NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 12:42 It is currently 26 Apr 2024, 12:42
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

If the arithmetic mean of three positive integers is 8, what are the

SORT BY:
Date
Kudos
Tags:
Poor Qualityx      
Find Similar Topics 
Show Tags
Hide Tags
User avatar
B
Khawasbnam1
Intern
Intern
Joined: 15 Oct 2018
Posts: 1
Own Kudos [?]: 3 [3]
Given Kudos: 3
Send PM
If the arithmetic mean of three positive integers is 8, what are the [#permalink] New post   Updated on: 16 Dec 2018, 00:02
3
Bookmarks
00:00
A
B
C
D
E

Difficulty:

95% (hard)

Question Stats:

33% (02:13) correct 67% (01:54) wrong based on 91 sessions
Hide Show timer Statistics
If the arithmetic mean of three distinct positive integers is 8, what are the values of the integers?

(1) The largest integer is twice the smallest integer.
(2) One of the integer is 9.


Show Spoiler
The official answer was A. But I think both statements are sufficient. I need help on this question.


This Question is Locked Due to Poor Quality
Hi there,
The question you've reached has been archived due to not meeting our community quality standards. No more replies are possible here.
Looking for better-quality questions? Check out the 'Similar Questions' block below for a list of similar but high-quality questions.
Want to join other relevant Problem Solving discussions? Visit our Data Sufficiency (DS) Forum for the most recent and top-quality discussions.
Thank you for understanding, and happy exploring!
ShowHide Answer
Official Answer
A

Originally posted by Khawasbnam1 on 14 Dec 2018, 03:39.
Last edited by Gladiator59 on 16 Dec 2018, 00:02, edited 2 times in total.
Renamed the topic and edited the question. Edit 2: Added distinct
User avatar
S
vishalkazone
Manager
Manager
Joined: 08 Sep 2008
Posts: 105
Own Kudos [?]: 96 [2]
Given Kudos: 17
Location: India
Concentration: Operations, General Management
Schools: ISB '20
GPA: 3.8
WE:Operations (Transportation)
Send PM
Re: If the arithmetic mean of three positive integers is 8, what are the [#permalink] New post   14 Dec 2018, 03:51
2
Kudos
Is the answer is A?

Because it is not given that the three positive integer are distinct.
for statement :-1
Possibility:

5…9…10

6…6…12 so not sufficient.

St-2 not sufficient.

Combine:

only one set:

5...9....10.. Sufficient.
I think answer should be C.
What is the source?
avatar
S
Ritwick91
Intern
Intern
Joined: 24 Jul 2018
Posts: 41
Own Kudos [?]: 37 [1]
Given Kudos: 21
Location: India
Schools: IMD '21
GPA: 4
Send PM
Re: If the arithmetic mean of three positive integers is 8, what are the [#permalink] New post   15 Dec 2018, 23:38
1
Kudos
Khawasbnam1 wrote:
If the arithmetic mean of three positive integers is 8, what are the values of the integers?

(1) The largest integer is twice the smallest integer.
(2) One of the integer is 9.


Show Spoiler
The official answer was A. But I think both statements are sufficient. I need help on this question.


Given,
a+b+c=24

RTF: a=? b=? c=?

Option-1: Let us consider a=largest and c= smallest, then a=2c
So, a+b+c=2c+b+c=24
=> 3c+b=24

Now from here, as we don't know the value of b, we can't determine the value of b either. So not sufficient.

Option-2: One of the integer is 9.
So it can be either a, b or c. So not sufficient.

Option-1 + Option-2:
a=2c
Now, if a=9, then c will not be an integer => a cannot be 9
If c=9, then a=18 => a+c=27 (>24) => c cannot be 9 either
Hence, b can only take the value of 9

So, 2c+9+c=24 => 3c=15 => c =5
a=10, b=9, c=5....Sufficient.

Hence, IMO OA is wrong and ans should be C.
User avatar
D
Gladiator59
Director
Director
Joined: 16 Sep 2016
Status:It always seems impossible until it's done.
Posts: 645
Own Kudos [?]: 2055 [0]
Given Kudos: 174
GMAT 1: 740 Q50 V40
GMAT 2: 770 Q51 V42
Send PM
GMAT ToolKit User Reviews Badge
Re: If the arithmetic mean of three positive integers is 8, what are the [#permalink] New post   16 Dec 2018, 00:03
Updated the question to match the OA.

Best,
Gladi

Khawasbnam1 wrote:
If the arithmetic mean of three positive integers is 8, what are the values of the integers?

(1) The largest integer is twice the smallest integer.
(2) One of the integer is 9.


Show Spoiler
The official answer was A. But I think both statements are sufficient. I need help on this question.
avatar
B
surbhigoyal12
Intern
Intern
Joined: 17 May 2018
Posts: 1
Own Kudos [?]: 0 [0]
Given Kudos: 13
Send PM
Re: If the arithmetic mean of three positive integers is 8, what are the [#permalink] New post   28 Dec 2018, 07:04
The answer is A.
As the numbers are distinct and the average of all three is 8.

Let three numbers be a,b,c where c is largest and a is smallest.


Stmt 1: c=2a
Therefore, a+b+c=24
3a+b=24

Lets check with a=1, then c becomes 2 and b becomes 21.
Not correct as 'c' has to be largest

Try with a=2, 3,4 with all the cases b becomes largest.

Only a=5 is the case when c=10 and b=9.

Thus, Stmt 1 is sufficient.
avatar
B
Chanda15
Intern
Intern
Joined: 30 May 2018
Posts: 4
Own Kudos [?]: 8 [0]
Given Kudos: 1
Location: Canada
Send PM
Re: If the arithmetic mean of three positive integers is 8, what are the [#permalink] New post   07 Feb 2019, 10:45
St 1: 3a+b = 24

check for a = 5, 6

for a= 5, b =9 , c =10

for a = 6, b = 8, c = 12

In both cases a is smallest and c is largest.

We need St. 2 to eliminate option 2.

Ans should be C.

Am I missing something here ?
User avatar
B
kylebecker9
Intern
Intern
Joined: 05 Oct 2018
Posts: 32
Own Kudos [?]: 25 [1]
Given Kudos: 61
Location: United States
Schools: Wharton Exec '21 (M)
GMAT 1: 770 Q49 V47
GPA: 3.95
WE:General Management (Other)
Send PM
Re: If the arithmetic mean of three positive integers is 8, what are the [#permalink] New post   07 Feb 2019, 12:42
1
Kudos
Chanda15 wrote:
St 1: 3a+b = 24

check for a = 5, 6

for a= 5, b =9 , c =10

for a = 6, b = 8, c = 12

In both cases a is smallest and c is largest.

We need St. 2 to eliminate option 2.

Ans should be C.

Am I missing something here ?



6+8+12 = 26 <> 24
You would need 6, 6, and 12. In that case the numbers are not distinct, so only 5, 9, and 10 is possible from S1.

This Question is Locked Due to Poor Quality
Hi there,
The question you've reached has been archived due to not meeting our community quality standards. No more replies are possible here.
Looking for better-quality questions? Check out the 'Similar Questions' block below for a list of similar but high-quality questions.
Want to join other relevant Problem Solving discussions? Visit our Data Sufficiency (DS) Forum for the most recent and top-quality discussions.
Thank you for understanding, and happy exploring!
GMAT Club Bot
gmatclubot
Re: If the arithmetic mean of three positive integers is 8, what are the [#permalink]
07 Feb 2019, 12:42
Moderator:
Bunuel
Math Expert
92948 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions