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Master | Next Rank: 500 Posts
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by vladmire » Sat Dec 20, 2008 3:51 pm
How can I visualize this problem?
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Source: — Data Sufficiency |
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by logitech » Sat Dec 20, 2008 4:07 pm
This is an absolute value question but we can also solve this question on the number line

ST1) Abs (C-A) = Abs (C-B) From the question stem we know A and B can not be same points since Abs (A-B) = 18, so we are left with one option:

C is in the middle of A and B

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

No info for D, therefore it is INSUF

ST2)

Abs (D-A) > 0

No info

ST1+ST2)

So :

A--D---C---D---B we have two different distance for B-D

B------C--------A -------D we have only one distance for B-D

We have three different possibilities, hence choose E
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by mental » Sun Dec 21, 2008 6:49 am
Just a small correction Logitech:
A--D---C---D---B we have two different distance for B-D

B------C--------A -------D we have only one distance for B-D

We have three different possibilities, hence choose E
As from S1 and Ques: dist AB = 18
C is midpoint. So Dist of AC=BC=9
given CD=8

and from S2: A is to the left of D

Third possibility is not possible,
B------C--------A -------D we have only one distance for B-D
As (CD=8) < (CA=9)

Answer is still E

Logitech, I really admire your lightning quick solutions. Your posts are always a learning manual. Thanks for all of your lovely solutions.
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