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

It is currently 26 Aug 2016, 23:30
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 2xy + z = 9, what is the value of the positive integer z?

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

Hide Tags

1 KUDOS received
Manager
Manager
avatar
Joined: 16 Feb 2012
Posts: 237
Concentration: Finance, Economics
Followers: 7

Kudos [?]: 232 [1] , given: 121

GMAT ToolKit User
If 2xy + z = 9, what is the value of the positive integer z? [#permalink]

Show Tags

New post 19 Aug 2013, 09:36
1
This post received
KUDOS
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

67% (02:13) correct 33% (01:53) wrong based on 132 sessions

HideShow timer Statistics

If 2xy + z = 9, what is the value of the positive integer z?

(1) xyz - z^2 = 0

(2) x + y - 3z = -5
[Reveal] Spoiler: OA

_________________

Kudos if you like the post!

Failing to plan is planning to fail.

Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 34449
Followers: 6273

Kudos [?]: 79594 [1] , given: 10022

Re: If 2xy + z = 9, what is the value of the positive integer z? [#permalink]

Show Tags

New post 19 Aug 2013, 09:43
1
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
If 2xy + z = 9, what is the value of the positive integer z?

(1) xyz - z^2 = 0 --> \(z(xy-z)=0\) --> \(z=0\) or \(z=xy\). Since given that z is a positive integer, then discard \(z=0\) and we are left with \(z=xy\). From \(2xy + z = 9\) we get that \(2z + z = 9\) --> \(z=3\). Sufficient.

(2) x + y - 3z = -5. We cannot solve for z. Not sufficient.

Answer: A.
_________________

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

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 11088
Followers: 511

Kudos [?]: 134 [0], given: 0

Premium Member
Re: If 2xy + z = 9, what is the value of the positive integer z? [#permalink]

Show Tags

New post 05 Mar 2015, 17:18
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

Manager
Manager
avatar
Joined: 20 Sep 2008
Posts: 85
Followers: 2

Kudos [?]: 69 [0], given: 165

Reviews Badge
If 2xy + z = 9, what is the value of the positive integer z? [#permalink]

Show Tags

New post 14 Nov 2015, 16:58
If 2xy + z = 9, what is the value of the positive integer z?

(1) xyz – z^2 = 0

(2) x + y – 3z = -5
Expert Post
Verbal Forum Moderator
Verbal Forum Moderator
User avatar
Joined: 02 Aug 2009
Posts: 3967
Followers: 247

Kudos [?]: 2636 [0], given: 97

Re: If 2xy + z = 9, what is the value of the positive integer z? [#permalink]

Show Tags

New post 14 Nov 2015, 23:20
stoy4o wrote:
If 2xy + z = 9, what is the value of the positive integer z?

(1) xyz – z^2 = 0

(2) x + y – 3z = -5


Hi,

1) statement one gives us xyz – z^2 = 0
or z(xy-z)=0..
so either z=0 or xy=z or xy=z=0..
here it is given that z is a positive integer, so z cannot be 0..
xy =z

substitute in main Q, we get value of z as 3.. suff

2) x + y – 3z = -5..
three variables and two equations... in suff

ans A
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Intern
Intern
User avatar
Status: My heart can feel, my brain can grasp, I'm indomitable.
Affiliations: Educator
Joined: 16 Oct 2012
Posts: 39
Location: Bangladesh
WE: Social Work (Education)
Followers: 4

Kudos [?]: 15 [0], given: 51

Re: If 2xy + z = 9, what is the value of the positive integer z? [#permalink]

Show Tags

New post 15 Nov 2015, 03:40
1) z(xy-z)=0
z≠0 as z is +ve, xy=z
2xy+z=9
Or 3z=9
Or z= 3….sufficient.

2)….not sufficient

ANS: A
_________________

please press "+1 Kudos" if useful

Re: If 2xy + z = 9, what is the value of the positive integer z?   [#permalink] 15 Nov 2015, 03:40
    Similar topics Author Replies Last post
Similar
Topics:
5 Experts publish their posts in the topic What is the value of integer z? Bunuel 5 07 Jul 2015, 01:53
10 Experts publish their posts in the topic What is the value of integer z? Bunuel 10 08 Apr 2015, 04:52
17 Experts publish their posts in the topic What is the value of integer z? Bunuel 15 09 Feb 2015, 06:30
6 Experts publish their posts in the topic If 2xy + z = 9, what is the value of the positive integer z? hogann 9 13 Oct 2009, 06:38
24 Experts publish their posts in the topic If z is a three-digit positive integer, what is the value of arjtryarjtry 6 08 Sep 2008, 23:58
Display posts from previous: Sort by

If 2xy + z = 9, what is the value of the positive integer z?

  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®.