 It is currently 26 Nov 2020, 21:16 ### 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

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. # The average (arithmetic mean) of seven distinct integers is  Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS: Retired Moderator Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 175

Kudos [?]: 3035  , given: 394

The average (arithmetic mean) of seven distinct integers is [#permalink]
1
KUDOS
Expert's post 00:00

Question Stats: 46% (00:54) correct 54% (01:04) wrong based on 50 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.
[Reveal] Spoiler: OA

_________________

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 , given: 0

Re: The average (arithmetic mean) of seven distinct integers is [#permalink]
Dear Sandy, need explanation, pls
Intern Joined: 27 Aug 2018
Posts: 36
Followers: 0

Kudos [?]: 21 , given: 7

Re: The average (arithmetic mean) of seven distinct integers is [#permalink]

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 [?]: 2  , given: 0

Re: The average (arithmetic mean) of seven distinct integers is [#permalink]
1
KUDOS

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: 29
Followers: 0

Kudos [?]: 6  , given: 4

Re: The average (arithmetic mean) of seven distinct integers is [#permalink]
1
KUDOS
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? Moderator  Joined: 07 Jan 2018
Posts: 697
Followers: 11

Kudos [?]: 785  , given: 88

Re: The average (arithmetic mean) of seven distinct integers is [#permalink]
4
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.
_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos

Intern Joined: 07 Mar 2020
Posts: 1
Followers: 0

Kudos [?]: 0 , given: 0

Re: The average (arithmetic mean) of seven distinct integers is [#permalink]
In the given information 1st distinct number is -15 as the problem mentions least
so we can find the sum of the rest 6 distinct numbers, let it be x

-15+x/7 = 12 => -15+x = 84 => x = 99

the sum of remaining 6 distinct number is 99

so, assuming
1st = -15
2nd = 0
3rd = 1
4th = 2
5th = 3
6th = 4
7th = 89

you can plug any number you want which is greater than -15 and sum up to 99, but A will always be the correct one. Re: The average (arithmetic mean) of seven distinct integers is   [#permalink] 07 Mar 2020, 05:50
Display posts from previous: Sort by

# The average (arithmetic mean) of seven distinct integers is  Question banks Downloads My Bookmarks Reviews Important topics  Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.