Statement 1 provides only Maria’s time, not Lupe’s, so it is insufficient alone to answer the question.. Since Lupe’s driving time is a critical fact but is missing from both statements,
Trang 138 The author discusses Packer’s thesis
and its flaws in order to
(A) contrast the sensuality of
Rossetti’s poetry with the
relative starkness of her
devotional commentary
(B) reveal the secret to which
Rossetti alludes in “Winter: My
Secret.”
(C) call into question the
authentic-ity of recently discovered letters
written by Rossetti
(D) compare Woolf’s understanding
of Rossetti with a recent, more
enlightened view
(E) provide a foundation for the
author’s own theory about
Rossetti’s life and work
39 Which of the following best expresses
the main idea of the passage?
(A) Newly-discovered evidence
suggests that Rossetti’s works
were misinterpreted by earlier
critics and scholars
(B) Rossetti can be compared to
Shakespeare both in her private
life and in the enduring quality
of her work
(C) Victorian poetry can be properly
interpreted only by considering
the personal life of the
particu-lar poet
(D) The apparent inconsistency
between Rossetti’s personal life
and literary work are explained
by Rossetti’s poems themselves
(E) Rossetti’s artistic integrity
served as a model for later
women poets
40 Everyone agrees that current
licensing requirements for child-care facilities are reasonably necessary to ensure public safety Current licens-ing requirements for handgun ownership are far less stringent than those for operating child-care facili-ties Yet the recent flurry of school shootings by young children using their parents’ handguns shows that handgun ownership poses a signifi-cant potential threat to public safety
The author is arguing that
(A) the recent school shootings would not have occurred were it not for lenient handgun owner-ship laws
(B) parents of young children should not be allowed to own handguns
(C) the legal requirements for obtaining a license for operating
a child-care facility are more stringent than those for hand-gun ownership
(D) unlicensed child care and
unlicensed handgun ownership both pose a potential threat to public safety
(E) it would be reasonable to impose more stringent require-ments for handgun ownership
41 The ancient Greek states boasted
that within their domains word and speech were free
(A) within their domains word and speech were free
(B) within its domain word and speech were free
(C) word and speech were within
Trang 2ANSWER KEYS AND EXPLANATIONS
See Appendix B for score conversion tables to determine your score Be sure to keep a tally of correct and incorrect answers for each test section
Analysis of an Issue—Evaluation and Scoring
Evaluate your Issue-Analysis essay on a scale of 1 to 6 (6 being the highest score) according to the following five criteria:
Does your essay develop a position on the issue through the use of incisive reasons and persuasive examples?
Are your essay’s ideas conveyed clearly and articulately?
Does your essay maintain proper focus on the issue and is it well organized? Does your essay demonstrate proficiency, fluency, and maturity in its use of sen-tence structure, vocabulary, and idiom?
Does your essay demonstrate command of the elements of Standard Written English, including grammar, word usage, spelling, and punctuation?
Trang 3Analysis of an Argument—Evaluation and Scoring
Evaluate your Argument-Analysis essay on a scale of 1 to 6 (6 being the highest score)
according to the following five criteria:
Does your essay identify the key features of the argument and analyze each one in
a thoughtful manner?
Does your essay support each point of its critique with insightful reasons and
examples?
Does your essay develop its ideas in a clear, organized manner, with appropriate
transitions to help connect ideas?
Does your essay demonstrate proficiency, fluency, and maturity in its use of
sen-tence structure, vocabulary, and idiom?
Does your essay demonstrate command of the elements of Standard Written
En-glish, including grammar, word usage, spelling, and punctuation?
The following series of questions, which serve to identify the Argument’s five distinct
problems, will help you evaluate your essay in terms of criteria 1 and 2 To earn a score of 4
or higher, your essay should identify at least three of these problems and, for each one,
provide at least one example or counterexample that supports your critique (Your examples
need not be the same as the ones below.) Identifying and discussing at least four of the
problems would help earn you an even higher score
• Are key characteristics of one group member (Giant Industries) also characteristics
of the group as a whole (all employers in a certain state)? (Perhaps Giant is not
typical of the state’s employers, as a group, with respect to either its financial
strength or the average age of its workforce.)
• Does the term “largest private business” necessarily mean that Giant employs more
workers than any other business in the state? (The smaller the workforce at Giant,
the less likely that Giant is representative of the state’s employers as a group.)
• Doesn’t the prediction’s accuracy require that other future conditions remain
unchanged? (For example, the argument ignores a possible influx of workers from
other states.)
• Would a reduced workforce necessarily result in business failure? (Perhaps
businesses will be more profitable by trimming their workforce.)
Trang 4Quantitative Section
1 B
2 A
3 E
4 A
5 C
6 C
7 B
8 E
9 D
10 B
11 A
12 E
13 A
14 C
15 D
16 C
17 A
18 D
19 E
20 C
21 B
22 D
23 C
24 B
25 C
26 E
27 A
28 D
29 E
30 A
31 C
32 C
33 E
34 D
35 C
36 E
37 B
1 The correct answer is (B) In combining fractions, you can cancel across fractions all
variables except a (in the numerator) and e (in the denominator), leaving a
e • x 5 1.
Then, to isolate x on one side of the equation, multiply both sides by e
a: e
a•
a
e • x 5 1 •
e a
x 5 e a
2 The correct answer is (A) Any one of four distinct groups of three women might be
selected: ABC, ABD, ACD, or BCD The probability that the selections will result in any
particular one of these groupings is 1 in 4, or1
4 Similarly, any one of three distinct pairs
of two men might be selected: XY, XZ, and YZ The probability that the selections will
result in any particular one of these pairs is 1 in 3, or 1
3 To determine the combined probability, multiply one individual probability by the other:1
43
1
35
1
12.
3 The correct answer is (E) The question asks you to compare times Statement (1)
provides only Maria’s time, not Lupe’s, so it is insufficient alone to answer the question Statement (2) compares their driving distances, but it provides no information about Lupe’s driving time Since Lupe’s driving time is a critical fact but is missing from both statements, the correct answer is choice (E)
Trang 54 The correct answer is (A) Apply the formula for determining arithmetic mean (AM
below) or simple average Letting x equal the other number, solve for x:
AM 5 Q 1 x
2
PQ 5 Q 1 x
2
2PQ 5 Q 1 x 2PQ 2 Q 5 x
5 The correct answer is (C) Statement (1) alone provides no information about b and
is therefore insufficient to answer the question Statement (2) alone is also insufficient
because is provides two distinct equations in two variables: a 2 b 5 1 and a 2 b 5 21.
Now consider both statements together Given statement (1), a 5 3, 23 Substituting 3
and 23 for a into each of the two equations that statement (2) suggests yields four
possible values for b: 2, 24, 4, and 22 Since you now know all possible values for a and
b, you can determine the minimum value of |a 1 b| (The answer to the question is 5.)
6 The correct answer is (C) Here’s the sequence up to the 12th second:
7 B 8 W 9 G 10 W 11 R 12 W
Every time you reach a time divisible by 6, the sequence starts over with W and
proceeds: W-B-W-G-W-R 204 is divisible by 6; hence, starting at the 204th second, here
are the light’s movements through the 209th second:
204 W 205 B 206 W
207 G 208 W 209 R
As you can see, the movement from the 208th to the 209th second is from white (W) to
red (R).
7 The correct answer is (B) Statement (1) alone is obviously insufficient to answer the
question Considering statement (2) alone, the factored form of the quadratic expression
x22 6x 1 9 is (x 2 3)(x 2 3) As you can see, the two roots of the equation in statement
(2) are the same The only possible value of x is 3 Thus, statement (2) alone suffices to
answer the question
Trang 68 The correct answer is (E) Substitute 2
3 and 2
2
3 individually for u in the defined
operation b u c 5 u2 2 u:
b2
3c 5
4
92
2
35
4
92
6
95 2
2 9
b 22
3c 5
4
91
2
35
4
91
6
95
10 9 Then add the two results together:
22
91
10
9 5
8 9
9 The correct answer is (D) Extend BE to F (as in the diagram below) m ∠EFD 5
m∠ ABE 5 40° m∠FED must be 110° because a triangle’s angle measures sum to 180°.
Since∠BED and ∠FED are supplementary, m∠BED 5 70°.
10 The correct answer is (B) $54 is 90% of what Kirk collected Express this as an
equation:
54 5 0.90x
540 5 9x
x 5 60
Kirk collected $60 If each paper sells for 40 cents, the number of papers Kirk sold is: 60
0.405
600
4 5 150.
11 The correct answer is (A) Add the two equations:
x 1 y 5 a
x 2 y 5b
Trang 712 The correct answer is (E) Since the figure has 5 sides, the sum of the measures of
the angles is 540°:
180(5 2 2) 5 540
The sum of the measures of the five angles is 540° Set up an equation and then solve
for x:
540 5 x 1 110 1 60 1 120 1 100
540 5 x 1 390
150 5 x
13 The correct answer is (A) The shelter houses d 1 c animals altogether Of these
animals, d are dogs That portion can be expressed as the fraction d
c 1 d.
14 The correct answer is (C) The information in the question establishes the total
contributions of Willot and Tilson counties relative to those of Stanton and Osher
counties Statement (1) provides information about the total crop revenues of Osher
County relative to those of Tilson County, but the statement provides no additional
information about Stanton County’s specific percentage contribution Statement (1)
alone is therefore insufficient to answer the question Based on statement (2) alone,
Tilson County’s nonsubsidized farms must have accounted for 6% of all revenues (18%
2 12%) Accordingly, Stanton County’s nonsubsidized farms must have accounted for
9% of all revenues (The percentages in the leftmost column must total 30.) However,
this information is insufficient to determine Stanton County’s subsidized farm
contribution With statements (1) and (2) together, Osher County’s revenues must total
36% (because statement (2) stipulates that Osher County contributed twice the
revenues of Tilson County, which you now know contributed 18% of all revenues) At
this point, you’ve partially completed the table:
nonsub-sidized farms
sub-sidized farms
Tilson County (6%) 12% (18%)
Osher County 8% (28%) (36%)
Trang 815 The correct answer is (D) Since the smallest circle has a radius of 1, the medium circle
has a radius of 2, and, therefore, the diameter of the large circle must be 6, which makes
its radius 3 The arc of a semicircle is half the circle’s circumference—that is, pr So the
length of the boundary of the shaded region is the sum of the arcs of the three semicircles:
p 1 2p 1 3p 5 6p
16 The correct answer is (C) Statement (1) alone is insufficient because you can make
several possible equations using the integers 0 through 9 Statement (2) alone is insufficient for the same reason Considering statements (1) and (2) together leaves you
with only two possibilities for b n:34or 92 Given that a m 5 b n, you can now answer the question The sum of the four integers is 3 1 4 1 9 1 2, or 18
17 The correct answer is (A) The total rent is D 1 100, which must be divided by the
number of students (M).
18 The correct answer is (D) Start with 2, then 4, then 6, and so forth (positive even
integers), as the value of n Test each value in turn You’ll find that only the numbers in
the following sequence leave a remainder of 1 when divided by 3: {4, 7, 10, } Notice that the numbers increase by 3 in sequence Next, try a few of these numbers as the
value of n in each of the five expressions You’ll find that all but (n 3 2) are divisible
by 3
19 The correct answer is (E) First combine the two terms inside the radical using the
common denominator b2 Then remove perfect squares from the radical:
Îa2
b21
a2
b25Îa21a2
b2 5Î2a2
b2 5
|a|
|b|=2
20 The correct answer is (C) First consider statement (1) alone If a 5 21, then the two
quantities are equal, while if a has any other value less than 0, the two quantities are
unequal Thus, you can easily dismiss statement (1) as insufficient to answer the
question Consider statement (2) alone If 21 , a , 0, then=3
a , a (and the answer to
the question is yes) For example,Î3
21
85 2
1
2, which is less than 2
1
8 But, if 0 , a , 1, then =3
a a (and the answer to the question is no) For example Î3 1
85
1
2, which is greater than 1
8 Thus, statement (2) does not suffice Considering both statements
together, 21 , a , 0 As already noted, under this constraint the answer to the question is always yes.
Trang 921 The correct answer is (B) You can solve the problem by trying each answer choice in
turn Or, you can solve the problem algebraically Let x 5 the number of nickels.
30 2 x 5 the number of quarters Convert both expressions to cents:
5x 5 the value of nickels in cents
750 2 25x 5 the value of quarters in cents
The total of these two expressions is 470 Set up the equation, then solve for x:
5x 1 750 2 25x 5 470
220x 5 2280
x 5 14
22 The correct answer is (D) The area of any triangle equals1
23 base 3 height Using
7 miles as the base of the triangle in this problem, the triangle’s height is the
north-south (vertical) distance from A to an imaginary line extending west from B
Statement (1) explicitly provides the triangle’s height Statement (2) also provides
sufficient information to determine this height
As indicated in the figure above, the triangle’s height is 4 miles (32 1 42 5 52, per the
Pythagorean theorem) Accordingly, either statement alone suffices to determine the
triangle’s area (The area 51
23 7 3 4 5 14.)
23 The correct answer is (C) Neither statement (1) nor (2) alone suffices to answer the
question You still do not know what portion of the remaining computer systems is
equipped only with scanners However, both statements together establish that 55%
(100% 2 20% 2 25%) are equipped only with scanners
24 The correct answer is (B) To answer the question, you need to compare Daniel’s rate
of work with that of Carl and Todd working together Statement (1) provides Carl’s rate,
but not Todd’s; therefore, statement (1) alone is insufficient to answer the question
Trang 1025 The correct answer is (C) By definition, the longest possible chord of a circle is equal
in length to the circle’s diameter Thus, the coordinates of R and S allow you to calculate
the circle’s diameter and, in turn, its area Statements (1) and (2) together suffice to answer the question
26 The correct answer is (E) This problem requires a bit of trial and error Given
statement (1), a bit of experimenting with a few numbers—e.g., AB 5 43 and AB 5 24—quickly reveals that statement (1) alone is insufficient to answer the question: 4 3
3 5 12 (divisible by 4), but BAB (343) is not divisible by 4 2 3 4 5 8 (divisible by 4), and BAB (424) is also divisible by 4 Similarly, given statement (2), substituting a few different value pairs for A and B that satisfy statement (2) quickly reveals that statement (2) alone is insufficient to answer the question 3 1 6 1 3 5 12 (divisible by 4), but 363 (BAB) is not divisible by 4 4 1 0 1 4 5 8 (divisible by 4), and 404 is divisible
by 4 Even considered together, statements (1) and (2) are insufficient to answer the question For example, the number 242 satisfies both statements (1) and (2) but is not divisible by 4, whereas the number 484 satisfies both statements (1) and (2) and is divisible by 4
27 The correct answer is (A) Given statement (1), you can determine the total number
of paperbacks sold: ($0.75)(P) 5 $19.50, or P 5 26 Given that 55 books were sold
altogether, 29 hardback books were sold, and statement (1) alone suffices to answer the question Statement (2) provides no information about the price of either type of book, and therefore alone is insufficient to answer the question
28 The correct answer is (D) The age group that spent the most time per week
watching sports on television was the 19224 year-old group (who spent an average of approximately 6 hours per week watching sports programming) The average hours for all three groups totals approximately 71 (34 1 17 1 20) Of that total, the two groups other than the 19224 age group accounted for 54 hours, or about 76%S54
71Dof the total hours for all three age groups
29 The correct answer is (E) Your task here is to compare the size of the entertainment
portion of the left-hand bar to the combined sizes of the same portion of the other two bars Size up the ratio visually The portion on the first chart is a just a bit larger than the other two combined, isn’t it? So you’re looking for a ratio that’s greater than 1:1 You can rule out answer choices (A) and (B) Approximate the height of each of the three portions:
13218 age group: 25 hours
19224 age group: 5 hours
25230 age group: 10 hours