consecutive integer : PS Archive
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 18 Jan 2017, 10:26

# STARTING SOON:

Open Admission Chat with MBA Experts of Personal MBA Coach - Join Chat Room to Participate.

### 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

# consecutive integer

Author Message
Intern
Joined: 02 Jan 2009
Posts: 9
Followers: 1

Kudos [?]: 2 [0], given: 1

### Show Tags

23 Jul 2009, 18:43
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 the sum of n consecutive integer is 0, which of the following must be true?
I. n is an even number
II. n is an odd number
III. The average (arithmetic mean) of the integers is 0

I
II
III
I & II
II & III

OA is E

My answer is C. Please explain why statement II must be true.
n can be even -10, -6, -2, 2, 6, 10
n can be odd -4, -2, 0, 2, 4

Thanks.
Senior Manager
Joined: 04 Jun 2008
Posts: 303
Followers: 6

Kudos [?]: 134 [0], given: 15

### Show Tags

23 Jul 2009, 18:51
n is the number OF integers, not one of the several integers, and 0 will be one of them
Intern
Joined: 02 Jan 2009
Posts: 9
Followers: 1

Kudos [?]: 2 [0], given: 1

### Show Tags

23 Jul 2009, 18:57
rashminet84 wrote:
n is the number OF integers, not one of the several integers

I understand that n is the number of integers.

-10, -6, -2, 2, 6, 10 (n = 6, or EVEN)
-4, -2, 0, 2, 4 (n = 5, or ODD)

rashminet84 wrote:
and 0 will be one of them

please explain why 0 will be one of them ?
Senior Manager
Joined: 04 Jun 2008
Posts: 303
Followers: 6

Kudos [?]: 134 [0], given: 15

### Show Tags

23 Jul 2009, 19:06
Intern
Joined: 02 Jan 2009
Posts: 9
Followers: 1

Kudos [?]: 2 [0], given: 1

### Show Tags

23 Jul 2009, 19:21
rashminet84 wrote:

-10 (+4) -6 (+4) -2 (+4) 2 (+4) 6 (+4) 10
it's a consecutive of 4, is it not?
-9, -7, -5, -3, -1, 1, 3, 5, 7, 9 (N = 10, EVEN)
is it also not a consecutive integer?

Let me get this straight, so every consecutive integer must include a 0?

Last edited by investasi on 23 Jul 2009, 19:38, edited 1 time in total.
Senior Manager
Joined: 04 Jun 2008
Posts: 303
Followers: 6

Kudos [?]: 134 [0], given: 15

### Show Tags

23 Jul 2009, 19:26
a consecutive list means - 1,2,3,4,..........

or -3-2-1 0 1 2 3 4.5.........

list of consecutive EVEN integers

-4 -2 0 2 4 6 .......

list of ODD consecutive integers

-5-3-1 1 3 5 7......

now if the average of consecutive integers is 0, then 0 has to be the central number, because all the positive numbers will get cancelled by all the negatives, so there must be equal number of positives as the negatives on either side of 0, so zero has to be in center (median),
Intern
Joined: 02 Jan 2009
Posts: 9
Followers: 1

Kudos [?]: 2 [0], given: 1

### Show Tags

23 Jul 2009, 19:53
Okay got it. thanks

Btw, this question is from OG11 PS #201
Re: consecutive integer   [#permalink] 23 Jul 2009, 19:53
Display posts from previous: Sort by