• examPAL
    Most awarded test prep in the world
    Now free for 30 days

    Available with Beat the GMAT members only code

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

    Available with Beat the GMAT members only code

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

    Available with Beat the GMAT members only code

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

    Available with Beat the GMAT members only code

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

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh

Is 4+n/6 an integer?

This topic has 4 expert replies and 1 member reply
raj44 Senior | Next Rank: 100 Posts Default Avatar
Joined
15 Mar 2014
Posted:
39 messages
Upvotes:
1

Is 4+n/6 an integer?

Post Tue Aug 12, 2014 12:41 am
Good Day,

The question is as follows:

Is 4+n/6 an integer?

1. n is a multiple of 3
2. n divided by 6 has a remainder of 0

Though the problem looks pretty straight forward, it underlines a very imp fact regarding Data Sufficiency YES/NO questions and this fact I want to be cleared!

Now, if we look at the individual statements, obviously we choose values and evaluate the Question Stem.

1. n is a multiple of 3

we can select n to be 3, in which the answer is NO and we can select n as 6 in which the answer is YES.

Since data sufficiency basically tests how the sufficiency of data is interpreted, my question is this...

Statement clearly gives us the answer as either YES or NO..and therefore we can answer the question stem as:

4+n/6 is an integer if n=6,12..and it is not an integer if n=3,5 etc

Moving on statement 2, which is sufficient to answer the question stem.

But, the answer is B and I feel it should be D since we can answer the question stem using each statement- either statement is sufficient by itself to determine YES/NO for an "IS" question.

Can someone please clarify my reasoning and advise where I am wrong?

Thanks
Rajeev

  • +1 Upvote Post
  • Quote
  • Flag
Post Tue Dec 19, 2017 9:20 am
raj44 wrote:
Is 4+n/6 an integer?

1. n is a multiple of 3
2. n divided by 6 has a remainder of 0
Since 4 is already an integer, we really need to determine whether n/6 is an integer.

Statement One Alone:

n is a multiple of 3.

Statement one is not sufficient to answer the question. If n = 3, then n/6 is not an integer; however, if n = 6, then n/6 is an integer.

Statement Two Alone:

n divided by 6 has a remainder of 0.

Using the information in statement two, we see that n is a multiple of 6, and thus n/6 is an integer.

Answer: B

_________________
Jeffrey Miller Head of GMAT Instruction

  • +1 Upvote Post
  • Quote
  • Flag

GMAT/MBA Expert

Post Tue Aug 12, 2014 4:10 pm
raj44 wrote:
Is 4 + n/6 an integer?

1) n is a multiple of 3
2) n divided by 6 has a remainder of 0

Target question: Is 4 + n/6 an integer?

Since 4 is an integer, 4 + n/6 will be an integer if and only if n/6 is an integer. Moreover, n/6 will be an integer if and only if n is divisible by 6. So, we can REPHRASE the target question as....

REPHRASED target question: Is n divisible by 6?

Aside: We have a free video with tips on rephrasing the target question: http://www.gmatprepnow.com/module/gmat-data-sufficiency?id=1100

Statement 1: n is a multiple of 3
There are several values of n that satisfy this condition. Here are two values that yield conflicting answers to the REPHRASED target question :
Case a: n = 3, in which case n is NOT divisible by 6
Case b: n = 6, in which case n IS divisible by 6
Since we cannot answer the REPHRASED target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: n divided by 6 has a remainder of 0
If n is divided 6 leaves remainder 0, then n is definitely divisible by 6.
Since we can answer the REPHRASED target question with certainty, statement 2 is SUFFICIENT

Answer = B

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!

GMAT/MBA Expert

Post Tue Aug 12, 2014 5:26 am
raj44 wrote:
Is 4+n/6 an integer?

1. n is a multiple of 3
2. n divided by 6 has a remainder of 0
Statement 1: n is multiple of 3
If n=3, then 4 + n/6 = 4 + 3/6 = 4.5.
Is 4.5 an integer?
NO.

If n=6, then 4 + n/6 = 4 + 6/6 = 5.
Is 5 an integer?
YES.

Since the answer is NO in the first case but YES in the second case, INSUFFICIENT.

Statement 2: n divided by 6 has a remainder of 0
In the words, n is a multiple of 6:
6, 12, 18, 24, 30, 36...

If n=6, then 4 + n/6 = 4 + 6/6 = 5.
Is 5 an integer?
YES.

If n=12, then 4 + n/6 = 4 + 12/6 = 6.
Is 6 an integer?
YES.

If n=30, then 4 + n/6 = 4 + 30/6 = 9.
Is 9 an integer?
YES.

Since the answer is YES in every case, SUFFICIENT.

The correct answer is B.

Quote:
Though the problem looks pretty straight forward, it underlines a very imp fact regarding Data Sufficiency YES/NO questions and this fact I want to be cleared!

Now, if we look at the individual statements, obviously we choose values and evaluate the Question Stem.

1. n is a multiple of 3

we can select n to be 3, in which the answer is NO and we can select n as 6 in which the answer is YES.

Since data sufficiency basically tests how the sufficiency of data is interpreted, my question is this...

Statement clearly gives us the answer as either YES or NO..and therefore we can answer the question stem as:

4+n/6 is an integer if n=6,12..and it is not an integer if n=3,5 etc

Moving on statement 2, which is sufficient to answer the question stem.

But, the answer is B and I feel it should be D since we can answer the question stem using each statement- either statement is sufficient by itself to determine YES/NO for an "IS" question.

Can someone please clarify my reasoning and advise where I am wrong?

Thanks
Rajeev
A statement is sufficient only if the answer to the question stem is THE SAME IN EVERY CASE.
Statement 2 yields the same answer in every case (YES).
Thus, statement 2 is SUFFICIENT.
Statement 1 yields YES in some cases but NO in others.
Since statement 1 does NOT yield the same answer in every case, statement 1 is INSUFFICIENT.

_________________
Mitch Hunt
GMAT Private Tutor
GMATGuruNY@gmail.com
If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon.
Available for tutoring in NYC and long-distance.
For more information, please email me at GMATGuruNY@gmail.com.

  • +1 Upvote Post
  • Quote
  • Flag
Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now.
raj44 Senior | Next Rank: 100 Posts Default Avatar
Joined
15 Mar 2014
Posted:
39 messages
Upvotes:
1
Post Tue Aug 12, 2014 7:56 am
Thank you Mitch! I feel much better now wrt IS data sufficiency questions !

  • +1 Upvote Post
  • Quote
  • Flag

GMAT/MBA Expert

Post Tue Aug 12, 2014 12:44 pm
Hi raj44,

Data Sufficiency questions are about whether the answers that you get to the given question are consistent or inconsistent.

Every DS question that you face on Test Day has AT LEAST one answer, but your task is to determine if the possible answers stay the same or vary.

If a series of results is consistent, then the given Fact is Sufficient.
If a series of results is inconsistent, then the given Fact is insufficient.

This applies to ALL DS questions (Yes/No and Value).

GMAT assassins aren't born, they're made,
Rich

_________________
Contact Rich at Rich.C@empowergmat.com

  • +1 Upvote Post
  • Quote
  • Flag

Best Conversation Starters

1 lheiannie07 108 topics
2 Roland2rule 63 topics
3 ardz24 63 topics
4 LUANDATO 50 topics
5 AAPL 42 topics
See More Top Beat The GMAT Members...

Most Active Experts

1 image description GMATGuruNY

The Princeton Review Teacher

152 posts
2 image description Jeff@TargetTestPrep

Target Test Prep

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

EMPOWERgmat

104 posts
4 image description Scott@TargetTestPrep

Target Test Prep

96 posts
5 image description Max@Math Revolution

Math Revolution

87 posts
See More Top Beat The GMAT Experts