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

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Manager
Joined: 25 Sep 2006
Posts: 151
Followers: 1

Kudos [?]: 6 [0], given: 0

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

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03 Dec 2006, 21:22
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If v and w are diff integers, does v = 0 ?

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

OA
.
.
.

.
.
.

I picked E, why the answer is A ? I got no idea
VP
Joined: 28 Mar 2006
Posts: 1372
Followers: 2

Kudos [?]: 33 [0], given: 0

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03 Dec 2006, 21:36
Viperace wrote:
If v and w are diff integers, does v = 0 ?

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

OA
.
.
.

.
.
.

I picked E, why the answer is A ? I got no idea

From I

vw = v^2

v(w-v) = 0

Since w and v are diff integers v!=w

So v=0 and hence A
Manager
Joined: 25 Sep 2006
Posts: 151
Followers: 1

Kudos [?]: 6 [0], given: 0

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03 Dec 2006, 22:07
I still don't get it.

The way I see this equation
v(w-v) = 0

is that there are TWO conditions that satisfy this equation.

v = 0 OR v = w

Either one is sufficient, which conditions is the one? we don't know, so we can't be sure the v = 0. This ambiguity is the same as

4^(0.5) can be +2 or -2.
SVP
Joined: 05 Jul 2006
Posts: 1747
Followers: 6

Kudos [?]: 358 [0], given: 49

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04 Dec 2006, 06:06
If v and w are diff integers, does v = 0 ?

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

from one

v^2 - vw = zero

v(v-w) = zero thus either v = zero or v=w

from stem v not = w thus v = 0

from two

clearly insuff

04 Dec 2006, 06:06
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