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In a certain office, 50 percent of the employees are college [#permalink]
11 Jul 2009, 10:06

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Difficulty:

35% (medium)

Question Stats:

75% (02:50) correct
25% (01:32) wrong based on 60 sessions

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

Re: In a certain office, 50 percent of the employees are college [#permalink]
12 Feb 2014, 06:34

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Expert's post

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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?

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.

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