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## Official Guide Explanation:Problem Solving #29

Background

This is just one of hundreds of free explanations I've created to the quantitative questions in The Official Guide for GMAT Quantitative Review (2nd 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.

Question: 29
Page: 65
Difficulty: 4 (Moderately Easy)
Category 1: Arithmetic > Fractions >
Category 2: Arithmetic > Decimals >

Explanation: If you don't recognize 0.0625 as (1/16), this is somewhat cumbersome to solve for. However, you should be able to eliminate (A) and (B) easily: they are far too big. Also, (1/18) can't be it: any fraction with 3 or a multiple of 3 in the denominator will convert to a repeating decimal. To solve, set up as a fraction: ((.0625)/1) = (625/(10,000)) = (125/(2,000)) = (25/400) = (5/80) = (1/16) , choice (C). That's a good motivation for memorizing that (1/16) is 6.25%, right?

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