It is currently 20 Oct 2017, 20:20

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

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

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Manager
Manager
avatar
Joined: 10 Oct 2008
Posts: 56

Kudos [?]: 68 [0], given: 0

For any positive integer x, the 2-height of x is defined to [#permalink]

Show Tags

New post 08 Nov 2008, 23:20
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

Kudos [?]: 68 [0], given: 0

Intern
Intern
avatar
Joined: 30 Oct 2008
Posts: 30

Kudos [?]: 2 [0], given: 0

Re: positive integer --29 [#permalink]

Show Tags

New post 09 Nov 2008, 01:40
B.

From statement 1: k=3, m=2 then n(k) = 0 and n(m) = 1. Whereas, if k=4, m=2 then n(k)=2 n(m)=1. Thus not sufficient.
From staement 2: k/m = 2y. So k=m*2y. If greatest factor of m, meeting given condition, is 2^n then the factor of k would be 2^(n+1) Sufficient.

OA?

Kudos [?]: 2 [0], given: 0

Re: positive integer --29   [#permalink] 09 Nov 2008, 01:40
Display posts from previous: Sort by

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

  post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.