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.
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
Does GMAT RC seem like an uphill battle? e-GMAT is conducting a free webinar to help you learn reading strategies that can enable you to solve 700+ level RC questions with at least 90% accuracy in less than 10 days. Sat., Oct 19th at 7 am PDT
Re: If m is a positive odd integer, what is the average (arithmetic mean)
[#permalink]
Show Tags
28 Jul 2015, 08:04
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
_________________
Prosper!!! GMATinsight Bhoopendra Singh and Dr.Sushma Jha e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772 Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi http://www.GMATinsight.com/testimonials.html
Re: If m is a positive odd integer, what is the average (arithmetic mean)
[#permalink]
Show Tags
20 Oct 2015, 20:12
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!
Re: If m is a positive odd integer, what is the average (arithmetic mean)
[#permalink]
Show Tags
20 Oct 2015, 21:12
1
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.
_________________
Re: If m is a positive odd integer, what is the average (arithmetic mean)
[#permalink]
Show Tags
15 Jul 2016, 10:31
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
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.
Re: If m is a positive odd integer, what is the average (arithmetic mean)
[#permalink]
Show Tags
07 Feb 2017, 20:41
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}
Re: If m is a positive odd integer, what is the average (arithmetic mean)
[#permalink]
Show Tags
17 Oct 2019, 04:50
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.
_________________
close
68% (01:24) correct 
