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

 It is currently 01 May 2016, 07:34

### 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 n is divided

Author Message
TAGS:

### Hide Tags

Manager
Joined: 06 Apr 2010
Posts: 141
Followers: 3

Kudos [?]: 436 [0], given: 15

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

### Show Tags

26 Sep 2010, 11:44
00:00

Difficulty:

15% (low)

Question Stats:

74% (01:00) correct 26% (01:16) wrong based on 148 sessions

### HideShow timer Statictics

What is the remainder when the positive integer n is divided by 3?

(1) The remainder when n is divided by 2 is 1.
(2) The remainder when n + 1 is divided by 3 is 2
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 32549
Followers: 5634

Kudos [?]: 68362 [1] , given: 9797

### Show Tags

26 Sep 2010, 11:53
1
KUDOS
Expert's post
1
This post was
BOOKMARKED
What is the remainder when the positive integer n is divided by 3?

(1) The remainder when n is divided by 2 is 1 --> $$n=2k+1$$, just tells us that $$n$$ is odd. Not sufficient.

(2) The remainder when n + 1 is divided by 3 is 2 --> $$n+1=3q+2$$ --> $$n=3q+1$$, hence $$n$$ divided by 3 yields remainder of 1. Sufficient.

_________________
Current Student
Joined: 12 Jun 2009
Posts: 1847
Location: United States (NC)
Concentration: Strategy, Finance
Schools: UNC (Kenan-Flagler) - Class of 2013
GMAT 1: 720 Q49 V39
WE: Programming (Computer Software)
Followers: 22

Kudos [?]: 228 [0], given: 52

### Show Tags

26 Sep 2010, 13:27
udaymathapati wrote:
What is the remainder when the positive integer n is divided by 3?
(1) The remainder when n is divided by 2 is 1.
(2) The remainder when n + 1 is divided by 3 is 2

Lets take another approach if you couldnt derive what bunnel did.

1. remainder n/2 =1
lets try some numbers:
n=3 remainder =1 n/3 remainder =0
n=5 remainder = 1 5/3 remainder =2
So NO FOOD

2.
n=4 n+1 =5 5/3 =2 4/3 =1
n=7 n+1=8 8/3=2 7/3 =1

Notice how the trend is every 3 for n. so it is working correctly

B
_________________

Current Student
Joined: 03 Aug 2012
Posts: 915
Concentration: General Management, General Management
GMAT 1: 630 Q47 V29
GMAT 2: 680 Q50 V32
GPA: 3.7
WE: Information Technology (Investment Banking)
Followers: 19

Kudos [?]: 518 [0], given: 322

Re: What is the remainder when the positive integer n is divided [#permalink]

### Show Tags

15 Aug 2013, 22:02
n=3A+r

What is r?

(1).

n=2B+1 => N is odd but odd numbers also can give different remainders when divided by 3 .
INSUFFICIENT

(2).

n+1 = 3C +2
n= 3C +1

REM=1

Hence (B) it is !!
_________________

Rgds,
TGC!
_____________________________________________________________________
I Assisted You => KUDOS Please
_____________________________________________________________________________

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 9246
Followers: 454

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

Re: What is the remainder when the positive integer n is divided [#permalink]

### Show Tags

03 Feb 2016, 12:36
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: What is the remainder when the positive integer n is divided   [#permalink] 03 Feb 2016, 12:36
Similar topics Replies Last post
Similar
Topics:
11 What is the remainder when the positive integer n is divided 9 14 Oct 2012, 04:46
19 What is the remainder when the positive integer n is divided 11 18 Sep 2011, 19:19
18 What is the remainder when the positive integer n is divided 10 25 Jun 2010, 23:42
1 What is the remainder when the positive integer n is divided 8 17 Nov 2009, 10:50
24 What is the remainder when the positive integer n is divided 17 10 May 2009, 21:09
Display posts from previous: Sort by