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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

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:

LCM*HCF = MN ( each of m, n are multiple of 6 --- assume m = 6k , k is +ve integer )

N =36*6/ 6k thus N = 36/k , since N is a multiple of 6 then k can only be (1,2,3,6)

if k is 1 thus N= 36, M = 6, if k = 2 thus N= 18 and M = 12 , IF K=3 then N= 12 , M = 18 , IF K = 6 then N= 6 and M = 36) the only option that satisfy the constraint ( 6<M<N) is when K= 2 and N=18 , M=12

Re: M and N are integers such that 6<M<N.What is the value of N? [#permalink]

Show Tags

10 Nov 2016, 23:00

Statement 1 tells us that between M and N, 2 and 3 are the lowest factors. However we do not know exactly who has 2 and who has 3; there can also be other factors between them. Insufficient.

Stamtement 2 tells us that 2^2 and 3^2 are the highest factors between M and N. However we do not know whether thats the only factors common between them or that there are lower factors of 2 and 3 between them than 2^2 and 2^3.

Combining both statements we understand that 2 and 3 are the lowest factors and 2^2 and 3^2 are the highest factors. So one of them must be 12 and the other must be 18. Since 6<M<N, N must be 18.

Re: M and N are integers such that 6<M<N.What is the value of N? [#permalink]

Show Tags

25 Jun 2017, 12:28

14101992 wrote:

Statement 1: greatest common divisor of M and N is 6. So, M and N are multiple of 6. But, an exact value of N cannot be determined. Insufficient!

Statement 2: LCM of M and N is 36. M can be 9 and N can be 12 or M can be 12 and N can be 18. Multiple possible answer. Insufficient!

Combining 1&2, M and N are multiple of 6 and LCM is 36. So the only possible values on M and N can be 12 and 18 respectively. Sufficient!

Answer C!

Hi 14101992,

Unfortunately your answer is incomplete.

According the statement 2, LCM can be 36 as well. The further constrain is given "by the formula (concept)": LCM*HCF = M*N --> 6*36, which tells that LCM cannot be 36 and so only M=12 and N=18 cen be the answer.

M and N are integers such that 6<M<N.What is the value of N? [#permalink]

Show Tags

28 Aug 2017, 07:02

Statement 1 and 2: are clearly NOT SUFFICIENT. Can anyone explain the easiest way how together they are sufficient. I just had a lucky guess 'C' which was correct. Thanks.
_________________

2017-2018 MBA Deadlines

Threadmaster for B-school Discussions Class of 2019: Mannheim Business School Class 0f 2020: HHL Leipzig

Version 8.1 of the WordPress for Android app is now available, with some great enhancements to publishing: background media uploading. Adding images to a post or page? Now...

Post today is short and sweet for my MBA batchmates! We survived Foundations term, and tomorrow's the start of our Term 1! I'm sharing my pre-MBA notes...

“Keep your head down, and work hard. Don’t attract any attention. You should be grateful to be here.” Why do we keep quiet? Being an immigrant is a constant...