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 the remainder is 1 when m is divided by 2 and the remainder is 3 [#permalink]

Show Tags

02 Jun 2017, 23:19

It is clear from the question that both m and n are odd and not even - if m was even - the remainder with 2 would be zero. and if n was even - it will either leave a remainder of 2 or 0 with four. This rules out option A and B. D and E are rejected as the product or quotient of two odd numbers will be odd. However, odd + odd = even, hence Answer C

Re: If the remainder is 1 when m is divided by 2 and the remainder is 3 [#permalink]

Show Tags

03 Jun 2017, 03:21

f the remainder is 1 when m is divided by 2 and the remainder is 3 when n is divided by 4, which of the following must be true? f the remainder is 1 when m is divided by 2 -m=2x+1 (odd ) remainder is 3 when n is divided by 4 -n=4y+3 -n=4Y+2+1 n=2(2y+1)+1 odd m is an odd no , n is an odd no

Re: If the remainder is 1 when m is divided by 2 and the remainder is 3 [#permalink]

Show Tags

03 Jun 2017, 11:38

m is odd as it not divisible by n is odd as it is not divisible by 4. If n is even it would have given remainder of 2 , For example 10/4 remainder is 2 when it is odd 7/4 remainder is 3. m+n is even
_________________

We are more often frightened than hurt; and we suffer more from imagination than from reality

Re: If the remainder is 1 when m is divided by 2 and the remainder is 3 [#permalink]

Show Tags

14 Aug 2017, 22:25

My approach was similar to what other clubbers has done above.

"If the remainder is 1 when m is divided by 2" - Clearly m is odd - 1, 3,5,7 etc...

"the remainder is 3 when n is divided by 4" - n 3, 7, 11 etc...

We have M and N both Odd.

A. Not possible. Already saw m is odd B. Not Possible. Already saw n is odd C. Possible. Sum of ANY two odd numbers is Even (eg. 1+1 = 2) D. Not possible. Product of two odd can never be Even. It can only be odd. E. Not Possible. Since Both M and N are odd there are no factors of 2 in both the numbers. Hence their quotient can never be an Even number

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...