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:

Re: If m and n are positive integers such that m is a factor of [#permalink]
04 Oct 2011, 20:10

1

This post received KUDOS

kulki wrote:

If m and n are positive integers such that m is a factor of n, how many positive multiples of m are less than or equal to 2n ? a. 2m/n + 1 b. 2n/m + 1 c. 2n/(m+1) d. 2m/n e. 2n/m

what is the best method to approach problems like these ? - Algebraic methods or substitution method ? Any advice ?

Lets say N=10, M=5 2N=20. so the answer should be 4 (20/5) lets try to plug in the answers: A-not an integer B-not an integer C-not an integer D-1 (not the answer) E-4 - the answer. (the only one).

I would choose E.

Method 2 N=M*A (A is an integer) So - A=N/M therefore in 2N A will be 2N/M

Again - Answer is E.

Hope it helps.

*** personally - I love the mathematical approach. Easier for me, however, many people like the plug in numbers approach. It is important to master both methods so if one doesnt work, you can try the other. _________________

Re: If m and n are positive integers such that m is a factor of [#permalink]
06 Oct 2011, 03:25

8

This post received KUDOS

Expert's post

2

This post was BOOKMARKED

kulki wrote:

If m and n are positive integers such that m is a factor of n, how many positive multiples of m are less than or equal to 2n ? a. 2m/n + 1 b. 2n/m + 1 c. 2n/(m+1) d. 2m/n e. 2n/m

what is the best method to approach problems like these ? - Algebraic methods or substitution method ? Any advice ?

I don't think there is anything called 'the best approach'. Each person uses what works best for her/him. I jump to plugging in numbers whenever I see variables in the questions and variables in the options. I know that within 1 or 2 iterations, I should get my answer. I also like to choose the simplest possible numbers. e.g. here I would put m = 1 and n = 1 (both positive integers and m is a factor of n). But the moment I put them equal, I see that options d and e will be the same. So instead, I put m = 1 and n = 2. 2n = 4. Number of positive multiples of 1 that are less than or equal to 4 = 4 (1, 2, 3, 4) Only e gives me 4 when I put n = 2 and m = 1 Answer (E).

Mind you, it is not a good idea to plug in numbers when you have 3-4 variables since you might just get lost in them. _________________

Re: If m and n are positive integers such that m is a factor of [#permalink]
07 Oct 2011, 09:34

2

This post received KUDOS

VeritasPrepKarishma wrote:

kulki wrote:

If m and n are positive integers such that m is a factor of n, how many positive multiples of m are less than or equal to 2n ? a. 2m/n + 1 b. 2n/m + 1 c. 2n/(m+1) d. 2m/n e. 2n/m

what is the best method to approach problems like these ? - Algebraic methods or substitution method ? Any advice ?

I don't think there is anything called 'the best approach'. Each person uses what works best for her/him. I jump to plugging in numbers whenever I see variables in the questions and variables in the options. I know that within 1 or 2 iterations, I should get my answer. I also like to choose the simplest possible numbers. e.g. here I would put m = 1 and n = 1 (both positive integers and m is a factor of n). But the moment I put them equal, I see that options d and e will be the same. So instead, I put m = 1 and n = 2. 2n = 4. Number of positive multiples of 1 that are less than or equal to 4 = 4 (1, 2, 3, 4) Only e gives me 4 when I put n = 2 and m = 1 Answer (E).

Mind you, it is not a good idea to plug in numbers when you have 3-4 variables since you might just get lost in them.

In case of 3-4 variables good to use the table to track.

Re: If m and n are positive integers such that m is a factor of [#permalink]
03 Jun 2012, 08:18

kulki wrote:

If m and n are positive integers such that m is a factor of n, how many positive multiples of m are less than or equal to 2n ? a. 2m/n + 1 b. 2n/m + 1 c. 2n/(m+1) d. 2m/n e. 2n/m

what is the best method to approach problems like these ? - Algebraic methods or substitution method ? Any advice ?

I think we can save some time here. It is a simple question asking the number of factors but in a twisted manner. For example, if I may ask how many positive multiples of 3 are less than or equal to 12 (6*2), given that 6 is multiple of 3. Its straight 12/3.

Re: If m and n are positive integers such that m is a factor of [#permalink]
10 Nov 2014, 21:44

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________

Low GPA MBA Acceptance Rate Analysis Many applicants worry about applying to business school if they have a low GPA. I analyzed the low GPA MBA acceptance rate at...

Every student has a predefined notion about a MBA degree:- hefty packages, good job opportunities, improvement in position and salaries but how many really know the journey of becoming...