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either division X or division Y

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either division X or division Y

by sanju09 » Sat Mar 19, 2011 1:39 am
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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Source: — Data Sufficiency |
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by vineeshp » Sat Mar 19, 2011 6:08 am
OA D?

Either statement alone is sufficient.

Div X Div Y
--------------------------------
PT A B
--------------------------------
FT C D
--------------------------------

Question translates to

is C/A > (C+D)/(B+A)?

CB + CA > AC + AD

CB > AD?

1)
B/D < (A + C)/(B + D)
Can be solved to find the above equation.

Sufficient.

2)

If more than half of total are in one department, then that dept has more than the other department.
C > D
B > A

Again considering all are positive numbers, can multiple both equations to reach the intended question.

So Sufficient.

Both are sufficient.
Vineesh,
Just telling you what I know and think. I am not the expert. :)
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