n closer to 50 or 75?

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umaa: Legendary Member; Posts: 727; Joined: Sun Jun 08, 2008 9:32 pmFollowed by: 1 member; Thanked: 8 times

by umaa » Wed Jul 22, 2009 7:03 pm

OA is A.

But why do you need to assume that n is between 50 and 75. I might be a negative integer or number.

Let me know.

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Source: Beat The GMAT — Data Sufficiency | Wed Jul 22, 2009 7:03 pm

mehravikas: Legendary Member; Posts: 1161; Joined: Mon May 12, 2008 2:52 amFollowed by: 1 member; Location: Sydney; Thanked: 23 times

by mehravikas » Wed Jul 22, 2009 7:34 pm

Statement 1 –
75 – n > n – 50

- n – n > - 50 – 75
- 2n > -125
2n < 125 (multiply by – and change the inequality sign)
N < 62.5

62.5 is evenly spaced between 50 and 75, if n is less than 62.5 then it is closer to 50.

Statement 2 n > 60 n could be any number between 61 and 75. therefore no sufficient

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umaa: Legendary Member; Posts: 727; Joined: Sun Jun 08, 2008 9:32 pmFollowed by: 1 member; Thanked: 8 times

by umaa » Wed Jul 22, 2009 7:36 pm

But without knowing whether n is positive or negative, we don't simplify the equation.

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Spaceman Spiff: Senior | Next Rank: 100 Posts; Posts: 54; Joined: Fri Apr 03, 2009 7:23 pm; Location: Los Angeles; Thanked: 1 times; GMAT Score:780

by Spaceman Spiff » Wed Jul 22, 2009 7:45 pm

umaa wrote:But without knowing whether n is positive or negative, we don't simplify the equation.

Only if you are dividing or multiplying both sides by n. Otherwise if you're just adding/subtracting, it doesn't matter if n's positive or negative.

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gmat_dest: Master | Next Rank: 500 Posts; Posts: 186; Joined: Fri Jan 16, 2009 4:57 am; Thanked: 7 times; GMAT Score:720

by gmat_dest » Thu Jul 23, 2009 7:47 am

exactly, as the above poser said.

And since its less than 62.5 , even if its negative it will be closer to 50.

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