Author 
Message 
TAGS:


GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4749
WE: Business Development (Energy and Utilities)
Followers: 93
Kudos [?]:
1652
[1]
, given: 396

The average (arithmetic mean) of seven distinct integers is [#permalink]
30 Aug 2018, 07:40
1
This post received KUDOS
Question Stats:
38% (01:00) correct
61% (01:22) wrong based on 18 sessions
The average (arithmetic mean) of seven distinct integers is 12, and the least of these integers is –15.
Quantity A 
Quantity B 
The maximum possible value of the greatest of these integers 
\(84\) 
A) Quantity A is greater. B) Quantity B is greater. C) The two quantities are equal. D) The relationship cannot be determined from the information given.
_________________
Sandy If you found this post useful, please let me know by pressing the Kudos Button
Try our free Online GRE Test




Intern
Joined: 03 Sep 2018
Posts: 2
Followers: 0
Kudos [?]:
0
[0], given: 0

Re: The average (arithmetic mean) of seven distinct integers is [#permalink]
04 Sep 2018, 02:01
Dear Sandy, need explanation, pls



Intern
Joined: 27 Aug 2018
Posts: 36
Followers: 0
Kudos [?]:
16
[0], given: 7

Re: The average (arithmetic mean) of seven distinct integers is [#permalink]
04 Sep 2018, 06:50
The answer is D.
The average of seven distinct integers is 12. That means that the sum of seven distinct integers is 84.
Since the lowest integer in the set is 15, it means that the sum of the biggest six integers is 84(15) = 99.
From here, the maximum value can be less, equal, or greater than 84.
Set 1: 15, [ 0, 1, 2, 3, 4, 30, 59 ] Set 2: 15, [ 0, 1, 2, 3, 4, 5, 84 ] Set 3: 15, [ 1, 0, 1, 2, 3, 4, 90 ]



Intern
Joined: 18 Aug 2018
Posts: 3
Followers: 0
Kudos [?]:
1
[0], given: 0

Re: The average (arithmetic mean) of seven distinct integers is [#permalink]
04 Sep 2018, 11:38
Nomad wrote: The answer is D.
The average of seven distinct integers is 12. That means that the sum of seven distinct integers is 84.
Since the lowest integer in the set is 15, it means that the sum of the biggest six integers is 84(15) = 99.
From here, the maximum value can be less, equal, or greater than 84.
Set 1: 15, [ 0, 1, 2, 3, 4, 30, 59 ] Set 2: 15, [ 0, 1, 2, 3, 4, 5, 84 ] Set 3: 15, [ 1, 0, 1, 2, 3, 4, 90 ] Yes, but that makes A correct, not D. Read it again. It says "The maximum possible value of the greatest of these integers".



Intern
Joined: 22 Aug 2018
Posts: 25
Followers: 0
Kudos [?]:
4
[0], given: 4

Re: The average (arithmetic mean) of seven distinct integers is [#permalink]
07 Sep 2018, 08:17
Can anyone give the solution to this?
My approach: There are 7 terms, 15 is lowest. So (15+x1+x2+x3+x4+x5+x6)/7 =12 In order to get maximum we set all to zero and then find the average which gives 15+0+0+0+0+0+x = 84 x = 84+15 x=99
Is this approach correct?



Director
Joined: 07 Jan 2018
Posts: 553
Followers: 4
Kudos [?]:
477
[1]
, given: 84

Re: The average (arithmetic mean) of seven distinct integers is [#permalink]
07 Sep 2018, 09:16
1
This post received KUDOS
First find the sum of all the 7 numbers which is equal to avg time no of terms = 7*12 = 84 Now, if the lowest of the 7 terms is 15 and all terms are different, in order to make the greatest no as great as possible we have to limit other numbers to as small as possible. Therefore the six numbers should be 15,14,13,12,11,10. The sum of these numbers = 75 we know that 75+x = 84 therefore x = 159. Hence the maximum possible value of greatest number is 159.
_________________
This is my response to the question and may be incorrect. Feel free to rectify any mistakes




Re: The average (arithmetic mean) of seven distinct integers is
[#permalink]
07 Sep 2018, 09:16





