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## Official Guide Explanation:Data Sufficiency #D33

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: D33
Page: 24
Difficulty: 6 (Moderately Difficult)
Category 1: Arithmetic > Powers and Roots of Numbers > Powers
Category 2: Algebra > Exponents >

Explanation: The question can be simplified quite a bit:

((5x + 2)/25) < 1 ?

5x + 2 < 25 ?

5x + 2 < 52 ?

x + 2 < 2 ?

x < 0 ?

Statement (1) is sufficient. If x is 0, 5x = 1. If x is greater than 0, 5x is greater than 1. Thus, if 5x < 1, x is less than zero, so the answer is "yes."

Statement (2) is also sufficient. As we established by simplifying the question, the question is asking whether x is less than zero. This tells us. Choice (D) is correct.

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