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

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Eternal Intern
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Of the z students at a certain college, x are studying [#permalink] New post 24 Jul 2003, 20:48
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100% (02:27) correct 0% (00:00) wrong based on 3 sessions
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.
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Re: PS: Formula for number of elements in an intersection [#permalink] New post 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
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Location: New York NY 10024
Schools: Haas, MFE; Anderson, MBA; USC, MSEE
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Re: PS: Formula for number of elements in an intersection [#permalink] New post 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.

Answer is A.
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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

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 [#permalink] New post 25 Jul 2003, 11:35
X+Y-W+Neihter= Z

Neither = -X-Y+Z+W

Answer is A
Intern
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Re: PS: Formula for number of elements in an intersection [#permalink] New post 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
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