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

It is currently 18 Oct 2018, 08:59

Booth R1 Calls in Progress:

Join us in the chat | track the decision tracker | See forum posts/summary


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

Let G and H be positive integers. 2G - 10 > -H and 3H - 20 < -G. If L

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

Hide Tags

Intern
Intern
User avatar
B
Joined: 07 May 2015
Posts: 46
Location: India
Schools: Darden '21
GPA: 4
Let G and H be positive integers. 2G - 10 > -H and 3H - 20 < -G. If L  [#permalink]

Show Tags

New post Updated on: 28 Sep 2018, 08:50
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

50% (01:55) correct 50% (02:15) wrong based on 28 sessions

HideShow timer Statistics

Let G and H be positive integers. \(2G - 10 > -H\) and \(3H - 20 < -G\). If L is the minimum value of G and M is the maximum value of H, then which of the following pair is (L,M) ?

A) (2,6)
B) (6,2)
C) (5,5)
D) (3,5)
E) (11,1)

Originally posted by reynaldreni on 28 Sep 2018, 08:11.
Last edited by Bunuel on 28 Sep 2018, 08:50, edited 1 time in total.
Renamed the topic and edited the question.
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6958
Re: Let G and H be positive integers. 2G - 10 > -H and 3H - 20 < -G. If L  [#permalink]

Show Tags

New post 28 Sep 2018, 10:37
reynaldreni wrote:
Let G and H be positive integers. \(2G - 10 > -H\) and \(3H - 20 < -G\). If L is the minimum value of G and M is the maximum value of H, then which of the following pair is (L,M) ?

A) (2,6)
B) (6,2)
C) (5,5)
D) (3,5)
E) (11,1)



2G-10>-H....(I)
3H-20<-G ......-G>3H-20 or -2G>6H-40....(II)
Add I and II

2G-10-2G>-H+6H-40.........-10>5H-40.......5H<30....H<6
So max value of H is 5

Now
2G-10>-H.......6G-30>-3H(I)
3H-20<-G ......-..(II)
Add I and II

3H-20-3H<6G-30-G......-20<5G-30........5G>10.......G>2
So minimum value of G is 3

So (L,M) is (3,5)

D
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

GMAT Club Bot
Re: Let G and H be positive integers. 2G - 10 > -H and 3H - 20 < -G. If L &nbs [#permalink] 28 Sep 2018, 10:37
Display posts from previous: Sort by

Let G and H be positive integers. 2G - 10 > -H and 3H - 20 < -G. If L

  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®.