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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

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:

I seldom doubt the correctness of any question, however, this one forced me to :-

If set S consists of even number of integers, is the median of set negative? 1. Exactly half of all elements of set S are positive. 2. The largest negative element of set S is -1.

IMO : E GmatCLub ANswer : C ,

My explanation : My approach.. testing for C and E options 0 cannot be the 3rd element as question is Postive=Negative and 0 doesnot fit the criteria...

{ -8 , -1 ,2, 1 } = -0.5 = is negative ... ( note : the question doesnot say "IS MEDIAN a NEGATIVE INTEGER.. implies, it is a negative number ) therefore for above set meeting st1 and st2 Answer is YES

consider, {-3,-1,1,2} = 0 = Neither +ve nor -ve

therfoer for above set meeting st1 and st 2... Answer is NO

'The largest negative element of set S is -1' implies that there can be no integer in set S which has a greater negative value than -1.

Also, we know that -1 is the first negative integer and thereby also the smallest negative integer.

Thus, combing these two facts, we can conclude that -1 must be the only possible value that any negative integer in set S can hold.

This is what St.(2) tells us.

Now clearly, by itself it is not sufficient. (Nor is St.(1) for that matter). However, combing the two statements, we can see that the value of the median can never be negative. Consider the following case :

Set S = {-1, -1, 1, 1}

From St.(1) we know that number of negative values must be equal to number of positive values.

Also, since -1 is the only possible negative value that any element in set S can hold and 1 is the smallest possible positive value in that any element in set S can hold. The smallest possible median for set S will be 0.

Any other positive integer value in set S will result in a median greater than 0.

Thus we can conclude that with both statements taken into consideration, it is possible to answer the question stem.

Answer : C

Hope this clears things up a bit.

Cheers.
_________________

Click below to check out some great tips and tricks to help you deal with problems on Remainders! http://gmatclub.com/forum/compilation-of-tips-and-tricks-to-deal-with-remainders-86714.html#p651942

Word Problems Made Easy! 1) Translating the English to Math : http://gmatclub.com/forum/word-problems-made-easy-87346.html 2) 'Work' Problems Made Easy : http://gmatclub.com/forum/work-word-problems-made-easy-87357.html 3) 'Distance/Speed/Time' Word Problems Made Easy : http://gmatclub.com/forum/distance-speed-time-word-problems-made-easy-87481.html

'The largest negative element of set S is -1' implies that there can be no integer in set S which has a greater negative value than -1.

Also, we know that -1 is the first negative integer and thereby also the smallest negative integer.

I think the wording may be a little unclear in srihari's reply. -1 is not the smallest negative integer- it is the highest of all negative integers as -1>-2>-3>-4>.... So the set can contain -8, -189 etc but it definitely contains -1. So i

So if the set has half positive integers (St 1) and has -1, it will look like (assuming 4 elements) {-8,-1,1,2} - median is 0 - not negative {-1,0,2,1} - median is 1 - not negative

The median will be the average of a positive integer and zero, or the average of a positive integer and a negative integer. Since -1 is the largest negative integer in the set, the median is either the average of a positive integer and zero, or the average of a positive integer and -1 - in both cases it can't be negative.

'The largest negative element of set S is -1' implies that there can be no integer in set S which has a greater negative value than -1.

Also, we know that -1 is the first negative integer and thereby also the smallest negative integer.

I think the wording may be a little unclear in srihari's reply. -1 is not the smallest negative integer- it is the highest of all negative integers as -1>-2>-3>-4>.... So the set can contain -8, -189 etc but it definitely contains -1. So i

So if the set has half positive integers (St 1) and has -1, it will look like (assuming 4 elements) {-8,-1,1,2} - median is 0 - not negative {-1,0,2,1} - median is 1 - not negative

The median will be the average of a positive integer and zero, or the average of a positive integer and a negative integer. Since -1 is the largest negative integer in the set, the median is either the average of a positive integer and zero, or the average of a positive integer and -1 - in both cases it can't be negative.

I dont think we can assum the set to be { -1,0,2,1} reason : the statement says exactly Half Positive !! right ? therfore other half will be exactly neagtive??

hey... I believe, I found it, it says Exactly Half Postive, does it imply that other half may have exact neagtive or few negative ???