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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]

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New post 14 Jul 2007, 16:28
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Question Stats:

57% (01:41) correct 43% (00:38) wrong based on 127 sessions

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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, 08:37, edited 1 time in total.
Added the OA
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Re: DS: Numbers [#permalink]

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New post 14 Jul 2007, 16:39
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.
(2) Know nothing about v.
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 [#permalink]

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New post 14 Jul 2007, 23:20
Since VW = V^2 and V , W are differenet integers V has to be O

My answer is A
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 [#permalink]

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New post 15 Jul 2007, 06:35
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.

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

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New post 02 Jul 2013, 07:10
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

No information about v insufficient

Answer is A
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Re: If v and w are different integers, does v = 0? [#permalink]

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New post 02 Jul 2013, 08:39
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.

Answer: A.

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, 08:39
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