Official Guide Explanation:
Problem Solving #10

 

 

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.

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Solution and Metadata

Question: 10
Page: 63
Difficulty: 3 (Very Easy)
Category 1: Arithmetic > Percents > other
Category 2: Word Problems > Other >

Explanation: This question is a bit involved because of all the talk of prime numbers, but it's essentially asking: what percent of 10 million is 664,579? Additionally, you don't need to worry about the last few digits: all of the answer choices are no more detailed than 660,000. To find the answer, put the percent in fraction form: ((660,000)/(10,000,000)). Cancel out four zeros from the top and bottom of the fraction: (66/(1,000)) = ((6.6)/100) = 6.6%, choice (D).

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