S is a set containing 8 different positive odd numbers : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 24 Feb 2017, 01:16

### 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

# S is a set containing 8 different positive odd numbers

Author Message
TAGS:

### Hide Tags

Manager
Joined: 11 Aug 2012
Posts: 128
Schools: HBS '16, Stanford '16
Followers: 1

Kudos [?]: 107 [0], given: 16

S is a set containing 8 different positive odd numbers [#permalink]

### Show Tags

25 Oct 2012, 13:40
3
This post was
BOOKMARKED
00:00

Difficulty:

35% (medium)

Question Stats:

72% (02:06) correct 28% (01:13) wrong based on 141 sessions

### HideShow timer Statistics

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

(A) The range of T is even.
(B) The mean of S is even.
(C) The mean of T is even.
(D) The range of S is equal to the range of T.
(E) The median of T is equal to the mean of T.
[Reveal] Spoiler: OA
Manager
Status: Private GMAT Tutor
Joined: 22 Oct 2012
Posts: 67
Location: India
Concentration: Economics, Finance
GMAT 1: 770 Q50 V44
GMAT 2: 780 Q51 V47
Followers: 26

Kudos [?]: 131 [1] , given: 33

Re: S is a set containing 8 different positive odd numbers [#permalink]

### Show Tags

25 Oct 2012, 17:58
1
KUDOS
danzig wrote:
S is a set containing 8 different positive odd numbers. T is a set containing 7 di¤erent numbers, all of which are members of S. Which of the following statements CANNOT be true?
(A) The range of T is even.
(B) The mean of S is even.
(C) The mean of T is even.
(D) The range of S is equal to the range of T.
(E) The median of T is equal to the mean of T.

Option C.

Given: S is a set containing 8 different positive odd numbers
Easily inferred: T is a set containing 7 different odd numbers

(A) The range of T is even. - Always even, since it is a difference of two odd numbers
(B) The mean of S is even. - can be. suppose 8 numbers consist of 4 pairs of (16n-1,16n+1) for different values of n. Adding these will give a multiple of 16, which when divided by 8 (to arrive at mean), will give an even number
(C) The mean of T is even. - Cannot be. Mean = (sum of 7 odd numbers)/7 = Odd number/odd number thus cannot be even.
(D) The range of S is equal to the range of T.
(E) The median of T is equal to the mean of T
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 37105
Followers: 7251

Kudos [?]: 96469 [0], given: 10751

Re: S is a set containing 8 different positive odd numbers [#permalink]

### Show Tags

26 Oct 2012, 03:09
Expert's post
1
This post was
BOOKMARKED
danzig wrote:
S is a set containing 8 different positive odd numbers. T is a set containing 7 different numbers, all of which are members of S. Which of the following statements CANNOT be true?

(A) The range of T is even.
(B) The mean of S is even.
(C) The mean of T is even.
(D) The range of S is equal to the range of T.
(E) The median of T is equal to the mean of T.

Similar question to practice: s-is-a-set-containing-9-different-positive-odd-primes-126042.html

Hope it helps.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13944
Followers: 590

Kudos [?]: 167 [0], given: 0

Re: S is a set containing 8 different positive odd numbers [#permalink]

### Show Tags

11 Dec 2015, 01:03
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: S is a set containing 8 different positive odd numbers   [#permalink] 11 Dec 2015, 01:03
Similar topics Replies Last post
Similar
Topics:
7 Set A contains three different positive odd integers and two 5 03 Aug 2014, 11:05
6 R is a set containing 8 different numbers. S is a set 5 25 Feb 2012, 04:06
11 S is a set containing 9 different positive odd primes 5 13 Jan 2012, 08:10
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