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## Official Guide Explanation:Problem Solving #167

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: 167
Page: 176
Difficulty: 6 (Moderately Difficult)
Category 1: Word Problems > Sets >
Category 2: Arithmetic > Sets > 2 sets

Explanation: This is a classic overlapping sets question, and is perfect for the formula T = G1 + G2-B + N. T = 30 (number of total applicants), G1 = 14 (the number of applicants with 4 years experience), G2 = 18 (the number of applicants with degrees), and N = 3 (the number of applicants with neither). The question is asking for B, the overlap between applicants with four years experience and those with degrees, so we can plug all of those values into the equation and solve for the remaining variable:

30 = 14 + 18 - B + 3

30 = 35 - B

B = 5, choice (E).

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