Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

It is currently 17 Jul 2019, 09:51

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

If the average (arithmetic mean) of 16, 20, and n is between 18 and 21

  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: 56275
If the average (arithmetic mean) of 16, 20, and n is between 18 and 21  [#permalink]

Show Tags

New post 07 Aug 2018, 04:05
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

88% (01:06) correct 12% (01:11) wrong based on 52 sessions

HideShow timer Statistics


Director
Director
User avatar
V
Joined: 06 Jan 2015
Posts: 680
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)
Premium Member
Re: If the average (arithmetic mean) of 16, 20, and n is between 18 and 21  [#permalink]

Show Tags

New post 07 Aug 2018, 04:17
Bunuel wrote:
If the average (arithmetic mean) of 16, 20, and n is between 18 and 21, inclusive, what is the greatest possible value of n ?

(A) 18

(B) 21

(C) 27

(D) 54

(E) 63


what is the greatest possible value of n ?

Greatest possible value of n is possible when mean is 21

So 21*3 = 63

63-(16+20) = 27

Hence C

Another Approach,

By logic D & E are not possible bcoz mean = between 18 and 21

and if you take n= 18 it will be not greatest possible value of n
_________________
आत्मनॊ मोक्षार्थम् जगद्धिताय च

Resource: GMATPrep RCs With Solution
VP
VP
User avatar
D
Joined: 31 Oct 2013
Posts: 1392
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
If the average (arithmetic mean) of 16, 20, and n is between 18 and 21  [#permalink]

Show Tags

New post 07 Aug 2018, 04:35
Bunuel wrote:
If the average (arithmetic mean) of 16, 20, and n is between 18 and 21, inclusive, what is the greatest possible value of n ?

(A) 18

(B) 21

(C) 27

(D) 54

(E) 63



Note : we must take such a value of n for which the average must be in between 18 to 21, inclusive. It means 21 can be the average . We are looking fro greatest value of n. So, we must take 21 as average of this 3 numbers.


16 + 20 + n = 3*21

36 + n = 63

n = 27.

The best answer is C.
Retired Moderator
User avatar
D
Joined: 30 Jan 2015
Posts: 805
Location: India
Concentration: Operations, Marketing
GPA: 3.5
Re: If the average (arithmetic mean) of 16, 20, and n is between 18 and 21  [#permalink]

Show Tags

New post 07 Aug 2018, 07:29
1
(16 + 20 + n) / 3 = 21
36 + n = 21*3
n = 63 - 36
n =27

Hence, C.
_________________
The few, the fearless !

Thanks :-)
Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4512
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User
Re: If the average (arithmetic mean) of 16, 20, and n is between 18 and 21  [#permalink]

Show Tags

New post 07 Aug 2018, 07:35
Bunuel wrote:
If the average (arithmetic mean) of 16, 20, and n is between 18 and 21, inclusive, what is the greatest possible value of n ?

(A) 18

(B) 21

(C) 27

(D) 54

(E) 63


\(18 < \frac{16 + 20 + n}{3} < 21\)

Or, \(54 < 36 + n < 63\)

Or, \(18 < n < 27\), Among the given options only (B) fits it, Hence Answer must be (B)
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
GMAT Club Bot
Re: If the average (arithmetic mean) of 16, 20, and n is between 18 and 21   [#permalink] 07 Aug 2018, 07:35
Display posts from previous: Sort by

If the average (arithmetic mean) of 16, 20, and n is between 18 and 21

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





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