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

[Radar]

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




Ans is A

[RonPurewal]

(1)
make sure you resist the temptation to divide both sides of this equation by v, because you aren't assured that v is nonzero. (in fact, the whole point of the problem is to determine whether that is the case!)
instead, you should move everything over to one side of the equation and factor:
vw - v^2 = 0
v(w - v) = 0
since w and v are not equal, we know that the value of (w - v) is not 0. since the product is 0, this means that the other part of the product (namely v) must be 0.
sufficient

(2)
this is clearly insufficient, since it provides no information about v.

answer = a

[arunchandar]

Recently I came across this problem.
I wonder why it is not E.

Consider, v=2 and w=-2
1) vw = v2

Hence v can be 2 or -2 or 0

Both the statements are insufficient...
Am i wrong some where. I am sure answers in OG will not be incorrect.
Can some one please explain.

Thanks!

[RonPurewal]

here's the problem.

first, you wrote:

Consider, v=2 and w=-2

and then you concluded:

Hence v can be 2 or -2 or 0

can't do this. once a variable has a value, it retains that value throughout the rest of the problem.
in other words, since v is assigned to be 2, v can't also be 0 or -2 at the same time.