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

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Manager
Joined: 13 Dec 2013
Posts: 161
Location: United States (NY)
GMAT 1: 710 Q46 V41
GMAT 2: 720 Q48 V40
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WE: Consulting (Consulting)
For any positive integer x, the 2-height of x is defined to be the  [#permalink]

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14 Apr 2017, 19:42
1
00:00

Difficulty:

45% (medium)

Question Stats:

80% (02:20) correct 20% (00:34) wrong based on 5 sessions

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For any positive integer x, the 2-height of x is defined to be the greatest non-negative 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)m/k is an even integer

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Manager
Joined: 13 Dec 2013
Posts: 161
Location: United States (NY)
GMAT 1: 710 Q46 V41
GMAT 2: 720 Q48 V40
GPA: 4
WE: Consulting (Consulting)
Re: For any positive integer x, the 2-height of x is defined to be the  [#permalink]

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14 Apr 2017, 19:50
I posted this question because I have a question regarding the OG explanation for 1). My reasoning for 1) being insufficient is as follows:

If k=4 and m=2, the greatest value of n (the 2-height) for k is 2, and the greatest value of n for m is 1.
If k=3 and m=1, the greatest value of n (the 2-height) is 0 for both k and m. Both 2-heights are equal. Not suff.

In the OG they give the example of k=3 and m=2 which gives a greater 2-height for m than for k. I believe my justification to be as valid as that from the OG. Any comments?
Math Expert
Joined: 02 Sep 2009
Posts: 48110
Re: For any positive integer x, the 2-height of x is defined to be the  [#permalink]

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15 Apr 2017, 03:00
Cez005 wrote:
For any positive integer x, the 2-height of x is defined to be the greatest non-negative 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)m/k is an even integer

Like the q? Kudos!

This question is discussed here: for-any-positive-integer-x-the-2-height-of-x-is-defined-to-be-the-207706.html

Question is locked and archived.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: For any positive integer x, the 2-height of x is defined to be the &nbs [#permalink] 15 Apr 2017, 03:00
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