超级强化b讲义

超级强化B班讲义7.27-8.10iii

8±XGREMattGRE

数学GMAT数学GRE

逻辑题GMAT逻辑题Weibo:

马鸿旭MattEmail:武汉大学

工学学士

遥感科学与技术武汉大学

工学硕士

水文学与水资源管理加州大学伯克利分校

UC-Berkeley

全额奖学金

地理学博士&计算机硕士中国教育电视台《天才知道》全国总冠军代表作《怕，有什么可怕的》《聪明人的笨功夫》Why

ME？GRE

Math

只拿到170分，因为满分只有170.强悍的数学功底和解题分析能力也许是业界学历和学力最高的Math老师2小时课程，却是你整个学习生涯从未有过的全新体验你会发现，原来知识是如此性感。学习，竟是一种初恋的感觉the

REASON

why• 一套独特的GRE数学分析解题方法，无视入学基础，暴力解题方法帮你直指170。• 对当今地球上所有的GRE

数学题了如指掌，高效分析方法，帮你瞬间洞悉出错环节，对症下药。• 因为热爱，而充满激情。在这里你学到的不只是GRE。Breakdown

of

Math

SectionAll

numbers

used

in

the

test

questions

are

real

numbers.When

the

number

is

rounded,the

number

should

be

rounded

to

the

greater

possibility.

(with

greater

absolute

value.)• 23.5• -36.5有道学堂GRE@马鸿旭MattBreakdown

of

Math

SectionThe

factors

ofan

integer

include

positive

and

negative

integers.-7

is

a

factor

of35Ifan

integer

n

is

divided

by

a

nonzero

integer

d

resulting

in

a

quotient

qwith

remainder

r,Then

n=qd+r,

where

0≤

𝒓<

𝒅20/7

the

quotient

is

2

and

the

remainder

is

6;-17/7

quotient?

Remainder?• 0positive

or

negative?Composite

number

or

Prime

number?How

about

1?有道学堂GRE@马鸿旭MattBreakdown

of

Math

SectionThe

Concept

and

Properties

of

Common

ModeIt’s

a

Monday

on

Jan.

1st

2001,

what

day

it

is

on

Jan

1st

2015?有道学堂GRE@马鸿旭MattBreakdown

of

Math

SectionAngle

measures

are

in

degrees

and

assumed

to

be

positive

and

lessthan

or

equal

to

360

degrees.Geometricfigures

are

not

necessarily

drawn

to

scale.有道学堂GRE@马鸿旭MattBreakdown

of

Math

SectionThere

are

twice

as

many

girls

as

boys.That

means

for

every

boy

there

are

2

girls.There

are

twice

asmany

stars

in

my

world

as

in

the

sky.有道学堂GRE@马鸿旭MattSubjectsArithmetic

and

FractionsPercents

and

RatiosInteger

PropertiesAlgebra,

Equations,

and

InequalitiesWord

ProblemsPowers

and

RootsGeometryCoordinate

GeometryStatisticsCountingProbabilityData

Interpretation有道学堂GRE@马鸿旭Matt有道学堂GRE@马鸿旭MattArithmetic

and

Fractions有道学堂GRE@马鸿旭MattArithmetic

and

Fractions有道学堂GRE@马鸿旭MattArithmetic

and

Fractions有道学堂GRE@马鸿旭MattArithmetic

and

FractionsHundredsTensOnesDecimals有道学堂GRE@马鸿旭MattArithmetic

and

Fractions0.3X=0.310X=3.39X=3X=1/3有道学堂GRE@马鸿旭MattArithmetic

and

Fractions有道学堂GRE@马鸿旭MattArithmetic

and

Fractions有道学堂GRE@马鸿旭MattArithmetic

and

FractionsArithmetic

and

Fractions有道学堂GRE@马鸿旭MattArithmetic

and

Fractions有道学堂GRE@马鸿旭MattArithmetic

and

Fractions有道学堂GRE@马鸿旭MattArithmetic

and

Fractions有道学堂GRE@马鸿旭MattArithmetic

and

Fractions有道学堂GRE@马鸿旭MattArithmetic

and

Fractions有道学堂GRE@马鸿旭MattArithmetic

and

Fractions有道学堂GRE@马鸿旭MattPercents

and

Ratios有道学堂GRE@马鸿旭MattPercents

and

Ratios有道学堂GRE@马鸿旭MattPercents

and

Ratios有道学堂GRE@马鸿旭MattPercents

and

Ratios有道学堂GRE@马鸿旭MattPercents

and

Ratios有道学堂GRE@马鸿旭MattPercents

and

Ratios有道学堂GRE@马鸿旭MattPercents

and

Ratios有道学堂GRE@马鸿旭MattPercents

and

Ratios有道学堂GRE@马鸿旭MattPercents

and

Ratios有道学堂GRE@马鸿旭MattPercents

and

Ratios有道学堂GRE@马鸿旭MattPercents

and

Ratios有道学堂GRE@马鸿旭MattPercents

and

Ratios有道学堂GRE@马鸿旭MattPercents

and

Ratios有道学堂GRE@马鸿旭MattPercents

and

Ratios有道学堂GRE@马鸿旭MattPercents

and

Ratios有道学堂GRE@马鸿旭MattPercents

and

Ratios有道学堂GRE@马鸿旭MattInteger

Properties有道学堂GRE@马鸿旭MattInteger

Properties有道学堂GRE@马鸿旭MattInteger

Properties有道学堂GRE@马鸿旭MattInteger

Properties有道学堂GRE@马鸿旭MattInteger

Properties有道学堂GRE@马鸿旭MattInteger

Properties有道学堂GRE@马鸿旭MattInteger

Properties有道学堂GRE@马鸿旭MattInteger

Properties有道学堂GRE@马鸿旭MattInteger

Properties有道学堂GRE@马鸿旭MattInteger

Properties有道学堂GRE@马鸿旭MattInteger

Properties有道学堂GRE@马鸿旭MattInteger

Properties有道学堂GRE@马鸿旭MattInteger

Properties有道学堂GRE@马鸿旭MattInteger

Properties有道学堂GRE@马鸿旭MattInteger

Properties有道学堂GRE@马鸿旭MattInteger

Properties有道学堂GRE@马鸿旭MattInteger

Properties有道学堂GRE@马鸿旭MattInteger

Properties有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattSubjectsArithmetic

and

FractionsPercents

and

RatiosInteger

PropertiesAlgebra,

Equations,

and

InequalitiesWord

ProblemsPowers

and

RootsGeometryCoordinate

GeometryStatisticsCountingProbabilityData

Interpretation有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattAlgebra,

Equations,

and

Inequalities有道学堂GRE@马鸿旭MattWord

Problems有道学堂GRE@马鸿旭MattWord

Problems有道学堂GRE@马鸿旭MattWord

Problems1

mile

=1.609km

=1609m

=

5280feet1

feet

=

0.3m

=

12

inch有道学堂GRE@马鸿旭MattWord

Problems有道学堂GRE@马鸿旭MattWord

Problems有道学堂GRE@马鸿旭MattWord

Problems有道学堂GRE@马鸿旭MattSUM=𝑨�+𝑨𝒏∗𝒏�Word

Problems有道学堂GRE@马鸿旭MattWord

Problems有道学堂GRE@马鸿旭MattWord

Problems有道学堂GRE@马鸿旭MattWord

Problems有道学堂GRE@马鸿旭MattWord

Problems有道学堂GRE@马鸿旭MattWord

Problems有道学堂GRE@马鸿旭MattWord

Problems有道学堂GRE@马鸿旭MattPowers

and

Roots有道学堂GRE@马鸿旭MattPowers

and

Roots有道学堂GRE@马鸿旭MattPowers

and

Roots有道学堂GRE@马鸿旭MattPowers

and

Roots有道学堂GRE@马鸿旭MattPowers

and

Roots有道学堂GRE@马鸿旭MattPowers

and

Roots有道学堂GRE@马鸿旭MattPowers

and

Roots有道学堂GRE@马鸿旭MattPowers

and

Roots有道学堂GRE@马鸿旭MattPowers

and

Roots有道学堂GRE@马鸿旭MattPowers

and

Roots有道学堂GRE@马鸿旭MattPowers

and

Roots有道学堂GRE@马鸿旭MattPowers

and

Roots有道学堂GRE@马鸿旭MattPowers

and

Roots有道学堂GRE@马鸿旭MattGeometry有道学堂GRE@马鸿旭MattGeometry有道学堂GRE@马鸿旭MattGeometry有道学堂GRE@马鸿旭MattGeometry有道学堂GRE@马鸿旭MattGeometry有道学堂GRE@马鸿旭MattGeometry有道学堂GRE@马鸿旭MattGeometry有道学堂GRE@马鸿旭MattGeometry有道学堂GRE@马鸿旭MattGeometry有道学堂GRE@马鸿旭MattGeometryiii+

*--y-&GRE@

²//I+-§¶i±

MattGeometry有道学堂GRE@马鸿旭MattGeometry有道学堂GRE@马鸿旭MattGeometry有道学堂GRE@马鸿旭MattGeometry有道学堂GRE@马鸿旭MattGeometry有道学堂GRE@马鸿旭MattGeometry有道学堂GRE@马鸿旭MattCoordinate

Geometry有道学堂GRE@马鸿旭MattCoordinate

Geometry有道学堂GRE@马鸿旭MattCoordinate

Geometry有道学堂GRE@马鸿旭MattCoordinate

Geometry有道学堂GRE@马鸿旭MattCoordinate

Geometry有道学堂GRE@马鸿旭MattCoordinate

Geometry有道学堂GRE@马鸿旭MattCoordinate

Geometry有道学堂GRE@马鸿旭MattCoordinate

Geometry有道学堂GRE@马鸿旭MattCoordinate

Geometry有道学堂GRE@马鸿旭MattCoordinate

Geometry有道学堂GRE@马鸿旭MattStatistics有道学堂GRE@马鸿旭MattStatistics有道学堂GRE@马鸿旭MattStatistics有道学堂GRE@马鸿旭MattStatistics有道学堂GRE@马鸿旭MattStatistics有道学堂GRE@马鸿旭Matt34%13.5%2.5%[M-2D,M+2D]=95%[M-3D,M+3D]=99%Statistics有道学堂GRE@马鸿旭MattStatistics有道学堂GRE@马鸿旭MattStatistics有道学堂GRE@马鸿旭MattStatistics有道学堂GRE@马鸿旭MattStatistics有道学堂GRE@马鸿旭MattStatistics有道学堂GRE@马鸿旭MattStatistics有道学堂GRE@马鸿旭MattStatistics有道学堂GRE@马鸿旭MattStatistics有道学堂GRE@马鸿旭MattCounting有道学堂GRE@马鸿旭MattCounting有道学堂GRE@马鸿旭MattCounting有道学堂GRE@马鸿旭MattCounting有道学堂GRE@马鸿旭MattCounting有道学堂GRE@马鸿旭MattCounting有道学堂GRE@马鸿旭MattCounting有道学堂GRE@马鸿旭MattCounting有道学堂GRE@马鸿旭MattCounting有道学堂GRE@马鸿旭MattCounting有道学堂GRE@马鸿旭MattProbability有道学堂GRE@马鸿旭MattProbability有道学堂GRE@马鸿旭MattProbability有道学堂GRE@马鸿旭MattProbability有道学堂GRE@马鸿旭MattProbability有道学堂GRE@马鸿旭MattProbability有道学堂GRE@马鸿旭MattProbability有道学堂GRE@马鸿旭MattProbability有道学堂GRE@马鸿旭MattProbability有道学堂GRE@马鸿旭MattProbability有道学堂GRE@马鸿旭MattProbability有道学堂GRE@马鸿旭MattData

Interpretation有道学堂GRE@马鸿旭MattData

Interpretation有道学堂GRE@马鸿旭MattData

Interpretation有道学堂GRE@马鸿旭MattData

Interpretation有道学堂GRE@马鸿旭MattData

Interpretation有道学堂GRE@马鸿旭MattData

Interpretation有道学堂GRE@马鸿旭MattWorld's

Total

RiceProduction

in2004

=

368,080,000metric

tons有道学堂GREData

Interpretation@马鸿旭MattWorld's

Total

RiceProduction

in2004

=

368,080,000metric

tons有道学堂GREData

Interpretation@马鸿旭MattWorld's

Total

RiceProduction

in2004

=

368,080,000metric

tons有道学堂GREData

Interpretation@马鸿旭MattFor

the

following

question,

selem

all

the

answer

choices

that

apply.•

The

total

amount

that

Mary

paid

for

a

book

was

equal

to

the

price

of

the

book

plus

a

sales

tax

that

was

4

percent

of

the

price

of

the

book.

Mary

paid

for

thebook

with

a

$10

bill

and

received

the

correct

change,

which

was

less

than$3.00.

Which

of

the

following

statements

must

be

true?•'Indicate

all

such

statements.•AsThe

price

of

the

book

was

less

than

$9.50.<BeThe

price

of

the

book

was

greater

than

$6.90.•C•The

sales

tax

was

less

than

$0.45.«These

questions

refer

to

the

folloivine

irifrijxrjntjorj

+hospital

patients

who

had

been

treated

for

the

same

ilJ»«××

uere

given

a

neii'

treaanent

in

a

research

stuQ'.

Tbe;-

were

then

asked

to

ei

aluate

whether

dve

symptoms,

H,

L,

P,

T,

md

J',u

cie

made

better

or

iiorse

bJ

the

new

treatment

compared

to

the

old

aeatment.

For

each'mptoio,

each

patient

used

one

of

five

ratings.•2.

much

betters1.

someuhat

betters0.

neither

better

nor

iiorse•'-I:

somewhat

iioise•'—2:

much

worsenFor

each

'mptom,

the

sum

and

standard

deviation

of

the

ratings

are

listed

below.•Sum

of

Standard

DeviationRATINGS

FOR

SYMPTOM

›•›'RawNumberenisIn

the

Ratings

for

Symptom

H

table

shoii'ir.

which

of

the

folloiiing

could

be

r,

s,

and

t,respectii

ch•?•30

Rahngs

of

0

R120,

7,1,

10,

4«2,

19,

02,

4,In

1993

the

average

(arithmetic

mean)

price

per

card

for

all

greeting

cards

sold

was

$1.25.

For

which

of

the

following

occasions

was

the

number

of

cards

sold

in

1993

lessthan

the

totalnumber

of

cards

sold

that

year

for

occasions

other

than

the

ten

occasions

shown?Indicate

all

such

occasions.•A•H•Christmas•Valentine’s

Day•

EasternMother’s

Day•

Father’s

Day•Thanksgiving•Hallo‹veen•A

flat,

rectangular

flower

bed

tvith

an

area

of

2,400

square

feet

is

bordered

by

a

fence

on

three

sides

and

by

a

›valk1vay

onthe

fourth

side.

If

the

entire

len@h

of

the

fence

is

140

feet,

which

of

the

following

could

be

the

len@h,

in

feet,

of

one

of

the

sides

of

the

flo\ver

bed?•Indicate

all

such

len@hs.

•A•7AH+Let

¿

be

a

point

on

a

Circle

›VhOSe

Center

is

R

.

It

Pg

is

a

Chord

that

passesperpendiCularly

through

the

midpoint

of

AS,

then

the

length

of

arC

PSQ

iswhat

fi-aCtion

of

tht?

Ci

i-cle

S

Cii-cuna

fei-enCe?•When

the

decimal

point

of

a

certain

positive

decimal

number

is

moved

six

placesto

the

right,the

resulting

number

is

9times

the

reciprocal

of

the

original

num&r.

What

is

the

original

number?+'Last

year,

Me.!a..n.i.a.

had

a

total

of

$20,000

invested

in

two

mutual

funds,

Capital

Growth

Fund

and

Venture

Index

Fund.

At

the

end

of

the

year,

she

analyzed

leer

investments

and

found

that

Is

ei-

ea

i-wings

on

her

shares

of

Capital

Growth

Fund

wei-e

thi-ee

times

half

of

her

earnings

on

her

investi›s

ent

in

Venture

Index

Fund.

If

she

eai-ned

a

total

of

$

1,250

on

her

investments

inthe

two

funds,

and

l1ad

three

tin1es

as

n1UCh

n1oney

invested

ii1

Capital

Growth

Fund

as

in

Venture

Index

Fund,

what

perCent

intei"iBSt

did

f4

el.a

ma

earn

on

her

investment

in

Venture

Index

Fund?

(perCent

interest

=c

›m‹ngsn n100)•A•B•.

7.7.If

1

_

n

_

1

00,

and

”'"

is

a

multiple

of

4

but

i1ot

a

i11ultiple

of

‹,

then

whiChof

the

following

CoUlJ

be

true?‹indicate

all

possible

values.‹A•n

iso

mu-peof3•n

isonn

u-peof

4•Ouai›tity

A•x.¿.•ouai›tity

B•A•Quantity

A

is

greater•B•Quantity

B

is

greater+C»The

hvo

quantities

are

equal+D•The

relationship

cannot

bedetermined

from

the

informationgiven+For

a

ce1ain

probability

experiment,

the

probability

that

event

A

will

occur

is

1/2

and

theprobability

that

event

B

will

occur

is1/3.

Which

of

the

following

values

could

be

the

probability

that

the

event

AuB

(that

is,

the

event

A

or

B,

or

both)

will

occur?+

Indicate

all

such

values.•A?>

ai1d

5

are

factors

of

x.•Column

A•The

ren›aii›dei-

\v

hei›

x

is

divided

fry10.Column

&6•••••A•The

quantity

in

Column

A

is

greater•B•The

quantity

in

Column

Bis

greater•C•The

Evo

quantities

are

equaI•D•The

relationship

cannot

bedetermined

from

the

informationgiven•j,

yandza

|eConsecut

|veeve(J

|ntegers.+Colun1n

A..X?•Colun1n

B•?7•••••AThe

quantity

inColumn

A

is

greater•BThe

quantity

inColumn

B

is

greater•The

two

quantities

are

equaI•DThe

relationship

cannot

bedetermined

from

the

informationgiven•If

"

²

'

'

"

'is

expi-essed

as

a

terminating

deCli11al,

l1o\v

n1a

i1y

i1onzei-o

digits›v

iII

tl1e

déCin1al

have?•AOne

•BTtvo+Four•DSiX=EEleveri•×

2J

'

×

49²

=

7'.

×30 ×

3If

one

number

is

chosen

at

random

from

the

first

1,000

positive

integers,

what

is

the

probability

that

the

number

chosen

is

a

multiple

of

both

2

and

8

?These

questions

refer

to

the

following

graph,

whiCh

is

drawn

to

sCale..‹?ASOLJI

JE

FJILE1‹>E

'3F

‹¿

AR

?.’

AUD

³.

IE

/

AT

Y'1EI?L³

S

SF'EEDSSpeed

in

fJiles

per

Hour

(mph)IfCar

X

is

drive

at

a

constai1t

syeed

SUCI1

that

its

gasoline

n1ileage

is

24

n1iles

pei-

galloi1,

then

tile

speed

of

Car

X,

tO

the

neai-est

i11ile

per

hour,

CoLild

be

•A•20

mph•B•22

mph‹C•29

mph•D•71

mph÷E•73

mph‹The

function

/

is

defined

by

¶‘°‘)=

3x-

—

x

+

5

numbers

x.•uai› A•I(4)•A•uai175‹Quantity

A

isgreater•Quantity

B

is

greater‹The

hvo

quantities

are

equaI+The

relationship

cannot

be

determined

from

the

informationIn

the

figure

above,

the

letters

L,

N,

and

N

denote

the

ai-eas

of

thesens

icii-cular

regions

whose

diameters

are

the

sides

of

the

ti-iangle,

as

shown.L

+

MWhat

is

the

value

of

NIn

the

figure

above,

the

width

of

the

larger

square

is

equal

to

the

diagonal

(not

shown)

of

the

smaller

square.

•Column

A•The

area

of

the

smaller

squaresColumn

B•'The

area

of

the

shaded

regionsThe

quantity

in

Column

A

is

greater+

+

The

quantity

in

Column

B

is

greater+

•

Thetwo

quantities

are

equals

uThe

relationship

cannot

be

•

determined

from

the

informationgivenWhiCh

of

the

following

ai-e

gi-eater

tl1an

1?-$FIC!IC6?€!

6!!

[JOSSI!9!

V6!U€!S.

÷A•4(3

+

0.

0

7)(1

1

.0929978

4

—0.

00831

01’A•Column

A•190

+

a•Column

B•The

quantity

in

Column

A

is

greater

The

quantity

in

Column

B

isgreater•

Th£?

t‹s•o

quantitle5

are

equaI•The

relationship

cannot

be

determined

from

the

information

given•Column

A.35,043

x

?

5,430•Column

B•35,430

×

?

5,

0é3•AThe

quantity

in

Column

A

is

greater‹BThe

quantity

in

Column

B

is

greater‹The

hvo

quantities

4re

equal•DThe

relationship

cannot

bedetermined

from

the

informationgiven•If

x,

y,

and

z

are

consecutive

even

integers,

such

that

x

<

y

<

z

and960,

what

is

the

value

of

z?•fic8cctionposnxvu

iaingn

u

obiaiocd

@

reversing

ia

digio.For

example,is

Ac

mflcctim

of

123

diBwmcc

bctwum

a

fivu-digit

intcgn

and

iaJI

x•..;;³.z•.

equals

the

pi-oJUCt

Of

1

54

ai1d

56,

z

>

y

>

x,

and

a

>

d

>

c,

then\v

hat

is

the

value

of

a'S

c"?•A+1,024•B+2,048•C•8,624•D•22,S28•E•It

cannot

be

determined

from

theinformation

given•in=

10*²

+

2•When

in

is

divided

by

11,

the

remainder

is

r.

+Ouai1tity

A•A•Ouai1tity

B•Quantity

A

is

greater‹Quantity

B

is

greater‹Thehvoquantities

are

equal+The

relationship

cannot

bedetermined

from

the

informationWhat

is

the

least

positive

integei-

that

is

not

a

factor

of

25!

Ancl

is

not

a

prins

enumhei-?•2288x

“’

+

12x

"’1@x”’

+

@x

“3x2xWhich

of

the

following

values

of

x

satisfy

tl›e

above

equntioi›?•A•If

7

is

a

fraCtioi›

between

—1

and

1,

whiCh

of

the

following

n›List

be

trLie?.A»B•f"

+

fi

<

I'

+

F+f'

<

f'•In

a

group

of

45

childi-en,

60

¶él-Cent

of

IIIA

Children

a

i-e

boys,

and

60pei-Cent

of

thC

Children

are

left-

l1nnded.•The

quantity

in

Column

A

is

greater•

The

quantity

in

Column

B

isgreater•

The

hvo

quantities

are

equal•The

relationship

cannot

be

determined

from

the

informationA•Column

B•The

leng