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國外英語考試《GMAT》試題(網(wǎng)友回憶版)三[單選題]1.Solvetheproblemandindicatethe(江南博哥)bestoftheanswerchoicesgiven.______.A.B.8C.9D.10E.參考答案:C參考解析:經(jīng)過計算可知,,故本題選C項(xiàng)。[單選題]2.Inthecircularregionshownabove,sectionsAandBrepresent3/8and5/11,respectively,oftheareaofthecircularregion.SectionCrepresentswhatfractionalpartoftheareaofthecircularregion?A.15/88B.2/11C.5/22D.45/88E.73/88參考答案:A參考解析:C所占比例=,故本題選A項(xiàng)。[單選題]3.Ifxis20percentgreaterthan88,thenx=______.A.68B.70.4C.86D.105.6E.108參考答案:D參考解析:x=88+88×20%=105.6,故本題選D項(xiàng)。[單選題]4.Afarmerwith1,350acresoflandhadplantedhisfieldswithcorn,sugarcane,andtobaccointheratioof5:3:1,respectively,buthewantedtomakemoremoney,soheshiftedtheratioto2:4:3,respectively.Howmanymoreacresoflandwereplantedwithtobaccounderthenewsystem?A.90B.150C.270D.300E.450參考答案:D參考解析:新增種植煙草的面積=,故本題選D項(xiàng)。[單選題]5.Ifathree-digitnumberisselectedatrandomfromtheintegers100to999,inclusive,whatistheprobabilitythatthefirstdigitandthelastdigitoftheintegerwillbothbeexactlytwolessthanthemiddledigit?A.1:900B.7:900C.9:1,000D.1:100E.7:100參考答案:B參考解析:100到999中首位數(shù)字=末位數(shù)字=第二位數(shù)字-2的數(shù)字有131,242,353,464,575,686,797,有7種可能,故本題選B項(xiàng)。[單選題]6.ThreedifferentlumberjackscanchopWamountofwoodin30minutes,45minutes,and50minutesaccordingtotheirdifferentlevelsofskillwiththeaxe.Howmuchwood,intermsofW,couldthetwofastestlumberjackschopin2hours?A.WB.6WC.WD.3WE.W參考答案:A參考解析:總伐木量=,故本題選A項(xiàng)。[單選題]7.Solvetheproblemandindicatethebestoftheanswerchoicesgiven.LastyearJackiesaved5%ofherannualsalary.Thisyear,shemade10%moremoneythanlastyear,andshesaved8%ofhersalary.Theamountsavedthisyearwaswhatpercentoftheamountshesavedlastyear?A.56%B.76%C.158%D.176%E.188%參考答案:D參考解析:設(shè)Jackie去年收入為$100,則,故本題選D項(xiàng)。[單選題]8.If35percentof400is20percentofx,thenx=______.A.200B.350C.700D.900E.1,400參考答案:C參考解析:20%x=35%×400,故x=700.所以本題選C項(xiàng)。[單選題]9.Inasampleofassociatesatalawfirm,30percentaresecond-yearassociates,and60percentarenotfirst-yearassociates.Whatpercentageoftheassociatesatthelawfirmhavebeenthereformorethantwoyears?A.10B.20C.30D.40E.50參考答案:C參考解析:兩年以上的人員=1-30%-(1-60%)=30%,故本題選C項(xiàng)。[單選題]10.Acertainprosthodontistspecializesinimplantinggoldandsilverteethinhispatients’mouths.Hecharges$650foragoldtoothand$325forasilvertooth.Ifhistotalfeesforimplantinggoldandsilverteethlastweekwere$15,925intotal,andheimplantedfivemoregoldteeththansilverteeth,howmanyteethintotaldidheimplantovertheweek?A.31B.32C.33D.34E.35參考答案:A參考解析:設(shè)金牙的數(shù)量為x,銀牙的數(shù)量為y,故x=y+5,650x+325y=15925,故x=18.y=13,故本題選A項(xiàng)。[單選題]11.AdivavelcompanywantstocharteraplanetotheBahamas.Charteringtheplanecosts$8,000.Sofar,18peoplehavesignedupforthedivip.Ifthecompanycharges$300perticket,howmanymorepassengersmustsignupforthedivipbeforethecompanycanmakeanyprofitonthecharter?A.7B.9C.13D.27E.45參考答案:B參考解析:,故本題選B項(xiàng)。[單選題]12.Solvetheproblemandindicatethebestoftheanswerchoicesgiven.Anengineerdesignedaballsothatwhenitwasdropped,itrosewitheachbounceexactlyone-halfashighasithadfallen.Theengineerdroppedtheballfroma16-meterplatformandcaughtitafterithaddivaveled46.5meters.Howmanytimesdidtheballbounce?A.5B.6C.7D.8E.9參考答案:A參考解析:從16米的平臺落下,反彈了8米,即總共走了24米;然后再從8米落下,重復(fù)這一過程,故在工程師接到球之前,球反彈了5次,所以本題應(yīng)選A項(xiàng)。[單選題]13.Theequation(R-3)/28=(S+8)/35relatesthevaluesoftwolinkedcurrencies,whereRisthevalueindollarsofonecurrencyandSisthevalueindollarsoftheothercurrency.WhichofthefollowingequationscanbeusedtoconvertdollarvaluesfromtheRcurrencytotheScurrency?A.S=(5R-47)/4B.S=(4R+47)/5C.S=(5R+17)/4D.S=(4R-17)/5E.S=5R/4-12參考答案:A參考解析:將化簡可知,故本題選A項(xiàng)。[單選題]14.Theflatdiviangularlotdepictedaboveisavailablefordevelopment.Ifx+x/2=150meters,whatistheareaofthelotinsquaremeters?A.125B.150C.1,500D.1,250√3E.2,500參考答案:D參考解析:三角形的邊長為50,50√3,100,故三角形的面積=1250√3,選擇D項(xiàng)。[單選題]15.Lastyear’sreceiptsfromthesaleofgreetingcardsduringtheweekbeforeMother’sDaytotaled$189million,whichrepresented9percentoftotalgreetingcardsalesfortheyear.Totalgreetingcardsalesfortheyeartotaledhowmanymilliondollars?A.17,010B.2,100C.1,890D.1,701E.210參考答案:B參考解析:通過計算可知,故本題選B項(xiàng)。[單選題]16.Aninvestorbought200sharesofstockinABCDcompanyin1990.By1992,theinvestmentwasworthonly2/3ofitsoriginalvalue.By1995,the200shareswereworthonly1/2oftheirvaluein1990.Bywhatpercentdidthevalueoftheinvestmentdropfrom1992to1995?A.16%B.25%C.33%D.50%E.66%參考答案:B參考解析:設(shè)200股ABCD公司的股票在1990年價值$300,則通過計算可知在1992年價值$200,1995年價值$150,故價值下降25%,本題選B項(xiàng)。[單選題]17.Whichofthefollowingcannotbethemeanoffivepositiveintegersa,b,c,dande?A.aB.d+eC.b+c+dD.(b+c+d)/3E.(a+b+c+d+e)/5參考答案:C參考解析:根據(jù)平均數(shù)的定義可知,b+c+d大于平均數(shù),故本題選C項(xiàng)。[單選題]18.Solvetheproblemandindicatethebestoftheanswerchoicesgiven.Whatistheperimeterofthefollowingfigureabove?(Note,figurenotnecessarilydrawntoscale.)A.155B.185C.220D.235E.250參考答案:E參考解析:將上圖分為一個直角三角形和一個長方形,如圖所示:。周長=65+40+50+30+65=250,故本題選E項(xiàng)。[單選題]19.Iftheaverage(arithmeticmean)ofxandyis40,andz-x=60,whatistheaverageofyandz?A.20B.50C.65D.70E.140參考答案:D參考解析:因?yàn)閤+y=80,z-x=60,所以y、z的平均數(shù)為70,故本題選D項(xiàng)。[單選題]20.Donnaisamountainbikingenthusiast.OneSaturday,shespentthemorningbikingupanuphilldivailatanaveragespeedof20kilometersperhour,andthenreturnedbythesamerouteintheafternoonatanaveragespeedof25kilometersperhour.Ifthedownhilldivipintheafternoontook3/4ofanhourlessthantheuphilldivekinthemorning,howmanykilometersdidDonnarideeachway?A.50B.55C.65D.70E.75參考答案:E參考解析:設(shè)單程的距離為x,故,故x=75,所以本題選E項(xiàng)。[單選題]21.Ifxdollarsareinvestedat12percentforoneyearandydollarsareinvestedat8percentforoneyear,theannualincomefromthe8percentinvestmentwillexceedtheannualincomefromthe12percentinvestmentby$64.If$5,000isthetotalamountinvestedbetweenxandy,howmuchisinvestedat12percent?A.$1,680B.$1,997C.$3,003D.$3,320E.$3,500參考答案:A參考解析:根據(jù)題意列出等式0.08y=0.12x+64,y+x=5,000,故x=1680,所以選A項(xiàng)。共享題干題Thefollowingdatasufficiencyproblemsconsistofaquestionandtwostatements,labeled(1)and(2),inwhichcertaindataaregiven.Youhavetodecidewhetherthedatagiveninthestatementsaresufficientforansweringthequestion.Usingthedatagiveninthestatementsplusyourknowledgeofmathematicsandeverydayfacts(suchasthenumberofdaysinJulyorthemeaningofcounterclockwise),youmustindicatewhetherA.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D.EACHstatementALONEissufficient.E.Statements(1)and(2)TOGETHERareNOTsufficient.[問答題]1.Whatistheaverageofalistofn
consecutiveintegers?(1)Thesmallestnumberinthelistis5.(2)n=8參考答案:C參考解析:根據(jù)等差數(shù)列求和公式可知,(1)、(2)條件單獨(dú)一項(xiàng)都不能確定連續(xù)整數(shù)數(shù)列的平均數(shù),兩者結(jié)合后可以確定,故本題選C項(xiàng)。A.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D.EACHstatementALONEissufficient.E.Statements(1)and(2)TOGETHERareNOTsufficient.[問答題]2.IndiviangleABC,whatisthelengthofAB?(1)ThelengthofBCis5andthelengthofACis12.(2)AngleC=90°.參考答案:C參考解析:根據(jù)三角形性質(zhì)可知,知道兩邊以及一角可以計算第三邊的長度,故選C項(xiàng)。A.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D.EACHstatementALONEissufficient.E.Statements(1)and(2)TOGETHERareNOTsufficient.[問答題]3.Ifallapplesatacertaingrocerystoreareequallypriced,andallpearsatthesamegrocerystoreareequallypriced,whatisthepriceofapear?(1)Eightpearscosteightycentsmorethaneightapples.(2)Tenapplescosttwentycentsmorethaneightpears.參考答案:C參考解析:將兩個條件結(jié)合可以計算出每個梨價值$0.60,故本題選C項(xiàng)。A.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D.EACHstatementALONEissufficient.E.Statements(1)and(2)TOGETHERareNOTsufficient.[問答題]4.Isa3>20?(1)a4>80(2)a5>200參考答案:B參考解析:若a4>80,不能判斷a的正負(fù);若a5>200,則a>0,且a3>20,故本題選B項(xiàng)。A.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D.EACHstatementALONEissufficient.E.Statements(1)and(2)TOGETHERareNOTsufficient.[問答題]5.Howmanyprimefactorsofx
arealsoprimefactorsof
y?(1)x=30(2)y
isamultipleofx.參考答案:C參考解析:只根據(jù)(1)條件無法判斷y的情況;只根據(jù)(2)條件無法推測x的因子情況,故只有(1)、(2)條件結(jié)合才能回答問題,故本題選C項(xiàng)。A.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D.EACHstatementALONEissufficient.E.Statements(1)and(2)TOGETHERareNOTsufficient.[問答題]6.Atotalof72passengersareonaship,andtheygooutonanexcursioninboatsRandQ.Howmanyoftheship’spassengersarefemale?(1)Thereare13femalesonboatQ.(2)ThereareequalnumbersofwomenonboatsRandQ.參考答案:C參考解析:條件1中沒有涉及R船上女性的人數(shù);條件2沒有給出具體的女性人數(shù),故將兩條件相結(jié)合可以得出答案,所以本題選C項(xiàng)。A.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D.EACHstatementALONEissufficient.E.Statements(1)and(2)TOGETHERareNOTsufficient.[問答題]7.Isxyz=1?(1)x(y2)=1(2)5z=0參考答案:B參考解析:條件1不能確定z的值,故不能確定xyz是否等于1;若5z=0,則xyz=0,即xyz不等于1,故本題選B項(xiàng)。A.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D.EACHstatementALONEissufficient.E.Statements(1)and(2)TOGETHERareNOTsufficient.[問答題]8.Isrs=rx-2?(1)risanoddnumber(2)x=s+2參考答案:E參考解析:條件1不能確定r,s,x的值;條件2不能確定r的值;由x=s+2可以推知,s-x=2,但r(s-x)=2的前提條件是r=1,而條件1不能確定r是否為1,故將兩個條件結(jié)合也無法得到rs=rx-2,故本題選E項(xiàng)。A.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D.EACHstatementALONEissufficient.E.Statements(1)and(2)TOGETHERareNOTsufficient.[問答題]9.Whatisthenumberofmaleemployeesatthefactory?(1)Ifthefactorvweretohire150moreemployeesand2/3ofthemwerefemale,theratioofmaletofemaleemployeeswouldbe8:3.(2)Thefactoryhasatleasttwiceasmanymaleemployeesasfemaleemployees,anditemploysatleast150females.參考答案:E參考解析:分別用兩個條件計算,可以發(fā)現(xiàn)無法計算出男員工的數(shù)量;將兩個條件相結(jié)合也無法計算出男員工的數(shù)量,故本題應(yīng)選E項(xiàng)。A.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D.EACHstatementALONEissufficient.E.Statements(1)and(2)TOGETHERareNOTsufficient.[問答題]10.Ifeachofthesegmentsmarkedontheboardaboveisofequallength,andifxandyrepresenttheindicatedlinesontheboard,thenwhatisthedistancebetweenxandy?(Thereare12inchesinafoot).(1)Theboardisfivefeetlong.(2)xis18inchesfromthenearestendoftheboard.參考答案:D參考解析:通過條件1、2均可以知道xy間的距離為24英尺,故本題選D項(xiàng)。A.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D.EACHstatementALONEissufficient.E.Statements(1)and(2)TOGETHERareNOTsufficient.[問答題]11.Ifb>a,thenaiswhatpercentofb?(1)a=4(2)b=4a參考答案:B參考解析:由條件2可知,a是b的25%;條件1無法計算a、b關(guān)系,故本題選B項(xiàng)。A.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D.EACHstatementALONEissufficient.E.Statements(1)and(2)TOGETHERareNOTsufficient.[問答題]12.Ifnisaninteger,andn≠0,is(100+n2)/napositiveinteger?(1)n2=25(2)5n=25參考答案:B參考解析:條件1無法確定n的值;由條件2可知,n=5,故本題選B項(xiàng)。A.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D.EACHstatementALONEissufficient.E.Statements(1)and(2)TOGETHERareNOTsufficient.[問答題]13.Whatisthevalueofintegerx?(1)xisapositiveinteger(2)17≤x≤18參考答案:E參考解析:(1)中只能判斷x是整數(shù),不能判斷x的具體值;(2)中只能判斷x的取值范圍,不能判斷x的具體值;(1)和(2)合起來也不能判斷x的具體值,因?yàn)閤可以等于17或者18。所以本題選E項(xiàng)。A.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D.EACHstatementALONEissufficient.E.Statements(1)and(2)TOGETHERareNOTsufficient.[問答題]14.Theholdofafishingboatcontainsonlycod,haddock,andhalibut.Ifafishisselectedatrandomfromthehold,whatistheprobabilitythatitwillbeahalibutorahaddock?(1)Therearetwiceasmanyhalibutascodinthehold,andtwiceasmanyhaddockashalibut.(2)Codaccountfor1/7ofthefishbynumberinthehold.參考答案:D參考解析:將兩條件分別代入計算,均可算出概率為6/7,故本題選D項(xiàng)。國外英語考試《GMAT》試題(網(wǎng)友回憶版)三[單選題]1.Solvetheproblemandindicatethebestoftheanswerchoicesgiven.______.A.B.8C.9D.10E.參考答案:C參考解析:經(jīng)過計算可知,,故本題選C項(xiàng)。[單選題]2.Inthecircularregionshownabove,sectionsAandBrepresent3/8and5/11,respectively,oftheareaofthecircularregion.SectionCrepresentswhatfractionalpartoftheareaofthecircularregion?A.15/88B.2/11C.5/22D.45/88E.73/88參考答案:A參考解析:C所占比例=,故本題選A項(xiàng)。[單選題]3.Ifxis20percentgreaterthan88,thenx=______.A.68B.70.4C.86D.105.6E.108參考答案:D參考解析:x=88+88×20%=105.6,故本題選D項(xiàng)。[單選題]4.Afarmerwith1,350acresoflandhadplantedhisfieldswithcorn,sugarcane,andtobaccointheratioof5:3:1,respectively,buthewantedtomakemoremoney,soheshiftedtheratioto2:4:3,respectively.Howmanymoreacresoflandwereplantedwithtobaccounderthenewsystem?A.90B.150C.270D.300E.450參考答案:D參考解析:新增種植煙草的面積=,故本題選D項(xiàng)。[單選題]5.Ifathree-digitnumberisselectedatrandomfromtheintegers100to999,inclusive,whatistheprobabilitythatthefirstdigitandthelastdigitoftheintegerwillbothbeexactlytwolessthanthemiddledigit?A.1:900B.7:900C.9:1,000D.1:100E.7:100參考答案:B參考解析:100到999中首位數(shù)字=末位數(shù)字=第二位數(shù)字-2的數(shù)字有131,242,353,464,575,686,797,有7種可能,故本題選B項(xiàng)。[單選題]6.ThreedifferentlumberjackscanchopWamountofwoodin30minutes,45minutes,and50minutesaccordingtotheirdifferentlevelsofskillwiththeaxe.Howmuchwood,intermsofW,couldthetwofastestlumberjackschopin2hours?A.WB.6WC.WD.3WE.W參考答案:A參考解析:總伐木量=,故本題選A項(xiàng)。[單選題]7.Solvetheproblemandindicatethebestoftheanswerchoicesgiven.LastyearJackiesaved5%ofherannualsalary.Thisyear,shemade10%moremoneythanlastyear,andshesaved8%ofhersalary.Theamountsavedthisyearwaswhatpercentoftheamountshesavedlastyear?A.56%B.76%C.158%D.176%E.188%參考答案:D參考解析:設(shè)Jackie去年收入為$100,則,故本題選D項(xiàng)。[單選題]8.If35percentof400is20percentofx,thenx=______.A.200B.350C.700D.900E.1,400參考答案:C參考解析:20%x=35%×400,故x=700.所以本題選C項(xiàng)。[單選題]9.Inasampleofassociatesatalawfirm,30percentaresecond-yearassociates,and60percentarenotfirst-yearassociates.Whatpercentageoftheassociatesatthelawfirmhavebeenthereformorethantwoyears?A.10B.20C.30D.40E.50參考答案:C參考解析:兩年以上的人員=1-30%-(1-60%)=30%,故本題選C項(xiàng)。[單選題]10.Acertainprosthodontistspecializesinimplantinggoldandsilverteethinhispatients’mouths.Hecharges$650foragoldtoothand$325forasilvertooth.Ifhistotalfeesforimplantinggoldandsilverteethlastweekwere$15,925intotal,andheimplantedfivemoregoldteeththansilverteeth,howmanyteethintotaldidheimplantovertheweek?A.31B.32C.33D.34E.35參考答案:A參考解析:設(shè)金牙的數(shù)量為x,銀牙的數(shù)量為y,故x=y+5,650x+325y=15925,故x=18.y=13,故本題選A項(xiàng)。[單選題]11.AdivavelcompanywantstocharteraplanetotheBahamas.Charteringtheplanecosts$8,000.Sofar,18peoplehavesignedupforthedivip.Ifthecompanycharges$300perticket,howmanymorepassengersmustsignupforthedivipbeforethecompanycanmakeanyprofitonthecharter?A.7B.9C.13D.27E.45參考答案:B參考解析:,故本題選B項(xiàng)。[單選題]12.Solvetheproblemandindicatethebestoftheanswerchoicesgiven.Anengineerdesignedaballsothatwhenitwasdropped,itrosewitheachbounceexactlyone-halfashighasithadfallen.Theengineerdroppedtheballfroma16-meterplatformandcaughtitafterithaddivaveled46.5meters.Howmanytimesdidtheballbounce?A.5B.6C.7D.8E.9參考答案:A參考解析:從16米的平臺落下,反彈了8米,即總共走了24米;然后再從8米落下,重復(fù)這一過程,故在工程師接到球之前,球反彈了5次,所以本題應(yīng)選A項(xiàng)。[單選題]13.Theequation(R-3)/28=(S+8)/35relatesthevaluesoftwolinkedcurrencies,whereRisthevalueindollarsofonecurrencyandSisthevalueindollarsoftheothercurrency.WhichofthefollowingequationscanbeusedtoconvertdollarvaluesfromtheRcurrencytotheScurrency?A.S=(5R-47)/4B.S=(4R+47)/5C.S=(5R+17)/4D.S=(4R-17)/5E.S=5R/4-12參考答案:A參考解析:將化簡可知,故本題選A項(xiàng)。[單選題]14.Theflatdiviangularlotdepictedaboveisavailablefordevelopment.Ifx+x/2=150meters,whatistheareaofthelotinsquaremeters?A.125B.150C.1,500D.1,250√3E.2,500參考答案:D參考解析:三角形的邊長為50,50√3,100,故三角形的面積=1250√3,選擇D項(xiàng)。[單選題]15.Lastyear’sreceiptsfromthesaleofgreetingcardsduringtheweekbeforeMother’sDaytotaled$189million,whichrepresented9percentoftotalgreetingcardsalesfortheyear.Totalgreetingcardsalesfortheyeartotaledhowmanymilliondollars?A.17,010B.2,100C.1,890D.1,701E.210參考答案:B參考解析:通過計算可知,故本題選B項(xiàng)。[單選題]16.Aninvestorbought200sharesofstockinABCDcompanyin1990.By1992,theinvestmentwasworthonly2/3ofitsoriginalvalue.By1995,the200shareswereworthonly1/2oftheirvaluein1990.Bywhatpercentdidthevalueoftheinvestmentdropfrom1992to1995?A.16%B.25%C.33%D.50%E.66%參考答案:B參考解析:設(shè)200股ABCD公司的股票在1990年價值$300,則通過計算可知在1992年價值$200,1995年價值$150,故價值下降25%,本題選B項(xiàng)。[單選題]17.Whichofthefollowingcannotbethemeanoffivepositiveintegersa,b,c,dande?A.aB.d+eC.b+c+dD.(b+c+d)/3E.(a+b+c+d+e)/5參考答案:C參考解析:根據(jù)平均數(shù)的定義可知,b+c+d大于平均數(shù),故本題選C項(xiàng)。[單選題]18.Solvetheproblemandindicatethebestoftheanswerchoicesgiven.Whatistheperimeterofthefollowingfigureabove?(Note,figurenotnecessarilydrawntoscale.)A.155B.185C.220D.235E.250參考答案:E參考解析:將上圖分為一個直角三角形和一個長方形,如圖所示:。周長=65+40+50+30+65=250,故本題選E項(xiàng)。[單選題]19.Iftheaverage(arithmeticmean)ofxandyis40,andz-x=60,whatistheaverageofyandz?A.20B.50C.65D.70E.140參考答案:D參考解析:因?yàn)閤+y=80,z-x=60,所以y、z的平均數(shù)為70,故本題選D項(xiàng)。[單選題]20.Donnaisamountainbikingenthusiast.OneSaturday,shespentthemorningbikingupanuphilldivailatanaveragespeedof20kilometersperhour,andthenreturnedbythesamerouteintheafternoonatanaveragespeedof25kilometersperhour.Ifthedownhilldivipintheafternoontook3/4ofanhourlessthantheuphilldivekinthemorning,howmanykilometersdidDonnarideeachway?A.50B.55C.65D.70E.75參考答案:E參考解析:設(shè)單程的距離為x,故,故x=75,所以本題選E項(xiàng)。[單選題]21.Ifxdollarsareinvestedat12percentforoneyearandydollarsareinvestedat8percentforoneyear,theannualincomefromthe8percentinvestmentwillexceedtheannualincomefromthe12percentinvestmentby$64.If$5,000isthetotalamountinvestedbetweenxandy,howmuchisinvestedat12percent?A.$1,680B.$1,997C.$3,003D.$3,320E.$3,500參考答案:A參考解析:根據(jù)題意列出等式0.08y=0.12x+64,y+x=5,000,故x=1680,所以選A項(xiàng)。A.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D.EACHstatementALONEissufficient.E.Statements(1)and(2)TOGETHERareNOTsufficient.[問答題]1.Whatistheaverageofalistofn
consecutiveintegers?(1)Thesmallestnumberinthelistis5.(2)n=8參考答案:C參考解析:根據(jù)等差數(shù)列求和公式可知,(1)、(2)條件單獨(dú)一項(xiàng)都不能確定連續(xù)整數(shù)數(shù)列的平均數(shù),兩者結(jié)合后可以確定,故本題選C項(xiàng)。A.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D.EACHstatementALONEissufficient.E.Statements(1)and(2)TOGETHERareNOTsufficient.[問答題]2.IndiviangleABC,whatisthelengthofAB?(1)ThelengthofBCis5andthelengthofACis12.(2)AngleC=90°.參考答案:C參考解析:根據(jù)三角形性質(zhì)可知,知道兩邊以及一角可以計算第三邊的長度,故選C項(xiàng)。A.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D.EACHstatementALONEissufficient.E.Statements(1)and(2)TOGETHERareNOTsufficient.[問答題]3.Ifallapplesatacertaingrocerystoreareequallypriced,andallpearsatthesamegrocerystoreareequallypriced,whatisthepriceofapear?(1)Eightpearscosteightycentsmorethaneightapples.(2)Tenapplescosttwentycentsmorethaneightpears.參考答案:C參考解析:將兩個條件結(jié)合可以計算出每個梨價值$0.60,故本題選C項(xiàng)。A.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D.EACHstatementALONEissufficient.E.Statements(1)and(2)TOGETHERareNOTsufficient.[問答題]4.Isa3>20?(1)a4>80(2)a5>200參考答案:B參考解析:若a4>80,不能判斷a的正負(fù);若a5>200,則a>0,且a3>20,故本題選B項(xiàng)。A.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D.EACHstatementALONEissufficient.E.Statements(1)and(2)TOGETHERareNOTsufficient.[問答題]5.Howmanyprimefactorsofx
arealsoprimefactorsof
y?(1)x=30(2)y
isamultipleofx.參考答案:C參考解析:只根據(jù)(1)條件無法判斷y的情況;只根據(jù)(2)條件無法推測x的因子情況,故只有(1)、(2)條件結(jié)合才能回答問題,故本題選C項(xiàng)。A.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D.EACHstatementALONEissufficient.E.Statements(1)and(2)TOGETHERareNOTsufficient.[問答題]6.Atotalof72passengersareonaship,andtheygooutonanexcursioninboatsRandQ.Howmanyoftheship’spassengersarefemale?(1)Thereare13femalesonboatQ.(2)ThereareequalnumbersofwomenonboatsRandQ.參考答案:C參考解析:條件1中沒有涉及R船上女性的人數(shù);條件2沒有給出具體的女性人數(shù),故將兩條件相結(jié)合可以得出答案,所以本題選C項(xiàng)。A.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D.EACHstatementALONEissufficient.E.Statements(1)and(2)TOGETHERareNOTsufficient.[問答題]7.Isxyz=1?(1)x(y2)=1(2)5z=0參考答案:B參考解析:條件1不能確定z的值,故不能確定xyz是否等于1;若5z=0,則xyz=0,即xyz不等于1,故本題選B項(xiàng)。A.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D.EACHstatementALONEissufficient.E.Statements(1)and(2)TOGETHERareNOTsufficient.[問答題]8.Isrs=rx-2?(1)risanoddnumber(2)x=s+2參考答案:E參考解析:條件1不能確定r,s,x的值;條件2不能確定r的值;由x=s+2可以推知,s-x=2,但r(s-x)=2的前提條件是r=1,而條件1不能確定r是否為1,故將兩個條件結(jié)合也無法得到rs=rx-2,故本題選E項(xiàng)。A.Statement(1)ALONEissufficient,butstatement(2)aloneisnotsufficient.B.Statement(2)ALONEissufficient,butstatement(1)aloneisnotsufficient.C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.D.EACHstatementALONEissufficient.E.Statements(1)and(2)TOGETHERareNOTsufficient.[問答題]9.Whatisthenumberofmaleemployeesatthefactory?(1)Ifthefactorvweretohire150moreemployeesand2/3ofthemwerefemale,theratioofmaletofemaleemployeeswouldbe8:3.(2)Thefactoryhasatleasttwiceasmanymaleemployeesasfemaleemployees,anditemploysatleast150females.參考答案:E參考解析:分別用兩個條件計算,可以發(fā)現(xiàn)
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