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

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Manager
Joined: 30 May 2010
Posts: 176
On the number line, the distance between point A and point C  [#permalink]

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30 Jul 2010, 12:20
4
00:00

Difficulty:

65% (hard)

Question Stats:

61% (01:57) correct 39% (01:42) wrong based on 454 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.
Math Expert
Joined: 02 Sep 2009
Posts: 52285
Re: on the number line the distance between  [#permalink]

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16 Nov 2010, 06:19
5
3
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.

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##### General Discussion
Manager
Joined: 30 May 2010
Posts: 176
Re: Points on the number line  [#permalink]

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30 Jul 2010, 12:25
1
|----|------------------|
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--------|
Manager
Joined: 30 May 2010
Posts: 176
Re: Points on the number line  [#permalink]

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30 Jul 2010, 12:27
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.
Manager
Joined: 07 Feb 2010
Posts: 129
On the number line, the distance between point A and point C  [#permalink]

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16 Nov 2010, 05:53
2
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.
Manager
Joined: 07 Feb 2010
Posts: 129
Re: on the number line the distance between  [#permalink]

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16 Nov 2010, 05:56
statement 1 is clearly sufficient.
from 2 A lies left of B so C should between A & C
what's wrong with this?
Manager
Joined: 22 Feb 2012
Posts: 85
Schools: HBS '16
GMAT 1: 740 Q49 V42
GMAT 2: 670 Q42 V40
GPA: 3.47
WE: Corporate Finance (Aerospace and Defense)
Re: On the number line, the distance between point A and point C  [#permalink]

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21 Mar 2012, 12:18
1
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..
Manager
Joined: 02 Nov 2009
Posts: 104
Re: on the number line the distance between  [#permalink]

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06 Jul 2012, 22:54
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.

Current Student
Joined: 08 Jan 2009
Posts: 304
GMAT 1: 770 Q50 V46
Re: on the number line the distance between  [#permalink]

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07 Jul 2012, 00:18
1
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.

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

http://www.veritasprep.com/blog/2011/01 ... edore-did/
Director
Joined: 26 Oct 2016
Posts: 636
Location: United States
Schools: HBS '19
GMAT 1: 770 Q51 V44
GPA: 4
WE: Education (Education)
Re: On the number line, the distance between point A and point C  [#permalink]

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18 Feb 2017, 02:53
1
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.

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Thanks & Regards,
Anaira Mitch

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Posts: 9432
Re: On the number line, the distance between point A and point C  [#permalink]

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24 Apr 2018, 05:51
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Re: On the number line, the distance between point A and point C &nbs [#permalink] 24 Apr 2018, 05:51
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