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The numbers w,x,y and z are different integers. Is their sum

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GMAT Instructor
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The numbers w,x,y and z are different integers. Is their sum [#permalink] New post 09 Jul 2006, 01:26
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A
B
C
D
E

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The numbers w,x,y and z are different integers. Is their sum a multiple of 12?

(I) w,x,y and z are consecutive integers.
(II) z is a multiple of 24.
GMAT Instructor
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 [#permalink] New post 09 Jul 2006, 12:32
Has anybody combined (1) and (2)?
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 [#permalink] New post 09 Jul 2006, 16:57
We get (C) on combining.
Itwill never be a multiple of 12 in that case.

w = 24x
z = 24x - 1
y = 24x - 2
x = 24x - 3

Adding, 4*24x - 6
6 (16x - 1)

6 * some-odd-number

The above can never be a multiple of 12.. (C)
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 [#permalink] New post 09 Jul 2006, 18:22
I got C.

St1: Clearly INSUFF
St2: Clearly INSUFF

Combined: We have either 21,22,23,24 or 24,25,26,27. In both cases sum is NOT multiple of 12.: SUFF

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SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

  [#permalink] 09 Jul 2006, 18:22
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The numbers w,x,y and z are different integers. Is their sum

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