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

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Manager
Joined: 14 Nov 2005
Posts: 65
If m and r are two numbers on a number line, what is the [#permalink]

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30 Jan 2006, 23:45
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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 a halfway between m and r
Manager
Joined: 15 Aug 2005
Posts: 198
Location: New York

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31 Jan 2006, 00:00
C too

The distance from 0 to m is 6, while the distance from 0 to r is 18.
VP
Joined: 20 Sep 2005
Posts: 1017

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31 Jan 2006, 00:01
I selected E after 2 minutes.
Yurik, can you pls explain your choice.
VP
Joined: 20 Sep 2005
Posts: 1017

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31 Jan 2006, 00:08

How about m = -12, r = 36. Midpoint is 12. Distance of r from 0 = 36 and distance of m from 0 is 12.
Manager
Joined: 15 Aug 2005
Posts: 198
Location: New York

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31 Jan 2006, 00:14
lhotseface wrote:

How about m = -12, r = 36. Midpoint is 12. Distance of r from 0 = 36 and distance of m from 0 is 12.

Ihotseface, you are correct. There are more than one example.
Director
Joined: 10 Oct 2005
Posts: 718

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31 Jan 2006, 00:18
lhotseface wrote:
I selected E after 2 minutes.
Yurik, can you pls explain your choice.

I see my mistake)))E it is
1)The distance between r and 0 is 3 times the distance between m and 0
insuff since r and m can be anywhere
2)insuff 12 is a halfway between m and r
multiple values))
together the same))
agree with you E it is
_________________

IE IMBA 2010

GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5043
Location: Singapore

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31 Jan 2006, 05:31
(1) Insufficient. If m is 1, then the distance is 1 and r could be 3. Similarly, if m is -1, then the distance is still 1 while r is kept at 3. But the distance between r and m will be 2 and 4 respectively.

(2) Insufficient. We do not know how m and r are equally spaced out from 12.

Using (1) and (2), we still can't tell how they are spaced out while keeping st1 satisfied.

If m = 6, r = 18, then 12 is midway between m and r, and r-m = 12

If m = -12, r = 36, then 12 is still midway between m and r and r-m=48

Ans E
31 Jan 2006, 05:31
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