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# On the number line, the distance between point A and point C

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Senior Manager
Joined: 23 May 2005
Posts: 266
Location: Sing/ HK
On the number line, the distance between point A and point C [#permalink]

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20 Oct 2006, 01:54
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

On the number line, the distance between point A and point C is 5 and the distance between point B and point C is 20. Does point C lie between point A and point B?

(1) The distance between point A and point B is 25

(2) Point A lies to the left of point B

OA is A. But i think (2) is also sufficient on its own. If point A is to the left of point B, then C has to be in between bec of the given distances in the question stem. Can anyone explain why (2) is not sufficient?
VP
Joined: 15 Jun 2006
Posts: 1124
Schools: Chicago Booth

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20 Oct 2006, 04:03
In (2) A could lie both to the left of B & C (AB then = 25) and to the right of C and to the left of B (AB then = 15)

therefore (2) is not suff
Senior Manager
Joined: 13 Sep 2006
Posts: 279
Location: New York

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20 Oct 2006, 09:07
helg wrote:
In (2) A could lie both to the left of B & C (AB then = 25) and to the right of C and to the left of B (AB then = 15)

therefore (2) is not suff

Exactly. Try drawing a number line as per helg's comments and you will see this should be A.
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20 Oct 2006, 09:07
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