skbjunior wrote:

Distance between x and y is greater than distance between x and z. Does z lie between x and y on the number line?

a. xyz < 0

b. xy < 0

Please provide explanation for your answer. Thank you!

1.

xyz < 0

Either only one of {x, y, z} is -ve or all three are negative.

Let me consider former(one -ve):

y=-1, z=0.9, x=1; |x-y|>|x-z|, z in between

OR

y=-1, z=1.1, x=1; ; |x-y|>|x-z|, z not in between

Not Sufficient.

2. xy < 0

Only one of x and y is -ve. No information about z. Not Sufficient.

Both the cases discussed in St1 above hold good.

Combining both;

Both the cases discussed above hold good.

Ans: "E"

_________________

~fluke

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