Of the z students at a certain college, x are studying : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 28 Feb 2017, 05:34

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Of the z students at a certain college, x are studying

Author Message
TAGS:

### Hide Tags

Eternal Intern
Joined: 07 Jun 2003
Posts: 467
Location: Lone Star State
Followers: 1

Kudos [?]: 145 [0], given: 0

Of the z students at a certain college, x are studying [#permalink]

### Show Tags

24 Jul 2003, 20:48
00:00

Difficulty:

(N/A)

Question Stats:

100% (01:43) correct 0% (00:00) wrong based on 9 sessions

### HideShow timer Statistics

Of the z students at a certain college, x are studying French and y are studying German. If w are studying both French and German, which of the following expresses the number of students at the college not studying either French or German ?
(A) z + w тАУ x тАУ y
(B) z тАУ w тАУ x тАУ y
(C) z тАУ w тАУ x + y
(D) w + x + y тАУ z
(E) w тАУ x тАУ y тАУ z

I think X - Studying French represents only and both and Y- respectively for German as well.
Manager
Joined: 24 Jun 2003
Posts: 146
Location: India
Followers: 2

Kudos [?]: 2 [0], given: 0

Re: PS: Formula for number of elements in an intersection [#permalink]

### Show Tags

24 Jul 2003, 22:10
Curly05 wrote:
Of the z students at a certain college, x are studying French and y are studying German. If w are studying both French and German, which of the following expresses the number of students at the college not studying either French or German ?
(A) z + w тАУ x тАУ y
(B) z тАУ w тАУ x тАУ y
(C) z тАУ w тАУ x + y
(D) w + x + y тАУ z
(E) w тАУ x тАУ y тАУ z

I think X - Studying French represents only and both and Y- respectively for German as well.

If we assume that x implies students studying only french and y implies only german, then the answer is B
GMAT Instructor
Joined: 07 Jul 2003
Posts: 770
Location: New York NY 10024
Schools: Haas, MFE; Anderson, MBA; USC, MSEE
Followers: 25

Kudos [?]: 207 [0], given: 0

Re: PS: Formula for number of elements in an intersection [#permalink]

### Show Tags

24 Jul 2003, 22:45
prashant wrote:
Curly05 wrote:
Of the z students at a certain college, x are studying French and y are studying German. If w are studying both French and German, which of the following expresses the number of students at the college not studying either French or German ?
(A) z + w тАУ x тАУ y
(B) z тАУ w тАУ x тАУ y
(C) z тАУ w тАУ x + y
(D) w + x + y тАУ z
(E) w тАУ x тАУ y тАУ z

I think X - Studying French represents only and both and Y- respectively for German as well.

If we assume that x implies students studying only french and y implies only german, then the answer is B

Let q = number of student taking neither F or G.
(x + y) - w = number of students taking at least one language = z - q
=> q = z + w - x - y.

_________________

Best,

AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

Manager
Joined: 03 Jun 2003
Posts: 84
Location: Uruguay
Followers: 1

Kudos [?]: 0 [0], given: 0

### Show Tags

25 Jul 2003, 11:35
X+Y-W+Neihter= Z

Neither = -X-Y+Z+W

Intern
Joined: 28 Jun 2011
Posts: 7
Followers: 0

Kudos [?]: 1 [0], given: 2

Re: PS: Formula for number of elements in an intersection [#permalink]

### Show Tags

17 Aug 2011, 17:16
Using numbers will be easy:

total students:12 (z)
French:4 (x)
German:3 (y)
Both:3 (w)
Therefore, 12+3-4-3 = 9 not studying neither german nor french
Re: PS: Formula for number of elements in an intersection   [#permalink] 17 Aug 2011, 17:16
Similar topics Replies Last post
Similar
Topics:
6 Three hundred students at College Q study a foreign language. Of these 6 27 Dec 2015, 08:56
2 At a certain college, 50 percent of the total number of students are 3 23 Nov 2015, 11:50
Of the z students at a certain college, x are studying French and y 4 20 Nov 2015, 00:30
7 A certain college party is attended by both male and female students. 7 08 May 2015, 05:04
4 A certain college has a student-to-teacher ratio of 11 to 1. 13 27 Jan 2008, 09:39
Display posts from previous: Sort by