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

It is currently 18 Oct 2019, 16:42

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 average (arithmetic mean) of four packages is 4 pounds. If the wei

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58453
The average (arithmetic mean) of four packages is 4 pounds. If the wei  [#permalink]

Show Tags

New post 08 Jan 2018, 23:30
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

73% (01:52) correct 27% (02:27) wrong based on 28 sessions

HideShow timer Statistics

The average (arithmetic mean) of four packages is 4 pounds. If the weight of the first package is x, and each package weighs two more pounds than the previous package, which of the following CANNOT be the total weight, in pounds, of any combination of the packages?

A. 9
B. 10
C. 12
D. 13
E. 14

_________________
Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3333
Location: India
GPA: 3.12
Re: The average (arithmetic mean) of four packages is 4 pounds. If the wei  [#permalink]

Show Tags

New post 09 Jan 2018, 00:02
Bunuel wrote:
The average (arithmetic mean) of four packages is 4 pounds. If the weight of the first package is x, and each package weighs two more pounds than the previous package, which of the following CANNOT be the total weight, in pounds, of any combination of the packages?

A. 9
B. 10
C. 12
D. 13
E. 14


If the average of four packages is 4 pounds, the total will be 16 pounds.
We have the weight of a package to be x. Since each package weighs 2
pounds more than the previous package, the other packages weigh x+2,
x+4,and x+6

x+x+2+x+4+x+6 = 16 => 4x+12 = 16 => x = 1

The weights of the packages are 1,3,5,and 7 pounds.

Evaluating answer options,
1+3+5(9) is possible
3+7(10) is possible
5+7(12) is possible
1+5+7(13) is possible

Only 14(Option E) is not possible as the total weight, in pounds, of any combination of the packages
_________________
You've got what it takes, but it will take everything you've got
GMAT Club Bot
Re: The average (arithmetic mean) of four packages is 4 pounds. If the wei   [#permalink] 09 Jan 2018, 00:02
Display posts from previous: Sort by

The average (arithmetic mean) of four packages is 4 pounds. If the wei

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





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