Official Guide Explanation:
Problem Solving #9

 

 

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: 9
Page: 153
Difficulty: 4 (Moderately Easy)
Category 1: Geometry > Coordinate Geometry > Other

Explanation: When a graph is symmetric with respect to x = 2, it means that any two other x values that are equally distant from 2 have the same corresponding y value. In other words, if the graph is symmetric with respect to x = 2, the y value is the same for x = 0 and x = 4. So, if we need the y value that corresponds to x = 3, it would be sufficient to know the y value that corresponds with x = 1. The question tells us that when x = 1, y = 1, so the answer is 1, choice (E).

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