Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 28 May 2017, 18:21

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# What is the remainder when the positive integer x is divided

 post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
VP
Joined: 09 Jul 2007
Posts: 1100
Location: London
Followers: 6

Kudos [?]: 110 [0], given: 0

What is the remainder when the positive integer x is divided [#permalink]

### Show Tags

10 Aug 2007, 18:02
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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

1) when x is divided by 2, the remainder is 1 and when x is divided by 3 the remainder is 0

2) when x is divided by 12 the remainder is 3

thanks
Manager
Joined: 27 May 2007
Posts: 128
Followers: 1

Kudos [?]: 10 [1] , given: 0

Re: i cannot remember the OA [#permalink]

### Show Tags

10 Aug 2007, 18:44
1
KUDOS
Ravshonbek wrote:
What is the remainder when the positive integer x is divided by 6?

1) when x is divided by 2, the remainder is 1 and when x is divided by 3 the remainder is 0

2) when x is divided by 12 the remainder is 3

thanks

D - both are sufficient
stmt 1 - x is multiple of 3 but not of 2, therefore x is not a multiple of 6. Every multiple of 3 (if not a multiple of 6, therefore every odd multiple of 3), when divided by 6, has a remainder of 3. Sufficient

Stmt 2 - if x/12 has a remainder of 3, then x/6 would also have a remainder of 3. The quotient would be different (twice) but the remainder would be the same. Sufficient
Senior Manager
Joined: 29 Nov 2006
Posts: 320
Location: Orange County, CA
Followers: 1

Kudos [?]: 127 [0], given: 0

### Show Tags

11 Aug 2007, 00:29
Quote:
What is the remainder when the positive integer x is divided by 6?

1) when x is divided by 2, the remainder is 1 and when x is divided by 3 the remainder is 0

2) when x is divided by 12 the remainder is 3

thanks

I'll vote for D.

Statement 1:
x=2n+1; x: 0, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21
x=3n; x: 3, 6, 9, 12, 15, 18, 21...
values that match both sets: 3, 9, 15, 21...
if x/6, remainder = 3, 3, 3, 3
Sufficient.

Statement 2:
x=12n+3; tells me x:15, 27, 39, 51, 63...
when x/6, remainder is: 3, 3, 3, 3, 3...
Sufficient.
11 Aug 2007, 00:29
Display posts from previous: Sort by

# What is the remainder when the positive integer x is divided

 post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group and phpBB SEO 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®.