Brownstein S., et al. Barron''''s GRE.12th.ed.(Barrons)(669s)(1997) Episode 2 Part 11 ppsx

Model Test5 625 A if the quantity in Column A 1s greater; B if the quantity in Column B is greater; C if the two quantities are equal; D if the relationship cannot be determined from th

Model Test5 625

A if the quantity in Column A 1s greater;

B if the quantity in Column B is greater;

C if the two quantities are equal;

D if the relationship cannot be determined from the information given

Directions: Each of the Questions 16-30 has five answer choices For each of these questions, select the best of the

answer choices given

17 Points B and C lie on line AD so that AB = BC = (A) 7" (B) 15" (C) 15"

EE} CD What part of AD is AC?

(Az Bz OF OF OG

626 Model Test 5

20 By how much is 5 larger than 20 percent of 2? 22 How many times greater is the tax rate for schools

(C) 24 (D) 38 (E) 48

Questions 21-25 refer to the following table and graph

23 What is the annual tax paid for schools by a property

YOUR PROPERTY TAX BILL E| owner whose house has a taxable value of $10,000?

Water Supply 0.380 24 What part of the school budget 1s allocated for text-

35% + < œ x “ = 25 If the amount of money spent for maintenance of

| t9 ¢& > SG So r amount of money spent for miscellaneous school

21 What is the ratio of taxpayers’ money spent for

El teachers’ salaries to taxpayers’ money for the sal- 26 In the figure above, how many square units are there

aries of other school personnel? M} in the shaded triangle?

Model Test5 627

27 How many 3-gallon cans can be filled with the milk 29 How many ounces of water must be added to 48

M| from 165 one-pint containers? (2 pints = 1 quart; 4 Mj ounces of alcohol to make a solution that is 25%

M} the clock at half past six, expressed in degrees, is

AD =?

(B) 6 (C) 20 (D) 23

(E) none of these

S T O P

IF YOU FINISH BEFORE TIME IS CALLED, YOU MAY CHECK YOUR WORK ON THIS SECTION ONLY

DO NOT WORK ON ANY OTHER SECTION IN THE TEST

Mrs F, official hostess of New York City, has invited

several wives of delegates to the United Nations for an

informal luncheon She plans to seat her eleven guests

so that each lady will be able to converse with at least

the person directly to her right or left She has prepared

the following list

F speaks English only

G speaks English and French

H speaks English and Russian

J speaks Russian only

K speaks English only

L speaks French only

M speaks French and German

N speaks English and German

O speaks English and French

P speaks German and Russian

Q speaks French and German

R speaks English only

Which of the following arrangements will meet Mrs

F’s requirement?

I FOLMPJHKGQNR

Il FRNLPKHIGMQO Il] FRGJHOLMQPKN

(A) Tonly

(B) If only

(C) II only

(D) [and II only (E) I and III only

If the ladies seated to the right of Mrs P are, respec-

tively, MGHKFO, who must sit at Mrs P’s left

hand?

(A) J (B) L (C) N

(D) Q (E) R

If seven of the ladies have seated themselves in the

following order: NGFROMQ, who must be the next lady seated?

(A) H (B) J (C) K (D) L (E) P

ing requirements to be met?

I Seat Mrs J between Mrs K and Mrs G

II Seat Mrs J between Mrs Q and Mrs F

HI Seat Mrs J to the right of Mrs N (A) Ionly

(B) ill only

(C) Tor I only (D) THỊ or HI only (E) Neither I,II, not III

Senator Johnson: No argument for this bill is valid, because no one would argue for this bill without

having an ulterior motive: namely, the desire for per- sonal gain

The bill’s sponsors would be committing the same error In reasoning as Senator Johnson if they

responded by saying:

(A) Of course we have ulterior motives It is per-

fectly reasonable to support a bill in order to promote our personal interests

(B) The fact that passing a bill would benefit its

sponsors does not mean that the bill should not be passed

(C) The fact that Senator Johnson has substituted a

personal attack for a discussion of the merits

of the bill leads us to suspect that he can offer

no strong arguments against it

(D) Senator Johnson has no valid reason for oppos-

ing our bill; he is doing so only because we

helped defeat his pork-barrelling bill last month

(E) Everyone is always motivated in part by a desire

for personal gain; Senator Johnson is no

exception.

Father: My daughter could be a star on Broadway if

she could only get one big break Why, you should

see the rave reviews she received when she was the

lead in her high school play

=)

The best way to counter the argument above would

be to point out that

(A) big breaks are hard to come by on Broadway

(B) one big break does not ensure continued success

in the theater (C) the standards on Broadway are much higher

than they are at the high school level (D) fewer plays are being produced on Broadway

today than in the past (E) relatively few aspiring actors ever become

Broadway stars

—¬ Most persons who oppose gun control are conserva-

M| tives; therefore, since Kathleen favors gun control,

she is probably not a conservative

(A) Most sociology professors are liberals; therefore

Dr Williams, who is a liberal, is probably a sociology professor

(B) Most corporation presidents own country homes;

if Ms Steeples is a corporation president, she may or may not have a country home

(C) Few major publishing firms publish much

poetry; since Flame Press publishes only

poetry, it is probably not a major publishing

firm

(D) Most sports cars are extremely expensive; since

the new Venus Leopard is not a sports car, it

is probably inexpensive

(E) Most desert plants are cacti; therefore the

cholla, a desert plant, is probably a cactus

Questions 8-11

The Homer Museum of American Art is open daily

except Monday from 11 A.M to 5 p.m Tuesdays and

Thursdays the museum remains open until 8 p.M The

spring special exhibitions are: “Albert Pinkham Ryder,

A Retrospective;’ which is on view from Friday, April

24, through Sunday, May 31, in the Pollock Wing; “Pre-

cursors of Thomas Eakins,” from Friday, May 8,

through Sunday, July 6, in the Third Floor Gallery; and

“The Hudson River School,” in the John Twachtman

Gallery, which is closed Tuesdays, from Friday, May 1,

through Sunday, May 24 only The Pollock wing is

closed Thursdays during May

special exhibition in a day, he can see all three spe-

cial exhibitions in the briefest time by starting with

(A) “The Hudson River School” on a Thursday

(B) the Ryder Retrospective on a Saturday

(C) “Precursors of Eakins” or the Ryder Retrospec-

tive on a Tuesday

(D) “Precursors of Eakins” on a Thursday

(E) any exhibition on a Saturday

Ellen wishes to visit the three special exhibitions on successive Thursdays This is possible only if she

visits

I the Ryder Retrospective in April

II “The Hudson River School” second III “Precursors of Eakins” immediately following

the Ryder Retrospective

(A) IT only

(B) II only

(C) I and II only

(D) II and III only

(E) I, Il, and Ill

Ralph can visit all three special exhibitions on one day if he goes on

I any Saturday in May

II the second, third, or fourth Saturday in May III any Tuesday or Friday between May 5 and May

22

(A) I only

(B) II only

(C) III only (D) I and III only (E) II and III only

Terry visits the museum on an afternoon six days

after the opening of “The Hudson River School.”

Which of the special exhibitions may he visit?

I The Ryder Retrospective

IJ “Precursors of Eakins”

Il ‘The Hudson River School”

(A) I only

(B) III only

(C) Land II only (D) II and III only (E) I, Il, and III

630 Model Test 5

Questions 12—18

At a symposium on the possible dangers of the industrial

chemical PBX, three pro-industry spokespersons are to

be seated to the left of the moderator and three critics of

PBX to the right of the moderator The speakers are Drs

Albert, Burris, Cathode, Durand, Ettis, and Felsenstein

(1) The person delivering the paper “Epidemiological

Aspects of PBX” is seated immediately

between Dr Albert and Dr Durand

(2) The persons delivering “Public Health and PBX”

and “Radiological Aspects of PBX” are close

friends and insist on sitting together

(3) Felsenstein is placed two seats to the left of the

moderator

(4) As heavy smoking is repugnant to the moderator,

she insists that the person delivering “PBX:

Benign or Malignant,” a heavy smoker, be

seated at one end of the table

(5) Cathode, delivering ““The Impact of PBX on the

Environment,” is seated to the left of Felsenstein

(6) Albert, a critic of PBX, is seated to the left of

EttIs

12 The pro-industry spokespersons are

MÍ (A) Albert, Felsinstein, Durand

(B) Felsenstein, Burris, Albert

(C) Cathode, Felsenstein, Ettis

(D) Albert, Burris, Durand

(E) Cathode, Felsenstein, Burris

13 The person seated immediately to the left of the

14 Assuming it is one of the papers delivered at the

M| symposium, “PBX and the Digestive Tract” must be

15 Given the seating rules as stated, which of the num-

M| bered statements are logically sufficient to establish

the position of Dr Ettis and the title of the paper she

(C) The eighth speaker must be seated on the same

side of the moderator as Felsenstein

(D) The moderator must be seated next to the author

of “Public Health and PBX.”

(E) The eighth speaker must be seated immediately

to the left of Ettis

° Which of the following cannot be determined on the

H| basis of the information given?

I The author of “Public Health and PBX”

H The title of the paper delivered by Durand

II The identity of the two friends who insist on

E is the same sex as D

B and C have two children: F, who is the same sex as B, and G, who is the same sex as C

E’s mother, H, who is married to L, is the sister of D’s

mother, M

E and E’s spouse, I, have two children, J and K, who are the same sex as I

No persons have married more than once, and no chil-

dren have been born out of wedlock The only restric-

tions on marriage are that marriage to a sibling, to a

direct descendant, to a person of the same sex, or to

more than one person at the same time is forbidden

19 Fis

M (A) G’s brother

(B) G’s sister

(C) B’s daughter (D) D’s niece or nephew

(E) the same sex as H

20 According to the rules, D can marry

(D) Tor ÍI, but not both

(E) If or III, but not both

If the generation of F and K’s parents and their sib-

lings contains more females than males, which of the

following must be true?

(A) There are more females than males in F and K’s

generation

(B) J is male

(C) Ais the same sex as D

(D) K and G are the same sex

(E) D is H’s nephew

Questions 23-25

The internal combustion engine, which powers all pri-

vate motorized vehicles, should be banned It burns up

petroleum products that are needed to produce plastics,

synthetics, and many medicines Once all the oil is

gone, we will no longer be able to produce these valua-

ble commodities Yet we do not have to burn gasoline to

Satisfy our transportation needs Other kinds of engines

could be developed if the oil companies would stop

blocking research efforts

II Alternative methods of producing plastics will

not be found before the oil runs out

III If they so desired, the oil companies could

develop methods of transporation not based on the burning of petroleum

(A) I only

(B) II only

(C) Land II only (D) IL and III only (E) I, II and III

The argument above would be most weakened by the development of which of the following?

(A) An internal combustion engine that operated on

one-tenth the gasoline used in a normal engine

(B) A car that operated on solar energy stored In

The argument above would be most strengthened if

which of the following were true?

(A) One of the oil companies has suppressed the

discovery of an engine that burns only

alcohol

(B) Some of the medicines that require petroleum

for their production help to control and cure several of the world’s most deadly diseases

(C) The world’s current oil reserves are about half

of what they were 30 years ago

(D) In high-pollution areas, automobile exhaust

fumes have been shown to cause high rates of

lung cancer and heart disease

(E) When gasoline is burned inside an auto engine,

less than one-fourth of the energy produced is used to propel the vehicie

S T O P

IF YOU FINISH BEFORE TIME IS CALLED, YOU MAY CHECK YOUR WORK ON THIS SECTION ONLY

DO NOT WORK ON ANY OTHER SECTION IN THE TEST

632 Model Test5

Numbers:

Figures:

SECTION 4 Time—30 Minutes

30 Questions

All numbers used are real numbers

Position of points, angles, regions, etc., can be assumed to be in the order shown; and angle measures

can be assumed to be positive

Lines shown as straight can be assumed to be straight

Figures can be assumed to lie in a plane unless otherwise indicated

Figures that accompany questions are intended to provide information useful in answering the questions

However, unless a note states that a figure is drawn to scale, you should solve these problems NOT by estimating sizes by sight or by measurement, but by using your knowledge of mathematics (see Example

2 below)

Directions: Each of the Questions 1-15 consists of two quantities, one in Column A and one in Column B You are to

compare the two quantities and choose

A if the quantity in Column A is greater;

B if the quantity in Column B is greater;

C if the two quantities are equal;

D if the relationship cannot be determined from the information given

Information: Ina question, information concerning one or both of the quantities to be compared is centered above the

two columns A symbol that appears in both columns represents the same thing in Column A as it does

(since equal measures cannot

be assumed, even though PN

and NQ appear equal)

A if the quantity in Column A is greater;

B if the quantity in Column B is greater;

C if the two quantities are equal;

3 The number of integers The number of integers

from —5 to 5 inclusive from 5 to 15 inclusive

Area of right triangle ABC

equals area of square DEFG

12 The time required to The time required to

cover 3 mile traveling cover 3 mile traveling

at 30 miles per hour | fy

13 The number of revolu- The number of revolu-

tions made by the tions made by the wheel of a bicycle wheel of a motorcycle (diameter of + feet) (diameter of + feet)

covering a distance of covering a distance of

634 Model Test 5

Directions: Each of the Questions 16—30 has five answer choices For each of these questions, select the best of the

16 Potassium nitrate is composed of 39 parts potas- 20 Which of the following numbers does not have a

E| sium, 14 parts nitrogen, and 48 parts oxygen Find E| reciprocal?

the percentage (to the nearest %) of potassium in (A) 1

E| is wide The number of feet of fencing needed to

enclose the field is

(C) 400

(D) 500 NUTRITIONAL VALUE OF SOME

A SIZE IZE OF PORTION P RIES Grams) grams

Cheese, American or 1” cube or med slice

18 Inthe triangle above, BC equals one half of AB The Buter | tablespoon (⁄20z.) 100 -

E| area of right triangle ABC equals 64 square feet To ¬ ae — small pat s0 |

the nearest foot, what is the length of hypotenuse AC? Cream heavy, poem ng

21 How many tablespoons of light cream have the same

E| number of calories as 8 ounces of buttermilk?

(A) 2 (B) 3 (C) 4

19 In the figure above, if x = ky, and k is a constant, (D) 5

E| what is the missing value of y in the table? (E) 6

E| in the amount needed to furnish the same number of

(B) 1 grams of protein as there are in 4 ounces of choco-

23 Which of the following has the greatest number of

E calories per pound?

(E) Chocolate milk

Which of the following has the smallest number of

calories per ounce?

(A) Cottage cheese

(B) Cheddar-type cheese

(C) Swiss cheese

(D) Butter

(E) Whole milk

Which of the following furnishes the greatest num-

given in a recipe, are | egg, 2 Cup shortening, 3

cup sugar, Ì teaspoon flavoring, l5 cup sifted

flour How much flour would be needed in order

II The positve square root of a number is small-

er than the number

II A binomial multiplied by a binomial yields a

trinomial

(A) I only

(B) II only

(C) III only (D) II and III only

(E) all are true

a-b_ 4

then 3.5 7

(A) b<a (B) b>a (C) b=a (D) bZa (E) bSa

10° means the 10 is to be used as a factor x times,

and 10 means 10": A very large or very small

number, therefore, is frequently written as a deci-

mal multipled by 10*, where x is a postive or a negative integer Which, if any, of the following is false?

IF YOU FINISH BEFORE TIME IS CALLED, YOU MAY CHECK YOUR WORK ON THIS SECTION ONLY

DO NOT WORK ON ANY OTHER SECTION IN THE TEST

636 Model Test 5

SECTION 5

Time—30 Minutes

30 Questions

Numbers: All numbers used are real numbers

Figures: Position of points, angles, regions, etc., can be assumed to be in the order shown; and angle measures

can be assumed to be positive

Lines shown as straight can be assumed to be straight

Figures can be assumed to lie in a plane unless otherwise indicated

Figures that accompany questions are intended to provide information useful in answering the questions However, unless a note states that a figure is drawn to scale, you should solve these problems NOT by estimating sizes by sight or by measurement, but by using your knowledge of mathematics (see Example

2 below)

Directions: Each of the Questions 1-15 consists of two quantities, one in Column A and one in Column B You are to

compare the two quantities and choose

A if the quantity in Column A is greater;

B if the quantity in Column B 1s greater;

C if the two quantities are equal;

D if the relationship cannot be determined from the information given

Note: Since there are only four choices, NEVER MARK (EB)

Common

Information: Ina question, information concerning one or both of the quantities to be compared is centered above the

two columns A symbol that appears in both columns represents the same thing in Column A as it does

(since equal measures cannot

be assumed, even though PN and NQ appear equal)

A if the quantity in Column A is greater;

B if the quantity in Column B is greater;

C if the two quantities are equal;

D if the relationship cannot be determined from the information given

4 of these silver coins

1 of these gold coins [fF

10 Circumference of Twice the circumfer-

14 The area of the lot on 200,000 square feet

the corner of Chester

Street and Newport

A 41 5-foot string is to be cut into 6 approximately

equal lengths The average length of each piece will

A Shirt marked $12.50 was sold for $10.00 The rate

of discount on the marked price was

q is the smallest of nine consecutive integers

15 The average of these

Directions: Each of Questions 16—30 has five answer choices For each of these questions, select the best of the answer

20 What is a percent of b divided by b percent of a?

E} (A) a

(B) b

(C) 1

(D) 10 (E) 100

BASED ON SEASONALLY ADJUSTED NONAGRICULTURAL PAYROLLS

(Figures represent millions of jobs.)

BASED ON SEASONALLY ADJUSTED NONAGRICULTURAL PAYROLLS

(Figures represent millions of jobs )

In April 1992 the Labor Department reported that

the unemployment rate for the previous month re-

mained at a seven-year high What was the unem-

ployment rate for March 1992?

According to the Bureau of Labor Statistics, which

of the following months showed the healthiest state

For the 1990-1992 period what was the maximum

number of jobs (in millions) held during any one

particular month, as reported by the Bureau of

When the two graphs are compared, which state-

ment best describes their general trends?

(A) As one rises, the other also rises

(B) As one rises, the other falls

(C) They remain parallel

(D) As one falls, the other also falls

(E) None of the above

How many gallons of paint should be purchased to

cover 760 square feet if a gallon will cover 200

Which of the following fractions is next smaller in

value than one-half?

(A) =

(B) 2

(C) £ (D) 32

(E) rò

Acar uses a gallon of gasoline in traveling 15 miles Another automobile can travel m miles on a gallon of gasoline How many miles can the sec- ond travel on the amount of gasoline required by the first car in going 60 miles?

m

(A) 3

(B) m (C) 4m

angle of 60° If the cow is tethered by a 10-foot-

long rope to the post at which the two fences meet, it can graze in an area of

A certain recipe makes enough dough to fill two

cake tins, each 7 inches in diameter and 1 inch deep How many inches deep will the cake dough

be if put into one cake tin 10 inches in diameter?

(A) 0.51 (B) 0.71 (C) 0.98 (D) 1.02 (E) 1.40

Ss T O P

IF YOU FINISH BEFORE TIME IS CALLED, YOU MAY CHECK YOUR WORK ON THIS SECTION ONLY

DO NOT WORK ON ANY OTHER SECTION IN THE TEST