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

It is currently 27 Jun 2016, 08:45
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

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

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

Hide Tags

Manager
Manager
avatar
Joined: 10 Feb 2011
Posts: 114
Followers: 1

Kudos [?]: 183 [0], given: 10

For positive integer x, y, and z, is y > z? [#permalink]

Show Tags

New post 17 Mar 2011, 14:42
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

76% (01:46) correct 24% (01:38) wrong based on 86 sessions

HideShow timer Statistics

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

(1) When x is divided by 4, the remainder is y.
(2) When x is divided by 6, the remainder is z.
[Reveal] Spoiler: OA
Manager
Manager
avatar
Joined: 24 Nov 2010
Posts: 209
Location: United States (CA)
Concentration: Technology, Entrepreneurship
Schools: Ross '15, Duke '15
Followers: 2

Kudos [?]: 65 [0], given: 7

GMAT ToolKit User
Re: For positive integer x, y, and z, is y > z? [#permalink]

Show Tags

New post 17 Mar 2011, 15:12
banksy wrote:
SC) For positive integer x, y, and z, is y > z?
(1) When x is divided by 4, the remainder is y.
(2) When x is divided by 6, the remainder is z.



if x = +ve, then x/4> x/6
if x= -ve, then x/6>x/4

therefore ans = e
Manager
Manager
avatar
Joined: 18 Oct 2010
Posts: 92
Followers: 2

Kudos [?]: 8 [0], given: 0

Re: For positive integer x, y, and z, is y > z? [#permalink]

Show Tags

New post 17 Mar 2011, 19:36
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
Manager
Manager
avatar
Joined: 24 Nov 2010
Posts: 209
Location: United States (CA)
Concentration: Technology, Entrepreneurship
Schools: Ross '15, Duke '15
Followers: 2

Kudos [?]: 65 [0], given: 7

GMAT ToolKit User
Re: For positive integer x, y, and z, is y > z? [#permalink]

Show Tags

New post 17 Mar 2011, 19:53
Argh.. missed the fact that the question says x,y,z are +ve.

Ans should be c
SVP
SVP
avatar
Joined: 16 Nov 2010
Posts: 1673
Location: United States (IN)
Concentration: Strategy, Technology
Followers: 34

Kudos [?]: 454 [0], given: 36

Premium Member Reviews Badge
Re: For positive integer x, y, and z, is y > z? [#permalink]

Show Tags

New post 19 Mar 2011, 01:46
Hi

I think the answer is E, because :


x = 4k + y, no information about z, so not sufficient

so y = 1,2,3 (can't be 4 as then it can divide evenly)

x = 6m + z, no information about y, so not sufficient

so z = 1,2,3,4,5 (can't be 5 as then it can divide evenly)


Even from (1) and (2) also, y > z or z > y.

So answer is E.

Opinions please ?
_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

GMAT Club Premium Membership - big benefits and savings

SVP
SVP
avatar
Joined: 16 Nov 2010
Posts: 1673
Location: United States (IN)
Concentration: Strategy, Technology
Followers: 34

Kudos [?]: 454 [0], given: 36

Premium Member Reviews Badge
Re: For positive integer x, y, and z, is y > z? [#permalink]

Show Tags

New post 19 Mar 2011, 01:48
Btw, this is a DS question, not sure why it's in PS section.
_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

GMAT Club Premium Membership - big benefits and savings

Director
Director
User avatar
Status: No dream is too large, no dreamer is too small
Joined: 14 Jul 2010
Posts: 650
Followers: 37

Kudos [?]: 659 [0], given: 39

Re: For positive integer x, y, and z, is y > z? [#permalink]

Show Tags

New post 19 Mar 2011, 03:46
Post in right forum.

statement 1: x=4+y, no information about Z, insufficient
statement 2: x=6+z, No information about y , insufficient

Considering C
4+y=6+z so y=z+2
so y>z
ans C
_________________

Collections:-
PSof OG solved by GC members: http://gmatclub.com/forum/collection-ps-with-solution-from-gmatclub-110005.html
DS of OG solved by GC members: http://gmatclub.com/forum/collection-ds-with-solution-from-gmatclub-110004.html
100 GMAT PREP Quantitative collection http://gmatclub.com/forum/gmat-prep-problem-collections-114358.html
Collections of work/rate problems with solutions http://gmatclub.com/forum/collections-of-work-rate-problem-with-solutions-118919.html
Mixture problems in a file with best solutions: http://gmatclub.com/forum/mixture-problems-with-best-and-easy-solutions-all-together-124644.html

CEO
CEO
User avatar
Status: Nothing comes easy: neither do I want.
Joined: 12 Oct 2009
Posts: 2797
Location: Malaysia
Concentration: Technology, Entrepreneurship
Schools: ISB '15 (M)
GMAT 1: 670 Q49 V31
GMAT 2: 710 Q50 V35
Followers: 218

Kudos [?]: 1448 [0], given: 235

Reviews Badge
Re: For positive integer x, y, and z, is y > z? [#permalink]

Show Tags

New post 19 Mar 2011, 11:30
Since the individual statements only tell about the X,Y and X,Z resp.....both the not sufficient individually.

So the answer is either C or E.

Now take both the conditions:

=> X = 4a + Y and X = 6b + Z

=> 4a+y = 6b+ z

case 1: a=6 and b = 4..=> y=z...the answer is NO

case 2: a=5 and b = 5 => y>z..the answer is Yes.

so E.
_________________

Fight for your dreams :For all those who fear from Verbal- lets give it a fight

Money Saved is the Money Earned :)

Jo Bole So Nihaal , Sat Shri Akaal

:thanks Support GMAT Club by putting a GMAT Club badge on your blog/Facebook :thanks

GMAT Club Premium Membership - big benefits and savings

Gmat test review :
670-to-710-a-long-journey-without-destination-still-happy-141642.html

1 KUDOS received
Manager
Manager
User avatar
Joined: 16 Jan 2011
Posts: 103
Followers: 11

Kudos [?]: 124 [1] , given: 13

Re: For positive integer x, y, and z, is y > z? [#permalink]

Show Tags

New post 21 Jun 2012, 12:11
1
This post received
KUDOS
(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?
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 33525
Followers: 5937

Kudos [?]: 73612 [0], given: 9903

Re: For positive integer x, y, and z, is y > z? [#permalink]

Show Tags

New post 21 Jun 2012, 12:25
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.

Answer: E.
_________________

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

Current Student
avatar
Joined: 03 Aug 2012
Posts: 915
Concentration: General Management, General Management
GMAT 1: 630 Q47 V29
GMAT 2: 680 Q50 V32
GPA: 3.7
WE: Information Technology (Investment Banking)
Followers: 20

Kudos [?]: 547 [0], given: 322

Premium Member
Re: For positive integer x, y, and z, is y > z? [#permalink]

Show Tags

New post 11 Aug 2013, 05:44
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
_____________________________________________________________________________

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 10203
Followers: 481

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

Premium Member
Re: For positive integer x, y, and z, is y > z? [#permalink]

Show Tags

New post 25 Feb 2016, 07:29
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

1 KUDOS received
Director
Director
User avatar
Status: Tutor - BrushMyQuant
Joined: 05 Apr 2011
Posts: 559
Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 570 Q49 V19
GMAT 2: 700 Q51 V31
GPA: 3
WE: Information Technology (Computer Software)
Followers: 89

Kudos [?]: 469 [1] , given: 53

Re: For positive integer x, y, and z, is y > z? [#permalink]

Show Tags

New post 28 May 2016, 22:29
1
This post received
KUDOS
Baten80 wrote:
Post in right forum.

statement 1: x=4K+y, no information about Z, insufficient
statement 2: x=6T+z, No information about y , insufficient

Considering C
4K+y=6T+z so y=z+6T-4K
so y>z
Since we dont know anything about integers K and T so together also it is insufficent
ans E

Correction in your solution in Red

Bunuel: Please update OA to E
Thank you
_________________

Ankit

Check my Tutoring Site -> Brush My Quant

GMAT Quant Tutor
How to start GMAT preparations?
How to Improve Quant Score?
Gmatclub Topic Tags
Check out my GMAT debrief

How to Solve :
Statistics || Reflection of a line || Remainder Problems || Inequalities

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 33525
Followers: 5937

Kudos [?]: 73612 [0], given: 9903

Re: For positive integer x, y, and z, is y > z? [#permalink]

Show Tags

New post 29 May 2016, 02:30
Expert's post
BrushMyQuant wrote:
Baten80 wrote:
Post in right forum.

statement 1: x=4K+y, no information about Z, insufficient
statement 2: x=6T+z, No information about y , insufficient

Considering C
4K+y=6T+z so y=z+6T-4K
so y>z
Since we dont know anything about integers K and T so together also it is insufficent
ans E

Correction in your solution in Red

Bunuel: Please update OA to E
Thank you


______________
Done. Thank you.
_________________

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

Re: For positive integer x, y, and z, is y > z?   [#permalink] 29 May 2016, 02:30
    Similar topics Author Replies Last post
Similar
Topics:
Experts publish their posts in the topic If x, y, and z are positive integers, is (x!)(y!) > z! ? Bunuel 2 05 Apr 2016, 08:31
5 Experts publish their posts in the topic If x, y, and z are positive integers, is y > x? Bunuel 8 28 Jul 2015, 00:50
3 Experts publish their posts in the topic If x, y, and z are positive numbers, is x > y > z? zazoz 5 10 Sep 2013, 03:46
If x, y, and z are positive numbers, is x>y>z? sb1 3 01 Oct 2012, 12:00
20 Experts publish their posts in the topic If x, y, and z are positive integers, where x > y and ctrlaltdel 9 15 Nov 2009, 22:47
Display posts from previous: Sort by

For positive integer x, y, and z, is y > 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®.