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

It is currently 23 May 2019, 11:06

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

The mean of a list of six different positive integers is 68. Four of

  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: 55266
The mean of a list of six different positive integers is 68. Four of  [#permalink]

Show Tags

New post 26 Mar 2018, 00:12
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

72% (01:46) correct 28% (02:01) wrong based on 91 sessions

HideShow timer Statistics

Senior Manager
Senior Manager
avatar
S
Joined: 15 Jan 2017
Posts: 351
Re: The mean of a list of six different positive integers is 68. Four of  [#permalink]

Show Tags

New post 26 Mar 2018, 00:41
161 --> 38+57+65+86 = 246

246 + x(the two other integers) = 6(68)
246 + x = 408
x = 162

Since question stem says 'integer' --> the least has to be 1, and most has to be 161.
So ans = 161.


Will wait for OA
Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 2755
Re: The mean of a list of six different positive integers is 68. Four of  [#permalink]

Show Tags

New post 26 Mar 2018, 09:29
Bunuel wrote:
The mean of a list of six different positive integers is 68. Four of the integers in the list are 38, 57, 65, and 86. What is the maximum possible value of the greatest of the six integers?

(A) 86
(B) 87
(C) 123
(D) 161
(E) 162

To maximize one of two integers, minimize the other.

We need (sum of all numbers) - (sum of given 4) = total left to split between the two unknowns

Sum of all 6 integers
\(A*n = S\)
\(68 * 6 = 408\)


Sum of 4 known integers
\(38+57+65+86 = 246\)

Remaining amount to split between two unknowns:
\((408 - 246) = 162\)
Minimize one number.
Smallest possible integer: 1
The other number, maximized, is 161

Answer D
_________________
Listen, are you breathing just a little, and calling it a life?
-- Mary Oliver

For practice SC questions go to SC Butler, here.


Please DO NOT write short answers in your verbal posts! Such answers will be deleted.
Target Test Prep Representative
User avatar
D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 6207
Location: United States (CA)
Re: The mean of a list of six different positive integers is 68. Four of  [#permalink]

Show Tags

New post 27 Mar 2018, 11:32
Bunuel wrote:
The mean of a list of six different positive integers is 68. Four of the integers in the list are 38, 57, 65, and 86. What is the maximum possible value of the greatest of the six integers?

(A) 86
(B) 87
(C) 123
(D) 161
(E) 162


The sum of the integers is 6 x 68 = 408.

To maximize the value of the greatest integer, we minimize the sum of the other 5 integers, which means that the value of the smallest integer must be 1. If we let m = the value of the largest integer, the sum of the 6 integers is:

1 + 38 + 57 + 65 + 86 + m = 408

247 + m = 408

m = 161

Answer: D
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Intern
Intern
avatar
B
Joined: 27 Aug 2016
Posts: 15
Re: The mean of a list of six different positive integers is 68. Four of  [#permalink]

Show Tags

New post 06 Apr 2018, 01:37
1
Bunuel, how is it that the OA is option C (123) instead of option D (161)?
Please clarify.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 55266
Re: The mean of a list of six different positive integers is 68. Four of  [#permalink]

Show Tags

New post 06 Apr 2018, 02:05
GMAT Club Bot
Re: The mean of a list of six different positive integers is 68. Four of   [#permalink] 06 Apr 2018, 02:05
Display posts from previous: Sort by

The mean of a list of six different positive integers is 68. Four of

  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®.