MATH20.docx

MATH20.docx

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MATH20

MathSection

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Q1:

IfHenryweretoadd5gallonsofwatertoatankthatisalready

fullofwater,thetankwouldbe

full.Howmanygallonsofwaterwouldthetankholdifitwerefull?

A.25

B.40

C.64

D.80

E.96

Answer:

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Q2:

=

A.8+3

B.4+3

C.8

D.4

E.

Answer:

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Q3:

Forallpositiveintegersmandv,theexpressionmΘvrepresentstheremainderwhenmisdividedbyv.Whatisthevalueof

?

A.-10

B.-2

C.8

D.13

E.17

Answer:

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Q4:

IsthenumberofmembersofClubXgreaterthanthenumberofmembersofClubY?

（1）OfthemembersofClubX,20percentarealsomembersofClubY.

（2）OfthemembersofClubY,30percentarealsomembersofClubX.

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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Q5:

Ifk,m,andtarepositiveintegersand

+

=

dotand12haveacommonfactorgreaterthan1?

（1）kisamultipleof3.

（2）misamultipleof3.

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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Q6:

Ifwaterisleakingfromacertaintankataconstantrateof1,200millilitersperhour,howmanysecondsdoesittakefor1milliliterofwatertoleakfromthetank?

A.

B.

C.2

D.3

E.20

Answer:

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Q7:

Onanaerialphotograph,thesurfaceofapondappearsascircularregionofradius

inch.Ifadistanceof1inchonthephotographcorrespondstoanactualdistanceof2miles,whichofthefollowingistheclosestestimateoftheactualsurfaceareaofthepond,insquaremiles?

A.1.3

B.2.4

C.3.0

D.3.8

E.5.0

Answer:

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Q8:

Howmanyintegersfrom0to50,inclusive,havearemainderof1whendividedby3?

A.15

B.16

C.17

D.18

E.19

Answer:

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Q9:

YesterdayDianaspentatotalof240minutesattendingatrainingclass,respondingtoE-mails,andtalkingonthephone.Ifshedidnotwoofthesethreeactivitiesatthesametime,howmuchtimedidshespendtalkingonthephone?

（1）YesterdaytheamountoftimethatDianaspentattendingthetrainingclasswas90percentoftheamountoftimethatshespentrespondingtoE-mails.

（2）YesterdaytheamountoftimethatDianaspentattendingthetrainingclasswas60percentofthetotalamountoftimethatshespentrespondingtoE-mailsandtalkingonthephone.

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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Q10:

Ifx2+3x+c=（x+a）（x+b）forallx,whatisthevalueofc?

（1）a=1

（2）b=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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Q11:

If36x=8,100,whatisthevalueof（3x–1）3?

A.90

B.30

C.10

D.

E.

Answer:

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Q12:

Whatisthecuberootofw?

（1）The5throotofwis64.

（2）The15throotofwis4.

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:

Isthenumberofsecondsrequiredtotraveld1feetatr1feetpersecondgreaterthanthenumberofsecondsrequiredtotraveld2feetatr2feetpersecond?

（1）d1is30greaterthand2.

（2）r1is30greaterthanr2.

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:

Sixcardsnumberedfrom1to6areplacedinanemptybowl.Firstonecardisdrawnandthenputbackintothebowl;thenasecondcardisdrawn.Ifthecardsaredrawnatrandomandifthesumofthenumbersonthecardsis8,whatistheprobabilitythatoneofthetwocardsdrawnisnumbered5?

A.

B.

C.

D.

E.

Answer:

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Q15:

Ifthesumof5,8,12,and15isequaltothesumof3,4,x,andx+3,whatisthevalueofx?

A.14

B.15

C.16

D.17

E.18

Answer:

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Q16:

Ifn>0,whichisgreater,20percentofnor10percentofthesumofnand0.5?

（1）n<0.1

（2）n>0.01

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:

Howmanyprimenumbersbetween1and100arefactorsof7,150?

A.One

B.Two

C.Three

D.Four

E.Five

Answer:

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Q18:

Eachweek,Harryispaidxdollarsperhourforthefirst30hoursand1.5xdollarsforeachadditionalhourworkedthatweek.Eachweek,Jamesispaidxdollarsperhourforthefirst40hoursand2xdollarsforeachadditionalhourworkedthatweek.LastweekJamesworkedatotalof41hours.IfHarryandJameswerepaidthesameamountlastweek,howmanyhoursdidHarryworklastweek?

A.35

B.36

C.37

D.38

E.39

Answer:

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Q19:

Acertaincompanythatsellsonlycarsandtrucksreportedthatrevenuesfromcarsalesin1997weredown11percentfrom1996andrevenuesfromtrucksalesin1997wereup7percentfrom1996.Iftotalrevenuesfromcarsalesandtrucksalesin1997wereup1percentfrom1996,whatistheratioofrevenuefromcarsalesin1996torevenuefromtrucksalesin1996?

A.1:

2

B.4:

5

C.1:

1

D.3:

2

E.5:

3

Answer:

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Q20:

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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Q21:

k,n,12,6,17

Whatisthevalueofninthelistabove?

（1）k

（2）Themedianofthenumbersinthelistis10.

A.Statement

（1）ALONEissufficient,butstatement

（2）aloneisnotsufficient.

B.S