Is xy 0? (1) x^2 0 (2) xy^2 0

Question

Is xy > 0?

(1) x^2 > 0

(2) xy^2 > 0

bethebest · Answer

xy>0 means either x and y both are positive, or x and y both are negative.

Statement 1) x^2 >0, x could be positive or negative. Also nothing given about y. - not sufficient

Statement 2) xy^2 > 0 => x>0 and y^2 >0, Y could be positive or negative. not sufficient.

Both statements put together do not say anything about y. Therefore both statements are not sufficient to answer this.

Answer E

Please suggest if this is correct.

Skywalker18 · Answer

Is xy > 0?
=> x > 0 and y > 0 or x<0 and y<0

(1) x^2 > 0
Not sufficient
Square of any number will be > 0
(2) xy^2 > 0
=> x> 0 since y^2 >0
But we have can not infer whether y is positive or negative
Not sufficient

Combining 1 and 2 ,
Not sufficient
Answer E

ydmuley · Answer

Is xy > 0?

(1) x^2 > 0

Which means x can be POSITIVE or x can be NEGATIVE, also we do not know anything about y =====>  Hence (1) is Not Sufficient

(2) xy^2 > 0

Which means x is POSITIVE, however, this still does not tell us if y is positive or negative =====>  Hence (2) is Not Sufficient

Now lets combine (1) & (2)

We know that x is positive and still we are not aware of y is POSITIVE or NEGATIVE.

Hence, Answer is E

harikrish · Answer

Solution:

Statement 1: no iformation about y. and x can be +ve or -ve. Insufficient.
Statement 2: xy can be +ve or -ve. Example x =-3 and y=3 or =3 and y=3. Insufficient.

Combining,
We dont get any new information.
 Therefore it is E

amanvermagmat · Answer

Statement 1. x^2 > 0, it means x could be any number except 0.  Insufficient .

Statement 2. xy^2 > 0, it means x must be > 0, but we don't know anything about y.  Insufficient .

Combining the two statements: we get that x > 0, but we still don't know anything about y. So we can't say whether product of x and y will be > 0 or < 0.  Insufficient still .

Hence  E answer

Is xy > 0? (1) x^2 > 0 (2) xy^2 > 0

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