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

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

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New post 30 Jul 2010, 13:20
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Question Stats:

57% (01:08) correct 43% (01:03) wrong based on 388 sessions

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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 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.
[Reveal] Spoiler: OA

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Re: Points on the number line [#permalink]

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New post 30 Jul 2010, 13:25
|----|------------------|
A C B
|- 5--|
|--------20-------|
|-----------25----------|

Only way statement 1 works is above. Statement 1 is sufficient.

Statement 2 is a trap. If you do statement 1 first, you may be fooled into thinking, because A is to the left of point B that it is the same as above. However, it could also be:
|----|------------|
C A B
|-5--|
|---20-------|
|-------20--------|

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Re: Points on the number line [#permalink]

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New post 30 Jul 2010, 13:27
Doh, it didn't preserve the white space. Anyways, in Statement 2 we don't know the distance between A and B, therefore it could 20 or 25 units apart. C could be to the left of A or in the middle.

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

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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.

Kudos [?]: 743 [0], given: 101

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Re: on the number line the distance between [#permalink]

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New post 16 Nov 2010, 06:56
statement 1 is clearly sufficient.
from 2 A lies left of B so C should between A & C
what's wrong with this?

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Re: on the number line the distance between [#permalink]

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New post 16 Nov 2010, 07:19
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anilnandyala wrote:
on the number line the distance between point A & C is 5 & the distance between point B & c is 20 . does the point c lie between point A & B?
a) the distance between A & B is 25
b) point A lies left to pont B


For statement 2 following cases are possible:
A--(5)--C-------(20)-----------B
C--(5)--A-------(15)---------B


So this statement is not sufficient.

Answer: A.
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Re: On the number line, the distance between point A and point C [#permalink]

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New post 21 Mar 2012, 13:18
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Nice question.. Thanks for the answer Bunuel...

I tht it was D till i read your explanation of why statement 2 is not sufficient..

I hadnt considered the possibility with C all the way to the left..

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Re: on the number line the distance between [#permalink]

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New post 06 Jul 2012, 23:54
Bunuel

I am unable to do number line problems unable to understand concept any suggestions please


Bunuel wrote:
anilnandyala wrote:
on the number line the distance between point A & C is 5 & the distance between point B & c is 20 . does the point c lie between point A & B?
a) the distance between A & B is 25
b) point A lies left to pont B


For statement 2 following cases are possible:
A--(5)--C-------(20)-----------B
C--(5)--A-------(15)---------B


So this statement is not sufficient.

Answer: A.

Kudos [?]: 204 [0], given: 97

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Re: on the number line the distance between [#permalink]

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New post 07 Jul 2012, 01:18
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venmic wrote:
Bunuel

I am unable to do number line problems unable to understand concept any suggestions please


Bunuel wrote:
anilnandyala wrote:
on the number line the distance between point A & C is 5 & the distance between point B & c is 20 . does the point c lie between point A & B?
a) the distance between A & B is 25
b) point A lies left to pont B


For statement 2 following cases are possible:
A--(5)--C-------(20)-----------B
C--(5)--A-------(15)---------B


So this statement is not sufficient.

Answer: A.


Highly recomend Karishma's blog posts on absolute values / number line concepts

http://www.veritasprep.com/blog/2011/01 ... edore-did/

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Re: On the number line, the distance between point A and point C [#permalink]

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New post 18 Feb 2017, 03:53
AC= 5, BC = 20

Stmt 1: AB = 25; From the properties of number line, C must be between A and B (does not matter on which side in the line). Sufficient

Stmt 2: A lies to the left of B; C could be between A and B or it could be left to A making AC=5, AB = 15 and BC = 20. Insufficient.

Answer A.
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Kudos [?]: 180 [0], given: 855

Re: On the number line, the distance between point A and point C   [#permalink] 18 Feb 2017, 03:53
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On the number line, the distance between point A and point C

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