GMAT Testing -- Quantitative Ability, Arithmetic and Number Theory

GMAT Home > Test Yourself—Quantitative Ability > Arithmetic and Number Theory

T E S T Y O U R S E L F
Arithmetic and Number Theory
(10 Practice Questions)

On the GMAT, 14-15 Quantitative questions (out of 37) focus on arithmetic concepts and number theory. (They'll be interspersed with algebra, geometry, and data interpretation questions.) The test-makers use both the Problem Solving format and the Data Sufficiency format for arithmetic and number-theory questions.

INSTRUCTIONS FOR PRACTICE QUESTIONS:

Before you begin, review these Problem-Solving QuickTips and Data-Sufficiency QuickTips. Then review the test directions (below).
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Go to the first practice question ("Begin Practice"). Select an answer choice by clicking on a button, then click on "Answer/Analysis" (or go directly to the next question). Use your browser's BACK button to review your responses. This is not a timed test.
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To gauge your performance, tally up your correct responses. After completing all four Quantitative Practice Sets, check your grand total against the Quantitative Score conversion table.

> > > BEGIN PRACTICE > > >

OFFICIAL TEST DIRECTIONS
Directions for Problem Solving Questions
(Questions 1, 2, 5, 7, 8, and 10)
Solve each problem and indicate the best of the answer choices given.
All numbers used are real numbers.
Directions for Data Sufficiency Questions
(Questions 3, 4, 6, and 9)
Each Data Sufficiency problem consists of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements plus your knowledge of mathematics and everyday facts, you must indicate whether:
statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;
statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked; but NEITHER statement ALONE is sufficient;
EACH statement ALONE is sufficient to answer the question asked;
statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
Note: In data sufficiency problems that ask you for the value of a quantity the data given in the statements are sufficient only when it is possible to determine exactly one numerical value for the quantity.
All numbers used are real numbers.