Is the value of n closer to 50 than to 75? : GMAT Data Sufficiency (DS)
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# Is the value of n closer to 50 than to 75?

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Is the value of n closer to 50 than to 75? [#permalink]

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05 Jun 2008, 09:16
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Is the value of n closer to 50 than to 75?

(1) 75 - n > n -50
(2) n > 60
[Reveal] Spoiler: OA

Last edited by Bunuel on 09 Nov 2013, 01:44, edited 1 time in total.
Edited the question and added the OA.
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Re: OG10 DS #123: Is the value of n closer to 50 than to 75? [#permalink]

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05 Jun 2008, 09:24
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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]

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05 Jun 2008, 23:36
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]

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05 Jun 2008, 23:41
I got it wrong - ignore what i said earlier ... mind not working ...

Last edited by bsd_lover on 05 Jun 2008, 23:51, 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]

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05 Jun 2008, 23:50
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
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Re: Is the value of n closer to 50 than to 75? a) 75 - n > n [#permalink]

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08 Nov 2013, 12:13
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Re: Is the value of n closer to 50 than to 75? [#permalink]

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26 Dec 2015, 16:49
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Is the value of n closer to 50 than to 75? [#permalink]

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24 Feb 2016, 03:04
Is the value of n closer to 50 than to 75?

(1)$$75 - n > n -50$$
Simplify the inequality. ---> $$75 - n > n -50$$ ---> $$125 > 2n$$ ---> $$62,5 > n$$. Therefore, n is closer to 50 than it is to 75. Sufficient

(2) $$n > 60$$
N could be 61 in this case, n is closer to 50 than to 75. However, n could also be 70. In this case, n is closer to 75 than to 50.
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Re: Is the value of n closer to 50 than to 75? [#permalink]

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09 Apr 2016, 04:51
gmatnub wrote:
Is the value of n closer to 50 than to 75?

(1) 75 - n > n -50
(2) n > 60

is n > 62.5 or n < 62.5?

1. 75 - n > n -50
75-50 > 2n
n < 62.5 YES.
suff

2. n > 60.
so if n is between 60 and 62.5 then yes otherwise no. insuff

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Re: Is the value of n closer to 50 than to 75?   [#permalink] 09 Apr 2016, 04:51
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