MATH5.docx

MATH5.docx

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MATH5

MathSection

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Q1:

ELECTRICITYUSAGEINACERTAIN

HOUSEHOLDONMAY1

Appliance

NumberofHoursinUse

NumberofWattsofElectricityUsedperHour

TV

4

145

Computer

3

155

VCR

2

45

Stereo

2

109

Accordingtothetableabove,whatwasthetotalnumberofwattsofelectricityusedforthefourappliancesinthehouseholdonMay1?

A.454

B.860

C.1,100

D.1,230

E.1,353

Answer:

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Q2:

Whatistheratiooftheaverage（arithmeticmean）heightofstudentsinclassXtotheaverageheightofstudentsinclassY?

（1）TheaverageheightofthestudentsinclassXis120centimeters.

（2）TheaverageheightofthestudentsinclassXandclassYcombinedis126centimeters.

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.

Answer:

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Q3:

Ifacommitteeof3peopleistobeselectedfromamong5marriedcouplessothatthecommitteedoesnotincludetwopeoplewhoaremarriedtoeachother,howmanysuchcommitteesarepossible?

A.20

B.40

C.50

D.80

E.120

Answer:

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Q4:

√[2√63+2/（8+3√7）]=

A.8+3√7

B.4+3√7

C.8

D.4

E.√7

Answer:

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Q5:

Theinfinitesequencea1,a2,…,an,…issuchthata1=2,a2=-3,a3=5,a4=-1,andan=an-4forn>4.Whatisthesumofthefirst97termsofthesequence?

A.72

B.74

C.75

D.78

E.80

Answer:

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Q6:

Theratioofthenumberofredcarsinacertainparkinglottothenumberofblackcarsis3to8.Ifthereare72blackcarsinthelot,howmanyredcarsarethereinthelot?

A.11

B.15

C.24

D.27

E.32

Answer:

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Q7:

Whatisthevalueof│x+7│?

（1）│x+3│=14

（2）（x+2）2=169

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.

Answer:

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Q8:

3

3

3

x3

Note:

Figurenotdrawntoscale.

Thefigureaboverepresentsasquaregardenthatisdividedinto9rectangularregionswithindicateddimensionsinmeters.Theshadedregionsareplantedwithpeas,andtheunshadedregionsareplantedwithtomatoes.Ifthesumoftheareasoftheregionsplantedwithpeasisequaltothesumoftheareasoftheregionsplantedwithtomatoes,whatisthevalueofx?

A.0.5

B.1

C.1.5

D.2

E.2.5

Answer:

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Q9:

Inthexy-plane,thepoint（-2,-3）isthecenterofacircle.Thepoint（-2,1）liesinsidethecircleandthepoint（4,-3）liesoutsidethecircle.Iftheradiusrofthecircleisaninteger,thenr=

A.6

B.5

C.4

D.3

E.2

Answer:

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Q10:

When200gallonsofoilwereremovedfromatank,thevolumeofoilleftinthetankwas3/7ofthetank’scapacity.Whatwasthetank’scapacity?

（1）Beforethe200gallonswereremoved,thevolumeofoilinthetankwas1/2ofthetank’scapacity.

（2）Afterthe200gallonswereremoved,thevolumeofoilleftinthetankwas1,600gallonslessthanthetank’scapacity.

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.

Answer:

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Q11:

AcertainbusinessproducedxrakeseachmonthformNovemberthroughFebruaryandshippedx/2rakesatthebeginningofeachmonthfromMarchthroughOctober.ThebusinesspaidnostoragecostsfortherakesfromNovemberthroughFebruary,butitpaidstoragecostsof$0.10perrakeeachmonthfromMarchthroughOctoberfortherakesthathadnotbeenshipped.Intermsofx,whatwasthetotalstoragecost,indollars,thatthebusinesspaidfortherakesforthe12monthsformNovemberthroughOctober?

A.0.40x

B.1.20x

C.1.40x

D.1.60x

E.3.20x

Answer:

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Q12:

Foracertainplayperformance,adults’ticketsweresoldfor$12eachandchildren’sticketsweresoldfor$8each.Howmanychildren’sticketsweresoldfortheperformance?

（1）Thetotalrevenuefromthesaleofadults’andchildren’sticketsfortheperformancewas$5,040.

（2）Thenumberofadults’ticketssoldfortheperformancewas1/3thetotalnumberofadults’andchildren’sticketssoldfortheperformance.

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.

Answer:

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Q13:

Whatistheremainderwhenthepositiveintegernisdividedby3?

（1）Theremainderwhennisdividedby2is1.

（2）Theremainderwhenn+1isdividedby3is2.

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.

Answer:

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Q14:

Iftheaverage（arithmeticmean）ofx,y,and20is10greaterthantheaverageofx,y,20,and30,whatistheaverageofxandy?

A.40

B.45

C.60

D.75

E.95

Answer:

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Q15:

Ifxandyareintegers,isx+ygreaterthan0?

（1）xisgreaterthan0.

（2）yislessthan1.

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.

Answer:

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Q16:

Whatisthevalueof3-（x+y）/3-（x-y）?

（1）x=2

（2）y=3

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.

Answer:

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Q17:

Adrivercompletedthefirst20milesofa40-miletripatanaveragespeedof50milesperhour.Atwhataveragespeedmustthedrivercompletetheremaining20milestoachieveanaveragespeedof60milesperhourfortheentire40-miletrip?

（Assumethatthedriverdidnotmakeanystopsduringthe40-miletrip.）

A.65mph

B.68mph

C.70mph

D.75mph

E.80mph

Answer:

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Q18:

Ifthesymbol▼representseitheraddition,subtraction,multiplication,ordivision,whatisthevalueof6▼2?

（1）10▼5=2

（2）4▼2=2

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.

Answer:

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Q19:

Inasurveyof200collegegraduates,30percentsaidtheyhadreceivedstudentloansduringtheircollegecareers,and40percentsaidtheyhadreceivedscholarships.Whatpercentofthosesurveyeds