Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 25 Jun 2016, 05:25

### 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 average (arithmetic mean) of the multiples of 6

Author Message
TAGS:

### Hide Tags

Intern
Joined: 24 Apr 2010
Posts: 27
Followers: 1

Kudos [?]: 48 [0], given: 6

The average (arithmetic mean) of the multiples of 6 [#permalink]

### Show Tags

28 May 2010, 13:57
00:00

Difficulty:

15% (low)

Question Stats:

75% (02:12) correct 25% (01:20) wrong based on 103 sessions

### HideShow timer Statistics

The average (arithmetic mean) of the multiples of 6 that are greater than 0 and less than 1,000 is

A. 499
B. 500
C. 501
D. 502
E. 503
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 33498
Followers: 5926

Kudos [?]: 73409 [2] , given: 9902

Re: The average (arithmetic mean) of the multiples of 6 [#permalink]

### Show Tags

28 May 2010, 14:16
2
KUDOS
Expert's post
1
This post was
BOOKMARKED
perseverant wrote:
The average (arithmetic mean) of the multiples of 6 that are greater than 0 and less than 1,000 is

499
500
501
502
503

Could someone explain what the quickest way to solve this is?
Thanks!

Multiples of 6 represent arithmetic progression (aka evenly spaced set). In any evenly spaced set the arithmetic mean (average) is equal to the median and can be calculated by the formula $$mean=median=\frac{a_1+a_n}{2}$$, where $$a_1$$ is the first term and $$a_n$$ is the last term.

First term is 6 and last term is 996 (the last even multiple of 3 below 1000). So $$mean=\frac{6+996}{2}=501$$.

_________________
Intern
Joined: 24 Apr 2010
Posts: 27
Followers: 1

Kudos [?]: 48 [0], given: 6

Re: The average (arithmetic mean) of the multiples of 6 [#permalink]

### Show Tags

28 May 2010, 14:56
Thank you! this is very helpful!

First term is 6 and last term is 996 (the last even multiple of 3 below 1000). So $$mean=\frac{6+996}{2}=501$$.
I assume you meant multiple of 6 instead of 3.
Math Expert
Joined: 02 Sep 2009
Posts: 33498
Followers: 5926

Kudos [?]: 73409 [0], given: 9902

Re: The average (arithmetic mean) of the multiples of 6 [#permalink]

### Show Tags

28 May 2010, 15:12
Expert's post
perseverant wrote:
Thank you! this is very helpful!

First term is 6 and last term is 996 (the last even multiple of 3 below 1000). So $$mean=\frac{6+996}{2}=501$$.
I assume you meant multiple of 6 instead of 3.

No. This is how I found the last multiple of 6 below 1000: it would be the last EVEN multiple of 3 (thus multiple of 6) below 1000 .
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 10172
Followers: 480

Kudos [?]: 124 [0], given: 0

Re: The average (arithmetic mean) of the multiples of 6 [#permalink]

### Show Tags

09 Nov 2014, 03:58
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: The average (arithmetic mean) of the multiples of 6   [#permalink] 09 Nov 2014, 03:58
Similar topics Replies Last post
Similar
Topics:
What is the average (arithmetic mean) of all the multiples of ten from 2 24 May 2016, 12:18
3 A is the average (arithmetic mean) of the first 7 multiples of 3 5 13 Dec 2015, 13:29
If the average (arithmetic mean) of x + 2, x + 4, and x + 6 is 0 5 03 Dec 2015, 05:59
What is the average (arithmetic mean) of all multiples of 10 2 13 Oct 2015, 11:10
3 The average (arithmetic mean) of 6 numbers is 8.5. When one 6 07 Feb 2014, 05:48
Display posts from previous: Sort by