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: DS: Are all the numbers in a certain list integers/ [#permalink]

Show Tags

29 Nov 2009, 11:52

B. (1) says nothing. (2) the list incluses a,b,c...n (n=20) numbers. a+b=b+c=> a=c. a+c=c+d=> a=d Similarly, a=b=c=....=n. Hence all the numbers are equal. B.
_________________

Re: Are all the numbers in a certain list of 20 numbers equal? [#permalink]

Show Tags

11 Jul 2013, 22:10

1

This post received KUDOS

Mountain14 wrote:

GMAT TIGER wrote:

Are all the numbers in a certain list of 20 numbers equal?

1) The sum of any 2 numbers in the list is an integer. 2) The sum of any 2 numbers in the list is 10.

Hi All,

Though its an old post, but I am unable to understand why B is the answer....

From Stm#2 - ( 2, 4,5,5,6....)

4+6 = 10 5+5=10 ...

So, how can be prove the numbers are equal??

If the list is as you say ( 2, 4,5,5,6....), then the sum of ANY two numbers wont be 10.. eg :2+4 = 6, 2+6 = 8, 2+5=7, 4+4 = 8, 6+6 = 12
_________________

Did you find this post helpful?... Please let me know through the Kudos button.

Are all the numbers in a certain list of 20 numbers equal?

1) The sum of any 2 numbers in the list is an integer. 2) The sum of any 2 numbers in the list is 10.

Hi All,

Though its an old post, but I am unable to understand why B is the answer....

From Stm#2 - ( 2, 4,5,5,6....)

4+6 = 10 5+5=10 ...

So, how can be prove the numbers are equal??

Are all the numbers in a certain list of 20 numbers equal?

(1) The sum of any 2 numbers in the list is an integer. Clearly insufficient. For example, consider {0.5, 0.5, 0.5, ..., 0.5, 1.5} or {1, 1, 1, ...}

(2) The sum of any 2 numbers in the list is 10. Since the sum of ANY 2 numbers is 10, then ALL numbers must equal to 10/2=5, because if not all the numbers equal to 5, then we could pick certain set of 2 numbers so that their sum is not 10. Sufficient.

Re: Are all the numbers in a certain list of 20 numbers equal? [#permalink]

Show Tags

26 Mar 2015, 18:16

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.
_________________

We're told that there are 20 numbers in a list. We're asked if all of the numbers are EQUAL. This is a YES/NO question.

Fact 1: The sum of ANY 2 numbers in the list is an integer.

This Fact tells us that ALL of the numbers are either integers OR ALL of the numbers end in .5

IF..... The list is twenty 1/2s, then taking the sum of ANY 2 will give you an integer. The answer to the question is YES.

IF.... The list is the twenty integers from 1 to 20 inclusive, then taking the sum of ANY 2 will give you an integer. The answer to the question is NO. Fact 1 is INSUFFICIENT.

Fact 2: The sum of ANY 2 numbers in the list is 10.

You have to think about what this means conceptually....

The 'easy' way to think about this is if ALL twenty numbers are 5s. In this way, taking the sum of ANY 2 of these numbers will give a sum of 10. The answer to the question is YES.

You might also consider a list that is made up of ten 0s and ten 10s. HOWEVER, taking the sum of 2 numbers from this list does NOT NECESSARILY give us a sum of 10. If you take two 0s, then the sum is 0. If you take two 10s, then the sum is 20. This example PROVES that the list CANNOT have different values in it (and by extension, ALL 20 terms MUST be 5). Fact 2 is SUFFICIENT

Re: Are all the numbers in a certain list of 20 numbers equal? [#permalink]

Show Tags

29 Jul 2016, 11:26

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.
_________________

Hey, guys, So, I’ve decided to run a contest in hopes of getting the word about the site out to as many applicants as possible this application season...

Whether you’re an entrepreneur, aspiring business leader, or you just think that you may want to learn more about business, the thought of getting your Masters in Business Administration...

Whether you’re an entrepreneur, aspiring business leader, or you just think that you may want to learn more about business, the thought of getting your Masters in Business Administration...