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artistry. However, entering into a partnership
entails substantial legal liability; if one partner
defaults, the other is left responsible for all
debts. Also, Ronald is afraid that a partner would
want to have some veto power old that Mr. Ewing "feels" that
he must get a studio by the end of the month OR he will
injure his reputation; therefore, he assumes that not
meeting the contracts will have a detrimental effect.even on the same street, is a
goal or OBJECTIVE of Mr. Ewing, as expressed in the second
paragraph. Again, the "-ing" verb is indicating a goal or
objective, an (A) answer.6. (D) This is an ASSUMPTION Mr. Ewing makes. In the
first paragraph you are totates that he would like to
remain as close to Skipland Avenue as possible. Since the
third studio is on Bond Avenue, Bond Avenue's proximity to
Skipland Avenue is a MINOR FACTOR that bears on the major
factor of location.5. (A) Staying in the area, told that cost,
location and lighting are relevant; acoustics are not
considered.3. (B) Rental cost is one of the basic considerations
Mr. Ewing weighs in judging among the three studios.
Therefore, it is a MAJOR FACTOR.4. (C) Mr. Ewing explicitly she
month in order to meet his contractual obligations.
Remember that a consideration beginning with an "-ing"
verb is often (but not always) an (A) answer.2. (E) Although one studio has good acoustics, acoustics
are IRRELEVANT to the decision. You are h of time Mr. Ewing is without
a studio
(A) (B) (C) (D) (E)18.Type of lighting available at 920 Skipland Avenue
(A) (B) (C) (D) (E)1. (A) The goal, or OBJECTIVE, of the decision maker
(Mr. Ewing) is to rent a new studio by the end of te fire at the old studio
(A) (B) (C) (D) (E)15.Time when each studio would be available for rental
(A) (B) (C) (D) (E)16.Mr. Ewing's worldwide reputation for professional
excellence
(A) (B) (C) (D) (E)17.Minimizing the lengtthe Bond
Avenue studio
(A) (B) (C) (D) (E)11.Types of models Mr. Ewing photographs
(A) (B) (C) (D) (E)12.Mr. Ewing's fear of heights
(A) (B) (C) (D) (E)13.Size of the three studios
(A) (B) (C) (D) (E)14.Cause of thparking needs will not
increase in the future
(A) (B) (C) (D) (E)8.Lack of parking at 825 Skipland Avenue
(A) (B) (C) (D) (E)9.Location of the various studios
(A) (B) (C) (D) (E)10.Difficulty with the tenant's eviction from ) (B) (C) (D) (E)5.Renting a studio in the same area as the old studio
(A) (B) (C) (D) (E)6.Detrimental effect on Mr. Ewing's reputation of not
meeting contractual commitments
(A) (B) (C) (D) (E)7.Likelihood that Mr. Ewing's 1.Renting a new studio by the end of the month
(A) (B) (C) (D) (E)2.Acoustics in the new studio
(A) (B) (C) (D) (E)3.Rental cost of each studio considered
(A) (B) (C) (D) (E)4.Proximity of Bond Avenue to Skipland Avenue
(As him that there
could be a delay of a month or more.
After viewing the studios, Mr. Ewing returns
home to consider all three sites and to determine
which would be the most convenient for him.
#End of Passage#'s
old studio. However, the current tenant does not
want to leave and is contesting his eviction
notice. Although the property owners assure Mr.
Ewing that the studio will be free by the end of
the month, Mr. Ewing's agent advise could move into the
studio within the week.
The third studio is located at 1007 Bond
Avenue, a street just off Skipland Avenue. The
studio rents for only $900 a month, is on the
first floor, and is much larger than Mr. Ewinge
day, making the interior of the studio totally
dependent on artificial lighting. The studio has
excellent acoustics and thick carpeting, making it
a very quiet and peaceful place to work. It rents
for $1,900 a month. Mr. Ewinghout a studio is
definitely a goal or an OBJECTIVE.18. (C) Since Mr. Ewing wants natural lighting for his
photography, the availability of such lighting is a major
factor in his decision. The type of lighting available at
any particular studio bears oer than minor.16. (E) This is IRRELEVANT to this particular decision,
which is which studio to rent.17. (A) Mr. Ewing's goal is to get into a studio by the
end of the month to meet his contractual commitments;
therefore, minimizing the time he is witust be able to get
into the studio by the end of the month in order to meet
his contractual commitments. Since the concept of time
is critical and the statement refers to all three of the
studios (rather than to one specific one), the factor is
MAJOR rathsideration of the decision maker and is IRRELEVANT.14. (E) The decision is which studio to rent NOW; the
cause of a fire at an old studio is in the past and does
not affect (is IRRELEVANT to) the current decision.15. (B) This is critical; Mr. Ewing mcision-
making process and thus is critical, making the factor
major rather than minor.13. (E) This is tricky; nowhere were you told that size
is important. It is only mentioned in passing regarding
one of the three studios. Therefore, it is not a
conpes of models who will be photographed in that
studio are totally IRRELEVANT to the decision.12. (B) This is a MAJOR FACTOR. Because Mr. Ewing is
afraid of heights, he wants to rent a studio that is on
the ground floor. This fear affects his entire deis is a MINOR FACTOR, something specifically
considered by the decision maker. It is minor rather
than major because it is just one consideration referring
to just one of the three studios.11. (E) The decision to be made is which studio to rent.
The tyhim, the lack of parking overall is unimportant. It is
IRRELEVANT to this decision.9. (B) This question is very similar to number 4. The
location of one specific studio is a minor factor; the
location of all the studios is a MAJOR FACTOR.10. (C) Thntial future earnings of Ronald
(A) (B) (C) (D) (E)
STOP!
IF TIME REMAINS, YOU MAY GO THROUGH THIS
SECTION AGAIN TO CHECK YOUR WORK.8. (E) Since Mr. Ewing only needs one space for his
limousine, and since he has that one space allotted to
nsion of Ronald's interior decorating business
(A) (B) (C) (D) (E)33.Cost of establishing the various types of business
arrangements
(A) (B) (C) (D) (E)34.Liability for debts incurred by a partner
(A) (B) (C) (D) (E)35.Potee to arguments over creative
projects
(A) (B) (C) (D) (E)30.Cost of incorporating
(A) (B) (C) (D) (E)31.Degree of artistic control Ronald could exert in the
various types of business associations
(A) (B) (C) (D) (E)32.Expaenefits obtained by incorporating
(A) (B) (C) (D) (E)27.Determining the best way to expand the business
(A) (B) (C) (D) (E)28.Degree of liability of the various forms of business
(A) (B) (C) (D) (E)29.Avoiding waste of time dudesigns
(A) (B) (C) (D) (E)23.Creation of a designer showroom
(A) (B) (C) (D) (E)24.Ronald's years of experience as a top interior
decorator
(A) (B) (C) (D) (E)25.Cost of hiring workers
(A) (B) (C) (D) (E)26.Tax bartistic control over a
company divided into small units
(A) (B) (C) (D) (E)21.Likelihood of continued growth in demand for
Ronald's services
(A) (B) (C) (D) (E)22.Ability to assure clients that Ronald has personally
approved all antages and disadvantages of each
before reaching a final decision.
#End of Passage#19.Educational background of Ronald in design
(A) (B) (C) (D) (E)
(First Question, Second Passage)20.Feasibility of maintaining ver projects and that
they would waste time bickering over details.
After reviewing all the facts about the
various forms of business expansion, Ronald and his
accountant and business manager decide to further
consider the advtic
control).Although money usually is a minor or major
factor, here it is IRRELEVANT. The POTENTIAL earnings
are too far in the future; the decision involves which
type of organization produces the most advantages on
several fronts now (e.g., lack of liability, artisdifferent types of organizations, rather than
to just one particular type (as in question number 30).34. (C) This factor was considered; it is a MINOR FACTOR
as it is just one aspect of one particular type of
association considered by Ronald.35. (E) sage centers on the fact that
Ronald's main OBJECTIVE is to expand his business.33. (B) This question is closely related to number 30.
The cost is a factor considered; it is a MAJOR FACTOR
because it is a general consideration relating here to
all the the degree of that control Ronald
could assert is a MAJOR FACTOR. It is also MAJOR, rather
than minor, because it is a general consideration that
relates to all the options being discussed, rather than to
just one specific option.32. (A) The entire pastion, a factor that was
analyzed and thought about; however, it is a MINOR FACTOR
because it is just one specific cost relating to one
specific type of business organization.31. (B) Since you know that maintaining artistic control
is a major objective, , you are told
that Ronald is AFRAID he and a partner would waste time
bickering; the use of the word AFRAID indicates that
Ronald does NOT want to waste time bickering, and that
avoiding waste of time is an OBJECTIVE of his.30. (C) This is a consideraJOR FACTOR in his decision-making process. The factor
is MAJOR, rather than minor, also because it is general
and is a consideration affecting all the different types
of associations, not just one particular type.29. (A) In the second-to-last paragraphJECTIVE of the decision maker. He wants to
consider his alternatives and determine the best approach
to adopt to expand his business.28. (B) The liability Ronald would incur varies according
to the type of organization he adopts; such liability is
a MApe
of organization; they are a MINOR FACTOR. Had the
statement been more broad, such as, "Tax benefits
associated with the different business plans," it would
have been a MAJOR FACTOR, (B).27. (A) This is the entire idea of the passage, the
overall OB25. (C) The cost of hiring workers is a MINOR FACTOR
because the cost of such hiring relates only to one of the
three alternatives being considered.26. (C) The tax benefits of incorporation are one
specific factor to be considered about one specific tybuilding such a showroom is an OBJECTIVE
of his.24. (E) While the years of experience as a decorator are
important for Ronald's business in general, they are
IRRELEVANT to this particular decision, which is which
type of business association to adopt.o assure his clients of his personal
artistic control; therefore, being able to give such
assurance is an OBJECTIVE of Ronald's.23. (A) The second paragraph tells you that Ronald needs
money to build a designer showroom; from this, you may
infer that ) Ronald wants to expand his business because he
ASSUMES that demand for his services will continue to
increase. A projection of some future event is a typical
kind of (D) item.22. (A) You are told in the third paragraph that Ronald
wants to be able t, you are told that Ronald
feels that breaking the company into small units will
enable him to maintain artistic control over its
creations. However, no evidence is given for Ronald's
belief. Therefore, this is an ASSUMPTION being made by
Ronald.21. (Dn this major factor and so is
a MINOR FACTOR.19. (E) The education or training that Ronald has had in
design is IRRELEVANT to this particular decision, which
is what type of business organization or association
to adopt.20. (D) In the third paragraphermine that if he got 7/8 wrong he
got 1/8, or 12.5%, correct. Either statement alone is
sufficient.17. (C) Knowing the hypotenuse of a triangle helps you
determine the area of the triangle only if you know the
proportion that the sides and hypotenuse 2. 1/2 cubed is less than 3*(1/2). must be a
positive fraction less than 1; you know that such a
fraction cubed (multiplied by itself 3 times) is smaller
than that fraction multiplied by 3. Statement two tells
you that since 1/2 (.5 = 1/2) of "a" is 1/4 (.25 = 1/4),
"a" must equal 1/ve, or "a" could be positive and "b"
negative, or both could be zero. According to statement
two, at least one of the variables must be zero.
Combining the statements tells you that both "a" and "b"
are zero.4. (D) Statement one tells you that "a"e out the total
payment. The second statement gives you the number of
cups (you can determine how many cups there are in 16
gallons); combine the statements to answer the question.3. (C) According to statement one, "b" could be negative
and "a" positi squared = 49; therefore, x is +7 or -7. Statement
two alone is not sufficient but must be combined with
statement one to allow you to determine that x = +7.2. (C) The first statement tells you the payment per cup;
alone it is not sufficient to figurE)
25.Is "a" even?
(1)"a" squared is positive.
(2)3a is negative.
(A) (B) (C) (D) (E)
STOP!
IF TIME REMAINS, YOU MAY GO THROUGH THIS
SECTION AGAIN TO CHECK YOUR WORK.1. (C) For statement one, add the 36 to the 13 to find
that x = 1
(2)(1/2)x = 1
(A) (B) (C) (D) (E)24.What is the probability of drawing a short straw
in a single draw?(There are only short straws and
long straws.)
(1)There are 65 straws.
(2)There are 39 long straws.
(A) (B) (C) (D) (.
(A) (B) (C) (D) (E)22.Given a square inscribed in a circle, what is the
area of the square?
(1)The circumference of the circle is 18 PI.
(2)The area of the circle is 81 PI.
(A) (B) (C) (D) (E)23.Is x a prime number?
(1)x/xo 1971?
(1)In 1970, sales increased 10% from 1969.
(2)In 1969, sales were 2.1 million.
(A) (B) (C) (D) (E)21.What fraction of a is g?
(1)a,b,c,d,e,f and g are consecutive multiples
of 5.
(2)The average of a,b,c,d,e,f and g is 20e way.
(A) (B) (C) (D) (E)19.What is the cost of the new computer program?
(1)The program sells for a 20% profit.
(2)The profit on the program is $22.00.
(A) (B) (C) (D) (E)20.What percent increase in sales was there from 1970
td Russell have to wait for Dale at their
rendezvous point?Both men began driving at the same
place and time.
(1)Russell drove 30 mph for 3 hours and twice
that speed for 2 hours.
(2)Dale drove 40 mph for 4 hours and 50 mph for
the rest of thot 7/8 of the questions wrong.
(A) (B) (C) (D) (E)
C
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+----------
B
A
17.What is the area of right triangle ABC above?
(1)AC = 12
(2)Angle BCA = 30 degrees
(A) (B) (C) (D) (E)18.How long di12.5% of the women arrived late.
(A) (B) (C) (D) (E)16.What percent of the questions on the final exam did
the student answer correctly? (All questions answered.)
(1)He missed 175 questions but answered 25
questions correctly.
(2)He g2)There are 56 non-skiers at the party.
(A) (B) (C) (D) (E)14.What is x?
(1)x squared = 9.
(2)x cubed = 27.
(A) (B) (C) (D) (E)15.What percent of employees arrived at work on time?
(1)16-2/3% of the men arrived late.
(2) what is the measure of
Angle L?
(1)Angles M and N are complementary.
(2)Angles L, M, and N are supplementary.
(A) (B) (C) (D) (E)13.How many skiers attend the ski party?
(1)The ratio of skiers to non-skiers at the party
is 5:7.
(st.
(D)the first better.
(E)geometry better.11.Mahalia Jackson sings gospel songs beautifully and
is respected worldwide for her abilityto do it.
(A)to do it.
(B)doing it.
(C)to do so.
(D)doing so.
(E)doing that.12.In getting the lines.
(E)the actress found she suddenly forgotten the
lines.10.Surveys have shown that of students who take both
chemistry and physics, most likethe former best.
(A)the former best.
(B)the former better.
(C)the first best time,the
lines suddenly were forgotten by the actress.
(A)the lines suddenly were forgotten by the actress.
(B)the lines suddenly, by the actress, were
forgotten.
(C)the actress suddenly forgot the lines.
(D)the actress, suddenly forher a number is odd or even cannot be
determined with information telling whether it is
positive or negative. Both statements give irrelevant
information that is insufficient to answer the question.Ihe total number of straws,
both short and long). Statement one gives you the total.
Use the information given in statement two to find the
number of short straws (65 - 39 = 26 short straws). You
need both statements to answer the question.25. (E) Whet
is prime or composite. Statement two is sufficient;
since half of x is 1, x must be 2, which is a prime
number.24. (C) Probability is found by placing the number of
desired outcomes (the number of short straws) over the
number of possible outcomes (tce the circumference is 2 PI times
the radius. Statement two allows you to find the radius
since the area is PI times the radius squared.23. (B) Statement one alone is not sufficient; ANY number
divided by itself is 1, regardless of whether that numberonal
of a square is the same as the diameter of the circle in
which it is inscribed, knowing the diameter (which is the
same as twice the radius) of the circle will allow you to
find the area of the square. Statement one allows you to
find the radius, sinhout knowing that the numbers are
evenly-spaced and what the spacing is, you cannot find
the values of a and g. You must combine both statements. 22. (D) Since you can find the area of a square by
knowing the length of its diagonal, and since the diage numbers
could be 5,10,15,20,25,30 in which case g/a = 30/5 or 6.
If the numbers were different, g/a would be different.
For example, if the numbers were 25,30,35,40,45,50, g/a
would be 50/25, or 2. Statement two alone only gives you
the average; witn 1969 and
1970, but no information on 1971. You cannot assume that
either the percentage increase or the dollar increase
remained constant; therefore, you don't have enough
information to determine an answer.21. (C) Statement one is not sufficient; tht one allows you to determine that if cost is C,
profit is 20% of C, or (1/5) C. Statement two tells you
what the profit is, $22.00. Therefore, $22.00 = (1/5) C;
C = $110.00. You must use both statements.20. (E) The statements give you information o at 50 mph it took him an hour. Statement
one gives you the time taken by Russell; statement two
gives you the time taken by Dale. You must combine the
statements to answer the question.19. (C) Use the formula: Selling Price = Cost + Profit.
Statemen took and how far he
went: at 30 mph for 3 hours, he went 90 miles. At 60
mph for 2 hours, he went 120 miles. Russell took 5 hours
to go 210 miles. At 40 mph for 4 hours, Dale went 160
miles. Since he also wanted to go 210 miles, he had 50
miles left;you can find the measures of
the sides based on the information given in statement one.
Multiply the measures of sides AB and BC and then divide
by 2 to find the area.
18. (C) Use the formula: Rate*Time = Distance. You
could determine how long Russellare in.
Statement two gives you that proportion. Since Angle ABC
is 90 degrees and the total measure of a triangle is 180
degrees, if Angle BCA is 30 degrees the ratio of the
angles is 30:60:90. The sides are therefore in a
1:radical 3:2 proportion; now t like PHENOMENA) and
requires a plural verb, WERE. The singular form is
CRITERION (just like PHENOMENON).22. (C) You cannot compare the work of one man to another
man himself; you must compare the work of one man to the
work of another man. Doing so r possessive pronoun, ITS, is required; IT'S
is a contraction of IT IS.20. (C) When HOWEVER is used to join independent clauses,
the proper form is semicolon, conjunction, comma. Choice
(E) makes the sentence a run-on.21. (B) CRITERIA is plural (juss
incorrect; it would have to modify a noun or pronoun.
Choices (D) and (E) change the meaning of the sentence
unnecessarily.19. (D) ORGANIZATION is a collective noun and is singular
(other common collective nouns are GROUP, CLUB and UNION).
The singulaause it serves as the subject of the clause, "lived
and worked in France." WHOM is only correct when used
as the object of a verb or preposition.18. (B) The adverb CAREFULLY is required because it is
modifying the verb TO WORK. The adjective CAREFUL i(E)fewer24.Karl Marx lived many yearsinflicted byboils and
suffering great pain from them.
(A)inflicted by
(B)inflicted with
(C)infected from
(D)afflicted with
(E)affected with(C)than that of William B. Purvis;
(D)that William B. Purvis's;
(E)then that of William B. Purvis;23.There arelesscandy bars in the bag than there
should be; someone must have taken some.
(A)less
(B)lesser
(C)least
(D)few
was
(E)criteria for manners has been22.The work of George F. Grant is less knownthan
William B. Purvis;the former invented the golf tee, the
latter, a machine for making paper bags.
(A)than William B. Purvis;
(B)that William B. Purvis;
many
(E)golfers and many21.Oscar Wilde generally held that hiscriteria for
manners wasthe best available anywhere.
(A)criteria for manners was
(B)criteria for manners were
(C)criterion for manners were
(D)criterions for manners s generally recognized as one of the
best femalegolfers, however, manynew golfers arrive
every year to try to take the title away from her.
(A)golfers, however, many
(B)golfers, however; many
(C)golfers; however, many
(D)golfers; however;ourt
decisionto open their doors to women.
(A)to open their doors to women.
(B)to be opening their doors to woman.
(C)to open their doors to womankind.
(D)to open its doors to women.
(E)to open it's doors to women.20.Nancy Lopez i expected us to workas
careful as possible, not making careless mistakes.
(A)as careful as possible,
(B)as carefully as possible,
(C)careful,
(D)in a careful manner,
(E)with care,19.The Jaycees organization was told by a Supreme Cwas well known through out
(E)will be well known throughout17.The report analyzed the lifestyles of Chanel
and Colette,whichlived and worked in France.
(A)which
(B)who
(C)whom
(D)they
(E)what18.The teacher told us that shebegan when
(D)as they had begun when
(E)as they begin when16.Moshe Dayan, along with Golda Meir,were well known
throughoutthe world.
(A)were well known throughout
(B)were well known through out
(C)was well known throughout
(D)the ground.
(A)laying
(B)laid
(C)lain
(D)lying
(E)lieing15.The baby's cries were stopped almost as soonas they
begun whenthe mother gave her child his bottle.
(A)as they begun when
(B)as beginning when
(C)as they had a referral.
(A)didn't know who to call,
(B)doesn't know who to call,
(C)don't know who to call,
(D)didn't know whom to call,
(E)didn't know to call whom,14.Anne rose from her seat and went to the window to
admire the snowlayingon a battle of witsamongWilliam Safire and Edwin
Newman, I could not begin to predict who would win.
(A)among
(B)amongst
(C)between
(D)with
(E)of13.When the injured partydidn't know who to call,she
consulted the Help Clinic to get change will he receive?
(A)$3.90
(B)$3.40
(C)$2.60
(D)$1.10
(E)$0.40
STOP!
IF TIME REMAINS, YOU MAY GO THROUGH THIS
SECTION AGAIN TO CHECK YOUR WORK.1. (E) Multiply the -3 outside the parentheses by the
terms inside: -3 t(C)16 PI
(D)9 PI
(E)Cannot be determined20.Mario bought 9 avocados at the rate of 6 for $1.00,
12 ears of corn at the rate of 15 for $2.00, and 4 plums
at the rate of 5 for $1.00.If he gave the checker at the
store a $5.00 bill, how much --
ED
18.ABC and DEF are similar figures.What is the
perimeter of DEF?
(A)40
(B)48
(C)24
(D)20
(E)Cannot be determined19.Circle O is inscribed in a square of area 36.Find
the area of the circle.
(A)36 PI
(B)30 PI
uared is the product of which of the
following?
(A)(x - y)(x + y)
(B)(x - y)(x - y)
(C)(x + y)(x + y)
(D)x(x + y)
(E)x(x - y)AF
|\|\
|\5 |\
4 |\
|\
|90 deg\8 |\
+--------|\
BC|
\
+----------aking the final, only 37.5% get A's.If the
class has 640 students, how many Biology students get A's?
(No A's are given to students who took both the midterm
and the final exam.)
(A)560
(B)240
(C)80
(D)40
(E)3017.x squared - y sqce.** Press^Wto enter
theSCRATCHPADand^StoSEE QUESTIONagain. **16.At City College, 87.5% of the students take Biology.
One-seventh of those students take a final exam only,
rather than taking both a final and a midterm.Of those
students t car, how much was her total
commission in 1970?
(A)$2,500
(B)$2,000
(C)$200
(D)$120
(E)Cannot be determinedDIRECTIONS:Read and solve the following problem.
Choose the best answer and type the letter
corresponding to your choid in 1980 from the number of cars sold in 1960?
(A)400,000%
(B)40,000%
(C)10,000%
(D)100%
(E)2% 15.If the top saleswoman at Moshe Motors received a
commission of 8% per car for the first 1,000 cars and 9%
per car for every additionaldetermined13.Which of the following is closest to the approximate
average number of cars sold per month in 1970?
(A)2,500
(B)2,100
(C)250
(D)210
(E)Cannot be determined14.What percent increase was there in the number of cars
sol1980 |============================|
|,|
~~~~|~~~~~~~|~~~~~~~|~~~~~~|~~~~~~~~|~~~~~~~
1020304050
(in hundreds)12.How many cars were sold by Moshe Motors in 1980?
(A)400,000
(B)) 40,000
(C)4,000
(D)400
(E)Cannot be sponding to your choice.** Press^Wto enter
theSCRATCHPADand^StoSEE QUESTIONagain. **
SALES OF CARS BY MOSHE MOTORS
|~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~|
|,|
1960 |============ |
|,|
1970 |=================|
|,|
he same age?
(A)Raul and Tyler
(B)Raul, Sonya, and Tyler
(C)Sonya, Tyler, and Ursula
(D)Sonya and Raul
(E)Raul, Sonya, and UrsulaDIRECTIONS:Read and solve the following problem.
Choose the best answer and type the letter
correeam win from January through September, inclusive?
(A)273
(B)90
(C)70
(D)60
(E)5411.Raul is 2/5 as old as Sonya; Sonya is 250% as old as
Tyler; Tyler is 40% as old as Ursula.In which of the
following groups are all of the people trase functioning as the subject of
a sentence (here, "Proctoring exams all day") is
singular and requires a singular verb. Choices (D)
and (E) unnecessarily change the tense and meaning
of the sentence respectively.y, is
needed because two situations are being compared: the
number of candy bars there were previously and the number
there are now.24. (D) To be AFFLICTED WITH is to suffer from, to be
caused distress by. To INFLICT is to impose.25. (B) A gerund phin this instance requires
the use of THAT OF. Answer (E) incorrectly changes
THAN to THEN.23. (E) LESS is used before a singular noun form, as in
LESS SUGAR. FEWER is used before a plural noun form, as
in FEWER CANDY BARS. The comparative form, FEWERs have no wings and cannot travel long
distances as the females do
(E)males live longer than the females6.Which of the following is not a type of mosquito
mentioned by the author?
(A)Culex
(B)Psorophora
(C)Culiseta
(D)Hypopharynx
e mosquitos is that
(A)males are more immune to common insecticides
(B)males are found in greater numbers in arctic
climes, whereas females predominate in
tropical areas
(C)males have no ability to suck blood as the
females do
(D)maleo find the average, divide by the
number of terms, 3, to get x + 2.10. (B) You have to know how many days are in the months
from January through September. The months with 31 days
are January, March, May, July and August. At 12 games
per 31-day month,iply edge times
edge times edge: .7*.7*.7 = .343. Be certain to watch
your decimal places carefully in a problem of this type.9. (D) Let x represent the lowest number, x + 2 the
next number, and x + 4 the third number. Add the terms
to get 3x + 6. T flunked THIS year by
taking the NUMBER of students flunked and putting it over
the total number of students this year. You know the
number of students flunked this year, but not the total
number of students.8. (D) To find the volume of a cube, mult_|___________|___________|
| | | |
SIDNEY | 1 | 45 | 45 |
+----------+-----------+-----------+7. (E) In order to find the percentage decrease, you must
find the PERCENTAGE of students because she STARTED
15 minutes before Sidney. If you chose answer (A), you
fell into the trap.
TIME RATE DISTANCE
+----------+-----------+-----------+
RUTH | 3/4 | 60 | 45 |
|_________went at 3/4 the rate of Ruth; (3/4) * 60 mph = 45 mph.
A 45 mile trip driven at 45 mph takes 1 hour. Since Ruth
only drove 45 minutes, Sidney took 15 minutes longer
than Ruth. HOWEVER, Ruth ALSO had to wait another 15
minutes (for a total of 30 minutes)r is therefore r squared to 4r, which
may be expressed as the fraction (r squared/4r).6. (B) Make a chart as shown. If Ruth drove for 3/4 of
an hour at a rate of 60 mph, she drove 45 miles. Since
Sidney made the same trip, he also drove 45 miles. He
and c = 22.5. (C) The area of a square is side times side. If the
side is r, the area is r*r or r squared. The perimeter
of a square is side + side + side + side, or 4 sides.
With a square of side r, that is 4r. The ratio of the
area to the perimeteadd numbers under
square root signs and place that sum under a square root
sign.4. (C) Since the numbers are CONSECUTIVE, b (the number
in the middle) must be the average. The average of three
numbers that sum up to 60 is 20. Therefore, a = 18,
b = 20,Angle 5, 180 degrees - Angle 7 = Angle 1.3. (D) The positive square root of 16 is 4; the positive
square root of 36 is 6; the positive square root of 289
is 17; the positive square root of 400 is 20. 4 + 6 + 17
+ 20 = 47. Note that you CANNOT simply consequently, for statement
II, Angles 1 + 4 + 6 + 7 = 360 degrees. For statement
III, Angles 5 and 7 are along a straight line and thus are
supplementary (add up to 180 degrees). Therefore, 180
degrees - Angle 7 = Angle 5. Since Angle 1 is equal to
<
2. (C) All angles around a point sum up to 360 degrees;
therefore, Angles 1 + 2 + 3 + 4 = 360 degrees. When a
line intersects two parallel lines, the corresponding
angles are equal. Thus, Angle 6 is equal to Angle 2 and
Angle 7 is equal to Angle 3;
imes s equals -3s. -3 times -4
equals +12 (remember that a negative times a negative
equals a positive). Combine like terms: 9s - 3s = 6s.
ek expression meaning "to attract"
(First Question, Third Passage)20.This passage would most likely be found in which of
the following?
(A)an encyclopedia
(B)a dictionary
(C)a chemistry textbook
(D)a history textbook
(E)a physicame from
(A)the last name of the father of magnetism
(B)the name of the country where magnets were
first discovered
(C)the Latin names of the elements which compose
magnets
(D)the type of ore from which magnets are mined
(E)the Gred or the field of force.
Studies of the magnetic fields allowed scientists
to state the law of poles: like poles repel
and unlike poles attract one another.
#End of Passage#
19.You may infer that the term "magnet" the Presidency
(E)Presidential Politics
(First Question, Second Passage) popular and
less threatening figure, was elected.
#End of Passage#10.The best title for this passage might be
(A)Famous Presidents
(B)The Electoral College
(C)Presidential Candidates Who Lost
(D)The History of Adlai Stevenson lost bids for the presidency
twice, in 1952 and 1956. Some people think he lost
because of the "egghead" tag that was attached to
him, making voters think he was "too intellectual
for the job." General Eisenhower, ae first
year of the Civil War, ran against Abraham
Lincoln in 1864. Although he lost, it was by a
narrow margin; many voters agreed with him that the
war must be ended and that McClellan, not Lincoln,
was the man to do so.
, the Whigs chose
Henry Clay as their candidate for president. He
ran against Andrew Jackson, who was very popular
at the time, and lost badly.
General George B. McClellan, the only
Northern general who won any battles in th vice-president.
In 1824, Henry Clay ran for the presidency,
but came in fourth out of four candidates. John
Quincy Adams, although he had fewer Electoral
College votes than did Andrew Jackson, was
elected president. In 1832-president, but had
wanted to obtain the top position desperately.
During Burr's time, there were no presidential/
vice-presidential tickets; people voted for each
man individually, with the winner becoming
president and the loser==================
PASSAGE TWO
Aaron Burr is most noted for having shot and
killed Alexander Hamilton in a duel, not for having
run for the presidency against Thomas Jefferson.
He became Jefferson's vice section of the passage with the question below. **
DIRECTIONS: Each passage is followed by a set of
questions. Read the passage and answer the
questions based on what is STATED or IMPLIED in
the passage.
=================y
(D)are necessary to humans
(E)are complicated and sophisticated insects- ** Pressing^Rallows you to enter theREAD MORE
mode to see a longer excerpt of the passage. Press
^Sto return to theSEE QUESTIONmode for a shorter
life cycle of the mosquito
(E)state and refute common misconceptions about
the mosquito9.You may infer that the author feels that mosquitos
(A)are a necessary part of the food chain
(B)are bothersome
(C)are noble and maligned unfairlmosquito
(E)the study of mosquitos8.The rest of the passage would most likely
(A)discuss the anatomy of the mosquito
(B)give statistics about the location and number
of mosquitos
(C)tell the history of the mosquito
(D)discuss the(E)Anopheles7.Filariasis is
(A)a classification of mosquitos found in Siberia
(B)the name of the man responsible for finding a
cure for malaria caused by mosquitos
(C)a disease spread by mosquitos
(D)the biting beak of the female labeled an "intellectual" and was not elected, you may
infer that Eisenhower was elected partly because he
was not so labeled, and thus was not threatening.18. (E) The passage has no particular emotion; the
author is not being bitter or caustic, making "losers" who are often
forgotten today, he would disagree with the statement
that losers (or underdogs) are loved by all.16. (A) The answer is given in the second sentence of
the second paragraph.17. (C) Since the candidate against Eisenhower was
ant a president who was
too scholarly.14. (E) The specific answer is given in the first
sentence of the passage.15. (A) The key is to note that the question asks with
which statement the author would DISAGREE; since the
passage is about presidentialically.12. (B) The second half of the second paragraph states
that the Whigs chose Henry Clay as their candidate.13. (D) If voters thought that Stevenson was "too
intellectual" and did not vote him into office, you may
infer that the voters did not wnce of the passage, the author
calls mosquitos "pests"; from this you may infer he
considers them bothersome.10. (C) Each paragraph has as its topic one presidential
candidate who lost the election.11. (B) The third paragraph gives this answer
specifiasis.8. (E) Since the purpose of the passage is to debunk
myths about the mosquito, if the passage were to continue,
it would probably go on doing just that. It would most
likely give more misconceptions and disprove them.9. (B) In the second sente can suck blood.6. (D) The hypopharynx is actually a part of the body
of a mosquito, not a class of mosquitos. The classes
are listed in the final paragraph.7. (C) The last sentence of the passage lists the
disease elephantiasis, also known as filarumans
to inhabit tropical areas.4. (B) The second paragraph tells you that the female,
not the male, mosquito bites and sucks blood. She also
is stronger and lives longer than the male.5. (C) The second paragraph states that females, but not
males,isconceptions
and prove them wrong.2. (D) The first paragraph says that mosquitos may be
found in the arctic areas of Alaska, Canada, and Siberia.3. (A) The second sentence of the first paragraph says
that for years mosquitos made it impossible for hl the 1600's.
STOP!
IF TIME REMAINS, YOU MAY GO THROUGH THIS
SECTION AGAIN TO CHECK YOUR WORK.1. (C) Each paragraph discusses a myth or misconception
which the author then corrects; the overall idea or
purpose of the passage is to take common mation changes from place
to place.
(C)The earth is a large magnet.
(D)There is a place on earth where the north and
south magnetic poles are equal to one another
in attractive force.
(E)The functions of magnets were not understood
unti Invention of the Magnet
(C)The Father of Magnetism
(D)An Analysis of Polarity
(E)An Overview of Magnets25.According to the passage, which of the following is
not true?
(A)Like poles attract; unlike poles repel.
(B)The magnetic varif the earth
(B)the movement of the earth around the sun
(C)the shifting magnetic fields
(D)the increasing number of magnets in use
(E)all of the above24.The best title for this passage would be
(A)The Functions of Magnets
(B)The(A)the line of demarcation
(B)the north geographical pole
(C)the north magnetic pole
(D)the equator
(E)the aclinic line23.According to the passage, the magnetic declination
changes from year to year because of
(A)the rotation oincapable of
being precise
(D)the moon exerts a pull on the needle of the
compass, altering its true magnetism
(E)the metal in the compass alters the effect of
the magnet22.The attraction of the north and south magnetic poles
is equal at
cs textbook21.According to the passage, magnetic compasses seldom
point precisely to the north because
(A)the earth rotates constantly
(B)there is a difference between the north
geographical and magnetic poles
(C)man-made instruments are of 25%.How much did the necklace cost Lu Doc
originally?
(A)$385.00
(B)$335.00
(C)$288.00
(D)$90.00
(E)$25.0019.If the sum of two numbers is greater than the
product of those same two numbers, which of the
following may be true?
ECTIONS:Read and solve the following problem.
Choose the best answer and type the letter
corresponding to your choice.** Press^Wto enter
theSCRATCHPADand^StoSEE QUESTIONagain. **18.Lu Doc sold a necklace for $360.00 and made a
profit read and milk together
(C)meat and vegetables together
(D)tuition alone
(E)None of the above17.The money spent on fruit is approximately what
percent of that spent on rent?
(A)25%
(B)12.5%
(C)15%
(D)6.25%
(E).025%DIRtal money spent was $800.00, how much money
was spent on tuition?
(A)$600.00
(B)$400.00
(C)$200.00
(D)$100.00
(E)$50.0016.The amount spent on books was more than the amount
spent on which of the following?
(A)rent alone
(B)b-+
|BREAD | SOUP | |
|------|------|MEAT|
|FRUIT |CEREAL| |
|-------------+-------------|
| |CANDY | MILK |
| VEGETABLES|------|------|
| |SODA| MISC.|
+-------------+-------------+
VEGETABLES = 25%15.If the to----------+
||BOOKS|
|TUITION|-----------|
||MISC|
+------------+-----------+
|||
|RENT|FOOD|
|||
+------------+-----------+
RENT = 25%
Susan's Food Expenditures for May
+-------------+------------IRECTIONS:Read and solve the following problem.
Choose the best answer and type the letter
corresponding to your choice.** Press^Wto enter
theSCRATCHPADand^StoSEE QUESTIONagain. **
Susan's Total Expenditures for May
+------------+-r shopped for a new outfit at a sale and saved
2/3 the cost of the shirt, 3/4 the cost of the pants,
and 1/5 the cost of the sweater.How much money did
Trevor save?
(A)$100.00
(B)$10.00
(C)$1.00
(D)$0.10
(E)Cannot be determined!D area of rhombus ABCD?
(A)100%
(B)80%
(C)50%
(D)40%
(E)Cannot be determined13.If each quart of oil costs x cents, what is the
price in dollars for 8 gallons of oil?
(A)32x
(B)8x
(C).32x
(D).8x
(E)x/32 14.Trevod AD = 3, what
is the area of ABE + DEC?
(A)18
(B)12
(C)9
(D)6
(E)Cannot be determined
A___________B
/|
/
5/ | /
/|/
/___|______ /
DEC
12.If DE = 4, the area of right triangle AED is what
percent of the00
(C)$57.00
(D)$53.00
(E)$50.00
A________F________D
|\|90/|
| \deg/ |
|\|/|
|\ /|
|\|/|
|\/|
|\ | /|
|\ /|
|________v________|
BEC
11.ABCD is a rectangle.If AB = 6 an5. (A) This question required careful reading;
according to the last sentence of the passage, like
poles REPEL while unlike poles ATTRACT.dThe passage briefly gives a general overview of
magnets, from their origin to their properties. If you
answered number 20 correctly (stating that this passage
would be found in an encyclopedia), you should have
answered this question correctly as well.2 (E) This answer is specifically stated in the last
sentence of the second paragraph.23. (C) The second-to-last sentence of the first
paragraph states that because of the shifting magnetic
field of the earth, the magnetic declination varies.24. (E) to some of
the more salient points about magnets and magnetism. It
is much too general and simplistic to be found in a
physics or chemistry book, and has little to do with
history.21. (B) This answer is specifically stated in the
second paragraph.22.fun of
anyone, being humorous, or telling anecdotes. The
passage is simply a recital of facts.19. (B) The first sentence of the passage says that
magnets were first discovered in a country called
Magnesia.20. (A) The passage is a brief introduction negative numbers gives you a negative number.
For example, -5 + (-4) = -9. Multiplying two negative
numbers gives you a positive number; any positive number
is greater than a negative number. Statement IV may be
true; adding two fractions such as 1/2 angh each statement to see
whether you could make it true. In statement I, you
could use 1, such that 1 + 1 = 2 while 1*1 equals 1. In
statement II, you could use 5 and -4, such that 5 + (-4) =
1 while 5*(-4) = -20. Statement III is NEVER true;
adding two288.00. Note that you can check
this by working backwards from the answer key. If the
cost were $288.00, the profit was 1/4 of that, or $72.00.
$288.00 + $72.00 = $360.19. (D) Since the problem asks which MAY be true (not
which MUST be true), go throuense was.
It was 1/4 of 1/4, or 1/16. 1/16 is .0625, or 6.25%.18. (C) The formula to use here is Selling Price =
Cost + Profit. If there was a 25% (or 1/4) profit, the
selling price must have been Cost + 1/4 Cost, or 5/4 Cost.
$360.00 = (5/4) C; C = $-five percent of the total money was spent
on rent. Fruit is part of the smaller food graph, which
itself represents only 1/4 of the total, or the same
amount as rent. Therefore, you need only find out what
percent of the total second graph the fruit expual to the amount spent on milk. Bread and
milk each represent 1/4 of 1/4, or 1/16 of the smaller
graph. Together, they represent 2/16, or 1/8, BUT OF A
SMALLER GRAPH. 1/8 of the smaller graph must be less
than 1/8 of the larger graph.17. (D) Twentyh, tuition
must also equal 25% of the total. 25% of $800.00 =
$200.00.16. (B) The amount spent on books was 1/2 of 1/4 of the
total, or 1/8 of the total. The whole second graph only
represents 1/4 of the first graph. The amount spent on
bread is eqeach garment. Since you are given no information on
the price, only on the fractional savings, you do not
have enough information to answer the question.15. (C) You are told that rent = 25%; since rent and
tuition represent the same portion of the grap x CENTS, then
8 gallons costs 32x CENTS. To express this in dollars,
divide by 100 (since there are 100 cents in a dollar).
32x/100 = .32x.14. (E) In order to find out the money Trevor saved,
you would have to know the original (before sale) price
of the area of the triangle, which
is (1/2) bh, or (1/2)(4*3), which is 6. The area of a
rhombus is base times height, or 5*3, which is 15.
6/15 = 2/5 = 40%.13. (C) There are four quarts in a gallon; in 8 gallons
there are 32 quarts. If each quart costsrectangle minus the area of triangle AED is the
area of triangle ABE plus the area of triangle DEC and
must be 9 as well.12. (D) Since AED is a right triangle of hypotenuse 5
and base 4, the height, AE, must be 3 (remember the
3:4:5 ratio). Therefore, area of the
rectangle. (You may prove this by taking the formula for
the area of a triangle: (1/2) bh. Since b, or base, is
AD, it must be 3. Since h, or height, is EF, which is the
same as AB, it must be 6: (1/2)(6*3) = 9.) The area of
the whole ould be 13. 27/2 is 13.5. Three to the fourth power
is 3*3*3*3 or 81.
IF TIME REMAINS, YOU MAY GO THROUGH THIS
SECTION AGAIN TO CHECK YOUR WORK.1. (A) One to any power is 1. Any number to the first
power is itself, so that 13 to the first power is 13.
Radical 170 must be slightly larger than 13, since radical
169 w.Whenever Henrietta throws 6 pennies toward a bottle,
4 pennies go into the bottle.If the bottle can hold
$1.20, how many pennies must Henrietta throw in order to
fill the empty bottle?
(A)200
(B)180
(C)154
(D)140
(E)80
STOP!
I.Both numbers are the same.
II.One number is positive, one is negative.
III.Both numbers are negative.
IV.Both numbers are fractions.
(A)I only
(B)I and II
(C)I, II, and III
(D)I, II, and IV
(E)I, II, III, IV20ontribution per
person was approximately $57.00.11. (C) AB is the length of the rectangle; AD is the
width. To find the area of the whole rectangle, multiply
length times width, to get 18. Triangle AED is inscribed
in the rectangle and must be 1/2 the to
contribute, they contribute a total of $600.00. In order
to have a total of $800.00 when new friends are
contributing $100.00 each, there must be 2 new friends.
This makes the total number of people 14. Divide
$800.00 by 14 to find that the average cer, since the positive
square root of 100 is 10, you know that the positive
square root of 96 is less than 10. This gives you 6*8*9
(which is 432) OR 6*8*10 (which is 480); the answer must
lie between them.10. (C) If 12 friends each have only $50.00ive square root of 35 is about 6. Since the
positive square root of 64 is 8, the positive square root
of 62 is about 8. Radical 96 is harder; since the positive
square root of 81 is 9, you know that the positive square
root of 96 is greater than 9. Howev day, in 10 days she has done 20 miles.
20*70.4 = 1408 lengths; since a lap is 2 lengths, she
has done 1/2 as many laps, or 704 laps.9. (A) Approximate the positive square roots of the
numbers given. Since the positive square root of 36 is 6,
the posit6*4s) to get 6s and -24s. Combine them to get -18s.
Only choice I is correct.8. (A) If Olga swims 5 days a week for 2 weeks, she
swims 10 days. A mile is 1,760 yards; it would take
70.4 lengths of a 25-yard pool to cover a mile. If she
does 2 miles aan s. This leaves you
with choices I and II, which differ only in their central
term (the x squareds and the -12's are the same). In I,
you have (3s * -2) and (6*4s) to get -6s and +24s. Combine
those terms to get +18s. In II, you have (3s * +2) and
(- trapped
into thinking that a 10% increase per year is a 20%
increase overall, such that 120% of 500 = 600. 7. (A) You should have immediately eliminated choices III
and IV since you must have an s SQUARED and neither of
those choices multiplies an s by e was an increase of 50 units, since
50 = 10% of 500. This means that in 1981 there were 550
units sold. In 1982, there was an increase of 55 units,
since 55 = 10% of 550. This means that in 1982 there were
605 units sold (just add 55 + 550). Do NOT be the
SAME direction.5. (D) Find the total number of people possible by
adding the numbers in the ratio: 1 + 16 = 17. There
could be 17 people present, or ANY MULTIPLE OF 17. All
the answer choices are multiples of 17 except 67.6. (B) In 1981, ther, or 60 mph. Driving
2
60 mph for 6 hours, Elvira travels 360 miles. Since
Lemuel is going EAST and Elvira is going WEST, ADD the
miles to have a total of 600. Do NOT subtract the miles;
you would do so only if they were traveling inroduct (12) to get 25/12 or 2 ----.
12
4. (A) If Lemuel drives for 6 hours at 40 mph, he has
driven 240 miles. If Elvira drives at 150% of Lemuel's
1
speed, she drives 1 - times as fastirst, square the
first term: 3 squared = 9. Then square the second term:
4 squared = 16. Add those numbers: 9 + 16 = 25. Next,
multiply the two terms together: 3*4 = 12. Divide the
1
sum (25) by the p cards, the probability
of drawing it is 1/52. Since the probability of drawing
a 9 is FOUR TIMES the probability of drawing a Jack of
Hearts, it is 300% GREATER.3. (D) For this type of symbolism problem, say to
yourself in English what you must do. FD=@2. (B) Probability is found by dividing the number of
desired outcomes by the number of possible outcomes.
Since there are FOUR 9's in a deck of 52 cards, the
probability of drawing a 9 is 4/52. Since there is only
ONE Jack of Hearts in a deck of 52
ve friends want to purchase a pool table for
$800.00, but each has only $50.00.If new friends
contribute $100.00 each to make up the purchase price
difference, what is the average contribution per person
(to the nearest dollar)?
(A)$65.00
(B)$61. 5 days a week for 2 weeks, how many laps has
she swum?
(A)704
(B)625
(C)500
(D)480
(E)3559.What is the approximate product of radical 35,
radical 62, and radical 96?
(A)456
(B)525
(C)596
(D)640
(E)770
10.Twel.(3s) + 6(4s - 2)
IV.3(s + 6) + 4(s - 2)
(A) I only
(B) I and II
(C) II and III
(D) III and IV
(E) I, II, III and IV 8.Olga is told by her doctor to swim 2 miles a day in
a 25-yard pool.If a lap is 2 lengths of the pool and
Olga swimsar.
If the firm sold 500 units in 1980, how many units did it
sell in 1982?
(A)600
(B)605
(C)700
(D)710
(E)715
7.The product of which of the following is 12s
squared + 18s - 12?
I.(3s + 6)(4s - 2)
II.(3s - 6)(4s + 2)
IIImiles5.The ratio of men to women at a lecture is 1:16.
Which of the following could not be the total number
of men and women attending the lecture?
(A)17
(B)34
(C)51
(D)67
(E)856.Sales at the manufacturing firm increase 10% a yend drives east at a rate of
40 mph.Elvira leaves the same point at the same
time and drives west at 150% of Lemuel's speed.
In 6 hours, how far apart are Lemuel and Elvira?
(A)600 miles
(B)540 miles
(C)340 miles
(D)240 miles
(E)160 her
deck?
(A)400%
(B)300%
(C)200%
(D)100%
(E)The probabilities are equal.3.a # b = (a squared + b squared)/ab.
Solve for 3 # 4.
(A)34
(B)12
(C)3 1/4
(D)2 1/12
(E)Cannot be determined 4.Lemuel leaves point A aB)IV, I, III, V, II
(C)IV, III, I, V, II
(D)IV, II, V, III, I
(E)IV, I, II, V, I 2.The probability of drawing a nine from a standard
deck of playing cards is what percent greater than the
probability of drawing a Jack of Hearts from anoter theSCRATCHPADand^StoSEE QUESTION
again.**
1.Arrange the following in increasing order:
I.radical 170
II.3 to the fourth power
III.(27/2)
IV.1 to the thirteenth power
V.13 to the first power
(A)IV, V, I, III, II
(e appears on both sides of a + or - sign
when the symbol indicates addition or subtraction
(4 + 3 = 7).If the sign appears without a space
(e.g. -4), the symbol indicates whether the number
following it is positive or negative.Press^Wto
ente
problems in this section are drawn as accurately
as possible, they are NOT drawn exactly to scale.
All figures lie in a plane unless the problem
states or indicates otherwise.All numbers used in
this section are real numbers.
** A spac
SYMBOLS
*multiplied by
||is parallel to
>is greater than<is less than
NOTE:The word "radical" in these questions
indicates the positive square root of the number
that follows.
NOTE:Although the figures that accompany thd type the letter
corresponding to your choice.** Press the RIGHT
arrow key->to begin and to continue to the next
question.Press the LEFT arrow key <-if you wish
to review previous questions. **
The following information may be useful:
0h
ie
@5k0l@m
pSection 6: PROBLEM SOLVING
30 Minutes
20 Questions
DIRECTIONS:Read and solve each problem carefully.
Choose the best answer an Dl3M
] IUZ@VX
@ZZ
/[\
^k
_
0b )0vcg@e
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z
#
Š!
"ɴà
ɴ®àɵàɵ®à(ɶàɶ®àɴ®àϠɱàɱ®à1ɲàɲ®à ɳà!ɳ®à or 5*4), the -xy
and +xy cancel each other out, leaving only x squared
- y squared.18. (C) Since ABC is a right triangle with height 4 and
hypotenuse 5, the base must be 3 (in order to have a
3:4:5 ratio). Since the two triangles are similar, the
sine
must be negative and the other positive. With (x - y)*
(x + y), you have x*x to get x squared, x*(+y) to get
+xy, -y*x to get -yx, and -y*(+y) to get -y squared.
Since -yx is the same as -xy (two numbers may be
multiplied in any order, such as 4*5f 80 is 30, 30 students
got A's.17. (A) The PRODUCT is received when you MULTIPLY two
terms together. Since the product here has no central
xy-term (such as "2xy" or "-4xy"), you know that the xy's
must have canceled each other out. This means that o87.5% (which is the same as 7/8) of them took Biology.
Seven eighths of 640 = 560 (note the trap answer, A).
One seventh of those 560 students, or 80 students, took
the final only; 37.5%, which is the same as 3/8, of those
80 students got A's. Since 3/8 oamount of all additional sales.
You would have to add 8% of the first dollar amount to 9%
of the second dollar amount to solve the problem.16. (E) Convert the percentages to fractions and do the
problem in your head. The class began with 640 students;
In 1980, there were TWICE AS
MANY cars sold as in 1960. Doubling a number is the same
as increasing it by 100%.15. (E) You know the RATES of commission; however, you
need to know the total dollar amount of sales up to 1000
cars, and the total dollar 0 there were
about 25 hundred cars sold, or approximately 2,500.
Since there are 12 months in a year, divide 2,500 by 12 to
get 208.33. The closest answer to this is 210.14. (D) You should have been able to answer this with a
quick glance at the graph.12. (C) The graph shows that in 1980 40 cars were sold.
Since the key tells you that the 40 represents the
number of HUNDREDS of cars sold, you know that there were
forty hundred, or 4,000, cars sold in 1980.13. (D) Look at the graph to see that in 197st be 20, since
Sonya is 2 1/2 times as old as he is. If Tyler is 20,
Ursula is 50, since Tyler is 2/5 as old as she is. Raul
is 2/5 as old as Sonya, making him 20 as well. Your
conclusion should be that Raul and Tyler are 20; Sonya
and Ursula are 50.. Sonya = 5/2 Tyler (since 5/2 is the same as
2 1/2, or 250%). Tyler = 2/5 Ursula (since 40% is the
same as 2/5). Since all of your numbers are 2's or 5's,
assign hypothetical ages using those numbers. Suppose
that Sonya is 50 years old. Then Tyler mud the
games won to get a total of 90 games. NOTE that the trap
answer (A) is what you would receive if you added the
NUMBER OF DAYS PER MONTH, rather than the number of
GAMES WON per month.11. (A) Convert all the terms to fractions. Raul =
2/5 Sonya there are 60 games won in those months.
The months with 30 days are April, June and September; at
10 games per 30-day month, there are 30 games won during
those months. The month with fewer than 30 days is
February; the team wins no games that month. Adivide both sides by 2/3; invert
and multiply. (120/1)*(3/2) = 180.ed 1/4 makes them
greater, while multiplying them makes them smaller.20. (B) If Henrietta gets in 4 out of every 6 pennies
she throws, she gets in 2/3. That means that $1.20
(or 120 pennies) must be 2/3 of the number of pennies
thrown; 120 = (2/3) x. D
(4);"PR#3"::Q" Please put Programs (Side 1) into DRIVE #1 and"" press CONTROL-OPEN-APPLE-RESET. Thank you!"Lply edge times
edge times edge: .7*.7*.7 = .343. Be certain to watch
your decimal places carefully in a problem of this type.9. (D) Let x represent the lowest number, x + 2 the
next number, and x + 4 the third number. Add the terms
to get 3x + 6. Toflunked THIS year by
taking the NUMBER of students flunked and putting it over
the total number of students this year. You know the
number of students flunked this year, but not the total
number of students.8. (D) To find the volume of a cube, multi|___________|___________|
| | | |
SIDNEY | 1 | 45 | 45 |
+----------+-----------+-----------+7. (E) In order to find the percentage decrease, you must
find the PERCENTAGE of students because she STARTED
15 minutes before Sidney. If you chose answer (A), you
fell into the trap.
TIME RATE DISTANCE
+----------+-----------+-----------+
RUTH | 3/4 | 60 | 45 |
|__________ent at 3/4 the rate of Ruth; (3/4) * 60 mph = 45 mph.
A 45 mile trip driven at 45 mph takes 1 hour. Since Ruth
only drove 45 minutes, Sidney took 15 minutes longer
than Ruth. HOWEVER, Ruth ALSO had to wait another 15
minutes (for a total of 30 minutes) is therefore r squared to 4r, which
may be expressed as the fraction (r squared/4r).6. (B) Make a chart as shown. If Ruth drove for 3/4 of
an hour at a rate of 60 mph, she drove 45 miles. Since
Sidney made the same trip, he also drove 45 miles. He
wand c = 22.5. (C) The area of a square is side times side. If the
side is r, the area is r*r or r squared. The perimeter
of a square is side + side + side + side, or 4 sides.
With a square of side r, that is 4r. The ratio of the
area to the perimeterdd numbers under
square root signs and place that sum under a square root
sign.4. (C) Since the numbers are CONSECUTIVE, b (the number
in the middle) must be the average. The average of three
numbers that sum up to 60 is 20. Therefore, a = 18,
b = 20, Angle 5, 180 degrees - Angle 7 = Angle 1.3. (D) The positive square root of 16 is 4; the positive
square root of 36 is 6; the positive square root of 289
is 17; the positve square root of 400 is 20. 4 + 6 + 17
+ 20 = 47. Note that you CANNOT simply a consequently, for statement
II, Angles 1 + 4 + 6 + 7 = 360 degrees. For statement
III, Angles 5 and 7 are along a straight line and thus are
supplementary (add up to 180 degrees). Therefore, 180
degrees - Angle 7 = Angle 5. Since Angle 1 is equal to
<
2. (C) All angles around a point sum up to 360 degrees;
therefore, Angles 1 + 2 + 3 + 4 = 360 degrees. When a
line intersects two parallel lines, the corresponding
angles are equal. Thus, Angle 6 is equal to Angle 2 and
Angle 7 is equal to Angle 3;
60 (because 4/5 of $2.00 is $1.60). If 5 plums cost
$1.00, plums are 20 cents each and 4 cost 80 cents. Add
$1.50, $1.60 and $.80 to get a total COST of $3.90. The
question asks for the CHANGE from a $5.00 bill; $5.00 -
$3.90 = $1.10.qcircle is PI radius squared). 20. (D) If 6 avocados cost $1.00, 3 avocados must cost
50 cents. Therefore, 9 avocados (which is 3*3) must cost
$1.50 (which is 3*50 cents). If 15 ears of corn cost
$2.00, then 12 ears (which is 12/15 or 4/5) must cost
$1.e of side 6. Inscribe
a circle in it. Note that the diameter of the circle is
the same as the side of the square. Since the diameter
is 6, the radius must be 3 (a diameter is equal to two
radii). The area of a circle of radius 3 is 9 PI (the
area of a des are in proportion. Since EF is twice the length of
BC, every side in DEF must be twice the length of every
side in ABC. This means that DE is 6 and DF is 10. To
find the perimeter, add the sides: 6 + 10 + 8 = 24.19. (D) Draw for yourself a squar #End of Passage# 1.The primary purpose of the author is to
(A)discuss the mating and breeding of mosquitos
(B)analyze the various classes of mosquitos and
their characteristics
(C)debunk common myths about mosquitos
(D)critta), only one
spreads yellow fever: the Aedes aegypti (which is
totally dependent on man). Other types of
mosquitos carry different diseases, such as malaria
and elephantiasis (also known as filariasis).
s that plague humans and transfer diseases
come from the female mosquitos, who are much
stronger than the males and generally live longer
as well.
Of the five types of mosquitos (Anopheles,
Culex, Psorophora, Aedes, and Culiseng even
large animals to death.
Not all mosquitos sting or bite. An adult
male has a mouth lacking parts to suck blood.
Therefore, he does not bother humans or other
animals, but sucks fruit or leaves. The mosquito
biteuropeans to inhabit certain tropical areas,
mosquitos are also found in great numbers in the
arctic regions of Alaska, Canada, and Siberia.
Swarms of mosquitos (which may travel as far as 20
miles) are found in great clouds and may sti ===================================
PASSAGE ONE
Most people think that mosquitos are found
only in tropical areas. While it is true that for
years the presence of these pests made it difficult
for Emode for a shorter
section of the passage with the question below. **
DIRECTIONS: Each passage is followed by a set of
questions. Read the passage and answer the
questions based on what is STATED or IMPLIED in
the passage.
nue to the next question.Press the
LEFT arrow key<-if you wish to review previous
questions.**& ** Pressing^Rallows you to enter theREAD MORE
mode to see a longer excerpt of the passage. Press
^Sto return to theSEE QUESTIONof the Presidency
(E)Presidential Politics
(First Question, Second Passage) a popular and
less threatening figure, was elected.
#End of Passage#10.The best title for this passage might be
(A)Famous Presidents
(B)The Electoral College
(C)Presidential Candidates Who Lost
(D)The History Adlai Stevenson lost bids for the presidency
twice, in 1952 and 1956. Some people think he lost
because of the "egghead" tag that was attached to
him, making voters think he was "too intellectual
for the job." General Eisenhower,the first
year of the Civil War, ran against Abraham
Lincoln in 1864. Although he lost, it was by a
narrow margin; many voters agreed with him that the
war must be ended and that McClellan, not Lincoln,
was the man to do so.
0 (because 4/5 of $2.00 is $1.60). If 5 plums cost
$1.00, plums are 20 cents each and 4 cost 80 cents. Add
$1.50, $1.60 and $.80 to get a total COST of $3.90. The
question asks for the CHANGE from a $5.00 bill; $5.00 -
$3.90 = $1.10.aircle is PI radius squared). 20. (D) If 6 avocados cost $1.00, 3 avocados must cost
50 cents. Therefore, 9 avocados (which is 3*3) must cost
$1.50 (which is 3*50 cents). If 15 ears of corn cost
$2.00, then 12 ears (which is 12/15 or 4/5) must cost
$1.6 of side 6. Inscribe
a circle in it. Note that the diameter of the circle is
the same as the side of the square. Since the diameter
is 6, the radius must be 3 (a diameter is equal to two
radii). The area of a circle of radius 3 is 9 PI (the
area of a ces are in proportion. Since EF is twice the length of
BC, every side in DEF must be twice the length of every
side in ABC. This means that DE is 6 and DF is 10. To
find the perimeter, add the sides: 6 + 10 + 8 = 24.19. (D) Draw for yourself a squareth the question below. **
DIRECTIONS: Each passage is followed by a set of
questions. Read the passage and answer the
questions based on what is STATED or IMPLIED in
the passage.
===================================
stic
(C)humorous
(D)critical
(E)unemotional' ** Pressing^Rallows you to enter theREAD MORE
mode to see a longer excerpt of the passage. Press
^Sto return to theSEE QUESTIONmode for a shorter
section of the passage wie
(A)he was a military leader
(B)he had a popular wife
(C)he was not labeled an intellectual
(D)he was not as old as his opponent
(E)he was not in favor of a military build-up18.The tone of the passage is
(A)cynical
(B)sarca get?
(C)In what year did Aaron Burr run for
president?
(D)Who was Stevenson's vice-presidential
candidate in 1952?
(E)None of the above17.You may infer that the author felt the voters found
General Eisenhower "less threatening" becaus(E)Winning isn't everything; it's the only thing.
16.The passage contains information that would answer
which of the following questions?
(A)Who won the 1824 presidential election?
(B)What percentage of the popular vote did
General McClellanilling Alexander Hamilton in a duel15.The author would most likely disagree with which of
the following statements?
(A)All the world loves an underdog.
(B)To the victor go the spoils.
(C)Winner take all.
(D)Second best is never best.
ed for
(A)losing a major battle in the Revolutionary War
(B)instigating the Electoral College method of
appointing a president
(C)being the vice-president of Thomas Jefferson
(D)betraying his country and being tried for
treason
(E)kwere unaware of the important issues
(C)had been tricked into voting for the less
qualified candidate
(D)were wary of candidates who were too
scholarly
(E)were generally apathetic 14.According to the passage, Aaron Burr is most
remembere of the Whig party?
(A)Adlai Stevenson
(B)Henry Clay
(C)George McClellan
(D)Aaron Burr
(E)None of the above 13.The author, in his discussion of Stevenson's loss,
implies that voters at that time
(A)distrusted the military
(B)r the office
of president.
(D)He was the first general to be elected president
of the United States.
(E)He was the only man to win a majority vote yet
not gain the presidency.12.Which presidential candidate mentioned was a
representativ>=&11.According to the passage, what distinction did
McClellan have?
(A)He was the top general in the Civil War.
(B)He was the only Northern general to win a battle
in the first year of the Civil War.
(C)He was the first general to run fo
E)Presidential Politics
(First Question, Second Passage)ess threatening figure, was elected.
#End of Passage#10.The best title for this passage might be
(A)Famous Presidents
(B)The Electoral College
(C)Presidential Candidates Who Lost
(D)The History of the Presidency
(lost bids for the presidency
twice, in 1952 and 1956. Some people think he lost
because of the "egghead" tag that was attached to
him, making voters think he was "too intellectual"
for the job. General Eisenhower, a popular and
l year of the Civil War, ran against Abraham
Lincoln in 1864. Although he lost, it was by a
narrow margin; many voters agreed with him that the
war must be ended and that he, not Lincoln,
was the man to do so.
Adlai Stevenson #End of Passage# 1.The primary purpose of the author is to
(A)discuss the mating and breeding of mosquitos
(B)analyze the various classes of mosquitos and
their characteristics
(C)debunk common myths about mosquitos
(D)critta), only one
spreads yellow fever: the Aedes aegypti (which is
totally dependent on man). Other types of
mosquitos carry different diseases, such as malaria
and elephantiasis (also known as filariasis).
s that plague humans and transfer diseases
come from the female mosquitos, who are much
stronger than the males and generally live longer
as well.
Of the five types of mosquitos (Anopheles,
Culex, Psorophora, Aedes, and Culiseng even
large animals to death.
Not all mosquitos sting or bite. An adult
male has a mouth lacking parts to suck blood.
Therefore, he does not bother humans or other
animals, but sucks fruit or leaves. The mosquito
biteuropeans to inhabit certain tropical areas,
mosquitos are also found in great numbers in the
arctic regions of Alaska, Canada, and Siberia.
Swarms of mosquitos (which may travel as far as 20
miles) are found in great clouds and may sti ===================================
PASSAGE ONE
Most people think that mosquitos are found
only in tropical areas. While it is true that for
years the presence of these pests made it difficult
for Emode for a shorter
section of the passage with the question below. **
DIRECTIONS: Each passage is followed by a set of
questions. Read the passage and answer the
questions based on what is STATED or IMPLIED in
the passage.
nue to the next question.Press the
LEFT arrow key<-if you wish to review previous
questions.**& ** Pressing^Rallows you to enter theREAD MORE
mode to see a longer excerpt of the passage. Press
^Sto return to theSEE QUESTION
25 Questions
3 Passages
DIRECTIONS:Read each question carefully.From
among the answer choices given, select the answer
that is BEST.**Type the letter corresponding to
your choice.Press the RIGHT arrow key->to begin
and to contiPiZtPy[u P\0vP ^Pv}^e w}^fx}^Sg x }^iPCy}^i0y}^jP=z}^kE{
Section 5:READING COMPREHENSION
30 Minutes Se
0meu@kne n e
ioe0p em@Xpe0pe%PNqe] +rP\0rPIU s PW OsPW@sP
YPnt
.25. (A) This question required careful reading;
according to the last sentence of the passage, like
poles REPEL while unlike poles ATTRACT.lE) The passage briefly gives a general overview of
magnets, from their origin to their properties. If you
answered number 20 correctly (stating that this passage
would be found in an encyclopedia), you should have
answered this question correctly as well22. (E) This answer is specifically stated in the last
sentence of the second paragraph.23. (C) The second-to-last sentence of the first
paragraph states that because of the shifting magnetic
field of the earth, the magnetic declination varies.24. (ion to some of
the more salient points about magnets and magnetism. It
is much too general and simplistic to be found in a
physics or chemistry book, and has little to do with
history.21. (B) This answer is specifically stated in the
second paragraph. individuals, so he feels that the allotted parking
will be sufficient for his needs.
The second studio is located at 920 Skipland
Avenue, between two high-rise office buildings. The
buildings block out the sun at all hours of th of the building. Because there is a
Mercedes-Benz dealership right across the street,
parking is limited. However, for the past few
years Mr. Ewing has worked with a very small staff
and his work has been limited to photographs of
se of up to one year.
There are three studios that the agent takes
Mr. Ewing to view. The first, at 825 Skipland
Avenue, rents for $1,600 a month and has one large
window facing the street. However, it is on the
second floorheights. He'd also like the
studio to have large windows that provide natural
lighting for the taking of his photographs. He
will be able to pay any reasonable rent (rent on
his last studio was $1,500 a month) and will sign
a lea of the month.
Mr. Ewing contacts a rental agent, stressing
that he wants to remain in the same part of town,
and, if at all possible, on the same street. He
must have a studio that is on the first floor, as
he has a fear of ing's studio at a
prestigious Skipland Avenue address burned down.
Because he has contractual obligations that he
feels he must meet to prevent severe injury to his
reputation, Mr. Ewing must rent a new studio no
later than the endon that is not immediately relevant in
making the decision.
=====================================
Edward Ewing is a professional photographer
whose photographs of fashionable women are world
renowned. Last week, Mr. Ewis related to a Major
Factor;
(D) if the item is an ASSUMPTION; that is, a
relevant projection or supposition used by the
decision maker in making the decision;
(E) if the item is an UNIMPORTANT ISSUE; that is, a
considerati a MAJOR FACTOR; that is, a
consideration mentioned in the passage that is
fundamental in making the decision;
(C) if the item is a MINOR FACTOR; that is, a
consideration that is of secondary importance in
making the decision and IRECTIONS: The numbered items refer to the
passage. Evaluate each item separately and choose
for PASSAGE ONE
(A) if the item is an OBJECTIVE; that is, a goal,
outcome, or result sought by the decision maker;
(B) if the item isious
questions.**V ** Pressing^Rallows you to enter theREAD MORE
mode to see a longer excerpt of the passage. Press
^Sto return to theSEE QUESTIONmode for a shorter
section of the passage with the question below. **
D
among the answer choices given, select the answer
that is BEST.**Type the letter corresponding to
your choice.Press the RIGHT arrow key->to begin
and to continue to the next question.Press the
LEFT arrow key<-if you wish to review prevV&j~+7Vj0(+7Vj +7V;k-+7Vk +7Vk0+7V;lP;+7
Section 1:ANALYSIS OF SITUATIONS
30 Minutes
35 Questions
2 Passages
DIRECTIONS:Read each item carefully.From+7/ r+7PTs+7s+7@0yt+7VfPsu+7V$g@%v+7Vg@>w+7Vgw+7Vghx+7VhPvy+7Vi0Dz+7V:i0z+7Vi|+7Vi |+7 z#*6GP*6 N*60*6*6e@*6@IU*6FPl*6 m*609n+7/Po+7u o+7Pp+7Pyq
payments and
taxes would be astronomical.
Ronald considers the option of taking an equal
partner. The partner would bring money to the
enterprise and would look after the business
details, freeing Ronald to concentrate on his The business manager tells Ronald that to implement
this plan would require hiring many workers at a
cost Ronald cannot currently afford. The
accountant especially dislikes the idea of hiring a
great many people, as the insurance ntrol is to break the company up
into small units, each with a specific function,
such as design, purchasing or coordination. Ronald
would be consulted only at the beginning and end of
the project, when there are decisions to be made.
feels that he
must be able to assure his clients that no design
is adopted without his personal approval and no
fabric or furniture selected without his having
examined it personally. Ronald feels that the best
way to keep this coons, seeing their built-from-scratch
businesses purchased by conglomerates run by
strangers. Incorporation also entails considerable
legal fees.
Ronald wants to maintain full artistic and
creative control of his company. He in a large loan, which he
desperately needs for building a special designer
showroom. However, Ronald fears that he might have
an experience like those of several of his friends
who incorporated and lost control of their
corporatihead of a
corporation, he would have no personal liability;
only the assets of the corporation, not of Ronald
himself, could be taken in case of a lawsuit.
Ronald would also have substantial tax advantages.
He would be able to obtainess. He
meets with his accountant and business manager to
discuss the ways he may do so.
Both the accountant and the business manager
suggest to Ronald that he incorporate his business.
Ronald is aware of the fact that, as interior
decorator in San Diego, with clients who rely
on his personal touch to create just the right
ambiance for their homes. Because Ronald
anticipates continued growth in the demand for his
services, he wants to expand his bustem is an UNIMPORTANT ISSUE; that is, a
consideration that is not immediately relevant in
making the decision.
=======================================
PASSAGE TWO
Ronald George has become a successful of secondary importance in
making the decision and is related to a Major
Factor;
(D) if the item is an ASSUMPTION; that is, a
relevant projection or supposition used by the
decision maker in making the decision;
(E) if the it sought by the decision maker;
(B) if the item is a MAJOR FACTOR; that is, a
consideration mentioned in the passage that is
fundamental in making the decision;
(C) if the item is a MINOR FACTOR; that is, a
consideration that is tion of the passage with the question below. **
DIRECTIONS: The numbered items refer to the
passage. Evaluate each item separately and choose
for PASSAGE TWO
(A) if the item is an OBJECTIVE; that is, a goal,
outcome, or resulbe commissioned to photograph large
groups of models), this is an ASSUMPTION.[ ** Pressing^Rallows you to enter theREAD MORE
mode to see a longer excerpt of the passage. Press
^Sto return to theSEE QUESTIONmode for a shorter
sec=
/7. (D) According to the third paragraph, Mr. Ewing FEELS
that the parking at the first site will be sufficient even
though it is limited. Because he does not know this for
certain (he may eventually want to increase the size of
his staff, or he may
a blue.
(2)There are 6 black books on the shelf.
(A) (B) (C) (D) (E)11.In which quadrant of a coordinate graph is point
(x,y) located?
(1)x is positive; y is negative.
(2)x > y
(A) (B) (C) (D) (E)12.Given Angles L, M, and N,10.Books are placed on a shelf by the color of their
bindings.Each binding is brown, blue, or black and the
books are arranged in that order with colors alternating.
How many books are there?
(1)The shelf begins with a brown book and ends
with of items
that cost $500.00 or more.
(A) (B) (C) (D) (E)9.How long does it take Letitia and Ozzie to do a job
working together?
(1)Letitia works twice as fast as Ozzie.
(2)Ozzie works twice as long as Letitia.
(A) (B) (C) (D) (E)= ab + (b - a) squared
(2)a + b = 9
(A) (B) (C) (D) (E)8.How much money does Granville make in commissions?
(1)He makes a 12.5% commission on all sales of items
that cost less than $500.00.
(2)He makes a 25% commission on all sales age of 19 integers is x.Solve for x.
(1)The mean is 35.
(2)The integers are evenly spaced by 5's.
(A) (B) (C) (D) (E)6.Which is greater, x or y?
(1)0 < x/y < 1
(2)x > 0
(A) (B) (C) (D) (E)7.What is 4 # 5?
(1)a # b ank supplies Terry with 16 gallons of water.
(A) (B) (C) (D) (E)3.Is b positive?
(1)a + b = 0
(2)a * b = 0
(A) (B) (C) (D) (E)4.Is "a" cubed less than 3a?
(1)0 < a < 1
(2).5a = .25
(A) (B) (C) (D) (E)5.The averre sufficient to answer the question.1.What is the value of x?
(1)x squared - 36 = 13
(2)x > 0
(A) (B) (C) (D) (E)2.How much money will Terry pay Frank?
(1)Terry will give Frank $.25 for every cup of water
he supplies.
(2)Frtatements (1) and (2) together are
sufficient to answer the question, but neither
statement alone is sufficient;
(D) if either statement alone is sufficient to
answer the question;
(E) if neither statement alone nor both statements
together ahe data are
SUFFICIENT for answering the question.Choose:
(A) if statement (1) alone is sufficient but
statement (2) alone is not sufficient;
(B) if statement (2) alone is sufficient but
statement (1) alone is not sufficient;
(C) if both sindicates the positive square root of the number
that follows.
DIRECTIONS:Each problem consists of a question
and two statements.Using the data given in the
problem plus your own mathematical and background
knowledge, determine whether td to the information given in
the question, but not necessarily to the additional
data given in statements (1) and (2).All figures
lie in a plane unless the problem states or
indicates otherwise.
NOTE:The word "radical" in these questions
if you wish
to review previous questions. **'The following information may be useful:
SYMBOLS
*multiplied by ||parallel to
>is greater than<is less than
NOTE:Any figure accompanying a problem in this
section will corresponstions
DIRECTIONS:Read and solve each problem carefully.
Choose the best answer and type the letter
corresponding to your choice.** Press the RIGHT
arrow key->to begin and to continue to the next
question.Press the LEFT arrow key<-+7,Pb+7,9@c+7,50d+7, 0f+7, 0i+7,Pj+7,u0k+7,@l+7, n+7,-0o+7,P7q+7Section 2:DATA SUFFICIENCY
30 Minutes
25 Que ,"0*6,0*6,C 0*6, @*6, IU*6,
0|V*6,
HX*6,>PUY*6,< PRZ*6, 0[+7,K]+7,0_+7,0`+7,@ a
ll employees are men and what portion
of all employees are women, you cannot find the "whole"
and cannot answer the question.16. (D) Use statement one to find that there were 200
questions of which he got 25, or 12.5%, correct. Use
statement two to det that x must
be +3, since only that number can be cubed to yield 27.15. (E) To find a percent, you need a part and a whole.
You are told what percent of the MEN and what percent of
the WOMEN arrived late; however, since you do not know
what portion of a the number in one group. If there are 56
non-skiers, there must be 40 skiers (40:56 = 5:7).14. (B) Statement one tells you that x could be either
+3 or -3, since either of these values could be multiplied
by itself to yield 9. Statement two tells youN) = L, or 180
degrees - 90 degrees = L. Angle L must equal 90 degrees.13. (C) To find the total, you must know BOTH the ratio
of skiers to non-skiers AND the number in one of the two
groups. Statement one tells you the ratio; statement two
tells you 90 degrees. Alone that does not tell you what the
measure of Angle L is. If L, M, and N are supplementary
they sum up to 180 degrees; alone that does not tell you
the measure of Angle L. Using both statements together,
you know that 180 degrees - (M +
gives you the information, allowing you to determine that
the point would be in quadrant IV. Statement two alone
is not sufficient; x could be larger than y in three out
of the four quadrants.12. (C) If Angles M and N are complementary, they sum up
toook
and have 6 black books) and then 2 more books (in order
to finish with a blue book).11. (A) You must know whether x is positive or negative
AND whether y is positive or negative in order to
determine which quadrant this point is in. Statement oneo alone is not sufficient since you
don't know the color of the first and last books on the
shelf: there could be from 16 to 20 books. Using the
statements together, you know that there are 6 groups of
brown, blue, black (in order to begin with a brown bhey spend working; you have no
information to answer the question.
10. (C) Statement one alone tells you that there could
be 2 books (1 brown and 1 blue) or 5 books (brown, blue,
black, brown, blue) or 8 books or any number increasing
by 3. Statement twe an answer.9. (E) You have no solid information on time, only on
the ratio of work. If Letitia works twice as fast as
Ozzie but Ozzie works twice as long as Letitia, they end
up doing the same amount of work. However, the question
asks for the TIME t not necessary.8. (E) To find the total amount of commission, you must
know the percent of commission and the total amount of
sales on which the commission is earned. You are given
the percentages, but not the total amount of sales.
You cannot determiny.7. (A) Use statement one, substituting the 4 for the "a"
and the 5 for the "b". Do NOT actually take the time to
work this out; simply see that the data are sufficient to
do so. Statement two alone is wholly irrelevant; adding
it to statement one isx and y are
negative, such as -3/-4. Such a fraction would still be
greater than 0 and less than 1, but x would be GREATER
than y. Statement two tells you that x is positive.
Together the statements say that both numbers are
positive and x is less than nce to answer the question
using statement two alone. 6. (C) If x/y is less than 1 but greater than 0, it
must be a fraction. To have a fraction of less than 1,
the numerator (here, the x) must be smaller than the
denominator (here, the y) UNLESS both =5. (A) Since the MEAN of a group of numbers is the same
as the AVERAGE of those numbers, statement one alone is
sufficient. Statement two is not sufficient; you would
need to know the value of at least one of the terms and
its position in the seque
litical candidates did not know they
were on television, so they madecomments that were
rather risque.
(A), so they made
(B); so they made
(C), they made
(D), they make
(E), they are making 9.Performing before her peers for the fir other activities,the more high
his score will be.
(A)the more high his score will be.
(B)the higher his score will be.
(C)his score will be higher.
(D)his score will heighten.
(E)the more higher his score will be.8.Because the poeatest constitutional lawyers
of all time.
(A)considered one
(B)was considered one
(C)is being considered as one
(D)considering one
(E)considered as being one7.If a student continues to study daily, eschewing
all temptations to dor centuries.
(A)was aware that their name
(B)were aware that their name
(C)were aware that her name
(D)were aware that her names
(E)was aware that her name6.A black man who died in 1950, Charles H. Houston,
considered oneof the gr proofs4. Likethe late Dr. Martin Luther King, Jr., Andrew
Young is a respected black leader.
(A)Like
(B)As
(C)Similar to
(D)In addition to
(E)As well as5.Neither Sappho nor Anactoriawas aware that their
namewould be known foscientists have collectedis
conclusive and provesthat females have a greater
tolerance for pain than do males.
(A)is conclusive and proves
(B)are conclusive and proves
(C)are conclusive and prove
(D)conclusively proves
(E)conclusively)the more rapidly the rise2.Cynthia installed a new bay window in her housewhich
then broke.
(A)which then broke.
(B)and it broke.
(C); and it broke.
(D); the window broke.
(E); and then the window broke.3.The data that the --------------------------+1.The more the inflation rate soars,the more rapid
the raisein the cost of living will be.
(A)the more rapid the raise
(B)the more rapidly the raise
(C)more rapidly will raise
(D)the more rapid the rise
(Eame century,is a|
| wonderful thing.|
|0|
|(A)is a wonderful thing.|
|(B)are a wonderful thing.|
|(C)are wonderful thing.|
| (D) are wonderful things.|
|(E)are wonderfuls things.|
+----------------------t manner.Adhere to the
meaning of the original sentence.Type the letter
corresponding to your choice.
EXAMPLE:
+------------------------------------------------+
|Both the radio and the television, developed|
|separately but in the sswer (A) is identical to
the highlighted portion and should be chosen if
you think the sentence does not need revision.
Choose the answer that produces the most effective
sentence, one that uses standard written English
in a concise and correcn.Press the
LEFT arrow key<-if you wish to review previous
questions. **DIRECTIONS:Each of the following sentences is
either partially or wholly highlighted.Following
each sentence are five ways of stating the
highlighted portion.Anstions
DIRECTIONS: Read each question carefully.From
among the answer choices given, select the answer
that is BEST.**Type the letter corresponding to
your choice.Press the RIGHT arrow key->to begin
and to continue to the next questioMJ@]bM?0bM<
cM dM@eM0fM $gM%0gMi
PhM
@iMIU 0j
Section 3:WRITING ABILITY
30 Minutes
25 Que M
@)VM@WM0WM
XM
PkYM fZM0[M
0[M0\ML ]M10^M
0W_M@1`M
@ua
n, WITH, not the
subject of the sentence. Since the subject is singular,
the singular verb, WAS, is required. THROUGHOUT is one
word, not two.17. (B) Chanel and Colette were people; people are
referred to by WHO, WHOM or THAT. WHO is correct here
becno such word
as LIEING.15. (D) BEGUN is the past participle and requires the
auxiliary verb, HAD. Choice (E) has the wrong tense for
the rest of the sentence.16. (C) The subject is Moshe Dayan, one person. Golda
Meir is the object of the prepositio serves as
the object of a verb or preposition.14. (D) LYING is a form of TO LIE, which requires no
object (you don't "lie something"). LAYING is a form of
TO LAY, which requires an object (you do "lay something,"
as in "lay the book down"). There is . Keeping the original tense and
number of the verb makes the sentence make sense. Change
WHO to WHOM, because the word is the object of the verb
TO CALL. WHO is subjective and serves as the subject of a
sentence or clause, while WHOM is objective andGS GOSPEL SONGS).12. (C) AMONG and AMONGST are never used to compare two
items or persons. Since the sentence compares the wits of
Safire with those of Newman, BETWEEN is necessary.
Choices (D) and (E) make the sentence unclear.13. (D) Use DIDN'Tin "-er"). FORMER and
BETTER are both required. Choice (E) changes the meaning
of the sentence.11. (C) IT refers to specific nouns; SO refers to verbs
and verb phrases. SO is required here because the world
in the place refers to a verb phrase (SINction of the phrase.
The actress was performing; therefore, THE ACTRESS must
begin the clause. Choice (E) has an incorrect verb (it
should be HAD FORGOTTEN).10. (B) You are only comparing two items and must use the
comparative form (which often ends y be used. Keep the verb
MADE; choosing (D) or (E) would change the tense and make
the sentence incorrect.9. (C) The sentence begins with a participial phrase.
The noun that follows a participial phrase must name the
person or thing that is doing the a
thought without making a faulty comparison. In choice
(D), HEIGHTEN is incorrect. To HEIGHTEN is to intensify,
as in the phrase "to heighten the suspense in a movie."8. (C) The BECAUSE makes the SO superfluous; either one
or the other but not both ma, HER, must be singular as well.6. (B) The original sentence is a FRAGMENT, an incomplete
sentence. Adding the verb WAS makes the sentence whole.
Choice (C) changes the meaning of the sentence.7. (C) Choice (C) correctly and succinctly expresses thed change the
meaning of the sentence.5. (E) With NEITHER/NOR, whatever follows the NOR
determines the number of the verb. Since one woman,
Anactoria, follows the NOR, the verb must be singular,
WAS. Since the subject and verb are singular, the
pronounal
verb and one singular; both verbs must be plural.
"Proofs" is not the correct plural form of "to prove."4. (A) LIKE is correctly used here. LIKE compares two
persons or things; AS compares two situations. The
remaining answer choices are awkward anif the house,
rather than the window, broke. You need to repeat
WINDOW to make the sentence clear. Using a semicolon
eliminates the need for AND.3. (C) DATA is plural and requires a plural verb (the
singular form is DATUM). Note that (B) has one plursed incorrectly in this
sentence; it should be used only to mean an increase in a
worker's salary. Instead, the noun RISE should be used
here. RAPID, the adjective, is required, since it
modifies the noun RISE.2. (D) The original sentence sounds as =25.Proctoring exams all dayarea very boring way to
spend a Saturday.
(A)are
(B)is
(C)were
(D)was
(E)should be
STOP!
IF TIME REMAINS, YOU MAY GO THROUGH THIS
SECTION AGAIN TO CHECK YOUR WORK.1. (D) The noun RAISE is u
ecause the earth's
magnetic field shifts constantly). The aclinic
line is the place on earth where the attraction
of the north and south magnetic poles is equal.
The area in which the magnet attracts is
called the magnetic fipasses seldom
point exactly north. The angle between the
directions of the north geographic pole and the
north magnetic pole is called the magnetic
declination or variation, and changes from place
to place and from year to year (b magnet itself, that people understood why and how
magnets (especially those in compasses) work.
The north magnetic pole and the geographical
pole are not the same spot; they are about 1,054
miles apart. Therefore, magnetic com PASSAGE THREE
Magnets were first discovered in Asia Minor,
in an ancient country called Magnesia. However,
it wasn't until 1600, when Dr. Gilbert (the "father
of magnetism") showed that the earth was a large
th the question below. **
DIRECTIONS: Each passage is followed by a set of
questions. Read the passage and answer the
questions based on what is STATED or IMPLIED in
the passage.
===================================
stic
(C)humorous
(D)critical
(E)unemotional& ** Pressing^Rallows you to enter theREAD MORE
mode to see a longer excerpt of the passage. Press
^Sto return to theSEE QUESTIONmode for a shorter
section of the passage wie
(A)he was a military leader
(B)he had a popular wife
(C)he was not labeled an intellectual
(D)he was not as old as his opponent
(E)he was not in favor of a military build-up18.The tone of the passage is
(A)cynical
(B)sarca get?
(C)In what year did Aaron Burr run for
president?
(D)Who was Stevenson's vice-presidential
candidate in 1952?
(E)None of the above17.You may infer that the author felt the voters found
General Eisenhower "less threatening" becaus(E)Winning isn't everything; it's the only thing.
16.The passage contains information that would answer
which of the following questions?
(A)Who won the 1824 presidential election?
(B)What percentage of the popular vote did
General McClellanilling Alexander Hamilton in a duel15.The author would most likely disagree with which of
the following statements?
(A)All the world loves an underdog.
(B)To the victor go the spoils.
(C)Winner take all.
(D)Second best is never best.
ed for
(A)losing a major battle in the Revolutionary War
(B)instigating the Electoral College method of
appointing a president
(C)being the vice-president of Thomas Jefferson
(D)betraying his country and being tried for
treason
(E)kwere unaware of the important issues
(C)had been tricked into voting for the less
qualified candidate
(D)were wary of candidates who were too
scholarly
(E)were generally apathetic 14.According to the passage, Aaron Burr is most
remembere of the Whig party?
(A)Adlai Stevenson
(B)Henry Clay
(C)George McClellan
(D)Aaron Burr
(E)None of the above 13.The author, in his discussion of Stevenson's loss,
implies that voters at that time
(A)distrusted the military
(B)r the office
of president.
(D)He was the first general to be elected president
of the United States.
(E)He was the only man to win a majority vote yet
not gain the presidency.12.Which presidential candidate mentioned was a
representativS=&11.According to the passage, what distinction did
McClellan have?
(A)He was the top general in the Civil War.
(B)He was the only Northern general to win a battle
in the first year of the Civil War.
(C)He was the first general to run fo
itos?
(A)Out of sight, out of mind.
(B)The female is deadlier than the male.
(C)Good things come in small packages.
(D)Do unto others as you would have them do
unto you.
(E)Waste not, want not.
5.A difference between male and femaler use of insecticides
and new technology
(D)is not as harmful as their presence in arctic
areas
(E)is a myth; mosquitos have been eradicated in
those areas4.Which of the following sayings would the author be
most likely to apply to mosqu of the above
(E)None of the above
3.The author feels that the presence of mosquitos in
tropical areas
(A)delayed the habitation of those areas by humans
(B)caused diseases that made those areas inhabitable
(C)may be eradicated with propriticize current methods for the eradication
of mosquitos
(E)explain the means by which certain diseases
are spread2.According to the passage, in which arctic regions may
mosquitos be found?
(A)Siberia
(B)Canada
(C)Alaska
(D)All #End of Passage# 1.The primary purpose of the author is to
(A)discuss the mating and breeding of mosquitos
(B)analyze the various classes of mosquitos and
their characteristics
(C)debunk common myths about mosquitos
(D)ciseta), only one
spreads yellow fever: the Aedes aegypti (which is
totally dependent on man). Other types of
mosquitos carry different diseases, such as malaria
and elephantiasis (also known as filariasis).
ites that plague humans and transfer diseases
come from the female mosquitos, who are much
stronger than the males and generally live longer
as well.
Of the five types of mosquitos (Anopheles,
Culex, Psorophora, Aedes, and Culsting even
large animals to death.
Not all mosquitos sting or bite. An adult
male has a mouth lacking parts to suck blood.
Therefore, he does not bother humans or other
animals, but sucks fruit or leaves. The mosquito
buman beings to inhabit certain tropical areas,
mosquitos are also found in great numbers in the
arctic regions of Alaska, Canada, and Siberia.
Swarms of mosquitos (which may travel as far as 20
miles) are found in great clouds and may ===================================
PASSAGE ONE
Most people think that mosquitos are found
only in tropical areas. While it is true that for
years the presence of these pests made it difficult
for hmode for a shorter
section of the passage with the question below. **
DIRECTIONS: Each passage is followed by a set of
questions. Read the passage and answer the
questions based on what is STATED or IMPLIED in
the passage.
nue to the next question.Press the
LEFT arrow key<-if you wish to review previous
questions.**& ** Pressing^Rallows you to enter theREAD MORE
mode to see a longer excerpt of the passage. Press
^Sto return to theSEE QUESTION
25 Questions
3 Passages
DIRECTIONS:Read each question carefully.From
among the answer choices given, select the answer
that is BEST.**Type the letter corresponding to
your choice.Press the RIGHT arrow key->to begin
and to contiNgZtNw[u N\0vN^Pv{^e w{^fx{^Qg x {^hPAy{^i0y{^jP;z{^kC{
Section 5:READING COMPREHENSION
30 Minutes Qe
0mex@ine#ne
goe0p ek@Vpe
0pe#PLqe[ )rNZ0rNIU s NW MsNW@sNYPlt
ause the earth's
magnetic field shifts constantly). The aclinic
line is the place on earth where the attraction
of the north and south magnetic poles is equal.
The area in which the magnet attracts is
called the magnetic fielsses seldom
point exactly north. The angle between the
directions of the north geographic pole and the
north magnetic pole is called the magnetic
declination or variation, and changes from place
to place and from year to year (bec magnet itself, that people understood why and how
magnets (especially those in compasses) work.
The north magnetic pole and the geographical
pole are not the same spot; they are about 1,054
miles apart. Therefore, magnetic compa PASSAGE THREE
Magnets were first discovered in Asia Minor,
in an ancient country called Magnesia. However,
it wasn't until 1600, when Dr. Gilbert (the "father
of magnetism") showed that the earth was a large
the question below. **
DIRECTIONS: Each passage is followed by a set of
questions. Read the passage and answer the
questions based on what is STATED or IMPLIED in
the passage.
===================================
ic
(C)humorous
(D)critical
(E)unemotional& ** Pressing^Rallows you to enter theREAD MORE
mode to see a longer excerpt of the passage. Press
^Sto return to theSEE QUESTIONmode for a shorter
section of the passage with(A)he was a military leader
(B)he had a popular wife
(C)he was not labeled an intellectual
(D)he was not as old as his opponent
(E)he was not in favor of a military build-up18.The tone of the passage is
(A)cynical
(B)sarcastet?
(C)In what year did Aaron Burr run for
president?
(D)Who was Stevenson's vice-presidential
candidate in 1952?
(E)None of the above17.You may infer that the author felt the voters found
General Eisenhower "less threatening" because
)Winning isn't everything; it's the only thing.
16.The passage contains information that would answer
which of the following questions?
(A)Who won the 1824 presidential election?
(B)What percentage of the popular vote did
General McClellan gling Alexander Hamilton in a duel15.The author would most likely disagree with which of
the following statements?
(A)All the world loves an underdog.
(B)To the victor go the spoils.
(C)Winner take all.
(D)Second best is never best.
(E for
(A)losing a major battle in the Revolutionary War
(B)instigating the Electoral College method of
appointing a president
(C)being the vice-president of Thomas Jefferson
(D)betraying his country and being tried for
treason
(E)kilere unaware of the important issues
(C)had been tricked into voting for the less
qualified candidate
(D)were wary of candidates who were too
scholarly
(E)were generally apathetic 14.According to the passage, Aaron Burr is most
rememberedof the Whig party?
(A)Adlai Stevenson
(B)Henry Clay
(C)George McClellan
(D)Aaron Burr
(E)None of the above 13.The author, in his discussion of Stevenson's loss,
implies that voters at that time
(A)distrusted the military
(B)wr the office
of president.
(D)He was the first general to be elected president
of the United States.
(E)He was the only man to win a majority vote yet
not gain the presidency.12.Which presidential candidate mentioned was a
representative Q=&11.According to the passage, what distinction did
McClellan have?
(A)He was the top general in the Civil War.
(B)He was the only Northern general to win a battle
in the first year of the Civil War.
(C)He was the first general to run fo
litical candidates did not know they
were on television, so they madecomments that were
rather risque.
(A), so they made
(B); so they made
(C), they made
(D), they make
(E), they are making 9.Performing before her peers for the fir other activities,the more high
his score will be.
(A)the more high his score will be.
(B)the higher his score will be.
(C)his score will be higher.
(D)his score will heighten.
(E)the more higher his score will be.8.Because the poeatest constitutional lawyers
of all time.
(A)considered one
(B)was considered one
(C)is being considered as one
(D)considering one
(E)considered as being one7.If a student continues to study daily, eschewing
all temptations to dor centuries.
(A)was aware that their name
(B)were aware that their name
(C)were aware that her name
(D)were aware that her names
(E)was aware that her name6.A black man who died in 1950, Charles H. Houston,
considered oneof the gr proofs4. Likethe late Dr. Martin Luther King, Jr., Andrew
Young is a respected black leader.
(A)Like
(B)As
(C)Similar to
(D)In addition to
(E)As well as5.Neither Sappho nor Anactoriawas aware that their
namewould be known foscientists have collectedis
conclusive and provesthat females have a greater
tolerance for pain than do males.
(A)is conclusive and proves
(B)are conclusive and proves
(C)are conclusive and prove
(D)conclusively proves
(E)conclusively)the more rapidly the rise2.Cynthia installed a new bay window in her housewhich
then broke.
(A)which then broke.
(B)and it broke.
(C); and it broke.
(D); the window broke.
(E); and then the window broke.3.The data that the --------------------------+1.The more the inflation rate soars,the more rapid
the raisein the cost of living will be.
(A)the more rapid the raise
(B)the more rapidly the raise
(C)more rapidly will raise
(D)the more rapid the rise
(Eame century,is a|
| wonderful thing.|
|0|
|(A)is a wonderful thing.|
|(B)are a wonderful thing.|
|(C)are wonderful thing.|
| (D) are wonderful things.|
|(E)are wonderfuls things.|
+----------------------t manner.Adhere to the
meaning of the original sentence.Type the letter
corresponding to your choice.
EXAMPLE:
+------------------------------------------------+
|Both the radio and the television, developed|
|separately but in the sswer (A) is identical to
the highlighted portion and should be chosen if
you think the sentence does not need revision.
Choose the answer that produces the most effective
sentence, one that uses standard written English
in a concise and correcn.Press the
LEFT arrow key<-if you wish to review previous
questions. **DIRECTIONS:Each of the following sentences is
either partially or wholly highlighted.Following
each sentence are five ways of stating the
highlighted portion.Anstions
DIRECTIONS: Read each question carefully.From
among the answer choices given, select the answer
that is BEST.**Type the letter corresponding to
your choice.Press the RIGHT arrow key->to begin
and to continue to the next questioMJ@]bM?0bM<
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Section 3:WRITING ABILITY
30 Minutes
25 Que M
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n, WITH, not the
subject of the sentence. Since the subject is singular,
the singular verb, WAS, is required. THROUGHOUT is one
word, not two.17. (B) Chanel and Colette were people; people are
referred to by WHO, WHOM or THAT. WHO is correct here
becno such word
as LIEING.15. (D) BEGUN is the past participle and requires the
auxiliary verb, HAD. Choice (E) has the wrong tense for
the rest of the sentence.16. (C) The subject is Moshe Dayan, one person. Golda
Meir is the object of the prepositio serves as
the object of a verb or preposition.14. (D) LYING is a form of TO LIE, which requires no
object (you don't "lie something"). LAYING is a form of
TO LAY, which requires an object (you do "lay something,"
as in "lay the book down"). There is . Keeping the original tense and
number of the verb makes the sentence make sense. Change
WHO to WHOM, because the word is the object of the verb
TO CALL. WHO is subjective and serves as the subject of a
sentence or clause, while WHOM is objective andGS GOSPEL SONGS).12. (C) AMONG and AMONGST are never used to compare two
items or persons. Since the sentence compares the wits of
Safire with those of Newman, BETWEEN is necessary.
Choices (D) and (E) make the sentence unclear.13. (D) Use DIDN'Tin "-er"). FORMER and
BETTER are both required. Choice (E) changes the meaning
of the sentence.11. (C) IT refers to specific nouns; SO refers to verbs
and verb phrases. SO is required here because the world
in the place refers to a verb phrase (SINction of the phrase.
The actress was performing; therefore, THE ACTRESS must
begin the clause. Choice (E) has an incorrect verb (it
should be HAD FORGOTTEN).10. (B) You are only comparing two items and must use the
comparative form (which often ends y be used. Keep the verb
MADE; choosing (D) or (E) would change the tense and make
the sentence incorrect.9. (C) The sentence begins with a participial phrase.
The noun that follows a participial phrase must name the
person or thing that is doing the a
thought without making a faulty comparison. In choice
(D), HEIGHTEN is incorrect. To HEIGHTEN is to intensify,
as in the phrase "to heighten the suspense in a movie."8. (C) The BECAUSE makes the SO superfluous; either one
or the other but not both ma, HER, must be singular as well.6. (B) The original sentence is a FRAGMENT, an incomplete
sentence. Adding the verb WAS makes the sentence whole.
Choice (C) changes the meaning of the sentence.7. (C) Choice (C) correctly and succinctly expresses thed change the
meaning of the sentence.5. (E) With NEITHER/NOR, whatever follows the NOR
determines the number of the verb. Since one woman,
Anactoria, follows the NOR, the verb must be singular,
WAS. Since the subject and verb are singular, the
pronounal
verb and one singular; both verbs must be plural.
"Proofs" is not the correct plural form of "to prove."4. (A) LIKE is correctly used here. LIKE compares two
persons or things; AS compares two situations. The
remaining answer choices are awkward anif the house,
rather than the window, broke. You need to repeat
WINDOW to make the sentence clear. Using a semicolon
eliminates the need for AND.3. (C) DATA is plural and requires a plural verb (the
singular form is DATUM). Note that (B) has one plursed incorrectly in this
sentence; it should be used only to mean an increase in a
worker's salary. Instead, the noun RISE should be used
here. RAPID, the adjective, is required, since it
modifies the noun RISE.2. (D) The original sentence sounds as =25.Proctoring exams all dayarea very boring way to
spend a Saturday.
(A)are
(B)is
(C)were
(D)was
(E)should be
STOP!
IF TIME REMAINS, YOU MAY GO THROUGH THIS
SECTION AGAIN TO CHECK YOUR WORK.1. (D) The noun RAISE is u!!
!!!
! !!!!!!!!!
the smallest
number?
(A)5x
(B)5x - 2
(C)x + 4
(D)x + 2
(E)x/5 10.Our bowling team wins 10 games every month with
30 days, 12 games every month with 31 days, and no games
in a month with fewer than 30 days.How many games will
the t.What is the volume of a cube of edge .7?
(A).77
(B) 7.70
(C).49
(D).343
(E).0343 9.The average of three non-zero whole numbers, each of
which is 2 greater than the preceding number, may be
expressed as which of the following if x isy 7.Last year Professor Ward passed 62% of his students.
This year he flunked 48 students.What was the
percentage decrease in the number of students flunked by
Professor Ward?
(A)14%
(B)77%
(C)90%
(D)100%
(E)Cannot be determined8e
the same route at 3/4 of Ruth's rate of speed.If Ruth
started 15 minutes before Sidney, how long must she wait
at Point B for Sidney to arrive?
(A)15 minutes
(B)30 minutes
(C)45 minutes
(D)60 minutes
(E)she will arrive after Sidnearea to
the perimeter is
(A)r/4r
(B)(r squared)/(r to the fourth power)
(C)(r squared)/4r
(D)(r squared)/4
(E)2r/(r squared)
6.Ruth drove for 3/4 of an hour at 60 miles per hour,
going from Point A to Point B.Her friend Sidney drov(B)radical 66,856,600
(C)8160
(D)47
(E)Cannot be determined4.a + b + c = d.a, b and c are consecutive even
numbers. If d = 60, what is b?
(A)18
(B)19
(C)20
(D)22
(E)545.For a square of side r, the ratio of the IV.Angle 1 = Angle 4 = Angle 6 = Angle 8
V.Angles 5 and 8 are complementary
(A)I only(B)I and II
(C)II and III
(D)II, III and IV
(E)I, II, III, IV, V3.Radical 16 + radical 36 + radical 289 + radical 400 =
(A)radical 741
6
-------/------------ L2
7 / 8
2.For the figure above, which of the following must be
a true statement?
I.Angle 1 + Angle 4 = 180 degrees
II.Angle 1 + Angle 4 + Angle 6 + Angle 7 =
360 degrees
III.180 degrees - Angle 7 = Angle 1
er theSCRATCHPADand^StoSEE QUESTION
again.**
1.9s - 3(s - 4) =
(A)9s squared - 3s - 12
(B)9s squared + 3s - 12
(C)9s squared + 3s + 12
(D)6s - 12
(E)6s + 121 / 2
-----------/-------- L1
3 / 4
L1 || L2/
5 / e appears on both sides of a + or - sign
when the symbol indicates addition or subtraction
(4 + 3 = 7).If the sign appears without a space
(e.g. -4), the symbol indicates whether the number
following it is positive or negative.Press^Wto
ente
problems in this section are drawn as accurately
as possible, they are NOT drawn exactly to scale.
All figures lie in a plane unless the problem
states or indicates otherwise.All numbers used in
this section are real numbers.
** A spac
SYMBOLS
*multiplied by
||is parallel to
>is greater than<is less than
NOTE:The word "radical" in these questions
indicates the positive square root of the number
that follows.
NOTE:Although the figures that accompany thand type the letter
corresponding to your choice.** Press the RIGHT
arrow key->to begin and to continue to the next
question.Press the LEFT arrow key<-if you wish
to review previous questions. **
The following information may be useful:
p
Pg}HPh
}fj}0l
}@"n}1@coSection 4: PROBLEM SOLVING
30 Minutes
20 Questions
DIRECTIONS:Read and solve each problem carefully.
Choose the best answer l5P0IU @oWH 0X 0RY
Z P]@_b
@_O `bc
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