It is currently 19 Feb 2018, 21:40

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 be the

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Manager
Manager
avatar
S
Joined: 13 Dec 2013
Posts: 171
Location: United States (NY)
Concentration: Nonprofit, International Business
GMAT 1: 710 Q46 V41
GMAT 2: 720 Q48 V40
GPA: 4
WE: Consulting (Consulting)
Reviews Badge
For any positive integer x, the 2-height of x is defined to be the [#permalink]

Show Tags

New post 14 Apr 2017, 18:42
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

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

HideShow timer Statistics

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!
[Reveal] Spoiler: OA
Manager
Manager
avatar
S
Joined: 13 Dec 2013
Posts: 171
Location: United States (NY)
Concentration: Nonprofit, International Business
GMAT 1: 710 Q46 V41
GMAT 2: 720 Q48 V40
GPA: 4
WE: Consulting (Consulting)
Reviews Badge
Re: For any positive integer x, the 2-height of x is defined to be the [#permalink]

Show Tags

New post 14 Apr 2017, 18:50
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?
Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43806
Re: For any positive integer x, the 2-height of x is defined to be the [#permalink]

Show Tags

New post 15 Apr 2017, 02:00
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: https://gmatclub.com/forum/for-any-posi ... 07706.html

Question is locked and archived.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Re: For any positive integer x, the 2-height of x is defined to be the   [#permalink] 15 Apr 2017, 02:00
Display posts from previous: Sort by

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

  new topic 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®.