Time-35minutes 23Questions Questoins1-6 Amanbuysthreeoutfits-X,Y,andZ-eachofwhichconsistsoftwoarticles ofclothing. Eachofthearticlesofclothingiseitherbrowngrayornavy. Atleastoneoftheoutfitsismadeupoftwoarticlesdifferentincolor fromoneanother. Nomorethantwooftheoutfitscontainthesamecombinationofcolors. OutfitXcontainsatleastonenavyarticleofclothing. OutfitXcontainsatleastonebrownarticleofclothinganddoesnot containagrayarticle. 1.Whichoneofthefollowingcanbethecolorsofthemansoutfits? X:grayandnavy;Y:brownandgray;Z:grayandgray X:brownandgray;Y:brownandnavy;Z:grayandgray X:navyandnavy;Y:brownandbrown;Z:brownandnavy X:brownandnavy;Y:brownandnavy;Z:brownandnavy X:navyandnavy;Y:brownandbrown;Z:navyandnavy 2.IfoutfitsXandYeachconsistofonebrownarticleandonenavyarticle ofclothing,whatcombinationsforoutfitZ? 2 3 4 5 6 3.IfoutfitZdoesnotcontaintwobrownitemsofclothing,whatisthe maximumnumberofitemsofclothinginthethreeoutfitsthatcanbenavy? 1 2 3 4 5 4.IfoutfitYconsistsoftwobrownarticlesofclothingandoutfitZconsists oftwonavyitems,whatisthetotalnumberofpossiblecolorcombinationsfor outfitX? 1 2 3 4 5 5.WhichoneofthefollowingcolorcombinationsforoutfitZwouldbe acceptableunderanyoftheacceptablecolorcombinationsforoutfitsXandY? grayandgray brownandgray brownandbrown brownandnavy navyandnavy 6.Ifnotwooutfitscontainthesamecolorcombinationbuteachcontainsat leastonenavyitem,whichoneofthefollowingisacompleteandaccurate listofthepossiblecombinationsforoutfitX? grayandnavy brownandnavy navyandnavy grayandnavy;brownandnavy grayandnavy;navyandnavy GOonTOTHENEXTPAGE Question7-11 Fiveseatsonatrainarearrangedintworowsthatfaceeachother.The seatsinrow1areseat1andseat2.Thes eatsinrow2areseat3,seat4, andseat5inthatorder.Seat1isdirectlyacrossfromseat3.Seat2is directlyacrossfromseat4.Seat5isnotdirectlyacrossfromanyotherseat. Threewomen-,Betty,andCarol-andtwomen-DavidEdmund-eachmustbeseatedin oneofmefiveseats,onepersontoaseat. Bettysitsinseat4. CarolsitsnexttoneitherBettynorDavid. AlicedoesnotsitdirectlyacrossfromCarol. 7.IfEdmundsitsdirectlyacrossfromBetty,whichoneofthefollowingmust betrue? Alicedoesnotsitdirectlyacrossfromanyone. AlicesitsdirectlyacrossfromDavid. AlicesitsnexttoEdmund. DavidsitsnexttoAlice. DavidsitsnexttoEdmund. 8.IfEdmunddoesnotsitdirectlyacrossfromanyone,whichoneofthe followingisacompleteandaccuratelistofthosewho cannotsitinseat1? Betty Carol David BettyandCarol BettyandDavid 9.Ifnoneofthefivepassengerssitsdirectlyacrossfromapassengerofthe samesex,howmanyseatingarrangementsofthefivepassengersarepossible? exactly0 exactly1 exactly2 exactly3 exactly4 10.HowmanyoftheseatscouldbetheoneAliceselectsasherseat? 1only 2only 3only 4only 5only 11.Howmanydifferentseatingarrangementsofthepassengersmighttherebe forrow2? 2 3 4 5 6