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Is |A - B | > | A - C | ? 1) | B | > | C | 2) A > 0

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Director
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Is |A - B | > | A - C | ? 1) | B | > | C | 2) A > 0 [#permalink] New post 23 Feb 2004, 23:27
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A
B
C
D
E

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Is |A - B | > | A - C | ?

1) | B | > | C |
2) A > 0

Any method other than picking numbers to solve this problem is
greatly apprecaited!
Director
Director
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Kudos [?]: 14 [0], given: 0

 [#permalink] New post 24 Feb 2004, 07:37
anandnk wrote:
Is E the answer ?

No official answers, but I also got E.
Senior Manager
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Re: DS - MOD [#permalink] New post 26 Feb 2004, 10:11
kpadma wrote:
Is |A - B | > | A - C | ?

1) | B | > | C |
2) A > 0

Any method other than picking numbers to solve this problem is
greatly apprecaited!


The method other than picking the number:

imagine FOUR points A, B, C and O on the number line. O corresponds to 0 on the number line

Now the question is |A - B | > | A - C | which is basically asking: is the segment AB > segment AC on the number line?

Statement 1 : Segment BO > segment CO, In other words, B is farther than C from 0. B and C could be on either side of 0. But the absolute distance of B from 0 is greater than the absolute distance of C from 0. we do not know the position of A. So not suffeciaent.

Statement 2: it is self explanatory. In our number line, this does not help us identify the position of point B and C. NOT SUFFECIENT

Both together: If you combine the above two explanation, you will realize that it is not suffecient.

So the answer E
SVP
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 [#permalink] New post 26 Feb 2004, 10:16
hi gmatblast,


Have u ever taught kids? This is one of the best explanation I have come across. I will definitely apply this in Quant.

Anand.
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 [#permalink] New post 26 Feb 2004, 11:15
anandnk wrote:
hi gmatblast,


Have u ever taught kids? This is one of the best explanation I have come across. I will definitely apply this in Quant.

Anand.


Well I am glad you liked the explanation. And as for teaching kids, nop I have never taught to any kids... now as you have mentioned, I should probably think about it in future. :-D

By the way, I got the concept of distance for absolute value from the following link. You are probably already aware of it. But just in case

http://www.purplemath.com/modules/absolute.htm
Director
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 [#permalink] New post 26 Feb 2004, 15:32
gmatblast wrote:

By the way, I got the concept of distance for absolute value from the following link. You are probably already aware of it. But just in case

http://www.purplemath.com/modules/absolute.htm


Good explanation, Gmatblast, Thanks :idea:
Senior Manager
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Re: DS - MOD [#permalink] New post 19 May 2004, 07:23
gmatblast wrote:
kpadma wrote:
Is |A - B | > | A - C | ?

1) | B | > | C |
2) A > 0

Any method other than picking numbers to solve this problem is
greatly apprecaited!


The method other than picking the number:

imagine FOUR points A, B, C and O on the number line. O corresponds to 0 on the number line

Now the question is |A - B | > | A - C | which is basically asking: is the segment AB > segment AC on the number line?

Statement 1 : Segment BO > segment CO, In other words, B is farther than C from 0. B and C could be on either side of 0. But the absolute distance of B from 0 is greater than the absolute distance of C from 0. we do not know the position of A. So not suffeciaent.

Statement 2: it is self explanatory. In our number line, this does not help us identify the position of point B and C. NOT SUFFECIENT

Both together: If you combine the above two explanation, you will realize that it is not suffecient.

So the answer E


AWESOME!!!!!!!!!! :woohoo :wave
Re: DS - MOD   [#permalink] 19 May 2004, 07:23
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