Official Guide Explanation:
Data Sufficiency #49

 

 

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: 49
Page: 277
Difficulty: 4 (Moderately Easy)
Category 1: Algebra > Inequalities > other

Explanation: To answer the question, we'll need some point of comparison among the variables a, b, c, and d to tell us more about x and y.

Statement (1) is insufficient. If, for instance, a = 1 and c = 2, x could still be bigger than y--we don't know anything about the upper limits of those numbers.

Statement (2) is sufficient. If b is less than c we can link to the two sets of inequalities together:

a < xIf y is greater than c, which is greater than b, which is greater than x, y must be greater than x. Choice (B) is correct.

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