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On the number line (GMAT Prep 2)

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by alex.gellatly » Sat Jul 21, 2012 1:14 am
On the number line, the distance between x and y is greater than the distance between x and z. Does x lie between x and y on the number line?

1. xyz<0
2. xy<0
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Source: — Data Sufficiency |

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by Anurag@Gurome » Sat Jul 21, 2012 2:01 am
alex.gellatly wrote:On the number line, the distance between x and y is greater than the distance between x and z. Does x lie between x and y on the number line?

1. xyz<0
2. xy<0
It will be "Does z lie between x and y on the number line?"

Consider the following two cases,
  • x = 2, y = -1, z = 1 ---> YES
    x = 2, y = -1, z = 3 ---> NO
Both of the above cases satisfy both the statements but the answer is first case is YES and in the second is NO.

Hence, both statements together is also not sufficient.

The correct answer is E.
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by itairikovitch » Sun Oct 07, 2012 1:35 pm
Hi
I used the given statement, "the distance between x and y is greater than the distance between x and z", and concluded the ABS(Z) > ABS (Y). This conclusion limited the numbers I could pick.

Is it correct?
Tx
Itai
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