SECTION 1 Time -30 minutes
38 Questions
1.A computer program can provide information in ways
that force students to —— learning instead of being
merely —— of knowledge.
(A) shore up …… reservoirs
(B) accede to …… consumers
(C) participate in …… recipients
(D) compensate for…… custodians
(E) profit from …… beneficiaries
2. The form and physiology of leaves vary according to
the —— in which they develop： for example， leaves
display a wide range of adaptations to different
degrees of light and moisture.
(A) relationship
(B) species
(C) sequence
(D) patterns
(E) environment
3. One theory about intelligence sees —— as the
logical structure underlying thinking and insists that
since animals are mute， they must be —— as well.
(A) behavior…… inactive
(B) instinct…… cooperative
(C) heredity…… thoughtful
(D) adaptation…… brutal
(E) language…… mindless
4. Though —— in her personal life， Edna St. Vincent
Millay was nonetheless —— about her work， usually
producing several pages of complicated rhyme in a
day.
(A) jaded…… feckless
(B) verbose…… ascetic
(C) vain…… humble
(D) impulsive…… disciplined
(E) self-assured…… sanguine
5. The children's —— natures were in sharp contrast
to the even-tempered dispositions of their parents.
(A) mercurial
(B) blithe
(C) phlegmatic
(D) introverted
(E) artless
6. By —— scientific rigor with a quantitative approach，
researchers in the social sciences may often have ——
their scope to those narrowly circumscribed topics that
are well suited to quantitative methods.
(A) undermining…… diminished
(B) equating…… enlarged
(C) vitiating…… expanded
(D) identifying…… limited
(E) imbuing…… broadened
7. As early as the seventeenth century， philosophers
called attention to the —— character of the issue，
and their twentieth-century counterparts still approach
it with ——。
(A) absorbing…… indifference
(B) unusual…… composure
(C) complex…… antipathy
(D) auspicious…… caution
(E) problematic…… uneasiness
8. TRIPOD： CAMERA：：
(A) scaffolding： ceiling
(B) prop： set
(C) easel： canvas
(D) projector： film
(E) frame： photograph
9. AQUATIC： WATER：：
(A) cumulus： clouds
(B) inorganic： elements
(C) variegated： leaves
(D) rural： soil
(E) arboreal： trees
10. EMOLLIENT： SUPPLENESS：：
(A) unguent： elasticity
(B) precipitant： absorption
(C) additive： fusion
(D) desiccant： dryness
(E) retardant： permeability
11. DRAW： DOODLE：：
(A) talk： whisper
(B) travel： ramble
(C) run： walk
(D) calculate： add
(E) eat： gobble
12. CONSPICUOUS： SEE：
(A) repulsive： forget
(B) prohibited： discount
(C) deceptive： delude
(D) impetuous： disregard
(E) transparent： understand
13. IMMATURE： DEVELOPED：：
(A) accessible： exposed
(B) theoretical： conceived
(C) tangible： identified
(D) irregular： classified
(E) incipient： realized
14. PERSPICACITY： ACUTE：：
(A) adaptability： prescient
(B) decorum： complacent
(C) caprice： whimsical
(D) discretion： literal
(E) ignorance： pedantic
15. PLAYFUL： BANTER：：
(A) animated： originality
(B) exaggerated： hyperbole
(C) insidious： effrontery
(D) pompous： irrationality
(E) taciturn： solemnity
16. QUARANTINE： CONTAGION：：
(A) blockage： obstacle
(B) strike： concession
(C) embargo： commerce
(D) vaccination： inoculation
(E) prison： reform
Influenced by the view of some twentieth-century
feminists that women's position within the family is
one of the central factors determining women's social
position， some historians have underestimated the signi-
(5) ficance of the woman suffrage movement. These histor-
ians contend that nineteenth-century suffragism was less
radical and， hence， less important than， for example， the
moral reform movement or domestic feminism-two
nineteenth-century movements in which women strug-
(10)gled for more power and autonomy within the family.
True， by emphasizing these struggles， such historians
have broadened the conventional view of nineteenth-
century feminism， but they do a historical disservice to
suffragism. Nineteenth-century feminists and anti-
(15)feminist alike perceived the suffragists' demand for
enfranchisement as the most radical element in women's
protest， in part because suffragists were demanding
power that was not based on the institution of the
family， women's traditional sphere. When evaluating
(20)nineteenth-century feminism as a social force， contem-
porary historians should consider the perceptions of
actual participants in the historical events.
17.The author asserts that the historians discussed in
the passage have
(A) influenced feminist theorists who concentrate on
the family
(B) honored the perceptions of the women who
participated in the women suffrage movement
(C) treated feminism as a social force rather than as
an intellectual tradition
(D) paid little attention to feminist movements
(E) expanded the conventional view of nineteenth-
century feminism
18.The author of the passage asserts that some
twentieth-century feminists have influenced some
historians view of the
(A) significance of the woman suffrage movement
(B) importance to society of the family as an
institution
(C) degree to which feminism changed nineteenth-
century society
(D) philosophical traditions on which contemporary
feminism is based
(E) public response to domestic feminism in the
nineteenth century
19.The author of the passage suggests that which of the
following was true of nineteenth-century feminists?
(A) Those who participated in the moral reform
movement were motivated primarily by a
desire to reconcile their private lives with their
public positions.
(B) Those who advocated domestic feminism，
although less visible than the suffragists， were
in some ways the more radical of the two
groups.
(C) Those who participated in the woman suffrage
movement sought social roles for women that
were not defined by women's familial roles.
(D) Those who advocated domestic feminism
regarded the gaining of more autonomy within
the family as a step toward more participation
in public life.
(E) Those who participated in the nineteenth-
century moral reform movement stood midway
between the positions of domestic feminism
and suffragism.
20.The author implies that which of the following is
true of the historians discussed in the passage?
(A) They argue that nineteenth-century feminism
was not as significant a social force as
twentieth-century feminism has been.
(B) They rely too greatly on the perceptions of the
actual participants in the events they study.
(C)Their assessment of the relative success of
nineteenth-century domestic feminism does
not adequately take into account the effects of
antifeminist rhetoric.
(D)Their assessment of the significance of
nineteenth-century suffragism differs
considerably from that of nineteenth-century
feminists.
(E) They devote too much attention to nineteenth-
century suffragism at the expense of more
radical movements that emerged shortly after
the turn of the century.
Many objects in daily use have clearly been influenced
by science， but their form and function， their dimensions
and appearance， were determined by technologists
artisans， designers， inventors， and engineers——using non-
(5) scientific modes of thought. Many features and qualities
of the objects that a technologist thinks about cannot be
reduced to unambiguous verbal descriptions; they are
dealt with in the mind by a visual， nonverbal process. In
the development of Western technology， it has been non-
(10)verbal thinking， by and large， that has fixed the outlines
and filled in the details of our material surroundings.
Pyramids， cathedrals， and rockets exist not because of
geometry or thermodynamics， but because they were first
a picture in the minds of those who built them.
(15) The creative shaping process of a technologist's mind
can be seen in nearly every artifact that exists. For exam-
ple， in designing a diesel engine， a technologist might
impress individual ways of nonverbal thinking on the
machine by continually using an intuitive sense of right-
(20)ness and fitness. What would be the shape of the com-
bustion chamber? Where should the valves be placed?
Should it have a long or short piston? Such questions
have a range of answers that are supplied by experience，
by physical requirements， by limitations of available
(25)space， and not least by a sense of form. Some decisions，
such as wall thickness and pin diameter， may depend on
scientific calculations， but the nonscientific component
of design remains primary.
Design courses， then， should be an essential element
(30)in engineering curricula. Nonverbal thinking， a central
mechanism in engineering design， involves perceptions，
the stock-in-trade of the artist， not the scientist. Because
perceptive processes are not assumed to entail “hard
thinking，“ nonverbal thought is sometimes seen as a prim-
(35)itive stage in the development of cognitive processes and
inferior to verbal or mathematical thought. But it is para-
doxical that when the staff of the Historic American
Engineering Record wished to have drawings made of
machines and isometric views of industrial processes for
(40)its historical record of American engineering， the only
college students with the requisite abilities were not engi-
neering students， but rather students attending architec-
tural schools.
It courses in design， which in a strongly analytical
(45)engineering curriculum provide the background required
for practical problem- solving， are not provided， we can
expect to encounter silly but costly errors occurring in
advanced engineering systems. For example， early models
of high-speed railroad cars loaded with sophisticated
(50)controls were unable to operate in a snowstorm because
a fan sucked snow into the electrical system. Absurd ran-
dom failures that plague automatic control systems are
not merely trivial aberrations; they are a reflection of the
chaos that results when design is assumed to be primarily
a problem in mathematics.
21.In the passage， the author is primarily concerned
with
(A) identifying the kinds of thinking that are used
by technologists
(B) stressing the importance of nonverbal thinking
in engineering design
(C) proposing a new role for nonscientific thinking
in the development of technology
(D) contrasting the goals of engineers with those of
technologists
(E) criticizing engineering schools for emphasizing
science in engineering curricula
22.It can be inferred that the author thinks engineering
curricula are
(A) strengthened when they include courses in
design
(B) weakened by the substitution of physical
science courses for courses designed to
develop mathematical skills
(C) strong because nonverbal thinking is still
emphasized by most of the courses
(D) strong despite the errors that graduates of such
curricula have made in the development of
automatic control systems
(E) strong despite the absence of nonscientific
modes of thinking
23.Which of the following statements best illustrates
the main point of lines 1-28 of the passage?
(A) When a machine like a rotary engine mal-
functions， it is the technologist who is best
equipped to repair it.
(B) Each component of an automobile-for
example， the engine or the fuel tank-has a
shape that has been scientifically determined
to be best suited to that component's function
(C) A telephone is a complex instrument designed
by technologists using only nonverbal thought
(D) The designer of a new refrigerator should
consider the designs of other refrigerators
before deciding on its final form.
(E) The distinctive features of a suspension bridge
reflect its designer's conceptualization as well
as the physical requirements of its site.
24.Which of the following statements would best serve
as an introduction to the passage?
(A) The assumption that the knowledge incorpor-
ated in technological developments must be
derived from science ignores the many non-
scientific decisions made by technologists.
(B) Analytical thought is no longer a vital com-
ponent in the success of technological
development.
(C) As knowledge of technology has increased， the
tendency has been to lose sight of the impor-
tant role played by scientific thought in
making decisions about form， arrangement，
and texture.
(D) A movement in engineering colleges toward
a technician's degree reflects a demand for
graduates who have the nonverbal reasoning
ability that was once common among engineers.
(E) A technologist thinking about a machine，
reasoning through the successive steps in a
dynamic process， can actually turn the
machine over mentally.
25.The author calls the predicament faced by the
Historic American Engineering Record “para-
doxical“ (lines 36-37) most probably because
(A) the publication needed drawings that its own
staff could not make
(B) architectural schools offered but did not require
engineering design courses for their students
(C) college students were qualified to make the
drawings while practicing engineers were not
(D) the drawings needed were so complicated that
even students in architectural schools had
difficulty making them.
(E) engineering students were not trained to make
the type of drawings needed to record the
development of their own discipline
26.According to the passage， random failures in
automatic control systems are “not merely trivial
aberrations“ (lines53) because
(A) automatic control systems are designed by
engineers who have little practical experience
in the field
(B) the failures are characteristic of systems
designed by engineers relying too heavily on
concepts in mathematics
(C) the failures occur too often to be taken lightly
(D) designers of automatic control systems have too
little training in the analysis of mechanical
difficulties
(E) designers of automatic control systems need
more help from scientists who have a better
understanding of the analytical problems to be
solved before such systems can work efficiently
27.The author uses the example of the early models of
high-speed railroad cars primarily to
(A) weaken the argument that modern engineering
systems have major defects because of an
absence of design courses in engineering
curricula
(B) support the thesis that the number of errors in
modern engineering systems is likely to
increase
(C) illustrate the idea that courses in design are the
most effective means for reducing the cost of
designing engineering systems
(D) support the contention that a lack of attention to
the nonscientific aspects of design results in
poor conceptualization by engineers
(E) weaken the proposition that mathematics is a
necessary part of the study of design
28.IGNITE：
(A) amplify
(B) douse
(C) obscure
(D) blemish
(E) replicate
29.MUTATE：
(A) recede
(B) grow larger
(C) link together
(D) remain the same
(E) decrease in speed
24.Which of the following statements would best serve
as an introduction to the passage?
(A) The assumption that the knowledge incorpor-
ated in technological developments must be
derived from science ignores the many non-
scientific decisions made by technologists.
(B) Analytical thought is no longer a vital com-
ponent in the success of technological
development.
(C) As knowledge of technology has increased， the
tendency has been to lose sight of the impor-
tant role played by scientific thought in
making decisions about form， arrangement，
and texture.
(D) A movement in engineering colleges toward
a technician's degree reflects a demand for
graduates who have the nonverbal reasoning
ability that was once common among engineers.
(E) A technologist thinking about a machine，
reasoning through the successive steps in a
dynamic process， can actually turn the
machine over mentally.
25.The author calls the predicament faced by the
Historic American Engineering Record “para-
doxical“ (lines 36-37) most probably because
(A) the publication needed drawings that its own
staff could not make
(B) architectural schools offered but did not require
engineering design courses for their students
(C) college students were qualified to make the
drawings while practicing engineers were not
(D) the drawings needed were so complicated that
even students in architectural schools had
difficulty making them.
(E) engineering students were not trained to make
the type of drawings needed to record the
development of their own discipline
26.According to the passage， random failures in
automatic control systems are “not merely trivial
aberrations“ (lines53) because
(A) automatic control systems are designed by
engineers who have little practical experience
in the field
(B) the failures are characteristic of systems
designed by engineers relying too heavily on
concepts in mathematics
(C) the failures occur too often to be taken lightly
(D) designers of automatic control systems have too
little training in the analysis of mechanical
difficulties
(E) designers of automatic control systems need
more help from scientists who have a better
understanding of the analytical problems to be
solved before such systems can work efficiently
27.The author uses the example of the early models of
high-speed railroad cars primarily to
(A) weaken the argument that modern engineering
systems have major defects because of an
absence of design courses in engineering
curricula
(B) support the thesis that the number of errors in
modern engineering systems is likely to
increase
(C) illustrate the idea that courses in design are the
most effective means for reducing the cost of
designing engineering systems
(D) support the contention that a lack of attention to
the nonscientific aspects of design results in
poor conceptualization by engineers
(E) weaken the proposition that mathematics is a
necessary part of the study of design
28.IGNITE：
(A) amplify
(B) douse
(C) obscure
(D) blemish
(E) replicate
29.MUTATE：
(A) recede
(B) grow larger
(C) link together
(D) remain the same
(E) decrease in speed
30.FRAGMENT： (A) ensue
(B) revive
(C) coalesce
(D) balance
(E) accommodate
31.OSTENSIBLE：
(A) gargantuan
(B) inauspicious
(C) intermittent
(D) perpetual
(E) inapparent
32.PROLIXITY：
(A) ceremoniousness
(B) flamboyance
(C) succinctness
(D) inventiveness
(E) lamentation
33.CONCERTED：
(A) meant to obstruct
(B) not intended to last
(C) enthusiastically supported
(D) run by volunteers
(E) individually devised
34.FORBEARANCE：
(A) fragility
(B) impatience
(C) freedom
(D) nervousness
(E) tactlessness
35.COSSETED：
(A) unspoiled
(B) irrepressible
(C) serviceable
(D) prone to change
(E) free from prejudice
36.PROBITY：
(A) timidity
(B) sagacity
(C) impertinence
(D) uncertainty
(E) unscrupulousness
37.ESCHEW：
(A) habitually indulge in
(B) take without authorization
(C) leave unsaid
(D) boast about
(E) handle carefully
38.REDOUBTABLE：
(A) trustworthy
(B) unschooled
(C) credulous
(D) not formidable
(E) not certain 1.Which of the following is an order in which the six
magazines can be arranged， from position 1 through
position 6?
(A) M， O， P， S， V， T
(B) P， O， S， M， V， T
(C) P， V， T， O， M， S
(D) P， V， T， S， O， M
(E) T， P， V， M， O， S
2.If P occupies position 3， which of the following must
be true?
(A) M occupies position 4.
(B) O occupies position 2.
(C) S occupies position 5.
(D) T occupies position 6.
(E) V occupies position 2.
3.If O and T， not necessarily in that order， occupy
consecutively numbered positions， then T can be in
position
(A) 1
(B) 2
(C) 4
(D) 5
(E) 6
4.Which of the following can be true?
(A) M occupies position 4 and P occupies position 5.
(B) P occupies position 4 and V occupies position 5.
(C) S occupies position 2 and P occupies position 3.
(D) P occupies position 2.
(E) S occupies position 5.
5. If V occupies position 4， then T must occupy the
position that is numbered exactly one lower than the
position occupied by
(A) M (B) O (C) P
(D) S (E) V
6.If S and V， not necessarily in that order， occupy
consecutively numbered positions， which of the
following must be true?
(A) M occupies position 4.
(B) O occupies position 2.
(C) P occupies position 1.
(D) S occupies position 6.
(E) T occupies position 6.
7. Patel： Although enrollment in the region's high
school has been decreasing for several
years， enrollment at the elementary school
has grown considerably. Therefore， the
regional school board proposes building a
new elementary school.
Quintero： Another solution would be to convert some
high school classrooms temporarily into
classrooms for elementary school students.
Which of the following， if true， most helps to support
Quintero's alternative proposal?
(A) Some rooms at the high school cannot be con-
verted into rooms suitable for the use of ele-
mentary school students.
(B) The cost of building a high school is higher than
the cost of building an elementary school.
(C) Although the birth rate has not increased， the
number of families sending their children to
the region's high school has increased markedly.
(D) A high school atmosphere could jeopardize the
safety and self-confidence of elementary school
students.
(E) Even before the region's high school population
began to decrease， several high school class-
rooms rarely needed to be used.
Question 8 is based on the following graph
8.Which of the following， if true， most helps explain
the difference in the rates of decline between 1980
and 1990 in population of puffins and arctic terns，
two kinds of seabirds for which sand eels serve as a
primary source of food?
(A) Puffins switched in part from their preferred food
of sand eels to rockfish and other fish， but arctic
terns did not.
(B) The marked decline in the populations of puffins
and arctic terns that occurred on Alair Island
did not occur on other similar islands nearby，
where there are substantial populations of both
species.
(C) The decline in sand eels was due to changes in
environmental conditions that affected the
reproduction of eels rather than to overfishing
by people.
(D)The main diet of puffin and arctic tern chicks on
Alair Island in 1980 consisted of young sand
eels.
(E) Unusual severe weather that disrupted the breed-
ing cycle of the sand eels of Alair Island in
1989 also damaged the nests of puffins but not
those of arctic terns.
9. Peter： More than ever before in Risland， college graduates with
science degrees are accepting permanent jobs in other
fields. That just goes to show that scientists in Risland are
not being paid enough.
Lila： No， it does not. These graduates are not working in science
for the simple reason that there are not enough jobs in science in
Risland to employ all of these graduates.
Which of the following， if true in Risland， would most undermine
the reasoning in Peter's argument?
(A) The college graduates with science degrees who are not work-
ing in science are currently earning lower salaries than they
would earn as scientists.
(B) Fewer college students than ever before are receiving degrees
in science.
(C) The number of jobs in science has steadily risen in the last
decade.
(D) A significant number of college graduates with science degrees
worked at low-paying jobs while they were in college.
(E) Every year some recent college graduates with science degrees
accept permanent jobs in nonscientific fields.
Questions 10-15
Exactly six lectures will be given one at a time at a one-
day conference. Two of the lectures-S and T-will be
given by resident speakers， the other four-W， X， Y， and
Z-will be given by visiting speakers. At least two but
no more than four of the lectures will be given before
lunch; the remaining lectures will be given after lunch.
The following conditions must be observed：
S will be the fourth lecture.
Exactly one of the lectures by a resident will be given
before lunch.
Y will be given at some time before T is given.
If W is given before lunch， Y will be given after lunch.
10.Which of the following can be the order of lectures
and lunch at the conference?
(A) W， X， Lunch， Y， S， T， Z
(B) X， Y， T， Lunch， S， Z， W
(C) Y， T， Lunch， S， W， X， Z
(D) Z， T， W， S， Lunch， Y， X
(E) Z， W， Y， S， Lunch， X， T
11.If exactly two lectures are given before lunch， they
must be
(A) X and T
(B) Y and T
(C) Z and T
(D) Z and W
(E) Z and Y
12.If exactly three lectures， including Y and Z， are given
before lunch， which of the following can be true?
(A) T is the second lecture.
(B) T is the fifth lecture.
(C) W is the third lecture.
(D) X is the first lecture.
(E) X is the third lecture.
13.If T is the sixth lecture， which of the following must
be true?
(A) X is the first lecture.
(B) X is the second lecture.
(C) Exactly two lectures are given before lunch.
(D) Exactly three lectures are given before lunch.
(E) Exactly four lectures are given before lunch.
14.If S and Z are both given after lunch， which of the
following must be true?
(A) X is given before lunch.
(B) X is given after lunch.
(C) Y is given before lunch.
(D) T is the third lecture.
(E) Z is the fifth lecture.
15.Which of the following lectures CANNOT be given
immediately before lunch?
(A) S
(B) T
(C) X
(D) Y
(E) Z
Questions 16-22
A circus has seven fenced enclosures， numbered 1 through
7， for two animals： a lion and a tiger. Each enclosure is
connected to adjacent enclosures by interior gates. There
are exactly eight such gates， each connecting one enclosure to exactly one other enclosure： enclosure 1 is connected to enclosures 2， 3 and 4; enclosure 3 to enclosures 1， 2， 4， and 5; and enclosure 5 to enclosures 3， 6， and 7. These gates provide the only connections between enclosures. Occasionally a trainer moves the animals. Taking either animals from one enclosure to an adjacent enclosure through a gate is called a “transfer.” The following conditions are strictly observed：
The two animals cannot be together in any enclosure or
gate.
Transfers cannot occur simultaneously
In moving either one animal or both to a specified
enclosure or enclosures， the minimum number of trans-
fers needed to achieve the specified result are used.
16.If the lion is in enclosure 1 and the tiger is in enclo-
sure 3， and the lion is to be moved to enclosure 7， the
tiger could be in which of the following enclosures
when all of the transfers have been completed?
(A) 1
(B) 3
(C) 4
(D) 5
(E) 6
17.If the tiger is in enclosure 5 and the lion is in enclo-
sure 3， moving the tiger to which of the following
enclosures requires exactly two transfers?
(A) 2
(B) 3
(C) 4
(D) 6
(E) 7
18.If the lion is in enclosure 6 and the tiger is in enclo-
sure 7， and the lion is to be moved to enclosure 7 and
the tiger to enclosure 6， then which of the following
must be true?
(A) The lion is transferred to enclosure 3 at some
time during the move.
(B) The tiger is transferred to enclosure 5 twice.
(C) One of the two animals is transferred to
enclosure 3 twice.
(D) Three transfers to enclosure 5 are made.
(E) At least one transfer is made to either enclosure
2 or enclosure 4.
19.If the lion is in enclosure 3 and the tiger is in enclo-
sure 4， and the lion is to be moved to enclosure 5 and
the tiger to enclosure 7， then exactly how many trans-
fers must be made?
(A) Four
(B) Five
(C) Six
(D) Seven
(E) Eight
20.If the lion is in enclosure 1 and the tiger is in enclo-
sure 7， and the lion is to be transferred to enclosure 3
and the tiger to enclosure 1， then which of the fol-
lowing CANNOT be true?
(A) The lion is transferred to enclosure 2 in the first
transfer.
(B) The lion is transferred to enclosure 3 in the
second transfer.
(C) The lion is transferred to enclosure 4 in the
second transfer.
(D) The tiger is transferred to enclosure 5 in the first
transfer.
(E) The tiger is transferred to enclosure 3 in the
second transfer.
21. If the lion is in enclosure 1 and the tiger is in enclo-
sure 3， and the lion is to be moved to enclosure 6 and
the tiger to enclosure 5， then the second transfer could
be a transfer of the
(A) lion to enclosure 2
(B) lion to enclosure 5
(C) tiger to enclosure 4
(D) tiger to enclosure 5
(E) tiger to enclosure 7
22.If the lion is in enclosure 3 and the tiger is in enclo-
sure 6， and the lion is to be moved to enclosure 6 and
the tiger to enclosure 3， then which of the following
must be true?
(A) Exactly five enclosures are used in the move
(B) One animal is transferred exactly twice as many
times as the other animal.
(C) All of the transfers of the lion are completed
before any transfer of the tiger occurs.
(D) At one point one of the animals is transferred to
either enclosure 2 or enclosure 4.
(E) At one point neither the lion nor the tiger is in
enclosure 3， enclosure 5， or enclosure 6.
SECTION 3
Time -30 minutes
30 Questions
x -1 = y
x = 3
1. y 80
The gross receipts from the sale of t tickets， at
$17 per ticket， total $16，660.
2. t 1，000
Points T and U are on a circle with center O
3. OT TU
A box contains 20 marbles all of which are solid colored; 5 of the marbles are green and 10 of the marbles are fed.
4. The probability that The probability that a a marble selected at marble selected at ran-random form the box dom from the box will will be green be neither red now green
5. Eleven thousand plus 11，111 eleven hundred plus eleven
6. x 15
The cost c of an order of n special envelopes is given by c= ($0.50)n + $ 15.00.
7. The cost of an order of $260
500 special envelopes
The average (arithmetic mean) of 7， 9， and x is greater than 9.
8. x 11
a>0
9. 40a
10.
Each of the numbers x， y， w， and z (not neces sarily distinct) can have any of the values 2， 3，
9， or14.
11. wz
a = -219
12. a + a a + a
13. x + 2x + 1 x
a > h
14. d e
w， x， y， and z are consecutive positive integers and w
15. The remainder when 1
(w +x)(x + y)(y + z)
is divided by 2
16. A certain machine drills 30 holes in 8 minutes.
At that constant rate， how many holes will 4 such machines drill in 1 hours?
(A) 300
(B) 900
(C) 960
(D) 1，200
(E) 2，560
17. Tina， Ed， and Lauren agree to share the cost of a gift and to make their contributions in proportion to their ages. Ed's age is of Tina's age， and Lauren's age is of Ed's age. If Lauren's share of the cost is $ 2.50， what is the cost of the gift?
(A) $25
(B) $20
(C) $15
(D) $12
(E) $10
18. Three solid cubes of lead， each with edges 10 centimeters long， are melted together in a level， rectangular-shaped pan. The base of the pan has inside dimensions of 20 centimeters by 30 centimeters， and the pan is 15 centimeters deep. If the volume of the solid lead is approximately the same as the volume of the molted lead， approximately how many centimeters deep is the melted lead in the pan?
(A) 2.5
(B) 3
(C) 5
(D) 7.5
(E) 9
19. Which of the following CANNOT be the sum of two integers that have a product of 30?
(A) 31
(B) 17
(C) -11
(D) -13
(E) -21
20. In the rectangular coordinate system above， if point (a， b)， shown， and the two points (4a， b) and (2a， 2b)， not shown， were connected by straight lines， then the area of the resulting triangular region， in terms of a and b， would be
(A)
(B) ab
(C)
(D) 2ab
(E) 4ab
Questions 21-22 refer to the following graph.
The top and bottom of each bar indicate， respectively， the highest and lowest daily number of shirts sold during the month. The heavy line across each bar indicates the average (arithmetic mean) number of shirts sold per day during the month.
21. What was the range in the daily number of shirts
sold during March?
(A) 20
(B) 45
(C) 50
(D) 60
(E) 70
22. The average (arithmetic mean)number of shirts sold per day during February was approximately what percent greater than the average number sold during January?
(A) 10%
(B) 20%
(C) 30%
(D) 40%
(E) 70%
Questions 23-25 refer to the following graph.
23. For which two uses of electricity was the ratio of the amounts of electricity used most nearly 3 to 1?
(A) Water heater and lights/small appliances
(B) Large appliances and lights/small appliances
(C) Air conditioner and water heater
(D) Air conditioner and lights/small appliances
(E) Air conditioner and large appliances
24. The electricity used by the water heater was measured separately and its cost per kilowatt-hour was one-half the cost per kilowatt-hour of the rest of the electricity used. The cost of the electricity used by the water heater was most nearly what fraction of the total cost of all the electricity used?
(A)
(B)
(C)
(D)
(E) It cannot be determined from the information given.
25. In November the Smythe household used the same total amount of electricity as in July， but the water heater used 33 percent of this total amount. By approximately what percent did the amount of electricity used by the water heater increase from July to November?
(A) 13%
(B) 33%
(C) 50%
(D) 65%
(E) 130%
26. One integer will be randomly selected from the ntegers 11 to 60， inclusive. What is the probability hat the selected integer will be a perfect square or a erfect cube?
(A) 0.1
(B) 0.125
(C) 0.16
(D) 0.5
(E) 0.9
27. The measures of two angles of a parallelogram iffer by 52 degrees. The number of degrees in the maller angle is
(A) 38
(B) 52
(C) 64
(D) 76
(E) 128
28. The odds in favor of winning a game can be found by computing the ratio of the probability of wining to the probability of not winning. if the probability that Pat will win a game is ， what are the odds that Pat will win the game?
(A) 4 to 5
(B) 4 to 9
(C) 5 to 4
(D) 5 to 9
(E) 9 to 5
29. If a， b， c， and d are consecutive integers such that a
(A) a + 4
(B) 2a + 3
(C) 3a + 2
(D) 3a + 3
(E) 3a +4
30. 2 + 2 =
(A) 2
(B) 2
(C) 2
(D) 4
(E) 4
38 Questions
1.A computer program can provide information in ways
that force students to —— learning instead of being
merely —— of knowledge.
(A) shore up …… reservoirs
(B) accede to …… consumers
(C) participate in …… recipients
(D) compensate for…… custodians
(E) profit from …… beneficiaries
2. The form and physiology of leaves vary according to
the —— in which they develop： for example， leaves
display a wide range of adaptations to different
degrees of light and moisture.
(A) relationship
(B) species
(C) sequence
(D) patterns
(E) environment
3. One theory about intelligence sees —— as the
logical structure underlying thinking and insists that
since animals are mute， they must be —— as well.
(A) behavior…… inactive
(B) instinct…… cooperative
(C) heredity…… thoughtful
(D) adaptation…… brutal
(E) language…… mindless
4. Though —— in her personal life， Edna St. Vincent
Millay was nonetheless —— about her work， usually
producing several pages of complicated rhyme in a
day.
(A) jaded…… feckless
(B) verbose…… ascetic
(C) vain…… humble
(D) impulsive…… disciplined
(E) self-assured…… sanguine
5. The children's —— natures were in sharp contrast
to the even-tempered dispositions of their parents.
(A) mercurial
(B) blithe
(C) phlegmatic
(D) introverted
(E) artless
6. By —— scientific rigor with a quantitative approach，
researchers in the social sciences may often have ——
their scope to those narrowly circumscribed topics that
are well suited to quantitative methods.
(A) undermining…… diminished
(B) equating…… enlarged
(C) vitiating…… expanded
(D) identifying…… limited
(E) imbuing…… broadened
7. As early as the seventeenth century， philosophers
called attention to the —— character of the issue，
and their twentieth-century counterparts still approach
it with ——。
(A) absorbing…… indifference
(B) unusual…… composure
(C) complex…… antipathy
(D) auspicious…… caution
(E) problematic…… uneasiness
8. TRIPOD： CAMERA：：
(A) scaffolding： ceiling
(B) prop： set
(C) easel： canvas
(D) projector： film
(E) frame： photograph
9. AQUATIC： WATER：：
(A) cumulus： clouds
(B) inorganic： elements
(C) variegated： leaves
(D) rural： soil
(E) arboreal： trees
10. EMOLLIENT： SUPPLENESS：：
(A) unguent： elasticity
(B) precipitant： absorption
(C) additive： fusion
(D) desiccant： dryness
(E) retardant： permeability
11. DRAW： DOODLE：：
(A) talk： whisper
(B) travel： ramble
(C) run： walk
(D) calculate： add
(E) eat： gobble
12. CONSPICUOUS： SEE：
(A) repulsive： forget
(B) prohibited： discount
(C) deceptive： delude
(D) impetuous： disregard
(E) transparent： understand
13. IMMATURE： DEVELOPED：：
(A) accessible： exposed
(B) theoretical： conceived
(C) tangible： identified
(D) irregular： classified
(E) incipient： realized
14. PERSPICACITY： ACUTE：：
(A) adaptability： prescient
(B) decorum： complacent
(C) caprice： whimsical
(D) discretion： literal
(E) ignorance： pedantic
15. PLAYFUL： BANTER：：
(A) animated： originality
(B) exaggerated： hyperbole
(C) insidious： effrontery
(D) pompous： irrationality
(E) taciturn： solemnity
16. QUARANTINE： CONTAGION：：
(A) blockage： obstacle
(B) strike： concession
(C) embargo： commerce
(D) vaccination： inoculation
(E) prison： reform
Influenced by the view of some twentieth-century
feminists that women's position within the family is
one of the central factors determining women's social
position， some historians have underestimated the signi-
(5) ficance of the woman suffrage movement. These histor-
ians contend that nineteenth-century suffragism was less
radical and， hence， less important than， for example， the
moral reform movement or domestic feminism-two
nineteenth-century movements in which women strug-
(10)gled for more power and autonomy within the family.
True， by emphasizing these struggles， such historians
have broadened the conventional view of nineteenth-
century feminism， but they do a historical disservice to
suffragism. Nineteenth-century feminists and anti-
(15)feminist alike perceived the suffragists' demand for
enfranchisement as the most radical element in women's
protest， in part because suffragists were demanding
power that was not based on the institution of the
family， women's traditional sphere. When evaluating
(20)nineteenth-century feminism as a social force， contem-
porary historians should consider the perceptions of
actual participants in the historical events.
17.The author asserts that the historians discussed in
the passage have
(A) influenced feminist theorists who concentrate on
the family
(B) honored the perceptions of the women who
participated in the women suffrage movement
(C) treated feminism as a social force rather than as
an intellectual tradition
(D) paid little attention to feminist movements
(E) expanded the conventional view of nineteenth-
century feminism
18.The author of the passage asserts that some
twentieth-century feminists have influenced some
historians view of the
(A) significance of the woman suffrage movement
(B) importance to society of the family as an
institution
(C) degree to which feminism changed nineteenth-
century society
(D) philosophical traditions on which contemporary
feminism is based
(E) public response to domestic feminism in the
nineteenth century
19.The author of the passage suggests that which of the
following was true of nineteenth-century feminists?
(A) Those who participated in the moral reform
movement were motivated primarily by a
desire to reconcile their private lives with their
public positions.
(B) Those who advocated domestic feminism，
although less visible than the suffragists， were
in some ways the more radical of the two
groups.
(C) Those who participated in the woman suffrage
movement sought social roles for women that
were not defined by women's familial roles.
(D) Those who advocated domestic feminism
regarded the gaining of more autonomy within
the family as a step toward more participation
in public life.
(E) Those who participated in the nineteenth-
century moral reform movement stood midway
between the positions of domestic feminism
and suffragism.
20.The author implies that which of the following is
true of the historians discussed in the passage?
(A) They argue that nineteenth-century feminism
was not as significant a social force as
twentieth-century feminism has been.
(B) They rely too greatly on the perceptions of the
actual participants in the events they study.
(C)Their assessment of the relative success of
nineteenth-century domestic feminism does
not adequately take into account the effects of
antifeminist rhetoric.
(D)Their assessment of the significance of
nineteenth-century suffragism differs
considerably from that of nineteenth-century
feminists.
(E) They devote too much attention to nineteenth-
century suffragism at the expense of more
radical movements that emerged shortly after
the turn of the century.
Many objects in daily use have clearly been influenced
by science， but their form and function， their dimensions
and appearance， were determined by technologists
artisans， designers， inventors， and engineers——using non-
(5) scientific modes of thought. Many features and qualities
of the objects that a technologist thinks about cannot be
reduced to unambiguous verbal descriptions; they are
dealt with in the mind by a visual， nonverbal process. In
the development of Western technology， it has been non-
(10)verbal thinking， by and large， that has fixed the outlines
and filled in the details of our material surroundings.
Pyramids， cathedrals， and rockets exist not because of
geometry or thermodynamics， but because they were first
a picture in the minds of those who built them.
(15) The creative shaping process of a technologist's mind
can be seen in nearly every artifact that exists. For exam-
ple， in designing a diesel engine， a technologist might
impress individual ways of nonverbal thinking on the
machine by continually using an intuitive sense of right-
(20)ness and fitness. What would be the shape of the com-
bustion chamber? Where should the valves be placed?
Should it have a long or short piston? Such questions
have a range of answers that are supplied by experience，
by physical requirements， by limitations of available
(25)space， and not least by a sense of form. Some decisions，
such as wall thickness and pin diameter， may depend on
scientific calculations， but the nonscientific component
of design remains primary.
Design courses， then， should be an essential element
(30)in engineering curricula. Nonverbal thinking， a central
mechanism in engineering design， involves perceptions，
the stock-in-trade of the artist， not the scientist. Because
perceptive processes are not assumed to entail “hard
thinking，“ nonverbal thought is sometimes seen as a prim-
(35)itive stage in the development of cognitive processes and
inferior to verbal or mathematical thought. But it is para-
doxical that when the staff of the Historic American
Engineering Record wished to have drawings made of
machines and isometric views of industrial processes for
(40)its historical record of American engineering， the only
college students with the requisite abilities were not engi-
neering students， but rather students attending architec-
tural schools.
It courses in design， which in a strongly analytical
(45)engineering curriculum provide the background required
for practical problem- solving， are not provided， we can
expect to encounter silly but costly errors occurring in
advanced engineering systems. For example， early models
of high-speed railroad cars loaded with sophisticated
(50)controls were unable to operate in a snowstorm because
a fan sucked snow into the electrical system. Absurd ran-
dom failures that plague automatic control systems are
not merely trivial aberrations; they are a reflection of the
chaos that results when design is assumed to be primarily
a problem in mathematics.
21.In the passage， the author is primarily concerned
with
(A) identifying the kinds of thinking that are used
by technologists
(B) stressing the importance of nonverbal thinking
in engineering design
(C) proposing a new role for nonscientific thinking
in the development of technology
(D) contrasting the goals of engineers with those of
technologists
(E) criticizing engineering schools for emphasizing
science in engineering curricula
22.It can be inferred that the author thinks engineering
curricula are
(A) strengthened when they include courses in
design
(B) weakened by the substitution of physical
science courses for courses designed to
develop mathematical skills
(C) strong because nonverbal thinking is still
emphasized by most of the courses
(D) strong despite the errors that graduates of such
curricula have made in the development of
automatic control systems
(E) strong despite the absence of nonscientific
modes of thinking
23.Which of the following statements best illustrates
the main point of lines 1-28 of the passage?
(A) When a machine like a rotary engine mal-
functions， it is the technologist who is best
equipped to repair it.
(B) Each component of an automobile-for
example， the engine or the fuel tank-has a
shape that has been scientifically determined
to be best suited to that component's function
(C) A telephone is a complex instrument designed
by technologists using only nonverbal thought
(D) The designer of a new refrigerator should
consider the designs of other refrigerators
before deciding on its final form.
(E) The distinctive features of a suspension bridge
reflect its designer's conceptualization as well
as the physical requirements of its site.
24.Which of the following statements would best serve
as an introduction to the passage?
(A) The assumption that the knowledge incorpor-
ated in technological developments must be
derived from science ignores the many non-
scientific decisions made by technologists.
(B) Analytical thought is no longer a vital com-
ponent in the success of technological
development.
(C) As knowledge of technology has increased， the
tendency has been to lose sight of the impor-
tant role played by scientific thought in
making decisions about form， arrangement，
and texture.
(D) A movement in engineering colleges toward
a technician's degree reflects a demand for
graduates who have the nonverbal reasoning
ability that was once common among engineers.
(E) A technologist thinking about a machine，
reasoning through the successive steps in a
dynamic process， can actually turn the
machine over mentally.
25.The author calls the predicament faced by the
Historic American Engineering Record “para-
doxical“ (lines 36-37) most probably because
(A) the publication needed drawings that its own
staff could not make
(B) architectural schools offered but did not require
engineering design courses for their students
(C) college students were qualified to make the
drawings while practicing engineers were not
(D) the drawings needed were so complicated that
even students in architectural schools had
difficulty making them.
(E) engineering students were not trained to make
the type of drawings needed to record the
development of their own discipline
26.According to the passage， random failures in
automatic control systems are “not merely trivial
aberrations“ (lines53) because
(A) automatic control systems are designed by
engineers who have little practical experience
in the field
(B) the failures are characteristic of systems
designed by engineers relying too heavily on
concepts in mathematics
(C) the failures occur too often to be taken lightly
(D) designers of automatic control systems have too
little training in the analysis of mechanical
difficulties
(E) designers of automatic control systems need
more help from scientists who have a better
understanding of the analytical problems to be
solved before such systems can work efficiently
27.The author uses the example of the early models of
high-speed railroad cars primarily to
(A) weaken the argument that modern engineering
systems have major defects because of an
absence of design courses in engineering
curricula
(B) support the thesis that the number of errors in
modern engineering systems is likely to
increase
(C) illustrate the idea that courses in design are the
most effective means for reducing the cost of
designing engineering systems
(D) support the contention that a lack of attention to
the nonscientific aspects of design results in
poor conceptualization by engineers
(E) weaken the proposition that mathematics is a
necessary part of the study of design
28.IGNITE：
(A) amplify
(B) douse
(C) obscure
(D) blemish
(E) replicate
29.MUTATE：
(A) recede
(B) grow larger
(C) link together
(D) remain the same
(E) decrease in speed
24.Which of the following statements would best serve
as an introduction to the passage?
(A) The assumption that the knowledge incorpor-
ated in technological developments must be
derived from science ignores the many non-
scientific decisions made by technologists.
(B) Analytical thought is no longer a vital com-
ponent in the success of technological
development.
(C) As knowledge of technology has increased， the
tendency has been to lose sight of the impor-
tant role played by scientific thought in
making decisions about form， arrangement，
and texture.
(D) A movement in engineering colleges toward
a technician's degree reflects a demand for
graduates who have the nonverbal reasoning
ability that was once common among engineers.
(E) A technologist thinking about a machine，
reasoning through the successive steps in a
dynamic process， can actually turn the
machine over mentally.
25.The author calls the predicament faced by the
Historic American Engineering Record “para-
doxical“ (lines 36-37) most probably because
(A) the publication needed drawings that its own
staff could not make
(B) architectural schools offered but did not require
engineering design courses for their students
(C) college students were qualified to make the
drawings while practicing engineers were not
(D) the drawings needed were so complicated that
even students in architectural schools had
difficulty making them.
(E) engineering students were not trained to make
the type of drawings needed to record the
development of their own discipline
26.According to the passage， random failures in
automatic control systems are “not merely trivial
aberrations“ (lines53) because
(A) automatic control systems are designed by
engineers who have little practical experience
in the field
(B) the failures are characteristic of systems
designed by engineers relying too heavily on
concepts in mathematics
(C) the failures occur too often to be taken lightly
(D) designers of automatic control systems have too
little training in the analysis of mechanical
difficulties
(E) designers of automatic control systems need
more help from scientists who have a better
understanding of the analytical problems to be
solved before such systems can work efficiently
27.The author uses the example of the early models of
high-speed railroad cars primarily to
(A) weaken the argument that modern engineering
systems have major defects because of an
absence of design courses in engineering
curricula
(B) support the thesis that the number of errors in
modern engineering systems is likely to
increase
(C) illustrate the idea that courses in design are the
most effective means for reducing the cost of
designing engineering systems
(D) support the contention that a lack of attention to
the nonscientific aspects of design results in
poor conceptualization by engineers
(E) weaken the proposition that mathematics is a
necessary part of the study of design
28.IGNITE：
(A) amplify
(B) douse
(C) obscure
(D) blemish
(E) replicate
29.MUTATE：
(A) recede
(B) grow larger
(C) link together
(D) remain the same
(E) decrease in speed
30.FRAGMENT： (A) ensue
(B) revive
(C) coalesce
(D) balance
(E) accommodate
31.OSTENSIBLE：
(A) gargantuan
(B) inauspicious
(C) intermittent
(D) perpetual
(E) inapparent
32.PROLIXITY：
(A) ceremoniousness
(B) flamboyance
(C) succinctness
(D) inventiveness
(E) lamentation
33.CONCERTED：
(A) meant to obstruct
(B) not intended to last
(C) enthusiastically supported
(D) run by volunteers
(E) individually devised
34.FORBEARANCE：
(A) fragility
(B) impatience
(C) freedom
(D) nervousness
(E) tactlessness
35.COSSETED：
(A) unspoiled
(B) irrepressible
(C) serviceable
(D) prone to change
(E) free from prejudice
36.PROBITY：
(A) timidity
(B) sagacity
(C) impertinence
(D) uncertainty
(E) unscrupulousness
37.ESCHEW：
(A) habitually indulge in
(B) take without authorization
(C) leave unsaid
(D) boast about
(E) handle carefully
38.REDOUBTABLE：
(A) trustworthy
(B) unschooled
(C) credulous
(D) not formidable
(E) not certain 1.Which of the following is an order in which the six
magazines can be arranged， from position 1 through
position 6?
(A) M， O， P， S， V， T
(B) P， O， S， M， V， T
(C) P， V， T， O， M， S
(D) P， V， T， S， O， M
(E) T， P， V， M， O， S
2.If P occupies position 3， which of the following must
be true?
(A) M occupies position 4.
(B) O occupies position 2.
(C) S occupies position 5.
(D) T occupies position 6.
(E) V occupies position 2.
3.If O and T， not necessarily in that order， occupy
consecutively numbered positions， then T can be in
position
(A) 1
(B) 2
(C) 4
(D) 5
(E) 6
4.Which of the following can be true?
(A) M occupies position 4 and P occupies position 5.
(B) P occupies position 4 and V occupies position 5.
(C) S occupies position 2 and P occupies position 3.
(D) P occupies position 2.
(E) S occupies position 5.
5. If V occupies position 4， then T must occupy the
position that is numbered exactly one lower than the
position occupied by
(A) M (B) O (C) P
(D) S (E) V
6.If S and V， not necessarily in that order， occupy
consecutively numbered positions， which of the
following must be true?
(A) M occupies position 4.
(B) O occupies position 2.
(C) P occupies position 1.
(D) S occupies position 6.
(E) T occupies position 6.
7. Patel： Although enrollment in the region's high
school has been decreasing for several
years， enrollment at the elementary school
has grown considerably. Therefore， the
regional school board proposes building a
new elementary school.
Quintero： Another solution would be to convert some
high school classrooms temporarily into
classrooms for elementary school students.
Which of the following， if true， most helps to support
Quintero's alternative proposal?
(A) Some rooms at the high school cannot be con-
verted into rooms suitable for the use of ele-
mentary school students.
(B) The cost of building a high school is higher than
the cost of building an elementary school.
(C) Although the birth rate has not increased， the
number of families sending their children to
the region's high school has increased markedly.
(D) A high school atmosphere could jeopardize the
safety and self-confidence of elementary school
students.
(E) Even before the region's high school population
began to decrease， several high school class-
rooms rarely needed to be used.
Question 8 is based on the following graph
8.Which of the following， if true， most helps explain
the difference in the rates of decline between 1980
and 1990 in population of puffins and arctic terns，
two kinds of seabirds for which sand eels serve as a
primary source of food?
(A) Puffins switched in part from their preferred food
of sand eels to rockfish and other fish， but arctic
terns did not.
(B) The marked decline in the populations of puffins
and arctic terns that occurred on Alair Island
did not occur on other similar islands nearby，
where there are substantial populations of both
species.
(C) The decline in sand eels was due to changes in
environmental conditions that affected the
reproduction of eels rather than to overfishing
by people.
(D)The main diet of puffin and arctic tern chicks on
Alair Island in 1980 consisted of young sand
eels.
(E) Unusual severe weather that disrupted the breed-
ing cycle of the sand eels of Alair Island in
1989 also damaged the nests of puffins but not
those of arctic terns.
9. Peter： More than ever before in Risland， college graduates with
science degrees are accepting permanent jobs in other
fields. That just goes to show that scientists in Risland are
not being paid enough.
Lila： No， it does not. These graduates are not working in science
for the simple reason that there are not enough jobs in science in
Risland to employ all of these graduates.
Which of the following， if true in Risland， would most undermine
the reasoning in Peter's argument?
(A) The college graduates with science degrees who are not work-
ing in science are currently earning lower salaries than they
would earn as scientists.
(B) Fewer college students than ever before are receiving degrees
in science.
(C) The number of jobs in science has steadily risen in the last
decade.
(D) A significant number of college graduates with science degrees
worked at low-paying jobs while they were in college.
(E) Every year some recent college graduates with science degrees
accept permanent jobs in nonscientific fields.
Questions 10-15
Exactly six lectures will be given one at a time at a one-
day conference. Two of the lectures-S and T-will be
given by resident speakers， the other four-W， X， Y， and
Z-will be given by visiting speakers. At least two but
no more than four of the lectures will be given before
lunch; the remaining lectures will be given after lunch.
The following conditions must be observed：
S will be the fourth lecture.
Exactly one of the lectures by a resident will be given
before lunch.
Y will be given at some time before T is given.
If W is given before lunch， Y will be given after lunch.
10.Which of the following can be the order of lectures
and lunch at the conference?
(A) W， X， Lunch， Y， S， T， Z
(B) X， Y， T， Lunch， S， Z， W
(C) Y， T， Lunch， S， W， X， Z
(D) Z， T， W， S， Lunch， Y， X
(E) Z， W， Y， S， Lunch， X， T
11.If exactly two lectures are given before lunch， they
must be
(A) X and T
(B) Y and T
(C) Z and T
(D) Z and W
(E) Z and Y
12.If exactly three lectures， including Y and Z， are given
before lunch， which of the following can be true?
(A) T is the second lecture.
(B) T is the fifth lecture.
(C) W is the third lecture.
(D) X is the first lecture.
(E) X is the third lecture.
13.If T is the sixth lecture， which of the following must
be true?
(A) X is the first lecture.
(B) X is the second lecture.
(C) Exactly two lectures are given before lunch.
(D) Exactly three lectures are given before lunch.
(E) Exactly four lectures are given before lunch.
14.If S and Z are both given after lunch， which of the
following must be true?
(A) X is given before lunch.
(B) X is given after lunch.
(C) Y is given before lunch.
(D) T is the third lecture.
(E) Z is the fifth lecture.
15.Which of the following lectures CANNOT be given
immediately before lunch?
(A) S
(B) T
(C) X
(D) Y
(E) Z
Questions 16-22
A circus has seven fenced enclosures， numbered 1 through
7， for two animals： a lion and a tiger. Each enclosure is
connected to adjacent enclosures by interior gates. There
are exactly eight such gates， each connecting one enclosure to exactly one other enclosure： enclosure 1 is connected to enclosures 2， 3 and 4; enclosure 3 to enclosures 1， 2， 4， and 5; and enclosure 5 to enclosures 3， 6， and 7. These gates provide the only connections between enclosures. Occasionally a trainer moves the animals. Taking either animals from one enclosure to an adjacent enclosure through a gate is called a “transfer.” The following conditions are strictly observed：
The two animals cannot be together in any enclosure or
gate.
Transfers cannot occur simultaneously
In moving either one animal or both to a specified
enclosure or enclosures， the minimum number of trans-
fers needed to achieve the specified result are used.
16.If the lion is in enclosure 1 and the tiger is in enclo-
sure 3， and the lion is to be moved to enclosure 7， the
tiger could be in which of the following enclosures
when all of the transfers have been completed?
(A) 1
(B) 3
(C) 4
(D) 5
(E) 6
17.If the tiger is in enclosure 5 and the lion is in enclo-
sure 3， moving the tiger to which of the following
enclosures requires exactly two transfers?
(A) 2
(B) 3
(C) 4
(D) 6
(E) 7
18.If the lion is in enclosure 6 and the tiger is in enclo-
sure 7， and the lion is to be moved to enclosure 7 and
the tiger to enclosure 6， then which of the following
must be true?
(A) The lion is transferred to enclosure 3 at some
time during the move.
(B) The tiger is transferred to enclosure 5 twice.
(C) One of the two animals is transferred to
enclosure 3 twice.
(D) Three transfers to enclosure 5 are made.
(E) At least one transfer is made to either enclosure
2 or enclosure 4.
19.If the lion is in enclosure 3 and the tiger is in enclo-
sure 4， and the lion is to be moved to enclosure 5 and
the tiger to enclosure 7， then exactly how many trans-
fers must be made?
(A) Four
(B) Five
(C) Six
(D) Seven
(E) Eight
20.If the lion is in enclosure 1 and the tiger is in enclo-
sure 7， and the lion is to be transferred to enclosure 3
and the tiger to enclosure 1， then which of the fol-
lowing CANNOT be true?
(A) The lion is transferred to enclosure 2 in the first
transfer.
(B) The lion is transferred to enclosure 3 in the
second transfer.
(C) The lion is transferred to enclosure 4 in the
second transfer.
(D) The tiger is transferred to enclosure 5 in the first
transfer.
(E) The tiger is transferred to enclosure 3 in the
second transfer.
21. If the lion is in enclosure 1 and the tiger is in enclo-
sure 3， and the lion is to be moved to enclosure 6 and
the tiger to enclosure 5， then the second transfer could
be a transfer of the
(A) lion to enclosure 2
(B) lion to enclosure 5
(C) tiger to enclosure 4
(D) tiger to enclosure 5
(E) tiger to enclosure 7
22.If the lion is in enclosure 3 and the tiger is in enclo-
sure 6， and the lion is to be moved to enclosure 6 and
the tiger to enclosure 3， then which of the following
must be true?
(A) Exactly five enclosures are used in the move
(B) One animal is transferred exactly twice as many
times as the other animal.
(C) All of the transfers of the lion are completed
before any transfer of the tiger occurs.
(D) At one point one of the animals is transferred to
either enclosure 2 or enclosure 4.
(E) At one point neither the lion nor the tiger is in
enclosure 3， enclosure 5， or enclosure 6.
SECTION 3
Time -30 minutes
30 Questions
x -1 = y
x = 3
1. y 80
The gross receipts from the sale of t tickets， at
$17 per ticket， total $16，660.
2. t 1，000
Points T and U are on a circle with center O
3. OT TU
A box contains 20 marbles all of which are solid colored; 5 of the marbles are green and 10 of the marbles are fed.
4. The probability that The probability that a a marble selected at marble selected at ran-random form the box dom from the box will will be green be neither red now green
5. Eleven thousand plus 11，111 eleven hundred plus eleven
6. x 15
The cost c of an order of n special envelopes is given by c= ($0.50)n + $ 15.00.
7. The cost of an order of $260
500 special envelopes
The average (arithmetic mean) of 7， 9， and x is greater than 9.
8. x 11
a>0
9. 40a
10.
Each of the numbers x， y， w， and z (not neces sarily distinct) can have any of the values 2， 3，
9， or14.
11. wz
a = -219
12. a + a a + a
13. x + 2x + 1 x
a > h
14. d e
w， x， y， and z are consecutive positive integers and w
15. The remainder when 1
(w +x)(x + y)(y + z)
is divided by 2
16. A certain machine drills 30 holes in 8 minutes.
At that constant rate， how many holes will 4 such machines drill in 1 hours?
(A) 300
(B) 900
(C) 960
(D) 1，200
(E) 2，560
17. Tina， Ed， and Lauren agree to share the cost of a gift and to make their contributions in proportion to their ages. Ed's age is of Tina's age， and Lauren's age is of Ed's age. If Lauren's share of the cost is $ 2.50， what is the cost of the gift?
(A) $25
(B) $20
(C) $15
(D) $12
(E) $10
18. Three solid cubes of lead， each with edges 10 centimeters long， are melted together in a level， rectangular-shaped pan. The base of the pan has inside dimensions of 20 centimeters by 30 centimeters， and the pan is 15 centimeters deep. If the volume of the solid lead is approximately the same as the volume of the molted lead， approximately how many centimeters deep is the melted lead in the pan?
(A) 2.5
(B) 3
(C) 5
(D) 7.5
(E) 9
19. Which of the following CANNOT be the sum of two integers that have a product of 30?
(A) 31
(B) 17
(C) -11
(D) -13
(E) -21
20. In the rectangular coordinate system above， if point (a， b)， shown， and the two points (4a， b) and (2a， 2b)， not shown， were connected by straight lines， then the area of the resulting triangular region， in terms of a and b， would be
(A)
(B) ab
(C)
(D) 2ab
(E) 4ab
Questions 21-22 refer to the following graph.
The top and bottom of each bar indicate， respectively， the highest and lowest daily number of shirts sold during the month. The heavy line across each bar indicates the average (arithmetic mean) number of shirts sold per day during the month.
21. What was the range in the daily number of shirts
sold during March?
(A) 20
(B) 45
(C) 50
(D) 60
(E) 70
22. The average (arithmetic mean)number of shirts sold per day during February was approximately what percent greater than the average number sold during January?
(A) 10%
(B) 20%
(C) 30%
(D) 40%
(E) 70%
Questions 23-25 refer to the following graph.
23. For which two uses of electricity was the ratio of the amounts of electricity used most nearly 3 to 1?
(A) Water heater and lights/small appliances
(B) Large appliances and lights/small appliances
(C) Air conditioner and water heater
(D) Air conditioner and lights/small appliances
(E) Air conditioner and large appliances
24. The electricity used by the water heater was measured separately and its cost per kilowatt-hour was one-half the cost per kilowatt-hour of the rest of the electricity used. The cost of the electricity used by the water heater was most nearly what fraction of the total cost of all the electricity used?
(A)
(B)
(C)
(D)
(E) It cannot be determined from the information given.
25. In November the Smythe household used the same total amount of electricity as in July， but the water heater used 33 percent of this total amount. By approximately what percent did the amount of electricity used by the water heater increase from July to November?
(A) 13%
(B) 33%
(C) 50%
(D) 65%
(E) 130%
26. One integer will be randomly selected from the ntegers 11 to 60， inclusive. What is the probability hat the selected integer will be a perfect square or a erfect cube?
(A) 0.1
(B) 0.125
(C) 0.16
(D) 0.5
(E) 0.9
27. The measures of two angles of a parallelogram iffer by 52 degrees. The number of degrees in the maller angle is
(A) 38
(B) 52
(C) 64
(D) 76
(E) 128
28. The odds in favor of winning a game can be found by computing the ratio of the probability of wining to the probability of not winning. if the probability that Pat will win a game is ， what are the odds that Pat will win the game?
(A) 4 to 5
(B) 4 to 9
(C) 5 to 4
(D) 5 to 9
(E) 9 to 5
29. If a， b， c， and d are consecutive integers such that a
(A) a + 4
(B) 2a + 3
(C) 3a + 2
(D) 3a + 3
(E) 3a +4
30. 2 + 2 =
(A) 2
(B) 2
(C) 2
(D) 4
(E) 4