sud21 wrote:uv>0,is (u^2)(v^3)>0?
1). u>0
2). v<0

1) u>0
given uv>0 => either U,V both greater than 0 or both less than 0.
since U >0 , we have V >0. hence u^2.v^3 > 0. hence suff.

2) v<0
since v<0, u<0, hence u^2.v^3<0 for sure. hence suff.

[spoiler]IMO D?[/spoiler]

user123321

This will always depend on the sign of v

Statement 1: SUFFICIENT
Statement 2: SUFFICIENT

(D) is the answer

How can this be possible ? A DS question will have only one answer. For this sort a YES or a NO

With 1 we get a YES
With 2 we get a NO

Both are contradicting each other. It shouldn't be the case. Is the question right ? ?

I agree with Sam2304.

sud21

Can you please post the source of the question and the OA as well please ?

sam2304 wrote:How can this be possible ? A DS question will have only one answer. For this sort a YES or a NO

With 1 we get a YES
With 2 we get a NO

Both are contradicting each other. It shouldn't be the case. Is the question right ? ?

In this situation where two statements are seemed to contradict each other, we have to see the question first, that is, whose value between u and v is important in order to find out the answer.

Here, since uv>0, we can find that both u and v are either positive or negative. So, we are concerned with the value of v because u^2 will always be positive.

So St.1 although looks sufficient will not be the conclusive answer.

Therefore St.2 will give the answer which states that v<0, so we find out that the expression u^2v^3 is less than 0.

So the answer is B.