GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 13 Oct 2019, 22:49

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Each student of the school Z is a member of either club X or club Y

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Director
Director
avatar
P
Joined: 31 Jul 2017
Posts: 512
Location: Malaysia
Schools: INSEAD Jan '19
GMAT 1: 700 Q50 V33
GPA: 3.95
WE: Consulting (Energy and Utilities)
Each student of the school Z is a member of either club X or club Y  [#permalink]

Show Tags

New post 20 Sep 2018, 22:20
3
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

31% (02:49) correct 69% (02:21) wrong based on 48 sessions

HideShow timer Statistics

Each student of the school Z is a member of either club X or club Y, but not both. If each club has some international students, is the ratio of the number of domestic students to the number of international students greater for club X than for school Z?

(1) The ratio of the number of domestic students to the number of international students is less for Class Y than school Z.

(2) More than half of the domestic students of school Z are members of club X and more than half of the international students of school Z are members of club Y.

_________________
If my Post helps you in Gaining Knowledge, Help me with KUDOS.. !!
Math Expert
avatar
V
Joined: 02 Aug 2009
Posts: 7952
Re: Each student of the school Z is a member of either club X or club Y  [#permalink]

Show Tags

New post 21 Sep 2018, 10:00
1
Each student of the school Z is a member of either club X or club Y, but not both. If each club has some international students, is the ratio of the number of domestic students to the number of international students greater for club X than for school Z?

Is \(\frac{D_x}{I_x}>\frac{D_z}{I_z}.............\frac{I_z}{I_x}>\frac{D_z}{D_x}..........\frac{I_y+I_x}{I_x}>\frac{D_x+D_y}{D_x}...........\frac{I_y}{I_x}>\frac{D_y}{D_x}..............\frac{D_x}{I_x}>\frac{D_y}{I_y}.\)

(1) The ratio of the number of domestic students to the number of international students is less for Class Y than school Z.
\(\frac{D_y}{I_y}<\frac{D_z}{I_z}\)..
\(\frac{D_y}{I_y}<\frac{D_z}{I_z}.............\frac{I_z}{I_y}<\frac{D_z}{D_y}..........\frac{I_y+I_x}{I_y}<\frac{D_x+D_y}{D_y}...........\frac{I_x}{I_y}<\frac{D_x}{D_y}..............\frac{D_x}{I_x}>\frac{D_y}{I_y}.\)
suff

(2) More than half of the domestic students of school Z are members of club X and more than half of the international students of school Z are members of club Y.
\(D_x>D_y\) and \(I_y>I_x\)
since all terms are positive, dividing bigger quantity \(D_x\) by a smaller number \(I_x\) will be greater than dividing smaller \(D_y\) by bigger \(I_y\)
so \(\frac{D_x}{I_x}>\frac{D_y}{I_y}\)
suff

D
_________________
Intern
Intern
avatar
B
Joined: 11 Jun 2015
Posts: 19
Location: Iran (Islamic Republic of)
Concentration: Accounting, Finance
WE: Education (Education)
GMAT ToolKit User
Re: Each student of the school Z is a member of either club X or club Y  [#permalink]

Show Tags

New post 24 Sep 2018, 06:54
2
The answer is D
Attachment:
9_24_18 17_14 Office Lens.jpg
9_24_18 17_14 Office Lens.jpg [ 335.44 KiB | Viewed 451 times ]
GMAT Club Bot
Re: Each student of the school Z is a member of either club X or club Y   [#permalink] 24 Sep 2018, 06:54
Display posts from previous: Sort by

Each student of the school Z is a member of either club X or club Y

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne