Official Guide Explanation:
Data Sufficiency #12

 

 

Background

This is just one of hundreds of free explanations I've created to the quantitative questions in The Official Guide for GMAT Review (12th ed.). Click the links on the question number, difficulty level, and categories to find explanations for other problems.

These are the same explanations that are featured in my "Guides to the Official Guide" PDF booklets. However, because of the limitations of HTML and cross-browser compatibility, some mathematical concepts, such as fractions and roots, do not display as clearly online.

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Solution and Metadata

Question: 12
Page: 273
Difficulty: 4 (Moderately Easy)
Category 1: Arithmetic > Properties of Integers > Evens and Odds

Explanation: The sum of two integers is even if both integers are even or both integers are odd. Statement (1) is insufficient because it doesn't tell us whether i is even or odd, or anything about j. Statement (2) is sufficient: if i = j, then they are either both even or both odd. In either case, i + j is even, so the correct choice is (B).

Click here for the full list of GMAT OG12 explanations.

 

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