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

 It is currently 16 Oct 2018, 22:20

### 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

# If the positive integer a is a multiple of 12 and the positive integer

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 49916
If the positive integer a is a multiple of 12 and the positive integer  [#permalink]

### Show Tags

25 Sep 2018, 05:36
00:00

Difficulty:

45% (medium)

Question Stats:

64% (02:00) correct 36% (02:23) wrong based on 27 sessions

### HideShow timer Statistics

If the positive integer a is a multiple of 12 and the positive integer b is a multiple of 14, is $$a^2b$$ a multiple of 216?

(1) a is a multiple of 16.
(2) b is a multiple of 12.

_________________
CEO
Joined: 08 Jul 2010
Posts: 2537
Location: India
GMAT: INSIGHT
WE: Education (Education)
Re: If the positive integer a is a multiple of 12 and the positive integer  [#permalink]

### Show Tags

25 Sep 2018, 08:33
Bunuel wrote:
If the positive integer a is a multiple of 12 and the positive integer b is a multiple of 14, is $$a^2b$$ a multiple of 216?

(1) a is a multiple of 16.
(2) b is a multiple of 12.

a has $$2^2*3$$ and b has $$2*7$$
i.e.$$a^2*b$$ will have $$2^3*3^2*7$$

$$216 = 2^3*3^3$$

i.e. all we need to know is whether b also has another prime factor 3 or not

[u]Question: is $$a^2b$$ a multiple of 216?[/u]

Statement 1: a is a multiple of 16.

NOT SUFFICIENT

Statement 2: b is a multiple of 12.
i.e. b is a multiple of 3 as well
SUFFICIENT

Answer: Option B
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Re: If the positive integer a is a multiple of 12 and the positive integer &nbs [#permalink] 25 Sep 2018, 08:33
Display posts from previous: Sort by

# If the positive integer a is a multiple of 12 and the positive integer

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

 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®.