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# Is the value of n closer to 50 than 70? 1. 75-n>n-50

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Is the value of n closer to 50 than 70? 1. 75-n>n-50 [#permalink]

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26 May 2004, 17:35
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Is the value of n closer to 50 than 70?
1. 75-n>n-50
2.n>60

pls show & explain workings

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Senior Manager
Joined: 07 Oct 2003
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26 May 2004, 19:31
A. 125>2n
62.5>n
n could be 50 or 62, hence it's insufficient

B. n>60 means it must be closer to 70, wether the value is 61 or 100
hence it's B

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SVP
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26 May 2004, 20:29
I think it is B.
Same explanation as that of lastochka

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Manager
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28 May 2004, 11:35
lastochka wrote:
A. 125>2n
62.5>n
n could be 50 or 62, hence it's insufficient

B. n>60 means it must be closer to 70, wether the value is 61 or 100
hence it's B

If n>62.5, how can n be 50? If n is greater than 62.5 then n is closer to 70.

60 is midway btwn 50 and 70, so if n > 60, then n is closer to 70.

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SVP
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28 May 2004, 12:46
A) 75-n > n-50
n = 61 (n is closer to 70 )
75-n = 14 and n-50 = 11 so 14 > 11

n = 55 (n is closer to 70 )
75-n = 20 and 55-50 = 5 so 20 > 5

Therefore (A) is not sufficient.

B) if n > 60 then even if n = 60.0001 it is closer to 70 than 50
if n = 1000 then also n is closer to 70 than 50.
So Sufficient.

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28 May 2004, 12:56
I see where I got confused...I saw 62.5>n, and I was thinking n>62.5....my bad.

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Manager
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28 May 2004, 12:57
I see where I got confused...I saw 62.5>n, and I was thinking n>62.5....my bad.

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28 May 2004, 12:57
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