Is x = y ? (1) xy ≠ 0 (2) xy

Question

Is x = y ?

(1) xy ≠ 0
(2) xy < 0

stonecold · Answer

Here is my solution to this one -->
We need to check if x=y or not.

Statement 1-->
 xy≠0
E.g = x=y=2
x=2,y=3

Not sufficient

Statement 2
 xy<0
Hence x and y must be of opposite signs.
Hence x can never be equal to y.
 
Hence B

KSBGC · Answer

we are asked to check whether x=y or not.

statement 1: xy can not be zero. None of x or y is zero. but it won't help us to derive to our goal.
Statement 2: xy<0. It means that either x or y is positive or negative. Thus, x and y will never ever be equal. 
Example: x=-4 and y=4
 x*y = -16 which is less than 0. but x and y are not equal as they have different signs.

Thus, the correct answer is B.

Bakshi · Answer

Statement 1: 
xy≠0 
x=1 y=2; NO
x=1 y=1; YES
Therefore INSUFFICIENT

Statement2:
xy<0
x=1 y=-2;
x=-1 y=2
Note that for xy<0 x & y must have opposite signs therefore x ≠ y 
SUFFICIENT

Ans (B)

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Is x = y ? (1) xy ≠ 0 (2) xy < 0

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