NandishSS wrote:If 25% of a company's employees are women older than 30, what percent of the men employees are 30 or younger?
1.Half of the women employees are 30 or younger
2.35% of the company's employees are men of 30 or younger
Let the total number of employees = 100.
Since 25% of the employees are women older than 30, the following matrix is yielded:
What percent of the men employees are 30 or younger?
Question stem, rephrased:
What is the value of (men 30 or younger)/(all men)?
Statement 1: Half of the women employees are 30 or younger.
Since half of the women are 30 or younger, the 25 women who are older than 30 must constitute the remaining half of the women, implying that there are a total of 50 women.
The following matrix is yielded:

No way to determine the value of (men 30 or younger)/(all men).
INSUFFICIENT.
Statement 2: 35% of the company's employees are men of 30 or younger.
The following matrix is yielded:

No way to determine the value of (men 30 or younger)/(all men).
INSUFFICIENT.
Statements combined:
The following matrix is yielded:

Thus:
(men 30 or younger)/(all men) = 35/50.
SUFFICIENT.
The correct answer is
C.
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