Instructions
A survey was conducted among 360 billionaires in Mayfair to examine their ownership of four luxury car brands: Ferrari, Aston Martin, Bentley, and Rolls-Royce. The number of cars owned among these individuals of these brands was strictly decreasing in the given order. Additionally, it was found that the number of people driving at most two of these brands is exactly twice the number of those driving at least two. Similarly, the number of individuals who drive at most three brands is three times the number of those driving at least three.
Question 14
Sixty billionaires drive cars from all four luxury brands. The total number of cars owned by the billionaires, as well as the number of billionaires who do not drive any of these cars, are perfect square natural numbers. If \( X \) is the total number of billionaires who own cars from exactly one brand, what is the sum of the possible values of \( X \) ?
Marks:3.0 Negative Marks:1.0