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: SC) For positive integer x, y, and z, is y > z? (1) When x [#permalink]
17 Mar 2011, 18:36

statement 1: x=4+y, z is unknown, insufficient statement 2: x=6+z, y is unknown, insufficient both statement 1+2: 4+y=6+z so y=2+z because all x, y, z are positive integer so y is always 2 bigger than z C

Re: For positive integer x, y, and z, is y > z? [#permalink]
21 Jun 2012, 11:25

Expert's post

Galiya wrote:

(1)+(2)

x=4k+y x=6m+z 4k+y=6m+z, hence E the answer i wonder why some of you skipped the quotients in front of 4 and 6.Is it possible to solve so?

You are right the answer is E, and yes you should put a quotient in front of divisor.

For positive integer x, y, and z, is y > z?

(1) When x is divided by 4, the remainder is y --> \(x=4q+y\) and \(0<y<4\). Not sufficient. (2) When x is divided by 6, the remainder is z --> \(x=6p+z\) and \(0<z<6\). Not sufficient.

(1)+(2) Still insufficient. Consider: \(x=13\), \(y=1\) and \(z=1\) for a NO answer; \(x=7\), \(y=3\) and \(z=1\) for an YES answer.

Re: For positive integer x, y, and z, is y > z? [#permalink]
11 Aug 2013, 04:44

Clearly (E) it is

Explanation:

Is y>z

(1).

x=4A + y No info about z hence Insufficient

(2).

x=6B + z No info about y hence Insufficient

Combining we get:

4A + y = 6B + z

=> (y-z) = 6B - 4A ( now from here y can be less than z or more than z) _________________

Rgds, TGC! _____________________________________________________________________ I Assisted You => KUDOS Please _____________________________________________________________________________

gmatclubot

Re: For positive integer x, y, and z, is y > z?
[#permalink]
11 Aug 2013, 04:44

: Social ventures, both non-profits and for-profits, seek to better the world in such industries as education, microfinance, workforce development, public health and community development, among others. Organizations that...

Essay B for Stanford GSB will essentially ask you to explain why you’re doing what you’re doing. Namely, the essay wants to know, A) why you’re seeking...

Over the last week my Facebook wall has been flooded with most positive, almost euphoric emotions: “End of a fantastic school year”, “What a life-changing year it’s been”, “My...