Tài liệu Master the Gre 2010 - Part 49 ppt

which is greater than the cost of a
case ($17.40) by less than the cost of
one can. Accordingly, Quantity A is
15.
8. The correct answer is (B). To
answer the question, determine the
height of the News (white) portion of
the graph’s right-hand bar.
9. The correct answer is (D).
Together, the News and Sports por-
tions of the middle bar account for
about one-half the bar’s total height.
(They represent 8–9 of 16–17 total
hours.) Conversely, all other pro-
grams (Entertainment and Other)
account for 50 percent of the total as
well.
10. The correct answer is (D). Your
task here is to compare the size of
the entertainment portion of the left
bar to the combined sizes of the same
portion of the other two bars. The
first portion is larger than the other
two combined, So you’re looking for a
ratio that’s greater than 1:1.
Eliminate choices (A) and (B).
Approximate the height of each of
the three portions:
13–18 age group: 25 hours
19–24 age group: 5 hours
25–30 age group: 10 hours

The ratio in question is 25:15, or 5:3.
11. The correct answer is (C). The
ring’s height is equal to its radius. To
determine Quantity A (the surface
area of the outside of the ring), mul-
tiply the ring’s circumference (2pr)
by its height (r):
SA = (2pr)(r)=2pr
2
To determine Quantity B (twice the
ring’s circular area), multiply 2 by
the base’s area: 2pr
2
. As you can see,
the two quantities are equal.
12. The correct answer is (C). The
average (arithmetic mean) of any
two numbers is half their sum.
Regardless of the values of x and y,
Quantity A will always equal
Quantity B:
xy
xy
−
(
)
++
(
)
=

+
11
22
13. The correct answer is (B). There
are six possible sequences, and so
Quantity A =
1
6
. Any of the three
patrons (including the one who is
middle in height) could be first,
second, or third in line; hence
Quantity B =
1
3
.
14. The correct answer is (A). The tax
($1.00) is based on a $9.00 price.
Thus, the tax is
1
9
, which is greater
than 11%. (
1
9
11
99
=
;11%=
11

100
.)
15. The correct answer is (C). 3
26
=
(3
13
)(3
13
), and 9
13
=(3
13
)(3
13
). As you
can see, the two quantities are equal.
16. The correct answer is (E). The
table does not indicate the highest
temperature recorded during April,
and so it is not possible to determine
the range of temperatures for April.
17. The correct answer is (C). You can
express the centered information as
the algebraic form 2n + 5 = 17. Now,
solve for n:2n = 12; n = 6. Find
Quantity A: 3 less than
6
2
is 3 2 3=

0. Find Quantity B: 2 less than
6
3
is
2 2 2=0.
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Practice Test 3 463
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18. The correct answer is (B). The
comparison is easily made by substi-
tuting some simple numbers for p
and q. For example, assume p =1
and q = 2. The ratio of p to (p +1)is
1:2, or
1
2
, while the ratio of q to (q +1)
is 2:3, or
2
3
. As long as 0 , p , q, the
inequality
p
p
q
q+
<

+11
will hold.
19. The correct answer is (D).
Standard deviation measures the
dispersion of numbers around the
mean (simple average) of those
numbers. The greater the dispersion,
the greater the standard deviation.
In both sets, the range is 3. If x =
1
2
,
the dispersions are the same
(Quantity A = Quantity B) because
the means would be the same. Oth-
erwise, the dispersions—and the two
quantities—differ from each other.
20. The correct answer is (A). $54 is
90% of what Kirk collected. Express
this as an equation:
54 90
540 9
60
=
=
=
. x
x
x
Kirk collected $60. If each paper

sells for 40 cents, the number of
papers Kirk sold is:
60
0.40
=
600
4
= 150.
21. The correct answer is (C). The
key to this problem is in determining
the interior angles of the various tri-
angles formed by the runways. The
interior angle formed by the 120°-
turn from runway 1 to 2 is 60° (a
180°-turn would reverse the air-
plane’s direction). Similarly, the
interior angle formed by the 135°-
turn from runway 1 to 3 is 45° (180°
2 135°). Two right-triangle “angle
triplets” emerge: a 45°-45°-90°
triplet and a 30°-60°-90° triplet, as
shown in the figure below. Since the
sum of any triangle’s interior angles
is 180°, the remaining angles can
also be determined:
Among the three Roman-numeral
choices, only I and III provide angles
shown in the figure above.
22. The correct answer is (C). Based
on the definition of a geometric

sequence in the question, all pairs of
successive terms must have the
same ratio. Thus,
x
x−
=
−
2
8
. Cross-
multiplying, x
2
= 16, and hence x =
64. The constant multiple is either 2
or 22. If the second term is 4, the
sixth term is 64. If the second term is
–4, the sixth term is –64.
23. The correct answer is (C).
Manipulate the expression in
Column A so that it resembles the
expression in Column B. Distribute
the denominator to each term in the
numerator, then cancel common
terms:
ab
ab
a
ab
b
ab

a
b
b
a
22 2 2
+
=+=+
24.
The correct answer is
4
5
. (Enter 4
in the upper box and 5 in the lower
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box.) The line has a slope of
m =
−
−−
(
)
=
51
32
4
5
.
25. The correct answer is (A). f(2u)=

(2u)
2
2 2u =4u
2
2 2u, and 2f(u)=
2(u
2
2 u)=2u
2
2 2u. You can cancel
out the term 22u from both columns,
which leaves a comparison between
4u
2
and 2u
2
. Given u Þ 0, Quantity
A . Quantity B.
26. The correct answer is (E). The
total rent is D + 100, which must be
divided by the number of students
(M).
27. The correct answer is (B). Since
the smallest circle has a radius of 1,
the middle-sized 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 semi-
circle is half the circle’s circumfer-
ence—that is, pr. So the length of

the boundary of the shaded region is
the sum of the arcs of the three semi-
circles: p +2p +3p =6p.
28. The correct answer is (D). Given a
3:5 male-female ratio and a total of
2,400 voters, the number of male
voters must be
3
8
of 2,400, or 900.
Accordingly, female voters must
account for the remaining 1,500.
Determine the number of male
voters needed altogether for a 4:5
male-female ratio (assuming the
number of female voters remains
unchanged at 1,500) by setting up a
proportion and solving for that
number:
4
5 1 500
5 6 000
1 200
=
=
=
x
x
x
,

,
,
Since the district currently includes
900 male voters, 300 more are
needed to make the ratio 4:5.
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Practice Test 3 465
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Verbal Reasoning
1. A
2. C
3. B
4. B
5. D
6. C
7. E
8. A
9. E
10. B
11. A
12. C
13. A
14. E
15. E
16. A
17. D
18. C

19. E
20. D
21. C
22. B
23. E
24. D
25. A
26. C
27. B
28. D
29. (i) insatiably
ambitious
(ii) paradigmatic
(iii) dilemmas
30. D
1. The correct answer is (A). ITIN-
ERANT means “traveling about or
nomadic.” The word settled means
just the opposite.
2. The correct answer is (C). This is
a “possible use of” analogy type. A
weapon is a tool that’s often used to
INTIMIDATE. Similarly, an icebox is
a tool that’s typically used to pre-
serve (by means of freezing).
3. The correct answer is (B). This is
a “necessary condition” analogy.
GESTATION means “pregnancy”;
NATAL means “pertaining to birth.”
Thus, gestation is a necessary con-

dition for and must precede a birth.
Similarly, a premise is a necessary
condition for and must precede a
conclusion.
4. The correct answer is (B).
INCREDULITY means “disbelief or
distrust”; faith means “trust.”
5. The correct answer is (D). The
two missing words should convey a
contrast for the second half of the
sentence, as indicated by the phrase
“differs greatly.” Choice (D) works
because nocturnal opposes “active
during the day,” and solitary opposes
the idea of “quite complex interrela-
tionships.”
6. The correct answer is (C). To VIE
is to compete or contend (as in a
contest), contrary to giving up, or
admitting defeat.
7. The correct answer is (E).
VERDANT means “lush and over-
grown”; desolate means “bare of any
living thing.”
8. The correct answer is (A). The
first missing word should convey an
idea that fits the concept of “personal
interaction”; the second missing
word should describe the kind of
“well-being” that would have a

“chemical” basis. Only the word pair
love and physical fits both require-
ments.
9. The correct answer is (E). Choice
(E) is consistent with Arnold’s views,
as presented by the author. The
passage emphasizes Arnold’s argu-
ment for the pursuit of perfection;
thus, Arnold would probably agree
that we should study the “excep-
tional” rather than the “represen-
tative.” Besides, choice (E) is
inconsistent with the viewpoint of
multiculturalists (with whom Arnold
disagrees) that “we must learn what
is representative, for we have over-
emphasized what is exceptional.”
10. The correct answer is (B).
Arnold’s Culture was published in
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1869. The three forms of opposition
to Arnold’s ideas as presented in this
work developed after its publication;
therefore, they must have emerged
later than 1869.
11. The correct answer is (A). The
author’s threshold purpose, articu-

lated in the final sentence of the first
paragraph, is to identify the sig-
nificant forms of dissent to Arnoldian
culture. But the author proceeds to
do more than merely identify and
describe these forms of dissent; the
author is also critical of the dis-
senters, for example, because they
have misunderstood Arnold. Choice
(A) embraces both the author’s
threshold and ultimate concerns.
12. The correct answer is (C). This is
a “type of” analogy. A DECREE is a
pronouncement or declaration. A
decree INFORMS, but it’s a distinc-
tively official or formal way of doing
so. Similarly, resigning is a formal
way of quitting.
13. The correct answer is (A). This is
a “possible element of” analogy. One
common, but not essential, ingre-
dient of a CONFECTION (sweet
candy) is CINNAMON. Similarly,
one common, but not essential,
element of a tale (story) is a villain.
14. The correct answer is (E). Since
an “intact nuclear family” contrasts
with “today’s” marital trends, it is
clear that the sentence refers to the
nuclear family as something out of

the past. Thus, for the second blank,
a word like traditional, choice (E), or
possibly obsolete, choice (B), is
needed. Choice (E) is better because
the word astonishing sets up the
appropriate contrast, whereas the
idea that the belief is encouraging
suggests a value judgment unsup-
ported by the rest of the sentence.
15. The correct answer is (E). One
meaning of LATITUDE is “freedom
from limitations or restraints”—just
the opposite of restraint.
16. The correct answer is (A). In
order, the passage examines the sur-
vival mechanisms allowing lyngbya
to reemerge today; the economic and
ecological consequences of the
strain’s reemergence; and the pre-
cipitating cause of the strain’s
reemergence. Choice (B) is clearly off
the passage’s focus, and choice (E) is
far too broad in scope. Of the
remaining three choices, choice (A)
comes closest to embracing the
entire discussion.
17. The correct answer is (D). In the
first paragraph, among the explana-
tions given for lyngbya’s survival is
that when it dies and decays, the

decaying matter, which is rich in the
nutrients the strain needs to grow,
sinks to the sea floor, where it nour-
ishes the next generation of lyngbya.
In this sense, the strain has survived
partly by its ability to essentially
feed on itself.
18. The correct answer is (C). The
author discusses algae only to state
(in the first paragraph) that lyngbya
is an ancestor of modern-day algae
and that it relies on a different light
spectrum than modern-day algae.
19. The correct answer is (E). PITH
refers to “the heart or essence of the
matter.” A pithy observation or
remark is one that is incisive and on
point. A tangent, to the contrary, is a
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Practice Test 3 467
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