• 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
  • 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
  • The Princeton Review
    FREE GMAT Exam
    Know how you'd score today for $0

    Available with Beat the GMAT members only code

    MORE DETAILS
    The Princeton Review
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

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

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT
  • 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

If n is a member of the set {10, 15, 20, 25, 30, 35, 40}

This topic has 1 expert reply and 0 member replies

If n is a member of the set {10, 15, 20, 25, 30, 35, 40}

Post Tue Dec 05, 2017 9:29 am
If n is a member of the set {10, 15, 20, 25, 30, 35, 40}, what is the value of n?

(1) n is a multiple of 3.
(2) n is a multiple of 2.

The OA is option C.

How can I use both statements to get the value of n? Experts can you help me? Thanks.

  • +1 Upvote Post
  • Quote
  • Flag

GMAT/MBA Expert

aockert Newbie | Next Rank: 10 Posts Default Avatar
Joined
17 Nov 2017
Posted:
5 messages
Post Tue Dec 05, 2017 4:06 pm
The question here tells you that n is one of the 7 numbers listed.

Statement 1 says that n is a multiple of 3. This means that n is equal to 3x1, 3x2, 3x3...etc. To match this rule up with the set in the question, simply check to see which of those 7 numbers are divisible by 3.
15 and 30 are the only two numbers that are divisible by 3. Since there are two possibilities, Statement 1 is not sufficient to answer the question, so Answer A and Answer D are incorrect.

Now look at Statement 2. Apply the same method as before with 2 instead of 3. Since n is a multiple of 2, find which numbers in the set are divisible by 2.
10, 20, 30, and 40 are all divisible by 2. Here, there are 4 possibilities, so Statement 2 is not sufficient to answer the question. Answer B is incorrect.

If you combine Statement 1 and Statement 2, 30 is a multiple of BOTH 2 and 3. Since it is the only number that is true when looking at both statements, Answer C is correct.

  • +1 Upvote Post
  • Quote
  • Flag

Top First Responders*

1 GMATGuruNY 72 first replies
2 Rich.C@EMPOWERgma... 45 first replies
3 Brent@GMATPrepNow 43 first replies
4 Jay@ManhattanReview 27 first replies
5 ErikaPrepScholar 9 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

Most Active Experts

1 image description GMATGuruNY

The Princeton Review Teacher

133 posts
2 image description Rich.C@EMPOWERgma...

EMPOWERgmat

118 posts
3 image description Jeff@TargetTestPrep

Target Test Prep

105 posts
4 image description Max@Math Revolution

Math Revolution

93 posts
5 image description Scott@TargetTestPrep

Target Test Prep

92 posts
See More Top Beat The GMAT Experts