Tài liệu Master the Gre 2010 - Part 9 docx

Argument Task
Time: 30 Minutes
Using a word processor, compose a response to the writing task presented below. Do not
use any spell-checking or grammar-checking functions (they are not available on the
actual GRE).
“People working as computer scientists and engineers must work more than
sixty hours per week to further their careers. Accordingly, it is important
that these workers have ready access to high-quality and affordable all-day
child care. Also, the requirements for career advancement in these fields
must be made more flexible so that children of pre-school age can spend a
significant portion of each day with at least one parent.”
Discuss how well-reasoned you find the argument above.
diagnostictest
Chapter 3: Practice Test 1: Diagnostic 63
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QUANTITATIVE REASONING
28 Questions • 45 Minutes
Directions: For Questions 1214, each question involves two quantities: one in
Column A and one in Column B. You are to compare the two quantities and
choose whether
(A) The quantity in Column A is greater.
(B) The quantity in Column B is greater.
(C) The quantities are equal.
(D) The relationship between the two quantities cannot be determined from the
information in the problem.
Common Information: In a question, information concerning one or both of the
quantities to be compared is centered above the two columns. A symbol that
appears in both columns represents the same thing in Column A as it does in
Column B.

Notes:
• All number used are real numbers.
• All figures lie on a plane unless otherwise indicated.
• All angle measures are positive.
• All lines shown as straight are straight. Lines that appear jagged can also be
assumed to be straight (lines can look somewhat jagged on the computer
screen).
• Figures are intended to provide useful information for answering the ques-
tions. However, except where a figure is accompanied by a “Note” stating that
the figure is drawn to scale, solve the problem using your knowledge of
mathematics, not by visual measurement or estimation.
Column A
Column B
1. U n UU2n U
2. Jeff sold 80 percent of his books at a garage sale.
The number of books Jeff
owned before the garage
sale
Five times the number of
books remaining unsold
after the garage sale
3. Cubes measuring 1 inch 3 1 inch 3 1 inch must be
packed into a rectangular packing box.
The number of complete
cubes that fit into a box
with dimensions 12 inches
3 10 inches 3 12.5 inches
The number of complete
cubes that fit into a box
with dimensions 10 inches

3 15 inches 3 10 inches
PART II: Diagnosing Strengths and Weaknesses64
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NOTE
In this diagnostic test, questions
are grouped by format, and
easier questions come before
more challenging ones. On
the actual computer-based
GRE, questions of all types
and difficulty levels are
interspersed.
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4. The integer (k 2 1) is a prime number
between 40 and 50.
Column A
Column B
The median among
all possible values
of k
The arithmetic
mean (simple
average) of all
possible values of k
5.
3
2
p + q =3
2

3
q + p =2
pq
6. x + z =50
y + w 130
7. a . 1
(a
2
)
3
a
2
a
3
8. 6a
2
2 6b
2
(3a +3b)(2a 2 2b)
9. n . 0
=
n +2n 2
=
n + n
diagnostictest
Chapter 3: Practice Test 1: Diagnostic 65
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10.

Column A Column B
x
yz+
3
11. On a certain map, each centimeter represents 9
kilometers in actual distance.
The number of centimeters
on the map from City A
to City B
9% of the number of
kilometers from City A to
City B
12. Of 40 pairs of socks in a drawer, w pairs are
solid white, g pairs are solid gray, and at least
20 pairs are striped.
w 2 g The number of striped
pairs of socks in the
drawer
13. 333% of 3 33% of 33
14. abc Þ 0
a . b
c
a
c
b
PART II: Diagnosing Strengths and Weaknesses66
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Directions: For Questions 15228, solve the problem and select the best answer

choice.
Notes:
• All numbers used are real numbers.
• All figures lie on a plane unless otherwise indicated.
• All angle measures are positive.
• All lines shown as straight are straight. Lines that appear jagged can also be
assumed to be straight (lines can look somewhat jagged on the computer
screen).
• Figures are intended to provide useful information for answering the ques-
tions. However, except where a figure is accompanied by a “Note” stating that
the figure is drawn to scale, solve the problem using your knowledge of
mathematics, not by visual measurement or estimation.
15. If U x U . U y U . U z U, which of the
following equations CANNOT hold
true?
(A) xyz =–1
(B) y 2 z =0
(C) xyz =0
(D) x 2 y = z
(E) xyz =1
16. A compact disc player priced origi-
nally at $75 is sold at a discount for
$65. What is the rate of the discount?
Give your answer to the
nearest tenth of a percent.
%
Enter your answer in the box.
17. If x M y = x(x 2 y), then (21 M 22) M
(1 M 2) =
(A) 2

(B) 1
(C) 0
(D) 21
(E) 22
18. The graph shows the proportionate
areas of 4 warehouse units: A, B, C,
and D. Which of the following most
closely approximates the square-foot
area of Unit C?
(A) 19,500
(B) 23,000
(C) 26,500
(D) 37,500
(E) 42,000
diagnostictest
Chapter 3: Practice Test 1: Diagnostic 67
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