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# denotes the greatest integer less than x. which of the

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Manager
Joined: 01 Nov 2007
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denotes the greatest integer less than x. which of the [#permalink]  10 Mar 2008, 01:58
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[x] denotes the greatest integer less than x. which of the following is closest to is closest to x?
I. [x-1/2]
II. [x+1/2]
III. [2x]-[x]
Director
Joined: 05 Jan 2008
Posts: 707
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Re: PS (integers) [#permalink]  10 Mar 2008, 02:04
Is it B [x+1/2]

[x] should be denoting x-1, as it is the greatest integer less than x
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Director
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Re: PS (integers) [#permalink]  10 Mar 2008, 05:49
az780 wrote:
[x] denotes the greatest integer less than x. which of the following is closest to is closest to x?
I. [x-1/2]
II. [x+1/2]
III. [2x]-[x]

III - i just drew a graph for x in [0,1)

I is way off, II is ok, III - better than II.
Re: PS (integers)   [#permalink] 10 Mar 2008, 05:49
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