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.

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: Odd / Even question [#permalink]
06 Jul 2008, 00:07

1

This post received KUDOS

nirimblf wrote:

DavidArchuleta wrote:

m/n is even so m must be even m+n is even so n is even too m/n is even while n is even so m is divisible by 4 so m/2 is always even

I. m/2+n/2 (nothing about n) II. m/2 + 1 (always odd) III. n/2+1 (nothing can be determined about n)

My choice is B.

I don't understand. If n is even why nothing can be determined about n?

I'm sorry, nothing can be determined about n/2. I'm careless as usual. Sorry again. m/2 is always even 'coz m is divisible by 4 but n is just even, it can be divisible by 4 or not so n/2 is either even or odd.

Re: Odd / Even question [#permalink]
06 Jul 2008, 04:31

I don't understand why option B should be our answer. If M is even, then it doesn't necessarily mean that m/2 will be even. For example, 10/2 is 5, which is odd. so an even number divided by 2 could yield either even or odd. please explain guys! thanks

Re: Odd / Even question [#permalink]
06 Jul 2008, 05:01

tarek99 wrote:

I don't understand why option B should be our answer. If M is even, then it doesn't necessarily mean that m/2 will be even. For example, 10/2 is 5, which is odd. so an even number divided by 2 could yield either even or odd. please explain guys! thanks

As it was said above, m is not only even, it is also divisible by 4.

Re: Odd / Even question [#permalink]
06 Jul 2008, 15:46

Oski wrote:

tarek99 wrote:

I don't understand why option B should be our answer. If M is even, then it doesn't necessarily mean that m/2 will be even. For example, 10/2 is 5, which is odd. so an even number divided by 2 could yield either even or odd. please explain guys! thanks

As it was said above, m is not only even, it is also divisible by 4.

i'm sorry if i might be asking a stupid question, but how do you know that m is divisible specifically by 4?? all we know is that m is even. So in statement II:

(m+2)/2 = (m/2) + (2/2) = (m/2) + 1

If m/2 is even, then + 1 will be odd

if m/2 is odd, then + 1 will be even. so where from the divisibility by 4??

Re: Odd / Even question [#permalink]
06 Jul 2008, 23:52

tarek99 wrote:

i'm sorry if i might be asking a stupid question, but how do you know that m is divisible specifically by 4?? all we know is that m is even. So in statement II:

(m+2)/2 = (m/2) + (2/2) = (m/2) + 1

If m/2 is even, then + 1 will be odd

if m/2 is odd, then + 1 will be even. so where from the divisibility by 4??

It was said above:

m/n is even => m can be written as m = 2 * K * n, with K an integer i.e. m is even

Then m+n is even: since m is even then it tells us that n is even i.e. n can be written as n = 2 * L, with L an integer

Back to m, we can then write m = 2 * K * (2 * L) i.e. m = 4 * K * L => m is divisible by 4

Re: Odd / Even question [#permalink]
07 Jul 2008, 05:16

tarek99 wrote:

Oski wrote:

tarek99 wrote:

I don't understand why option B should be our answer. If M is even, then it doesn't necessarily mean that m/2 will be even. For example, 10/2 is 5, which is odd. so an even number divided by 2 could yield either even or odd. please explain guys! thanks

As it was said above, m is not only even, it is also divisible by 4.

i'm sorry if i might be asking a stupid question, but how do you know that m is divisible specifically by 4?? all we know is that m is even. So in statement II:

(m+2)/2 = (m/2) + (2/2) = (m/2) + 1

If m/2 is even, then + 1 will be odd

if m/2 is odd, then + 1 will be even. so where from the divisibility by 4??

m /n = even we know n is even m = even * even lest even number we know is 2 m = 2*2 we know m is atleast divisible by 4 Hope thi s helps