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:

But there’s something in me that just keeps going on. I think it has something to do with tomorrow, that there is always one, and that everything can change when it comes. http://aimingformba.blogspot.com

Last edited by Bunuel on 20 Oct 2012, 03:56, edited 1 time in total.

If x, y, and z are negative integers and 3x - 3y = -3z, then which of the following statements must be true? I. x > y II. x > y > z III. x = z

a. I and II b. I only c. II only d. III only e. None

From the question: we infer that x-y = -z x,y&z are negative integers . ex: x= -4 y= -6 -4 - (-6) = -(-2). this implies x>y here x is not equql to z (III) z>y (II)

If x, y, and z are negative integers and 3x - 3y = -3z, then which of the following statements must be true?

I. x > y

II. x > y > z

III. x = z

a. I and II b. I only c. II only d. III only e. None

\(3x-3y=-3z\) --> \(x-y=-z\) --> \(x+z=y\). As x, y, and z are negative integers then y is "most" negative, the least of 3 integers.

So: I. x > y --> is always true; II. x > y > z --> is never true, as y is less than z too; III. x = z --> may or may not be true, we don't know how x and z are related to each other.

Simple Question got it wrong because i thought of magnitude and forgot about the signs....!!!! Sill Mistakes when will I Improve.... _________________

I will give a Fight till the End

"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed." - Bernard Edmonds

A person who is afraid of Failure can never succeed -- Amneet Padda

Re: problem solving [#permalink]
15 Nov 2010, 16:34

1

This post received KUDOS

3x - 3y = -3z

x-y=-z =>y=x+z

Since y=x+z, and x, y, and z are –ve integers, x and z should be greater than y. Also, it’s not mandatory that x=z So, the answer is a) Only I _________________

Please provide kudos if you like my post. Thank you.

Re: problem solving [#permalink]
15 Nov 2010, 19:53

Expert's post

lotus wrote:

3x - 3y = -3z

x-y=-z =>y=x+z

Since y=x+z, and x, y, and z are –ve integers, x and z should be greater than y. Also, it’s not mandatory that x=z So, the answer is a) Only I

Your solution is great lotus. I just want to add here that when you arrive at y=x+z, and you want to find out what this relation means considering that all x, y and z are negative, take some numbers: x = -3, z = -4, then y = -7. So this means that y is going to be smaller than both x and z. Also, x and z may or may not be the same number. Taking numbers at this stage will help you to clearly see the solution. Remember, you are not arriving at the answer using numbers (which can be useful sometimes but should be generally avoided). You are just making a clear picture in your mind. _________________

Having this in hand, I created a number line to visually identify the characteristics of each number when you subract one from the other to get a third:

Re: If x, y, and z are negative integers and 3x - 3y = -3z, then [#permalink]
28 Jul 2014, 08:48

Hello from the GMAT Club BumpBot!

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. _________________

Interested in applying for an MBA? In the fourth and final part of our live QA series with guest expert Chioma Isiadinso, co-founder of consultancy Expartus and former admissions...