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## Official Guide Explanation:Data Sufficiency #113

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.

Solution and Metadata

Question: 113
Page: 282
Difficulty: 5 (Moderate)
Category 1: Word Problems > Sets >
Category 2: Arithmetic > Sets > 2 sets

Explanation: If (3/4) of (2/3) of the passengers are managers, then (1/4) of (2/3) of the passengers are not managers, then we can find the number of non - manager passengers if we know the total number of passengers.

Statement (1) gives us just that: if there are 690 passengers, then (2/3)(690) of them are company employees, and (1/4) of those are not managers. Statement (2) does the same: if there are 230 non - employees, 230 is (1/3) the number of total passengers, so we can derive the number of total passengers. Both statements are sufficient, so the correct choice is (D).

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