It is currently 18 Oct 2017, 12:11

### 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

# If n is a positive integer and r is the remainder when 4 +

Author Message
Director
Joined: 06 Sep 2006
Posts: 734

Kudos [?]: 49 [0], given: 0

If n is a positive integer and r is the remainder when 4 + [#permalink]

### Show Tags

22 Jul 2007, 15:04
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 1 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If n is a positive integer and r is the remainder when 4 + 7n is divided by 3, what is the value of r?

(1) n + 1 is divisible by 3.
(2) n > 3

Kudos [?]: 49 [0], given: 0

Senior Manager
Joined: 28 Jun 2007
Posts: 454

Kudos [?]: 8 [0], given: 0

### Show Tags

22 Jul 2007, 15:21
A alone is sufficient.

4 + 7(3x-1) = 21x + 3. It will be always divisible by 3.

Second is clearly insuffiicent

Kudos [?]: 8 [0], given: 0

Manager
Joined: 27 May 2007
Posts: 128

Kudos [?]: 14 [0], given: 0

### Show Tags

22 Jul 2007, 15:58
ioiio wrote:
A alone is sufficient.

4 + 7(3x-1) = 21x + 3. It will be always divisible by 3.

Second is clearly insuffiicent

ioiio,
Could you show step by step how you set that up? I have trouble with this type of problem.

thanks

Kudos [?]: 14 [0], given: 0

Senior Manager
Joined: 28 Jun 2007
Posts: 454

Kudos [?]: 8 [0], given: 0

### Show Tags

22 Jul 2007, 16:33
Robin in NC wrote:
ioiio wrote:
A alone is sufficient.

4 + 7(3x-1) = 21x + 3. It will be always divisible by 3.

Second is clearly insuffiicent

ioiio,
Could you show step by step how you set that up? I have trouble with this type of problem.

thanks

From A, n + 1 is divisible by 3.
So n+1 = 3x. x is an unknown integer.
so n = 3x-1.

4 + 7 (3x -1) = 21x - 3.
Dividing it by 3
It reduces to 7x - 1 and you can see that there cant be any reminder when x is an integer.

Hope that helps.

Kudos [?]: 8 [0], given: 0

22 Jul 2007, 16:33
Display posts from previous: Sort by