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

It is currently 14 Dec 2018, 18:41

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
Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Typical Day of a UCLA MBA Student - Recording of Webinar with UCLA Adcom and Student

     December 14, 2018

     December 14, 2018

     10:00 PM PST

     11:00 PM PST

    Carolyn and Brett - nicely explained what is the typical day of a UCLA student. I am posting below recording of the webinar for those who could't attend this session.
  • Free GMAT Strategy Webinar

     December 15, 2018

     December 15, 2018

     07:00 AM PST

     09:00 AM PST

    Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

S is a set containing 9 different numbers. T is a set contai

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Senior Manager
Senior Manager
avatar
Joined: 10 Mar 2008
Posts: 310
S is a set containing 9 different numbers. T is a set contai  [#permalink]

Show Tags

New post Updated on: 18 Jan 2014, 02:46
1
6
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

55% (00:43) correct 45% (00:43) wrong based on 120 sessions

HideShow timer Statistics

S is a set containing 9 different numbers. T is a set containing 8 different numbers, all of which are members of S. which of the following statements cannot be true?

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

OPEN DISCUSSION OF THIS QUESTION IS HERE: s-is-a-set-containing-9-different-numbers-t-is-a-set-contai-101912.html

Originally posted by vksunder on 12 Aug 2008, 10:07.
Last edited by Bunuel on 18 Jan 2014, 02:46, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
SVP
SVP
User avatar
Joined: 30 Apr 2008
Posts: 1826
Location: Oklahoma City
Schools: Hard Knocks
Re: PS: Mean/Median  [#permalink]

Show Tags

New post 12 Aug 2008, 10:30
5
1
E. Assuming a set cannot contain anything but integers.

vksunder wrote:
S is a set containing 9 different numbers. T is a set containing 8 different numbers, all of which are members of S. Which of the following statements CANNOT be true? \

a) The mean of S is equal to the mean of T
Take {1,2,3,4,5,6,7,8,9} for Set S => Mean is 5 so for Set t, remove number 5 and you have the same mean.
Take {1,2,3,4,6,7,8,9} for set T

b) The median of S is equal to the median of T
Again, remove number 5 and you have 4 and 6, which you need the averge of the 4th and 5th numbers, (4 and 6 respectively) for the median of set T, again median is 5 too.
c) The range of S is equal to the range of T
Again, if you remove any of the numbers EXCEPT for 1 and 9 to get Set T, you still have 1 and 9 ans your ends so the range is 8 on both.
d) The mean of S is greater than the mean of T
mean of S with 1 through 9 is 5 (9 numbers with total of 45). If you remove number 9 to make Set T, you have 8 numbers with total of 36, or an average of less than 5 (average of 5 across 8 numbers would be a total of 40, so less than that would be less than 5 average)
e) The range of S is less than the range of T
1 through 9 would be a range of 8. It would be impossible to have Set T to be within Set S and set S have a smaller range than set T because that would mean Set T included numbers not in set S.

_________________

------------------------------------
J Allen Morris
**I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a$$.

GMAT Club Premium Membership - big benefits and savings

SVP
SVP
User avatar
Joined: 07 Nov 2007
Posts: 1664
Location: New York
Re: PS: Mean/Median  [#permalink]

Show Tags

New post 12 Aug 2008, 10:38
vksunder wrote:
S is a set containing 9 different numbers. T is a set containing 8 different numbers, all of which are members of S. Which of the following statements CANNOT be true? \

a) The mean of S is equal to the mean of T
possible :
e.g S={3,5,4} T={3,5}
b) The median of S is equal to the median of T
possible
S={2,4,6} T={2,6}
c) The range of S is equal to the range of T
POSSIBLE
S={ 1,2,3,4} T ={1,2,4 }
d) The mean of S is greater than the mean of T
POSSIBLE
e) The range of S is less than the range of T

Not possible
E.

IF T is subset of S.. then Always range of S must be equal or greather than T

e.g S={ 1,2,3,4} range 3
T={1,2,3 } range 2
T ={1,2,4 } range 3
_________________

Your attitude determines your altitude
Smiling wins more friends than frowning

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51215
Re: S is a set containing 9 different numbers. T is a set contai  [#permalink]

Show Tags

New post 18 Jan 2014, 02:47
vksunder wrote:
S is a set containing 9 different numbers. T is a set containing 8 different numbers, all of which are members of S. which of the following statements cannot be true?

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


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

Consider the set S to be {-4, -3, -2, -1, 0, 1, 2, 3, 4} --> mean=median=0 and range=8.

A. Mean of S = mean of T --> remove 0 from set S, then the mean of T still would be 0;
B. Median of S = Median of T --> again remove 0 from set S, then the median of T still would be 0;
C. Range of S = range of T --> again remove 0 from set S, then the range of T still would be 8;
D. Mean of S > mean of T --> remove 4, then the mean of T would be negative -0.5 so less than 0;
E. Range of S < range of T --> 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.

Answer: E.

OPEN DISCUSSION OF THIS QUESTION IS HERE: s-is-a-set-containing-9-different-numbers-t-is-a-set-contai-101912.html
_________________

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: 9162
Premium Member
Re: S is a set containing 9 different numbers. T is a set contai  [#permalink]

Show Tags

New post 26 Nov 2018, 09:34
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

GMAT Club Bot
Re: S is a set containing 9 different numbers. T is a set contai &nbs [#permalink] 26 Nov 2018, 09:34
Display posts from previous: Sort by

S is a set containing 9 different numbers. T is a set contai

  post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

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®.