ratio DS

Question

got this question in a practice test. any idea? DS Quest.GIF

cipher · Answer

IMO B, Lets assume the no. of full time employees in division X - > X Part time employees in division X -> Px Full time employees in division Y - > Y Part time employees in division Y - Py Ratio of full time employees and part time employees = X/ Px and Y/ Py St 1. Says Y/Py < X+Y/ (Px +Py) Insuff as noting is specified about division X ratio. St 2: Says X> Y and Px< Py ( As more than half of the company Z employees are mentioned ) Hence Ratio X/Px > Y/Py . Suff Please post OA

madeinafrica · Answer

hummm
the question is not about X/Px and Y/Py, but to compare X/Px and (X+Y)/(Px+Py)

question: "is the ratio greater for division X  than for company Z  ?"

cipher · Answer

Oh yes, I missed that , my bad

. In this case I think it should be E, as even we combine both the statements we still don't have any relation between X/Px and X+Y/ Px + Py. Whats the OA ?

madeinafrica · Answer

OA is D..

Edited.....

AshForGMAT · Answer

I would have thought D .....

Since in the first case considering that there are only 2 divisions in the company if the ratio of full to Part time is less in Y than the company average then since the only other division is Div X ; Div X should improve the ratio for the company and hence make it above Div Y....and for that to happen it has to be greater than the Company's ratio since the Div Y is anyways bringing the avg down.... but good question ....

cipher · Answer

I actually thought about it and I think OA is right here.

Lets consider 3 cases; 
1. Full time employees are more than part time ( say X+Y = 100 and Px + Py= 60)
2. Full time employees are less than part time ( X + Y = 60 and Px + Py = 100)
3. When both are equal ( X+y = 100 and Px + Py=100)

In 1st case lets assume X = 51 and Y=49 and Px = 29 and Py=31 
then X/Px= 51/31 and X+Y/Px+Py= 100/60 
X/Px > X+Y/(Px+Py)

2. X = 31 and Y=29 and Px = 49 and Py=51
X/Px= 31/49 and X+Y/Px+Py= 60/100
Here also X/Px > X+Y/(Px+Py)

3. X= 51 and Y =49 and Px= 49 and Py=51

X/Px= 51/49 and X+Y/Px+Py= 100/100=1
Here also X/Px > X+Y/(Px+Py)

In all the cases X/Px > X+Y/(Px+Py)

cipher · Answer

Are u sure the OA is B ? I saw the same question in some other post and acc to that the OA is D. See the attached...

madeinafrica · Answer

Oh.....

maybe I misscopied when I took my test.

I just wrote down the answers on my notes, and wrote B for this one.
Thank you for correcting. (I'll updade my post for the answer)

I cannot see how 1) could be sufficient !!!

cipher · Answer

I agree, I guess we are missing some concept here

MICKEYXITIN · Answer

D it is <img src="{SMILIES_PATH}/icon_smile.gif" alt=":)" title="Smile" />

subhashghosh · Answer

This has been discussed elsewhere. Please check here : ratios-111039.html#p894316

ratio DS

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards