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Company Y employs c women and d men. Do the women at Company

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Company Y employs c women and d men. Do the women at Company [#permalink] New post 30 Jun 2011, 18:10
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A
B
C
D
E

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Question Stats:

56% (02:04) correct 44% (00:27) wrong based on 16 sessions
Company Y employs c women and d men. Do the women at Company Y earn an average (arithmetic mean) annual salary greater than $25,000?

(1) Company Y pays its employees a total of $30,000(c + d) in salaries annually.
(2) The men at Company Y earn an average (arithmetic mean) annual salary of $34,000.


From my understading that C is correct choice because we can use plug in. If men are 10, women are 2 people. The (1) tells total of salaries, we can figure the total salaries of both men and women.

(2) tell that the average of men salaries is 34000, then we know the the total salaries of men.

Using total salaries of both men and women 30,000(10+2) - the total salaries of men 34,000(10),then we know the total salaries of women and then divide the numbers of women. we know the average of women's salaries. Why is this incorrect???? Pls help me to solve....
[Reveal] Spoiler: OA
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Re: Help me to explain this [#permalink] New post 30 Jun 2011, 21:07
You've plugged in a set of numbers to get one set of answers. What if the number of men and women is opposite of what you've assumed, in which case we'll get a different answer. To know a definitive answer for average, we need the total salary and the number of employees (i.e. c, d etc.). With the given information, we can't deduce about the average Salaries (or to be more precise, the relative values of average salaries, as the question asks) of men/women

I think plugging in numbers is effective mostly for eliminating answer choices, and not for arriving at an answer choice with absolute certainty.
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Re: Help me to explain this [#permalink] New post 30 Jun 2011, 21:14
Hi, Are you saying the we don't know the actual number of c and d so that we can't know the average of women salaries? Is this your answer?




subhashghosh wrote:
You've plugged in a set of numbers to get one set of answers. What if the number of men and women is opposite of what you've assumed, in which case we'll get a different answer. To know a definitive answer for average, we need the total salary and the number of employees (i.e. c, d etc.). With the given information, we can't deduce about the average Salaries (or to be more precise, the relative values of average salaries, as the question asks) of men/women

I think plugging in numbers is effective mostly for eliminating answer choices, and not for arriving at an answer choice with absolute certainty.
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Re: Help me to explain this [#permalink] New post 30 Jun 2011, 21:19
Nope, this is a weighed average problem, so we need to know at least the ratio of weights (or numbers) along with the individual values to calculate the weighed mean, or to know which side the mean is tilted towards.
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Re: Help me to explain this   [#permalink] 30 Jun 2011, 21:19
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Company Y employs c women and d men. Do the women at Company

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