Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 26 Aug 2016, 04:29

### 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

# R is a set containing 8 different numbers. S is a set

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

### Hide Tags

Director
Status: Finally Done. Admitted in Kellogg for 2015 intake
Joined: 25 Jun 2011
Posts: 538
Location: United Kingdom
Concentration: International Business, Strategy
GMAT 1: 730 Q49 V45
GPA: 2.9
WE: Information Technology (Consulting)
Followers: 68

Kudos [?]: 2480 [0], given: 217

R is a set containing 8 different numbers. S is a set [#permalink]

### Show Tags

25 Feb 2012, 05:06
00:00

Difficulty:

45% (medium)

Question Stats:

50% (02:02) correct 50% (01:05) wrong based on 154 sessions

### HideShow timer Statistics

R is a set containing 8 different numbers. S is a set containing 7 different numbers, all of which are members of R. Which of the following statements CANNOT be true?

(A) The range of R is less than the range of S.
(B) The mean of R is greater than the mean of S.
(C) The range of R is equal to the range of S.
(D) The mean of R is less than the mean of S.
(E) The mean of R is equal to the mean of S.

I got he right answer (
[Reveal] Spoiler:
A
) but had to some guess work on choice D. Any idea how can we prove that choice
[Reveal] Spoiler:
D
can be true as well?
[Reveal] Spoiler: OA

_________________

Best Regards,
E.

MGMAT 1 --> 530
MGMAT 2--> 640
MGMAT 3 ---> 610
GMAT ==> 730

Math Expert
Joined: 02 Sep 2009
Posts: 34445
Followers: 6267

Kudos [?]: 79529 [1] , given: 10021

Re: CANNOT be true [#permalink]

### Show Tags

25 Feb 2012, 05:39
1
KUDOS
Expert's post
1
This post was
BOOKMARKED
enigma123 wrote:
R is a set containing 8 different numbers. S is a set containing 7 different numbers, all of which are members of R. Which of the following statements CANNOT be true?

(A) The range of R is less than the range of S.
(B) The mean of R is greater than the mean of S.
(C) The range of R is equal to the range of S.
(D) The mean of R is less than the mean of S.
(E) The mean of R is equal to the mean of S.

I got he right answer (A) but had to some guess work on choice D. Any idea how can we prove that choice D can be true as well?

The range of a set is the difference between the largest and smallest elements of a set.

So, the answer is straight A: 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.

As for D:
Consider set R to be {-3, -2, -1, 0, 1, 2, 3, 4} --> mean=0.5.

(D) The mean of R is less than the mean of S --> remove the smallest term -3, then the mean of S will be 1, so more than 0.5.

Hope it's clear.
_________________
Intern
Joined: 05 Mar 2014
Posts: 25
Followers: 0

Kudos [?]: 18 [0], given: 20

Re: R is a set containing 8 different numbers. S is a set [#permalink]

### Show Tags

07 May 2014, 04:59
HI Bunuel, consider this Set R = { 1,2,3,4,5,6,7,8} and set S = {1,2,3,5,6,7,8}, in this case, the range for both set R and set S is 7.

Kindly let me know if am missing something here ?

Thanks
Math Expert
Joined: 02 Sep 2009
Posts: 34445
Followers: 6267

Kudos [?]: 79529 [0], given: 10021

Re: R is a set containing 8 different numbers. S is a set [#permalink]

### Show Tags

07 May 2014, 05:34
virinchiwiwo wrote:
HI Bunuel, consider this Set R = { 1,2,3,4,5,6,7,8} and set S = {1,2,3,5,6,7,8}, in this case, the range for both set R and set S is 7.

Kindly let me know if am missing something here ?

Thanks

Yes, the ranges are equal but what's your question?
_________________
Intern
Joined: 22 Jun 2013
Posts: 45
Followers: 0

Kudos [?]: 37 [0], given: 132

Re: CANNOT be true [#permalink]

### Show Tags

09 May 2014, 01:15
Bunuel wrote:
enigma123 wrote:
R is a set containing 8 different numbers. S is a set containing 7 different numbers, all of which are members of R. Which of the following statements CANNOT be true?

(A) The range of R is less than the range of S.
(B) The mean of R is greater than the mean of S.
(C) The range of R is equal to the range of S.
(D) The mean of R is less than the mean of S.
(E) The mean of R is equal to the mean of S.

I got he right answer (A) but had to some guess work on choice D. Any idea how can we prove that choice D can be true as well?

The range of a set is the difference between the largest and smallest elements of a set.

So, the answer is straight A: 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.

As for D:
Consider set R to be {-3, -2, -1, 0, 1, 2, 3, 4} --> mean=0.5.

(D) The mean of R is less than the mean of S --> remove the smallest term -3, then the mean of S will be 1, so more than 0.5.

Hope it's clear.

Hello Bunuel

Sorry ! I am not able to imagine the case where the Mean of the subset will be same as the Mean of its Super Set. i.e. Option E
Please provide an example for that

Thanks a lot for your help !
Re: CANNOT be true   [#permalink] 09 May 2014, 01:15
Similar topics Replies Last post
Similar
Topics:
5 S is a set containing 8 different positive odd numbers 3 25 Oct 2012, 14:40
15 A is a set containing 7 different numbers. B is a set contai 6 14 Oct 2010, 08:40
72 Set R contains five numbers that have an average value of 55 23 02 Oct 2010, 12:23
18 S is a set containing 9 different numbers. T is a set contai 10 29 Sep 2010, 06:25
6 S is a set containing 9 different numbers. T is a set contai 4 12 Aug 2008, 11:07
Display posts from previous: Sort by

# R is a set containing 8 different numbers. S is a set

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

 Powered by phpBB © phpBB Group and phpBB SEO 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®.