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Each employee of Company Z is an employee of either Division

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Intern
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Each employee of Company Z is an employee of either Division [#permalink] New post 18 Oct 2006, 13:02
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A
B
C
D
E

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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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 [#permalink] New post 18 Oct 2006, 18:01
Intuitively, A.

B is not enough without the number of part-time employees as well.
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 [#permalink] New post 19 Oct 2006, 12:19
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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 [#permalink] New post 19 Oct 2006, 18:34
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, 21:02, edited 1 time in total.
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Re: DS - Ratios [#permalink] New post 20 Oct 2006, 11:24
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

the stem asks if
0.501f / 0.499p > f/p

0.501 /0.499 > 1

hence (0.501 /0.499) * (f/p) > f/p
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 [#permalink] New post 20 Oct 2006, 12:46
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
  [#permalink] 20 Oct 2006, 12:46
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