Overlapping Sets Challenge: Billionaires and Their Luxuries

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Explore a mathematical puzzle involving overlapping sets with a survey of 100 billionaires. Each billionaire owns at least one of three luxurious items: a private jet, a yacht, or a sports car. The survey reveals that 40 billionaires own a private jet, 47 own a yacht, and 60 own a sports car, with 9 billionaires owning all three items. Your task is to determine how many billionaires do not own exactly one of the three items. Choose from the options: 18, 21, 29, 38, or 47.

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May 12, 2026

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Overlapping Sets Challenge: Billionaires and Their Luxuries

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Weekly Challenge GMAT GMAT Overlapping Sets PS GRE • According to a recent survey of 100 billionaires, each owns at least one of the three items – Private Jet, Yacht and Sports Car. Forty of these billionaires own a private jet, forty-seven billionaires own a yacht, and sixty billionaires own a sports car. If only nine billionaires own all the three, how many billionaires DO NOT own exactly one of the three items? • (A) 18 • (B) 21 • (C) 29 • (D) 38 • (E) 47