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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Re: Are all of the numbers in a certain list of 15 numbers [#permalink]

Show Tags

26 Nov 2009, 18:09

1

This post received KUDOS

B Let's say the list includes a,b,c,d... According to B, a+b+c = b+c+d = 12 => a=d. Similarly, all numbers in the list are equal. Hence B.
_________________

Re: Are all of the numbers in a certain list of 15 numbers [#permalink]

Show Tags

27 Nov 2009, 20:28

let analyze satement 2

the sum of any 3 numbers is 12.

let assume 15 numbers are a,b,c,d,e,f,g,h,i,j,k,l,m,n,o

For example a+b+c= 4+4+4=12,d+e+f=4+4+4=12,if we assume like this then statement b is sufficient

but what can i do if a+b+c= 4+4+4=12,d+e+f=4+3+5=12,g+h+i=1+6+5=12......from this example all numbers couldnt be equal so b is not sufficient .plz expain

Re: Are all of the numbers in a certain list of 15 numbers [#permalink]

Show Tags

27 Nov 2009, 20:33

TomB wrote:

let analyze satement 2

the sum of any 3 numbers is 12.

let assume 15 numbers are a,b,c,d,e,f,g,h,i,j,k,l,m,n,o

For example a+b+c= 4+4+4=12,d+e+f=4+4+4=12,if we assume like this then statement b is sufficient

but what can i do if a+b+c= 4+4+4=12,d+e+f=4+3+5=12,g+h+i=1+6+5=12......from this example all numbers couldnt be equal so b is not sufficient .plz expain

if we take f,h,i from ur list the sum is not 12, from S2, any 3 numbers should total 12... so they all have to be 4
_________________

Thanks, Sri ------------------------------- keep uppp...ing the tempo...

Press +1 Kudos, if you think my post gave u a tiny tip

Re: Are all of the numbers in a certain list of 15 numbers [#permalink]

Show Tags

28 Nov 2009, 22:04

JimmyWorld wrote:

Are all the numbers in a certain list of 15 numbers equal?

1) The sum of all the numbers in the list of 60. 2) The sum of any 3 numbers in the list is 12.

Not sure on 2). Wonder if someone could explain? Thank you

Look for the clue: sum of "any three number" is 12.

Sum of any 3 numbers from a, b, c, d, e, f, g, h, i, j must be 12. That is possible only if all these numbers must be equall and integers i.e. 4.

TomB wrote:

let analyze satement 2

the sum of any 3 numbers is 12.

let assume 15 numbers are a,b,c,d,e,f,g,h,i,j,k,l,m,n,o

For example a+b+c= 4+4+4=12,d+e+f=4+4+4=12,if we assume like this then statement b is sufficient

but what can i do if a+b+c= 4+4+4=12,d+e+f=4+3+5=12,g+h+i=1+6+5=12......from this example all numbers couldnt be equal so b is not sufficient .plz expain

Re: Are all of the numbers in a certain list of 15 numbers [#permalink]

Show Tags

26 Sep 2011, 04:04

1

This post received KUDOS

JimmyWorld wrote:

Are all of the numbers in a certain list of 15 numbers equal?

1) The sum of all the numbers in the list is 60. 2) The sum of any 3 numbers in the list is 12.

Its B

Data from question stem: total numbers = 15

Statement 1: If the sum of all numbers in list in 60, we can not be sure that all are equal. Lets prove it with simple examples.. If 14 numbers are 0 and 1 number is 60...the sum is still 60 but all numbers are not equal... (Answer to question NO) or if all numbers are 4, the sum is 60 and all numbers are equal (Answer to question YES)

Hence INSUFFICIENT

Statement 2: sum of any 3 numbers is 12..all numbers have to be 4.. Hence SUFFICIENT

Time taken: 44 secs
_________________

Ifmypostdida dancein your mind, send methe stepsthrough kudos :)

My MBA journey at http://mbadilemma.wordpress.com/

Re: Are all of the numbers in a certain list of 15 numbers [#permalink]

Show Tags

27 Sep 2011, 00:44

GMATmission wrote:

JimmyWorld wrote:

Are all of the numbers in a certain list of 15 numbers equal?

1) The sum of all the numbers in the list is 60. 2) The sum of any 3 numbers in the list is 12.

Its B

Data from question stem: total numbers = 15

Statement 1: If the sum of all numbers in list in 60, we can not be sure that all are equal. Lets prove it with simple examples.. If 14 numbers are 0 and 1 number is 60...the sum is still 60 but all numbers are not equal... (Answer to question NO) or if all numbers are 4, the sum is 60 and all numbers are equal (Answer to question YES)

Hence INSUFFICIENT

Statement 2: sum of any 3 numbers is 12..all numbers have to be 4.. Hence SUFFICIENT

Time taken: 44 secs

Statement 2: sum of any 3 number is 12..there are various possiblities.. for example number 8 number 2 and number 2 can add to 12.. hence number 8, 2 ,and 2 can be part of the list... as you pointed out all three numbers can be 4.. so statement 2 is insufficient...
_________________

Re: Are all of the numbers in a certain list of 15 numbers [#permalink]

Show Tags

27 Sep 2011, 01:01

nishtil wrote:

GMATmission wrote:

JimmyWorld wrote:

Are all of the numbers in a certain list of 15 numbers equal?

1) The sum of all the numbers in the list is 60. 2) The sum of any 3 numbers in the list is 12.

Its B

Data from question stem: total numbers = 15

Statement 1: If the sum of all numbers in list in 60, we can not be sure that all are equal. Lets prove it with simple examples.. If 14 numbers are 0 and 1 number is 60...the sum is still 60 but all numbers are not equal... (Answer to question NO) or if all numbers are 4, the sum is 60 and all numbers are equal (Answer to question YES)

Hence INSUFFICIENT

Statement 2: sum of any 3 numbers is 12..all numbers have to be 4.. Hence SUFFICIENT

Time taken: 44 secs

Statement 2: sum of any 3 number is 12..there are various possiblities.. for example number 8 number 2 and number 2 can add to 12.. hence number 8, 2 ,and 2 can be part of the list... as you pointed out all three numbers can be 4.. so statement 2 is insufficient...

2) The sum of ANY 3 numbers in the list is 12.

Try writing a set of 15 numbers such that if you pick ANY 3 numbers randomly, the sum should be 12.

{8, 2, 2} Say these 3 of the numbers from the set. What can be the 4th number?
_________________

Re: Are all of the numbers in a certain list of 15 numbers [#permalink]

Show Tags

21 Feb 2016, 16:21

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.
_________________

Are all of the numbers in a certain list of 15 numbers equal?

(1) The sum of all the numbers in the list is 60. Clearly insufficient.

(2) The sum of any 3 numbers in the list is 12. Since the sum of ANY 3 numbers is 12 then ALL numbers must equal to 12/3=4, because if not all the numbers equal to 4, then we could pick certain set of 3 numbers so that their sum is not 12. Sufficient.

Its been long time coming. I have always been passionate about poetry. It’s my way of expressing my feelings and emotions. And i feel a person can convey...

Written by Scottish historian Niall Ferguson , the book is subtitled “A Financial History of the World”. There is also a long documentary of the same name that the...

Post-MBA I became very intrigued by how senior leaders navigated their career progression. It was also at this time that I realized I learned nothing about this during my...