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on a number line, the distance between x and y is greater

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on a number line, the distance between x and y is greater [#permalink]  09 Jul 2007, 11:11
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on a number line, the distance between x and y is greater than the distance between x and z. Does z lie between x and y on the number line?

a. xyz <o
b. xy < 0

Senior Manager
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I see this as C. Will provide detailed explainations if it is right
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Re: gmatprep - DS question. [#permalink]  09 Jul 2007, 14:40
dmittal wrote:
on a number line, the distance between x and y is greater than the distance between x and z. Does z lie between x and y on the number line?

a. xyz <o
b. xy < 0

got E.

a: all three or any one of them could be -ve. nsf.
b: either one is +ve or -ve and Z too. nsf.

a+b: from a and b, now we know z is +ve. if so, x is also +ve because z is close to x and y is -ve. buy z could be any side of x.

suppose: if y = -5 and x = 4, z could be 3 or 5.

So E.
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Using St1:
xyz <0> either all three are negative or one is negative.
If all negative, could be y = -6, x = -1, z = -1/2, or y = -6, x = -1, z = -3
If one is negative, could be y = -1, x = 3, z = 4 or y = -1, x = 3, z = 2
Insufficient.

Using St2:
xy < 0 only tells us one of x or y is negative. nothing about z. Insufficient.

Using both, we know z must be positive. and either x or y must be negative. Could still be y = -1, x = 3, z = 4 or y = -1, x = 3, z = 2. Insufficient.

Ans E
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Re: gmatprep - DS question. [#permalink]  09 Jul 2007, 18:34
dmittal wrote:
on a number line, the distance between x and y is greater than the distance between x and z. Does z lie between x and y on the number line?

a. xyz <o
b. xy < 0

From the red part we know four cases:
(1)x<z<y; (2)y<z<x; (3)z<x<y; (4)y<x<z.

(a) (1), (2), (3), and (4) are all possible. insufficient;

(b) (1), (2), (3), and (4) are all possible. insufficient;

(a)+(b): 0<z;
(1) possible; x<0<z<y (comply)
(2) possible; y<0<z<y (comply)
(3) ruled out;
(4) possible: 0<y<x<z (uncomply)

Last edited by wudy on 09 Jul 2007, 18:42, edited 4 times in total.
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Re: gmatprep - DS question. [#permalink]  09 Jul 2007, 18:35
why some characters were lost?
Re: gmatprep - DS question.   [#permalink] 09 Jul 2007, 18:35
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