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## Official Guide Explanation:Data Sufficiency #114

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: 114
Page: 283
Difficulty: 5 (Moderate)
Category 1: Geometry > Circles > other
Category 2: Arithmetic > Ratio and Proportion >
Category 3: Word Problems > Geometry Problems >

Explanation: Put in more mathematical terms, the circumference of K is (1/2) the circumference of G. To find the area of G, you'll need the radius of G, which you can get from the circumference of G. Since G and K are related, any bit of information--radius, diameter, circumference, area--about either garden will be sufficient.

Statement (1) offers the area of G, from which you can get the radius of G , then the circumference of G, then the circumference of K, so it is sufficient. Statement (2) is also sufficient, as it gives the circumference of G, from which you can get the circumference of K. The correct choice is (D).

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