• NEW! FREE Beat The GMAT Quizzes
    NEW! FREE Beat The GMAT Quizzes
    NEW! FREE Beat The GMAT Quizzes
    Hundreds of Questions Highly Detailed Reporting Expert Explanations TAKE A FREE GMAT QUIZ
  • 7 CATs FREE!
    If you earn 100 Forum Points

    Engage in the Beat The GMAT forums to earn
    100 points for $49 worth of Veritas practice GMATs FREE

    Veritas Prep
    VERITAS PRACTICE GMAT EXAMS
    Earn 10 Points Per Post
    Earn 10 Points Per Thanks
    Earn 10 Points Per Upvote
    REDEEM NOW

Wat is the remainder when a +ve integer n is divided by 6???

This topic has 2 expert replies and 2 member replies

Wat is the remainder when a +ve integer n is divided by 6???

Post
I came across this question while trying the GMAT prep
Question: What is the remainder when a positive integer n is divided by 6?
(1)n is a multiple of 5
(2)n is a multiple of 12

Answer: B

Can somebody pls explain how the answer is derived?

My understanding of the question is if we can atleast narrow it down to a range of numbers which satisfy the condition of being divisible by 6 it is sufficient to answer the question, need not specifically find the remainder.

The first statement tells n is a multiple of 5, thus the range could be 5,10,15,20,25,30,35,40,45,50,55,60....Of this range, checking 10 for divisibility with 6, the remainder is 4.Similarly for 15, it is 3 and so on. Thus I am able to tell what the remainder is.

The second statement tells n is a multiple of 12, thus the range could be 12,24,36,48,60....Of this range, checking 12 for divisbilty with 6, the remainder is 0,Similarly for 24, again remainder is 0 and so on. Thus again I am able to tell what the remainder is.

So according to me the answer should be D (Each statement alone is sufficient).
But the answer given is B.
Had the question been what is the value of n , then B would have been the right answer.

Please help me in understanding what is wrong in my logic. Btw this type of question falls in which range like 300-500/600-700??

  • +1 Upvote Post
  • Quote
  • Flag

GMAT/MBA Expert

Post
sbhawal wrote:
I came across this question while trying the GMAT prep
Question: What is the remainder when a positive integer n is divided by 6?
(1)n is a multiple of 5
(2)n is a multiple of 12
The question stem asks for a SPECIFIC VALUE (the remainder when n is divided by 6).
One way to evaluate the statements is to test cases.
If the value is THE SAME in every case. then the statement is SUFFICIENT.
If the value is NOT THE SAME in every case, then the statement is INSUFFICIENT.

Statement 1:
Options for n = 5, 10, 15, 20...
When 10 is divided by 6, the remainder is 4.
When 15 is divided by 6, the remainder is 3.
Since the remainder can be different values, INSUFFICIENT.

Statement 2:
Options for n = 12, 24, 36, 48...
When 12 is divided by 6, the remainder is 0.
When 24 is divided by 6, the remainder is 0.
When 36 is divided by 6, the remainder is is 0.
Since the remainder is the same in every case, SUFFICIENT.

The correct answer is B.

_________________
Mitch Hunt
Private Tutor for the GMAT and GRE
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.
Student Review #1
Student Review #2
Student Review #3

  • +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.
Master | Next Rank: 500 Posts
Joined
04 Jul 2013
Posted:
490 messages
Followed by:
5 members
Upvotes:
83
Post
Hi Sbhawal

Quote:
My understanding of the question is if we can atleast narrow it down to a range of numbers which satisfy the condition of being divisible by 6 it is sufficient to answer the question, need not specifically find the remainder.

The first statement tells n is a multiple of 5, thus the range could be 5,10,15,20,25,30,35,40,45,50,55,60....Of this range, checking 10 for divisibility with 6, the remainder is 4.Similarly for 15, it is 3 and so on. Thus I am able to tell what the remainder is.
What you did is correct,
But, Thing you have to note is,
You got remainder 4 when you divide 10 by 6
and remainder 3 divide 15 by 6

Since remainder is changing.
Statement 1 is Insufficient.

Hope it helps you.

Regards,
Uva.

_________________
Known is a drop Unknown is an Ocean

  • +1 Upvote Post
  • Quote
  • Flag

GMAT/MBA Expert

Post
sbhawal wrote:
What is the remainder when a positive integer n is divided by 6?
(1)n is a multiple of 5
(2)n is a multiple of 12

Btw this type of question falls in which range like 300-500/600-700??
When posting questions, please use the spoiler function to hide the correct answer. This will allow others to attempt the question without seeing the final answer.

I'd say this questions falls in the 300 - 400 range.


Target question: What is the remainder when a positive integer n is divided by 6?

Statement 1: n is a multiple of 5
There are several values of n that satisfy this condition. Here are two:
Case a: n = 5, in which case the remainder is 5, when n is divided by 6
Case b: n = 10, in which case the remainder is 4, when n is divided by 6
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: n is a multiple of 12
In other words, n = 12k for some integer k
We can rewrite this as n = (6)(2)k for some integer k
From this, we can see that n is a multiple of 6, which means the remainder must equal 0, when n is divided by 6
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer = B

Cheers,
Brent

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

Sign up for free Question of the Day emails
And check out all of these 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!
Junior | Next Rank: 30 Posts Default Avatar
Joined
24 Oct 2013
Posted:
10 messages
Test Date:
04122013
Post
Ohk! Now I get it, the trick is about getting same value every time!!

Thanks!

Uva@90 wrote:
Hi Sbhawal

Quote:
My understanding of the question is if we can atleast narrow it down to a range of numbers which satisfy the condition of being divisible by 6 it is sufficient to answer the question, need not specifically find the remainder.

The first statement tells n is a multiple of 5, thus the range could be 5,10,15,20,25,30,35,40,45,50,55,60....Of this range, checking 10 for divisibility with 6, the remainder is 4.Similarly for 15, it is 3 and so on. Thus I am able to tell what the remainder is.
What you did is correct,
But, Thing you have to note is,
You got remainder 4 when you divide 10 by 6
and remainder 3 divide 15 by 6

Since remainder is changing.
Statement 1 is Insufficient.

Hope it helps you.

Regards,
Uva.
Very Happy

  • +1 Upvote Post
  • Quote
  • Flag
  • 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
  • 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
  • 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
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT
  • 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
  • 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
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

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

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep

Top First Responders*

1 Ian Stewart 44 first replies
2 Brent@GMATPrepNow 33 first replies
3 Scott@TargetTestPrep 32 first replies
4 Jay@ManhattanReview 24 first replies
5 GMATGuruNY 18 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 Scott@TargetTestPrep

Target Test Prep

149 posts
2 image description Max@Math Revolution

Math Revolution

93 posts
3 image description Ian Stewart

GMATiX Teacher

53 posts
4 image description Brent@GMATPrepNow

GMAT Prep Now Teacher

50 posts
5 image description GMATGuruNY

The Princeton Review Teacher

30 posts
See More Top Beat The GMAT Experts