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poonam1279
- Master | Next Rank: 500 Posts
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This problem sounds more trickier than it actually is...
OK, you have a number line and X is the center since we're looking for XY and XZ.
we don't know if x,y,z are positive or negative.
stmt 1) xyz <0 or xyz = negative.
We know that either one or all of them have to be negative value for it to be true.
for example,
if x = 1, y = 6, z = -3
1(6)(-3) = negative, so true. we also know that z is opposite direction of Y, so it does not lie on it.
but if all of them are negative..
x=-1, y=-6, z=-3, then the multiplied value is still negative, yet xz lies on xy.
so statement 1 is insufficient.
stmt II
xy = negative..
same, if y is -6, x = 1, z = 3, then 1 from -6 (distance of xy) = 7, which is greater than 1 to 3 (dist of xz).
but z can be -3, which lies on xy. so again, insufficient for statement II.
Together.
xyz = negative, xy = negative.
Then we know that x or y is going to be negative.
If y was negative, statement would answer that z is going opposite direction. but if X was -1, then y and z is going same direction, therefore insufficient.
so answer is E
Draw a line to help you understand this.
z x y
or
x z y
this is what the stem is asking.
