Official Guide Explanation:
Data Sufficiency #113




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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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