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

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Manager
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On the number line, the distance between point A and point C [#permalink]  15 Jun 2008, 18:25
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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 A and B?

1) The distance between point A and point B is 25
2) Point A liest to the left of Point B.
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Re: Number Line - DS [#permalink]  15 Jun 2008, 18:39
gmat blows wrote:
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 A and B?

1) The distance between point A and point B is 25
2) Point A liest to the left of Point B.

A.

given that AC=5, BC=20 and AC=25 , C should be in between AB

2 alone is not suff
Manager
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Re: Number Line - DS [#permalink]  16 Jun 2008, 00:45
isn´t it true that we need both?
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Re: Number Line - DS [#permalink]  16 Jun 2008, 11:12
Expert's post
A

for first condition we have two possibilities, but for both possibilities C lies between A and B

--B-------------------C---A--
--A---C-------------------B--

It is DS C-trap...
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Manager
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Re: Number Line - DS [#permalink]  16 Jun 2008, 11:43
gmat blows wrote:
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 A and B?

1) The distance between point A and point B is 25
2) Point A liest to the left of Point B.

The answer is D -- both statements are sufficient.

(1) is sufficient for the reasons already stated in this post.
(2) is sufficient because we know the relative placement of A and C and the distance between them. From the question stem, we know that point B can not be between A and C because of the large distance between B and C. Therefore, B can either be to the left of A (and thus, the left of C) or to the right of A (and thus, the right of C). Statememt (2) clears up this question.
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Re: Number Line - DS [#permalink]  16 Jun 2008, 12:12

from the stem we get 2 situations

1) A--5--C-----20-----B
2) B-----15-------A--5--C

now we need to find out which of the above 2 situations hold

choice A says
A) Distance betn A and B is 25 which means situation (1) applies - sufficient
Choice B says
B)Point A lies left of point B - again situation (1) applies - Sufficient
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Re: Number Line - DS [#permalink]  16 Jun 2008, 14:28
aren't there 4 possibilities from the stem?? because both A could be 5 to the left or 5 to the right of C. and B could be 20 to the left or 20 to the right of C.

thus 4 possibilities:

1) B------A--C *
2) B---------C--A
3) A--C---------B *
4) C--A-------B

therefore, given statement (1), possibilities 1 and 3 work. (1) is sufficient.

however, in possibilities 3 and 4, A lies to the left of B, yet only in 3 is C between A and B. (2) is insufficient.
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Re: Number Line - DS [#permalink]  16 Jun 2008, 20:44
Yep i missed out on the original stem .. two more situations

sorry for the error
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Re: Number Line - DS [#permalink]  17 Jun 2008, 05:19
maulikmajithia wrote:

from the stem we get 2 situations

1) A--5--C-----20-----B
2) B-----15-------A--5--C

now we need to find out which of the above 2 situations hold

choice A says
A) Distance betn A and B is 25 which means situation (1) applies - sufficient
Choice B says
B)Point A lies left of point B - again situation (1) applies - Sufficient

Good point. My mistake, I forgot to swap the positions of A and C --> answer should be A
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Re: Number Line - DS [#permalink]  17 Jun 2008, 10:41
Statement 1 and 2 each give 2 possibilities. Choice C gives one position of A, B, and C.
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Re: Number Line - DS   [#permalink] 17 Jun 2008, 10:41
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