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GMAT Prep2?? (Committee)

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GMAT Prep2?? (Committee)

by dferm » Wed May 14, 2008 8:54 pm
One member of a committee of 5 men and 8 women resigned and was not replaced. What fraction of the remaining members were men?

(1) 7/12 of the remaining members were women.
(2) The member who resigned was a woman.

Please Help..

Thanks.
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Source: — Data Sufficiency |
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by VP_Jim » Wed May 14, 2008 9:48 pm
Hi dferm,

For statement 1, if 7/12 of the members are women, then 5/12 must be men (since a member must be a man or a woman, anyone who is not a woman must be a man).

For statement 2, originally, 8/13 members of the committee are women. Then, if one woman resigns, we're down to 7/12 are women, which means that 5/12 are men (see statement 1's reasoning).

So, each statement is sufficient by itself, and D is the correct answer.
Jim S. | GMAT Instructor | Veritas Prep
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