• Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • e-gmat Exclusive Offer
    Get 300+ Practice Questions
    25 Video lessons and 6 Webinars for FREE

    Available with Beat the GMAT members only code

    MORE DETAILS
    e-gmat Exclusive Offer
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh
  • Target Test Prep
    5-Day Free Trial
    5-day free, full-access trial TTP Quant

    Available with Beat the GMAT members only code

    MORE DETAILS
    Target Test Prep
  • examPAL
    Most awarded test prep in the world
    Now free for 30 days

    Available with Beat the GMAT members only code

    MORE DETAILS
    examPAL
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • Varsity Tutors
    Award-winning private GMAT tutoring
    Register now and save up to $200

    Available with Beat the GMAT members only code

    MORE DETAILS
    Varsity Tutors
  • Kaplan Test Prep
    Free Practice Test & Review
    How would you score if you took the GMAT

    Available with Beat the GMAT members only code

    MORE DETAILS
    Kaplan Test Prep
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT

Is 12 a factor of the positive integer n?

This topic has 2 expert replies and 0 member replies

Is 12 a factor of the positive integer n?

Post Thu Nov 09, 2017 4:10 pm
Is 12 a factor of the positive integer n?

(1) n is a factor of 36.
(2) 3 is a factor of n.

What's the best way to determine which statement is sufficient?

  • +1 Upvote Post
  • Quote
  • Flag
Post Tue Jan 09, 2018 10:33 am
ardz24 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.

Answer: E

_________________
Scott Woodbury-Stewart Founder and CEO

  • +1 Upvote Post
  • Quote
  • Flag

GMAT/MBA Expert

Post Thu Nov 09, 2017 4:32 pm
ardz24 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

Answer: E

Cheers,
Brent

_________________
Brent Hanneson – Founder of GMATPrepNow.com
Use our video course along with Beat The GMAT's free 60-Day Study Guide

Check out the online reviews of our course
Come see all of our free resources

  • +1 Upvote Post
  • Quote
  • Flag
GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months!

Best Conversation Starters

1 lheiannie07 108 topics
2 ardz24 68 topics
3 Roland2rule 65 topics
4 LUANDATO 53 topics
5 VJesus12 52 topics
See More Top Beat The GMAT Members...

Most Active Experts

1 image description GMATGuruNY

The Princeton Review Teacher

146 posts
2 image description Jeff@TargetTestPrep

Target Test Prep

119 posts
3 image description Rich.C@EMPOWERgma...

EMPOWERgmat

114 posts
4 image description Scott@TargetTestPrep

Target Test Prep

101 posts
5 image description EconomistGMATTutor

The Economist GMAT Tutor

85 posts
See More Top Beat The GMAT Experts