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If v and w are different integers, does v = 0 ? (1) vw = v^2
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21 Aug 2011, 06:13
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If v and w are different integers, does v = 0 ? (1) vw = v^2 (2) w = 2 What should be the answer?
I feel it should be C. But it is not.
(1) vw = v^2 vw  v^2 = 0 v(wv) = 0 Either v = 0 or wv = 0 So we cannot say anything about v whether it's 0 or not.
2. w = 2
This statement tells us nothing about v.
Combining both If w= 2 then w = v so v should also be 2.
So that means v is not 0 by using both the statements.
So the answer should be C which is not.
Please guide. OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/ifvandwa ... 02599.html
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Re: If v and w are different integers, does v = 0 ? (1) vw = v^2
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21 Aug 2011, 06:17
I am sorry. I missed a very important point. Both are different integers.



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Re: If v and w are different integers, does v = 0 ? (1) vw = v^2
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21 Aug 2011, 10:10
samramandy wrote: I am sorry. I missed a very important point. Both are different integers. And that's the answer to your question. As you said, you have: v = 0 or wv=0 which is the same as w=v Since we are told that v and w are different, the second equation doesn't hold and we're left with the first one => v = 0 q.e.d



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Re: If v and w are different integers, does v = 0 ? (1) vw = v^2
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07 Sep 2011, 01:26
Quote: If v and w are different integers, does v = 0 ?
(1) vw = v^2 (2) w = 2 Statement 1vwv^2=0 v(wv)=0 > since v and w are different integers, (wv) cannot be zero. So, it has to be that v=0. Sufficient. Statement 2Not helpful. Insufficient. Answer: A
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Re: If v and w are different integers, does v = 0 ? (1) vw = v^2
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07 Sep 2011, 06:17
+1 for A;can anyone confrim



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Re: If v and w are different integers, does v = 0 ? (1) vw = v^2
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09 Oct 2011, 15:12
Hi,
For st 1, the question doesn't specify that it is only positive integers, so couldn't v=2 and w=2 and stmt 1 would be satisfied. This would not only make v=0 a possibility, but also 2, so then, wouldn't this be insufficient?



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Re: If v and w are different integers, does v = 0 ? (1) vw = v^2
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10 Oct 2011, 05:02
1) vw = v^2 vw  v^2 = 0 v(wv) = 0 Either v = 0 or wv = 0, Therefore v = o or v = w. 2) says nothg about v. insufficient. Since the question stem states v is not equal to w. V=o Sufficient



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Re: If v and w are different integers, does v = 0 ? (1) vw = v^2
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10 Oct 2011, 21:23
samramandy wrote: If v and w are different integers, does v = 0 ?
(1) vw = v^2 (2) w = 2
What should be the answer?
I feel it should be C. But it is not.
(1) vw = v^2 vw  v^2 = 0 v(wv) = 0 Either v = 0 or wv = 0 So we cannot say anything about v whether it's 0 or not.
2. w = 2
This statement tells us nothing about v.
Combining both If w= 2 then w = v so v should also be 2.
So that means v is not 0 by using both the statements.
So the answer should be C which is not.
Please guide. Using statement A : either v=0 or W=V .but since both are diffrent integers...W should not be equal to V.Hence V=0. The answer should be A.
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Re: If v and w are different integers, does v = 0 ? (1) vw = v^2
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26 Nov 2017, 22:52
samramandy wrote: If v and w are different integers, does v = 0 ?
(1) vw = v^2 (2) w = 2
What should be the answer?
I feel it should be C. But it is not.
(1) vw = v^2 vw  v^2 = 0 v(wv) = 0 Either v = 0 or wv = 0 So we cannot say anything about v whether it's 0 or not.
2. w = 2
This statement tells us nothing about v.
Combining both If w= 2 then w = v so v should also be 2.
So that means v is not 0 by using both the statements.
So the answer should be C which is not.
Please guide. If v and w are different integers, does v=0?(1) \(vw = v^2\) > \(vwv^2=0\) > \(v(wv)=0\): 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: https://gmatclub.com/forum/ifvandwa ... 02599.html
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Re: If v and w are different integers, does v = 0 ? (1) vw = v^2 &nbs
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26 Nov 2017, 22:52






