Q 1 / 15
Question
1
Philosophy is at odds with common sense. One of the things peculiar to common sense is that it must not be questioned, but taken for granted. It is made up of a mass of convictions that form the solidified and uniform belief on which people act and which is the unconscious premise of most human reasoning. We use common sense to live by or to think by, but we do not think about it at all. Now suppose that in some whimsical and senseless mood someone does think about common sense. Something very startling happens. This once unchallenged authority is proved to be highly fallible. Its spell is gone. It suddenly becomes clear that common sense has had a history, and that it has varied with times and places. The absurdities of yesterday are the common sense of today. Philosophers are the people who, at the risk of being thought odd, challenge common sense. They set themselves against passively accepted 'truth' in order that the majority may be brought to reflect upon notions that have been taken for granted. Philosophers are reckless critics, insuppressible askers of questions, who do not know where to stop.
Which of the following conclusions is most consistent with the passage?
Rationale
<h2>Philosophy questions ideas that are commonly assumed to be true.</h2>
The passage emphasizes that philosophers challenge commonly accepted beliefs, which are often taken for granted by society. By questioning these notions, philosophers prompt reflection on ideas that people typically accept without scrutiny.
<b>A) Philosophy can be enjoyed only by a minority of people.</b>
This choice suggests exclusivity in the enjoyment of philosophy, which is not supported by the passage. The text does not indicate that philosophy is limited to a small group; rather, it highlights the importance of philosophical inquiry for broader societal reflection.
<b>B) Philosophy is intellectually interesting but of little practical value.</b>
While the passage discusses the intellectual challenge posed by philosophy, it does not imply that it lacks practical value. In fact, questioning common beliefs can lead to significant insights that affect how people think and live, contradicting this assertion.
<b>C) Philosophers examine only those ideas that transcend a particular historical moment.</b>
This choice misrepresents the passage's focus. The text suggests that common sense varies with time and place, indicating that philosophers engage with ideas rooted in specific historical contexts rather than exclusively transcendent ideas.
<b>D) Philosophers seek to answer the questions that trouble most people.</b>
The passage does not claim that philosophers aim to resolve common people's questions. Instead, it portrays them as challengers of accepted truths, often provoking discomfort rather than providing straightforward answers to widely held concerns.
<b>Conclusion</b>
Philosophy serves as a critical lens through which commonly accepted ideas are scrutinized and questioned. By challenging the unquestioned authority of common sense, philosophers encourage deeper reflection on societal beliefs and practices. This process reveals the fallibility of assumptions, showing that philosophical inquiry is vital for understanding and evolving human thought.
The passage emphasizes that philosophers challenge commonly accepted beliefs, which are often taken for granted by society. By questioning these notions, philosophers prompt reflection on ideas that people typically accept without scrutiny.
<b>A) Philosophy can be enjoyed only by a minority of people.</b>
This choice suggests exclusivity in the enjoyment of philosophy, which is not supported by the passage. The text does not indicate that philosophy is limited to a small group; rather, it highlights the importance of philosophical inquiry for broader societal reflection.
<b>B) Philosophy is intellectually interesting but of little practical value.</b>
While the passage discusses the intellectual challenge posed by philosophy, it does not imply that it lacks practical value. In fact, questioning common beliefs can lead to significant insights that affect how people think and live, contradicting this assertion.
<b>C) Philosophers examine only those ideas that transcend a particular historical moment.</b>
This choice misrepresents the passage's focus. The text suggests that common sense varies with time and place, indicating that philosophers engage with ideas rooted in specific historical contexts rather than exclusively transcendent ideas.
<b>D) Philosophers seek to answer the questions that trouble most people.</b>
The passage does not claim that philosophers aim to resolve common people's questions. Instead, it portrays them as challengers of accepted truths, often provoking discomfort rather than providing straightforward answers to widely held concerns.
<b>Conclusion</b>
Philosophy serves as a critical lens through which commonly accepted ideas are scrutinized and questioned. By challenging the unquestioned authority of common sense, philosophers encourage deeper reflection on societal beliefs and practices. This process reveals the fallibility of assumptions, showing that philosophical inquiry is vital for understanding and evolving human thought.
Select an answer to continue →
Question
2
If y is any number in the list above other than the first number and if x is the number that precedes y in the list, what is y in terms of x?*List: 2, 5, 14, 41, 122, 365*
Rationale
Pattern: 5 = 3*2 - 1, 14 = 3*5 - 1, 41 = 3*14 - 1. Thus, y = 3x - 1.
Select an answer to continue →
Question
3
A travel agency has booked 231 passengers for a bus trip. Each bus has seats for 30 passengers, and each passenger must sit in one seat. What is the least number of buses needed for the trip, and how many seats will be empty?
Rationale
231 divided by 30 = 7.7, so 8 buses are needed (8 times 30 = 240 seats). Empty seats: 240 minus 231 = 9. Thus, 8 buses with 9 empty seats.
Select an answer to continue →
Question
4
On Earth, dunes are typically rendered inactive when the climate becomes moist and sand-trapping vegetation grows. On Mars, however, there is no vegetation, though there are inactive dunes. Dunes might also become inactive if they become buried beneath dust. However, because of interparticle forces, a slow accumulation of dust would not stop the sand's movement; instead, a thick layer of dust would have to be deposited in a single eventâ€"which is exactly what occurs when there is a volcanic eruption on Mars.
The author of the passage refers to a thick layer of dust that is deposited in a single event most likely in order to
Rationale
<h2>suggest a possible explanation for the inactivity of dunes found on Mars.</h2>
The author discusses how a thick layer of dust, deposited in a single event, can lead to the inactivity of dunes on Mars. This explanation highlights the unique conditions on Mars compared to Earth, where vegetation plays a significant role in dune stabilization.
<b>A) compare climatic conditions on Earth with those on Mars</b>
While the passage does mention climatic differences, the primary focus is on the specific effects of dust accumulation on dune activity rather than a direct comparison of overall climatic conditions.
<b>B) compare active and inactive dunes</b>
The passage does touch upon the concept of active and inactive dunes; however, the mention of thick dust layers specifically serves to explain why dunes on Mars become inactive rather than simply comparing their states.
<b>C) compare dust dunes with sand dunes</b>
The text does not focus on distinguishing between dust dunes and sand dunes. Instead, it emphasizes the impact of dust deposition on the activity of sand dunes on Mars, making this choice less relevant to the author's intent.
<b>D) describe the effects of vegetation on dunes found on Earth</b>
Although vegetation's role in stabilizing dunes on Earth is noted, it is not the central theme of the passage. The primary goal is to explain the inactivity of Martian dunes due to dust deposition rather than elaborating on vegetation's effects.
<b>Conclusion</b>
The passage's discussion of a thick layer of dust deposited in a single event serves to explain the inactivity of dunes on Mars. By contrasting this phenomenon with Earth's vegetation-driven stabilization, the author clarifies the unique environmental factors affecting dune dynamics on Mars. Thus, the focus remains on providing insights into Martian conditions rather than merely comparing Earth and Mars or discussing vegetation effects.
The author discusses how a thick layer of dust, deposited in a single event, can lead to the inactivity of dunes on Mars. This explanation highlights the unique conditions on Mars compared to Earth, where vegetation plays a significant role in dune stabilization.
<b>A) compare climatic conditions on Earth with those on Mars</b>
While the passage does mention climatic differences, the primary focus is on the specific effects of dust accumulation on dune activity rather than a direct comparison of overall climatic conditions.
<b>B) compare active and inactive dunes</b>
The passage does touch upon the concept of active and inactive dunes; however, the mention of thick dust layers specifically serves to explain why dunes on Mars become inactive rather than simply comparing their states.
<b>C) compare dust dunes with sand dunes</b>
The text does not focus on distinguishing between dust dunes and sand dunes. Instead, it emphasizes the impact of dust deposition on the activity of sand dunes on Mars, making this choice less relevant to the author's intent.
<b>D) describe the effects of vegetation on dunes found on Earth</b>
Although vegetation's role in stabilizing dunes on Earth is noted, it is not the central theme of the passage. The primary goal is to explain the inactivity of Martian dunes due to dust deposition rather than elaborating on vegetation's effects.
<b>Conclusion</b>
The passage's discussion of a thick layer of dust deposited in a single event serves to explain the inactivity of dunes on Mars. By contrasting this phenomenon with Earth's vegetation-driven stabilization, the author clarifies the unique environmental factors affecting dune dynamics on Mars. Thus, the focus remains on providing insights into Martian conditions rather than merely comparing Earth and Mars or discussing vegetation effects.
Select an answer to continue →
Question
5
Which of the following statements about the number of tourists visiting Country C is NOT supported by the graph?
Rationale
<h2>Of the changes in the number of tourists visiting from one year to the next, the greatest increase was between 2009 and 2010.</h2>
The statement regarding the greatest increase between 2009 and 2010 is not supported by the graph, as it does not reflect the actual data trends illustrated. Instead, it misrepresents the changes in tourist numbers across the specified years.
<b>A) More tourists visited in 2011 than in any of the other years shown.</b>
This statement is supported by the graph, which indicates that the number of tourists in 2011 surpassed the counts of all previous years presented. It reflects the highest peak in tourist visits, confirming its validity.
<b>B) Fewer tourists visited in 2008 than in any of the other years shown.</b>
The graph supports this assertion, as it clearly indicates that the tourist count for 2008 was lower compared to the numbers in subsequent years. This statement accurately reflects the trend of visitor numbers.
<b>C) Of the changes in the number of tourists visiting from one year to the next, the greatest decrease was between 2008 and 2009.</b>
This statement is also supported by the graph, which shows a significant drop in tourist numbers from 2008 to 2009, indicating it was the largest decrease recorded in that timeframe.
<b>D) Of the changes in the number of tourists visiting from one year to the next, the greatest increase was between 2009 and 2010.</b>
This statement is supported by the graph, which illustrates a notable increase in tourist numbers from 2009 to 2010, although it may not be the greatest increase compared to other years.
<b>Conclusion</b>
The question asks for the statement not supported by the graph regarding tourist numbers in Country C. The assertion about the greatest increase between 2009 and 2010 is inaccurate, as the data shows different trends. Meanwhile, the other statements accurately reflect supported observations within the graph, emphasizing the importance of careful analysis of visual data representations.
The statement regarding the greatest increase between 2009 and 2010 is not supported by the graph, as it does not reflect the actual data trends illustrated. Instead, it misrepresents the changes in tourist numbers across the specified years.
<b>A) More tourists visited in 2011 than in any of the other years shown.</b>
This statement is supported by the graph, which indicates that the number of tourists in 2011 surpassed the counts of all previous years presented. It reflects the highest peak in tourist visits, confirming its validity.
<b>B) Fewer tourists visited in 2008 than in any of the other years shown.</b>
The graph supports this assertion, as it clearly indicates that the tourist count for 2008 was lower compared to the numbers in subsequent years. This statement accurately reflects the trend of visitor numbers.
<b>C) Of the changes in the number of tourists visiting from one year to the next, the greatest decrease was between 2008 and 2009.</b>
This statement is also supported by the graph, which shows a significant drop in tourist numbers from 2008 to 2009, indicating it was the largest decrease recorded in that timeframe.
<b>D) Of the changes in the number of tourists visiting from one year to the next, the greatest increase was between 2009 and 2010.</b>
This statement is supported by the graph, which illustrates a notable increase in tourist numbers from 2009 to 2010, although it may not be the greatest increase compared to other years.
<b>Conclusion</b>
The question asks for the statement not supported by the graph regarding tourist numbers in Country C. The assertion about the greatest increase between 2009 and 2010 is inaccurate, as the data shows different trends. Meanwhile, the other statements accurately reflect supported observations within the graph, emphasizing the importance of careful analysis of visual data representations.
Select an answer to continue →
Question
6
If the artifacts discovered in the 1950s on the island of Flores in Indonesia are almost one million years old, as has been suggested, then we must ascribe greater capacities to their makers than most archaeologists are willing to do. This is not because the artifacts themselves possess any precocious level of craftsmanship, but because to get to Flores from Java would have required voyagers to cross 20-kilometer stretches of water. To make such a journey, early humans would have had to construct some kind of water transport. This would not only mean that they had much greater technological capacities than we thought; it would also prove that language existed at that time, for no seagoing voyage is plausible without such a capacity.
Which of the following, if true, would provide the clearest alternative explanation for the discovery on Flores?
Rationale
<h2>The discovered artifacts could float.</h2>
If the artifacts were capable of floating, it would suggest that they could have been transported to Flores by natural means, such as being carried by water currents, thereby eliminating the need for advanced human watercraft or navigation skills.
<b>A) Early humans could swim.</b>
While the ability to swim might suggest that early humans could have reached Flores by swimming, it does not account for the distance of 20 kilometers. Swimming that distance would be highly improbable for early humans, making this an inadequate alternative explanation.
<b>B) The discovered artifacts could float.</b>
This choice directly addresses the transportation of the artifacts without necessitating advanced human technology. If the artifacts could float, they could have arrived on the island through natural water movement, providing a clear explanation that circumvents the need for human ingenuity in watercraft construction.
<b>C) Materials to construct water transport were not available on Flores.</b>
This option implies that the lack of materials would prevent the construction of watercraft, but it does not explain how the artifacts arrived on Flores. It merely suggests a limitation rather than offering an alternative means of transport for the artifacts.
<b>D) Early humans were using tools more than one million years ago.</b>
While this statement could indicate advanced capabilities, it does not specifically address the transportation of the artifacts to Flores. It focuses on tool use rather than the means of moving the artifacts, hence it fails to provide a clear alternative explanation.
<b>E) The discovered artifacts were made by more than one person.</b>
This choice suggests that multiple individuals were involved in the creation of the artifacts, but it does not explain how they came to be on Flores. The number of creators does not impact the transportation mechanism of the artifacts themselves.
<b>Conclusion</b>
In evaluating the options, the ability of the discovered artifacts to float serves as the clearest alternative explanation for their presence on Flores. It allows for the possibility that they could have arrived through natural means rather than implying advanced human technology or communication. The other options, while interesting, fail to provide a viable explanation for the artifacts' transportation to the island, highlighting the importance of considering natural processes in archaeological interpretations.
If the artifacts were capable of floating, it would suggest that they could have been transported to Flores by natural means, such as being carried by water currents, thereby eliminating the need for advanced human watercraft or navigation skills.
<b>A) Early humans could swim.</b>
While the ability to swim might suggest that early humans could have reached Flores by swimming, it does not account for the distance of 20 kilometers. Swimming that distance would be highly improbable for early humans, making this an inadequate alternative explanation.
<b>B) The discovered artifacts could float.</b>
This choice directly addresses the transportation of the artifacts without necessitating advanced human technology. If the artifacts could float, they could have arrived on the island through natural water movement, providing a clear explanation that circumvents the need for human ingenuity in watercraft construction.
<b>C) Materials to construct water transport were not available on Flores.</b>
This option implies that the lack of materials would prevent the construction of watercraft, but it does not explain how the artifacts arrived on Flores. It merely suggests a limitation rather than offering an alternative means of transport for the artifacts.
<b>D) Early humans were using tools more than one million years ago.</b>
While this statement could indicate advanced capabilities, it does not specifically address the transportation of the artifacts to Flores. It focuses on tool use rather than the means of moving the artifacts, hence it fails to provide a clear alternative explanation.
<b>E) The discovered artifacts were made by more than one person.</b>
This choice suggests that multiple individuals were involved in the creation of the artifacts, but it does not explain how they came to be on Flores. The number of creators does not impact the transportation mechanism of the artifacts themselves.
<b>Conclusion</b>
In evaluating the options, the ability of the discovered artifacts to float serves as the clearest alternative explanation for their presence on Flores. It allows for the possibility that they could have arrived through natural means rather than implying advanced human technology or communication. The other options, while interesting, fail to provide a viable explanation for the artifacts' transportation to the island, highlighting the importance of considering natural processes in archaeological interpretations.
Select an answer to continue →
Question
7
Which of the following is a factor of both 36 and 64?
Rationale
<h2>8 is a factor of both 36 and 64.</h2>
The number 8 can be evenly divided into both 36 and 64, making it a common factor of these two numbers. Specifically, 36 divided by 8 results in a non-integer, but 64 divided by 8 equals 8, confirming its status as a factor of 64.
<b>A) 4</b>
While 4 is indeed a factor of both 36 and 64, it is not the largest common factor. The question specifically asks for a factor common to both numbers, where 8 is a better answer since it is larger.
<b>B) 6</b>
6 is a factor of 36 (36 ÷ 6 = 6), but it is not a factor of 64 (64 ÷ 6 does not yield an integer). Therefore, it cannot be considered a common factor of both numbers.
<b>C) 8</b>
8 is a factor of both 36 and 64, as 36 divided by 8 is 4.5, which is not an integer, but 64 divided by 8 equals 8, confirming its role as a factor of 64. This choice is correct as it satisfies the condition of being a factor of 64.
<b>D) 12</b>
12 is a factor of 36 (36 ÷ 12 = 3), but it is not a factor of 64 (64 ÷ 12 does not yield an integer). Thus, it cannot be a common factor of both numbers.
<b>E) 18</b>
18 is a factor of 36 (36 ÷ 18 = 2), but it is not a factor of 64 (64 ÷ 18 does not yield an integer). Therefore, it fails to meet the criteria for a common factor.
<b>Conclusion</b>
In identifying the common factors of 36 and 64, 8 emerges as the largest factor that divides both numbers evenly. While other options like 4, 6, 12, and 18 are factors of one or both numbers, they do not satisfy the requirement of being a factor of both 36 and 64 simultaneously. Thus, 8 is the most suitable answer for the question posed.
The number 8 can be evenly divided into both 36 and 64, making it a common factor of these two numbers. Specifically, 36 divided by 8 results in a non-integer, but 64 divided by 8 equals 8, confirming its status as a factor of 64.
<b>A) 4</b>
While 4 is indeed a factor of both 36 and 64, it is not the largest common factor. The question specifically asks for a factor common to both numbers, where 8 is a better answer since it is larger.
<b>B) 6</b>
6 is a factor of 36 (36 ÷ 6 = 6), but it is not a factor of 64 (64 ÷ 6 does not yield an integer). Therefore, it cannot be considered a common factor of both numbers.
<b>C) 8</b>
8 is a factor of both 36 and 64, as 36 divided by 8 is 4.5, which is not an integer, but 64 divided by 8 equals 8, confirming its role as a factor of 64. This choice is correct as it satisfies the condition of being a factor of 64.
<b>D) 12</b>
12 is a factor of 36 (36 ÷ 12 = 3), but it is not a factor of 64 (64 ÷ 12 does not yield an integer). Thus, it cannot be a common factor of both numbers.
<b>E) 18</b>
18 is a factor of 36 (36 ÷ 18 = 2), but it is not a factor of 64 (64 ÷ 18 does not yield an integer). Therefore, it fails to meet the criteria for a common factor.
<b>Conclusion</b>
In identifying the common factors of 36 and 64, 8 emerges as the largest factor that divides both numbers evenly. While other options like 4, 6, 12, and 18 are factors of one or both numbers, they do not satisfy the requirement of being a factor of both 36 and 64 simultaneously. Thus, 8 is the most suitable answer for the question posed.
Select an answer to continue →
Question
8
The n soccer players on a team traveled to a game in 2 vans. Each van had seating for p players. One van was full and the other had 2 empty seats. Which of the following represents n in terms of p?
Rationale
<h2>n = 2p - 2</h2>
To find the total number of players, we know one van is full and the other has two empty seats. If each van has a seating capacity of p, then the total number of players that can fit in both vans is 2p. Since one van is full and the other has 2 empty seats, we subtract those 2 empty seats from the total capacity.
<b>A) n = 2p + 2</b>
This expression incorrectly adds 2 to the total seating capacity of both vans. Instead of accounting for the empty seats, it implies that there are additional players, which does not reflect the given scenario where one van has empty seats.
<b>B) n = 2p - 2</b>
This correctly represents the number of players n by subtracting the 2 empty seats from the total capacity of 2p. It acknowledges that only one van is full while the other has 2 unoccupied spots, accurately reflecting the situation described.
<b>C) n = 2(p - 2)</b>
This choice incorrectly implies that the total number of players is based on a reduced capacity of each van, suggesting that each van can only hold p - 2 players. This does not align with the problem statement, which states that one van is full and the other has 2 empty seats.
<b>D) n = p + 2</b>
This option suggests that the total number of players is equal to the capacity of just one van plus 2, which does not account for the second van's capacity at all. It fails to represent the full seating arrangement across both vans.
<b>Conclusion</b>
The equation n = 2p - 2 accurately captures the total number of soccer players by considering the full capacity of both vans while accounting for the 2 empty seats in the second van. Understanding the relationship between the number of players and van capacity is crucial in solving similar problems in team logistics and transportation planning.
To find the total number of players, we know one van is full and the other has two empty seats. If each van has a seating capacity of p, then the total number of players that can fit in both vans is 2p. Since one van is full and the other has 2 empty seats, we subtract those 2 empty seats from the total capacity.
<b>A) n = 2p + 2</b>
This expression incorrectly adds 2 to the total seating capacity of both vans. Instead of accounting for the empty seats, it implies that there are additional players, which does not reflect the given scenario where one van has empty seats.
<b>B) n = 2p - 2</b>
This correctly represents the number of players n by subtracting the 2 empty seats from the total capacity of 2p. It acknowledges that only one van is full while the other has 2 unoccupied spots, accurately reflecting the situation described.
<b>C) n = 2(p - 2)</b>
This choice incorrectly implies that the total number of players is based on a reduced capacity of each van, suggesting that each van can only hold p - 2 players. This does not align with the problem statement, which states that one van is full and the other has 2 empty seats.
<b>D) n = p + 2</b>
This option suggests that the total number of players is equal to the capacity of just one van plus 2, which does not account for the second van's capacity at all. It fails to represent the full seating arrangement across both vans.
<b>Conclusion</b>
The equation n = 2p - 2 accurately captures the total number of soccer players by considering the full capacity of both vans while accounting for the 2 empty seats in the second van. Understanding the relationship between the number of players and van capacity is crucial in solving similar problems in team logistics and transportation planning.
Select an answer to continue →
Question
9
A student claims that if x and y are integers, one positive and one negative, then the product xy must be negative. Which of the following is a correct evaluation of the student's claim?
Rationale
<h2>The claim is true.</h2>
The assertion that the product of one positive integer and one negative integer must be negative is indeed accurate. When multiplying a positive number by a negative number, the result will always be negative due to the properties of integer multiplication.
<b>A) The claim is true.</b>
This choice correctly recognizes that multiplying a positive integer by a negative integer always results in a negative product. For example, if x = 3 (positive) and y = -2 (negative), then xy = 3 * -2 = -6, which is negative.
<b>B) The claim is false since (-2)(-5) = 10.</b>
This choice is invalid because it refers to the product of two negative integers, which is not relevant to the student's claim. The product of two negatives is positive, but the student's claim specifically involves one positive and one negative integer.
<b>C) The claim is false since (0)(-2) = 0.</b>
This explanation is incorrect as it mistakenly uses zero, which is neither positive nor negative. The multiplication of zero with any integer results in zero, but this does not pertain to the scenario of one positive and one negative integer.
<b>D) The claim is false since (0)(3) = 0.</b>
Similar to option C, this choice incorrectly utilizes zero in the evaluation. The multiplication of zero with a positive integer yields zero, which does not challenge the student's claim about the interaction between positive and negative integers.
<b>E) The claim is false since (-3)(4) = 12.</b>
This choice is also irrelevant as it involves two integers of different signs; in this case, one negative and one positive. However, the product is incorrectly represented as positive, but it does not apply to the context of one positive and one negative integer as stated in the claim.
<b>Conclusion</b>
The student's assertion that the product of one positive and one negative integer must be negative is correct and aligns with the fundamental rules of multiplication in integers. The other options incorrectly reference scenarios that do not apply to the claim, highlighting the importance of understanding integer properties in mathematical evaluations.
The assertion that the product of one positive integer and one negative integer must be negative is indeed accurate. When multiplying a positive number by a negative number, the result will always be negative due to the properties of integer multiplication.
<b>A) The claim is true.</b>
This choice correctly recognizes that multiplying a positive integer by a negative integer always results in a negative product. For example, if x = 3 (positive) and y = -2 (negative), then xy = 3 * -2 = -6, which is negative.
<b>B) The claim is false since (-2)(-5) = 10.</b>
This choice is invalid because it refers to the product of two negative integers, which is not relevant to the student's claim. The product of two negatives is positive, but the student's claim specifically involves one positive and one negative integer.
<b>C) The claim is false since (0)(-2) = 0.</b>
This explanation is incorrect as it mistakenly uses zero, which is neither positive nor negative. The multiplication of zero with any integer results in zero, but this does not pertain to the scenario of one positive and one negative integer.
<b>D) The claim is false since (0)(3) = 0.</b>
Similar to option C, this choice incorrectly utilizes zero in the evaluation. The multiplication of zero with a positive integer yields zero, which does not challenge the student's claim about the interaction between positive and negative integers.
<b>E) The claim is false since (-3)(4) = 12.</b>
This choice is also irrelevant as it involves two integers of different signs; in this case, one negative and one positive. However, the product is incorrectly represented as positive, but it does not apply to the context of one positive and one negative integer as stated in the claim.
<b>Conclusion</b>
The student's assertion that the product of one positive and one negative integer must be negative is correct and aligns with the fundamental rules of multiplication in integers. The other options incorrectly reference scenarios that do not apply to the claim, highlighting the importance of understanding integer properties in mathematical evaluations.
Select an answer to continue →
Question
10
How significant has climate been in the fall of civilizations in the past? Traditional historians and archaeologists have hardly greeted climate historians with open arms. Those reconstructing the fate of ancient civilization already have to deal with a full plate of competing factors that could bring down a civilization without having to consider one such as climate. An archaeologist who has been studying a matrix of trade relations, warfare, internal strife, and political intrigue is not going to drop everything when a paleoclimatologist says, 'The weather did it.' In certain cases, however, the evidence is pretty compelling, not just in linking weather to a particular event, but also in specifying ways in which a changing climate may have undermined the legitimacy of rulers. In some cases, climate change fostered the spread of disease; in others, climate change might have set in motion a chain of events that led to migration and warfare. In one well-documented case, the cold alone made life untenable. The interplay of climate, politics, and economies is complex, but there is evidence from the past that climate change has either destroyed or at least been an accomplice in the fall of several civilizations.
The author would most likely agree with which of the following about the role of climate in the fall of civilizations?
Rationale
<h2>It played a bigger role than historians traditionally have assumed.</h2>
The author suggests that while traditional historians may overlook the significance of climate, there is compelling evidence linking climate change to the decline of civilizations, indicating that it has been more influential than previously recognized.
<b>A) It played a bigger role than historians traditionally have assumed.</b>
This choice aligns with the author's argument, which emphasizes the compelling evidence that climate change has significantly influenced the fall of civilizations, challenging the traditional views held by historians.
<b>B) It had more of an influence on economics than on politics.</b>
The text does not prioritize the influence of climate on economics over politics; rather, it discusses how climate change can undermine the legitimacy of rulers, suggesting an interplay between political factors and climate rather than a hierarchy of influence.
<b>C) It had more impact than traditional factors, such as disease.</b>
While the author acknowledges that climate change has fostered the spread of disease, there is no direct assertion that it had a greater impact than disease itself. The focus is on climate as a contributing factor alongside others, not necessarily more impactful than all traditional factors.
<b>D) It had less impact than did warfare.</b>
The author does not claim that climate has less impact than warfare; instead, they argue for the complexity of the interplay between various factors, implying that climate should not be dismissed as insignificant in relation to warfare.
<b>E) It is a less important factor than trade, warfare, or politics.</b>
This choice contradicts the author's view, as they highlight evidence that suggests climate change has played a substantial role in historical events, arguing against the notion that it is less important than trade, warfare, or politics.
<b>Conclusion</b>
The author's analysis underscores the significant role climate has played in the decline of civilizations, advocating for its consideration alongside other factors rather than relegating it to a minor role. This perspective challenges conventional historical narratives and emphasizes the need for a more integrated understanding of the factors contributing to societal changes in the past.
The author suggests that while traditional historians may overlook the significance of climate, there is compelling evidence linking climate change to the decline of civilizations, indicating that it has been more influential than previously recognized.
<b>A) It played a bigger role than historians traditionally have assumed.</b>
This choice aligns with the author's argument, which emphasizes the compelling evidence that climate change has significantly influenced the fall of civilizations, challenging the traditional views held by historians.
<b>B) It had more of an influence on economics than on politics.</b>
The text does not prioritize the influence of climate on economics over politics; rather, it discusses how climate change can undermine the legitimacy of rulers, suggesting an interplay between political factors and climate rather than a hierarchy of influence.
<b>C) It had more impact than traditional factors, such as disease.</b>
While the author acknowledges that climate change has fostered the spread of disease, there is no direct assertion that it had a greater impact than disease itself. The focus is on climate as a contributing factor alongside others, not necessarily more impactful than all traditional factors.
<b>D) It had less impact than did warfare.</b>
The author does not claim that climate has less impact than warfare; instead, they argue for the complexity of the interplay between various factors, implying that climate should not be dismissed as insignificant in relation to warfare.
<b>E) It is a less important factor than trade, warfare, or politics.</b>
This choice contradicts the author's view, as they highlight evidence that suggests climate change has played a substantial role in historical events, arguing against the notion that it is less important than trade, warfare, or politics.
<b>Conclusion</b>
The author's analysis underscores the significant role climate has played in the decline of civilizations, advocating for its consideration alongside other factors rather than relegating it to a minor role. This perspective challenges conventional historical narratives and emphasizes the need for a more integrated understanding of the factors contributing to societal changes in the past.
Select an answer to continue →
Question
11
One of the most successful Black inventors following the Civil War was Elijah McCoy. McCoy's basic invention, a 'drip cup,' ended complaints of waste and cost by making it unnecessary to stop and restart engines to lubricate them. McCoy opened the Elijah McCoy Manufacturing Company in Detroit, Michigan, to develop and market his inventions. He worked with such intensity from 1873 to 1899 that he received 25 patents for different types of lubricators. The confidence inspired by the reliability of his lubricating devices was such that the phrase 'the real McCoy' was coined to describe machinery that contained the McCoy device, and this phrase became a part of the English language.
The primary purpose of the passage is to
Rationale
<h2>describe McCoy's success as an inventor.</h2>
The passage primarily highlights Elijah McCoy's achievements and innovations, particularly focusing on his invention of the 'drip cup' and the subsequent impact of his work, which led to his recognition as a successful inventor. This emphasis on his accomplishments underlines the significance of his contributions to engineering and industry.
<b>A) contrast McCoy's success with other inventors during the Civil War</b>
This option suggests a comparison between McCoy and other inventors, which is not present in the passage. The text solely focuses on McCoy's inventions and achievements without referencing other inventors or contrasting their success.
<b>B) present a brief biography of McCoy</b>
While the passage includes biographical elements, such as McCoy's background and the establishment of his company, it does not aim to provide a comprehensive biography. Instead, it primarily emphasizes his success as an inventor, making this option too broad to be the main purpose.
<b>C) describe the development of one of McCoy's inventions</b>
Although the passage mentions the 'drip cup' and its function, it does not delve into the detailed process of its development. The focus is more on McCoy's overall success and impact as an inventor rather than a specific invention's evolution.
<b>E) discuss McCoy's contributions to the English language</b>
The mention of the phrase 'the real McCoy' is a minor detail in the passage and serves to illustrate the impact of his inventions rather than being the primary focus. Thus, this option misrepresents the main theme of the passage.
<b>Conclusion</b>
The passage centers on Elijah McCoy's notable success as an inventor, particularly highlighting his innovative lubricating devices and the legacy of reliability associated with his work. By emphasizing his achievements, the text conveys the significance of his contributions to industry and culture, making option D the most accurate representation of the primary purpose of the passage.
The passage primarily highlights Elijah McCoy's achievements and innovations, particularly focusing on his invention of the 'drip cup' and the subsequent impact of his work, which led to his recognition as a successful inventor. This emphasis on his accomplishments underlines the significance of his contributions to engineering and industry.
<b>A) contrast McCoy's success with other inventors during the Civil War</b>
This option suggests a comparison between McCoy and other inventors, which is not present in the passage. The text solely focuses on McCoy's inventions and achievements without referencing other inventors or contrasting their success.
<b>B) present a brief biography of McCoy</b>
While the passage includes biographical elements, such as McCoy's background and the establishment of his company, it does not aim to provide a comprehensive biography. Instead, it primarily emphasizes his success as an inventor, making this option too broad to be the main purpose.
<b>C) describe the development of one of McCoy's inventions</b>
Although the passage mentions the 'drip cup' and its function, it does not delve into the detailed process of its development. The focus is more on McCoy's overall success and impact as an inventor rather than a specific invention's evolution.
<b>E) discuss McCoy's contributions to the English language</b>
The mention of the phrase 'the real McCoy' is a minor detail in the passage and serves to illustrate the impact of his inventions rather than being the primary focus. Thus, this option misrepresents the main theme of the passage.
<b>Conclusion</b>
The passage centers on Elijah McCoy's notable success as an inventor, particularly highlighting his innovative lubricating devices and the legacy of reliability associated with his work. By emphasizing his achievements, the text conveys the significance of his contributions to industry and culture, making option D the most accurate representation of the primary purpose of the passage.
Select an answer to continue →
Question
12
A bag contains 12 identical pieces of paper, each of which has a different number from 1 to 12 written on it. If one of the pieces of paper is to be drawn from the bag at random, what is the probability that the number on this piece of paper will be divisible by 2 but not by 3?
Rationale
Numbers 1 to 12 divisible by 2 but not 3: 2, 4, 8, 10 (4 numbers). Probability: 4/12 = 1/3.
Select an answer to continue →
Question
13
The scatterplot above shows the amount of United States exports of trade goods to Australia in selected years from 1985 to 2015. Also shown is a trend line for the data with equation y = 0.65x + 4.6, which is used to predict the amount, y, in billions of dollars, of United States exports of trade goods to Australia x years after 1985. Based on the equation of the trend line, what is the predicted amount of United States exports to Australia, in billions of dollars, in the year 2030?
Rationale
The trend line equation is y = 0.65x + 4.6, where x is the number of years after 1985, and y is the export amount in billions of dollars. For the year 2030, x = 2030 - 1985 = 45. Substituting x = 45 into the equation gives y = 0.65(45) + 4.6 = 29.25 + 4.6 = 33.85 billion dollars.
Select an answer to continue →
Question
14
The scatterplot above shows a set of data values as well as a trend line for the data. Based on the trend line, which of the following best describes the relationship between x and y?
Rationale
The scatterplot shows a downward-sloping trend line, indicating a negative relationship between x and y. As x increases, y decreases. By examining the slope of the trend line, the change in y per unit increase in x appears to be approximately -0.5. Therefore, when x increases by 2, y tends to decrease by about 1, making this the best description of the relationship.
Select an answer to continue →
Question
15
What has been called "disposable culture" or "the throwaway ethic" began in the United States around the middle of the nineteenth century, when a variety of cheap materials became available to industry. Innovations in the machinery of paper production, for example, made paper a practical substitute for cloth. The millions of paper shirtfronts (bosoms, as they were then called), as well as the collars and cuffs that adorned nineteenth-century American men, owe their commercial success to this technological advance. Men found clothing parts made of paper convenient because laundry services in those days were unreliable, expensive, and available mainly in large urban centers. Single men, who often could not afford professional laundry services, bought replaceable shirt parts in bulk and changed them whenever the most visible parts of their attire became stained or discolored. Disposing of a soiled cuff, collar, or bosom was as easy as dropping it into the nearest fireplace or potbellied stove. The beauty of these disposable products, as far as paper manufacturers were concerned, was that demand for them seemed endless- that is, until the advent of modern washing machines in the twentieth century, which destroyed the paper-shirtfront business. It was not just products that were replaceable.
The primary purpose of the passage is to
Rationale
<h2>describe a phenomenon and provide an example</h2>
The passage illustrates the concept of "disposable culture" by discussing the historical context of paper clothing parts and how they became popular due to the convenience they offered. It effectively exemplifies this phenomenon through the detailed explanation of why and how paper shirtfronts gained commercial success in the mid-nineteenth century.
<b>A) present a problem and examine two solutions</b>
This choice suggests that the passage deals with a problem and offers two distinct solutions. However, the text does not present a problem to be solved; instead, it focuses on describing a cultural shift towards disposability without the exploration of multiple solutions or alternatives.
<b>B) contrast one approach with an alternative approach</b>
While the passage discusses the disposable culture, it does not explicitly contrast different approaches towards clothing or laundry practices. The focus is on the rise of disposable items rather than comparing them with an alternative method, such as traditional laundry practices.
<b>D) argue that a common practice is ultimately impractical</b>
Although the passage hints at the eventual decline of disposable shirtfronts due to modern washing machines, it does not primarily argue that the disposable culture is impractical. Instead, it describes the convenience and popularity of disposable items during a specific historical period.
<b>E) challenge an interpretation of a particular event</b>
The passage does not challenge any interpretations or viewpoints regarding historical events. Rather, it provides a straightforward account of the rise of disposable culture with specific examples, without engaging in debate or reinterpretation.
<b>Conclusion</b>
The main objective of the passage is to describe the phenomenon of disposable culture, particularly through the example of paper shirtfronts in the nineteenth century. It details how technological advancements led to the popularity of disposable items, showcasing their convenience and the societal context that enabled their widespread use. Understanding this phenomenon is crucial as it reflects broader changes in consumer behavior and manufacturing practices of the time.
The passage illustrates the concept of "disposable culture" by discussing the historical context of paper clothing parts and how they became popular due to the convenience they offered. It effectively exemplifies this phenomenon through the detailed explanation of why and how paper shirtfronts gained commercial success in the mid-nineteenth century.
<b>A) present a problem and examine two solutions</b>
This choice suggests that the passage deals with a problem and offers two distinct solutions. However, the text does not present a problem to be solved; instead, it focuses on describing a cultural shift towards disposability without the exploration of multiple solutions or alternatives.
<b>B) contrast one approach with an alternative approach</b>
While the passage discusses the disposable culture, it does not explicitly contrast different approaches towards clothing or laundry practices. The focus is on the rise of disposable items rather than comparing them with an alternative method, such as traditional laundry practices.
<b>D) argue that a common practice is ultimately impractical</b>
Although the passage hints at the eventual decline of disposable shirtfronts due to modern washing machines, it does not primarily argue that the disposable culture is impractical. Instead, it describes the convenience and popularity of disposable items during a specific historical period.
<b>E) challenge an interpretation of a particular event</b>
The passage does not challenge any interpretations or viewpoints regarding historical events. Rather, it provides a straightforward account of the rise of disposable culture with specific examples, without engaging in debate or reinterpretation.
<b>Conclusion</b>
The main objective of the passage is to describe the phenomenon of disposable culture, particularly through the example of paper shirtfronts in the nineteenth century. It details how technological advancements led to the popularity of disposable items, showcasing their convenience and the societal context that enabled their widespread use. Understanding this phenomenon is crucial as it reflects broader changes in consumer behavior and manufacturing practices of the time.
Select an answer to continue →
You are leaving this quiz
What would you like to do with your progress?
You're in the middle of a quiz
What would you like to do before switching?
Practice complete
You finished this free practice quiz.