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

 It is currently 24 Sep 2018, 22:25

### 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

# Is A multiple of 6?

Author Message
TAGS:

### Hide Tags

Intern
Joined: 24 Jul 2012
Posts: 13
Schools: Schulich '16
GMAT 1: 610 Q49 V26
WE: Consulting (Consulting)
Is A multiple of 6?  [#permalink]

### Show Tags

17 Sep 2012, 05:50
1
3
00:00

Difficulty:

45% (medium)

Question Stats:

67% (01:49) correct 33% (01:39) wrong based on 286 sessions

### HideShow timer Statistics

Is A multiple of 6?

(1) A = B(B+4)(B-4)
(2) B-4 is a multiple of 3.
Manager
Status: Fighting hard
Joined: 04 Jul 2011
Posts: 63
GMAT Date: 10-01-2012
Re: Is A multiple of 6?  [#permalink]

### Show Tags

17 Sep 2012, 06:01
1
Is A =6K ?

Statement 1 - A = (B-4)(B)(B+4)
B= 4, A =0 ----> No, A is not a multiple of 6
B= 6, A =(2)(6)(10) -----> Yes, A is a multiple of 6

Statement 2 - B is a multiple of 3 - B has no relationship with A.

Combined Statement 1 + Statement 2
B=6, As seen above "A" is a multiple of 6
B=9, A =(5)(9)(13) ----> No, A is not a multiple of 6

_________________

I will rather do nothing than be busy doing nothing - Zen saying

Math Expert
Joined: 02 Sep 2009
Posts: 49438
Re: Is A multiple of 6?  [#permalink]

### Show Tags

17 Sep 2012, 08:53
2
2
Is A multiple of 6?

(1) A = B(B+4)(B-4). If $$B=odd$$, then $$A=B(B+4)(B-4)=odd*odd*odd=odd$$ and the answer is NO but if $$B=6$$, then the answer is obviously YES. Not sufficient.

(2) B-4 is a multiple of 3. B is 4 more than a multiple of 3. Not sufficient, since no info about A.

(1)+(2) From (2) we have that B is 4 more than a multiple of 3 and from (1) that $$A=B(B+4)(B-4)$$. If $$B=odd$$ (for example if $$B=7$$), then the answer is NO but if $$B=4$$, then $$A=B(B+4)(B-4)=0$$ and the answer is YES (since zero is a multiple of all integers except zero itself). Not sufficient.

Hope it helps.
_________________
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 12450
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: Is A multiple of 6?  [#permalink]

### Show Tags

23 Jan 2015, 12:52
Hi All,

The approach that Pansi used (TESTing VALUES) is perfect for this question and the ultimate answer IS correct.

HOWEVER, I do want to point out one error in that particular explanation....

We're asked if A is a multiple of 6. This is YES/NO question.

Fact 1: A = B(B+4)(B-4)

IF....
B = 4
A = (4)(8)(0) = 0
0 IS a multiple of EVERYTHING, so the answer to the question is YES (not NO, as written).

IF....
B = 5
A = (5)(9)(1) = 45
45 is NOT a multiple of 6, so the answer to the question is NO.

So Fact 1 IS INSUFFICIENT, but not for the reason that Pansi originally stated.

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

# Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save \$75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

CEO
Joined: 12 Sep 2015
Posts: 2901
Is A multiple of 6?  [#permalink]

### Show Tags

Updated on: 28 May 2016, 14:26
1
Sunil01 wrote:
IS A multiple of 6 ?

1) A = B(B+4)(B-4)
2) B-4 is a multiple of 3

Target question: Is A multiple of 6 ?

Statement 1: A = B(B+4)(B-4)
Since we're not told whether or not A and B are integers, this one seems insufficient.
If B = 6 then we have A = (6)(something)(something) and this means A is definitely divisible by 6.
However, if B = 1.4993949349394994, I know right away that A is not even an integer, which means A is definitely NOT divisible by 6.
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: B-4 is a multiple of 3
Since there's no related information about A, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
Test some values of B that satisfy statement 2. Here are two:
Case a: B = 7, in which case A = 7(7+4)(7-4) = (7)(11)(3) = some ODD integer. Here, we can see that A is NOT divisible by 6
Case b: B = 10, in which case A = 10(10+4)(10-4) = (10)(14)(6). Here, we can see that A IS divisible by 6
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Cheers,
Brent
_________________

Brent Hanneson – GMATPrepNow.com

Originally posted by GMATPrepNow on 07 Feb 2016, 09:32.
Last edited by GMATPrepNow on 28 May 2016, 14:26, edited 1 time in total.
Non-Human User
Joined: 09 Sep 2013
Posts: 8177
Re: Is A multiple of 6?  [#permalink]

### Show Tags

02 Jul 2018, 23:25
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: Is A multiple of 6? &nbs [#permalink] 02 Jul 2018, 23:25
Display posts from previous: Sort by

# Is A multiple of 6?

## Events & Promotions

 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®.