range : PS Archive
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 17 Jan 2017, 14:50

### 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

# range

Author Message
Manager
Joined: 04 Sep 2006
Posts: 114
Followers: 3

Kudos [?]: 43 [0], given: 0

### Show Tags

31 May 2009, 05:23
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

X range=240, Y range=360, what is the least value of range of X+Y?
Manager
Joined: 08 Feb 2009
Posts: 146
Schools: Anderson
Followers: 3

Kudos [?]: 49 [0], given: 3

### Show Tags

31 May 2009, 05:31
I am assuming the question is asking the least POSSIBLE value for range X+Y.

It would be 360.

For instance,

X ={0,1,2...240}
Y ={0,1,2...360}

Range would be 360.
Senior Manager
Joined: 16 Jan 2009
Posts: 359
Concentration: Technology, Marketing
GMAT 1: 700 Q50 V34
GPA: 3
WE: Sales (Telecommunications)
Followers: 4

Kudos [?]: 199 [0], given: 16

### Show Tags

31 May 2009, 15:01
X ={0,1,2...240}
Y ={0,1,2...360}
Adding elements of one set to another, only the union is intuitively suitable to be considered as the set addition. The empty set plays the role of zero.

However , for first 240 elements , X is not 0. For further values of Y(241-360) , X will be empty set.

So the Range would be X(240)+Y(240)=480.
_________________

Lahoosaher

Manager
Joined: 15 Apr 2008
Posts: 50
Location: Moscow
Followers: 0

Kudos [?]: 19 [0], given: 8

### Show Tags

01 Jun 2009, 00:19
I think, it depends on what the question is asking:
1. If we just combine the 2 sets, then the least possible range of X+Y will be 360 (if all the elements of X are from Y range).
2. If we add the 2 sets, then the least possible range will be 0: when sum of X = -sum of Y (e.g. X = {-240; -180; -60; 0} and Y = {0; 120; 360})
Intern
Joined: 12 May 2009
Posts: 48
Location: Mumbai
Followers: 1

Kudos [?]: 3 [0], given: 1

### Show Tags

01 Jun 2009, 00:22
The least possible range is 360 for X + Y.
Re: range   [#permalink] 01 Jun 2009, 00:22
Display posts from previous: Sort by