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# consecutive integers

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Manager
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02 Jun 2009, 06:58
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x is the sum of y consecutive integers. w is the sum of z consecutive integers. If y = 2z, and y and z are both positive integers, then each of the following could be true EXCEPT
* x = w
* x > w
* x/y is an integer
* w/z is an integer
* x/z is an integer
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Senior Manager
Joined: 16 Jan 2009
Posts: 359
Concentration: Technology, Marketing
GMAT 1: 700 Q50 V34
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WE: Sales (Telecommunications)
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03 Jun 2009, 11:58
y = 2z.
y and z are both positive integers

so for any value of z (1 being the min.)
x can never be equal to w.

IMO A
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Lahoosaher

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03 Jun 2009, 21:16
amolsk11 wrote:
y = 2z.
y and z are both positive integers

so for any value of z (1 being the min.)
x can never be equal to w.

IMO A

The question doesn't state consecutive integers are positive. It only tells y and z are positive.

Say y = 3, than z = 6

And y be set of 3 consecutive integers (0, 1, 2) and its sum = 3 = x
Let z be set of 6 consecutive integers (-2, -1, 0, 1, 2, 3) and its sum = 3 = w

Which says x = z.

I think only one which couldn't be true is E, x/z.
Re: consecutive integers   [#permalink] 03 Jun 2009, 21:16
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