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

It is currently 14 Dec 2019, 08:47

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 the positive integers x, y, and z is

  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: 59725
The average (arithmetic mean) of the positive integers x, y, and z is  [#permalink]

Show Tags

New post 30 Jul 2018, 21:59
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

68% (00:53) correct 32% (00:54) wrong based on 594 sessions

HideShow timer Statistics

Manager
Manager
User avatar
S
Joined: 01 Jan 2018
Posts: 78
Re: The average (arithmetic mean) of the positive integers x, y, and z is  [#permalink]

Show Tags

New post 30 Jul 2018, 22:02
The smallest positive integer is 1 and 2nd smallest 2.
So, 3*3 = 3+x.
Hence, x= 6. B is the correct choice.

Sent from my Redmi Note 3 using GMAT Club Forum mobile app
e-GMAT Representative
User avatar
V
Joined: 04 Jan 2015
Posts: 3158
Re: The average (arithmetic mean) of the positive integers x, y, and z is  [#permalink]

Show Tags

New post 30 Jul 2018, 22:06
4

Solution



Given:
    • The average (arithmetic mean) of the positive integers x, y, and z is 3
    • Also, x < y < z

To find:
    • The greatest possible value of z

Approach and Working:
As the average is 3,
    • Then sum of all 3 = 3 * 3 = 9

Also, x < y < z and each are positive integers.

To maximise z, we should take minimum value of x and y
    • Minimum possible x = 1
    • Minimum possible y = 2
    • Therefore, maximum possible z = 9 – (1 + 2) = 6

Hence, the correct answer is option B.

Answer: B
_________________
VP
VP
User avatar
D
Joined: 31 Oct 2013
Posts: 1492
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
CAT Tests
Re: The average (arithmetic mean) of the positive integers x, y, and z is  [#permalink]

Show Tags

New post 30 Jul 2018, 23:48
Bunuel wrote:
The average (arithmetic mean) of the positive integers x, y, and z is 3. If x < y < z, what is the greatest possible value of z ?

A. 5
B. 6
C. 7
D. 8
E. 9

NEW question from GMAT® Quantitative Review 2019


(PS00986)



Given

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

x + y+ z =9

In order to maximize z we must minimize x and y. Note: x<y<z and all are positive integers. So the minimum value we have is 1.

1 + 2 + 6 = 9

The best answer is B.
Board of Directors
User avatar
D
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4834
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User
Re: The average (arithmetic mean) of the positive integers x, y, and z is  [#permalink]

Show Tags

New post 31 Jul 2018, 08:18
Bunuel wrote:
The average (arithmetic mean) of the positive integers x, y, and z is 3. If x < y < z, what is the greatest possible value of z ?

A. 5
B. 6
C. 7
D. 8
E. 9

NEW question from GMAT® Quantitative Review 2019


(PS00986)


\(x + y + z = 9\)

We have to find the max value of z is minimizing the value of x & y

Since, \(x < y < z\), minimizing x & y will be -

x < y < z = 1 < 2 < 6 where x + y + z = 9, Thus 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 )
Manager
Manager
avatar
B
Joined: 20 Jun 2018
Posts: 72
Location: India
Re: The average (arithmetic mean) of the positive integers x, y, and z is  [#permalink]

Show Tags

New post 17 Aug 2018, 22:04
Bunuel so zero isn't counted as an integer? This always confuses me.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59725
Re: The average (arithmetic mean) of the positive integers x, y, and z is  [#permalink]

Show Tags

New post 17 Aug 2018, 22:44
1
1
Shbm wrote:
Bunuel so zero isn't counted as an integer? This always confuses me.


0 is an integer but it's neither positive nor negative.


ZERO.

1. 0 is an integer.

2. 0 is an even integer. An even number is an integer that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder and as zero is evenly divisible by 2 then it must be even.

3. 0 is neither positive nor negative integer (the only one of this kind).

4. 0 is divisible by EVERY integer except 0 itself.

Check for more below threads:
ALL YOU NEED FOR QUANT ! ! !
Ultimate GMAT Quantitative Megathread

Hope it helps.
_________________
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13737
Re: The average (arithmetic mean) of the positive integers x, y, and z is  [#permalink]

Show Tags

New post 30 Nov 2019, 07:05
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 Club Bot
Re: The average (arithmetic mean) of the positive integers x, y, and z is   [#permalink] 30 Nov 2019, 07:05
Display posts from previous: Sort by

The average (arithmetic mean) of the positive integers x, y, and z is

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





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