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

 It is currently 20 Oct 2019, 20:46

### 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

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

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

Author Message
Director
Status: Manager
Joined: 27 Oct 2018
Posts: 682
Location: Egypt
GPA: 3.67
WE: Pharmaceuticals (Health Care)
If A and B are positive integers and A^3 is divisible by 24  [#permalink]

### Show Tags

24 Dec 2018, 13:58
1
00:00

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
Math Expert
Joined: 02 Aug 2009
Posts: 7992
Re: If A and B are positive integers and A^3 is divisible by 24  [#permalink]

### Show Tags

24 Dec 2018, 20:13
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
_________________
Re: If A and B are positive integers and A^3 is divisible by 24   [#permalink] 24 Dec 2018, 20:13
Display posts from previous: Sort by