Is the range of integers 6, 3, y, 4, 5, and x greater than : GMAT Data Sufficiency (DS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 01 Mar 2017, 13:22

### 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

# Is the range of integers 6, 3, y, 4, 5, and x greater than

Author Message
TAGS:

### Hide Tags

Director
Joined: 01 May 2007
Posts: 793
Followers: 1

Kudos [?]: 307 [0], given: 0

Is the range of integers 6, 3, y, 4, 5, and x greater than [#permalink]

### Show Tags

20 Apr 2008, 11:12
5
This post was
BOOKMARKED
00:00

Difficulty:

35% (medium)

Question Stats:

70% (02:07) correct 30% (01:12) wrong based on 140 sessions

### HideShow timer Statistics

Is the range of the integers 6, 3, y, 4, 5, and x greater than 9?

(1) y > 3x
(2) y > x > 3

Official Guide 12 Question

 Question: 32 Page: 25 Difficulty: 700

Find All Official Guide Questions

Video Explanations:

OPEN DISCUSSION OF THIS QUESTION IS HERE: is-the-range-of-the-integers-6-3-y-4-5-and-x-greater-134897.html
[Reveal] Spoiler: OA
Manager
Joined: 09 Apr 2008
Posts: 60
Concentration: Strategy, Operations
Schools: CBS '15 (A)
Followers: 0

Kudos [?]: 14 [0], given: 0

Re: Is the range of integers 6, 3, y, 4, 5, and x greater than [#permalink]

### Show Tags

20 Apr 2008, 11:19
Statement 1: insuff
make x = -1 so y > -3 (range is or is not greater than 9 depending on what we pick)

Statement 2: insuff
make x = 4 so y > 4 (range is or is not greater than 9 depending on what we pick)

Combined Statements: sufficient
make x = 4 (most mitigating possibility) so y > 12
make y = 13 (most mitigating possibility)

--still, under greatest mitigation, range is from 3 to 13, which is greater than 9
--less mitigating choices for x and y would create even greater ranges

[C]
_________________

"The price of anything is the amount of life you exchange for it." -Thoreau

Intern
Joined: 02 Apr 2008
Posts: 37
Followers: 0

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

Re: Is the range of integers 6, 3, y, 4, 5, and x greater than [#permalink]

### Show Tags

20 Apr 2008, 11:21
jimmyjamesdonkey wrote:
Is the range of integers 6, 3, y, 4, 5, and x greater than 9?

1) y > 3x
2) y > x > 3

1) Insuf. consider x=1 --> y>3. could be 4 or 10
2) Insuf. y>x>3 can be 5>4>3 or 100>5>3

Combined, we know x>3, which means y>12. take the next integer, y= 13 --> 13-3=10 which is greater than 9
SVP
Joined: 28 Dec 2005
Posts: 1575
Followers: 3

Kudos [?]: 150 [0], given: 2

Re: Is the range of integers 6, 3, y, 4, 5, and x greater than [#permalink]

### Show Tags

20 Apr 2008, 11:46
i get C as well.

from stat 1, we can have x=1 and therefore y=4, and range is not more than 9. Or, we can have x=1 and y=13, so range is more than 9. insuff.

from stat 2, we can have x=4 and y=5, and range is not more than 9. Or, we can have x=4 and y=13, so range is more than 9/ insuff.

Together. the minimum that x can be is 4, and so the minimum that y has to be is 13. this guarantees that range will always be greater than 9. suff.
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 14018
Followers: 593

Kudos [?]: 168 [0], given: 0

Re: Is the range of integers 6, 3, y, 4, 5, and x greater than [#permalink]

### Show Tags

20 Oct 2014, 19:17
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.
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 37183
Followers: 7289

Kudos [?]: 96986 [0], given: 10822

Re: Is the range of integers 6, 3, y, 4, 5, and x greater than [#permalink]

### Show Tags

21 Oct 2014, 00:13
Expert's post
2
This post was
BOOKMARKED
Is the range of the integers 6, 3, y, 4, 5, and x greater than 9?

Given integers are: {3, 4, 5, 6, x, y}

(1) y > 3x. If $$x=1$$ and $$y=4$$ then the range=6-1=5<9 but if $$x=100$$ then the range>9. Not sufficient.

(2) y > x > 3. If $$x=4$$ and $$y=5$$ then the range=6-3=3<9 but if $$x=100$$ then the range>9. Not sufficient.

(1)+(2) From $$x > 3$$ we have that the least value of $$x$$ is 4, and from $$y > 3x=12$$ we have that the least value of $$y$$ is 13, hence the least value of the range is 13-3=10>9. Sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: is-the-range-of-the-integers-6-3-y-4-5-and-x-greater-134897.html
_________________
Re: Is the range of integers 6, 3, y, 4, 5, and x greater than   [#permalink] 21 Oct 2014, 00:13
Similar topics Replies Last post
Similar
Topics:
4 Is the range of the integers 4, 7, x, 6, 5, y greater than 9 4 01 Sep 2013, 04:25
14 Is the range of the integers 6, 3, y, 4, 5, and x greater 7 25 Jun 2012, 02:03
3 Is the range of the integers 6, 3, y, 4, 5, and x greater th 8 05 Mar 2012, 13:39
1 A series of 5 numbers is 3, 4, 5, 5, x, is the range greater 2 06 Jun 2011, 10:53
4 S = { w , x , y, z } , is the range of S greater than 5 1 - 6 26 Sep 2010, 08:27
Display posts from previous: Sort by