Official Guide Explanation:
Data Sufficiency #96

 

 

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: 96
Page: 281
Difficulty: 5 (Moderate)
Category 1: Word Problems > Data Interpretation >
Category 2: Geometry > Circles > other

Explanation: Since we're given the total expenses, we need to know what percent of the circle is represented by R. Statement (1) gives us that: a circle has a total of 360 degrees, so if x = 94, R represents (94/360) of the circle, from which we can find the dollar amount R represents. Statement (2) isn't enough: we don't know what percent S + T makes up, or what percent S + T + R makes up, so this ratio doesn't help us. The correct choice is (A).

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