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

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Manager
Joined: 01 Nov 2007
Posts: 90
If v and w are different integers, does v=0? (1) v*w=v^2 (2)  [#permalink]

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15 Mar 2008, 08:52
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If v and w are different integers, does v=0?

(1) v*w=v^2

(2) w=2

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Manager
Joined: 07 Jan 2008
Posts: 81

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15 Mar 2008, 09:04
1

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

therefore, v = 0 OR w = v

but w and v are different integers so v = 0.

(B) does not prove that v = 0. (v has two values 0 and 2).
Director
Joined: 14 Aug 2007
Posts: 640

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15 Mar 2008, 09:10
az780 wrote:
If v and w are different integers, does v=0?

(1) v*w=v^2

(2) w=2

A for me.
(1) for (1) to be true w must be equal to v, but w and v are "different" . if v=0 only then this condition becomes true. so sufficient

(2) is evidently useless
VP
Joined: 22 Oct 2006
Posts: 1385
Schools: Chicago Booth '11

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17 Mar 2008, 11:48
I think it is E

In A, cant V be 10 and W be 2 ?or V be 8 and W be 2 ? or V be 0 and W be 10?

combining doesnt help as we have W above.
VP
Joined: 22 Oct 2006
Posts: 1385
Schools: Chicago Booth '11

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17 Mar 2008, 11:49
EDIT: nevermind thought they were both powers, didnt see the multiplcation symbol
Manager
Joined: 28 Sep 2007
Posts: 184

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17 Mar 2008, 12:05
I will go for A. Ive tried to calculate all the possible ways for 1. You cannot tell anything about V from w=2.
Intern
Joined: 09 Dec 2007
Posts: 25
Location: China
WE: Investment Banking (Investment Banking)

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18 Mar 2008, 09:02
az780 wrote:
If v and w are different integers, does v=0?

(1) v*w=v^2

(2) w=2

going for A. Requesting OA.

I hate these types of questions to be honest but here's my work steps:

1) V*W=V^2 => this only occurs when V=0, since V and W are different integers based on the 2 min time limit I gave myself. =>Suff.

Answers between A&D now (Princeton Review Strat)

2) W=2 => doesn't help to solve wherever V=0, insuff.

Since stat 1 is already suff. don't need to go through C. therefore ANS = A

Also requesting someone that actually knows how to do this question to properly dissect it, explain it to dummies like me.

THANX A MILLION!
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Joined: 09 Sep 2013
Posts: 11399
Re: If v and w are different integers, does v=0? (1) v*w=v^2 (2)  [#permalink]

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24 Aug 2018, 20:49
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Re: If v and w are different integers, does v=0? (1) v*w=v^2 (2)   [#permalink] 24 Aug 2018, 20:49
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