Each employee of company Z is an employee of either Division X or 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 Y?
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
1) A alone
2) B alone
3) Both
4) Either
5) Neither
Proportions - Can someone help me find a solution
This topic has expert replies
GMAT/MBA Expert
- Anurag@Gurome
- GMAT Instructor
- Posts: 3835
- Joined: Fri Apr 02, 2010 10:00 pm
- Location: Milpitas, CA
- Thanked: 1854 times
- Followed by:523 members
- GMAT Score:770
geet_ge wrote:Each employee of company Z is an employee of either Division X or 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 Y?
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
1) A alone
2) B alone
3) Both
4) Either
5) Neither
Let us assume number of full-time employees for division X = Xf
Number of part-time employees for division X = Xp
Number of full-time employees for division Y = Yf
Number of part-time employees for division Y = Yp
Then question is: Is Xf/Xp > (Xf + Yf)/(Xp + Yp)? or is XfXp + XfYp > XpXf + XpYf? or is XfYp > XpYf?
(1) (Xf + Yf)/(Xp + Yp) > Yf/Yp
XfYp + YfYp > XpYf + YpYf
XfYp > XpYf, which answers the required question; SUFFICIENT.
(2) (Xf + Yf)/2 < Xf and (Xp + Yp)/2 < Yp
Yf < Xf and Xp < Yp, which implies XpYf < XfYp, which again answers the required question; SUFFICIENT.
The correct answer is D.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/