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15 Aug 2019, 01:32
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D
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Difficulty:
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Question Stats:
91% (01:06) correct
9%
(01:08)
wrong
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At a company's awards ceremony, 3/5 of the attendees were company employees and the remaining attendees were staff hired for the event. If 1/5 of the employees were managers, what was the number of employees who were not managers?
(1) There were 125 attendees.
(2) There were 50 staff hired for the event.
(1) There were 125 attendees.
(2) There were 50 staff hired for the event.
15 Aug 2019, 01:45
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Bunuel
At a company's awards ceremony, 3/5 of the attendees were company employees and the remaining attendees were staff hired for the event. If 1/5 of the employees were managers, what was the number of employees who were not managers?
(1) There were 125 attendees.
(2) There were 50 staff hired for the event.
(1) There were 125 attendees.
(2) There were 50 staff hired for the event.
Given: At a company's awards ceremony, 3/5 of the attendees were company employees and the remaining attendees were staff hired for the event. If 1/5 of the employees were managers.
Asked: What was the number of employees who were not managers?
(1) There were 125 attendees.
3/5 of the attendees (75) were company employees and the remaining attendees were staff hired(50) for the event. If 1/5 (15) of the employees were managers. the number of employees who were not managers (4/5 of employees = 60)
SUFFICIENT
(2) There were 50 staff hired for the event.
2/5 of the attendees were hired staff = 50
Total number of attendees = 125
3/5 of the attendees (75) were company employees and the remaining attendees were staff hired(50) for the event. If 1/5 (15) of the employees were managers. the number of employees who were not managers (4/5 of employees = 60)
SUFFICIENT
IMO D
17 Sep 2019, 03:26
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Bunuel
At a company's awards ceremony, 3/5 of the attendees were company employees and the remaining attendees were staff hired for the event. If 1/5 of the employees were managers, what was the number of employees who were not managers?
(1) There were 125 attendees.
(2) There were 50 staff hired for the event.
(1) There were 125 attendees.
(2) There were 50 staff hired for the event.
Official Explanation
In this question, we have company members, who include so-called managers and non-managers, and event staff. On to the data statements, separately first.
Statement (1) gives us the total number of attendees. This number times 3/5 will give us the number of employees, 3/5*125, and that number times 4/5 will be the number of non-managers. So we can determine the number of non-managers uniquely. Statement (1) is sufficient.
Statement (2) gives us the number of staff. Since 2/5 of the total are staff, we can form an equation 2/5*total = 50 and thus solve for the total number. By the logic discussed for Statement (1), having the total number of attendees is sufficient. Therefore, Statement (2) is sufficient.
The correct answer is (D).
