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In a certain office, 50 percent of the employees are college [#permalink]

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11 Jul 2009, 10:06

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In a certain office, 50 percent of the employees are college graduates and 60 percent of the employees are over 40 years old. If 30 percent of those over 40 have master's degrees, how many of the employees over 40 have master's degrees?

(1) Exactly 100 of the employees are college graduates. (2) Of the employees 40 years old or less, 25 percent have master's degrees.

Here any statement that gives you total number of people in absolute values is sufficient.

50% - grads 60% - >40 age

30% of 60% are graduates ie 18% are graduates and above 40 years of age

Now if you get the number for any of these percentages, you can find out the 18% figure.

statement 1 gives one such figure: 50% graduates = 100 people......sufficient (you know 50%, you can find 18%) stmt 2 gives you another percentage figure, but no absolute figure.....insufficient

It is easier to solve this problem if we do a matrix. But any way, it is clear that only (1) gives a quantitive amount where (2) gives just percentage.

Hence only (1) is sufficient to answer and not (2) A

In a certain office, 50 percent of the employees are college graduates and 60 percent of the employees are over 40 years old. If 30 percent of those over 40 have master's degrees, how many of the employees over 40 have master's degrees?

Let x be the number of employees in that office. Given that: 0.5x = college graduates; 0.6x = employees over 40; 0.3*0.6x = employees over 40 with master's degrees.

(1) Exactly 100 of the employees are college graduates --> 0.5x=100. We can find the value of x, thus we can determine the value of 0.3*0.6x. Sufficient.

(2) Of the employees 40 years old or less, 25 percent have master's degrees. We have no information about the number of employees in any group, only percentages. Not sufficient.

Re: In a certain office, 50 percent of the employees are college [#permalink]

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07 Nov 2015, 02:56

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Re: In a certain office, 50 percent of the employees are college [#permalink]

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13 Dec 2016, 18:57

Bunuel wrote:

In a certain office, 50 percent of the employees are college graduates and 60 percent of the employees are over 40 years old. If 30 percent of those over 40 have master's degrees, how many of the employees over 40 have master's degrees?

Let x be the number of employees in that office. Given that: 0.5x = college graduates; 0.6x = employees over 40; 0.3*0.6x = employees over 40 with master's degrees.

(1) Exactly 100 of the employees are college graduates --> 0.5x=100. We can find the value of x, thus we can determine the value of 0.3*0.6x. Sufficient.

(2) Of the employees 40 years old or less, 25 percent have master's degrees. We have no information about the number of employees in any group, only percentages. Not sufficient.

Bunuel, I have a question. The stem talks about college graduates and then later mentions master's degree. Initially I was a bit concerned about if it is a three set problem -- college graduates - masters and non masters with age. How can we safely assume that college graduates means only those with masters? That makes the problem simpler ofcourse. Any thoughts?

Re: In a certain office, 50 percent of the employees are college [#permalink]

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13 Dec 2016, 22:34

ajdse22 wrote:

Bunuel wrote:

In a certain office, 50 percent of the employees are college graduates and 60 percent of the employees are over 40 years old. If 30 percent of those over 40 have master's degrees, how many of the employees over 40 have master's degrees?

Let x be the number of employees in that office. Given that: 0.5x = college graduates; 0.6x = employees over 40; 0.3*0.6x = employees over 40 with master's degrees.

(1) Exactly 100 of the employees are college graduates --> 0.5x=100. We can find the value of x, thus we can determine the value of 0.3*0.6x. Sufficient.

(2) Of the employees 40 years old or less, 25 percent have master's degrees. We have no information about the number of employees in any group, only percentages. Not sufficient.

Bunuel, I have a question. The stem talks about college graduates and then later mentions master's degree. Initially I was a bit concerned about if it is a three set problem -- college graduates - masters and non-masters with age. How can we safely assume that college graduates means only those with masters? That makes the problem simpler ofcourse. Any thoughts?

It is less likely that a question contains two different sets with the name college graduate and having master's degree. A person with master's degree can be said to be a college graduate however, a college graduate does not necessarily mean that the person has master's degree . In the given question, college graduate term is used only in the first statement and later, it is referred by the term master's degree. Moreover, no further data is provided on college graduate, so it is safe to assume that they are indeed the same set.

In a certain office, 50 percent of the employees are college graduates and 60 percent of the employees are over 40 years old. If 30 percent of those over 40 have master's degrees, how many of the employees over 40 have master's degrees?

Let x be the number of employees in that office. Given that: 0.5x = college graduates; 0.6x = employees over 40; 0.3*0.6x = employees over 40 with master's degrees.

(1) Exactly 100 of the employees are college graduates --> 0.5x=100. We can find the value of x, thus we can determine the value of 0.3*0.6x. Sufficient.

(2) Of the employees 40 years old or less, 25 percent have master's degrees. We have no information about the number of employees in any group, only percentages. Not sufficient.

Bunuel, I have a question. The stem talks about college graduates and then later mentions master's degree. Initially I was a bit concerned about if it is a three set problem -- college graduates - masters and non masters with age. How can we safely assume that college graduates means only those with masters? That makes the problem simpler ofcourse. Any thoughts?

College graduates and those who have a master degree are not the same group.

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