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# Each employee of Company Z is an employee of either Division

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Intern
Joined: 23 Aug 2006
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Each employee of Company Z is an employee of either Division [#permalink]

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18 Oct 2006, 14:02
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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 number of full-time employees to the number of part-time employees greater for Division X than for Company Z?

(1) The ratio of the number of full-time employees to the number of part-time employees 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: 23 Jun 2005
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GMAT 1: 740 Q48 V42

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18 Oct 2006, 19:01
Intuitively, A.

B is not enough without the number of part-time employees as well.

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Intern
Joined: 25 Sep 2006
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19 Oct 2006, 13:19
D

statement 2 holds

for dept X, since the nr. gets the larger proportional share of the total figure and the dr. gets the smaller proportional share , the ratio should be a larger value than the companywide ratio

also worked out the 3 diff scenarios at company level and they all seem to hold,
full time = part time,
full time > part time,
full time < part time,

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Manager
Joined: 07 Jun 2006
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19 Oct 2006, 19:34
My inital inclination was towards D.

However, as Anand pointed out, without the numbers..its tuf 2 conclude.

If the number of Employees in X is huge and that in Y is negligible then the number of Employees in X is indicative of the total number in the Company Z.
Otherwise, it may yield different results.

So , A I think.

Last edited by girikorat on 20 Oct 2006, 22:02, edited 1 time in total.

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Intern
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20 Oct 2006, 12:24
Cedars wrote:
.. is the ratio of the number of full-time employees to the number of part-time employees greater for Division X 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

writing the equation might help to come up with general solution ( assumign the equation is correct:-)

...............Dept X.....Dept Y.....Company Z
full time... 0.501f.....0.499f...... f
part time..0.499p....0.501p..... p

0.501f / 0.499p > f/p

0.501 /0.499 > 1

hence (0.501 /0.499) * (f/p) > f/p

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Retired Moderator
Joined: 05 Jul 2006
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20 Oct 2006, 13:46
Well i believe that each is enough intuitevly but i am sure there is some concept that i have no idea about , may be kevincan or ciceron can help us with this one ..

it is a part whole realtionship that i cant figure out

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20 Oct 2006, 13:46
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