Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 05 May 2015, 06:17

# Expecting Soon:

Wharton Round 3 Decisions.   |   Join Chat Room for Live Updates

### 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

# When positive integer N is divided by 4, the remainder is 3.

Author Message
TAGS:
CEO
Joined: 21 Jan 2007
Posts: 2764
Location: New York City
Followers: 9

Kudos [?]: 349 [0], given: 4

When positive integer N is divided by 4, the remainder is 3. [#permalink]  08 Nov 2007, 07:14
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
When positive integer N is divided by 4, the remainder is 3. Which of the following CAN BE a remainder of n/12?

2
40
82
10
11
Director
Joined: 13 Dec 2006
Posts: 521
Location: Indonesia
Followers: 6

Kudos [?]: 105 [0], given: 0

11 is the answer.... say n is 23, then 23/4 will have remainder 3 and 23/12 will have remainder 11.

Amardeep
Manager
Joined: 01 Nov 2007
Posts: 69
Followers: 1

Kudos [?]: 3 [0], given: 0

It is 11

the remainder of n/12 has to be less than 12 and odd

we have only one option = 11
SVP
Joined: 05 Jul 2006
Posts: 1519
Followers: 5

Kudos [?]: 115 [0], given: 39

When positive integer N is divided by 4, the remainder is 3. Which of the following CAN BE a remainder of n/12?

2
40
82
10
11

n = 4x+3

n = 12y+b

4x+3 = 12y+b

4x+3-12y = b ie: even+odd-even = odd

b is odd .............11 is the answer
Intern
Joined: 02 Dec 2007
Posts: 11
Followers: 0

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

Re: PS Remainder - EVEN vs ODD [#permalink]  02 Dec 2007, 07:17
The number is 4N + 3

so 4N + 3/12
N = 1 then remainder 7
N= 2 then remainder 11
N = 3 then remainder 3
N= 4 remainder 7
N= 5 remainder 11.
So the possible list of remianders are 3,7,11.
So the ans is E.
SVP
Joined: 21 Jul 2006
Posts: 1551
Followers: 8

Kudos [?]: 305 [0], given: 1

wow, interesting to see each person with a completely different approach to reach to the same answer. that's really cool.
SVP
Joined: 28 Dec 2005
Posts: 1583
Followers: 2

Kudos [?]: 88 [0], given: 2

Got E

given the stem, N must be an odd number.

Looking at n/12, the only way to get an odd number for n is to have an odd number as a remainder, because 12k always gives you an even number, and even + odd = odd
Similar topics Replies Last post
Similar
Topics:
16 When positive integer n is divided by 3, the remainder is 2 21 16 Mar 2009, 22:28
When positive integer n is divided by 3, the remainder is 2; 2 01 Jun 2008, 04:49
When positive integer n is divided by 3 the remainder is 2; 11 11 May 2008, 18:37
When a positive integer n is divided by 3, the remainder is 3 14 Jul 2007, 13:07
When positive integer n is divided by 3, the remainder is 2; 1 29 Jul 2006, 22:01
Display posts from previous: Sort by