BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

29-13

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Master | Next Rank: 500 Posts
Posts: 484
Joined: Sun Jul 30, 2006 7:01 pmFollowed by: 1 member
Thanked: 2 times
by magical cook » Tue Aug 28, 2007 10:06 am
For any positive integer x, the 2-height of x is defined to be the greatest nonnegative integer n such that 2n 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.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Data Sufficiency |
Senior | Next Rank: 100 Posts
Posts: 30
Joined: Sat Aug 11, 2007 10:50 am
Thanked: 1 times
GMAT Score:700

by montz » Wed Aug 29, 2007 11:19 am
Each statement alone is sufficient. Is C the right answer? I may be missing out on something but here is what i could think of -

If 2n is a factor of x then x is even. Hence k and m both are even.

1. If k > m then the 2-height of k will be greater than the 2-height of m.
(k=6, m=4; 2-height of k=3 and 2-height of m=2). This is true for all values of k and m satisfying the given condition.

2.If m/k is an even integer then
m/k >= 2 => m > k.
2-height of m > 2-height of k
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 484
Joined: Sun Jul 30, 2006 7:01 pmFollowed by: 1 member
Thanked: 2 times

by magical cook » Wed Aug 29, 2007 2:56 pm
Unfortunately the answer seems different.

Can anyone help us?
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 70
Joined: Sun Jul 22, 2007 11:43 pm
Thanked: 8 times

by Bharat » Thu Aug 30, 2007 12:07 am
Let me know if below analysis looks OK.

The 2-height function is actually applicable to even numbers & provides half value for an even number.
It can be simplified as:

n (of K) = K/2 (if K is a positive even integer)

For odd numbers n is not an integer hence not defined.

Hence
1. if K > M, if either K or M, or both are odd then no answer
2. M/K = even integer: M = (2A)K so n of M is always greater or equal to n of K.

Hence 2 alone can help in deciding; so B is the answer.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 70
Joined: Sun Jul 22, 2007 11:43 pm
Thanked: 8 times

by Bharat » Thu Aug 30, 2007 12:07 am
Let me know if below analysis looks OK.

The 2-height function is actually applicable to even numbers & provides half value for an even number.
It can be simplified as:

n (of K) = K/2 (if K is a positive even integer)

For odd numbers n is not an integer hence not defined.

Hence
1. if K > M, if either K or M, or both are odd then no answer
2. M/K = even integer: M = (2A)K so n of M is always greater or equal to n of K.

Hence 2 alone can help in deciding; so B is the answer.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 484
Joined: Sun Jul 30, 2006 7:01 pmFollowed by: 1 member
Thanked: 2 times

by magical cook » Thu Aug 30, 2007 6:52 am
Thanks - yes answer is B.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1