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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 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 – x – y
(B) z – w – x – y
(C) z – w – x + y
(D) w + x + y – z
(E) w – x – y – z
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Re: Problem Solving - Help [#permalink] New post 26 Feb 2006, 11:00
(B) z – w – x – y
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 [#permalink] New post 26 Feb 2006, 17:54
# of students studying neither french nor german = z - (x-w + w + y-w) = z - (x+y-w) = z-x-y+w

Ans A
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 [#permalink] New post 26 Feb 2006, 23:41
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 :roll:
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 [#permalink] New post 26 Feb 2006, 23:53
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
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 [#permalink] New post 27 Feb 2006, 09:41
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 :roll:


my logic is wrong one and you all have correct one. i also go with A.
  [#permalink] 27 Feb 2006, 09:41
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