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Senior | Next Rank: 100 Posts
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by skalevar » Tue Sep 14, 2010 6:06 pm
#32. Is the value of n closer to 50 than to 75?

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

I found this very tricky. I got messed up because I considered two cases, when n > 0 and when n <0. I think I'm coming around to the fact that it doesn't matter whether n>0 or n<0 but any additional help you give would be much appreciated.

What do you think? Any shortcuts or tips?
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Source: — Data Sufficiency |

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by Rahul@gurome » Tue Sep 14, 2010 6:42 pm
(1) 75 - n > n - 50 or 125 > 2n or n < 62.5
As n keeps on decreasing, it will be farther from 75.
If n = 60, then n is closer to 50
If n = 10, then difference between 50 and 10 is lesser than the difference between 75 and 10. So n is closer to 50.

So, (1) is SUFFICIENT.

(2) n > 60 is again NOT SUFFICIENT as we don't know the exact value of n.

The correct answer is [spoiler](A)[/spoiler].
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by skalevar » Wed Sep 15, 2010 4:11 am
That's helpful. For some reason, I had trouble simplifying the inequality. Once you do that, the question becomes easy. Thanks!
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