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

It is currently 01 Sep 2014, 05:45

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 < z and y-x > 5, where x is an even integer and y

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 31 Oct 2011
Posts: 331
Followers: 1

Kudos [?]: 123 [1] , given: 18

GMAT Tests User
If x < y < z and y-x > 5, where x is an even integer and y [#permalink] New post 28 Mar 2012, 01:00
1
This post received
KUDOS
3
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

61% (02:06) correct 39% (01:06) wrong based on 134 sessions
If x < y < z and y-x > 5, where x is an even integer and y and z are odd integers, what is the least possible value of z - x?

A. 6
B. 7
C. 8
D. 9
E. 10
[Reveal] Spoiler: OA
1 KUDOS received
Manager
Manager
avatar
Joined: 12 Mar 2012
Posts: 95
Location: India
Concentration: Technology, Strategy
GMAT 1: 710 Q49 V36
GPA: 3.2
WE: Information Technology (Computer Software)
Followers: 9

Kudos [?]: 264 [1] , given: 22

Re: If x < y < z and y-x > 5, where x is an even integer and y [#permalink] New post 28 Mar 2012, 01:24
1
This post received
KUDOS
y-x is >5. y is odd and x is even then y-x will be odd. Lowest possible value of y-x is 7.
For lowest possible value of z-x, y and z should be close, it means y and z are consecutive odd integers or z = y + 2.
Hence z-x = y + 2 - x = 7 + 2 = 9.
Expert Post
2 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 25227
Followers: 3428

Kudos [?]: 25197 [2] , given: 2702

Re: If x < y < z and y-x > 5, where x is an even integer and y [#permalink] New post 28 Mar 2012, 01:26
2
This post received
KUDOS
Expert's post
eybrj2 wrote:
If x < y < z and y-x > 5, where x is an even integer and y and z are odd integers, what is the least possible value of z - x?

A. 6
B. 7
C. 8
D. 9
E. 10


We want to minimize z-x, so we need to maximize x.

Say z=11=odd, then max value of y will be 9 (as y is also odd). Now, since y-5>x --> 9-5>x --> 4>x, then max value of x is 2 (as x is even).

Hence, the least possible value of z-x is 11-2=9.

Answer: D.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Intern
Intern
avatar
Joined: 24 Feb 2010
Posts: 11
Followers: 0

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

Re: If x < y < z and y-x > 5, where x is an even integer and y [#permalink] New post 02 Aug 2012, 03:48
If x < y < z and y-x > 5, where x is an even integer and y and z are odd integers, what is the least possible value of z - x?

A. 6
B. 7
C. 8
D. 9
E. 10


Y is odd and X is even, so (y - x) has to be odd. ( Y - X ) > 5 means ( Y - X ) can have a value of 7.

Y - X = 7; Y = X + 7

Main equation will become,
X < X + 7 < Z

Subtract X from all,

0 < 7 < Z - X

Since Z is odd and X is even, (Z - X) has to be odd.

As (Z - X) > 7, the least possible value of Z-X will be 9. ANSWER.


- Ravender Singh
Senior Manager
Senior Manager
avatar
Joined: 22 Nov 2010
Posts: 293
Location: India
GMAT 1: 670 Q49 V33
WE: Consulting (Telecommunications)
Followers: 5

Kudos [?]: 26 [0], given: 75

Re: If x < y < z and y-x > 5, where x is an even integer and y [#permalink] New post 04 Aug 2012, 20:52
eybrj2 wrote:
If x < y < z and y-x > 5, where x is an even integer and y and z are odd integers, what is the least possible value of z - x?

A. 6
B. 7
C. 8
D. 9
E. 10


Z-x will be odd. therefore, option A, C, E is eliminated.

y-x> 5, if x= 2 then Y> 7 (8, 9 etc). so minimum value from z-x is 9
_________________

YOU CAN, IF YOU THINK YOU CAN

Intern
Intern
avatar
Joined: 31 Oct 2012
Posts: 24
Followers: 0

Kudos [?]: 1 [0], given: 4

Re: If x < y < z and y-x > 5, where x is an even integer and y [#permalink] New post 19 Dec 2012, 00:27
I did it like this and i am getting 7 as the answer. Kindly tell me where i went wrong.

Given
x<y<z
y-x>5

From the first equation i subtracted x so 0<y-x<z-x
From the second equation multiply by (-1) so -y+x<-5
adding the above 2 i got 0<z-x-5 ie z-x>5
We now that z-x is odd so the next odd number is 7.
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 25227
Followers: 3428

Kudos [?]: 25197 [0], given: 2702

Re: If x < y < z and y-x > 5, where x is an even integer and y [#permalink] New post 19 Dec 2012, 02:54
Expert's post
maddyboiler wrote:
I did it like this and i am getting 7 as the answer. Kindly tell me where i went wrong.

Given
x<y<z
y-x>5

From the first equation i subtracted x so 0<y-x<z-x
From the second equation multiply by (-1) so -y+x<-5
adding the above 2 i got 0<z-x-5 ie z-x>5
We now that z-x is odd so the next odd number is 7.


You got z-x>5 but we also have y-x>5, so the least value of y-x is 7 and since z>y then the least value of z-x is 9.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Intern
Intern
avatar
Joined: 08 Nov 2012
Posts: 3
Followers: 0

Kudos [?]: 1 [0], given: 0

Re: If x < y < z and y-x > 5, where x is an even integer and y [#permalink] New post 20 Dec 2012, 11:30
We have:
1) x<y<z
2) y-x>5
3) x=2k (x is an even number)
4) y=2n+1 (y is an odd number)
5) z=2p+1 (z is an odd number)
6) z-x=? least value

z-x=2p+1-2k=2p-2k+1=2(p-k)+1 - that means that z-x must be an ODD number. We can eliminate answer choices A, C and E
we are asked to find the least value, so we have to pick the least numbers
since y is odd and x is even, y-x must be odd. since y-x>5, the least value for y-x must be 7, the least value for x must be 2, and, thus, the least possible value for y must be 9 (y-2=7, y=9)
2<9<z, since z is odd, the least possible value for z is 11
z-x=11-2=9

Answer D
Senior Manager
Senior Manager
User avatar
Joined: 23 Mar 2011
Posts: 474
Location: India
GPA: 2.5
WE: Operations (Hospitality and Tourism)
Followers: 11

Kudos [?]: 105 [0], given: 59

GMAT Tests User
If x < y < z and y - x > 5, where x is an even integer and y and [#permalink] New post 23 Apr 2013, 06:33
Acer86 wrote:
If x < y < z and y - x > 5, where x is an even integer and y and z are odd integers, what is the least possible value of z – x ?
(A) 6
(B) 7
(C) 8
(D) 9
(E) 10


The answer i am getting is 7..thought original answer is something else...can someone help me out :(


Question asks least possible value, thus we can substitute by least possible numbers to get to answer

A, C and E are out since they are even

Left with B and E

y-x>5 which means least value of y-x=7 (since y is odd and x is even, result will be odd)
Work back: y= 5 (least value) x= -2 (least value). thus y-x = 5 - (-2) = 7 (least possible odd integer greater than 5)

Since z> y, thus least possible value of z = 7
Therefore, z-x = 7 - (-2) = 9

Correct choice D
_________________

"When the going gets tough, the tough gets going!"

Bring ON SOME KUDOS MATES+++



-----------------------------
Quant Notes consolidated: consolodited-quant-guides-of-forum-most-helpful-in-preps-151067.html#p1217652

My GMAT journey begins: my-gmat-journey-begins-122251.html

All about Richard Ivey: all-about-richard-ivey-148594.html#p1190518

Manager
Manager
avatar
Joined: 28 Jul 2013
Posts: 59
Location: India
Concentration: Marketing, Strategy
GPA: 3.62
WE: Engineering (Manufacturing)
Followers: 0

Kudos [?]: 8 [0], given: 20

Re: If x < y < z and y-x > 5, where x is an even integer and y [#permalink] New post 28 Mar 2014, 00:46
ACE are out as they are even. z = odd and x is even therefore Z-X is odd. out of B or D we need to see that we have to get the minimum value of z-x so we have to minimize z and maximize x. Hence z-x is 9
Re: If x < y < z and y-x > 5, where x is an even integer and y   [#permalink] 28 Mar 2014, 00:46
    Similar topics Author Replies Last post
Similar
Topics:
1 Experts publish their posts in the topic x, y are non zero integers: Is x^y < y^x prep 3 02 Nov 2012, 12:50
1 Experts publish their posts in the topic If x < y < z and y-x > 5, where x is an even integer and y a Acer86 6 07 Apr 2011, 05:26
2 Is y < (x+z)/2? (1) y-x < z-y (2) z-y > (z-x)/2 The mich120 3 20 Mar 2008, 15:22
If x < y <z> 5, where x is an even integer and y yogachgolf 2 30 Dec 2007, 11:48
Is y < (x+z)/2? 1) y-x <z> (z-x)/2 lanter1 3 29 Jul 2007, 12:06
Display posts from previous: Sort by

If x < y < z and y-x > 5, where x is an even integer and y

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

GMAT Club MBA Forum Home| About| Privacy Policy| 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®.