You have to decide whether the data given in the statements are sufficient for answering the question.. You must answer each question by choosing from 5 Data Sufficiency answer choices:
Trang 1Opening Exam Directions
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Trang 2AWA Essays
In the Analytical Writing Assessment, you will be asked to write 2 essays You will have exactly 30 minutes to write each essay
In the first essay, you are requried to analyze an argument Your
task is to critique the argument, not to present your own view on the given subject
In the second essay, you are required to analyze an issue Your
task is to present and support your particular view on the given issue
Trang 3AWA ESSAYS: ANALYSIS OF AN ARGUMENT
ESSAY QUESTION:
The following appeared in an article in a human resources magazine:
"Six months ago, in an experiment aimed at boosting worker productivity, Company
Z started providing free gourmet lunches to its employees The Company hoped that these office lunches would encourage employees to remain in the building during lunch-hour and motivate employees to work harder throughout the day
A survey found that soon after the lunch program was implemented, the average number of hours worked by most Company Z employees increased dramatically During this same period, the Company's profits also increased substantially Thus, it
is safe to say that the lunch program was a huge success and that Company Z should make the program permanent."
YOUR RESPONSE:
Trang 4AWA ESSAYS: ANALYSIS OF AN ISSUE
YOUR RESPONSE:
Trang 5Problem Solving
Each Problem Solving question consists of a quantitative question
and 5 answer choices Solve the problem and select the best of the given answer choices
Note that all numbers given are real numbers Figures are drawn as accurately as possible, except when explicitly stated otherwise
1 How many integers are there between 51 and 107, inclusive?
3 The number of passengers on a certain bus at any given time is
given by the equation P = -2(S – 4)2 + 32, where P is the number of passengers and S is the number of stops the bus has made since
beginning its route If the bus begins its route with no passengers,
how many passengers will be on the bus two stops after the stop
where it has its greatest number of passengers?
Trang 6Each Data Sufficiency question consists of a question and two
statements, labeled (1) and (2), in which certain data are given You have to decide whether the data given in the statements are sufficient for answering the question
In questions that ask you to find a numerical quantity, data
provided in the statements are considered sufficient only if it is
possible to determine exactly one numerical value for the quantity
You must answer each question by choosing from 5 Data Sufficiency answer choices:
(A) Statement 1 ALONE is sufficient, but statement (2) alone is not sufficient
(B) Statement 2 ALONE is sufficient, but statement (1) alone is not sufficient
(C) BOTH statements (1) and (2) TOGETHER are sufficient, but
NEITHER statement ALONE is sufficient
(D) EACH statement ALONE is sufficient
(E) Statements (1) and (2) TOGETHER are NOT sufficient
These 5 answer choices are presented (in this exact order) for every Data Sufficiency question
Note that all numbers given are real numbers Figures are not
necessarily drawn to scale
Trang 74 At a charity fundraiser, 180 of the guests had a house both in the Hamptons and in Palm Beach If not everyone at the fundraiser had
a house in either the Hamptons or Palm Beach, what is the ratio of the number of people who had a house in Palm Beach but not in the Hamptons to the number of people who had a house in the
Hamptons but not in Palm Beach?
(1) One-half of the guests had a house in Palm Beach
(2) Two-thirds of the guests had a house in the Hamptons
• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
• Both statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient
• EACH statement ALONE is sufficient
• Statements (1) and (2) TOGETHER are NOT sufficient
• EACH statement ALONE is sufficient
• Statements (1) and (2) TOGETHER are NOT sufficient
5 If r, s, and t are all positive integers, what is the remainder of
2 p
, if p = rst?
10
Trang 86 If 22x – 1 = 8y then x in terms of y equals:
8 8 cities, including Memphis, compete in a national contest to host
a political convention Exactly one city wins the competition What is the probability that Memphis does not win the competition?
(1) The probability that any one of the 8 cities does not win the competition is 7/8
(2) The probability that Memphis wins the competition is 1/8
Trang 9• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
• Both statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient
• EACH statement ALONE is sufficient
• Statements (1) and (2) TOGETHER are NOT sufficient
• EACH statement ALONE is sufficient
• Statements (1) and (2) TOGETHER are NOT sufficient
10 Paul's income is 40% less than Rex's income, Quentin's income
is 20% less than Paul's income, and Sam's income is 40% less than Paul's income If Rex gave 60% of his income to Sam and 40% of his income to Quentin, Quentin's new income would be what fraction
of Sam's new income?
Trang 1011 It takes machine A x hours to manufacture a deck of cards that machine B can manufacture in 1/x hours If machine A operates alone for y hours and is then joined by machine B until 100 decks
are finished, for how long will the two machines operate simultaneously?
Trang 11• Both statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient
• EACH statement ALONE is sufficient
• Statements (1) and (2) TOGETHER are NOT sufficient
14 If x is not equal to 0, is |x| less than 1?
• EACH statement ALONE is sufficient
• Statements (1) and (2) TOGETHER are NOT sufficient
15 Joan, Kylie, Lillian, and Miriam all celebrate their birthdays today Joan is 2 years younger than Kylie, Kylie is 3 years older than Lillian, and Miriam is one year older than Joan Which of the following could be the combined age of all four women today?
Trang 12decreased the next day by q dollars and the investor decided to sell the bond that day for v dollars When did the investor sell the bond
• Wednesday of the same week
• Thursday of the same week
• Friday of the same week
• Monday of the next week
• Tuesday of the next week
17 If x is a prime number, what is the value of x?
(1) 2x + 2 is the cube of a positive integer
(2) The average of any x consecutive integers is an integer
• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
• Both statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient
• EACH statement ALONE is sufficient
• Statements (1) and (2) TOGETHER are NOT sufficient
18 In a sequence of terms in which each term is three times the previous term, what is the fourth term?
(1) The first term is 3
(2) The second to last term is 310
• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
• Both statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient
• EACH statement ALONE is sufficient
• Statements (1) and (2) TOGETHER are NOT sufficient
Trang 1320 Regular hexagon ABCDEF has a perimeter
of 36 O is the center of the hexagon and of
circle O Circles A, B, C, D, E, and F have
centers at A, B, C, D, E, and F, respectively If
each circle is tangent to the two circles
adjacent to it and to circle O, what is the area
of the shaded region (inside the hexagon but
outside the circles)?
Trang 1421 If r and q are integers, what is the value of (5 r)(3q+1)?
• EACH statement ALONE is sufficient
• Statements (1) and (2) TOGETHER are NOT sufficient
• EACH statement ALONE is sufficient
• Statements (1) and (2) TOGETHER are NOT sufficient
23 7 teams compete in a track competition If there are 20 events
in the competition, no event ends in a tie, and no team wins more than 3 events, what is the minimum possible number of teams that won at least one event?
Trang 1525 Which of the following equations represents a line that is
perpendicular to the line described by the equation 3x + 4y = 8 ?
• EACH statement ALONE is sufficient
• Statements (1) and (2) TOGETHER are NOT sufficient
27 If x and y are integers, is 5x + y divisible by 5?
(1) x is divisible by 5
(2) y is divisible by 5
Trang 16• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
• Both statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient
• EACH statement ALONE is sufficient
• Statements (1) and (2) TOGETHER are NOT sufficient
28 A sphere is inscribed in a cube with an edge of 10 What is the shortest possible distance from one of the vertices of the cube to the surface of the sphere?
subcommittees, what percent of all the possible subcommittees that
include Michael also include Anthony?
30 A certain NYC taxi driver has decided to start charging a rate of
r cents per person per mile How much, in dollars, would it cost 3
people to travel x miles if he decides to give them a 50% discount?
Trang 18• EACH statement ALONE is sufficient
• Statements (1) and (2) TOGETHER are NOT sufficient
• EACH statement ALONE is sufficient
• Statements (1) and (2) TOGETHER are NOT sufficient
34 What is the ratio of r to s?
• EACH statement ALONE is sufficient
• Statements (1) and (2) TOGETHER are NOT sufficient
Trang 1935 If xy represents a two-digit number, where x and y are positive
single digits, which of the following CANNOT be true?
Trang 20Sentence Correction
Each Sentence Correction question presents a sentence, part of
which or all of which is underlined Beneath the sentence you will find five ways of phrasing the underlined part
Answer choice (A) repeats the original; answer choices (B), (C), (D), and (E) are different
If you think the original is best, choose answer choice (A);
otherwise choose one of the other answer choices whichever is best
The best answer choice is the one that conforms to the rules of
standard written English and produces the most effective sentence This answer should be clear and exact, without ambiguity,
redundancy, or grammatical error
1 Because of less availability and greater demand for scientific
research, platinum remains consistently expensive, like gold
• Because of less availability and greater demand for scientific research, platinum remains consistently expensive, like gold
• Because of less availability and increased demand for scientific research, platinum remains consistently expensive, like that of gold
• Because of decreased availability and increased demand in scientific research, platinum remains expensive, like gold
• Because of decreased availability and increased demand for scientific research, platinum remains expensive, like gold
• Because of decreased availability and greater demand in
scientific research, platinum remains at a consistently high price, like that of gold
2 Despite an expensive publicity campaign, ticket sales for the new play were poor enough that it closed only after two weeks
• were poor enough that it closed only after two weeks
• were poor enough that it was closed only after two weeks
• were so poor that it closed only after two weeks
• were so poor that it was closed after only two weeks
Trang 21• were so poor that after only two weeks it closed
3 According to anthropologists, the use of human language covers
a wide spectrum from practical communication between people
engaged in the same task to establishing hierarchy within a social group
• from practical communication between people engaged in the same task to establishing hierarchy within a social group
• from communicating practically between people engaging in the same task to the establishment of hierarchy within a social group
• from practical communication between people engaged in the same task to the establishing of hierarchy within a social group
• from practical communicating between people engaging in the same task to the establishing of hierarchy within a social group
• from practical communication between people engaged in the same task to the establishment of hierarchy within a social group
Critical Reasoning
Each Critical Reasoning question presents a brief argument or
situation, followed by a question and 5 answer choices Select the best of the given answer choices
4 Because most hospitals suffer a chronic undersupply of physicians, patients must sometimes wait hours in the emergency room to see a doctor Nurses should therefore perform initial examinations in hospital emergency rooms to determine which patients merit immediate treatment and which can wait until the emergency physicians have more time to see them
Which of the following is an assumption on which the argument above is based?
• Hospitals should expand their medical staffs
• Physicians cannot be trained to perform initial examinations themselves
Trang 22• Emergency rooms will run more smoothly if initial
examinations are performed
• Hospitals are always fully staffed with nurses
• Nurses are competent to judge the severity of patients'
conditions
5 The pace of new technology brings a constant stream of new devices to the market and many of them enjoy commercial success But analysts warn that announcing new technology too soon after the introduction of a successful device can backfire: consumers may resent feeling pressured to spend money to replace a device they have just purchased, even if the new technology is clearly superior The result is that consumers either do not buy the old device in anticipation of the new one, or they do not buy the new device out
of resentment over having already spent their money on the old one So if a company wishes to introduce a new device, it should wait until purchases of the old device have begun to decline
Which of the following, if true, would best support the claims made above?
• New technology often becomes less expensive after an initial surge in sales
• Media outlets such as television and magazines often report on the planned introduction of new devices while sales of old
devices are still strong
• Consumers are usually able to determine whether new
technology is superior to current technology
• Surveys have shown that consumers prefer to make only one
or two technology purchases per year
• Consumers tend to be loyal to technology companies whose products they enjoy using
Reading Comprehension
Reading Comprehension questions test your ability to answer questions based on reading passages You will see several reading passages in the verbal section of the exam