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

 It is currently 26 Sep 2018, 05:53

### 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

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

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

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 49534
n is a positive integer. What is the remainder when n is divided by 6?  [#permalink]

### Show Tags

01 Jul 2018, 21:38
1
2
00:00

Difficulty:

25% (medium)

Question Stats:

80% (01:14) correct 20% (01:46) wrong based on 63 sessions

### HideShow timer Statistics

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

(1) n is a multiple of 3.
(2) When n is divided by 2, the remainder is 1.

_________________
Intern
Joined: 09 Sep 2017
Posts: 3
Re: n is a positive integer. What is the remainder when n is divided by 6?  [#permalink]

### Show Tags

01 Jul 2018, 23:09
1
1) n = 3I
n= 0,3,6,9,12,15,18
r= x,x,0,3, 0, 3, 0

Thus Not Sufficient.

2) n=2I + 1
n= 1,3,5,7,9,11,13,15
r= x,x,x,1,3, 5, 1, 3

Thus Not Sufficient.

Combining - 3,9 and 15
Remainders - x,3 and 3

Therefore (C) is the answer
Math Expert
Joined: 02 Aug 2009
Posts: 6815
Re: n is a positive integer. What is the remainder when n is divided by 6?  [#permalink]

### Show Tags

02 Jul 2018, 00:54
n is a positive integer. What is the remainder when n is divided by 6?

(1) n is a multiple of 3.
so if n is EVEN number, it will leave a remainder 0 ....$$n=3*2x=6x$$
and if n is odd number, it will leave a remainder 3...$$n=3*(2x+1)=6x+3$$
insuff

(2) When n is divided by 2, the remainder is 1.
we do not know div by 3
insuff

combined..
we know n is not even and div by 3..
so remainder is 3
suff

C
_________________

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

Senior Manager
Joined: 21 Jan 2015
Posts: 347
Location: India
Concentration: Strategy, Marketing
GMAT 1: 620 Q48 V28
GMAT 2: 690 Q49 V35
WE: Sales (Consumer Products)
Re: n is a positive integer. What is the remainder when n is divided by 6?  [#permalink]

### Show Tags

02 Jul 2018, 01:00
Bunuel wrote:
n is a positive integer. What is the remainder when n is divided by 6?

(1) n is a multiple of 3.
(2) When n is divided by 2, the remainder is 1.

Ans: C

Reminder when n divided by 6
Stat:1) n is multiple of 3: we know every even multiple of 3 will leave reminder 0 when divided by 6 and every odd multiple of 3 will leave reminder 3 when divided by 6. (Not Sufficient to ans)

Stat:2) when n is divided by 2 reminder is 1: so n = 2I+1
means n= 1,3,5,7,9,11,13,15.... in this case when n divided by 6 reminder is 1,3,5,1,3,5... respectively so (Not Suffi.)

Together Stat :1 & 2) n is a multiple of 3 and leaves 1 as reminder when divided by 2 means all odd multiple of 3.
So n= 3, 9, 15 and so on.. reminder when n divided by 6 is 3,3,3,... respectively.. so [Sufficient]

Ans: C
_________________

--------------------------------------------------------------------
The Mind is Everything, What we Think we Become.
Kudos will encourage many others, like me.
Please Give Kudos !!
Thanks

Manager
Joined: 16 Jan 2018
Posts: 94
Location: New Zealand
Re: n is a positive integer. What is the remainder when n is divided by 6?  [#permalink]

### Show Tags

09 Jul 2018, 03:19
Bunuel wrote:
n is a positive integer. What is the remainder when n is divided by 6?

(1) n is a multiple of 3.
(2) When n is divided by 2, the remainder is 1.

n = 6x + R , where R<6. We need to find R.

1) n = 3T, does not give a definite value for R. Insufficient

2) n = 2y + 1, on multiplying b/s by 3, we get

3n = 6y + 3, can be modified to 3n - 2n = 6y + 3 - 2n which gives n = 6y + 3 - 2n. on its own statement 2 is also insufficient to solve for R

Combining 1) & 2) n = 6y + 3 - 2(3T) or n = 6y + 3 - 6(T) or n = 6(y - T) + 3, which is in the form of n = 6x + R so, R = 3, Sufficient. Answer is C.

Do give kudos if it helped.
Re: n is a positive integer. What is the remainder when n is divided by 6? &nbs [#permalink] 09 Jul 2018, 03:19
Display posts from previous: Sort by

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

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

## 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®.