GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 21 Aug 2018, 03:19

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.

Close

Request Expert Reply

Confirm Cancel

If set S consists of even number of integers, is the median

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Intern
Intern
avatar
Joined: 22 Apr 2013
Posts: 3
Re: Median negative??  [#permalink]

Show Tags

New post 25 May 2013, 07:45
sudiptak wrote:
nitishmahajan wrote:
arvs212 wrote:
If set S consists of even number of integers, is the median of set S negative?

1)Exactly half of all elements of set S are positive.
2)The largest negative element of set S is -1.


Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient


plzzz give answers with explanations...thnx


IMO E,

1. Is Insuff, as it doesn't tell anything about -ve no. ( I mean the range or values)
2. Is also insuff.

Lets combine 1 & 2. Lets consider an example here.
S = ( -3, -2, -1, 1, 2, 3) ( as we know from st 2. that Largest -ve no. is -1 )
In this case the median is 0
and now consider S= ( -3, -2, -1, 2, 3, 4) In this case Median is 1/2
and when S= ( -3, -2, -1, 0, 3, 4) Median = -1/2
Hence 1 & 2 combined also is insuff.

Please post OA also.


and when S= ( -3, -2, -1, 0, 3, 4) Median = -1/2---------- this case will not arse when we are comibining stmnt 1 &2 cos, one says half of the numbers are positive. so we can not have the "0" there.

so, 1&2 gives the ans. hence C.




If we take a set as S: {-3,-2,-1,0,1,2,3,4}.,this contains exactly half +ve integers and the greatest -ve integer in -1 ., the median is positive..i.e., (0+1)/2=1/2
And if we consider the set S: {-3,-2,-1,1,2,3}.,this contains exactly half +ve integers and the greatest -ve integer is -1.,the median is neither negative nor positive..i.e.,(-1+1)/2=0
HEnce the answer should be E..as both answers when combined also didnt provide the solution..
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 48074
Re: If set S consists of even number of integers, is the median  [#permalink]

Show Tags

New post 25 May 2013, 07:56
VyshnaviV wrote:
If we take a set as S: {-3,-2,-1,0,1,2,3,4}.,this contains exactly half +ve integers and the greatest -ve integer in -1 ., the median is positive..i.e., (0+1)/2=1/2
And if we consider the set S: {-3,-2,-1,1,2,3}.,this contains exactly half +ve integers and the greatest -ve integer is -1.,the median is neither negative nor positive..i.e.,(-1+1)/2=0
HEnce the answer should be E..as both answers when combined also didnt provide the solution..


The question asks whether the median is negative. In both cases you got that the median is NOT negative. Hence when taken together the statements are sufficient to give a definite NO answer to the question. The correct answer is C, not E.

Complete solution: if-set-s-consists-of-even-number-of-integers-is-the-median-14343-20.html#p1097147

Hope it helps.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
avatar
Joined: 08 Sep 2014
Posts: 2
Re: If set S consists of even number of integers, is the median  [#permalink]

Show Tags

New post 10 Oct 2014, 23:24
Bunuel,

Set 1: -1, -4, 1, 1 Median= -3/2 (exactly half positive integers, and -1 is the highest -ve integer)

Set 2: -1, 0, 2, 3 Median = 1 (+ve)

Shouldn't the solution be E?


Bunuel wrote:
rlevochkin wrote:
mirhaque wrote:
SEE ATTACHED

E.

St. (1) insufficient as we should not forget "0", which is neither positive nor negative. sets can be

{-1, -1, 0, 2}, the mean is -.5, which is negative, or {-1,0,2,4} the mean is 1 which is positive.

St. (2) is also, insufficient, since the set can look like {-1, 0}, the median is the middle number between -1 and 0, which is -.5, so negative, ot it can be {-1,0, 4,4} with median 2, which is positive

putting statements (1) and (2) together does not provide any additional information that can be considered, so Ans. is E.


Not so.

If set S consists of even number of integers, is the median of set S negative?

Set consists of even number of integers --> median=sum of two middle integers/2

(1) Exactly half of all elements of set S are positive --> either all other are negative or all but one, which at this case must be 0. Not sufficient.

(2) The largest negative element of set S is -1 --> not sufficient

(1)+(2) half positive, biggest negative -1 --> median is either (0 + positive)/2=positive (so not negative) or (-1 + at least smallest positive integer, which is 1)/2=0 (min value of median in this case) also not negative. Q was is the median negative answer NO. SUFFICIENT

Answer C
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 48074
Re: If set S consists of even number of integers, is the median  [#permalink]

Show Tags

New post 11 Oct 2014, 04:06
1
ApoorvaRed9 wrote:
Bunuel,

Set 1: -1, -4, 1, 1 Median= -3/2 (exactly half positive integers, and -1 is the highest -ve integer)

Set 2: -1, 0, 2, 3 Median = 1 (+ve)

Shouldn't the solution be E?


The median of a set with even terms is the average of two middle terms when arranged in ascending/descending order. So, the median of {-4, -1, 1, 1} is (-1 + 1)/2 = 0, not -3/2.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 7776
Premium Member
Re: If set S consists of even number of integers, is the median  [#permalink]

Show Tags

New post 03 Aug 2018, 08:43
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

Re: If set S consists of even number of integers, is the median &nbs [#permalink] 03 Aug 2018, 08:43

Go to page   Previous    1   2   [ 25 posts ] 

Display posts from previous: Sort by

If set S consists of even number of integers, is the median

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Events & Promotions

PREV
NEXT


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.