If v and w are different integers, does v=0? (1) vw = v^2

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

10 Oct 2010, 09:36

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

(1) vw = v^2

(2) w = 2

[Reveal] Spoiler: OA

A.

I am confused that why OA is "A", in option A, we got v = w and both v and w are different integer. Please explain this point.

[Reveal] Spoiler: OA

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Re: DS - OG10 - 259 [#permalink]

10 Oct 2010, 09:44

zerotoinfinite2006 wrote:

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

(1) vw = v^2

(2) w = 2

From Statement 1, we have:

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

and for this equation to be true, one of the factors on the left side must be equal to zero, so either v = 0, or v = w. Since we know that v does *not* equal w, the only remaining possibility is that v = 0, and Statement 1 is sufficient. Since Statement 2 is clearly insufficient, the answer is A.
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Re: DS - OG10 - 259 [#permalink]

10 Oct 2010, 09:45

zerotoinfinite2006 wrote:

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

(1) vw = v^2

(2) w = 2

[Reveal] Spoiler: OA

A.

I am confused that why OA is "A", in option A, we got v = w and both v and w are different integer. Please explain this point.

(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.
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Manager

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Re: DS - OG10 - 259 [#permalink]

11 Oct 2010, 02:15

(1) vw = v^2

vw = v^2 possible only if v = w or v
v= 0
since v and w are 2 diff integers, definately its v = 0

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v = 0? [#permalink]

21 Mar 2012, 14:55

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

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

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Re: v = 0? [#permalink]

21 Mar 2012, 15:02

Bloody hell.. i got it wrong and then it dawned me.. Hate it when that happens

1)
OK so wv = v^2

thus wv -v^2 = 0
or v(w-v)=0

so v = 0 or v = w but we know that v doesnt equal w

thus sufficient

2) tells us nothing new insufficient

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Re: v = 0? [#permalink]

21 Mar 2012, 15:07

jj97cornell wrote:

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

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

Merging similar topics. Please ask if anything remains unclear.
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Re: v = 0? [#permalink] 21 Mar 2012, 15:07

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If v and w are different integers, does v=0? (1) vw = v^2

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If v and w are different integers, does v=0? (1) vw = v^2

If v and w are different integers, does v=0? (1) vw = v^2

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