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

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Director
Joined: 03 Sep 2006
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On the number line, the distance between point A and point C [#permalink]

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17 Jun 2007, 18:03
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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.
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Joined: 03 Aug 2006
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19 Jun 2007, 12:55
I think it should be D

If A = 1, C = 6. Since distance between B and C is 20 then B = 26 or B = -14

(i) Point C has to lie between A and B. Since distance between A and B = 25 it only satisfies when C is between as then B = 26. sufficient

(ii) Same if point A lies to the left of B. C would definitely end up between A and B sufficient

What's the OA?
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19 Jun 2007, 14:03
A

S1 is sufficient because there is only one scenario where A is 25 away from B. C has to be in the middle

S2 can give two scenarios. picture it here:

A----C---------------------------B (answer is yes here)

OR

C----A----------------------B (answer is no here)
19 Jun 2007, 14:03
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# On the number line, the distance between point A and point C

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