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 350,000 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: PS. Remainders [#permalink]
16 Apr 2008, 14:53

kevincan wrote:

How many different positive integers d are there such that 48 divided by d yields a remainder of d - 4?

Two Three Four Five Six

Three.

48 = d*n + (d-4) 52 = d*(n+1) We know that 52 = 2*2*13 = 2^2 * 13^1, which yields 3*2 = 6 factors. The 6 factors are: 1, 2, 4, 13, 26, 52 This means d can only equal to these 6 numbers

List them out (d, remainder of 48/d, d-4) (1, 0, -3) <-No (2, 0, -2) <-No (4, 0, 0) <-Yes (13, 9, 9) <-Yes (26, 22, 22) <-Yes 52 cannot yield remainder.

Re: PS. Remainders [#permalink]
16 Apr 2008, 20:57

bkk145 wrote:

kevincan wrote:

How many different positive integers d are there such that 48 divided by d yields a remainder of d - 4?

Two Three Four Five Six

Three.

48 = d*n + (d-4) 52 = d*(n+1) We know that 52 = 2*2*13 = 2^2 * 13^1, which yields 3*2 = 6 factors. The 6 factors are: 1, 2, 4, 13, 26, 52 This means d can only equal to these 6 numbers

List them out (d, remainder of 48/d, d-4) (1, 0, -3) <-No (2, 0, -2) <-No (4, 0, 0) <-Yes (13, 9, 9) <-Yes (26, 22, 22) <-Yes 52 cannot yield remainder.

d can be 4, 13, 26

beautiful work but, imo, we can add 52 as well. 48 divided by 52 has a reminder of 48 which is equal to 52 - 4.

so possible values for d = 4, 13, 26 and 52. _________________

Originally posted on MIT Sloan School of Management : We are busy putting the final touches on our application. We plan to have it go live by July 15...