Diagnostic Test

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Important Notes:
Your scores for these sections will be determined by the number of questions you answer correctly. Nothing is subtracted from a score if you answer a question incorrectly. Therefore, to maximize your scores it is better for you to guess at an answer than not to respond at all. Work as rapidly as you can without losing accuracy. Do not spend too much time on questions that are too difficult for you. Go on to the other questions and come back to the difficult ones later.
Some or all of the passages in this test have been adapted from published material to provide the examinee with significant problems for analysis and evaluation. To make the passages suitable for testing purposes, the style, content, or point of view of the original may have been altered. The ideas contained in the passages do not necessarily represent the opinions of the Graduate Record Examinations Board or Educational Testing Service.

Verbal Reasoning

SECTION 1 (20 Questions, Time - 30 minutes)
For each question, indicate the best answer using the directions given. If a question has answer choices with 'circles' , then the correct answer consists of a single choice. If a question has answer choices 'in square boxes' , then the correct answer consists of one or more answer choices. You will also have "Hints" available below the answer choices with square boxes, do read them before answering those questions. Read the directions for each question carefully.
To answer questions based on a reading passage, you may need to scroll to read the entire passage. You may also use your keyboard to navigate through the passage.

Select Next to proceed.
You are running out of time! few seconds are remaining.
1. In the 1950s, the country’s inhabitants were _________ : most of them knew very little about foreign countries.
2. It is his dubious distinction to have proved what nobody would think of denying, that Romero at the age of sixty-four writes with all the characteristics of _________ .
3. Given how (i) _________ the shortcomings of the standard economic model are in its portrayal of human behavior, the failure of many economists to respond to them is astonishing. They continue to fill the journals with yet more proofs of yet more (ii) _________ theorems. Others, by contrast, accept the criticisms as a challenge, seeking to expand the basic model to embrace a wider range of things people do.
HintSelect 1 correct answer for each blank
4. The (i) _________ nature of classical tragedy in Athens belies the modern image of tragedy: in the modern view tragedy is austere and stripped down, its representations of ideological and emotional conflicts so superbly compressed that there’s nothing (ii) _________for time to erode.
HintSelect 1 correct answer for each blank
5. Stories are a haunted genre; hardly (i) _________ kind of story, the ghost story is almost the paradigm of the form, and (ii) _________ was undoubtedly one effect that Poe had in mind when he wrote about how stories work.
HintSelect 1 correct answer for each blank
6. To the untutored eye the tightly forested Ardennes hills around Sedan look quite (i) _________, (ii)_________ place through which to advance a modern army; even with today’s more numerous and better roads and bridges, the woods and the river Meuse form a significant (iii) _________ .
HintSelect 1 correct answer for each blank
7. Room acoustics design criteria are determined according to the room’s intended use. Music, for example, is best (i) _________ in spaces that are reverberant, a condition that generally makes speech less (ii) _________ . Acoustics suitable for both speech and music can sometimes be created in the same space, although the result is never perfect, each having to be (iii) _________ to some extent.
HintSelect 1 correct answer for each blank
8. The question of (i) _________ in photography has lately become nontrivial. Prices for vintage prints (those made by a photographer soon after he or she made the negative) so drastically (ii) _________ in the 1990s that one of these photographs might fetch a hundred times as much as a nonvintage print of the same image. It was perhaps only a matter of time before someone took advantage of the (iii) _________ to peddle newly created “vintage” prints for profit.
HintSelect 1 correct answer for each blank
Questions 9 to 11 are based on this passage.
In Raisin in the Sun, Lorraine Hansberry does not
reject integration or the economic and moral promise
of the American dream; rather, she remains loyal to
this dream while looking, realistically, at its
incomplete realization. Once we recognize this dual                        (line 5)
vision, we can accept the play’s ironic nuances as
deliberate social commentaries by Hansberry rather
than as the “unintentional” irony that Bigs by
attributes to the work. Indeed, a curiously persistent
refusal to credit Hansberry with a capacity for                                  (line 10)
intentional irony has led some critics to interpret the
play’s thematic conflicts as mere confusion,
contradiction, or eclecticism. Isaacs, for example,
cannot easily reconcile Hansberry’s intense concern
for her race with her ideal of human reconciliation.                          (line 15)
But the play’s complex view of Black self-esteem and
human solidarity as compatible is no more
“contradictory” than Du Bois’ famous,
well-considered ideal of ethnic self-awareness
coexisting with human unity, or Fanon’s emphasis on                     (line 20)
an ideal internationalism that also accommodates
national identities and roles.
9. The author of the passage would probably consider which of the following judgments to be most similar to the reasoning of the critics mentioned in line 11?
10. In which sentence of the passage does the author provide examples that reinforce an argument against a critical response cited earlier in the passage?
11. In the context in which it appears, “realization” (line 5) most nearly means
Questions 12 and 13 are based on this passage.
According to the conventional view, serfdom in
nineteenth-century Russia inhibited economic
growth. In this view Russian peasants’ status as serfs
kept them poor through burdensome taxes in cash, in
labor, and in-kind; through restrictions on mobility;                            (line 5)
and through various forms of coercion. Melton,
however, argues that serfdom was perfectly
compatible with economic growth, because many
Russian serfs were able to get around landlords’ rules
and regulations. If serfs could pay for passports, they                           (line 10)
were usually granted permission to leave the estate. If
they could pay the fine, they could establish a
separate household; and if they had the resources,
they could hire laborers to cultivate the communal
lands, while they themselves engaged in trade or                                   (line 15)    
worked as migrant laborers in cities.


For the following question, consider each of the choices separately and select all that apply.
12. It can be inferred from the passage that the “rules and regulations” (lines 9-10) affecting serfdom in Russia involvedFor the following question, consider each of the choices separately and select all that apply
HintSelect all the correct answers
13. The sentence “If serfs ... estate” (lines 10-11) has which of the following functions in the passage?For the following question, consider each of the choices separately and select all that apply
HintSelect all the correct answers
14. In the argument given, the two portions in boldface play which of the following roles?
For each of Questions 15 to 19, select the two answer choices that when used to complete the sentence blank, fit the meaning of the sentence as a whole and produce completed sentences that are alike in meaning.
15. Early critics of Emily Dickinson’s poetry mistook for simplemindedness the surface of artlessness that in fact she constructed with such _______.
HintSelect 2 correct answers
16. While in many ways their personalities could not have been more different—she was ebullient where he was glum, relaxed where he was awkward, garrulous where he was ___________ they were surprisingly well suited.
HintSelect 2 correct answers
17. Since becoming commissioner, Mr. Vincente has snapped at the heels of the dominant firms in European industry more ______________ than his smoother predecessors and has consequently acquired many more enemies.
HintSelect 2 correct answers
18. Even in this business, where ___________ is part of everyday life, a talent for lying is not something usually found on one’s resume.
HintSelect 2 correct answers
19. Economic competition among nations may lead to new forms of economic protectionism that hearken back to the mercantilism of an earlier age: there are signs today that such protectionism is indeed _________ .
HintSelect 2 correct answers
Question 20 is based on this passage.
Electric washing machines, first introduced in the United States in 1925, significantly reduced the amount of time spent washing a given amount of clothes, yet the average amount of time households spent washing clothes increased after 1925. This increase is partially accounted for by the fact that many urban households had previously sent their clothes to professional laundries. But the average amount of time spent washing clothes also increased for rural households with no access to professional laundries.
20. Which of the following, if true, most helps to explain why the time spent washing clothes increased in rural areas?
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Quantitative Reasoning

SECTION 1 (20 Questions, Time - 35 minutes)
For each question, indicate the best answer using the directions given.

Read the directions for each question carefully. If a question has answer choices with 'circles' , then the correct answer consists of a single choice. If a question has answer choices with 'square boxes' , then the correct answer consists of one or more answer choices. To answer questions based on a data presentation, you may need to scroll to see the entire presentation.

All numbers used are real numbers. All figures are assumed to lie in a plane unless otherwise indicated.

Geometric figures, such as lines, circles, triangles, and quadrilaterals, are not necessarily drawn to scale. That is, you should not assume that quantities such as lengths and angle measures are as they appear in a figure. You should assume, however, that lines shown as straight are actually straight, points on a line are in the order shown, and more generally, all geometric objects are in the relative positions shown. For questions with geometric figures, you should base your answers on geometric reasoning, not on estimating or comparing quantities by sight or by measurement.
Coordinate systems, such as xy-planes and number lines, are drawn to scale; therefore you can read, estimate, or compare quantities in such figures by sight or by measurement.
Graphical data presentations, such as bar graphs, circle graphs, and line graphs, are drawn to scale; therefore, you can read, estimate, or compare data values by sight or by measurement.

Select Next to proceed.
You are running out of time! few seconds are remaining.

For question 1 to 7, Determine which of the following statements describes the comparison.

1. Quantity A is greater.
2. Quantity B is greater.
3. The two quantities are equal.
4. The relationship cannot be determined from the information given.
1. Quantity A: |m+25|
    Quantity B: 25-m
2. During an experiment, the pressure of a fixed mass of gas increased from 40 pounds per square inch(psi) to 50 psi. Throughout the experiment, the pressure, P psi, and the volume, V cubic inches, of gas varied in such a way that the value of the product the PV was constant.Quantity A: The volume of the gas when the pressure was 40 psi
Quantity B: 1.2 times the volume of the gas when the pressure was 50 psi
3. Quantity A: w+d
     Quantity B: c+z

4. n is an even negative integerQuantity A: \[\left(\frac{1}{3}\right)^n\]
Quantity B: \[\left(-3\right)^n\]
5. Today the price of a table was reduced from 20 percent from what it was yesterday, and the price of a lamp was reduced by 30 percent from what it was yesterday.Quantity A: The dollar amount of the reduction in the price of the table.
Quantity B: The dollar amount of the reduction in the price of the lamp.
6. The figure below, triangle RST is inscribed in a circle. The measure of angle RST is greater than 90°, and the area of the circle is 25π

Quantity A: The length of line segment RT
Quantity B: 10
7. S is a set of 8 numbers, of which 4 are negative and 4 are positive.Quantity A: The average(arithmetic mean) of the numbers in S
Quantity B:
The median of the numbers in S
8. For each integer n>1, let A(n) denote the sum of integers from 1 to n. For example, A(100)= 1+2+3+...+100=5,050. What's the value of A(200)?
9. Points A, B, C and D are on the line below, and AB = CD = \[\frac{1}{3}\](BC). What is the coordinate of C?
10. The figure below shows the graph of the function f defined by f(x) = |2x|+4 for all numbers x. For which of the following functions g, defined for all numbers x, does the graph of g intersect the graph of f?
11. A car got 33 miles per gallon using gasoline that cost $2.95 gallon. Approximately what was the cost, in dollars, of the gasoline used in driving the car 350 miles?
12. Select one or more answer choices according to the specific question directions.Which two of the following numbers have a product that is between -1 and 0? Indicate both of the numbers
13. Select one or more answer choices according to the specificWhich of the following integers are multiples of both 2 and 3? Indicate all such integers.
HintSelect all the correct answers
14. Select one or more answer choices according to the specific question directions.
Each employee of a certain company is in either Department X or Department Y, and there are more than twice as many employees in Department X as in Department Y. The average (arithmetic mean) salary is $25,000 for the employees in Department X and $35,000 for the employees in Department Y. Which of the following amounts could be the average salary for all of the employees of the company?

Indicate all such amounts.
HintSelect all the correct answers
15. Working alone at its constant rate, machine A produces k liters of a chemical in 10 minutes. Working alone at its constant rate, machine B produces k liters of chemical in 15 minutes. How many minutes does it take machines A and B working simultaneously at their respective constant rates, to produce k liters of the chemical?
16. The population of the five most populous cities in the United States in April 2000 is listed in the table below. The total population of the United States in April 2000 was 281,422,000. Based on the data shown, the population of the three most populous cities combined was what percent of the total population of the United States in April 2000?Give your answer to the nearest whole percent.

17. In 1997, at the rates shown in the graph, the work time required to pay for which of the following food items was greatest?
18. If the average hourly wage of the rank-and-file manufacturing worker in 1919 was $0.55, which of the following is the closest to the average price of \[\frac{1}{2}\] gallon of milk in 1919?
19. At the rates shown in the graph, which of the following is closest to the number of hours of work time that was required to pay for 20 kilograms of sugar in 1919? (1 kilogram equals 2.2 pounds, rounded to the nearest 0.1 pound.))
20. Eight hours of work time paid for approximately how many more dozen eggs in 1997 that it did in 1919?
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Verbal Reasoning

SECTION 2 (20 Questions, Time - 30 minutes)
For each question, indicate the best answer using the directions given. If a question has answer choices with 'circles' , then the correct answer consists of a single choice. If a question has answer choices 'in square boxes' , then the correct answer consists of one or more answer choices. You will also have "Hints" available below the answer choices with square boxes, do read them before answering those questions. Read the directions for each question carefully.
To answer questions based on a reading passage, you may need to scroll to read the entire passage. You may also use your keyboard to navigate through the passage.

Select Next to proceed.
You are running out of time! few seconds are remaining.
1. Dramatic literature often _________ the history of a culture in that it takes as its subject matter the important events that have shaped and guided the culture.
2. Far from viewing Jefferson as a skeptical but enlightened intellectual, historians of the 1960s portrayed him as _________ thinker, eager to fill the young with his political orthodoxy while censoring ideas he did not like.
3. There has been much hand-wringing about how unprepared American students are for college. Graff reverses this perspective, suggesting that colleges are unprepared for students. In his analysis, the university culture is largely (i) _________ entering students because academic culture fails to make connections to the kinds of arguments and cultural references that students grasp. Understandably, many students view academic life as (ii) _________ ritual.
HintSelect 1 correct answer for each blank
4. The narratives that vanquished peoples have created of their defeat have, according to Schivelbusch, fallen into several identifiable types. In one of these, the vanquished manage to (i) _________ the victor’s triumph as the result of some spurious advantage, the victors being truly inferior where it counts. Often the winners (ii) _________ this interpretation, worrying about the cultural or moral costs of their triumph and so giving some credence to the losers’ story.
HintSelect 1 correct answer for each blank
5. The playwright’s approach is (i) _________ in that her works (ii) _________ the theatrical devices normally used to create drama on the stage.
HintSelect 1 correct answer for each blank
6. That the President manages the economy is an assumption (i) _________ the prevailing wisdom that dominates electoral politics in the United States. As a result, presidential elections have become referenda on the business cycle, whose fortuitous turnings are (ii) _________ the President. Presidents are properly accountable for their executive and legislative performance, and certainly their actions may have profound effects on the economy. But these effects are (iii). _________ Unfortunately, modern political campaigns are fought on the untenable premise that Presidents can deliberately produce precise economic results.
HintSelect 1 correct answer for each blank
7. Higher energy prices would have many (i) _________ effects on society as a whole. Besides encouraging consumers to be more (ii) _________ in their use of gasoline, they would encourage the development of renewable alternative energy sources that are not (iii) _________ at current prices.
HintSelect 1 correct answer for each blank
8. But they pay little attention to the opposite and more treacherous failing: false certainty, refusing to confess their mistakes and implicitly claiming (i) _________ , thereby embarrassing the nation and undermining the Constitution, which established various mechanisms of self-correction on the premise that even the wisest men are sometimes wrong and need, precisely when they find it most (ii) _________ , the benefit of (iii) _________ process.
HintSelect 1 correct answer for each blank
Questions 9 and 10 are based on this passage.
The nearly circular orbits of planets in our solar
system led scientists to expect that planets around
other stars would also reside in circular orbits.
However, most known extrasolar planets reside in
highly elongated, not circular, orbits. Why? The best                                                                       (line 5)
clue comes from comets in our solar system. Comets
formed in circular orbits but were gravitationally
flung into their present-day elliptical orbits when they ventured too close to
planets. Astronomers suspect
that pairs of planets also engage in this slingshot                                                                              (line 10)
activity, leaving them in disturbed, elliptical orbits. If
two planets form in close orbits, one will be scattered
inward (toward its star), the other outward. They will
likely then travel close enough to neighboring planets
to disturb their orbits also.                                                                                                                      (line 15)
9. According to the passage, which of the following factors help account for the elliptical shape of the orbits of extrasolar planets?
HintSelect all the correct answers
10. The passage suggests that two planets formed in close orbits that engaged in “slingshot activity” (lines 10-11) would be likely to
HintSelect all the correct answers
Question 11 is based on this passage.
Even after numerous products made with artificial sweeteners became available, sugar consumption per capita continued to rise. Now manufacturers are introducing fat-free versions of various foods that they claim have the taste and texture of the traditional high-fat versions. Even if the manufacturers’ claim is true, given that the availability of sugar-free foods did not reduce sugar consumption, it is unlikely that the availability of these fat-free foods will reduce fat consumption.
11. Which of the following, if true, most seriously undermines the argument?
Questions 12 to 15 are based on this passage.
Recent studies of sediment in the North Atlantic’s                                             
deep waters reveal possible cyclical patterns in the
history of Earth’s climate. The rock fragments in
these sediments are too large to have been transported
there by ocean currents; they must have reached their                                           (line 5)
present locations by traveling in large icebergs that
floated long distances from their point of origin
before melting. Geologist Gerard Bond noticed that
some of the sediment grains were stained with iron
oxide, evidence that they originated in locales where                                              (line 10)
glaciers had overrun outcrops of red sandstone.
Bond’s detailed analysis of deep-water sediment
cores showed changes in the mix of sediment sources
over time: the proportion of these red-stained grains
fluctuated back and forth from lows of 5 percent to                                                 (line 15)
highs of about 17 percent, and these fluctuations
occurred in a nearly regular 1,500-year cycle.
Bond hypothesized that the alternating cycles
might be evidence of changes in ocean-water                                                            
circulation and therefore in Earth’s climate. He knew                                            (line 20)
that the sources of the red-stained grains were
generally closer to the North Pole than were the
places yielding a high proportion of “clean” grains.
At certain times, apparently, more icebergs from the
Arctic Ocean in the far north were traveling south                                                   (line 25)
well into the North Atlantic before melting and
shedding their sediment.
Ocean waters are constantly moving, and water
temperature is both a cause and an effect of this
movement. As water cools, it becomes denser and                                                   (line 30)
sinks to the ocean’s bottom. During some periods, the
bottom layer of the world’s oceans comes from cold,
dense water sinking in the far North Atlantic. This
causes the warm surface waters of the Gulf Stream to
be pulled northward. Bond realized that during such                                              (line 35)
periods, the influx of these warm surface waters into
northern regions could cause a large proportion of the
icebergs that bear red grains to melt before traveling
very far into the North Atlantic. But sometimes the
ocean’s dynamic changes, and waters from the Gulf                                                (line 40)
Stream do not travel northward in this way. During
these periods, surface waters in the North Atlantic
would generally be colder, permitting icebergs
bearing red-stained grains to travel farther south in                                                
the North Atlantic before melting and depositing their                                           (line 45)
sediment.
The onset of the so-called Little Ice Age
(1300-1860), which followed the Medieval Warm
Period of the eighth through tenth centuries, may
represent the most recent time that the ocean’s                                                        (line 50)
dynamic changed in this way. If ongoing
climate-history studies support Bond’s hypothesis of
1,500-year cycles, scientists may establish a major
natural rhythm in Earth’s temperatures that could
then be extrapolated into the future. Because the                                                     (line 55)
midpoint of the Medieval Warm Period was about
A.D. 850, an extension of Bond’s cycles would place
the midpoint of the next warm interval in the
twenty-fourth century.
12. According to the passage, which of the following is true of the rock fragments contained in the sediments studied by Bond?
13. In the final paragraph of the passage (lines 47-59), the author is concerned primarily with
14. According to the passage, Bond hypothesized that which of the following circumstances would allow red-stained sediment grains to reach more southerly latitudes?
15. It can be inferred from the passage that in sediment cores from the North Atlantic’s deep waters, the portions that correspond to the Little Ice Age
For each of Questions 16 to 19, select the two answer choices that when used to complete the sentence blank, fit the meaning of the sentence as a whole and produce completed sentences that are alike in meaning.
16. The vegetation at Stone Mountain, the best known of the large rock masses known as monadnocks, is far from _________ , having been decimated by the hiking traffic.
HintSelect 2 correct answers
17. The macromolecule RNA is common to all living beings, and DNA, which is found in all organisms except some bacteria, is almost as _________ .
HintSelect 2 correct answers
18. The ex-minister’s real crime, in the eyes of his _________ political friends who subsequently abandoned him, was not so much that he was wrong as that he raised questions that must not be raised.
HintSelect 2 correct answers
19. Once White stepped down from a political platform, where his daring, _________ speeches provoked baying applause from audiences, he was courteous and considerate even to politicians he had just slandered in the speech.
HintSelect 2 correct answers
Question 20 is based on this passage.

As an example of the devastation wrought on music publishers by the photocopier, one executive noted that for a recent choral festival with 1,200 singers, the festival’s organizing committee purchased only 12 copies of the music published by her company that was performed as part of the festival.

20. Which of the following, if true, most seriously weakens the support the example lends to the executive’s contention that music publishers have been devastated by the photocopier?
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Quantitative Reasoning

SECTION 2 (20 Questions, Time - 35 minutes)
For each question, indicate the best answer using the directions given.

Read the directions for each question carefully. If a question has answer choices with 'circles' , then the correct answer consists of a single choice. If a question has answer choices with 'square boxes' , then the correct answer consists of one or more answer choices. To answer questions based on a data presentation, you may need to scroll to see the entire presentation.

All numbers used are real numbers. All figures are assumed to lie in a plane unless otherwise indicated.

Geometric figures, such as lines, circles, triangles, and quadrilaterals, are not necessarily drawn to scale. That is, you should not assume that quantities such as lengths and angle measures are as they appear in a figure. You should assume, however, that lines shown as straight are actually straight, points on a line are in the order shown, and more generally, all geometric objects are in the relative positions shown. For questions with geometric figures, you should base your answers on geometric reasoning, not on estimating or comparing quantities by sight or by measurement.
Coordinate systems, such as xy-planes and number lines, are drawn to scale; therefore you can read, estimate, or compare quantities in such figures by sight or by measurement.
Graphical data presentations, such as bar graphs, circle graphs, and line graphs, are drawn to scale; therefore, you can read, estimate, or compare data values by sight or by measurement.

Select Next to proceed.
You are running out of time! few seconds are remaining.

For question 1 to 7, Determine which of the following statements describes the comparison.

1. Quantity A is greater.
2. Quantity B is greater.
3. The two quantities are equal.
4. The relationship cannot be determined from the information given.
1. A company plans to manufacture two types of hammers, type R and type S. The cost of manufacturing each hammer of type S is $0.05 less than twice the cost of manufacturing each hammer of type R.
Quantity A:   The cost of manufacturing 1000 hammers of type R and 1000 hammers of type S.
Quantity B:   The cost of manufacturing 1500 hammers of type S.
2. In the XY-plane, one of the vertices of square S is the point (2,2). The diagonals of S intersect at point (6,6).
Quantity A:   The area of S
Quantity B:   
64
3. w>1Quantity A:   7w-4
Quantity B:   2w+5
4. Quantity A:   \[\frac{2^{30} - 2^{29}}{2}\]
     Quantity B:  \[2^{28}\]
5. Quantity A:   PS
     Quantity B:   SR
6. Machine R, working alone at a constant rate, produces x units of a product in 30 minutes, and machine S, working alone at a constant rate produces x units of the product in 48 minutes, where x is a positive integer.
Quantity A:   
The number of units of the product the machine R, working alone at its constant rate, produces in 3 hours.
Quantity B:   The number of units of the product the machine S, working alone at its constant rate, produces in 4 hours.
7. Among the 9,000 people attending a football game at College C, there were x students from College C and y students where not from College C.
Quantity A:   The number of people attending the game who were not students
Quantity B:   9000-x-y
8. By weight, liquid A makes up 8 percent of solution R and 18 percent of solution S. If 3 grams of solution R are mixed with 7 grams of solution S, then liquid A accounts for what percent of the weight of the resulting solution?
9. Of the 700 members of a certain organization, 120 are lawyers. Two members of the organization will be selected at random. Which of the following is the closest to the probability that neither of the members selected will be a lawyer?
10. A manager is forming a 6-person team to work on a certain project. From the 11 candidates available for the team, the manager has already chosen 3 to be on the team. In selecting the other 3 team members, how many different combinations of 3 of the remaining candidates does the manager have to choose from?
11. If |z|≤1, which of the following statements must be true?Indicate all such statements.
HintSelect all the correct answers
12. In a certain medical group, Dr. Schwartz schedules appointments to begin 30 minutes apart, Dr. Ramirez schedules appointments to begin 25 minutes apart, and DR. Wu schedules appointments to begin 50 minutes apart. All three doctors schedule their first appointments to begin at 8:00 in the morning, which are followed by their successive appointments throughout the day without breaks. Other than at 8:00 in the morning, at what times before 1:30 in the afternoon do all three doctors schedule their appointments to begin at the same time?
Indicate all such times.
HintSelect all the correct answers
13. In the xy-plane, triangular region R is bounded by the lines x=0, y=0 and 4x+3y=60. Which of the following points lie inside the region R?Indicate all such points
HintSelect all the correct answers
14. The figure below shows the probability distribution of a continuous random variable X. For each of the five intervals show, the figure gives the probability that the value of X is in that interval. What is the probability that 1<X<4?
15. Which of the following is the closest to the mean of the prices of the 700 homes sold in 2012 and 2013 combined?
16. By approximately what percent did the median price of homes sold in County T decrease from 2011 to 2012?
17. Based on the information given, which of the following statements about the sum of the prices of all the homes sold in a given year must be true?Indicate all such statements

HintSelect all the correct answers
18. For how many of the seven years shown was the revenue per student less than \[\frac{1}{5}\] of the per capita income for the year?
19. When the decimal point of a certain positive decimal number is moved six places to the right, the resulting number is 9 times the reciprocal of the original number. What is the original number?
20. A group of 5,000 investors responded to a survey asking whether they owned stocks and whether they owned bonds. Of the group, 20 percent responded that they owned only one of the two types of investments. If r is the number of investors in the group who owned stocks but not bonds, which of the following represents the number if investors in the group who owned bonds but not stocks, in terms of r?
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