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

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Of the z students at a certain college, x are studying [#permalink] New post 09 Feb 2006, 06:20
00:00
A
B
C
D
E

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Question Stats:

79% (01:58) correct 21% (01:18) wrong based on 66 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- x- y
(B) z - w- x- y
(C) z- w - x + y
(D) w + x + y- z
(E) w - x - y - z
[Reveal] Spoiler: OA

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Last edited by Bunuel on 06 Oct 2013, 08:00, edited 1 time in total.
Edited the question and added the OA.
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 [#permalink] New post 09 Feb 2006, 06:36
Should be A....

Group+Group+Neither-Both=Total

x+y+(unknown)-w=z
(unknown)=z+w-x-y
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 [#permalink] New post 09 Feb 2006, 06:56
Hard to answer b/c there are no parenthesis in the answer choices. Looks to as they are written, none of the answer choices are correct. I would say that the answer should be :
z-(w-(x+y))
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 [#permalink] New post 10 Feb 2006, 12:26
A
only french X-w
only german Y-w
French and german x-w+y-w+w ...... 1
Not studying French and Germand Z-(1)
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Re: Of the z students at a certain college, x are studying [#permalink] New post 06 Oct 2013, 05:50
Yurik79 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- x- y
(B) z - w- x- y
(C) z- w - x + y
(D) w + x + y- z
(E) w - x - y - z


OA please? I got A.
Used smart numbers but not sure if it is the best approach here
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Re: Of the z students at a certain college, x are studying [#permalink] New post 06 Oct 2013, 08:01
Expert's post
jlgdr wrote:
Yurik79 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- x- y
(B) z - w- x- y
(C) z- w - x + y
(D) w + x + y- z
(E) w - x - y - z


OA please? I got A.
Used smart numbers but not sure if it is the best approach here


{Total} = {French} + {German} - {Both} + {Neither}

z = x + y - w + {Neither}

{Neither} = z + w - x - y.

Answer: A.
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Re: [#permalink] New post 07 Oct 2013, 22:41
kook44 wrote:
Hard to answer b/c there are no parenthesis in the answer choices. Looks to as they are written, none of the answer choices are correct. I would say that the answer should be :
z-(w-(x+y))

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Re:   [#permalink] 07 Oct 2013, 22:41
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