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For any positive integer x, the 2-height of x is defined to

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Director
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Joined: 29 Aug 2005
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For any positive integer x, the 2-height of x is defined to  [#permalink]

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New post 12 Nov 2008, 16:21
For any positive integer x, the 2-height of x is defined to be the greatest nonnegative
integer n such that \(2^n\) is a factor of x. If k and m are positive integers, is the 2-height of k
greater than the 2-height of m ?
(1) k > m
(2) k/m is an even integer.

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Re: GMAT Set 29 -13  [#permalink]

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New post 12 Nov 2008, 19:29
botirvoy wrote:
For any positive integer x, the 2-height of x is defined to be the greatest nonnegative integer n such that \(2^n\) is a factor of x. If k and m are positive integers, is the 2-height of k greater than the 2-height of m ?

(1) k > m
(2) k/m is an even integer.


B.

2: if k/m is an even integer, k has at least one more 2 as factors than m has.
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Re: GMAT Set 29 -13  [#permalink]

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New post 12 Nov 2008, 23:37
B it is... if you're wondering why (1) doesn't work, consider k=9 and m=8. k then has a 2-height of 0 and m has a 2-height of 3.

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Re: GMAT Set 29 -13 &nbs [#permalink] 12 Nov 2008, 23:37
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