GRE · Quantitative: Quantitative Comparison · United States

Quantitative: Quantitative Comparison for the GRE Exam — U.S. candidates

8% of the GRE test plan. Quantitative Comparison (QC) items present two quantities and ask whether Quantity A is greater, Quantity B is greater, they are equal, or the relationship cannot be determined — requiring strategy over computation. Calibrated for American candidates.

High-stakes exams reward two skills equally: knowledge and test-craft. This page focuses on both for one of the most failure-prone areas. Quantitative: Quantitative Comparison sits at roughly 8% of the Graduate Record Examinations content distribution — Quantitative Comparison items make up roughly 40% of all GRE Quantitative questions (about 15 per section). They are the most distinctive GRE question type and require a fundamentally different approach than problem-solving: the goal is to determine the relationship between two quantities as efficiently as possible, not to calculate exact values. Mastering QC strategy — simplification, substitution of edge cases, and recognizing when a relationship is always/sometimes/never true — can dramatically improve Quant scores. In 2024, the published overall rate for GRE candidates in United States was 50% (ETS — GRE General Test Snapshot Report 2023–24 (V+Q ≥ 310 cohort threshold)). For U.S. candidates preparing for GRE, the calibration of study to local context matters: U.S. licensure exams are governed at the state level (CDL, NCLEX) or by national boards (MCAT, GRE). Pearson VUE and PSI are the dominant test-delivery vendors.

Common failure modes

These are the patterns that cause most candidates to lose marks on this topic. Recognising them in advance is half the work.

!Computing both quantities fully when simplification would determine the relationship in seconds
!Trying only one substitution value (often x = 2) when testing variables — always test x = 0, x = 1, x = −1, and a fraction
!Forgetting that if two different substitution values give different comparison results, the answer is automatically D (cannot be determined)
!Not cancelling equal quantities from both sides — any quantity that appears identically on both sides can be subtracted or divided out

Study tips

1Learn the four QC simplification techniques: (1) add/subtract the same value from both sides, (2) multiply/divide by the same positive value, (3) substitute numbers, (4) use algebraic simplification. Apply them in this priority order.
2Always test at least four values when a variable is present: 0, 1, −1, and 1/2. These cover cases where the comparison changes direction.
3If the relationship between two quantities depends on a constraint not given (e.g., "x > 0" is not stated when x is a variable), the answer is likely D.
4Practice 20 QC problems per session to build pattern recognition — certain algebraic structures recur frequently (absolute values, squares of variables, expressions with fractions).
5If you are testing in the U.S., expect GRE delivery via Pearson VUE or PSI test centres — register through the official board portal at least 30 days in advance.

Sample GRE Quantitative: Quantitative Comparison questions

These sample items mirror the format and difficulty of real GRE questions. Practice with thousands more on the free Koydo question bank.

1
Quantity A: x² + 2x + 1. Quantity B: (x + 1)². (x is any real number)
- AQuantity A is greater
- BQuantity B is greater
- CThe two quantities are equalCorrect
- DThe relationship cannot be determined from the information given
Why this answer?
Quantity A: x² + 2x + 1 is the expanded form of (x+1)² by the binomial square formula. Quantity B is (x+1)². Therefore A = B for all real values of x. The answer is C. This tests recognizing the special binomial identity — no calculation needed. (Illustrative.)
2
Quantity A: |x − 3| when x = −2. Quantity B: |x + 3| when x = 2.
- AQuantity A is greater
- BQuantity B is greater
- CThe two quantities are equalCorrect
- DThe relationship cannot be determined
Why this answer?
Quantity A: |−2 − 3| = |−5| = 5. Quantity B: |2 + 3| = |5| = 5. The quantities are equal. This tests absolute value evaluation with negative inputs — a common QC sub-type.

Frequently asked questions

What does "the relationship cannot be determined" mean in practice?

Answer D is correct when no single relationship (A > B, B > A, or A = B) holds for all possible values of the variables. If you find one substitution where A > B and another where B > A, D is correct. If A = B for one substitution but A > B for another, D is correct.

Should I guess on QC questions or skip them?

The GRE does not penalize wrong answers. Never leave a question blank — always guess. For QC items where you're uncertain, eliminate obviously wrong choices and guess from the remaining. If the quantities involve variables with no constraints, D is slightly more likely than C.

What is the GRE Quantitative: Quantitative Comparison pass rate for American candidates?

The published overall rate for GRE candidates in United States in 2024 was 50%, according to ETS — GRE General Test Snapshot Report 2023–24 (V+Q ≥ 310 cohort threshold). Pass rates within specific topics like Quantitative: Quantitative Comparison are not separately published, but the topic represents roughly 8% of the exam.

How long should American candidates study Quantitative: Quantitative Comparison for the GRE?

For most candidates, focused mastery of Quantitative: Quantitative Comparison requires 20–40 hours of deliberate practice — drilling sample questions, reviewing failure modes, and timing yourself against exam conditions. U.S. licensure exams are governed at the state level (CDL, NCLEX) or by national boards (MCAT, GRE). Pearson VUE and PSI are the dominant test-delivery vendors. Combine Quantitative: Quantitative Comparison study with full-length mock exams in the final two weeks before your test date.

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Related study guides

Regulatory citation: ETS GRE General Test Preparation — Quantitative Reasoning question types and conventions.