GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video
close
It is currently 22 Jun 2021, 21:43
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
New comers' posts

MBA Spotlight – Top 20 Virtual MBA Fair
June 14-30, 2021
Register Schedule
Super Wednesday:
INSEAD AdCom Live Q&A MIT Sloan AdCom Live Q&A Goizueta AdCom Live Q&A How to Pay for Your MBA Landing a Tech PM Job
Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
If m is a positive odd integer, what is the average (arithmetic mean)
10 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
Tags:
Find Similar Topics 

Show Tags
Hide Tags

avatar
rigger
Senior Manager
Senior Manager
Joined: 07 Jul 2005
Posts: 262
If m is a positive odd integer, what is the average (arithmetic mean) [#permalink] New post  Updated on: 17 Oct 2019, 03:52
1
Kudos
17
Bookmarks
Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

70% (01:24) correct 30% (01:23) wrong based on 655 sessions

Hide Show timer Statistics

If m is a positive odd integer, what is the average (arithmetic mean) of a certain set of m integers

(1) The integers in the set are consecutive multiples of 3.
(2) The median of the set of integers is 33
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

Originally posted by rigger on 24 Oct 2005, 22:54.
Last edited by Bunuel on 17 Oct 2019, 03:52, edited 2 times in total.
Edited the question and added the OA
Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
Most Helpful Expert Reply
User avatar
V
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 77369
Premium Member CAT Tests Top Member of the Month
Re: If m is a positive odd integer, what is the average (arithmetic mean) [#permalink] New post  02 Jul 2013, 00:37
8
Kudos
1
Bookmarks
Expert Reply
If m is a positive odd integer, what is the average (arithmetic mean) of a certain set of m integers

(1) The integers in the set are consecutive multiples of 3. Clearly insufficient. Consider: {0, 3, 6} and {3, 6, 9}. Not sufficient.

From this statement, though we can deduce that since the set is evenly spaced then its mean equals to its median.

(2) The median of the set of integers is 33. Also, insufficient. Consider: {31, 33, 35} and {31, 33, 133}. Not sufficient.

(1)+(2) From (1) we have that mean=median and from (2) we have that meidan=33, thus mean=median=33. Sufficient.

Answer: C.
_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
General Discussion
avatar
christoph
Director
Director
Joined: 30 Sep 2004
Posts: 900
Location: Germany
Re: If m is a positive odd integer, what is the average (arithmetic mean) [#permalink] New post  24 Oct 2005, 23:18
1
Kudos
1
Bookmarks
in a set of consecutive numbers the mean is equal to the median. hence, C)...
avatar
fozzzy
Director
Director
Joined: 29 Nov 2012
Posts: 631
Re: If m is a positive odd integer, what is the average (arithmetic mean) [#permalink] New post  02 Jul 2013, 00:19
1
Kudos
Statement 1 says

multiples of 3

so it can be 3,6,9 or 3,6,9,12,15

different mean's insufficient


Statement 2 says

33 is the middle value but we have no other info insufficient

Combined we know that 33 is the middle value so there are 10 terms on either side of 33

1st value is 3
11th value is 33
21st value is 63


---------33-------

So we can find out mean = median = 33 sufficient
User avatar
V
GMATinsight
GMAT Club Legend
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5645
Location: India
GMAT: QUANT EXPERT
Schools: IIM (A)
GMAT 1: 750 Q51 V41
WE:Education (Education)
Reviews Badge
Re: If m is a positive odd integer, what is the average (arithmetic mean) [#permalink] New post  28 Jul 2015, 07:04
Expert Reply
Bunuel wrote:
If m is a positive odd integer, what is the average (arithmetic mean) of a certain set of m integers?

(1) The integers in the set are consecutive multiples of 3.
(2) The median of the set of integers is 33.


Given : m is a positive Odd Integer

Question : Arithmetic Mean of a set of m Integers = ?

Statement 1: The integers in the set are consecutive multiples of 3.

If the Integers are set of Consecutive Multiples of 3 then They are definitely equally spaced (in Arithmetic Progression)

CONCEPT: Terms in Arimetic Progression (Equally spaced) have
Mean = Media = Middle term = Average of First and Last Term of the set

But since no information about first and Last term or median of the set or the number of terms is known so
NOT SUFFICIENT

Statement 2: The median of the set of integers is 33.
The media may be mean ONLY if the terms are equally spaced and are in Arithmetic progression But since it's unknown whether the terms in the set are equally spaced or not, Hence,
NOT SUFFICIENT

Combining the Two statements:
Statement 1 mentions that terms in the set are on Arithmetic Progression
Statement 2 mentions that Median = 33
We know that Mean = Median when terms are in AP. hence,
SUFFICIENT

Answer: option C
_________________
GMATinsight
Great Results (Q≥50 and V≥40) l Honest and Effective Admission Support l 100% Satisfaction !!!
One-on-One GMAT Skype classes l On-demand Quant Courses and Pricing l Admissions Consulting
Call/mail: +91-9999687183 l bhoopendra.singh@gmatinsight.com (for FREE Demo class/consultation)
SUCCESS STORIES: From 620 to 760 l Q-42 to Q-49 in 40 days l 590 to 710 + Wharton l GMAT730+ESCP
FREE Resources: 22 FULL LENGTH TESTS l OG QUANT 50 Qn+VIDEO Sol. l NEW:QUANT REVISION Topicwise Quiz
Signature Read More
avatar
rahulsnh
Intern
Intern
Joined: 30 Jul 2013
Posts: 8
WE:Engineering (Computer Software)
Re: If m is a positive odd integer, what is the average (arithmetic mean) [#permalink] New post  20 Oct 2015, 19:12
Bunuel wrote:
If m is a positive odd integer, what is the average (arithmetic mean) of a certain set of m integers

(1) The integers in the set are consecutive multiples of 3. Clearly insufficient. Consider: {0, 3, 6} and {3, 6, 9}. Not sufficient.

From this statement, though we can deduce that since the set is evenly spaced then its mean equals to its median.

(2) The median of the set of integers is 33. Also, insufficient. Consider: {31, 33, 35} and {31, 33, 133}. Not sufficient.

(1)+(2) From (1) we have that mean=median and from (2) we have that meidan=33, thus mean=median=33. Sufficient.

Answer: C.


Answer and solution apart, is there a contradiction between question stem and (1)?
m is a positive odd integer
Clearly, then such sets as {0, 3, 6} and {3, 6, 9} are not possible
Further, since sets are of consecutive multiples of 3, it can have only 1 element e.g. {3} or {9}
I'm only interested in knowing whether my interpretation is right since I agree with the solution given by you. Thanks in advance for your comments!
User avatar
V
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 77369
Premium Member CAT Tests Top Member of the Month
Re: If m is a positive odd integer, what is the average (arithmetic mean) [#permalink] New post  20 Oct 2015, 20:12
1
Kudos
Expert Reply
rahulsnh wrote:
Bunuel wrote:
If m is a positive odd integer, what is the average (arithmetic mean) of a certain set of m integers

(1) The integers in the set are consecutive multiples of 3. Clearly insufficient. Consider: {0, 3, 6} and {3, 6, 9}. Not sufficient.

From this statement, though we can deduce that since the set is evenly spaced then its mean equals to its median.

(2) The median of the set of integers is 33. Also, insufficient. Consider: {31, 33, 35} and {31, 33, 133}. Not sufficient.

(1)+(2) From (1) we have that mean=median and from (2) we have that meidan=33, thus mean=median=33. Sufficient.

Answer: C.


Answer and solution apart, is there a contradiction between question stem and (1)?
m is a positive odd integer
Clearly, then such sets as {0, 3, 6} and {3, 6, 9} are not possible
Further, since sets are of consecutive multiples of 3, it can have only 1 element e.g. {3} or {9}
I'm only interested in knowing whether my interpretation is right since I agree with the solution given by you. Thanks in advance for your comments!


No, your interpretation is not right.

Given: m is a positive odd integer.
Question: what is the average of a set of m integers.

So, we need to know the average of a set which has m integers in it (the number of element in the set is m, which is a positive odd integer). It does NOT mean that the set consists of positive odd integers.
_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
User avatar
B
LogicGuru1
Director
Director
Joined: 04 Jun 2016
Posts: 526
GMAT 1: 750 Q49 V43
Re: If m is a positive odd integer, what is the average (arithmetic mean) [#permalink] New post  15 Jul 2016, 09:31
rigger wrote:
If m is a positive odd integer, what is the average (arithmetic mean) of a certain set of m integers

(1) The integers in the set are consecutive multiples of 3.
(2) The median of the set of integers is 33


(1) The integers in the set are consecutive multiples of 3.
{3,6,9,12,15} or {3,6} or {-99,-96,-93,-90} ==> insufficient
(2) The median of the set of integers is 33
{1,23,33,55,99} or {1,2,3,4,5,} or {-88,33,1098}==> Insuficient

Marge both:- Sufficient
{first term=3,..........middle term=33,...........last term=63}

so the Median is 33; since the set contains consecutive multiples of 3 therefore mean = median = 33

ANSWER IS C
_________________
Posting an answer without an explanation is "GOD COMPLEX". The world doesn't need any more gods. Please explain you answers properly.
FINAL GOODBYE :- 17th SEPTEMBER 2016. .. 16 March 2017 - I am back but for all purposes please consider me semi-retired.
Signature Read More
User avatar
G
anairamitch1804
Director
Director
Joined: 26 Oct 2016
Posts: 539
Location: United States
Concentration: Marketing, International Business
Schools: HBS '19
GMAT 1: 770 Q51 V44
GPA: 4
WE:Education (Education)
Re: If m is a positive odd integer, what is the average (arithmetic mean) [#permalink] New post  07 Feb 2017, 19:41
M is a +ve Odd Integer {1,3,5,7,9,11...} What is Avg of {M}?
Rephrase the Question as What is M?

ADBCE Grid:-
1) M:- {1,3,5,7,9,11..}
M:-{3,6} {3,6,9,12,15}.... Insuff to Find the Average

2) Median of set is 33. Insuff

Using 1 and 2
M( 3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,....66,69}
Median is 33.
Since M is +ve odd integer,M should be odd.
If M is odd, then the middle integer will be the median

So if Median is 33, then M should be 21. { 3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63}

Hence C is Suff
_________________
Thanks & Regards,
Anaira Mitch
Signature Read More
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 19501
Re: If m is a positive odd integer, what is the average (arithmetic mean) [#permalink] New post  17 Oct 2020, 14:22
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.
_________________
GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources
Signature Read More
GMAT Club Bot
gmatclubot
Re: If m is a positive odd integer, what is the average (arithmetic mean) [#permalink]
17 Oct 2020, 14:22
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews

cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions