A is a set containing 7 different numbers. B is a set contai : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 22 Jan 2017, 11:20

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# A is a set containing 7 different numbers. B is a set contai

Author Message
TAGS:

### Hide Tags

Intern
Joined: 14 Oct 2010
Posts: 2
Followers: 0

Kudos [?]: 12 [0], given: 0

A is a set containing 7 different numbers. B is a set contai [#permalink]

### Show Tags

14 Oct 2010, 07:40
10
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

54% (01:00) correct 46% (01:08) wrong based on 288 sessions

### HideShow timer Statistics

A is a set containing 7 different numbers. B is a set containing 6 different numbers, all of which are members of A. Which of the following statements CANNOT be true?

A) The range of A is equal to the range of B
B) The mean of A is greater than the mean of B
C) The range of A is less than the range of B
D) The mean of A is equal to the mean of B
E) The median of A is equal to the median of B
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 36598
Followers: 7095

Kudos [?]: 93458 [3] , given: 10563

### Show Tags

14 Oct 2010, 08:08
3
KUDOS
Expert's post
3
This post was
BOOKMARKED
The range of a set is the difference between the largest and smallest elements of a set.

If a set has odd number of terms the median of a set is the middle number when arranged in ascending or descending order;
If a set has even number of terms the median of a set is the average of the two middle terms when arranged in ascending or descending order.

The arithmetic mean (average) of a set equals the sum of all of the elements in a set divided by the number of elements in that set.

Consider the set A to be {-3, -2, -1, 0, 1, 2, 3} --> $$mean=median=0$$ and $$range=3-(-3)=6$$.

A. The range of A = range of B --> remove 0 from set A, then the range of B still would be 6 --> could be true;

B. The mean of A > the mean of B --> remove 3, then the mean of B would be negative -0.5 so less than 0 --> could be true;

C. The range of A < the range of B --> the range of a subset cannot be more than the range of a whole set: how can the difference between the largest and smallest elements of a subset be more than the difference between the largest and smallest elements of a whole set --> NEVER TRUE.

D. The mean of A = the mean of B --> remove 0 from set A, then the mean of B still would be 0 --> could be true;

E. The median of A = the median of B --> again remove 0 from set A, then the median of B still would be 0 --> could be true;

Hope it's clear.
_________________
VP
Status: There is always something new !!
Affiliations: PMI,QAI Global,eXampleCG
Joined: 08 May 2009
Posts: 1353
Followers: 17

Kudos [?]: 240 [0], given: 10

### Show Tags

19 May 2011, 00:40
Good concept.

C it as range can be at max = range of B but cant be less than B.
_________________

Visit -- http://www.sustainable-sphere.com/
Promote Green Business,Sustainable Living and Green Earth !!

Math Expert
Joined: 02 Sep 2009
Posts: 36598
Followers: 7095

Kudos [?]: 93458 [0], given: 10563

Re: A is a set containing 7 different numbers. B is a set contai [#permalink]

### Show Tags

12 Jul 2013, 13:52
Bumping for review and further discussion.
_________________
Director
Joined: 14 Dec 2012
Posts: 842
Location: India
Concentration: General Management, Operations
GMAT 1: 700 Q50 V34
GPA: 3.6
Followers: 59

Kudos [?]: 1289 [0], given: 197

Re: A is a set containing 7 different numbers. B is a set contai [#permalink]

### Show Tags

12 Jul 2013, 14:05
Jumphi97 wrote:
A is a set containing 7 different numbers. B is a set containing 6 different numbers, all of which are members of A. Which of the following statements CANNOT be true?

A) The range of A is equal to the range of B
B) The mean of A is greater than the mean of B
C) The range of A is less than the range of B
D) The mean of A is equal to the mean of B
E) The median of A is equal to the median of B

hi,

only C is not possible:

let say set A has : a== b== c== d== e== f== g==>these are 7 elements in ascending order(just think they are on the number line starting from left)
range =g-a(distance from a to g)
now for B we have select 6 elements from A...and have to leave 1 element.
Now for making B YOU HAVE TO remove any one....no wyou can clearly see if you remove any of the one b/c/d/e/f===>range is g-a==>same as set A's range.
if you remove g==>range is f-a==>clearly distance is less than g-a
if you remove a ==>range is g-b==>clearly distance is less than g-a

hence you can see range of set B is always less than or equal to range of set A

hope i made my point clear
_________________

When you want to succeed as bad as you want to breathe ...then you will be successfull....

GIVE VALUE TO OFFICIAL QUESTIONS...

learn AWA writing techniques while watching video : http://www.gmatprepnow.com/module/gmat-analytical-writing-assessment

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13501
Followers: 577

Kudos [?]: 163 [0], given: 0

Re: A is a set containing 7 different numbers. B is a set contai [#permalink]

### Show Tags

26 Oct 2014, 11:11
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 Club Legend
Joined: 09 Sep 2013
Posts: 13501
Followers: 577

Kudos [?]: 163 [0], given: 0

Re: A is a set containing 7 different numbers. B is a set contai [#permalink]

### Show Tags

29 Feb 2016, 00:13
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.
_________________
Re: A is a set containing 7 different numbers. B is a set contai   [#permalink] 29 Feb 2016, 00:13
Similar topics Replies Last post
Similar
Topics:
5 S is a set containing 8 different positive odd numbers 3 25 Oct 2012, 13:40
50 A set of numbers contains 7 integers and has an average 30 15 May 2012, 00:36
6 R is a set containing 8 different numbers. S is a set 5 25 Feb 2012, 04:06
22 S is a set containing 9 different numbers. T is a set contai 11 29 Sep 2010, 05:25
6 S is a set containing 9 different numbers. T is a set contai 4 12 Aug 2008, 10:07
Display posts from previous: Sort by