Quantitative Comparison
This topic covers comparing two quantities, choosing sufficient relationships, testing cases, variables, constraints, inequalities, and when a relationship cannot be determined.
How to study for the GRE
Build every answer around the exact task: passage evidence, blank logic, argument structure, equation setup, units, data labels, and section-level timing.
Core concepts
Concept 1
Quantitative Comparison questions test reasoning under the current GRE General Test structure.
Exam cue: Name the question type, then mark the evidence, blank logic, argument role, equation, table label, or writing goal.
Concept 2
The best answer identifies the task, evidence, relationship, equation, quantity, or writing move before comparing choices.
Exam cue: Check scope, contrast words, quantifiers, units, graph labels, variable definitions, and whether the answer fits every condition.
Concept 3
Eliminate choices that add outside assumptions, reverse the relationship, ignore wording, misuse units, or answer a nearby but different task.
Exam cue: Use review time to verify the exact prompt, not just the topic that first looked familiar.
Risk pitfalls and guardrails
Choosing a familiar word, formula, or claim without testing it against the exact context.
Guardrail: Use a 15-second safety pause before finalizing your action.
Treating a GRE reasoning item like a memorization item rather than a task about relationships.
Guardrail: Use a 15-second safety pause before finalizing your action.
Skipping the final reasonableness check for passage support, sentence meaning, or quantitative scale.
Guardrail: Use a 15-second safety pause before finalizing your action.
Memory anchors
Quantity A
Quantity A is compared directly with Quantity B under the given conditions.
Quantity B
Quantity B may be greater, smaller, equal, or not comparable depending on facts.
Cannot Determine
Cannot determine is correct when valid cases produce different relationships.
Test Cases
Testing cases can reveal whether a relationship is fixed or variable.
Constraint
A constraint limits the values allowed in the comparison.
Positive Negative
Positive and negative cases can change inequality relationships.
Equality Case
Testing equality can reveal whether two quantities can match.
Extremes
Extreme values help test boundaries of a comparison.
Simplification
Simplification can expose the underlying relationship between quantities.
Avoid Assumption
Do not assume integer, positive, or distinct values unless stated.
Checkpoint rule
Do the check-up only after you can summarize each concept in one sentence and identify one dangerous pitfall from memory.
Knowledge Check (after reading)
Short check-up to confirm understanding of this module.
Check-up Questions
Given x > 0, compare Quantity A: x + 1 with Quantity B: x.
Given x > 1, compare Quantity A: x² with Quantity B: x.
Answer all questions to submit.
Next step personalized recommendations
Continue learning
Move forward only after this module is stable.
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