MATH10Word下载.docx

MATH10Word下载.docx

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Inthefigure,pointsA,B,C,D,andElieonaline.Aisonbothcircles,Bisthecenterofthesmallercircle,Cisthecenterofthelargercircle,Disonthesmallercircle,andEisonthelargercircle.Whatistheareaoftheregioninsidethelargercircleandoutsidethesmallercircle?

（1）AB=3andBC=2

（2）CD=1andDE=4

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.

Q3:

Acertaincompanyassignsemployeestoofficesinsuchawaythatsomeoftheofficescanbeemptyandmorethanoneemployeecanbeassignedtoanoffice.Inhowmanywayscanthecompanyassign3employeesto2differentoffices?

A.5

B.6

C.7

D.8

E.9

Q4:

IfSisthesumofthereciprocalsoftheconsecutiveintegersfrom91to100,inclusive,whichofthefollowingislessthanS?

I.

II.

III.

A.None

B.Ionly

C.IIIonly

D.IIandIIIonly

E.I,II,andIII

Answer:

Q5:

Ifvmt≠0,isv2m3t-4>

0?

（1）m>

v2

（2）m>

t-4

Q6:

Ifacodewordisdefinedtobeasequenceofdifferentletterschosenfromthe10lettersA,B,C,D,E,F,G,H,I,andJ,whatistheratioofthenumberof5-lettercodewordstothenumberof4-lettercodewords?

A.5to4

B.3to2

C.2to1

D.5to1

E.6to1

Q7:

Ifyisthesmallestpositiveintegersuchthat3,150multipliedbyyisthesquareofaninteger,thenymustbe

A.2

B.5

C.6

D.7

E.14

Q8:

Anequilateraltrianglethathasanareaof9

isinscribedinacircle.Whatistheareaofthecircle?

A.

B.

C.

D.

E.

Q9:

Ifxandzareintegers,isatleastoneofthemeven?

（1）x+zisodd.

（2）x-zisodd.

Q10:

Acertainquantityismeasuredontwodifferentscales,theR-scaleandtheS-scale,thatarerelatedlinearly.MeasurementsontheR-scaleof6and24correspondtomeasurementsontheS-scaleof30and60,respectively.WhatmeasurementontheR-scalecorrespondstoameasurementof100ontheS-scale?

A.20

B.36

C.48

D.60

E.84

Q11:

Thetotalcostofanofficedinnerwassharedequallybykofthenemployeeswhoattendedthedinner.Whatwasthetotalcostofthedinner?

（1）Eachofthekemployeeswhosharedthecostofthedinnerpaid$19.

（2）Ifthetotalcostofthedinnerhadbeensharedequallybyk+1ofthenemployeeswhoattendedthedinner,eachofthek+1employeeswouldhavepaid$18.

Q12:

Acertainliquidleaksoutofacontainerattherateofklitersforeveryxhours.Iftheliquidcosts$6perliter,whatisthecost,indollars,oftheamountoftheliquidthatwillleakoutinyhours?

Q13:

Whichofthefollowingisequalto

?

E.2

Q14:

Acompanyhasassignedadistinct3-digitcodenumbertoeachofits330employees.Eachcodenumberwasformedfromthedigits

2,3,4,5,6,7,8,9

andnodigitappearsmorethanonceinanyonecodenumber.Howmanyunassignedcodenumbersarethere?

A.6

B.58

C.174

D.182

E.399

Q15:

Ifs4v3x7<

0,issvx<

（1）v<

0

（2）x>

Q16:

Is

<

8?

（1）vandxareintegers.

（2）

=4and

=6

Q17:

Acertainlistconsistsof21differentnumbers.Ifnisinthelistandnis4timestheaverage（arithmeticmean）oftheother20numbersinthelist,thenniswhatfractionofthesumofthe21numbersinthelist?

Q18:

Ifwz<

2,isz<

1?

（1）w>

2

（2）z<

Q19:

Inacertainregion,thenumberofchildrenwhohavebeenvaccinatedagainstrubellaistwicethenumberwhohavebeenvaccinatedagainstmumps.Thenumberwhohavebeenvaccinatedagainstbothistwicethenumberwhohavebeenvaccinatedonlyagainstmumps.If5,000havebeenvaccinatedagainstboth,howmanyhavebeenvaccinatedonlyagainstrubella?

A.2,500

B.7,500

C.10,000

D.15,000

E.17,500

Q20:

Inthesequence1,2,4,8,16,32,…,eachtermafterthefirstistwicethepreviousterm.Whatisthesumofthe16th,17th,and18thtermsinthesequence?

A.218

B.3（217）

C.7（216）

D.3（216）

E.7（215）

Q21:

Atagaragesale,allofthepricesoftheitemssoldweredifferent.Ifthepriceofaradiosoldatthegaragesalewasboththe15thhighestpriceandthe20thlowestpriceamongthepricesoftheitemssold,howmanyitemsweresoldatthegaragesale?

A.33

B.34

C.35

D.36

E.37

Q22:

m

uº

wº

n

Linesmandnintersect,asshowninthefigureabove.Whatisthevalueofu-w?

（1）u=90

（2）Linesmandnareperpendicular.

B.Statement

（2）ALONEissufficient,butstatement

（1）aloneisnotsu