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Is the value of n closer to 50 than to 75?

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Director
Joined: 23 Sep 2007
Posts: 761
Is the value of n closer to 50 than to 75? [#permalink]

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Updated on: 09 Nov 2013, 02:44
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Difficulty:

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73% (00:51) correct 27% (01:05) wrong based on 425 sessions

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Is the value of n closer to 50 than to 75?

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

Originally posted by gmatnub on 05 Jun 2008, 10:16.
Last edited by Bunuel on 09 Nov 2013, 02:44, edited 1 time in total.
Edited the question and added the OA.
Senior Manager
Joined: 19 Apr 2008
Posts: 307
Re: OG10 DS #123: Is the value of n closer to 50 than to 75? [#permalink]

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05 Jun 2008, 10:24
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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 .
VP
Joined: 18 May 2008
Posts: 1181
Re: OG10 DS #123: Is the value of n closer to 50 than to 75? [#permalink]

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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
CEO
Joined: 17 May 2007
Posts: 2900
Re: OG10 DS #123: Is the value of n closer to 50 than to 75? [#permalink]

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Updated on: 06 Jun 2008, 00:51
I got it wrong - ignore what i said earlier ... mind not working ...

Originally posted by bsd_lover on 06 Jun 2008, 00:41.
Last edited by bsd_lover on 06 Jun 2008, 00:51, edited 2 times in total.
Director
Joined: 14 Aug 2007
Posts: 697
Re: OG10 DS #123: Is the value of n closer to 50 than to 75? [#permalink]

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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
Manager
Joined: 03 Jan 2015
Posts: 84
Re: Is the value of n closer to 50 than to 75? [#permalink]

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24 Feb 2016, 04:04
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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Concentration: General Management, Technology
GMAT 1: 540 Q45 V20
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Re: Is the value of n closer to 50 than to 75? [#permalink]

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09 Apr 2016, 05:51
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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Intern
Joined: 17 Feb 2018
Posts: 2
Is the value of n closer to 50 than to 75? [#permalink]

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14 Mar 2018, 05:12
Why is the answer not C?

1) If n = 30, then 75 -30 = 45 > 30-50 = -20 and n is closer to 50. If n = 60 then 75 -60 = 15 > 60 -50 = 10 but n is closer to 75.

2) n > 60 not suff since do not know how much larger

Together: 75 - 62 = 13 > 62 - 50 = 12 ---> 60 < n < 63 Sufficient
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Re: Is the value of n closer to 50 than to 75? [#permalink]

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14 Mar 2018, 11:09
ma123 wrote:
Why is the answer not C?

1) If n = 30, then 75 -30 = 45 > 30-50 = -20 and n is closer to 50. If n = 60 then 75 -60 = 15 > 60 -50 = 10 but n is closer to 75.

2) n > 60 not suff since do not know how much larger

Together: 75 - 62 = 13 > 62 - 50 = 12 ---> 60 < n < 63 Sufficient

Hello

In both the examples that you have taken, (n=30 and n=60), n is actually closer to 50 only, than it is to 75.
(60 is closer to 50 because difference between 60 and 50 is 10 while difference between 60 and 75 is 15).
Re: Is the value of n closer to 50 than to 75?   [#permalink] 14 Mar 2018, 11:09
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