Official Guide Explanation:
Problem Solving #203




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Solution and Metadata

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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