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

 It is currently 19 Aug 2019, 22:28

### 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

# What is the remainder when the positive integer n is divided by 6?

Author Message
TAGS:

### Hide Tags

Intern
Joined: 27 Sep 2012
Posts: 3
What is the remainder when the positive integer n is divided by 6?  [#permalink]

### Show Tags

14 Oct 2012, 04:46
3
18
00:00

Difficulty:

5% (low)

Question Stats:

88% (00:54) correct 12% (00:56) wrong based on 620 sessions

### HideShow timer Statistics

What is the remainder when the positive integer n is divided by 6?

(1) n is multiple of 5
(2) n is a multiple of 12
Math Expert
Joined: 02 Sep 2009
Posts: 57083
Re: What is the remainder when the positive integer n is divided by 6?  [#permalink]

### Show Tags

14 Oct 2012, 04:53
11
3
What is the remainder when the positive integer n is divided by 6?

(1) n is multiple of 5. If n=5, then n yields the remainder of 5 when divided by 6 but if n=10, then n yields the remainder of 4 when divided by 6. We already have two different answers, which means that this statement is not sufficient.

(2) n is a multiple of 12. Every multiple of 12 is also a multiple of 6, thus n divided by 6 yields the remainder of 0. Sufficient.

Hope it's clear.
_________________
##### General Discussion
Math Expert
Joined: 02 Sep 2009
Posts: 57083
Re: What is the remainder when the positive integer n is divided by 6?  [#permalink]

### Show Tags

14 Oct 2012, 04:55
1
1
co801dw wrote:
What is the remainder when the positive integer n is divided by 6?

(1) n is multiple of 5
(2) n is a multiple of 12

* this is a question fromt the GMATprep test 1. Can someone please kindly provide solution and explanation?

Thanks

Check our question banks (viewforumtags.php) for more questions on remainders.

DS questions on remainders: search.php?search_id=tag&tag_id=198
PS questions on remainders: search.php?search_id=tag&tag_id=199

Hope it helps.
_________________
Intern
Joined: 27 Sep 2012
Posts: 3
Re: What is the remainder when the positive integer n is divided by 6?  [#permalink]

### Show Tags

14 Oct 2012, 04:57
Thanks a lot for the resources! Will do!
Director
Joined: 03 Aug 2012
Posts: 687
Concentration: General Management, General Management
GMAT 1: 630 Q47 V29
GMAT 2: 680 Q50 V32
GPA: 3.7
WE: Information Technology (Investment Banking)
Re: What is the remainder when the positive integer n is divided by 6?  [#permalink]

### Show Tags

10 Aug 2013, 08:48
(1).

N=5A N can be 5,10,15,20,25 .... Now these values have different remainders when divided by 6 hence Insufficient

(2).

N= 12B = > N => 6 (2B) = > N = 6C .... Hence Remainder when N is divided by '6' is '0' => Sufficient

Hence (B) !!
Intern
Joined: 29 Aug 2013
Posts: 12
Re: What is the remainder when the positive integer n is divided by 6?  [#permalink]

### Show Tags

21 Dec 2013, 18:58
I need some clarification on the first statement...

I know the numbers go like this: 3, 9, 15.....

But when 3 is divided by 6...how is that a remainder of 3?
Math Expert
Joined: 02 Sep 2009
Posts: 57083
Re: What is the remainder when the positive integer n is divided by 6?  [#permalink]

### Show Tags

22 Dec 2013, 04:40
2
b00gigi wrote:
I need some clarification on the first statement...

I know the numbers go like this: 3, 9, 15.....

But when 3 is divided by 6...how is that a remainder of 3?

THEORY:
Positive integer $$a$$ divided by positive integer $$d$$ yields a reminder of $$r$$ can always be expressed as $$a=qd+r$$, where $$q$$ is called a quotient and $$r$$ is called a remainder, note here that $$0\leq{r}<d$$ (remainder is non-negative integer and always less than divisor).

For example positive integer n is divided by 25 yields the remainder of 13 can be expressed as: $$n=25q+13$$. Now, the lowest value of $$q$$ can be zero and in this case $$n=13$$ --> 13 divided by 25 yields the remainder of 13. Generally when divisor (25 in our case) is more than dividend (13 in our case) then the reminder equals to the dividend. For example:
3 divided by 24 yields a reminder of 3 --> $$3=0*24+3$$;
or:
5 divided by 6 yields a reminder of 5 --> $$5=0*6+5$$,
2 divided by 5 yields a reminder of 2 --> $$2=0*5+2$$.

Hope it's clear.
_________________
Current Student
Joined: 12 Aug 2015
Posts: 2604
Schools: Boston U '20 (M)
GRE 1: Q169 V154
Re: What is the remainder when the positive integer n is divided by 6?  [#permalink]

### Show Tags

22 Mar 2016, 02:44
take 5 and 10 as n and we can can easily discard statement 1
Now as per statement 2 => N=12p => 6x => remainder will be zero
hence B
_________________
Director
Joined: 26 Oct 2016
Posts: 624
Location: United States
Schools: HBS '19
GMAT 1: 770 Q51 V44
GPA: 4
WE: Education (Education)
Re: What is the remainder when the positive integer n is divided by 6?  [#permalink]

### Show Tags

26 Jan 2017, 18:34
1
Statement 1:
Options for n = 5, 10, 15, 20...
When 10 is divided by 6, the remainder is 4.
When 15 is divided by 6, the remainder is 3.
Since the remainder can be different values, INSUFFICIENT.

Statement 2:
Options for n = 12, 24, 36, 48...
When 12 is divided by 6, the remainder is 0.
When 24 is divided by 6, the remainder is 0.
When 36 is divided by 6, the remainder is is 0.
Since the remainder is the same in every case, SUFFICIENT.

_________________
Thanks & Regards,
Anaira Mitch
CEO
Joined: 12 Sep 2015
Posts: 3910
Re: What is the remainder when the positive integer n is divided by 6?  [#permalink]

### Show Tags

08 Feb 2019, 07:19
Top Contributor
co801dw wrote:
What is the remainder when the positive integer n is divided by 6?

(1) n is multiple of 5
(2) n is a multiple of 12

Target question: What is the remainder when the positive integer n is divided by 6?

Statement 1: n is multiple of 5
Let's TEST some values.
There are several values of n that satisfy statement 1. Here are two:
Case a: n = 10. In this case, the answer to the target question is the remainder is 4 when n is divided by 6
Case b: n = 15. In this case, the answer to the target question is the remainder is 3 when n is divided by 6
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: n is a multiple of 12
If n is a multiple of 12, then we can write: n = 12k for some integer k
If n = 12k, we can also write: n = (6)(2)k, which tells us n is a multiple of 6
If n is a multiple of 6, then n divided by 6 will leave remainder 0
So, the answer to the target question is the remainder is 0 when n is divided by 6
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
Re: What is the remainder when the positive integer n is divided by 6?   [#permalink] 08 Feb 2019, 07:19
Display posts from previous: Sort by