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  1. GRE Verbal
  2. Resolve Paradox or Discrepancy

Fact AFact B?
GRE VERBAL • ARGUMENTS AND LOGICAL REASONING

Resolve Paradox or Discrepancy

Master the art of finding explanations that reconcile two seemingly contradictory facts on the GRE.

SECTION 1

Historical Context & Motivation

The ability to resolve apparent contradictions has been central to human reasoning since antiquity. Ancient Greek philosophers such as Zeno of Elea famously posed paradoxes — statements that seemed logically valid yet led to absurd conclusions — as a way to probe the limits of human understanding. These puzzles were not merely intellectual games; they drove the development of more rigorous frameworks in logic, mathematics, and natural philosophy. The GRE's Resolve the Paradox or Discrepancy question type draws on this same cognitive tradition: you are presented with two facts that appear to contradict one another and asked to find the piece of information that reconciles them.

~450 BCE
Zeno's Paradoxes
Zeno of Elea formulates paradoxes of motion, demonstrating that apparent contradictions can reveal hidden assumptions in our reasoning.
~350 BCE
Aristotle's Logic
Aristotle develops formal syllogistic logic, providing tools to distinguish genuine contradictions from merely apparent ones and to identify missing premises.
1960s
Rise of Critical Thinking in Education
Standardized tests begin emphasizing logical reasoning and argument analysis, recognizing that resolving discrepancies is a hallmark of sophisticated analytical thinking.
2011
Revised GRE Launches
ETS introduces the revised GRE General Test with an enhanced Verbal Reasoning section that systematically tests the ability to resolve paradoxes and discrepancies in short argument passages.

The fundamental question these items address is deceptively simple: given two facts that seem to conflict, what additional information would make both facts simultaneously true? This is not about choosing sides or determining which fact is wrong — both facts are presented as given. Instead, you must locate the hidden variable or missing context that explains how both statements can coexist without contradiction. Mastering this skill is essential not only for the GRE but for graduate-level academic work, where reconciling contradictory findings is a routine intellectual challenge.

SECTION 2

Core Principles & Definitions

Before tackling specific questions, you need a clear conceptual vocabulary. A paradox in the GRE context is a set of statements or observations that, taken together, seem to defy common-sense expectations. A discrepancy is closely related but typically involves a gap between an expected outcome and an actual result. The correct answer to a resolve-the-paradox question provides the explanatory bridge — a fact or consideration that makes the apparent contradiction dissolve. Crucially, the answer does not challenge or undermine either stated fact; instead, it supplies a context in which both facts are perfectly compatible.

1

Accept Both Facts as True

Never challenge the truth of either statement in the stimulus. Both are treated as given. Your job is to explain how they coexist, not to decide which one is wrong.
2

Identify the Tension Point

Pinpoint exactly what makes the two facts seem incompatible. The tension point is the implicit assumption or expectation that links them. This is the hinge around which the correct answer turns.
3

Seek the Hidden Variable

The correct answer introduces information the passage omitted — a confounding factor, a definitional distinction, or a shift in conditions that accounts for the surprising outcome.
4

Eliminate Irrelevant and Deepening Answers

Wrong answers often introduce new information that is tangentially related but does not resolve the specific tension. Some wrong answers even deepen the paradox by making the discrepancy harder to explain.
5

Test with the 'Both True' Check

After selecting an answer, verify: if this new information is true, does the contradiction vanish? If both original facts and the answer can coexist comfortably, you likely have the right choice.
✦ KEY TAKEAWAY
Think of a paradox like arriving at an intersection where the traffic light appears to be both green and red at the same time. You don't conclude the light is broken — instead, you consider a hidden explanation: perhaps you're seeing the reflection of one light superimposed on the other, or the lights serve two different lanes. A resolve-the-paradox question asks you to find that hidden explanation that makes both observations perfectly natural.
SECTION 3

Visual Explanation — Anatomy of a Paradox Question

Anatomy of a Resolve-the-Paradox QuestionFACT A"City X doubled its bike lanesover the past five years."Expectation: more cyclingFACT B"Bicycle commuting in City Xdeclined by 15% in that period."Reality: less cycling⚡TENSION POINTMore infrastructure should → more cycling. Why didn't it?✓ CORRECT ANSWER (Explanatory Bridge)"City X's population of commuting-age residents fell 30%due to a major employer relocating out of the city."✗ WRONG: Irrelevant"City Y also added bike lanes."✗ WRONG: Deepens"Gas prices also rose sharply."✗ WRONG: Tangential"Bike helmets became cheaper."
This diagram illustrates the three-layer structure of every Resolve-the-Paradox question. At the top, two facts (A and B) create a tension point — the implicit expectation that makes them seem contradictory. The correct answer (green box) serves as an explanatory bridge that resolves the tension. Incorrect answers (red dashed boxes) either introduce irrelevant information, deepen the paradox, or address a tangential issue.

Notice that the diagram captures the essential cognitive workflow. You begin by reading Fact A and Fact B, then articulate the tension between them in your own words before examining any answer choices. This pre-processing step is critical because it prevents you from being swayed by answer choices that sound plausible but do not address the specific discrepancy. In the example above, the fact that gas prices rose would normally encourage cycling, so it actually deepens the paradox rather than resolving it. Meanwhile, the correct answer — a major population decline among commuting-age residents — explains why fewer people cycled even though the infrastructure improved. The per-capita cycling rate may have even increased, but the absolute number of cyclists dropped because the relevant population shrank.

SECTION 4

How the Resolution Mechanism Works

Although this is a verbal reasoning skill, understanding the underlying logical mechanism will sharpen your performance. Every paradox question follows a predictable logical structure that can be formalized. The stimulus implicitly relies on an assumed causal or correlational link between two variables. When the stated outcome violates that link, a discrepancy arises. The correct answer introduces a third variable — one that was absent from the original reasoning — which either modifies the causal relationship or reveals that the two facts operate on different dimensions entirely.

The Logical Skeleton

PARADOX STRUCTURE
Premise 1: X is true. Premise 2: Y is true. Implicit assumption: X → ¬Y (X should prevent Y). Discrepancy: X ∧ Y both hold.
X and Y are the two stated facts. The symbol → represents 'should lead to.' The symbol ¬ represents 'not.' The correct answer introduces factor Z such that X ∧ Z → Y becomes logically coherent.
RESOLUTION MECHANISM
Answer introduces Z: (X ∧ Z) → Y is non-contradictory.
Z is the hidden variable or missing context. When Z is added to the reasoning, the expectation that X would prevent Y is overridden, and the co-occurrence of X and Y is explained.

Consider how this formalism applies to our earlier bike-lane example. X is "City X doubled its bike lanes" and Y is "bicycle commuting declined by 15%." The implicit assumption is that more bike lanes should cause more cycling (X → ¬Y). The correct answer introduces Z: "the commuting-age population fell by 30%." Now the conjunction X ∧ Z (more lanes but fewer potential riders) makes Y (fewer total cyclists) entirely predictable. The resolution works because Z doesn't challenge X or Y — it reframes the relationship between them.

Common Resolution Categories

  • Rate vs. Absolute Number: A rate increases but the total decreases (or vice versa) because the base population changed. This is among the most frequently tested resolution types.
  • Compensating Factor: A countervailing force overwhelms the expected effect. For example, a drug reduces symptom X but patients also experience benefit Y that makes the overall picture seem paradoxical.
  • Definitional Distinction: The two facts use the same term in subtly different ways, or the categories they reference overlap in unexpected ways.
  • Temporal or Scope Shift: Fact A describes one time period, group, or context while Fact B describes a different one, and the resolution explains what changed between them.
  • Selection Bias: The population being measured in Fact B is not representative in the way we initially assumed, which accounts for the surprising result.
SECTION 5

Classifying Answer Choices — A Detailed Breakdown

One of the greatest challenges in Resolve-the-Paradox questions is efficiently distinguishing the correct answer from four carefully crafted distractors. Understanding the taxonomy of wrong answer types will accelerate your elimination process. The GRE typically includes distractors that fall into one of several predictable categories, each designed to exploit a different type of reasoning error.

Five Answer Choice CategoriesTHE STIMULUS (Paradox)✓ RESOLVESIntroduces a hiddenvariable that makesboth facts compatible.SELECT THIS ONE✗ IRRELEVANTTrue but unrelatedto the specifictension at hand.Doesn't address gap✗ DEEPENSMakes the paradoxeven harder toexplain.Opposite of resolve✗ PARTIALAddresses one factbut not the tensionbetween them.Misses the link✗ OUT OF SCOPEIntroduces a newtopic not connectedto the stimulus.New subject matterQuick Elimination FlowchartRead answer →Does it addressboth facts?No → EliminateDoes it explainthe tension?No → EliminateDoes it makeboth facts natural?Yes → Select ✓
This classification diagram shows the five types of answer choices you will encounter. Only one — the Resolves type — is correct. The bottom flowchart provides a rapid three-step elimination process: check whether the answer addresses both facts, whether it explains the specific tension, and whether it makes both facts seem natural rather than contradictory.
A taxonomy of answer choice types in Resolve-the-Paradox questions
Answer TypeWhat It DoesHow to Spot It
Resolves (Correct)Introduces a hidden variable that makes both facts simultaneously reasonable.After reading it, the tension between Fact A and Fact B vanishes. Both seem perfectly natural.
IrrelevantProvides true information that has no bearing on the specific discrepancy.It mentions topics from the stimulus but does not connect to the tension point. The paradox remains after reading it.
DeepensAdds information that makes the paradox harder to explain.It provides another reason to expect the opposite of Fact B, making the discrepancy more puzzling.
PartialAddresses only one of the two facts without bridging the gap.It elaborates on Fact A or Fact B individually but doesn't explain why both are true at once.
Out of ScopeIntroduces an entirely new subject or context unrelated to the stimulus.You cannot connect it to either fact without making large inferential leaps.
SECTION 6

Worked Example — Step-by-Step Resolution

📝 SAMPLE STIMULUS
A pharmaceutical company recently reformulated its leading pain reliever, replacing the original active ingredient with one that clinical trials showed to be 40% more effective at reducing pain. However, since the reformulation, consumer satisfaction ratings for the product have declined significantly.
❓ QUESTION STEM
Which of the following, if true, most helps to explain the apparent discrepancy described above?

Let us now walk through the full reasoning process, from identifying the paradox to selecting and verifying the correct answer.

Resolving the Pain Reliever Paradox

Step 1 — Identify the Two Facts

Fact A: The new active ingredient is 40% more effective at reducing pain than the original. Fact B: Consumer satisfaction with the product has declined since the reformulation. Both facts are presented as true — we do not question either one.
Fact A = more effective ingredient. Fact B = lower satisfaction.

Step 2 — Articulate the Tension Point

The implicit assumption is that a more effective pain reliever should lead to higher consumer satisfaction. After all, if the product works better, consumers should be happier. Yet the opposite occurred. Our tension point is: why would a product that works better receive lower satisfaction ratings?
Tension: More effective should → higher satisfaction, but satisfaction declined.

Step 3 — Predict the Shape of the Correct Answer

Before looking at answer choices, hypothesize what kind of information would resolve this. We need something that explains why consumers would be less satisfied despite better pain relief. Possibilities include: the new ingredient has an unpleasant side effect, the product now costs more, it tastes or smells worse, or it takes longer to act — any factor that could offset the pain-relief advantage.
Prediction: a compensating negative factor outweighs the effectiveness gain.

Step 4 — Evaluate Answer Choices

(A) The company did not change the price of the product. — This eliminates one possible explanation but does not resolve the paradox. Irrelevant. (B) The new active ingredient causes drowsiness that the original ingredient did not. — This introduces a significant side effect that could easily outweigh improved effectiveness in consumer perception. This matches our prediction. (C) Competitors also reformulated their products during the same period. — What competitors did does not explain this product's satisfaction decline. Irrelevant/Out of Scope. (D) The clinical trials involved over 10,000 participants. — This strengthens the finding that the ingredient is more effective, which deepens the paradox. (E) Many consumers were unaware that the product had been reformulated. — This is interesting but does not explain dissatisfaction; if anything, unaware consumers would rate the product the same or better.
Answer (B) resolves the paradox: a drowsiness side effect explains lower satisfaction despite better pain relief.

Step 5 — Verify with the 'Both True' Check

If (B) is true — the new ingredient causes drowsiness — then both original facts make perfect sense simultaneously. The ingredient is indeed better at relieving pain (Fact A remains true), but consumers experience an unwanted side effect that reduces their overall satisfaction (Fact B remains true). The tension dissolves completely. The correct answer is (B).
✓ Verified: (B) allows both facts to coexist without contradiction.
SECTION 7

Common Traps & How to Avoid Them

Even well-prepared test-takers fall into predictable traps on Resolve-the-Paradox questions. Understanding these traps in advance transforms them from pitfalls into signposts that guide you toward the correct answer. Below is a comparative overview of the most common errors alongside the strategic habits that prevent them.

Common traps and strategic countermeasures for Resolve-the-Paradox questions
Common TrapWhy It's TemptingStrategic Countermeasure
Choosing the 'deepener'The answer seems relevant because it mentions the same topic. But it actually adds another reason to expect the opposite of Fact B.After reading each choice, ask: 'Does this make the discrepancy less surprising or more surprising?' If more, eliminate immediately.
Confusing 'explains one fact' with 'resolves the tension'An answer that provides additional detail about Fact A feels productive, but it does not bridge the gap to Fact B.Ensure your chosen answer explicitly connects both facts. It must function as a bridge, not a footnote to one side.
Over-reading or inventing connectionsA vaguely related answer can seem correct if you construct a multi-step chain of inference to link it to the paradox.The correct answer should require at most one inferential step. If you need a chain of three or more assumptions, the answer is likely wrong.
Challenging a stated factYou may instinctively doubt one of the premises, especially if it seems unlikely in the real world.Remember the golden rule: both facts are given as true. Your job is never to undermine them but to explain their coexistence.
Rushing without identifying the tension pointUnder time pressure, students jump to answer choices before clearly articulating what needs to be resolved.Spend 10–15 seconds after reading the stimulus to mentally state the paradox in your own words before looking at any choices.
✦ KEY TAKEAWAY
Think of wrong answers like detours on a road trip. A deepener takes you further from your destination; an irrelevant answer takes you to a different city entirely; a partial answer gets you halfway there but stalls. Only the correct answer is a complete bridge that carries you from Fact A to Fact B without any gap in the road.
SECTION 8

Connection to Other GRE Argument Question Types

Resolve-the-Paradox questions exist within a larger ecosystem of GRE argument question types. Understanding how this type relates to others will strengthen your overall Verbal Reasoning performance. The skills you develop here — identifying implicit assumptions, evaluating the relevance of new information, and testing the logical fit of answer choices — transfer directly to Strengthen, Weaken, and Assumption questions. However, the specific task in each type differs in subtle but critical ways.

Comparison of GRE argument question types
Question TypeTaskRelationship to Resolve-Paradox
Resolve ParadoxExplain how two apparently contradictory facts can both be true.This is the focal type. Both premises are accepted; you supply a missing piece of context.
StrengthenFind information that makes an argument's conclusion more likely to be true.Similar in that you add supportive information, but here you support a conclusion rather than reconcile two facts.
WeakenFind information that makes an argument's conclusion less likely to be true.Opposite direction: you undermine rather than support. A 'deepener' on a paradox question would function as a strengthener of the discrepancy.
AssumptionIdentify the unstated premise that the argument requires.Closely related: the implicit assumption in a paradox question is the expectation that creates the tension. Spotting it helps you predict the answer.
Evaluate the ArgumentDetermine what additional evidence would help assess the argument.Both types ask 'what additional information matters?' but evaluation questions are open-ended, while paradox questions have a single best resolution.

As you advance in your GRE preparation, you will notice that the ability to identify the logical gap in an argument — whether that gap is an unstated assumption, a vulnerability to attack, or an unexplained discrepancy — forms the common foundation of all argument-based questions. Practicing Resolve-the-Paradox questions sharpens this foundational skill because they require you to hold two competing ideas in mind simultaneously and find the synthesis. This kind of dialectical reasoning is precisely what graduate programs value and what the GRE is designed to measure.

SECTION 9

Practice Problems

PROBLEM 1 — CONCEPTUAL
In a Resolve-the-Paradox question, the stimulus presents two facts that seem contradictory. A student selects an answer choice that provides additional evidence making Fact A seem even more surprising. Has the student resolved the paradox? Explain why or why not.
PROBLEM 2 — BASIC
Stimulus: 'A city installed 200 new streetlights in its downtown area to reduce nighttime crime. However, reported nighttime crime in the downtown area increased by 12% in the year following the installation.' Which of the following, if true, most helps to explain the apparent discrepancy? (A) The new streetlights were more energy-efficient than the old ones. (B) The improved lighting made it easier for victims and witnesses to observe and report crimes that previously went unnoticed. (C) Another city that installed similar streetlights saw a decrease in crime. (D) Daytime crime in the same area decreased during the same period.
PROBLEM 3 — INTERMEDIATE
Stimulus: 'A national survey found that people who regularly eat organic food have, on average, higher rates of certain types of cancer than people who eat conventionally grown food. Yet laboratory studies have consistently shown that organic produce contains fewer carcinogenic pesticide residues than conventional produce.' Which of the following best resolves this apparent discrepancy? (A) Organic food costs more than conventional food on average. (B) People who choose to eat organic food tend to be more health-conscious overall and are therefore more likely to undergo cancer screenings, leading to higher detection rates. (C) Some organic farms use natural pesticides that have not been fully studied. (D) The survey included respondents from all 50 states. (E) Organic farming has become more widespread over the past two decades.
PROBLEM 4 — APPLIED
Stimulus: 'A university's engineering program implemented a rigorous new admissions standard that significantly raised the minimum GPA and test score requirements for incoming students. Surprisingly, the average GPA of students enrolled in the engineering program in the following year was lower than in the previous year.' Which of the following, if true, most helps to resolve the paradox? (A) The university also increased its financial aid budget for engineering students. (B) Several students who would have been admitted under the old standards chose to attend other universities instead. (C) Under the old standards, many students with borderline credentials were placed into a pre-engineering track rather than the engineering program itself, whereas the new policy eliminated the pre-engineering track and admitted all qualifying students directly into the program. (D) Faculty members in the engineering department opposed the new admissions standards. (E) The number of applications to the engineering program increased by 20%.
PROBLEM 5 — CRITICAL THINKING
Stimulus: 'Country Q imposed a 50% tariff on imported steel in an effort to protect its domestic steel industry. In the three years following the tariff's implementation, domestic steel production in Country Q declined by 8%, and two major domestic steel mills closed permanently. Meanwhile, the volume of steel imported into Country Q also decreased by 30%.' Construct your own answer choice that would resolve this paradox, and explain why it works. Then construct an answer choice that would deepen the paradox, and explain why it fails.
SUMMARY

Lesson Summary

Resolve-the-Paradox questions on the GRE present two apparently contradictory facts and ask you to find the answer choice that reconciles them. The fundamental principles are: accept both facts as given, identify the tension point (the implicit assumption that makes them seem contradictory), and select the answer that introduces a hidden variable making both facts simultaneously natural. Common resolution types include rate-vs.-absolute-number distinctions, compensating factors, definitional shifts, and selection bias.

To avoid common traps, always distinguish between answers that resolve the paradox and those that are merely irrelevant, partial, deepening, or out of scope. Use the 'Both True' verification check: if your chosen answer allows both original facts to coexist comfortably, you have likely found the correct resolution. This skill — finding the synthesis between competing observations — is the hallmark of the analytical reasoning graduate programs expect, and mastering it will serve you well beyond the GRE.

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