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

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Manager
Joined: 02 Jun 2008
Posts: 79
Each employee of Company Z is an employee of either Division  [#permalink]

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31 Aug 2008, 11:58
00:00

Difficulty:

(N/A)

Question Stats:

25% (00:00) correct 75% (01:52) wrong based on 5 sessions

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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.

OPEN DISCUSSION OF THIS QUESTION IS HERE: each-employee-of-company-z-is-an-employee-of-either-division-54083-20.html

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Director
Joined: 23 Sep 2007
Posts: 725
Re: Each employee of Company Z is an employee of either Division  [#permalink]

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31 Aug 2008, 13:25
lionheart187 wrote:
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.

D

each statement tells you that division Y has a larger percentage of part time employees than the company as a whole.
Current Student
Joined: 11 May 2008
Posts: 543
Re: Each employee of Company Z is an employee of either Division  [#permalink]

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31 Aug 2008, 18:33
interesting problem... i guess this should be one of decent difficulty..

pls mention how long it took you people to solve this...
Manager
Joined: 02 Jun 2008
Posts: 79
Re: Each employee of Company Z is an employee of either Division  [#permalink]

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01 Sep 2008, 00:00
gmatnub wrote:
lionheart187 wrote:
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.

D

each statement tells you that division Y has a larger percentage of part time employees than the company as a whole.
Manager
Joined: 15 Nov 2007
Posts: 131
Re: Each employee of Company Z is an employee of either Division  [#permalink]

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01 Sep 2008, 00:45
I did it with real numbers. I'd like to see a pro step in here.
Manager
Joined: 15 Nov 2007
Posts: 131
Re: Each employee of Company Z is an employee of either Division  [#permalink]

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01 Sep 2008, 00:55
D

Overall: 100 employees in full time, 100 employees in part time

1:1

When you increase the number of part time applicants in the Y pool, you automatically decrease the number part time applicants in the X pool, thereby increasing the ratio of full time to part time in the x pool and decreasing the ratio of part time to full time in the x pool. The overall ratio remains "equal". This works with smaller/unequal quantities as well unless I've done it wrong.

Hope this helps.
SVP
Joined: 07 Nov 2007
Posts: 1622
Location: New York
Re: Each employee of Company Z is an employee of either Division  [#permalink]

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01 Sep 2008, 01:54
lionheart187 wrote:
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.

Question
is Fx/Px > (Fx+Fy)/(Px+Py)?

1) Fy/Py < (Fx+Fy)/(Px+Py)
--> means --> Py is more and Fy is less (because Py+Fy is constant)
When Py is more Px will be less and Fx will be more
so Fx/Px > (Fx+Fy)/(Px+Py)? Yes.
2) Py/(px+py)>1
same as above.
Yes.

D
_________________
Smiling wins more friends than frowning
Intern
Joined: 22 Jun 2010
Posts: 33
Re: Each employee of Company Z is an employee of either Division  [#permalink]

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12 Aug 2010, 13:49
I prepose this solution:

Let call Fx (full time devX)
Px (Part time devX)
st1

Fy/Py<Fz/Pz ===> since Px+Py=Pz (same think for F)

st1 ==> (Fz-Fx)/(Pz-Px)<Fz/Pz

==> FzPz - FxPz<FzPz-PxFz ==> cancell FzPz give the sol

ste 2

Fx>(1/2)FT
& devide them ==> give the solution
Px>(1/2)PT

Hope it i clear

Some body could tell as the rank of such a question ?
Math Expert
Joined: 02 Sep 2009
Posts: 55150
Re: Each employee of Company Z is an employee of either Division  [#permalink]

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14 Aug 2017, 03:12
lionheart187 wrote:
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.

OPEN DISCUSSION OF THIS QUESTION IS HERE: each-employee-of-company-z-is-an-employee-of-either-division-54083-20.html

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________
Re: Each employee of Company Z is an employee of either Division   [#permalink] 14 Aug 2017, 03:12
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