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:

If p is a positive odd integer, what is the remainder when p [#permalink]
23 Jul 2007, 07:25

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If p is a positive odd integer, what is the remainder when p is divided by 4?

(1) When p is divided by 8, the remainder is 5.

(2) p is the sum of the squares of two positive integers.

I see how (2) is sufficient, but I thought (1) was not sufficient because let p=3. Then p/4=0 R 3. p/8=0 R 5. So does the remainder thing only apply when you get an answet that is greater than 0?

Re: Another GMAT prep [#permalink]
23 Jul 2007, 09:17

briks123 wrote:

If p is a positive odd integer, what is the remainder when p is divided by 4?

(1) When p is divided by 8, the remainder is 5.

(2) p is the sum of the squares of two positive integers.

I see how (2) is sufficient, but I thought (1) was not sufficient because let p=3. Then p/4=0 R 3. p/8=0 R 5. So does the remainder thing only apply when you get an answet that is greater than 0?

Yes, when a number (a) is divided by another number (b), and the remainder is >= 0, then a is >= b. So statement 1 states that when p/8, the remainder is 5. Therefore ,we know what p is greater than 8. So p can be 13, 21, ....

St1:
p = 8q1 + 5
q1 can be 1, then p = 13. p/4 -> R = 1
q1 can be 2, then p = 21. p/4 -> R = 1
q1 can be 3, then p = 29. p/4 -> R = 1
Seems R is always 1.
Sufficient.

St2:
p = x^2 + y^2
If x = 1, y = 2, then p = 5. p/4 -> R = 1
If x = 3, y = 2, then p = 13. p/4 -> R = 1
If x = 11, y = 20, then p = 521, p/4 -> R = 1
Seems R is always 1.
Sufficient.