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Senior Manager
Joined: 20 Feb 2008
Posts: 299
Location: Bangalore, India
Schools: R1:Cornell, Yale, NYU. R2: Haas, MIT, Ross
Followers: 4
Kudos [?]:
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[x] denotes biggest integer smaller than x . Is [x] \gt [-x] ?
1. x = [x] + 1
2. x + 1 \gt 0
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SVP
Joined: 17 Jun 2008
Posts: 1592
Followers: 7
Kudos [?]:
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It should be E.
From stmt1: x is an integer. But, if x is a positive integer, the inequality is true. However, if x is a negative integer, the inequality is not true.
From stmt2: x > -1. Again, for positive x, inequality is true and for negative x, inequality is not true.
Combining both, x > -1 and x is integer.
Hence, x = 0,1,2,3,4,.....
For x > 0, inequality holds true. However, for x = 0, it does not hold true.
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CEO
Joined: 29 Aug 2007
Posts: 2528
Followers: 41
Kudos [?]:
364
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ventivish wrote: [x] denotes biggest integer smaller than x . Is [x] \gt [-x] ?
1. x = [x] + 1
2. x + 1 \gt 0 1: x is an integer and it is true for every integer. not suff. 2: if x+1 > 0, x is >-1. nsf.. togather, x is neither - nor + fraction but it could be 0 or +ve integer. if x is 0, [x] = -1 and [-x] = 1. so [x] < [-x]. if x is 1, [x] = 0 and [-x] = 0. so [x] = [-x] if x is 2, [x] = 1 and [-x] = -1. so [x] > [-x] nsf... got E...
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Manager
Joined: 16 Feb 2011
Posts: 199
Schools: ABCD
Followers: 1
Kudos [?]:
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[0], given: 78
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What does x = [x] + 1 mean?
If x = 2 (say integer), [x] = 2 => x = 2+1 = 3; how is that possible ?
Thoughts?
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Director
Joined: 22 Mar 2011
Posts: 608
WE: Science (Education)
Followers: 46
Kudos [?]:
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[0], given: 43
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voodoochild wrote: What does x = [x] + 1 mean?
If x = 2 (say integer), [x] = 2 => x = 2+1 = 3; how is that possible ?
Thoughts? [2] = 1, being the greatest integer smaller than 2. But [2.5] = 2.
_________________
PhD in Applied Mathematics
Love GMAT Quant questions and running.
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