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If v and w are different integers, does v = 0?

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Director
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If v and w are different integers, does v = 0? [#permalink]  14 Jul 2007, 15:28
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35% (medium)

Question Stats:

51% (01:38) correct 49% (00:38) wrong based on 102 sessions
If v and w are different integers, does v = 0?

(1) vw = v^2
(2) w = 2

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-v-and-w-are-different-integers-does-v-0-1-vw-v-102599.html
[Reveal] Spoiler: OA

Last edited by Bunuel on 02 Jul 2013, 07:37, edited 1 time in total.
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VP
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Re: DS: Numbers [#permalink]  14 Jul 2007, 15:39
jimmyjamesdonkey wrote:
If v and w are different integers, does v = 0?

(1) vw = v^2
(2) w = 2

OA to follow.

I got A.

(1) Since v & w are different integers, the only possible solution here is V=0.
Manager
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Kudos [?]: 7 [0], given: 0

Since VW = V^2 and V , W are differenet integers V has to be O

Manager
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I believe we should get the equation to a simplied form
vw-v^2=0 ; v(w-v) => v=w or v=0

and by the looks of it we have two answers! either v=2 or 0.

Since both are different we have v=0.

FP
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Re: If v and w are different integers, does v = 0? (1) vw = v^2 [#permalink]  02 Jul 2013, 06:10
If v and w are different integers, does v = 0?

Given info V and W are different integers so it can't be equal so (1,1) , (2,2) etc are ruled out

$$(1) vw = v^2$$

$$v^2 - vw = v(v-w) = 0$$

Since v and w are different integers v must be 0 sufficient!

(2) w = 2

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Re: If v and w are different integers, does v = 0? [#permalink]  02 Jul 2013, 07:39
Expert's post
If v and w are different integers, does v = 0?

(1) $$vw = v^2$$ --> $$vw-v^2=0$$ --> $$v(w-v)=0$$: either $$v=0$$ or $$v=w$$, but as we are told that $$v$$ and $$w$$ are different integers then this case is out, so $$v=0$$. Sufficient.

(2) $$w = 2$$. Clearly not sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-v-and-w-are-different-integers-does-v-0-1-vw-v-102599.html [/quote]
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Re: If v and w are different integers, does v = 0?   [#permalink] 02 Jul 2013, 07:39
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