GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 22 Oct 2018, 00:48

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.

Close

Request Expert Reply

Confirm Cancel

Is x < y?

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50036
Is x < y?  [#permalink]

Show Tags

New post 15 Jan 2014, 02:54
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

92% (00:28) correct 8% (00:39) wrong based on 527 sessions

HideShow timer Statistics

The Official Guide For GMAT® Quantitative Review, 2ND Edition

Is x < y?

(1) z < y
(2) z < x

Data Sufficiency
Question: 40
Category: Algebra Inequalities
Page: 156
Difficulty: 500


GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | 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

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50036
Re: Is x < y?  [#permalink]

Show Tags

New post 15 Jan 2014, 02:54
Intern
Intern
avatar
Joined: 13 Feb 2013
Posts: 19
Location: United States
Concentration: Finance, General Management
Schools: HBS '16
GMAT Date: 07-28-2014
GPA: 3.75
WE: Consulting (Computer Software)
GMAT ToolKit User
Re: Is x < y?  [#permalink]

Show Tags

New post 15 Jan 2014, 09:46
1
As per my understanding best way will be to eliminate choices.
Since both (1) and (2) does not talk about the relation between x and y so we can eliminate option a,b,d.
We are left with option c and option e .

Now we take following two cases satisfying both given condition z<x and z<y -
x=2, y=3, z=1 -> x<y

x= 10, y=5, z =1 -> x>y

we can see that we can not guarantee the statement x>y by using both condition so answer is (E)-Statements (1) and (2) TOGETHER are NOT sufficient to answer the question
Intern
Intern
avatar
Status: FTW
Joined: 01 Apr 2012
Posts: 11
Location: India
Concentration: International Business, Leadership
GMAT Date: 09-27-2014
GPA: 3.5
WE: Consulting (Venture Capital)
GMAT ToolKit User
Re: Is x < y?  [#permalink]

Show Tags

New post 15 Jan 2014, 10:26
1
i) No information about 'x'
ii) No information about 'y'
Combining (i) and (ii), we know that z is less than, both x and why, but we do not know which one of the two (x or y) is greater than the other.
Hence (E)
Manager
Manager
avatar
Joined: 04 Oct 2013
Posts: 154
Location: India
GMAT Date: 05-23-2015
GPA: 3.45
GMAT ToolKit User Premium Member Reviews Badge
Re: Is x < y?  [#permalink]

Show Tags

New post 16 Jan 2014, 03:15
1
Is x < y?

(1) z < y
(2) z < x


Statement 1

Given that z < y, the relationship between z and x can not be determined, hence it is not possible to evaluate the inequality x < y .........Not Sufficient.

Statement 2

Given that z < x, the relationship between z and y can not be determined, hence it is not possible to evaluate the inequality x < y .........Not Sufficient.

Combining statements (1) and (2), we have z less than both y and x and this statement is not sufficient to evaluate x < y.
As an example, the sets (x=3, y=4, z=2) and (x=4, y=3, z=2) satisfy the given inequalities, whereas x and y relation is not unique.

Answer: (E)
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50036
Re: Is x < y?  [#permalink]

Show Tags

New post 18 Jan 2014, 05:14
Intern
Intern
avatar
Joined: 10 Sep 2015
Posts: 16
Re: Is x < y?  [#permalink]

Show Tags

New post 11 Sep 2015, 02:14
we do not have specific details about Z,X, Y

hence E
Manager
Manager
avatar
G
Joined: 12 Jun 2016
Posts: 217
Location: India
Concentration: Technology, Leadership
WE: Sales (Telecommunications)
GMAT ToolKit User
Re: Is x < y?  [#permalink]

Show Tags

New post 27 Aug 2017, 05:17
For this question, I found using the number line a bit easier to think through this logically

Stem: Does X lie to the left of y on the number line?

S1: Z lies to the left of Y on the number line. Dont know the position of X. Insuff

S2: Z lies to the left of X on the number line. Dont know the position of Y. insuff

S1+S2: Z lies to the left of X and Y on the number line. We still dont know relative position of X and Y. X could be to the left of Y or Vice Versa. Insuff

Final Answer: E

Number line attached, just for better understanding
Attachments

Screen Shot 2017-08-27 at 5.41.47 PM.png
Screen Shot 2017-08-27 at 5.41.47 PM.png [ 28.3 KiB | Viewed 1235 times ]


_________________

My Best is yet to come!

Study Buddy Forum Moderator
User avatar
D
Joined: 04 Sep 2016
Posts: 1210
Location: India
WE: Engineering (Other)
Premium Member CAT Tests
Is x < y?  [#permalink]

Show Tags

New post 04 Apr 2018, 21:55
Bunuel niks18 amanvermagmat

Quote:
Is x < y?

(1) z < y
(2) z < x


Combining both statements, can we subtract (2) from (1)?

0 < y-x

Adding x to both sides:
x<y.
_________________

It's the journey that brings us happiness not the destination.

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50036
Re: Is x < y?  [#permalink]

Show Tags

New post 04 Apr 2018, 21:59
adkikani wrote:
Bunuel niks18 amanvermagmat

Quote:
Is x < y?

(1) z < y
(2) z < x


Combining both statements, can we subtract (2) from (1)?

0 < y-x

Adding x to both sides:
x<y.


No.

You can only apply subtraction when their signs are in the opposite directions:

If \(a>b\) and \(c<d\) (signs in opposite direction: \(>\) and \(<\)) --> \(a-c>b-d\) (take the sign of the inequality you subtract from).
Example: \(3<4\) and \(5>1\) --> \(3-5<4-1\).

You can only add inequalities when their signs are in the same direction:

If \(a>b\) and \(c>d\) (signs in same direction: \(>\) and \(>\)) --> \(a+c>b+d\).
Example: \(3<4\) and \(2<5\) --> \(3+2<4+5\).

For more check Manipulating Inequalities.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | 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

DS Forum Moderator
avatar
P
Joined: 22 Aug 2013
Posts: 1348
Location: India
Premium Member
Re: Is x < y?  [#permalink]

Show Tags

New post 04 Apr 2018, 22:42
adkikani wrote:
Bunuel niks18 amanvermagmat

Quote:
Is x < y?

(1) z < y
(2) z < x


Combining both statements, can we subtract (2) from (1)?

0 < y-x

Adding x to both sides:
x<y.


Hello

As Bunuel has already explained, we can add here and we will get:
z+z < y+x OR 2z < y+x

If you want to subtract the inequalities then the signs should be opposite, so lets re-write the second inequality to get the two as:
z < y
x > z

NOW we can subtract second from first, and the sign will be that of the first inequality, so we will get:
z - x < y - z OR 2z < y+x
This is the same result when we added the two. So the answer would be E.
GMAT Club Bot
Re: Is x < y? &nbs [#permalink] 04 Apr 2018, 22:42
Display posts from previous: Sort by

Is x < y?

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


Copyright

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

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

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®.