Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 21 Jul 2019, 12:19

### 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

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

Author Message
TAGS:

### Hide Tags

Intern
Joined: 24 Apr 2010
Posts: 26
The average (arithmetic mean) of the multiples of 6  [#permalink]

### Show Tags

28 May 2010, 13:57
1
5
00:00

Difficulty:

15% (low)

Question Stats:

79% (01:49) correct 21% (02:08) wrong based on 203 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
Math Expert
Joined: 02 Sep 2009
Posts: 56307
Re: The average (arithmetic mean) of the multiples of 6  [#permalink]

### Show Tags

28 May 2010, 14:16
4
3
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 $$mean=\frac{6+996}{2}=501$$.

_________________
##### General Discussion
Intern
Joined: 24 Apr 2010
Posts: 26
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: 56307
Re: The average (arithmetic mean) of the multiples of 6  [#permalink]

### Show Tags

28 May 2010, 15:12
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 .
_________________
Director
Status: Come! Fall in Love with Learning!
Joined: 05 Jan 2017
Posts: 541
Location: India
Re: The average (arithmetic mean) of the multiples of 6  [#permalink]

### Show Tags

27 Feb 2017, 06:33
First term is 6 and last term is 996
Sum of an AP is {n( first term + last term)}/2
Average = {n( first term + last term)}/2n
= ( first term + last term)/2
= (6 + 996)/2
= 501. Option C
_________________
GMAT Mentors
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2822
Re: The average (arithmetic mean) of the multiples of 6  [#permalink]

### Show Tags

01 Mar 2017, 18:19
1
perseverant wrote:
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

Since we have an evenly spaced set, we can use the following average formula:

average = (first term in the set + last term in the set)/2

The first multiple of 6 in the set is 6 and the last multiple of 6 is 996. Thus:

average = (6 + 996)/2 = 1002/2 = 501

_________________

# Jeffrey Miller

Jeff@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Non-Human User
Joined: 09 Sep 2013
Posts: 11721
Re: The average (arithmetic mean) of the multiples of 6  [#permalink]

### Show Tags

26 Nov 2018, 10:37
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] 26 Nov 2018, 10:37
Display posts from previous: Sort by