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# Distance between x and y is greater than distance between x

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Manager
Joined: 06 Oct 2010
Posts: 52
Distance between x and y is greater than distance between x  [#permalink]

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Updated on: 10 Jul 2018, 20:09
2
00:00

Difficulty:

(N/A)

Question Stats:

65% (01:20) correct 35% (01:21) wrong based on 92 sessions

### HideShow timer Statistics

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

(1) xyz < 0
(2) xy < 0

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/on-the-numbe ... 27014.html

Originally posted by skbjunior on 18 May 2011, 14:18.
Last edited by Bunuel on 10 Jul 2018, 20:09, edited 2 times in total.
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Joined: 20 Dec 2010
Posts: 1810
Re: Distance between x and y is greater than distance between x  [#permalink]

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18 May 2011, 14:58
1
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

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"
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Re: Distance between x and y is greater than distance between x  [#permalink]

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18 May 2011, 19:13
I think if you realize the spatial arrangement of x y z on the numberline then this is easy

1. 2 cases possible

x | z y where | is the zero. z is between x and y. The answer is YES

or

z x | y

z is NOT between x and y. The answer is NO

Insufficient

2. This is useless. Since there is no constraint on z. z may bet or may not between x and y. No need to evaluate. Hence insufficient

Combining 1) + 2) Insufficient

2 cases possible

x z | y

or

y | x z

Hence E.

PS : In almost all the questions with spatial arrangement of three points x y z, I have very few answers with C. Most of these DS questions are inconclusive. If you are short of time and have just 30 secs - ensure that C is not going to work and you are good.

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

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Re: Distance between x and y is greater than distance between x  [#permalink]

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18 May 2011, 20:52
a x,y,z all can be negative | x or y or z can be negative. Not sufficient.

b x|y negative giving nothing about Z.

a+b

x= -10 y = 10 , z = 1 Z is in between. yes
y= -10 x = 1, z=2 Z is outside. No.

Hence E.
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Re: Distance between x and y is greater than distance between x  [#permalink]

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19 May 2011, 04:36
(1)

z--------0---x----------------y

x--------0---z----------------y

Insufficient

(2)

x--------0---z----------------y

z-----x--------0-------------------y

Insufficient

(1) + (2)

From Diagram in (2)

Insufficient

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Manager
Joined: 02 Nov 2010
Posts: 82
Location: india
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Re: Distance between x and y is greater than distance between x  [#permalink]

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05 Jun 2011, 06:55
question states that d(x,y)>d(x,z) also from (1) and (2) we know that z is positive
(as xy<0=>z>0)
thus looking at above conditions we can say that z is between x and y
where am i going wrong
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Joined: 02 Sep 2009
Posts: 52210
Re: Distance between x and y is greater than distance between x  [#permalink]

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10 Jul 2018, 20:09
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?

(1) xyz < 0
(2) xy < 0

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/on-the-numbe ... 27014.html
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Re: Distance between x and y is greater than distance between x &nbs [#permalink] 10 Jul 2018, 20:09
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