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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]

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30 Jun 2011, 18:10
1
1
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Difficulty:

55% (hard)

Question Stats:

66% (02:32) correct 34% (01:44) wrong based on 77 sessions

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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....
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Re: Help me to explain this  [#permalink]

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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]

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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]

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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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Company Y employs c women and d men. Do the women at Company  [#permalink]

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05 Mar 2016, 22:04
tracyyahoo wrote:
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....

Dear Experts Please Explain why Option A is incorrect

qstn Sum/c>25000?

from Statement 1) Company Y pays its employees a total of \$30,000(c + d) in salaries annually.

so company pays its employees a total of \$30,000(c) salaries anually for women

30,000c/c >25000

30,000>25000 Ans yes

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Re: Company Y employs c women and d men. Do the women at Company  [#permalink]

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18 Dec 2017, 11:07
i don't really think math is even needed in this question. you need to quickly see that this is a weighted averages question. so you need to know 2 things:
> "weights" of men and women
> "salaries" of men and women

you can tackle (2) immediately and say its insufficient in 2 seconds b/c it doesn't give any info on women. elim BD, only options ACE left.

on to (1), you have 2v1e. how does this help you answer any of the 2 points (laid out above)?

go to (3), you know men avg 34k and the total is 30k but you don't know how many men there are in relation to women.
- for ex, if it were a 50/50 split, then in order for the total to be 30k, you'd need women to avg 26k.
- if men were less than 50%, then you'd need to increase women's avg, will give you a diff #.

I don't think its worth it to plug in #s to be honest. If you can visualize and rationalize what I've laid out above, you can be in and out of this problem in like 30 seconds, 45 seconds tops.
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Re: Company Y employs c women and d men. Do the women at Company  [#permalink]

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18 Dec 2017, 11:42
Ask : Average earned by Female > 25K?

[1] : Total salary given by employer = 30,000(c + d) :
This can only give the average salary earned by the employees( no specific value for women's employee) - Hence NS

[2] : Average Salary given to Men = 34,000 : Not Sufficient

[1] + [2]
let's say women have an average salary of W : then equation we have is

30,000c + 30,000d = 34,000d + Wc
W = 30,000 - 4,000 d/ c : we do not know about any relation ship between number of men or women to find the ratio, so we cannot say if the average salary women earned is less than 26,000 or 25,000 :

Hence E
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Re: Company Y employs c women and d men. Do the women at Company   [#permalink] 18 Dec 2017, 11:42
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