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Official Guide Explanation:
Data Sufficiency #118
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: 118
Page: 283
Difficulty: 4 (Moderately Easy)
Category 1: Word Problems > Rate Problems > other
Explanation: To answer this question, you need a lot of information: the regular hourly rate, the number of hours worked beyond 40 hours, and the number of hours worked on Sunday. Statement (1) provides the regular hourly rate, but nothing else, so it is insufficient. Statement (2) gives total number of hours, but the information about the number of hours per day is irrelevant. Since there's nothing about dollars per hour, (2) is insufficient.
Taken together, there's still not enough information. Those 54 hours could come from 54 from Monday through Saturday, or could be a few hours on Sunday and the remainder from Monday to Saturday. Those two scenarios would result in different payment amounts for the week, so choice (E) is correct.
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