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

 It is currently 24 May 2017, 03:55

### 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

# The remainder when n is divided by 8 is 1. What is the

Author Message
Intern
Joined: 13 Mar 2006
Posts: 9
Location: Vancouver
Followers: 0

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

The remainder when n is divided by 8 is 1. What is the [#permalink]

### Show Tags

03 May 2006, 12:52
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

The remainder when n is divided by 8 is 1. What is the remainder when 3n is divided by 8?

n=8k+1
3n=3*8k+3

....so remainder is 3

If the above is true, help me understand this one:

The remainder when n is divided by 2 is 1. What is the remainder when 3n is divided by 2?

n=2k+1
3n=3*2k+3

....the answer I was given for the remainder is 1? Why is that?
Director
Joined: 04 Jan 2006
Posts: 922
Followers: 1

Kudos [?]: 35 [0], given: 0

### Show Tags

03 May 2006, 13:58
I plug in values for these.. because i tend to make mistakes easily if i dont plug in..

i try out 3-4 numbers.
9/8, 17/8, 25/8

And check out with 3n/8 now
27/8, 51/8, 75/8
also try negative values if you want!
Director
Joined: 16 Aug 2005
Posts: 940
Location: France
Followers: 1

Kudos [?]: 23 [0], given: 0

### Show Tags

03 May 2006, 16:35
sideslip - This is because when you are diviging a number by 8, remainders can be 0,1,2,3,4...7

But when you are dividing a number by 2, remainder can only be 0 or 1

So here:
n=2k+1
3n=3*2k+3

remainder is 3 (per the example above), but 3 is divisible by 2 with a remainder of 1

GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5045
Location: Singapore
Followers: 31

Kudos [?]: 376 [0], given: 0

### Show Tags

03 May 2006, 17:59
For the first part,

n can be written as n = 8x + 1 where x is any integer. Therefore, 3n = 24x + 3.

3n/8 = (24x+3)/8 = 3x + R3.

For the second part,

n can be written as n = 2x + 1 where x is any integer. Therefore 3n = 6x + 3.

3n/2 = (6x+3)/2 = (3x + 1) + R1.
03 May 2006, 17:59
Display posts from previous: Sort by