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:

Hey guys, I am confused at this DS question...hope u can help clarify it for me.

#28 pg. 280 Is x an integer? (1) x/2 is an integer (2) 2x is an integer

The answer is A.

So you can plug in 6 for x, and that will satisfy statement 1. But can't you also plug in 3/2 for x? The answer will be 3, which will still satisfy statement 1. So if x can both be an integer and non-integer, A can't be the answer right?

I don't know...it's past midnight here. Maybe I'm just getting delirious...??

plugging 3/2 in a will give 3/4 (since its x/2), which is not an integer. The answer should be (A)
_________________

Hey guys, I am confused at this DS question...hope u can help clarify it for me.

#28 pg. 280 Is x an integer? (1) x/2 is an integer (2) 2x is an integer

The answer is A.

So you can plug in 6 for x, and that will satisfy statement 1. But can't you also plug in 3/2 for x? The answer will be 3, which will still satisfy statement 1. So if x can both be an integer and non-integer, A can't be the answer right?

I don't know...it's past midnight here. Maybe I'm just getting delirious...??

we always want the minimum values for the numerator in divisibility questions. the min of x/2 is 2. all numerators will be multiples of 2 so x is an integer.
_________________

You tried your best and you failed miserably. The lesson is 'never try'. -Homer Simpson

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.
_________________

(1) \(\frac{x}{2}\) is an integer (2) 2x is an integer

Is x an integer?

(1) x/2 is an integer. For x/2 to be an integer x must be an integer --> \(\frac{x}{2}=integer\) --> \(x=2*integer=integer\), as you can see \(x\) is not only an integer but an even integer. Sufficient.

(2) 2x is an integer --> x may or may not be an integer, for instance \(x=0.5\) or \(x=1\). Basically \(x\) is of a type \(\frac{integer}{2}\), hence \(x\) may be an integer itself or half of an integer 0.5, 1.5, ... Not sufficient.