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

 It is currently 26 Apr 2015, 18:10

### 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 the integers 6, 3, y, 4, 5, and x greater

Author Message
TAGS:
Math Expert
Joined: 02 Sep 2009
Posts: 27058
Followers: 4185

Kudos [?]: 40432 [1] , given: 5421

Is the range of the integers 6, 3, y, 4, 5, and x greater [#permalink]  25 Jun 2012, 02:03
1
KUDOS
Expert's post
4
This post was
BOOKMARKED
00:00

Difficulty:

65% (hard)

Question Stats:

57% (02:16) correct 43% (01:20) wrong based on 259 sessions
Is the range of the integers 6, 3, y, 4, 5, and x greater than 9?

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

Diagnostic Test
Question: 32
Page: 25
Difficulty: 650
[Reveal] Spoiler: OA

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 27058
Followers: 4185

Kudos [?]: 40432 [1] , given: 5421

Re: Is the range of the integers 6, 3, y, 4, 5, and x greater [#permalink]  25 Jun 2012, 02:04
1
KUDOS
Expert's post
SOLUTION

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.

_________________
Senior Manager
Joined: 28 Mar 2012
Posts: 288
Concentration: Entrepreneurship
GMAT 1: 640 Q50 V26
GMAT 2: 660 Q50 V28
GMAT 3: 730 Q50 V38
Followers: 16

Kudos [?]: 202 [0], given: 23

Re: Is the range of the integers 6, 3, y, 4, 5, and x greater [#permalink]  25 Jun 2012, 07:41
Hi,

Range = Largest value - smallest value.

6, 3, y, 4, 5, and x, where x & y are integers

Using (1),
y>3x, if x=1, then y = 4, 5,..100....
in each case range can be 5, 6,....So, range is greater than 5. Insufficient.

Using (2),
y>x>3.
Minimum value of x = 4,
y=5,6,7... We can't say whether range is greater than 9.

Combining both statements;
$x_{min} = 4$
& since, y > 3x, $y_{min}=13,$
thus, 3, 4, 4, 5, 6, & 13 has range (13-3)=10, which is greater than 9
and on increasing x, range will also increase.

Regards,
_________________

My posts: Solving Inequalities, Solving Simultaneous equations, Divisibility Rules

My story: 640 What a blunder!

Vocabulary resource: EdPrep

Math Expert
Joined: 02 Sep 2009
Posts: 27058
Followers: 4185

Kudos [?]: 40432 [0], given: 5421

Re: Is the range of the integers 6, 3, y, 4, 5, and x greater [#permalink]  29 Jun 2012, 03:36
Expert's post
SOLUTION

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.

_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 4675
Followers: 291

Kudos [?]: 52 [0], given: 0

Re: Is the range of the integers 6, 3, y, 4, 5, and x greater [#permalink]  02 May 2014, 12:38
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: Is the range of the integers 6, 3, y, 4, 5, and x greater   [#permalink] 02 May 2014, 12:38
Similar topics Replies Last post
Similar
Topics:
3 Is the range of the integers 4, 7, x, 6, 5, y greater than 9 3 01 Sep 2013, 04:25
2 Is the range of the integers 6, 3, y, 4, 5, and x greater th 3 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
2 Is the range of integers 6, 3, y, 4, 5, and x greater than 5 20 Apr 2008, 11:12
If x and y are selected from 2, 3, 4, 5 and 6. What is the 5 26 Apr 2006, 02:44
Display posts from previous: Sort by