NEW HERE? LEARN MORE
closeclose
Last visit was: 11 May 2024, 01:04 It is currently 11 May 2024, 01:04
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

S is a set containing 8 different positive odd numbers

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
danzig
Manager
Manager
Joined: 11 Aug 2012
Posts: 103
Own Kudos [?]: 328 [4]
Given Kudos: 16
Schools: HBS '16 Stanford '16
Send PM
S is a set containing 8 different positive odd numbers [#permalink] New post   25 Oct 2012, 14:40
1
Kudos
3
Bookmarks
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

70% (01:51) correct 30% (01:48) wrong based on 224 sessions
Hide Show 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.
ShowHide Answer
Official Answer
C
User avatar
D
ChiranjeevSingh
Tutor
Joined: 22 Oct 2012
Status:Private GMAT Tutor
Posts: 364
Own Kudos [?]: 2353 [1]
Given Kudos: 135
Location: India
Concentration: Economics, Finance
Schools: IIMA (A)
GMAT Focus 1:
735 Q90 V85 DI85
GMAT Focus 2:
735 Q90 V85 DI85
GMAT 1: 780 Q51 V47
GRE 1: Q170 V168
Send PM
Re: S is a set containing 8 different positive odd numbers [#permalink] New post   25 Oct 2012, 18:58
1
Kudos
Expert Reply
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
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 93155
Own Kudos [?]: 622757 [1]
Given Kudos: 81828
Send PM
CAT Tests Forum Quiz Mode
Re: S is a set containing 8 different positive odd numbers [#permalink] New post   26 Oct 2012, 04:09
1
Bookmarks
Expert Reply
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.
avatar
B
ujjwal80
Intern
Intern
Joined: 27 Jul 2017
Posts: 37
Own Kudos [?]: 11 [0]
Given Kudos: 48
Send PM
Re: S is a set containing 8 different positive odd numbers [#permalink] New post   24 Feb 2018, 08:18
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.


Question statement - "T is a set containing 7 different numbers, all of which are members of S" means T is a subset of S and its all 7 numbers in the set are odd. By integer addition rule, we know odd+odd = even but if we pay special attention then will notice there are total 3 pairs of odd numbers and 1 still is left out.

Hence the answer should be (C) as its mean can never be even.
GMAT Club Bot
gmatclubot
Re: S is a set containing 8 different positive odd numbers [#permalink]
24 Feb 2018, 08:18
Moderators:
Bunuel
Math Expert
93155 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions