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

It is currently 21 Feb 2019, 04:07

Close

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
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.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
  • Online GMAT boot camp for FREE

     February 21, 2019

     February 21, 2019

     10:00 PM PST

     11:00 PM PST

    Kick off your 2019 GMAT prep with a free 7-day boot camp that includes free online lessons, webinars, and a full GMAT course access. Limited for the first 99 registrants! Feb. 21st until the 27th.
  • Free GMAT RC Webinar

     February 23, 2019

     February 23, 2019

     07:00 AM PST

     09:00 AM PST

    Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT

If -30 ≤ 6x ≤ 60 and 40 ≥ 2y + 4 ≥ 8, what is the greatest possible va

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

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 53061
If -30 ≤ 6x ≤ 60 and 40 ≥ 2y + 4 ≥ 8, what is the greatest possible va  [#permalink]

Show Tags

New post 28 Jan 2019, 02:05
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

71% (01:04) correct 29% (00:57) wrong based on 17 sessions

HideShow timer Statistics

Manager
Manager
User avatar
G
Joined: 13 Jan 2018
Posts: 226
Location: India
Concentration: Operations, General Management
GMAT 1: 580 Q47 V23
GMAT 2: 640 Q49 V27
GPA: 4
WE: Consulting (Consulting)
Reviews Badge
Re: If -30 ≤ 6x ≤ 60 and 40 ≥ 2y + 4 ≥ 8, what is the greatest possible va  [#permalink]

Show Tags

New post 28 Jan 2019, 02:14
-30 ≤ 6x ≤ 60 and 40 ≥ 2y + 4 ≥ 8
-5 ≤ x ≤ 10 and 18 ≥ y ≥ 2

Now in order to find the greatest value of x - y, "x" has to be the largest possible integer and "y" has to be the smallest possible integer.

largest value x can take is 10 and least value that y can take is 2.

x - y = 10 - 2 = 8

OPTION: D
_________________

____________________________
Regards,

Chaitanya


+1 Kudos

if you like my explanation!!!

VP
VP
User avatar
P
Joined: 31 Oct 2013
Posts: 1157
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If -30 ≤ 6x ≤ 60 and 40 ≥ 2y + 4 ≥ 8, what is the greatest possible va  [#permalink]

Show Tags

New post 28 Jan 2019, 02:15
Bunuel wrote:
If \(-30 ≤ 6x ≤ 60\) and \(40 ≥ 2y + 4 ≥ 8\), what is the greatest possible value of x − y ?

A. 23
B. 13
C. 10
D. 8
E. 6



\(-30 ≤ 6x ≤ 60\)

-5≤x≤10

\(40 ≥ 2y + 4 ≥ 8\)

36≥2y≥4

18≥y≥2

now we have values of both x and y. To get max value we have take max value of x and lowest value of y.

-5 ≤ x≤ 10
2 ≤y ≤18

x - y = 10 - 2 = 8.

D is the correct answer.
SVP
SVP
User avatar
G
Joined: 18 Aug 2017
Posts: 1887
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
Re: If -30 ≤ 6x ≤ 60 and 40 ≥ 2y + 4 ≥ 8, what is the greatest possible va  [#permalink]

Show Tags

New post 28 Jan 2019, 04:37
Bunuel wrote:
If \(-30 ≤ 6x ≤ 60\) and \(40 ≥ 2y + 4 ≥ 8\), what is the greatest possible value of x − y ?

A. 23
B. 13
C. 10
D. 8
E. 6


-5≤x≤10
8≥y≥2

greatest value of x-y
x has to be +ve and y min
10-2 ; 8
IMO D
_________________

If you liked my solution then please give Kudos. Kudos encourage active discussions.

GMAT Club Bot
Re: If -30 ≤ 6x ≤ 60 and 40 ≥ 2y + 4 ≥ 8, what is the greatest possible va   [#permalink] 28 Jan 2019, 04:37
Display posts from previous: Sort by

If -30 ≤ 6x ≤ 60 and 40 ≥ 2y + 4 ≥ 8, what is the greatest possible va

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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®.