GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 20 Sep 2018, 13:30

### 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

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

Author Message
TAGS:

### Hide Tags

Manager
Joined: 06 Apr 2010
Posts: 133
What is the remainder when the positive integer n is divided  [#permalink]

### Show Tags

26 Sep 2010, 11:44
2
00:00

Difficulty:

15% (low)

Question Stats:

76% (01:03) correct 24% (01:14) wrong based on 229 sessions

### HideShow timer Statistics

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
Math Expert
Joined: 02 Sep 2009
Posts: 49271

### Show Tags

26 Sep 2010, 11:53
1
1
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: 1776
Location: United States (NC)
Concentration: Strategy, Finance
Schools: UNC (Kenan-Flagler) - Class of 2013
GMAT 1: 720 Q49 V39
WE: Programming (Computer Software)

### 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
_________________

Director
Joined: 03 Aug 2012
Posts: 811
Concentration: General Management, General Management
GMAT 1: 630 Q47 V29
GMAT 2: 680 Q50 V32
GPA: 3.7
WE: Information Technology (Investment Banking)
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
_____________________________________________________________________________

Non-Human User
Joined: 09 Sep 2013
Posts: 8105
Re: What is the remainder when the positive integer n is divided  [#permalink]

### Show Tags

06 Jul 2018, 23:13
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 &nbs [#permalink] 06 Jul 2018, 23:13
Display posts from previous: Sort by

# Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne 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®.