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

It is currently 16 Oct 2018, 09:35

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 distinct integers x, y, and z is 1

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

Hide Tags

Current Student
User avatar
D
Joined: 12 Aug 2015
Posts: 2638
Schools: Boston U '20 (M)
GRE 1: Q169 V154
GMAT ToolKit User Premium Member
If the average (arithmetic mean) of distinct integers x, y, and z is 1  [#permalink]

Show Tags

New post 08 Aug 2017, 02:13
1
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

78% (00:40) correct 22% (00:54) wrong based on 91 sessions

HideShow timer Statistics

Director
Director
User avatar
P
Joined: 18 Aug 2016
Posts: 625
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
GMAT ToolKit User Premium Member Reviews Badge CAT Tests
Re: If the average (arithmetic mean) of distinct integers x, y, and z is 1  [#permalink]

Show Tags

New post 08 Aug 2017, 02:17
1
stonecold wrote:
If the average (arithmetic mean) of distinct positive integers x, y, and z is 10, what is the greatest possible value of z ?

A)30
B)28
C)27
D)26
E)10


x+y+z = 30
to maximize z we need to minimize x & y
since they are distinct positive integers x and y can take 1 and 2 respectively or vice versa

hence z will be 27
_________________

We must try to achieve the best within us


Thanks
Luckisnoexcuse

Director
Director
User avatar
D
Joined: 04 Dec 2015
Posts: 701
Location: India
Concentration: Technology, Strategy
Schools: ISB '19, IIMA , IIMB, XLRI
WE: Information Technology (Consulting)
GMAT ToolKit User
Re: If the average (arithmetic mean) of distinct integers x, y, and z is 1  [#permalink]

Show Tags

New post 08 Aug 2017, 02:46
stonecold wrote:
If the average (arithmetic mean) of distinct positive integers x, y, and z is 10, what is the greatest possible value of z ?

A)30
B)28
C)27
D)26
E)10


Average of distinct positive integers \(x,y\) and \(z = 10\)

\(\frac{x + y + z}{3} = 10\)

\(x + y + z = 10*3 => 30\)

For '\(z\)' to have greatest value, '\(x\)' and '\(y\)' should have minimum values.

Given the integers are distinct positive integers. Hence '\(x\)' and '\(y\)' could take values \(1\) and \(2\).

\(1 + 2 + z = 30 => 3 + z = 30\)

\(z = 30 - 3 => 27\)

Therefore the greatest possible value of \(z\) is \(= 27\)

Answer (C)...

_________________
Please Press "+1 Kudos" to appreciate. :)
Veritas Prep GMAT Instructor
User avatar
P
Joined: 16 Oct 2010
Posts: 8385
Location: Pune, India
Re: If the average (arithmetic mean) of distinct integers x, y, and z is 1  [#permalink]

Show Tags

New post 08 Aug 2017, 03:06
stonecold wrote:
If the average (arithmetic mean) of distinct positive integers x, y, and z is 10, what is the greatest possible value of z ?

A)30
B)28
C)27
D)26
E)10


If the average of the 3 numbers is 10, effectively each is 10. To maximise one number, the other two should be minimum. Since they must be positive integers and distinct, they would be 1 and 2.
The deviation of 9 and 8 would then be added to 10 to give 10+9+8 = 27.
Hence maximum value of z must be 27.

Answer (C)
_________________

Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >

GMAT self-study has never been more personalized or more fun. Try ORION Free!

Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3824
Location: United States (CA)
Re: If the average (arithmetic mean) of distinct integers x, y, and z is 1  [#permalink]

Show Tags

New post 10 Aug 2017, 10:52
stonecold wrote:
If the average (arithmetic mean) of distinct positive integers x, y, and z is 10, what is the greatest possible value of z ?

A)30
B)28
C)27
D)26
E)10


We can create the following equation, using the formula sum/number = average:

(x + y + z)/3 = 10

x + y + z = 30

If we let x = 1 and y = 2, then z = 30 - 3 = 27.

Answer: C
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 8415
Premium Member
Re: If the average (arithmetic mean) of distinct integers x, y, and z is 1  [#permalink]

Show Tags

New post 21 Sep 2018, 12:44
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: If the average (arithmetic mean) of distinct integers x, y, and z is 1 &nbs [#permalink] 21 Sep 2018, 12:44
Display posts from previous: Sort by

If the average (arithmetic mean) of distinct integers x, y, and z is 1

  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®.