Tüm alıştırma soruları

2131 soru

Soru 1221Soru

Read the passage below and determine the word that best completes the sentence based on the structural clues and transition signals.

Aşağıdaki boşlukları doldurun

While early twentieth-century palaeobiologists routinely conceptualized evolutionary stasis as an artifact of an incomplete fossil record, modern cladistic analyses suggest that phenotypic persistence over vast geological epochs is rarely a passive consequence of sample omission. Far from being merely , stasis typically reflects active stabilizing selection that maintains morphological equilibrium across lineages despite persistent environmental fluctuations. Consequently, the apparent absence of transitional morphology must be understood not as a methodological flaw in the archival record, but as a genuine biological signature of evolutionary constraint.
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Cevap

illusory (or acceptable contextually equivalent terms such as spurious or epiphenomenal)
The passage pivots on two major structural contrast signals. First, the opening 'While' contrasts the legacy view of evolutionary stasis as an 'artifact of an incomplete fossil record' with modern cladistic insights. Second, the local reversal signal 'Far from being merely [blank]' establishes that the word in the blank represents the discredited view (that stasis is fake or an optical illusion of sampling) in contrast to the reality ('active stabilizing selection' and a 'genuine biological signature'). Therefore, 'illusory' (or synonyms like 'spurious' or 'epiphenomenal') is the only word that correctly completes the structural contrast.

Adım Adım Çözüm

1
Identify structural transition signals across the entire passage.
The opening concessive clause ('While early twentieth-century palaeobiologists...') contrasts an older view—that stasis is an 'artifact' or 'passive consequence of sample omission'—with modern cladistic evidence.
Tracking macro-level contrast markers establishes the thematic tension between an apparent false perception and an underlying reality.
2
Analyze the local structural reversal signal containing the blank.
The phrase 'Far from being merely {{blank_1}}, stasis typically reflects active stabilizing selection...' creates a direct reversal between the target word and the subsequent description ('active stabilizing selection', 'genuine biological signature').
The idiom 'Far from being X, Y' indicates that X is the invalid or false characterization that stands in direct opposition to Y.
3
Deduce the required semantic meaning and select the matching vocabulary term.
Because the old view incorrectly dismissed stasis as a unreal artifact, the blank requires a word meaning deceptive, non-existent, or false, making 'illusory' the precise contextually supported answer.
The word 'illusory' directly aligns with 'artifact' and contrasts with 'genuine biological signature'.

Anahtar Kavram

Deciphering Meaning via Structural Clues and Contrast/Continuation Signals
Soru 1222Soru

Two automated timers are set to chime at regular intervals. The first timer chimes every 1212 minutes, and the second timer chimes every 1818 minutes. If both timers chime simultaneously at 12:00 PM, how many minutes will pass before they next chime at the exact same time?

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Cevap: 36

Cevap

36 minutes
The time interval between simultaneous chimes is given by the least common multiple (LCM) of the two individual intervals, 1212 minutes and 1818 minutes. Using prime factorization, 12=22×312 = 2^2 \times 3 and 18=2×3218 = 2 \times 3^2. The LCM takes the highest power of each prime present: 22×32=4×9=362^2 \times 3^2 = 4 \times 9 = 36. Thus, 3636 minutes will elapse before the timers chime together again.

Adım Adım Çözüm

1
Find the prime factorizations of 12 and 18
12=22×312 = 2^2 \times 3 and 18=2×3218 = 2 \times 3^2
Expressing numbers as products of prime factors allows us to easily compute the least common multiple.
2
Calculate the Least Common Multiple (LCM)
LCM(12,18)=2max(2,1)×3max(1,2)=22×32=36\text{LCM}(12, 18) = 2^{\max(2,1)} \times 3^{\max(1,2)} = 2^2 \times 3^2 = 36
The next simultaneous occurrence of periodic events is given by the LCM of their periods.

Anahtar Kavram

Least Common Multiple (LCM) of periodic events
Soru 1223Soru

Complete the passage below by supplying the word for each blank that best maintains contextual tone and connotative coherence across the text.

Aşağıdaki boşlukları doldurun

Rather than adhering to the tone typical of formal paleontological monographs, the research team's preliminary report on the hominin fossil was strikingly , replete with grandiose claims about the specimen's evolutionary significance.
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Cevap

Blank 1: measured (or clinical / sober / dispassionate); Blank 2: hyperbolic (or sensational / bombastic / tendentious)
The structural contrast 'Rather than adhering to' establishes an opposition between standard scientific writing and the team's actual report. Formal monographs demand a 'measured' or dispassionate tone. Conversely, the phrase 'replete with grandiose claims' signals an inflated and overblown style, making 'hyperbolic' the precise connotative match for Blank 2.

Adım Adım Çözüm

1
Identify structural contrast signal and baseline tone requirement for Blank 1.
The opening prepositional phrase 'Rather than adhering to' sets up a direct contrast between the expected tone of a formal monograph and the actual tone of the report. A formal scientific monograph requires a dispassionate, restrained tone, making words such as 'measured' or 'clinical' correct for Blank 1.
Determining the normative expectations for academic monographs establishes the baseline valence required before the contrast transition.
2
Identify descriptive tone clues for Blank 2.
The clause following Blank 2 provides the explicit elaboration 'replete with grandiose claims.' This indicates an exaggerated, inflated connotative valence, requiring a word such as 'hyperbolic' or 'sensational' for Blank 2.
The correct descriptor in Blank 2 must precisely reflect the overly dramatic and exaggerated nature of 'grandiose claims.'

Anahtar Kavram

Tone and Connotation Matching
Tahmini Süre:1m 15s
Soru 1224Soru

In historical analyses of eighteenth-century energy transitions, scholars must carefully evaluate vocabulary choices to avoid semantic traps. Consider the sentence: 'Far from proving that the shift to fossil fuels was driven by an immediate ______ of timber reserves, historical archives demonstrate that regional wood supplies remained robust, indicating that economic incentives rather than resource depletion prompted the change.' Match each candidate vocabulary word on the left with its correct diagnostic classification on the right regarding its contextual fit and synonym status.

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Öğeler

dearth
degradation
exhaustion
abundance

Eşleşmeler

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Cevap

The correct pairings associate 'dearth' with Valid Contextual Fit, 'degradation' with False Synonym Trap, 'exhaustion' with Unpaired Topical Distractor, and 'abundance' with Contextual Antonym.
The correct pairings systematically categorize each candidate word using standard GRE Sentence Equivalence diagnostic criteria. 'Dearth' fits the logical requirement of a quantitative shortage and pairs with 'scarcity'. 'Degradation' exemplifies a false synonym trap because its synonym pair partner ('deterioration') refers to quality rather than quantity. 'Exhaustion' is a topically related distractor that lacks a synonym twin, and 'abundance' is a contextual antonym.

Adım Adım Çözüm

1
Analyze the sentence structure and semantic direction
The structural signal 'far from proving' creates a contrast with the main clause stating timber supplies 'remained robust', requiring a word in the blank that means a shortage, scarcity, or lack of resources.
Establishing the precise logical polarity prevents misinterpreting words with opposing or unrelated meanings.
2
Evaluate 'dearth' for contextual meaning and synonym pair capability
'Dearth' explicitly denotes a scarcity or insufficient supply, perfectly matching the required quantitative meaning.
It fulfills the sentence logic and pairs seamlessly with 'scarcity' to produce equivalent sentences.
3
Identify false synonym traps based on semantic nuance
'Degradation' pairs with 'deterioration', but both words describe qualitative decay rather than quantitative volume.
Recognizing the difference between quality and quantity exposes false synonym pairs that fail contextual fit.
4
Differentiate unpaired topical distractors and logical antonyms
'Exhaustion' fits the subject area of energy resources but lacks a synonymous counterpart, while 'abundance' creates a logical contradiction.
Topical relevance alone is insufficient in Sentence Equivalence without an accompanying synonym pair.

Anahtar Kavram

Eliminating False Synonyms and Topically Related Distractors in Sentence Equivalence
Soru 1225Soru

Which terms best complete the passage below so that it maintains cross-sentence contextual coherence throughout?

Aşağıdaki boşlukları doldurun

For decades, scholars regarded the mid-nineteenth-century monograph on political economy as an (i) artifact, asserting that its disjointed methodology reflected a disorganized mind. However, a rigorous structural reexamination demonstrates that this apparent fragmentation was entirely (ii); rather than stemming from intellectual incoherence, the shift in analytical tone was designed to mirror the chaotic financial markets of the era. Consequently, far from being a (iii) treatise, the text actually marks a sophisticated turning point in historical methodology.
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Cevap

The passage is correctly completed by 'aberrant' for Blank 1, 'calculated' for Blank 2, and 'defective' for Blank 3.
The correct terms ('aberrant', 'calculated', and 'defective') establish a coherent narrative arc: initial scholars viewed the work as abnormal ('aberrant'), but new evidence shows the structure was deliberate ('calculated'), proving the work is not flawed ('defective') but sophisticated.

Adım Adım Çözüm

1
Analyze the context clues for Blank 1 in the first sentence.
The phrase 'asserting that its disjointed methodology reflected a disorganized mind' establishes that critics saw the work as anomalous or abnormal.
Blank 1 requires a term meaning atypical or departing from an accepted standard, making 'aberrant' the correct fit.
2
Analyze the pivot signal 'However' and structural clues for Blank 2 in the second sentence.
The clause 'rather than stemming from intellectual incoherence, the shift... was designed to mirror...' reveals that the fragmentation was intentional.
Blank 2 requires a word that contrasts with accidental disorganization and aligns with 'designed', making 'calculated' the correct fit.
3
Analyze the concluding concession marker 'far from being a...' for Blank 3 in the third sentence.
The final sentence contrasts the negative premise of Blank 3 with the positive resolution that the text is 'a sophisticated turning point'.
Blank 3 requires a word describing a flawed or inferior work, making 'defective' the correct choice.

Anahtar Kavram

Cross-sentence contextual coherence requires matching vocabulary polarity and semantic dependencies across contrastive and corroborative structural markers.
Soru 1226Soru

Because the ancient manuscript's outer parchment suffered severe micro-fracturing from prolonged exposure to humidity, the conservator argued that any sudden fluctuations in ambient temperature would inevitably ________ the degradation of the fragile binding; consequently, the archival team mandated strict climate controls to mitigate structural breakdown.

Which two of the following options best complete the sentence with equivalent meaning?

Geçerli olan tümünü seçin

Cevabı ve açıklamayı göster

Cevap: precipitate; hasten

Cevap

The two words that produce logically coherent and equivalent completed sentences are 'precipitate' and 'hasten'.
The sentence relies on strong causal structural signals ('Because' and 'consequently'). The cause (humidity damage leading to micro-fractures) coupled with temperature fluctuations logically results in accelerating the degradation of the binding. Both 'precipitate' (to bring about abruptly or hasten) and 'hasten' (to cause to happen more quickly) fit the context perfectly and create sentences with equivalent meaning.

Adım Adım Çözüm

1
Analyze structural signals and clause relationships
Identified 'Because...' at the start establishing cause, and '; consequently, ...' establishing an effect that reinforces the continuation of damage.
The initial premise states that humidity has already micro-fractured the parchment, meaning temperature shifts will intensify or speed up the damage.
2
Determine required contextual tone and semantic meaning of the blank
The blank requires a verb meaning 'to cause to happen rapidly' or 'to accelerate'.
Sudden fluctuations acting on an already weakened structure will cause rapid degradation, prompting strict climate controls.
3
Evaluate option pairs for semantic equivalence and contextual fit
'precipitate' and 'hasten' form a near-synonym pair that correctly completes the causal progression.
Both words convey the acceleration or premature triggering of a negative process, creating identical sentence meanings.

Anahtar Kavram

Identifying Causal and Continuation Structural Signals in Sentence Equivalence
Tahmini Süre:1m 30s
Soru 1227Soru

Let nn be a positive integer such that nn is divisible by 1212 and n2n^2 is divisible by 270270. Which of the following statements MUST be true? Select all such statements.

Geçerli olan tümünü seçin

Cevabı ve açıklamayı göster

Cevap: nn is divisible by 180180.; n2n^2 is divisible by 10,80010,800.; nn has at least 1818 positive divisors.

Cevap

The statements asserting that nn is divisible by 180180, n2n^2 is divisible by 10,80010,800, and nn has at least 1818 positive divisors MUST be true.
Because 12=223112 = 2^2 \cdot 3^1 divides nn, nn contains at least two factors of 22 and one factor of 33. Because 270=213351270 = 2^1 \cdot 3^3 \cdot 5^1 divides n2n^2, n2n^2 must contain at least three factors of 33 and one factor of 55, meaning nn itself must contain at least two factors of 33 and one factor of 55. Therefore, nn must be a multiple of 223251=1802^2 \cdot 3^2 \cdot 5^1 = 180. Consequently: (1) nn is divisible by 180180; (2) n2n^2 is a multiple of 1802=32,400180^2 = 32,400, which is divisible by 10,80010,800; (3) nn has at least as many divisors as 180180, which has (2+1)(2+1)(1+1)=18(2+1)(2+1)(1+1) = 18 positive divisors.

Adım Adım Çözüm

1
Determine the prime factorization constraints on nn from the given divisibility conditions.
Since 12=223112 = 2^2 \cdot 3^1 divides nn, v2(n)2v_2(n) \ge 2 and v3(n)1v_3(n) \ge 1. Since 270=213351270 = 2^1 \cdot 3^3 \cdot 5^1 divides n2n^2, v2(n2)1v_2(n^2) \ge 1, v3(n2)3v_3(n^2) \ge 3, and v5(n2)1v_5(n^2) \ge 1.
Divisibility requires that the exponent of each prime factor in the divisor is less than or equal to the exponent in the dividend.
2
Deduce the minimal exponents of primes in nn.
v2(n)2v_2(n) \ge 2, 2v3(n)3    v3(n)22 \cdot v_3(n) \ge 3 \implies v_3(n) \ge 2, and 2v5(n)1    v5(n)12 \cdot v_5(n) \ge 1 \implies v_5(n) \ge 1. Thus, nn must be a multiple of 223251=1802^2 \cdot 3^2 \cdot 5^1 = 180.
Exponents of prime factors in integer factorizations must be non-negative integers.
3
Evaluate each statement against the minimum required value n=180=223251n = 180 = 2^2 \cdot 3^2 \cdot 5^1.
1. 180n180 \mid n is true.
2. n2n^2 is a multiple of 1802=32,400180^2 = 32,400, which is divisible by 10,80010,800 (32,400=310,80032,400 = 3 \cdot 10,800). True.
3. 180180 is not divisible by 2424. False.
4. n3n^3 has 535^3, whereas 250,000250,000 requires 555^5. False.
5. The number of positive divisors of 180180 is (2+1)(2+1)(1+1)=18(2+1)(2+1)(1+1) = 18. Any multiple of 180180 has at least 1818 positive divisors. True.
Testing the baseline integer n=180n = 180 identifies necessary conditions and counterexamples.

Anahtar Kavram

Properties of Integers and Divisibility
Soru 1228Soru

In spite of the lead oceanographer's insistence that the deep-sea ecosystem was ________, subsequent robotic surveys uncovered a surprisingly vibrant array of benthic life. Which two of the following answer choices, when inserted into the blank, produce completed sentences that are logically equivalent and coherent in meaning?

Geçerli olan tümünü seçin

Cevabı ve açıklamayı göster

Cevap: barren; desolate

Cevap

The two correct choices are 'barren' and 'desolate'.
The structural signal 'In spite of' establishes a concessionary contrast between the oceanographer's expectation and the empirical findings. Since the robotic surveys revealed a 'vibrant array of benthic life', the oceanographer must have insisted that the ecosystem was devoid of life. Both 'barren' and 'desolate' mean lacking life or vegetation, completing the sentence with logically equivalent meanings.

Adım Adım Çözüm

1
Identify the structural signal and sentence pivot
The phrase 'In spite of' acts as a concession signal indicating that the oceanographer's claim contrasts with the actual findings.
Concession signals require the blank to express the opposite valence of the main clause.
2
Analyze the main clause clue and determine target meaning for the blank
The main clause notes that surveys uncovered a 'surprisingly vibrant array of benthic life'. Therefore, the oceanographer must have claimed the area was lacking in life.
The blank requires words meaning 'lifeless', 'empty', or 'devoid of organisms'.
3
Evaluate option pairs for semantic equivalence and contextual fit
'Barren' and 'desolate' both mean empty or devoid of life, forming a pair of synonyms that yield logically equivalent completed sentences.
Both words satisfy the required negative polarity and produce identical sentence meanings.

Anahtar Kavram

Interpreting Contrast and Concession Structural Signals
Soru 1229Soru

Which specific vocabulary word, when used in its secondary meaning, best completes the excerpt below?

Aşağıdaki boşlukları doldurun

Despite the lead investigator's refusal to issue a formal reprimand, her remarks during the press briefing were clearly structured to that official misconduct had occurred behind closed doors.
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Cevap

The word that correctly completes the blank based on its secondary meaning is 'intimate'.
The sentence context calls for a verb that signifies communicating an idea subtly or indirectly without an overt, formal declaration. In its secondary usage, 'intimate' serves as a verb meaning to state indirectly or hint, making it the precise contextual fit.

Adım Adım Çözüm

1
Analyze the contextual clues within the sentence.
The sentence describes an investigator who avoids making an explicit, formal accusation, but nevertheless structures her remarks to convey a subtle, indirect suggestion of wrongdoing.
Contrast between avoiding a 'formal reprimand' and structuring remarks to convey an idea indicates that the missing word must mean to hint, imply, or state indirectly.
2
Identify the vocabulary word that satisfies the secondary definition required by the context.
While 'intimate' is predominantly recognized as an adjective meaning private or closely acquainted, its secondary meaning functions as a verb meaning to hint, state indirectly, or imply.
Using 'intimate' as an infinitive verb ('to intimate') satisfies both the syntax of the blank and the precise semantic requirement of making an indirect suggestion.

Anahtar Kavram

Secondary Word Meanings in Context
Soru 1230Soru

A community library received a donation of 120120 new books. On Monday, 38\frac{3}{8} of the donated books were cataloged. On Tuesday, 13\frac{1}{3} of the remaining uncataloged books were cataloged. How many of the donated books remain to be cataloged?

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Cevap: 50

Cevap

50 books remain to be cataloged.
First, find the number of books cataloged on Monday: 3/8 of 120 is 45 books. Subtracting 45 from 120 leaves 75 books uncataloged. On Tuesday, 1/3 of those remaining 75 books were cataloged, which is 25 books. Subtracting 25 from 75 gives 50 books remaining to be cataloged.

Adım Adım Çözüm

1
Calculate the number of books cataloged on Monday.
45 books
Multiply the initial total of 120 books by the fraction cataloged on Monday, which is 3/8.
2
Calculate the uncataloged books remaining after Monday.
75 books
Subtract the 45 cataloged books from the initial 120 books.
3
Calculate the number of books cataloged on Tuesday.
25 books
Multiply the remaining 75 books by the fraction cataloged on Tuesday, which is 1/3.
4
Calculate the final number of uncataloged books.
50 books
Subtract the 25 books cataloged on Tuesday from the 75 uncataloged books remaining after Monday.

Anahtar Kavram

Fraction of a Remaining Quantity
Tahmini Süre:50s
Soru 1231Soru

Two positive integers xx and yy have a greatest common divisor (GCD) of 66 and a least common multiple (LCM) of 108108. If x=18x = 18, what is the value of yy?

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Cevap: 3636

Cevap

The value of yy is 3636.
For any two positive integers xx and yy, their product equals the product of their greatest common divisor and least common multiple: xy=GCD(x,y)LCM(x,y)x \cdot y = \text{GCD}(x,y) \cdot \text{LCM}(x,y). Substituting x=18x = 18, GCD=6\text{GCD} = 6, and LCM=108\text{LCM} = 108 gives 18y=6108=64818y = 6 \cdot 108 = 648. Dividing both sides by 1818 yields y=36y = 36.

Adım Adım Çözüm

1
State the fundamental identity relating GCD, LCM, and two positive integers.
x×y=GCD(x,y)×LCM(x,y)x \times y = \text{GCD}(x,y) \times \text{LCM}(x,y)
For any two positive integers, the product of the numbers is equal to the product of their greatest common divisor and least common multiple.
2
Substitute the known values x=18x = 18, GCD=6\text{GCD} = 6, and LCM=108\text{LCM} = 108 into the equation.
18×y=6×10818 \times y = 6 \times 108
Replace the abstract variables with the specific values provided in the question stem.
3
Multiply the numbers on the right side of the equation.
18×y=64818 \times y = 648
Simplify the product of the GCD and LCM.
4
Divide both sides by 1818 to isolate yy.
y=64818=36y = \frac{648}{18} = 36
Solve for the unknown integer yy.

Anahtar Kavram

Relationship between GCD, LCM, and the product of two positive integers
Tahmini Süre:1m 0s
Soru 1232Soru

A university research lab receives a multi-year grant. In the first quarter, the lab spends 27\frac{2}{7} of the total grant on laboratory equipment. In the second quarter, the lab spends 35\frac{3}{5} of the remaining funds on research staff salaries. At the beginning of the third quarter, the lab receives a supplementary addition equal to 14\frac{1}{4} of the funds remaining at the end of the second quarter. If the total amount of money in the grant immediately following the third-quarter addition is $45,000\$45,000, what was the initial dollar amount of the research grant?

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Cevap: $126,000

Cevap

$126,000
The correct answer of 126,000isfoundbytrackingthefractionoftheinitialgrant126,000 is found by tracking the fraction of the initial grant G remainingaftereachstep.Spending remaining after each step. Spending \frac{2}{7}leaves leaves \frac{5}{7}G .Spending. Spending \frac{3}{5}ofthatremainderleaves of that remainder leaves \frac{2}{5} \times \frac{5}{7}G = \frac{2}{7}G .Adding. Adding \frac{1}{4}of of \frac{2}{7}G increasesthebalanceby increases the balance by \frac{1}{14}G ,resultinginafinaltotalof, resulting in a final total of \frac{2}{7}G + \frac{1}{14}G = \frac{5}{14}G .Setting. Setting \frac{5}{14}G = 45,000 yields yields G = 126,000$.

Adım Adım Çözüm

1
Determine the remaining fraction after the first quarter.
Fraction remaining = 127=571 - \frac{2}{7} = \frac{5}{7} of the initial grant GG.
The lab spent 27\frac{2}{7} of the total grant.
2
Calculate the remaining fraction after the second quarter.
Fraction remaining = (135)×57G=25×57G=27G\left(1 - \frac{3}{5}\right) \times \frac{5}{7}G = \frac{2}{5} \times \frac{5}{7}G = \frac{2}{7}G.
The lab spent 35\frac{3}{5} of the remaining funds, leaving 25\frac{2}{5} of those funds.
3
Account for the third-quarter supplementary addition.
Final fraction = 27G+14(27G)=27G+114G=414G+114G=514G\frac{2}{7}G + \frac{1}{4}\left(\frac{2}{7}G\right) = \frac{2}{7}G + \frac{1}{14}G = \frac{4}{14}G + \frac{1}{14}G = \frac{5}{14}G.
An additional 14\frac{1}{4} of the second-quarter remaining funds was added to the grant.
4
Solve for the initial grant amount GG.
514G=45,000    G=45,000×145=9,000×14=126,000\frac{5}{14}G = 45,000 \implies G = 45,000 \times \frac{14}{5} = 9,000 \times 14 = 126,000.
The final remaining balance of $45,000\$45,000 corresponds to 514\frac{5}{14} of the original grant.

Anahtar Kavram

Multi-step sequential fraction operations and base tracking in word problems
Soru 1233Soru

Although the principal investigator sought to present an objective synthesis of the archaeological site's excavation data, her final monograph was criticized for its ______ prose, which elevated routine domestic artifacts into objects of profound, almost mythic significance.

Which of the following words, if inserted into the blank, best completes the sentence by matching the intended tone and connotation of the context?

Cevabı ve açıklamayı göster

Cevap: grandiose

Cevap

grandiose
The correct answer is the word meaning excessively grand, pompous, or inflated in style. The contrast clue 'Although' signals that despite aiming for an objective synthesis, the author produced writing that was criticized for over-inflating routine findings. The descriptive clause explains that routine domestic items were portrayed with 'profound, almost mythic significance', which precisely matches the exaggerated connotative tone of 'grandiose'.

Adım Adım Çözüm

1
Analyze structural transition signals in the sentence stem.
The opening concession signal 'Although' indicates a contrast between the investigator's goal ('objective synthesis') and the actual outcome criticized in the monograph.
Contrast signals mandate a shift in semantic direction or tone between the clauses.
2
Identify contextual elaboration clues defining the blank.
The relative clause 'which elevated routine domestic artifacts into objects of profound, almost mythic significance' defines the specific nature of the prose.
The definition demands a word describing style that is excessively elevated, exaggerated, or unnaturally pomposity-laden.
3
Evaluate option connotations against the required tone valence.
The word 'grandiose' specifically denotes an extravagantly showy or exaggeratedly grand style, perfectly aligning with the connotative requirement of making mundane artifacts seem mythic.
Only 'grandiose' satisfies both the contrast requirement against 'objective' and the descriptive requirement of hyperbolic elevation.

Anahtar Kavram

Tone and Connotation Matching
Tahmini Süre:1m 0s
Soru 1234Soru

Let nn be a positive integer such that nn has exactly 15 positive divisors. If nn is divisible by 18, but nn is NOT divisible by 8, what is the remainder when nn is divided by 7?

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Cevap: 2

Cevap

The remainder when nn is divided by 7 is 2.
The total number of divisors of a positive integer with prime factorization p1ap2bp_1^{a} p_2^{b} \dots is (a+1)(b+1)(a+1)(b+1)\dots. Given that nn has 15 divisors, the possible exponent forms are 14 (since 14+1=1514+1=15) or 4 and 2 (since (4+1)(2+1)=15(4+1)(2+1)=15). Since nn is divisible by 18=23218 = 2 \cdot 3^2, its prime factors must be 2 and 3. The form p14p^{14} is eliminated because it contains only one prime factor. Testing the two permutations for p4q2p^4 \cdot q^2:
1. If n=2432=144n = 2^4 \cdot 3^2 = 144, nn is divisible by 8 (144/8=18144 / 8 = 18), which contradicts the condition that nn is NOT divisible by 8.
2. If n=2234=324n = 2^2 \cdot 3^4 = 324, nn is divisible by 18 (324/18=18324 / 18 = 18) and is NOT divisible by 8 (324/8=40.5324 / 8 = 40.5).
Dividing 324 by 7 gives 324=7×46+2324 = 7 \times 46 + 2, so the remainder is 2.

Adım Adım Çözüm

1
Analyze the divisor count formula for nn
The prime factorization of nn must be either p14p^{14} or p4q2p^4 \cdot q^2 for distinct prime numbers pp and qq.
The total number of positive divisors of an integer with prime factorization p1ap2bp_1^{a} p_2^{b} \dots is given by (a+1)(b+1)=15(a+1)(b+1)\dots = 15. Since 15 factors as 15×115 \times 1 or 5×35 \times 3, the exponent structures are 14 or 4 and 2.
2
Apply the divisibility conditions by 18 and 8
nn must equal 2234=3242^2 \cdot 3^4 = 324.
Because nn is divisible by 18=213218 = 2^1 \cdot 3^2, its prime factors must include both 2 and 3, ruling out p14p^{14}. Thus {p,q}={2,3}\{p, q\} = \{2, 3\}. If n=2432=144n = 2^4 \cdot 3^2 = 144, then nn is divisible by 8 (232^3), violating the given constraint. Therefore, nn must be 2234=3242^2 \cdot 3^4 = 324, which is divisible by 18 (324/18=18324 / 18 = 18) and not divisible by 8 (324/8=40.5324 / 8 = 40.5).
3
Compute the remainder when 324 is divided by 7
324 divided by 7 yields a quotient of 46 and a remainder of 2.
324=7×46+2324 = 7 \times 46 + 2 because 7×46=3227 \times 46 = 322.

Anahtar Kavram

Prime factorization, divisor count formula, and divisibility constraints
Soru 1235Soru

An industrial chemical reservoir is emptied by three pumps, P1P_1, P2P_2, and P3P_3, operating independently at different constant rates. Working alone, P1P_1 can empty the full reservoir in 66 hours, P2P_2 can empty it in 88 hours, and P3P_3 can empty it in 1212 hours. Initially, the reservoir is completely full. First, P1P_1 and P2P_2 work together for 22 hours. Then P1P_1 is turned off, and P3P_3 is turned on to work alongside P2P_2. Additionally, while P2P_2 and P3P_3 are working together, a defect causes liquid to leak out of the bottom of the reservoir at a constant rate equal to 16\frac{1}{6} of the combined emptying rate of P2P_2 and P3P_3. How many additional hours will it take to completely empty the remaining liquid from the reservoir?

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Cevap: 127\frac{12}{7} hours

Cevap

127\frac{12}{7} hours
The option stating '127\frac{12}{7} hours' is correct because during the first 2 hours, P1P_1 and P2P_2 empty 712\frac{7}{12} of the reservoir, leaving 512\frac{5}{12} remaining. Then, P2P_2 and P3P_3 have a combined rate of 524\frac{5}{24}, and the defect adds an extra 5144\frac{5}{144} per hour, giving a total emptying rate of 35144\frac{35}{144} reservoirs per hour. Dividing 512\frac{5}{12} by 35144\frac{35}{144} yields 127\frac{12}{7} hours.

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1
Calculate the combined emptying rate of P1P_1 and P2P_2 and determine the fraction emptied in the first 22 hours.
Rate of P1=16P_1 = \frac{1}{6} reservoir/hr, Rate of P2=18P_2 = \frac{1}{8} reservoir/hr. Combined rate = \frac{1}{6} + \frac{1}{8} = \frac{7}{24} reservoir/hr. In 22 hours, amount emptied = 2×724=7122 \times \frac{7}{24} = \frac{7}{12} of the reservoir.
Determines how much work was completed during the initial stage.
2
Find the remaining fraction of liquid in the reservoir.
Remaining fraction = 1712=5121 - \frac{7}{12} = \frac{5}{12} of the reservoir.
Establishes the remaining volume that must be emptied in the second stage.
3
Calculate the combined rate of P2P_2, P3P_3, and the defect rate.
Combined rate of P2P_2 and P3=18+112=524P_3 = \frac{1}{8} + \frac{1}{12} = \frac{5}{24} reservoir/hr. Defect rate = \frac{1}{6} \times \frac{5}{24} = \frac{5}{144} reservoir/hr. Total emptying rate = \frac{5}{24} + \frac{5}{144} = \frac{30 + 5}{144} = \frac{35}{144} reservoir/hr.
Combines all simultaneous emptying processes during the second stage.
4
Divide the remaining fraction by the total emptying rate to find the additional time needed.
Time = \frac{5/12}{35/144} = \frac{5}{12} \times \frac{144}{35} = \frac{5}{35} \times \frac{144}{12} = \frac{1}{7} \times 12 = \frac{12}{7} hours.
Applies the rate formula Time=WorkRate\text{Time} = \frac{\text{Work}}{\text{Rate}}.

Anahtar Kavram

Compound Fraction Work Rates and Rational Operations
Soru 1236Soru

Notwithstanding the diplomat's outward appearance of unyielding dogmatism, her negotiating tactics in high-stakes summits were surprisingly __________; she frequently pivoted strategies to exploit shifting political dynamics. Which two of the following answer choices, when inserted into the blank, produce sentences that are equivalent in overall meaning?

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Cevap: pliant; supple

Cevap

The two choices that produce equivalent sentences are 'pliant' and 'supple'.
The structural signal 'Notwithstanding' sets up a direct contrast with 'unyielding dogmatism'. The sentence further elaborates that the diplomat 'frequently pivoted strategies', demanding words that mean flexible or adaptable. The choices 'pliant' and 'supple' are contextual synonyms that both accurately complete the sentence while maintaining structural and semantic equivalence.

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1
Analyze the structural pivot and sentence context
The sentence begins with the concessionary pivot 'Notwithstanding', indicating a contrast between the diplomat's outward 'unyielding dogmatism' and her actual negotiating tactics.
Identifying contrast signals dictates the polarity required for the blank.
2
Determine the required meaning of the blank
The blank requires a word meaning flexible, adaptable, or yielding, as elaborated by the clause stating she 'frequently pivoted strategies'.
The second clause reinforces the opposite of unyielding behavior.
3
Evaluate options for contextual fit and synonymy
'Pliant' and 'supple' both mean flexible or adaptable, forming a coherent synonym pair. 'Intransigent' and 'recalcitrant' are synonyms that incorrectly match the pre-pivot tone. 'Perspicacious' lacks a synonym partner, and 'devious' is a topical distractor.
GRE Sentence Equivalence requires choosing exactly two words that are synonyms and fit the contextual tone.

Anahtar Kavram

Identifying contrast structural signals and selecting contextual synonym pairs that satisfy sentence polarity.
Soru 1237Soru

Despite the lead researcher’s assertion that the spectral anomalies observed on Europa were merely instrumental artifacts, several planetary scientists maintained that the data were __________ of active cryovolcanism beneath the ice shell. Which two of the following options, when inserted into the sentence, produce completed sentences that are similar in meaning?

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Cevap: indicative; suggestive

Cevap

The choices 'indicative' and 'suggestive' both complete the sentence to convey that the spectral data serve as evidence of sub-surface cryovolcanism, directly contrasting the claim that the data were merely artifacts.
The words 'indicative' and 'suggestive' both accurately convey that the spectral data provide a sign or evidence of active cryovolcanism. Inserting either word creates completed sentences with equivalent meaning, maintaining the contrast introduced by the pivot word 'despite' against the claim that the data were merely artifacts.

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1
Analyze structural signals and contrast pivots in the sentence stem.
The opening transition 'Despite' establishes a contrast between the lead researcher's claim (that the data are 'merely instrumental artifacts') and the stance of the other planetary scientists.
Understanding sentence polarity ensures the chosen words reflect a positive assertion of real evidence rather than dismissal or uncertainty.
2
Determine the target semantic meaning required for the blank.
The blank must mean 'pointing to', 'serving as evidence of', or 'giving a sign of' cryovolcanism.
The sentence requires two words that fit both the grammatical context ('__________ of') and produce coherent, equivalent meanings.
3
Evaluate option pairs for contextual fit and synonymy.
'indicative' and 'suggestive' both mean serving as a sign or indication of something, creating equivalent sentence meanings.
Although 'equivocal' and 'ambiguous' form a synonym pair, they violate the sentence polarity established by the contrast pivot.

Anahtar Kavram

Sentence Equivalence: Contextual Synonym Pair Selection
Tahmini Süre:1m 0s
Soru 1238Soru

Passage:
During the 1872–1876 oceanographic expedition of HMS Challenger, directed by Scottish naturalist Charles Wyville Thomson, researchers conducted the first systematic global survey of deep-sea abyssal environments. Prior to the voyage, prevailing oceanic theory—most notably Edward Forbes's "azoic hypothesis" formulated in 1843—asserted that marine life could not exist below a depth of 300 fathoms (1,800 feet) due to extreme hydrostatic pressure and total darkness. However, Thomson's team collected biological specimens from depths exceeding 3,000 fathoms using reinforced dredges. Despite these groundbreaking findings, Thomson maintained that deep-sea organisms were not primitive relicts of ancient geological eras, as some evolutionary biologists speculated, but were instead specialized descendants of shallow-water species that had migrated downward over time. Crucially, the expedition also documented that deep-water temperatures remained uniformly cold across disparate oceanic basins regardless of surface latitude, disproving the earlier assumption that tropical seabed waters were warmed by equatorial solar radiation.

According to the passage, Charles Wyville Thomson held which of the following views regarding the origin of deep-sea organisms?

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Cevap: They were specialized descendants of shallow-water species that had migrated into deeper oceanic environments over time.

Cevap

They were specialized descendants of shallow-water species that had migrated into deeper oceanic environments over time.
The passage explicitly states that Thomson 'maintained that deep-sea organisms were not primitive relicts of ancient geological eras... but were instead specialized descendants of shallow-water species that had migrated downward over time.' The choice stating that organisms were specialized descendants of shallow-water species that migrated into deeper environments provides a direct, faithful paraphrase of this detail.

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1
Locate the explicit discussion of Charles Wyville Thomson's view on the origin of deep-sea organisms in the passage text.
Identified the sentence: 'Thomson maintained that deep-sea organisms were not primitive relicts of ancient geological eras, as some evolutionary biologists speculated, but were instead specialized descendants of shallow-water species that had migrated downward over time.'
Explicit detail retrieval requires matching the question's specific target to exact statements in the passage.
2
Compare the located factual assertion against the provided options.
The option stating that deep-sea organisms were specialized descendants of shallow-water species that migrated into deeper environments directly paraphrases the passage text.
The correct answer in GRE Reading Comprehension must accurately restate facts from the passage without adding unsupported inferences or misreading modifiers.

Anahtar Kavram

Explicit Detail Retrieval
Soru 1239Soru

Even while conceding that early hominin fossil evidence from the site remains sparse, the lead paleoanthropologist maintained that the species' adaptation to upright locomotion was ________, pointing to recent biomechanical analyses of the femoral structure as decisive proof. Which two words, when inserted into the blank, best complete the sentence in a way that produces logically equivalent and coherent meanings?

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Cevap: indisputable; unassailable

Cevap

The correct selections are the options meaning 'indisputable' and 'unassailable'.
The sentence begins with the concession structural signal 'Even while conceding that', which indicates a contrast between the admitted limitation (sparse fossil evidence) and the strong claim made in the main clause (supported by 'decisive proof'). Therefore, the blank requires words that mean beyond doubt or impossible to refute. The terms meaning 'indisputable' and 'unassailable' both convey this exact meaning and produce logically equivalent sentences.

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1
Analyze the sentence structure and identify transition signals.
The clause-initial phrase 'Even while conceding that...' establishes a concession/contrast relationship between the sparse nature of fossil evidence and the paleoanthropologist's main assertion.
Concession signals indicate that the main clause will contrast with or overcome the admitted limitation.
2
Determine the required tone and meaning for the blank.
Since the scientist relies on 'decisive proof' despite sparse evidence, the blank requires a word denoting certainty, unquestionability, or irrefutability.
The contrast requires moving from uncertainty ('sparse evidence') to firm certainty supported by 'decisive proof'.
3
Evaluate the option choices to find a matching synonym pair.
'Indisputable' and 'unassailable' both mean unable to be challenged or denied, creating two logically equivalent sentences with positive contrast.
Sentence equivalence requires two words that fit the context and yield the same sentence meaning.

Anahtar Kavram

Interpreting Contrast and Concession Structural Signals
Soru 1240Soru

Although the musicologist maintained that her subject's late-period symphonic compositions represented an unedited, radical departure from established classical norms, contemporary theorists counter that the composer's harmonic structures were actually __________ the prevailing motifs of nineteenth-century Romanticism, drawing extensively on traditional cadence patterns and orchestral textures. Which of the following words or idiomatic phrases best completes the sentence?

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Cevap: redolent of

Cevap

The phrase 'redolent of' correctly completes the sentence by providing the proper idiomatic prepositional complement and satisfying the structural contrast.
The correct answer 'redolent of' means strongly suggestive or reminiscent of something. The sentence structure contrasts the musicologist's claim of a 'radical departure' with contemporary theorists' counterargument that the music actually draws heavily on older Romantic traditions. Furthermore, 'redolent' idiomatically requires the preposition 'of'.

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1
Analyze structural contrast clues in the sentence stem.
The opening concession 'Although... radical departure' paired with the main clause transition 'contemporary theorists counter that' indicates that the blank must express alignment, similarity, or evocative reliance on Romanticism rather than departure from it.
The sentence sets up an opposition between the musicologist's belief in novelty and the theorists' claim of traditional reliance.
2
Evaluate semantic and contextual fit of candidate concepts.
The phrase must mean 'reminiscent of' or 'suggestive of' to complement 'drawing extensively on traditional cadence patterns'.
The elaboration clause at the end of the sentence explains how the compositions relate to nineteenth-century Romanticism.
3
Verify standard idiomatic collocation and prepositional complementation.
The adjective 'redolent' requires the fixed preposition 'of' when signifying evocative resemblance ('redolent of'). Options pairing 'redolent' with other prepositions or choosing opposing terms violate standard usage or sentence polarity.
Standard academic English requires specific fixed prepositional pairings for adjectives of association.

Anahtar Kavram

Collocation and Idiomatic Fit
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