How many members of the staff of Advanced Com...

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How many members of the staff of Advanced Computer Technology Consulting are women from outside the United States?
1. one-fourth of the staff at Advanced Computer Technology Consulting are men
2. 20% of the staff, or 20 individuals, are men from the U.S.; there are twice as many women from the U.S. as men from the U.S.
• a)
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;
• b)
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;
• c)
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;
• d)
• e)
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

Note that this question asks for a specific number, not a ratio. Consequently, keep in mind that knowing y percent of the total staff is composed of women from outside the United States is not sufficient.
Evaluate Statement (1) alone.
• If 25% of the staff are men, 75% must be women.
• There is not enough information to determine the number of women from outside the United States. Statement (1) alone is NOT SUFFICIENT.
Evaluate Statement (2) alone
• Since 20 men from the U.S. represent 20% of the staff, the total staff is 100. We also know that there are 20 men from the U.S. and 2(20)=40 women from the U.S. for a total of 20+40=60 employees from the U.S. Consequently, 100-60=40 employees must be from outside the U.S.
• Since we cannot determine the breakdown of the 40 employees from outside the U.S., it is impossible to determine the number of women from outside the U.S.; Statement (2) alone is NOT SUFFICIENT.
Evaluate Statements (1) and (2) together.
• Fill in as much information as possible from Statements (1) and (2). We now know that there are a total .25(x) =. 25(100) = 25 men and .75(x) = .75(100) = 75 women.
• 35 members of the staff of Advanced Computer Technology Consulting are women from outside the United States.
Since Statement (1) alone is NOT SUFFICIENT and Statement (2) alone is NOT SUFFICIENT, but Statements (1) and (2), when taken together, are SUFFICIENT, answer C is correct.

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