Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 29 May 2017, 21:56

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
Senior Manager
Joined: 30 May 2005
Posts: 276
Followers: 1

Kudos [?]: 40 [0], given: 0

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

Show Tags

03 Aug 2005, 06:35
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 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

plz why b is sufficient thanks
Manager
Joined: 28 Aug 2004
Posts: 205
Followers: 1

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

Show Tags

03 Aug 2005, 07:12
n+1=3k+2

==>n=3k+1 ==> rem is 1
Director
Joined: 27 Dec 2004
Posts: 899
Followers: 1

Kudos [?]: 46 [0], given: 0

Show Tags

03 Aug 2005, 07:18
Stmt 1 is insufficient because n = 2k + 1 means n is odd. However we cannot conclude the remainder when n is divided by 3 simply by knowing n is odd. E.g. if n = 5, 5/3 = 2. if n = 7, 7/3 = 1. So insuff

Stmt 2 says n + 1 = 3k + 2; n = 3k + 1
This tells us the remainder when n is divided by 3 = 1
so sufficient
Senior Manager
Joined: 04 May 2005
Posts: 279
Location: CA, USA
Followers: 1

Kudos [?]: 57 [0], given: 0

Show Tags

03 Aug 2005, 16:26
B

1) The remainder when n is divided by 2 is 1

=> we know n is an odd number, but cannot decide what will be remainder
after divided by 3

2.) The remainder when n+1 is divided by 3 is 2

=> from n+1 divided by 3, remainder is 2, we know n has to be: 3K+1, therefore remainder is 1

==========
What is the remainder of -2 divided by 3 ?
Senior Manager
Joined: 29 Nov 2004
Posts: 483
Location: Chicago
Followers: 1

Kudos [?]: 29 [0], given: 0

Show Tags

03 Aug 2005, 17:07
From conditon 1 n = 2x+1 insufficient

From COnditon 2 n = 3y + 5 , surely not divisible by 3.
_________________

Fear Mediocrity, Respect Ignorance

Senior Manager
Joined: 29 Nov 2004
Posts: 483
Location: Chicago
Followers: 1

Kudos [?]: 29 [0], given: 0

Show Tags

03 Aug 2005, 17:09
qpoo wrote:
B

1) The remainder when n is divided by 2 is 1

=> we know n is an odd number, but cannot decide what will be remainder
after divided by 3

2.) The remainder when n+1 is divided by 3 is 2

=> from n+1 divided by 3, remainder is 2, we know n has to be: 3K+1, therefore remainder is 1

==========
What is the remainder of -2 divided by 3 ?

We get reminder of -2, -2 = (3*0)-2
_________________

Fear Mediocrity, Respect Ignorance

Senior Manager
Joined: 04 May 2005
Posts: 279
Location: CA, USA
Followers: 1

Kudos [?]: 57 [0], given: 0

Show Tags

03 Aug 2005, 17:34
thanks ranga,

the remainder of -2 divided by 3, can I also say:

We get reminder of 1, -2 = (-1*3)+1 ?

I guess it depends on if we allow remainder to be negative.
Senior Manager
Joined: 29 Nov 2004
Posts: 483
Location: Chicago
Followers: 1

Kudos [?]: 29 [0], given: 0

Show Tags

03 Aug 2005, 18:29
qpoo wrote:
thanks ranga,

the remainder of -2 divided by 3, can I also say:

We get reminder of 1, -2 = (-1*3)+1 ?

I guess it depends on if we allow remainder to be negative.

Two reminders for one division...You got me there..
_________________

Fear Mediocrity, Respect Ignorance

Manager
Joined: 06 Aug 2005
Posts: 197
Followers: 3

Kudos [?]: 13 [0], given: 0

Show Tags

06 Aug 2005, 22:39
The remainder of -2 divided by 3 is 1.

Remainders should be 0<= r <= q-1

for a = bq + r
Intern
Joined: 07 May 2005
Posts: 12
Location: Pune
Followers: 0

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

Show Tags

07 Aug 2005, 03:46
B. 2nd condition is sufficient.
The question specifically asks for positive integer n

Vik
07 Aug 2005, 03:46
Display posts from previous: Sort by