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# If m and r are two numbers on a number line, what is the

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Director
Joined: 03 Jun 2009
Posts: 772
Location: New Delhi
WE 1: 5.5 yrs in IT
If m and r are two numbers on a number line, what is the [#permalink]

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25 Jul 2009, 13:38
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If m and r are two numbers on a number line, what is the value of r ?

(1) The distance between r and 0 is 3 times the distance between m and 0 .

(2) 12 is halfway between m and r.

Source :GMATPrep

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25 Jul 2009, 14:01
[quote="bigoyal"]If m and r are two numbers on a number line, what is the value of r ?

(1) The distance between r and 0 is 3 times the distance between m and 0 .

(2) 12 is halfway between m and r.

DRAW IT

0................M=6..................12.................R =18
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Joined: 18 Jul 2009
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25 Jul 2009, 14:06
Statement (1) r=3m.......only distant gives us absolute value of relativity....hence there are 4 possible situation arises on either side of numberline .....hence insufficient
Statement (2) it gives avg of m & n as 12 hence.....m+n = 24 ( possible values....[11,13] [10,14] [9,15].......)......hence insufficient

Statement (1)+(2) gives us r=3m & m+n=24...only possible solution is (m,n) = (6,18)....hence sufficient.....hence C

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Director
Joined: 03 Jun 2009
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25 Jul 2009, 22:15

But unfortunately, the OA is E ...... I donno what could be the reason. Also, since the question is from GMATPrep, I don't want to challenge the authenticity of the answer
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Director
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25 Jul 2009, 22:18
Ah! Now I got it

We are assuming both m and r on the same side of number-line, i.e. +ve side. But there are possibilities that m and r lie on either side of the number line, still meeting the requirement
|r| = |3m|

Hence E is correct

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Re: Number Line   [#permalink] 25 Jul 2009, 22:18
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# If m and r are two numbers on a number line, what is the

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