It is currently 20 Nov 2017, 18:06

### 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 positive integer x is divided by

Author Message
Intern
Joined: 18 Jul 2008
Posts: 34

Kudos [?]: 8 [0], given: 0

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

### Show Tags

12 Aug 2008, 10:28
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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

1. When x is divided by 2, the remainder is 1; and when divided by 3, the remainder is 0.
2. when x is divided by 12 the remainder is 3.

Kudos [?]: 8 [0], given: 0

SVP
Joined: 30 Apr 2008
Posts: 1863

Kudos [?]: 623 [0], given: 32

Location: Oklahoma City
Schools: Hard Knocks
Re: DS - positive integer [#permalink]

### Show Tags

12 Aug 2008, 10:38
D.

#1 - The set that satisfies remainder of 1 when x is divided by 2 is:
{1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33...[all odd numbers]}
The red numbers above are the ones that satisfy remainder of 1 when it is divided by 2 and remainder of 0 when divided by 3.

Now, for those numbers in red, what is the remainder when it is divided by 6? The remainder is always 3. So #1 is SUFFICIENT.

#2 - when x is divided by 12, the remainder is 3...the set that satisfies this is below:
{ 3, 15, 27, 39, 51...}
If you divide each of these by 6, what is the remainder? It's always 3. 3/6 = remainder of 3. 15 / 6 = 2 3/6. #2 is SUFFICIENT.

mba9now wrote:
What is the remainder when positive integer x is divided by 6 ?

1. When x is divided by 2, the remainder is 1; and when divided by 3, the remainder is 0.
2. when x is divided by 12 the remainder is 3.

_________________

------------------------------------
J Allen Morris
**I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a\$\$.

GMAT Club Premium Membership - big benefits and savings

Kudos [?]: 623 [0], given: 32

Re: DS - positive integer   [#permalink] 12 Aug 2008, 10:38
Display posts from previous: Sort by