GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 17 Aug 2018, 10:14

### 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

# If x =< 4 and y > = 10, what is the range of the numbers in

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 21 Oct 2013
Posts: 433
If x =< 4 and y > = 10, what is the range of the numbers in  [#permalink]

### Show Tags

Updated on: 06 Jul 2014, 11:39
2
3
00:00

Difficulty:

85% (hard)

Question Stats:

49% (01:59) correct 51% (02:26) wrong based on 96 sessions

### HideShow timer Statistics

If $$x\leq{4}$$ and $$y\geq{10}$$, what is the range of the numbers in the set {5, 8, x, y}?

(1) 3x + 5y = 72

(2) -7x + 7y = 56

From Kaplan Premier P800 Q4

Originally posted by goodyear2013 on 06 Jul 2014, 11:10.
Last edited by Bunuel on 06 Jul 2014, 11:39, edited 1 time in total.
Edited the question.
 Kaplan GMAT Prep Discount Codes Veritas Prep GMAT Discount Codes Economist GMAT Tutor Discount Codes
Math Expert
Joined: 02 Sep 2009
Posts: 47967
Re: If x =< 4 and y > = 10, what is the range of the numbers in  [#permalink]

### Show Tags

06 Jul 2014, 11:47
3
1
If $$x\leq{4}$$ and $$y\geq{10}$$, what is the range of the numbers in the set {5, 8, x, y}?

The range is the difference between the largest and smallest elements of a set. Since we know that $$x\leq{4}$$ and $$y\geq{10}$$, then the range of {x, 5, 8, y} is y - x.

(1) 3x + 5y = 72. If x = 0 < 4 and y = 72/5 > 10, then the range is 72/5 - 0 but if x = 1 < 4 and y = 69/5 > 10, then the range is 69/5 - 1. Not sufficient.

(2) -7x + 7y = 56 --> reduce by 7 and re-arrange: y - x = 8. Sufficient.

_________________
Non-Human User
Joined: 09 Sep 2013
Posts: 7746
Re: If x =< 4 and y > = 10, what is the range of the numbers in  [#permalink]

### Show Tags

12 Oct 2017, 10:17
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.
_________________
Re: If x =< 4 and y > = 10, what is the range of the numbers in &nbs [#permalink] 12 Oct 2017, 10:17
Display posts from previous: Sort by

# If x =< 4 and y > = 10, what is the range of the numbers in

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

# Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne 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®.