBfinishesinwhichplace(a)1(b)2(c)3(d)4(e)5Ans:(b)47.FivehousesletteredA,B,C,D,&Earebuiltinarownexttoeachother.ThehousesarelinedupintheorderA,B,C,D,&E.Eachofthefivehouseshasacoloredchimney.Theroofandchimneyofeachhousemustbepaintedasfollows.i.Theroofmustbepaintedeithergreen,red,or



yellow.ii.Thechimneymustbepaintedeitherwhite,black,orred.iii.Nohousemayhavethesamecolorchimneyasthecolorofroof.iv.Nohousemayuseanyofthesamecolorsthattheeverynexthouseuses.v.HouseEhasagreenroof.vi.HouseBhasaredroofandablackchimney1.Whichofthefollowingistrue?(a)Atleasttwohouseshaveblackchimney.(b)Atleasttwohouseshaveredroofs.(c)Atleasttwohouseshavewhitechimneys(d)Atleasttwohouseshavegreenroofs(e)AtleasttwohouseshaveyellowroofsAns:(c)2.Whichmustbefalse?(a)HouseAhasayellowroof(b)HouseA&Chavedifferentcolorchimney(c)HouseDhasablackchimney(d)HouseEhasawhitechimney(e)HouseB&Dhavethesamecolorroof.Ans:(b)3.IfhouseChasayellowroof.Whichmustbetrue.(a)HouseEhasawhitechimney(b)HouseEhasablackchimney(c)HouseEhasaredchimney(d)HouseDhasaredchimney(e)HouseChasablackchimneyAns:(a)4.Whichpossiblecombinationsofroof&chimneycanhouseI.Aredroof7ablackchimneyII.Ayellowroof&aredchimneyIII.Ayellowroof&ablackchimney

(a)Ionly(b)IIonly(c)IIIonly(d)I&IIonly(e)I&II&IIIAns:(e)48.Findx+2y(i).x+y=10(ii).2x+4y=20Ans:(b)

49.IsangleBACisarightangle(i)AB=2BC(2)BC=1.5ACAns:(e)50.Isxgreaterthany(i)x=2k(ii)k=2yAns:(e)

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