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If m and r are two number on a number line, What is the

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If m and r are two number on a number line, What is the value of r?
A. The distance between r and 0 is 3 times the distance between m and 0
B. 12 is the halfway between m and r

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New post 12 Jan 2009, 10:54
shobuj40 wrote:
If m and r are two number on a number line, What is the value of r?
A. The distance between r and 0 is 3 times the distance between m and 0
B. 12 is the halfway between m and r

a:r=3m (insuff)
b:m+d=12=r-d or r+d=12=m-d (insuff)

m+d=12
3m-d=12

Both together suff.
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New post 13 Jan 2009, 04:09
OA is : E
looking fo more discussion

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New post 13 Jan 2009, 06:25
tusharvk wrote:
shobuj40 wrote:
If m and r are two number on a number line, What is the value of r?
A. The distance between r and 0 is 3 times the distance between m and 0
B. 12 is the halfway between m and r

a:r=3m (insuff) OR r = -3*m
b:m+d=12=r-d or r+d=12=m-d (insuff)
2) the average of m & r is 12 i.e. (m+r)/2=12, we can have differnt values for m & r, so insuff



together, substitute r in (2), since r has 2 different values, we still can not find out exact value of r.
E

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New post 13 Jan 2009, 09:00
I still can't get how comes E, as I can find an exact value for r.

stmt 1:
r=3m, we have a linear equation with 2 variables, thus INSUFF.

stmt 2:
if 12 is the halfway between r and m, it means that the 12 is the average of r and m.
It means that (r+m)/2=12 => r+m=24.
Still, one linear equation with two variables, thus INSUFF.

Both stmts together:
Substitute m=r/3 in the second equation yields r=18, thus SUFF and my answer is C.

Can someone please explain where my approach is flawed?

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New post 13 Jan 2009, 09:54
alpha_plus_gamma wrote:
tusharvk wrote:
shobuj40 wrote:
If m and r are two number on a number line, What is the value of r?
A. The distance between r and 0 is 3 times the distance between m and 0
B. 12 is the halfway between m and r

a:r=3m (insuff) OR r = -3*m
b:m+d=12=r-d or r+d=12=m-d (insuff)
2) the average of m & r is 12 i.e. (m+r)/2=12, we can have differnt values for m & r, so insuff



together, substitute r in (2), since r has 2 different values, we still can not find out exact value of r.
E

You are right; nothing in A says that r and m>0. But both have to be on the same side of zero (either positive or negative side of zero).
12 being in the middle of the two is sufficient to pinpoint the location of both m and r.
Hence, may be I am questioning the OA.
Is there OE?
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New post 14 Jan 2009, 04:16
can anyone explain it more elaborately

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New post 14 Jan 2009, 12:17
The best way to resolve is look for GMAT conventions.
In such problems, are we to assume that the numbers are to lie on the positive side of zero.
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Re: Source GMATPrep [#permalink]

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New post 14 Jan 2009, 13:09
shobuj40 wrote:
If m and r are two number on a number line, What is the value of r?
A. The distance between r and 0 is 3 times the distance between m and 0
B. 12 is the halfway between m and r


Using both statements, you still have two possibilities:

m = 6, r = 18
m = -12, r = 36.

The answer is E.
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Re: Source GMATPrep [#permalink]

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New post 15 Jan 2009, 02:36
shobuj40 wrote:
If m and r are two number on a number line, What is the value of r?
A. The distance between r and 0 is 3 times the distance between m and 0
B. 12 is the halfway between m and r


Statement I : This statement is insufficient as it only gives us information that r=3m.

Statement II : This statement alone is insufficient as it just says that 12 is half way between m & r. That can be any value of r.

Combined together, the only possible answer for r=18. Hence the answer is C

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New post 15 Jan 2009, 02:41
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tusharvk wrote:
The best way to resolve is look for GMAT conventions.
In such problems, are we to assume that the numbers are to lie on the positive side of zero.


On the GMAT, do not assume anything. If the question doesn't tell you that the numbers are positive, you'll likely be landing in a trap if you assume they are. For the question above, if you assume r and m are both positive, you'll arrive at the conclusion that the answer is C. It's not C, because m can be negative. The answer is E, as I pointed out above.
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New post 15 Jan 2009, 02:52
IanStewart wrote:
shobuj40 wrote:
If m and r are two number on a number line, What is the value of r?
A. The distance between r and 0 is 3 times the distance between m and 0
B. 12 is the halfway between m and r


Using both statements, you still have two possibilities:

m = 6, r = 18
m = -12, r = 36.

The answer is E.


You have an interesting arguement & I believe you are right. What is the OA?

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New post 15 Jan 2009, 02:58
Ianstewart

thanks and rest Mr tusharvak

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Re: Source GMATPrep   [#permalink] 15 Jan 2009, 02:58
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