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.

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:

Does GMAT RC seem like an uphill battle? e-GMAT is conducting a free webinar to help you learn reading strategies that can enable you to solve 700+ level RC questions with at least 90% accuracy in less than 10 days. Sat., Oct 19th at 7 am PDT

Re: Is 12 a factor of the positive integer n?
[#permalink]

Show Tags

08 Nov 2017, 22:10

Bunuel wrote:

Is 12 a factor of the positive integer n?

(1) n is a factor of 36.

(2) 3 is a factor of n.

Is 12 a factor of n--> does n have 2^2 *3 ?

1.n is a factor of 36 36= 2^2 * 3^2 Not sufficient since n can be 1 , multiple of 2 or 3 or can be 12 or a multiple of 12

2. 3 is a factor of n Not sufficient as if n might have 2^2 also

Combining 1 and 2 , we get Not sufficient If n = 12 or its multiple , then Yes If n = 3 , then No

Answer E
_________________

When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long

Re: Is 12 a factor of the positive integer n?
[#permalink]

Show Tags

09 Nov 2017, 17:35

3

Top Contributor

Bunuel wrote:

Is 12 a factor of the positive integer n?

(1) n is a factor of 36.

(2) 3 is a factor of n.

Target question:Is 12 a factor of the positive integer n?

Statement 1: n is a factor of 36 This statement doesn't FEEL sufficient, so I'll TEST some values. There are several values of n that satisfy statement 1. Here are two: Case a: n = 12, in which case 12 IS a factor of n Case b: n = 6, in which case 12 is NOT a factor of n Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: 3 is a factor of n Once again, there are several values of n that satisfy statement 2. Here are two: Case a: n = 12, in which case 12 IS a factor of n Case b: n = 6, in which case 12 is NOT a factor of n Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined IMPORTANT: Notice that I was able to use the same counter-examples to show that each statement ALONE is not sufficient. So, the same counter-examples will satisfy the two statements COMBINED. In other words, Case a: n = 12, in which case 12 IS a factor of n Case b: n = 6, in which case 12 is NOT a factor of n Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Re: Is 12 a factor of the positive integer n?
[#permalink]

Show Tags

12 Nov 2017, 08:41

Bunuel wrote:

Is 12 a factor of the positive integer n?

(1) n is a factor of 36.

(2) 3 is a factor of n.

We need to determine whether n/12 = integer.

Statement One Alone:

n is a factor of 36.

We do not have enough information to answer the question. If n is 1, then n/12 is not an integer; however, if n is 36, then n/12 is an integer. Statement one alone is not sufficient to answer the question.

Statement Two Alone:

3 is a factor or n.

We do not have enough information to answer the question. If n is 3, then n/12 is not an integer; however, if n is 36, then n/12 is an integer. Statement two alone is not sufficient to answer the question.

Statements One and Two Together:

We still do not have enough information to answer the question. If n is 3, then n/12 is not an integer; however, if n is 36, then n/12 is an integer.

Re: Is 12 a factor of the positive integer n?
[#permalink]

Show Tags

16 Nov 2018, 13:50

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.
_________________