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:
For a set X containing n integers, is the mean even? (1) n
[#permalink]
Show Tags
09 Mar 2011, 09:32
7
2
kannn wrote:
For a set X containing n integers, is the mean even?
(1) n is even.
(2) All of the integers in set X are even.
Best approach
For a set X containing n integers, is the mean even?
The mean of a set = The sum of the elements / number of elements, so the question is whether mean=sum/n=even.
(1) n is even --> mean=sum/even. Not sufficient.
(2) All of the integers in set X are even --> so the sum of the elements is even --> mean=even/n. Not sufficient.
(1)+(2) The question becomes whether mean=even/even=even, which can not be determined as even/even could be even (for example 4/2=2=even), could be odd (for example 6/2=3=odd) or could be non-integer (for example 6/4=3/2). Not sufficient.
Re: For a set X containing n integers, is the mean even?
[#permalink]
Show Tags
10 Sep 2012, 05:05
1
For a set X containing n integers, is the mean even?
(1) n is even.
(2) All of the integers in set X are even.
Doesn't both the statements combined give an odd answer? Thus Statement (C) is correct but the MGMAT says that (E) is correct. Can someone explain the answer.
take Set S as {2,4} then you will get the mean as 3 (odd) take Set S as {4,4,4,4} then you will get the mean as 4 (even)
Re: For a set X containing n integers, is the mean even?
[#permalink]
Show Tags
09 May 2014, 09:40
1
Trick here is that integers in Set S is NOT UNIQUE EVEN INTEGER. Hence Ans. E. If integers were unique EVEN integers then Ans. would have been C.
_________________
The question isn’t who is going to let me; it’s who is going to stop me.
Re: For a set X containing n integers, is the mean even? (1) n
[#permalink]
Show Tags
03 Feb 2016, 01:34
Bunuel wrote:
kannn wrote:
For a set X containing n integers, is the mean even?
(1) n is even.
(2) All of the integers in set X are even.
Best approach
For a set X containing n integers, is the mean even?
The mean of a set = The sum of the elements / number of elements, so the question is whether mean=sum/n=even.
(1) n is even --> mean=sum/even. Not sufficient.
(2) All of the integers in set X are even --> so the sum of the elements is even --> mean=even/n. Not sufficient.
(1)+(2) The question becomes whether mean=even/even=even, which can not be determined as even/even could be even (for example 4/2=2=even), could be odd (for example 6/2=3=odd) or could be non-integer (for example 6/4=3/2). Not sufficient.
Answer: E.
Hi Bunuel,
I still do not understand how to solve these kind of questions methodically because everytime we have to consider cases I forget one or other cases to consider. So instead of trying numbers can you please describe a methodical approach to test this.
For eg when we consider cases how many cases are possible and how to check against them. Such as we know that for the mean to be even the sum mandatorily has to be even however the base could be even or odd and can yield even or odd mean in both the cases i.e when N= even or when n=odd as non integers are also included.
Re: For a set X containing n integers, is the mean even? (1) n
[#permalink]
Show Tags
08 Jul 2016, 21:40
One doubt - if the question had mentioned n positive integers, how does the answer varies ? My doubt is - whether the addition of "zero" to the set changes the even\odd nature of the mean ?
Re: For a set X containing n integers, is the mean even? (1) n
[#permalink]
Show Tags
08 Oct 2018, 12:22
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.
_________________