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# Each employee of company Z is an employee of either division

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Manager
Joined: 07 Oct 2005
Posts: 127
Location: Boston,MA
Each employee of company Z is an employee of either division  [#permalink]

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25 Dec 2007, 06:32
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Question Stats:

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Each employee of company Z is an employee of either division X or division Y, but not both. If each division has some part time employees, is the ratio of the numbe of full-time employees to the number of part time employee greater for Division X than for COmpany Z

1. The ratio of the number of full time employee to the number of part time employee is less for Division Y than for company Z

2. More than half of the full time employees of company Z are employees of division X, and more than half of the part time employees of company Z are employees of division Y

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Director
Joined: 12 Jul 2007
Posts: 843

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25 Dec 2007, 09:44
I'm thinking A. I'll explain if that's correct
Manager
Joined: 20 Dec 2004
Posts: 246

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25 Dec 2007, 10:42
I would say E. What is the OA ? This is a very good question.

Full Time employee in X = Fx
Full Time employee in Y = Fy

Part Time employee in X = Px
Part Time employee in Y = Py

Question =
Is (Fx+Fy)/(Px+Py) < (Fx/Px) ?

From 1) (Fy/Py) < (Fx +Fy)/(Px+Py)

From 2) Fx > Fy and Px < Py => that (Fy/Py) < (Fx/Px)

Using both (1) & (2) the condition can still not be established
Director
Joined: 12 Jul 2007
Posts: 843

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25 Dec 2007, 11:58
I see it as the ratio for the company being a weighted average of the two. If the ratio for Y is less than the average for the company, X must be higher than the company.
Manager
Joined: 20 Dec 2004
Posts: 246

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25 Dec 2007, 12:53

If Dept. X has 5 full-time & 10 part-time & Dept. Y has 10 full-time & 15 part-time

then ratio of Dept. X = 1/2, ration of Dept. Y = 2/3

And ratio of company Z must be = (1/2 + 2/3)/2 = 7/12.

But the actual ratio for the company in my opinion is 15/25 = 3/5. Which is not actual to the average of the two individual ratios.

Am I wrong ?
Director
Joined: 12 Jul 2007
Posts: 843

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25 Dec 2007, 19:02
even if it doesn't average out perfectly, the ratio for the company will fall between the ratios for the two departments.

take 1/2, 2/3 and 3/5

15/30 vs 18/30 vs 20/30

so if the average is 18/30 for the company, and we know one department is less (in this case, 15/30) then the other department should be more (in this case, 20/30)

maybe my logic is flawed, but that's how I see it. I'm also interested in seeing an OA
Manager
Joined: 07 Oct 2005
Posts: 127
Location: Boston,MA

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25 Dec 2007, 19:35
OA is D guys. A GMATPrep question
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Non-Human User
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Posts: 9457
Re: Each employee of company Z is an employee of either division  [#permalink]

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15 Dec 2017, 03:56
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This discussion does not meet community quality standards. It has been retired.

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Re: Each employee of company Z is an employee of either division &nbs [#permalink] 15 Dec 2017, 03:56
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