Find all School-related info fast with the new School-Specific MBA Forum

It is currently 29 Jun 2016, 13:10
GMAT Club Tests

Close

GMAT Club Daily Prep

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If x, y, and z are negative integers and 3x - 3y = -3z, then

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

6 KUDOS received
Manager
Manager
User avatar
Joined: 20 Nov 2009
Posts: 167
Followers: 8

Kudos [?]: 152 [6] , given: 64

If x, y, and z are negative integers and 3x - 3y = -3z, then [#permalink]

Show Tags

New post 19 Aug 2010, 23:50
6
This post received
KUDOS
5
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

50% (02:17) correct 50% (01:57) wrong based on 324 sessions

HideShow timer Statistics

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
[Reveal] Spoiler: OA

_________________

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, 04:56, edited 1 time in total.
Renamed the topic and edited the question.
2 KUDOS received
Manager
Manager
avatar
Joined: 20 Feb 2009
Posts: 76
Location: chennai
Followers: 3

Kudos [?]: 27 [2] , given: 0

Re: PS question [#permalink]

Show Tags

New post 20 Aug 2010, 01:51
2
This post received
KUDOS
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)

So (I) will be answer , SO option B)
Expert Post
3 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 33562
Followers: 5948

Kudos [?]: 73833 [3] , given: 9903

Re: PS question [#permalink]

Show Tags

New post 20 Aug 2010, 07:03
3
This post received
KUDOS
Expert's post
aiming4mba wrote:
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.

Answer: B.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Senior Manager
Senior Manager
avatar
Joined: 20 Apr 2010
Posts: 250
Location: Hyderabad
WE 1: 4.6 years Exp IT prof
Followers: 8

Kudos [?]: 41 [0], given: 49

Re: PS question [#permalink]

Show Tags

New post 21 Aug 2010, 15:55
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

Don't Forget to give the KUDOS

1 KUDOS received
Manager
Manager
avatar
Joined: 02 Jul 2009
Posts: 72
Followers: 0

Kudos [?]: 18 [1] , given: 7

Re: problem solving [#permalink]

Show Tags

New post 15 Nov 2010, 17:34
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.

Expert Post
1 KUDOS received
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 6681
Location: Pune, India
Followers: 1833

Kudos [?]: 11156 [1] , given: 219

Re: problem solving [#permalink]

Show Tags

New post 15 Nov 2010, 20:53
1
This post received
KUDOS
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.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

Manager
Manager
avatar
Joined: 02 Jul 2009
Posts: 72
Followers: 0

Kudos [?]: 18 [0], given: 7

Re: PS question [#permalink]

Show Tags

New post 16 Nov 2010, 14:02
Thanks Karishma. I agree with you, I did use the numbers to confirm the solution.
_________________

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

Intern
Intern
avatar
Joined: 06 Nov 2010
Posts: 4
Followers: 0

Kudos [?]: 0 [0], given: 0

Re: PS question [#permalink]

Show Tags

New post 16 Nov 2010, 17:10
3x-3y=-3z

Dividing by -3 gives:

y-x=z

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:

+-----Y---------X-------0-----------+
--------<--Z--->

or:

+-----X---------Y-------0-----------+
--------<--Z--->

Is y greater than x or vice versa? Pick numbers to see. Start with what if y is less than x, e.g. y=-2 and x=-1.

y-x=(-2)-(-1) =-1.

We know z is negative, so this must be true. Thus, y is less than (to the left of) x.

Looking at the number line, can we learn anything else about z? Not really, since z could be anything, i.e. the numberline could look like this:

+-----Y---------X-------0-----------+
--------<--Z--->

or like this:

+-----Y-------------------------X-0-----------+
--------<----------Z----------->

Thus, we don't know anything at all about z.

Answer B is the only possible choice.
1 KUDOS received
Senior Manager
Senior Manager
User avatar
Joined: 13 Aug 2012
Posts: 464
Concentration: Marketing, Finance
GMAT 1: Q V0
GPA: 3.23
Followers: 22

Kudos [?]: 360 [1] , given: 11

GMAT ToolKit User
If x, y, and z are negative integers and 3x - 3y = -3z, then whi [#permalink]

Show Tags

New post 13 Dec 2012, 00:56
1
This post received
KUDOS
3x - 3y = -3z
x - y = -z
z = y - x where z < 0 thus, y-x<0 ==> y<x

I. x > y ALWAYS TRUE!

Let y=-3 and x=-2 then z=-1

II. -2 > -3 > -1 FALSE!
III. -2 = -1 FALSE!

Answer: I only
_________________

Impossible is nothing to God.

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 10236
Followers: 482

Kudos [?]: 124 [0], given: 0

Premium Member
Re: If x, y, and z are negative integers and 3x - 3y = -3z, then [#permalink]

Show Tags

New post 28 Jul 2014, 09:48
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 10236
Followers: 482

Kudos [?]: 124 [0], given: 0

Premium Member
Re: If x, y, and z are negative integers and 3x - 3y = -3z, then [#permalink]

Show Tags

New post 15 Nov 2015, 23:36
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Re: If x, y, and z are negative integers and 3x - 3y = -3z, then   [#permalink] 15 Nov 2015, 23:36
    Similar topics Author Replies Last post
Similar
Topics:
1 Experts publish their posts in the topic (x^3 – y^3)(x^3 + y^3) = Bunuel 2 21 Mar 2016, 07:24
4 Experts publish their posts in the topic If x/y = 3/z, then 9y² = Bunuel 8 30 Dec 2014, 07:43
2 Experts publish their posts in the topic If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) = Bunuel 4 21 Feb 2014, 01:03
Experts publish their posts in the topic If x and y are integers and 3^(x-4) = 3^(y+2), what is y in jsphcal 5 06 Jun 2012, 19:16
1 If x, y, and z are negative integers and 3x - 3y = -3z, then guygmat 3 19 Jun 2011, 08:00
Display posts from previous: Sort by

If x, y, and z are negative integers and 3x - 3y = -3z, then

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.