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is there a way to do this problem in table/matrix format? In

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is there a way to do this problem in table/matrix format? In [#permalink] New post 05 Nov 2007, 08:00
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is there a way to do this problem in table/matrix format?

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 forty years old of less, 25 percent have master's degrees
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 [#permalink] New post 05 Nov 2007, 08:32
Let us consider there are 100 employees
50% are college graduate i.e 50 in our case.
and 60% are above 40, i.e 60 in our case.
Now out of 60 (above 40) 30% have masters degree, i.e 18

So 18% are above 40 and have masters degree.

1. It says that there are 100 employees that are college graduate.
So there are total 200 employees. 18% of 200 is 36. So there are 36 employees above 40 and with masters degree

2. Here only percent of employee at 40 and below is given. No value is provided. Hence is not sufficient.

Answer A

This can be done with the table format but will be more complicated.
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Re: DS, table? [#permalink] New post 05 Nov 2007, 09:34
young_gun wrote:
is there a way to do this problem in table/matrix format?

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 forty years old of less, 25 percent have master's degrees


it was easy to do this by using the table approach.

A.
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 [#permalink] New post 05 Nov 2007, 11:05
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50%*T=100
so total = 200

________under 40____over 40____total__

Grad______64_________36_______100__

non grad___16_________84_______100__

total______80_________120______200__
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Re: DS, table? [#permalink] New post 19 Jan 2008, 09:11
We dont need to do the double set matrix for this problem. it tests your knowledge of whether we can derive a hard number from the ratios (only if we are given another hard number or total)
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Re: DS, table? [#permalink] New post 19 Jan 2008, 11:38
young_gun wrote:
is there a way to do this problem in table/matrix format?

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 forty years old of less, 25 percent have master's degrees


50% have college degrees and 60% are 40+. 3/10*6/10 --> 18/100 have masters degrees and are over 40.

1: x/2=100 --> x=200 Suff thus answer is 36
2: No help here, we need an actual number.

A.
Re: DS, table?   [#permalink] 19 Jan 2008, 11:38
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