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GMAT · Quantitative — Problem Solving · United States

Quantitative — Problem Solving for the GMAT Exam — U.S. candidates

12% of the GMAT test plan. Solving arithmetic, algebra, geometry, and number-properties questions under a 45-minute time limit. 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 — Problem Solving sits at roughly 12% of the Graduate Management Admission Test content distribution — Problem Solving (PS) questions make up roughly 60% of GMAT Quantitative. They test math concepts through the level of high-school algebra and geometry, but with GMAT-specific traps: answer choices are often planted to catch common errors, and time management is critical. Pass rates for the GMAT are published annually by the awarding body and vary by cohort and locale. For U.S. candidates preparing for GMAT, 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.

Pass rates for GMAT (United States) are published periodically by the awarding body.

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.

  • !Solving for x when the question asks for 2x or x+1 — reading the question too quickly
  • !Forgetting order-of-operations when simplifying expressions under time pressure
  • !Using complex algebra when backsolving or number-plugging would be faster

Study tips

  • 1Always re-read the question stem after solving to ensure you answered what was asked.
  • 2Backsolve from answer choices when the question asks for a specific number — start with choice C (the middle value).
  • 3Know the GMAT arithmetic shortcuts: percent increase formula, mixture-problem setup, and work-rate formula.
  • 4If you are testing in the U.S., expect GMAT delivery via Pearson VUE or PSI test centres — register through the official board portal at least 30 days in advance.

Sample GMAT Quantitative — Problem Solving questions

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

  1. 1

    If 3x + 12 = 27, what is the value of x + 4?

    • A5
    • B7
    • C9Correct
    • D15
    Why this answer?

    3x + 12 = 27 → 3x = 15 → x = 5. The question asks for x + 4 = 9, not x itself. A common trap is selecting 5 (the value of x).

  2. 2

    A worker completes a job in 6 hours. A second worker completes the same job in 4 hours. How many hours does it take both working together?

    • A2
    • B2.4Correct
    • C3
    • D5
    Why this answer?

    Combined rate = 1/6 + 1/4 = 2/12 + 3/12 = 5/12 jobs per hour. Time = 1 ÷ (5/12) = 12/5 = 2.4 hours.

Frequently asked questions

What math topics does the GMAT Quantitative section cover?
GMAT Quant covers arithmetic (fractions, percentages, ratios), algebra (linear/quadratic equations, inequalities, functions), geometry (lines, angles, triangles, circles, coordinate geometry), and number properties (primes, divisibility, remainders). No calculus or trigonometry.
What is the GMAT pass rate for American candidates?
Pass rates for GMAT candidates in United States are published periodically by the awarding body. Practice questions, full-length simulations, and weak-area drills are the highest-impact way to improve your odds.
How long should American candidates study Quantitative — Problem Solving for the GMAT?
For most candidates, focused mastery of Quantitative — Problem Solving 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 — Problem Solving study with full-length mock exams in the final two weeks before your test date.

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