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# Is the value of n closer to 50 than to 75? a) 75 - n > n

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Is the value of n closer to 50 than to 75? a) 75 - n > n [#permalink]  05 Jun 2008, 10:16
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Is the value of n closer to 50 than to 75?

a) 75 - n > n -50
b) n > 60
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Re: OG10 DS #123: Is the value of n closer to 50 than to 75? [#permalink]  05 Jun 2008, 10:24
gmatnub wrote:
Is the value of n closer to 50 than to 75?

a) 75 - n > n -50
b) n > 60

A

1) if you simplify 75-n > n-50 we get n<62.5 ; this condition is sufficient to say that n is closer to 50 than to 75 .

2) not enough information both n=61 and n=71 yield different results .
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Re: OG10 DS #123: Is the value of n closer to 50 than to 75? [#permalink]  06 Jun 2008, 00:36
I also go for A.
(1) On th number line, distance between 75 and n is greater than that b/w n and 50 . This implies that value of n is closer to 50 than 75.
SUFFICIENT
(2)The midpoint between 75 and 50 is 62.5. acc to (2), n>60 so it can be either <62.5 or greater than this.
INSUFFICIENT
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Re: OG10 DS #123: Is the value of n closer to 50 than to 75? [#permalink]  06 Jun 2008, 00:41
I got it wrong - ignore what i said earlier ... mind not working ...

Last edited by bsd_lover on 06 Jun 2008, 00:51, edited 2 times in total.
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Re: OG10 DS #123: Is the value of n closer to 50 than to 75? [#permalink]  06 Jun 2008, 00:50
bsd_lover wrote:
Its gotta be C guys

Consider N = -1 and N = 70 both satisfy A but -1 is closer to 50 and 70 is closer to 75.

Once we know that N > 60 then we can safely eliminate -1.

N= 70 doesn't satisfy eqn 1

N= -1 still says that N is closer to 50

A for me
Re: OG10 DS #123: Is the value of n closer to 50 than to 75?   [#permalink] 06 Jun 2008, 00:50
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