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On the number line, the distance between point A and point C is 5 and

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jpr200012
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On the number line, the distance between point A and point C is 5 and [#permalink] New post  30 Jul 2010, 13:20
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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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Bunuel
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Re: On the number line, the distance between point A and point C is 5 and [#permalink] 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 is 5 and [#permalink] New post  30 Jul 2010, 13:25
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|----|------------------|
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: On the number line, the distance between point A and point C is 5 and [#permalink] 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 point A and point C is 5 and [#permalink] New post  18 Feb 2017, 03:53
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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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Re: On the number line, the distance between point A and point C is 5 and [#permalink] New post  13 Nov 2019, 07:12
Good c-trap question.
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On the number line, the distance between point A and point C is 5 and [#permalink] New post  17 Feb 2020, 02:49
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there are 4 ways this number line can be drawn

A-------5-------C-------------20--------------B

B----------------15----------------A-------5-------C

B---------------------20-----------------------C-----5-----A

C-----5-----A------------------15------------------B


from (1) only the 3rd line fulfils the criteria of AB = 25 and C is in between A and B. SUFFICIENT

(2) A is to the left of B in lines 1 and 4, we can't decide if C is in between A and B. INSUFFICIENT

hence A is the answer
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Re: On the number line, the distance between point A and point C is 5 and [#permalink] New post  19 Jul 2023, 01:42
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Re: On the number line, the distance between point A and point C is 5 and [#permalink]
19 Jul 2023, 01:42
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