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Official Guide Explanation:Data Sufficiency #102

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: 102
Page: 160
Difficulty: 6 (Moderately Difficult)
Category 1: Algebra > Symbolism >
Category 2: Algebra > Inequalities > other
Category 3: Arithmetic > Real Numbers >

Explanation: Statement (1) is sufficient. The difference between y and [y] can never be greater than or equal to 1. For instance, if y = 2, then [y] = 2. If y = 1.99, then [y] = 1. The biggest possible difference between y and [y] is a little bit less than 1, so d < 1.

Statement (2) is also sufficient. If [d] = 0, d cannot be greater than or equal to 1. If d = 1, then [d] = 1. If d is greater than 1, [d] is greater than or equal to 1, as well. Choice (D) is correct.

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