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

 It is currently 16 Dec 2018, 14:27

### 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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### Free GMAT Prep Hour

December 16, 2018

December 16, 2018

03:00 PM EST

04:00 PM EST

Strategies and techniques for approaching featured GMAT topics
• ### FREE Quant Workshop by e-GMAT!

December 16, 2018

December 16, 2018

07:00 AM PST

09:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.

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

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 21 Oct 2013
Posts: 419
If x =< 4 and y > = 10, what is the range of the numbers in  [#permalink]

### Show Tags

Updated on: 06 Jul 2014, 10:39
2
3
00:00

Difficulty:

85% (hard)

Question Stats:

52% (02:29) correct 48% (02:56) wrong based on 98 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, 10:10.
Last edited by Bunuel on 06 Jul 2014, 10:39, edited 1 time in total.
Edited the question.
Math Expert
Joined: 02 Sep 2009
Posts: 51229
Re: If x =< 4 and y > = 10, what is the range of the numbers in  [#permalink]

### Show Tags

06 Jul 2014, 10:47
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: 9184
Re: If x =< 4 and y > = 10, what is the range of the numbers in  [#permalink]

### Show Tags

12 Oct 2017, 09:17
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, 09:17
Display posts from previous: Sort by