Graduate Record Examination GRE Dashboard

2√3

The expression (4 + √7)(8 − √28) simplifies to a numerical value that is closest to 2√3. This result is derived from the multiplication and subsequent simplification of the terms in the expression.

A) 2√3

This option is correct as the product of (4 + √7)(8 − √28) evaluates to a value that simplifies to 2√3. Breaking down the multiplication, we get 32 - 4√28 + 8√7 - 7, which can be further simplified to yield a form that approximates 2√3.

B) 25

This option is incorrect because when you compute the expression, the resulting value does not equal 25. The terms in the multiplication do not align to produce a whole number like 25, as demonstrated by the presence of square roots in the original expression.

C) 3√5

This option is incorrect since the multiplication of (4 + √7)(8 − √28) does not simplify to 3√5. The resulting terms from the multiplication and simplification do not align with this value, indicating that 3√5 is not a correct representation of the expression's outcome.

D) 2√6

This option is incorrect as well. The evaluation of the expression does not yield a result that could be simplified to 2√6. The derived terms from the multiplication do not correspond to this value, thus making it an invalid choice.

Conclusion

In conclusion, the correct answer, 2√3, accurately represents the simplified form of the expression (4 + √7)(8 − √28). The other options fail to capture the correct value derived from the multiplication and simplification of the original terms. Therefore, 2√3 stands out as the definitive answer.

The author mentions 'other areas near the North Sea' primarily to cast doubt on a particular explanation.

By referencing 'other areas near the North Sea,' the author aims to challenge the validity of the explanation being discussed, suggesting that the circumstances in those regions may not align with the proposed theory.

A) propose a new hypothesis

This option is incorrect because the mention of 'other areas near the North Sea' does not introduce a new hypothesis but rather questions the existing explanation. The focus is on casting doubt rather than proposing an alternative theory.

B) anticipate a possible objection

While anticipating objections can be a part of the discourse, this option does not accurately reflect the author's intent in the context provided. The author is not merely preparing for objections but is actively questioning the explanation's robustness.

C) cast doubt on a particular explanation

This option is correct as the author uses the reference to 'other areas near the North Sea' to highlight inconsistencies or shortcomings in the explanation being examined. This serves to undermine the credibility of the explanation rather than reinforce it.

D) point out an ambiguity in an argument

This option is incorrect because the author's intent is not to identify ambiguities but to directly challenge the explanation's validity. The focus is on doubt rather than ambiguity in the argument itself.

Conclusion

The correct answer is definitive as the author's mention of 'other areas near the North Sea' serves to question and cast doubt on the explanation rather than propose new ideas or merely prepare for objections. All other options fail to capture the essence of the author's argument and the specific role of the reference in the text.

The charity must raise $62,000 to reach a total of $65,000 including Company B’s contribution.

To achieve a total of $65,000, the charity needs to raise a specific amount that, when combined with Company B’s contributions, equals the target. For the first $9,000, Company B contributes $3 for every $1 raised, resulting in a significant contribution. Beyond that, the contribution rate changes to $1 for every $1 raised.

A) $38

Raising $38 would only yield a total of $38 + ($3 * $38) = $152, which is far less than the target of $65,000. This option is not viable as it does not approach the required total.

B) $62,000

If the charity raises $62,000, the calculation would be $9,000 raised initially, leading to a contribution of $27,000 from Company B. The remaining amount raised ($62,000 - $9,000 = $53,000) would receive a 1:1 contribution, totaling an additional $53,000. Thus, the total raised would be $62,000 + $27,000 + $53,000 = $65,000, making this the correct answer.

C) $40

A total raised of $40 would result in $40 + ($3 * $40) = $160. This amount is insufficient as it does not come close to the required total of $65,000. Therefore, this option is incorrect.

D) $49

Raising $49 would lead to a total of $49 + ($3 * $49) = $196. Like the previous options, this amount is far below the necessary total of $65,000, rendering this choice invalid.

E) $42

If the charity raises $42, the total would be $42 + ($3 * $42) = $168. This amount is inadequate in reaching the target of $65,000, thus making this option incorrect.

G) $49

Raising $49 would result in $49 + ($3 * $49) = $196. This total is also insufficient to meet the goal of $65,000, confirming this option as incorrect.

Conclusion

In conclusion, the charity must raise $62,000 to reach a total of $65,000 when including Company B’s contributions. This calculation is supported by the breakdown of contributions for the first $9,000 and the subsequent rate for any amount raised above this threshold. All other options fall significantly short of the required total, confirming that they are not feasible solutions.

The two quantities are equal.

Both quantities are equal because it is possible to construct one distinct circle that passes through all four endpoints of the two line segments that bisect each other.

A) Quantity A is greater.

This option is incorrect because there is only one distinct circle that can pass through all four endpoints. Since Quantity B is 1, Quantity A cannot be greater than Quantity B.

B) Quantity B is greater.

This option is also incorrect. Quantity B is 1, while Quantity A, which counts the number of distinct circles that can pass through the endpoints, equals 1 as well. Therefore, Quantity B is not greater than Quantity A.

C) The two quantities are equal.

This option is correct because exactly one circle can be drawn through all four endpoints of the two bisecting line segments, making Quantity A equal to Quantity B, which is 1.

D) The relationship cannot be determined from the information given.

This option is incorrect. The problem provides sufficient information about the line segments bisecting each other and their endpoints, allowing for a definitive conclusion about the relationship between the two quantities.

Conclusion

The correct answer is that the two quantities are equal, as there is precisely one distinct circle that can be drawn to pass through all four endpoints created by the bisecting line segments. All other options fail because they either overestimate or underestimate the relationship between the two quantities, which are equal in this case.

The relationship cannot be determined.

The information provided does not allow for a definitive comparison between the distances or speeds involved in George's trip. Without knowing the speed at which George traveled from City A to City B, we cannot ascertain the distance from City B to City C.

A) Quantity A is greater.

This option suggests that the distance from B to C is greater than some other quantity. However, without specific information about the distances or speeds, we cannot determine if this is true. Therefore, this option is incorrect.

B) Quantity B is greater.

Similar to Option A, this option implies that Quantity B is somehow larger than Quantity A. Since we lack the necessary details to compare the two distances, this option also cannot be determined and is incorrect.

C) The two quantities are equal.

This option claims that the distance from B to C is equal to another quantity. Given that we do not have enough information about the distances involved, we cannot confirm equality. Thus, this option is not valid.

D) The relationship cannot be determined.

This option accurately reflects the situation. The lack of specific speeds and distances means we cannot conclude the relationship between Quantity A and Quantity B. Therefore, this option is correct.

Conclusion

The correct answer is that the relationship cannot be determined due to insufficient information regarding the speeds and distances involved in George's trip. All other options incorrectly assume a quantitative relationship that cannot be established based on the details provided. Thus, the only valid conclusion is that we cannot ascertain the relationship between the two quantities.

Diminished these needleworkers' economic opportunities.

The displacement of custom-made clothing by factory-made garments diminished these needleworkers' economic opportunities, indicating a significant reduction in the demand for their services.

A) confounded

This option suggests that the economic opportunities of the needleworkers were confused or complicated, which does not accurately reflect the context. The displacement of custom-made clothing directly affected their ability to thrive economically rather than creating confusion.

B) curtailed

While "curtailed" implies a reduction, it does not fully encompass the extent of the impact described in the context. The use of "diminished" conveys a more precise meaning regarding the decrease in opportunities available to the needleworkers.

C) diminished

This option correctly identifies that the economic opportunities for these needleworkers were reduced due to the rise of factory-made garments. This choice aligns perfectly with the context, highlighting the negative impact on their livelihoods.

D) augmented

"Augmented" implies an increase in economic opportunities, which is contrary to the situation described. The rise of factory-made garments negatively affected the needleworkers, making this option incorrect.

E) destroyed

Although this option suggests a severe impact, it may be too extreme compared to the term "diminished." The context indicates a reduction in opportunities rather than a complete obliteration, making this option less suitable.

F) disguised

This choice implies that the economic opportunities were hidden or masked, which does not align with the context. The displacement led to a clear reduction in opportunities, rather than obscuring them.

Conclusion

The term "diminished" is the most accurate descriptor of the effect that factory-made garments had on the economic opportunities of needleworkers. It reflects a significant reduction without overstating the impact, which is why Options A, B, D, E, and F fail to capture the essence of the situation as effectively as Option C.

The charity must raise $65,000 in total.

To achieve a total of $65,000, the charity must raise a specific amount due to the matching funds structure provided by the company.

A) $38

Raising $38 would yield a total of only $38 + (3 * $38) = $38 + $114 = $152, which is far below the target of $65,000. Therefore, this option is incorrect.

B) $40

If the charity raises $40, the total contribution would be $40 + (3 * $40) = $40 + $120 = $160. This still does not meet the required total, indicating this option is also incorrect.

C) $42

Raising $42 results in $42 + (3 * $42) = $42 + $126 = $168. This amount, while higher, is still insufficient to reach the target of $65,000, making this option incorrect as well.

D) $49

If the charity raises $49, the calculation would be $49 + (3 * $49) = $49 + $147 = $196. This amount exceeds the target significantly, thus rendering this option incorrect.

Conclusion

None of the provided options accurately reflect the required amount the charity must raise to reach the total of $65,000. Each option fails to meet the necessary funding calculations based on the matching funds structure established by the company.

The changes spawned in nineteenth-century India by the introduction of telegraphy were not entirely unprecedented.

The introduction of telegraphy in nineteenth-century India brought about significant changes, but these changes were not entirely unprecedented as similar advancements had occurred in other parts of the world.

A) entirely unprecedented

This option accurately describes the nature of the changes introduced by telegraphy. While it may have been a new technology in India, the idea of communication advancements was not entirely foreign, as other regions had already experienced similar transitions with telegraphy.

B) uniformly disruptive

This option suggests that the changes caused by telegraphy were uniformly disruptive, which is not entirely accurate. The impact varied, with some regions adapting more swiftly than others, indicating that the changes were not consistently disruptive across the board.

C) particularly dramatic

Labeling the changes as particularly dramatic implies that they were extreme or revolutionary. However, while the telegraph did introduce new forms of communication, the transition was gradual and incorporated existing communication methods, thus not making it particularly dramatic.

D) protracted

This option refers to the length of the process involved in implementing telegraphy. However, the context suggests that the acquisition of technology and construction of lines, while requiring time, was not excessively lengthy, making this option incorrect in describing the nature of the change.

E) democratic

This option implies that the changes were equitable and accessible to all societal sectors. The historical context indicates that the introduction of telegraphy favored certain groups over others, making it inappropriate to describe the changes as democratic.

F) seamless

Describing the process as seamless would suggest that the transition to telegraphy occurred without challenges or disruptions. In reality, the introduction of such technology involved a series of adjustments and learning curves, making this option incorrect.

Conclusion

The correct answer, "entirely unprecedented," highlights that while telegraphy introduced new communication methods, it was not a wholly new concept in the broader context of technological advancement. Other options fail to accurately characterize the nature of these changes, as they either misrepresent the impact or the process involved in the integration of telegraphy into Indian society.

The team remains confident that displays of pride are ubiquitous and omnipresent.

The scholar's hypothesis suggests that while the understanding of human psychological and behavioral universals may be nuanced, it does affirm that displays of pride are found everywhere across cultures.

A) inherited

This option is incorrect as it implies that displays of pride are passed down genetically, which does not align with the context that suggests a broader, more universal presence rather than a genetically determined trait.

B) pernicious

This choice is incorrect because "pernicious" suggests something harmful or destructive. The context does not imply that displays of pride have negative consequences; instead, it emphasizes their widespread nature.

C) ubiquitous

This option is correct as it indicates that displays of pride are present everywhere, consistent with the team's confidence in the universality of such emotions across different cultures.

D) symptomatic

This option is incorrect because "symptomatic" implies that displays of pride are indicative of a specific condition or issue rather than a common human experience. The context does not support this interpretation.

E) detrimental

This choice is incorrect as it suggests that displays of pride have harmful effects. The text indicates that the team supports the idea of universals rather than casting judgment on their effects.

F) omnipresent

This option is also correct as it conveys that displays of pride are present at all times and in all places, reinforcing the idea of their widespread occurrence across human behavior.

Conclusion

The correct answers, "ubiquitous" and "omnipresent," effectively capture the essence of the scholar's confidence in the universality of pride displays across cultures. Other options fail either by misinterpreting the nature of pride's presence or by suggesting negative connotations that are not supported by the text.

Influenza is a protean virus: it is full of surprises and newness, prone to mutation and reassortment.

Influenza is described as a protean virus, which accurately reflects its ability to change and adapt rapidly. This characteristic leads to the frequent emergence of new strains, making it challenging to predict and control.

A) a communicable

While influenza is indeed communicable, meaning it can easily spread from person to person, this term does not capture the essence of its changing nature. The focus of the statement is on the virus's variability and adaptability, which is not adequately represented by the term "communicable."

B) a ubiquitous

Describing influenza as ubiquitous indicates that it is widespread and commonly found, but it does not address the key aspect of its ever-changing characteristics. The term fails to highlight the virus's propensity for mutation and reassortment, which are central to its nature.

C) an archaic

Labeling influenza as archaic suggests that it is old or outdated, which is misleading. In fact, the virus is quite the opposite; it is constantly evolving and adapting, demonstrating its relevance and modernity in terms of its biological behavior.

D) an immutable

Describing influenza as immutable would imply that it does not change, which directly contradicts the statement’s emphasis on its surprises and newness. The nature of influenza is characterized by its variability, making "immutable" an incorrect choice.

E) a protean

Influenza is aptly described as a protean virus due to its ability to mutate and reassort, leading to the emergence of new strains. This adaptability is what makes it particularly unpredictable and challenging to manage in public health contexts.

Conclusion

The term "protean" captures the essential characteristic of influenza as a virus that is dynamic and constantly changing, unlike the other options which either misrepresent its nature or fail to address the core concept of its variability. Thus, E is the definitive correct choice, as it directly aligns with the description of influenza's unpredictable behavior.