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

 It is currently 24 Aug 2016, 06:45

### 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

# m13#26

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
Manager
Joined: 14 Dec 2009
Posts: 79
Followers: 1

Kudos [?]: 36 [0], given: 20

### Show Tags

26 Feb 2010, 09:51
Is the range of a combined set $$(S,T)$$ bigger than the sum of ranges of sets $$S$$ and $$T$$ ?

1.The largest element of $$T$$ is bigger than the largest element of $$S$$ .
2.The smallest element of $$T$$ is bigger than the largest element of $$S$$ .

OA and OE:
[Reveal] Spoiler:
Statement (1) by itself is insufficient. Consider S=(0,1) , T=(1,2) (the answer is "no") and S=(0,1) , T=(2,3) (the answer is "yes").

Statement (2) by itself is sufficient. The range of the combined set equals the range(S) plus the range(T) plus the difference between the smallest element in T and the largest element in S . Thus, the range of the combined set will always be bigger than the sum of ranges of sets S and T .

The correct answer is B.

My question is: can set S and set T have only 1 element each [strike]and can these elements be equal[/strike](already answered below)?

Last edited by Igor010 on 26 Feb 2010, 10:37, edited 1 time in total.
Manager
Joined: 29 Oct 2009
Posts: 202
Concentration: General Management, Sustainability
WE: Consulting (Computer Software)
Followers: 2

Kudos [?]: 78 [0], given: 12

### Show Tags

26 Feb 2010, 10:28
can set S and set T have only 1 element each and can these elements be equal?
>> No. If this is the case then both the statements will become false.
As the statements explicitly say that one is bigger than other, means those are not equal even if the set has one element.
Manager
Joined: 14 Dec 2009
Posts: 79
Followers: 1

Kudos [?]: 36 [0], given: 20

### Show Tags

26 Feb 2010, 10:34
Yes, you are right! They should be different. But can these sets have only one different elment?
Intern
Joined: 27 Jan 2010
Posts: 30
Followers: 0

Kudos [?]: 7 [1] , given: 0

### Show Tags

01 Mar 2010, 17:39
1
KUDOS
Lets take stmt 1:

1.The largest element of T is bigger than the largest element of S .
Say S = {2,3,4} T = {3,4,5,6}
R(S) = 2 , R(T) = 3 and R(S,T) = 4
is 4>2+3 No

Say S = {2,3,4} T = {5,6,7,8}
R(S) = 2 , R(T) = 3 and R(S,T) = 6
is 6>2+3 Yes

Yes and No answer hence proceed to stmt 2.

2.The smallest element of T is bigger than the largest element of S .
Say S = {2,3,4} T = {5,6,7,8}
R(S) = 2 , R(T) = 3 and R(S,T) = 6
is 6>2+3 Yes

Say S = {5,10} T = {11,20}
R(S) = 5 , R(T) = 9 and R(S,T) = 15
is 15>14 Yes

Hence Stmt 2 is suff.

Manager
Joined: 14 Dec 2009
Posts: 79
Followers: 1

Kudos [?]: 36 [0], given: 20

### Show Tags

01 Mar 2010, 22:26
Nice explanation above.
Thank you sang.
Re: m13#26   [#permalink] 01 Mar 2010, 22:26
Display posts from previous: Sort by

# m13#26

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

Moderator: Bunuel

 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®.