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 →

number theory

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Problem Solving |
User avatar
Senior | Next Rank: 100 Posts
Posts: 50
Joined: Fri Dec 18, 2009 12:30 amFollowed by: 4 members
Thanked: 5 times
GMAT Score:700

by magizhan » Mon Apr 12, 2010 6:00 pm
Since m^2 is divisible by 48, possible values of m^2 are 1*48, 2*48, 3*48....

factorising 48 we get 3*2^4, Since m is an integer m^2 should have even powers of prime factors.

First possible value of m^2 is 3*48 = 3^2*2^4, which implies m=12.

Possible values of m are therefore 12, 24, 36..

As m could be any number in the above series, the maximum possible integer that divides m should satisfy any value of m in the above series.

Hence 12. Answer C.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 268
Joined: Wed Mar 17, 2010 2:32 am
Thanked: 17 times

by this_time_i_will » Mon Apr 12, 2010 6:28 pm
yea solution is correct. How many minutes did u take to solve this. I took close to 3. :(
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Senior | Next Rank: 100 Posts
Posts: 50
Joined: Fri Dec 18, 2009 12:30 amFollowed by: 4 members
Thanked: 5 times
GMAT Score:700

by magizhan » Mon Apr 12, 2010 7:02 pm
Close to 2. Though I could arrive at the solution in less than a minute there was a confusion on why not 36. Needed a closer look at the question with more clarity to zero in on 12.

One more pointer is that 'largest number' question will mostly not have the largest number in the answer choices as the answer.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 65
Joined: Wed Nov 25, 2009 6:33 pm
Thanked: 3 times

by dxgamez » Mon Apr 12, 2010 7:46 pm
close to 1 min. from the qn, we should know that m can have multiple values. thus, we shud take the minimum multiple of 48.

option a and b are out since their squares doesnt even reach 48.

48 = 2^4 x 3

we can add a 3 to make 2^4 x 3^2 which is equal to 144. thus m would be 12.

m can then be 24, 36 as shown by magizhan..but the largest integer that divides all of them is 12.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1