GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 16 Jan 2019, 10:57

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 in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • The winning strategy for a high GRE score

     January 17, 2019

     January 17, 2019

     08:00 AM PST

     09:00 AM PST

    Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.
  • Free GMAT Strategy Webinar

     January 19, 2019

     January 19, 2019

     07:00 AM PST

     09:00 AM PST

    Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

If A and B are positive integers and A^3 is divisible by 24

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Manager
Manager
User avatar
G
Status: Manager
Joined: 27 Oct 2018
Posts: 97
Location: Malaysia
Concentration: Strategy, International Business
GPA: 3.67
WE: Pharmaceuticals (Health Care)
GMAT ToolKit User
If A and B are positive integers and A^3 is divisible by 24  [#permalink]

Show Tags

New post 24 Dec 2018, 12:58
1
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

75% (01:44) correct 25% (02:11) wrong based on 4 sessions

HideShow timer Statistics

If A and B are positive integers and \(A^3\) is divisible by 24, then is \(AB^2\) a multiple of 216?

(1) B is a multiple of 6

(2) B is divisible by 30

_________________

...Thanks for KUDOS
Image

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7199
Re: If A and B are positive integers and A^3 is divisible by 24  [#permalink]

Show Tags

New post 24 Dec 2018, 19:13
If A and B are positive integers and \(A^3\) is divisible by 24, then is \(AB^2\) a multiple of 216?

If A^3 is divisible by 24, that is \(2^3*3\), so A will be divisible by 2*3=6..
Now we are looking for AB^2 is divisible by 216, that is \(2^3*3^3\)..
Since A is divisible by atleast a 6, we are looking if B^2 is divisible by 216/6=36=6^2, or is B divisible by 6...

(1) B is a multiple of 6
Yes sufficient..

(2) B is divisible by 30
Again B is divisible by 6..
Yes sufficient

D
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

GMAT Club Bot
Re: If A and B are positive integers and A^3 is divisible by 24 &nbs [#permalink] 24 Dec 2018, 19:13
Display posts from previous: Sort by

If A and B are positive integers and A^3 is divisible by 24

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.