Last Updated on May 9, 2023
GMAT OFFICIAL GUIDE DS
Solution:
We can start by defining a variable for the total number of people on the cruise, variable T. We are given that 2/3 of the passengers were company employees and that the remaining passengers were their guests. Thus, if (2/3)T = the number of employees, then 1 – (2/3)T = (1/3)T are their guests.
We are also given that ¾ of the company-employee passengers were managers. However, we are asked to determine the number of company-employee passengers who were NOT managers. Since ¾ are managers, ¼ are not managers.
1/4(2/3)T = employees who are NOT managers
(1/6)T = employees who are NOT managers
We see that if we can determine a value for T, we can determine the number of company-employee passengers who were NOT managers
Statement One Alone:
There were 690 passengers on the cruise.
Using the information in statement one, we see that T = 690. Since we have determined a value for T, we can determine the number of company-employee passengers who were NOT managers. Statement one alone is sufficient to answer the question. We can eliminate answer choices B, C, and E.
Statement Two Alone:
There were 230 passengers who were guests of the company employees.
From the given information we know that (1/3)T represents the number of passengers who were guests of company employees. Thus, we can say:
230 = (1/3)T
690 = T
Since we have determined a value for T, we can determine the number of company-employee passengers who were NOT managers. Statement two alone is also sufficient to answer the question.
Answer: D