40. Since x = 40 and y + z = 140,
yz+
3
. x, and Quantity B is greater
than Quantity A.
11. The correct answer is (A). 1 centi-
meter=9kilometers, so the number
of kilometers is 9 times greater than
the number of centimeters. Con-
versely, the number of centimeters is
1
9
, or approximately 11%, of the
number of kilometers.
12. The correct answer is (D). The
drawer must include at least 20
pairs of striped socks. That leaves a
total of 20 pairs of solid socks. If the
drawer contains exactly 20 solid
white pairs, then w = 20, the drawer
contains no solid gray pairs (g =0),
and w 2 g = 20. Accordingly, Quan-
tity A equals Quantity B in this case.
However, if the drawer contains
fewer than 20 solid white pairs, then
w , 20 and w 2 g , 20, and
Quantity A is less than Quantity B.
13. The correct answer is (B). You
don’t need to perform precise calcula-
tions to make the comparison. First,
consider Quantity A. 333% = 3.33,

a
c
b
>
−>−
⎛
⎝
⎜
⎞
⎠
⎟
1
2
1
1
.
15. The correct answer is (B). For
equation (B) to hold true, y must
equal z, which is impossible given
that U y U . U z U. Equation (A) could
hold true—for example, if x =2,y =
1, and z = 2
1
2
. Equation (C) could
hold true because it is possible that
any one of the three variables could
equal 0 (zero). Equation (D) could
hold true—for example, if x =3,y =
2, and z = 1. Equation (E) could hold

total square feet in the warehouse.
Thus, Unit C occupies about 19% of
that total (100% 2 28% 2 42% 2
11% = 19%). In terms of square feet,
answers
diagnostictest
Chapter 3: Practice Test 1: Diagnostic 83
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then, the size of Unit C is approxi-
mately (.19)(140,000) = 26,600
square feet. Of the five answer
choices, choice (C) most closely
approximates this figure.
19. The correct answer is (A). The
integer k could be any multiple of 3,
either odd or even (3, 6, 9,...).
Accordingly, neither (II) nor (IV)
must be true. Regardless of the value
of k, however, 6k must be even. (The
product of an even integer and any
other integer is even.) Accordingly,
m, which equals 121 – 6k, must be
odd. (Subtracting an even integer
from an odd integer always yields an
odd integer.) And therefore, (I) must
be true and (III) must be false.
20. The correct answer is (E).
Sometime in late July, when daily

convert ratios to fractional parts that
add up to 1. The ratio of X’s rate to
Y’s rate is 3:1, and the ratio of Y’s
rate to Z’s rate is 1:2. You can
express the ratio among all three as
3:1:2 (X:Y:Z). Accordingly, Y’s pro-
duction accounts for
1
6
of the total
widgets that all three machines can
produce per day. Given that Y can
produce 35 widgets per day, all three
machines can produce (35)(6) = 210
widgets per day.
24. The correct answer is (D). For
each year, compare the heights of the
two dark bars. The year 2008 was
the only one among the five choices
for which Country Y’s imports (about
$39B) were less than twice Country
X’s imports (about $21B).
25. The correct answer is (A). To
answer this question, examine the
right bar for each of the six years
shown. The size of the dark portion
(Country Y’s imports) increases up to
2008, remains about the same from
2008 to 2009, and then increases
again from 2009 to 2010. So the

tained in the circle. Since minor arc
XZ
∩
is formed by that central angle,
XZ
∩
accounts for
1
3
of the circle’s cir-
cumference:
1
3
~16p! =
16p
3
.
28. The correct answer is (B). In each
set are three distinct member pairs.
The probability of selecting any pair
is one in three, or
1
3
. Accordingly, the
probability of selecting fruit and
salad from the appetizer menu along
with squash and peas from the veg-
etable menu is
1
3

equally
significant
16. A
17. D
18. E
19. B
20. E
21. B
22. E
23. A
24. A
25. C
26. D
27. D
28. C
29. B
30. E
Questions 1–9 (Analogies)
1. The correct answer is (A). This is
a “part-to-whole” analogy. A musical
SCALE is comprised of a series of
TONES that are arranged in a fixed
sequence; similarly, the spectrum is
comprised of a series of colors
arranged in a particular sequence.
2. The correct answer is (E). This is
a “symptom or sign” analogy. A
SANDAL leaves behind it a FOOT-
PRINT that traces the sandal’s path;
similarly, a boat leaves behind it a

6. The correct answer is (D). This is
a type of “symptom or manifestation”
analogy. A HAND may become
GNARLED (knotted and twisted)
with age, just as a brow may become
creased (wrinkled or ridged) with
age. Gnarls and creases are each a
manifestation of gradual deterio-
ration. Since a tire goes flat abruptly
and for one of many possible reasons,
choice (E) is not as strong an analogy
as choice (D).
7. The correct answer is (E). This is
an “inherent function” analogy. A
PENDULUM is designed to
OSCILLATE (move back and forth);
similarly, an automobile is designed
to travel.
8. The correct answer is (C). This is
an “ideal characteristic” analogy.
Ideally, an ARCHITECT is CRE-
ATIVE; similarly, an ideal soldier is
PART II: Diagnosing Strengths and Weaknesses86
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one who is obedient; that is, one who
obeys the orders of a superior officer.
9. The correct answer is (B). This is
a “negative form of” analogy. A

12. The correct answer is (B). The
missing words should suggest a
belief about computers that would
lead parents to let their children use
the devices without being watched.
Only choice (B) works, because only
benign (harmless) is sufficiently
positive to suggest that idea.
13. The correct answer is (D). The
first operative word in the sentence
is rather, which sets up a contrast
between what precedes it and what
follows it. So, the first clause must
run contrary to the phrase “it
emerged from social experience.”
Only choices (A), (C), and (D) serve
this purpose. Of these three choices,
choice (D) establishes the clearest
contrast—between ideology and
experience. A second operative word
in the sentence is hence. What
follows this phrase must be con-
sistent with what precedes it. Choice
(D) accomplishes just that. The word
empirical means “based on obser-
vation or experience (as opposed to
theory).”
14. The correct answer is (E).
Guileful means “cunning or wily.” It
makes sense that someone who is