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## Official Guide Explanation:Problem Solving #203

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.

Question: 203
Page: 181
Difficulty: 5 (Moderate)
Category 1: Arithmetic > Decimals >
Category 2: Arithmetic > Properties of Integers > Other
Category 3: Arithmetic > Fractions >

Explanation: If the GMAT asks you about the 25th digit of something, assume there's a quicker way that doing the long division out to the 25th decimal place! In this case, (6/11) is a repeating decimal. It's one of the rare instances when you have to do long division: (6/11) = 0.54‾ , so the odd - numbered digits to the right of the decimal point are 5, and the even - numbered digits are 4. Thus, the 25th digit is 5, choice (C).

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