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Official Guide Explanation:
Problem Solving #85
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: 85
Page: 164
Difficulty: 6 (Moderately Difficult)
Category 1: Algebra > Functions > Sequences
Explanation: In a series of ten consecutive integers, the sixth is five greater than the first, the seventh is five greater than the second, and so on. Consider an example of the ten consecutive integers {11, 12, 13, 14, 15, 16, 17, 18, 19, 20}. It doesn't matter what the numbers are--this is a general truth of consecutive integers. Thus, if each of the last five digits is five greater than the corresponding member of the first five digits, the difference between the sum of the first five and the last five is 5(5) = 25. If the sum of the last five digits is 25 greater than the sum of the first five, and the sum of the first five is 560, the sum of the last five is 560 + 25 = 585, choice (A).
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