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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

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.

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

Show Tags

25 Jun 2012, 07:41

2

This post received KUDOS

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.

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.

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

Show Tags

07 Jan 2018, 03:50

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.
_________________