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

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Manager
Joined: 14 Dec 2005
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Of the z students at a certain college, x are studying [#permalink]  26 Feb 2006, 09:31
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 â€“ x â€“ y
(B) z â€“ w â€“ x â€“ y
(C) z â€“ w â€“ x + y
(D) w + x + y â€“ z
(E) w â€“ x â€“ y â€“ z
VP
Joined: 29 Dec 2005
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Re: Problem Solving - Help [#permalink]  26 Feb 2006, 11:00
(B) z â€“ w â€“ x â€“ y
GMAT Club Legend
Joined: 07 Jul 2004
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Location: Singapore
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# of students studying neither french nor german = z - (x-w + w + y-w) = z - (x+y-w) = z-x-y+w

Ans A
Manager
Joined: 24 Dec 2005
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Got A.

Professor, could you explain your logic? Not sure if we are missing something. Besides I can never trust myself with questions involving sets
VP
Joined: 20 Sep 2005
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A.

Number of students studying german and not french = y-w....(a)
Number of students not studying french = z-x...........(b)

Number of student no studying both = b - a = z-x-(y-w) = z+w-x-y
VP
Joined: 29 Dec 2005
Posts: 1349
Followers: 7

Kudos [?]: 30 [0], given: 0

Gordon wrote:
Got A.

Professor, could you explain your logic? Not sure if we are missing something. Besides I can never trust myself with questions involving sets

my logic is wrong one and you all have correct one. i also go with A.
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