What is the remainder when the positive integer x is divided : Quant Question Archive [LOCKED]
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 24 Jan 2017, 14:29

### 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

Author Message
VP
Joined: 22 Nov 2007
Posts: 1092
Followers: 8

Kudos [?]: 489 [0], given: 0

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

### Show Tags

26 Dec 2007, 08:31
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 wheen x is divided by 3, the remainder is 0
2. when x is divided by 12, the remainder is 3
Director
Joined: 12 Jul 2007
Posts: 862
Followers: 15

Kudos [?]: 286 [0], given: 0

### Show Tags

26 Dec 2007, 09:46
1. X is a multiple of 3 (3, 6, 9, 12, 15, etc) insufficient
2. X is 15+12y (15, 27, 39, 51, 63 etc) SUFFICIENT remainder is always 3

Manager
Joined: 01 Nov 2007
Posts: 82
Followers: 0

Kudos [?]: 6 [0], given: 0

### Show Tags

26 Dec 2007, 09:54
marcodonzelli 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 wheen x is divided by 3, the remainder is 0
2. when x is divided by 12, the remainder is 3

1. X is multiple of 3 AND odd - remainder is always 3 (9,15,21) Suff
2. X=15+12y=3+12(1+y) - remainder is always 3 Suff

Intern
Joined: 29 Aug 2007
Posts: 4
Followers: 0

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

### Show Tags

26 Dec 2007, 09:56
eschn3am wrote:
1. X is a multiple of 3 (3, 6, 9, 12, 15, etc) insufficient
2. X is 15+12y (15, 27, 39, 51, 63 etc) SUFFICIENT remainder is always 3

i believe that the answer is (E).
x could be all of those numbers that uve mentioned but we still need to find x to determine the remainder when, x is divided by 6, which is not sufficiently answered neither by 1 nor 2.

Cheers
VP
Joined: 22 Nov 2007
Posts: 1092
Followers: 8

Kudos [?]: 489 [0], given: 0

### Show Tags

26 Dec 2007, 10:03
OA is D guys...explanations???
Director
Joined: 12 Jul 2007
Posts: 862
Followers: 15

Kudos [?]: 286 [0], given: 0

### Show Tags

26 Dec 2007, 10:05
cstefanita wrote:
marcodonzelli 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 wheen x is divided by 3, the remainder is 0
2. when x is divided by 12, the remainder is 3

1. X is multiple of 3 AND odd - remainder is always 3 (9,15,21) Suff
2. X=15+12y=3+12(1+y) - remainder is always 3 Suff

aah, forgot about the first part of 1. answer is definitely D.

and we don't need to know EXACTLY what number X is because the remainder when divided by 6 is always 3. that's all we need to know.
VP
Joined: 22 Nov 2007
Posts: 1092
Followers: 8

Kudos [?]: 489 [0], given: 0

### Show Tags

26 Dec 2007, 10:57
Look at this....

from 1. we know that: x/2=q + 1/2, where q is the quotient and 1 the remainder. we also know that x/3=q, so lt's substitute and obtain 3/6*x=2/6*x + 3/6...3 is the remainder

from 2. x/12=q + 3/12..let's multiply by 2: 2x/6=q + 3/6.....the remainder is 3

is that crazy???
Re: remainder   [#permalink] 26 Dec 2007, 10:57
Display posts from previous: Sort by