It is currently 14 Dec 2017, 00:30

Decision(s) Day!:

CHAT Rooms | Ross R1 | Kellogg R1 | Darden R1 | Tepper R1


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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If x and y are numbers on the number line above, which of the followin

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

Hide Tags

Expert Post
3 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42599

Kudos [?]: 135577 [3], given: 12701

If x and y are numbers on the number line above, which of the followin [#permalink]

Show Tags

New post 27 Mar 2015, 04:40
3
This post received
KUDOS
Expert's post
13
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

60% (00:45) correct 40% (00:41) wrong based on 670 sessions

HideShow timer Statistics

Note: Figure not drawn to scale
Image
If x and y are numbers on the number line above, which of the following statements must be true?

I. |x+y| < y
II. x + y < 0
III. xy < 0

A. I only
B. III only
C. I and II
D. I and III
E. II and III

Kudos for a correct solution.

[Reveal] Spoiler:
Attachment:
599_1.png
599_1.png [ 5.32 KiB | Viewed 5436 times ]
[Reveal] Spoiler: OA

_________________

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

Kudos [?]: 135577 [3], given: 12701

1 KUDOS received
Intern
Intern
avatar
Joined: 17 Feb 2015
Posts: 28

Kudos [?]: 35 [1], given: 13

GPA: 3
Reviews Badge
Re: If x and y are numbers on the number line above, which of the followin [#permalink]

Show Tags

New post 27 Mar 2015, 05:04
1
This post received
KUDOS
I thought option D would be correct but later realised that option B is correct.

So from diagram we know that x < 0 and y > 0.

if x = -100 and y = 1, I is false
if x = -1 and y = 100, II is false
III, will always be true since neither x or y is 0.

Kudos [?]: 35 [1], given: 13

Director
Director
User avatar
Joined: 07 Aug 2011
Posts: 578

Kudos [?]: 563 [0], given: 75

Concentration: International Business, Technology
GMAT 1: 630 Q49 V27
GMAT ToolKit User
If x and y are numbers on the number line above, which of the followin [#permalink]

Show Tags

New post 27 Mar 2015, 08:40
Bunuel wrote:
Note: Figure not drawn to scale
Image
If x and y are numbers on the number line above, which of the following statements must be true?

I. |x+y| < y
II. x + y < 0
III. xy < 0

A. I only
B. III only
C. I and II
D. I and III
E. II and III

Kudos for a correct solution.

[Reveal] Spoiler:
Attachment:
599_1.png


given Y>0 and X<0 .

I |x+y| < y
at |X|=|Y| the inequality will change to is 0<Y? Answer YES
at |X|=|2Y| the inequality will change to is Y<Y? Answer NO

II X+Y<0 . If |X| > |Y| then YES . if |X| > |Y| then NO . also |X| can be equal to |Y| in which case X+Y =0 .

III XY <0 yes.

Answer
B
_________________

Thanks,
Lucky

_______________________________________________________
Kindly press the Image to appreciate my post !! :-)

Kudos [?]: 563 [0], given: 75

1 KUDOS received
Manager
Manager
avatar
B
Joined: 11 Jul 2009
Posts: 163

Kudos [?]: 60 [1], given: 81

WE: Design (Computer Software)
GMAT ToolKit User
Re: If x and y are numbers on the number line above, which of the followin [#permalink]

Show Tags

New post 27 Mar 2015, 09:13
1
This post received
KUDOS
A) |x+Y|<Y
Not Always True
If |X|>2|Y| then false
else true
B)X+Y<0
This is true only if |X|>|Y|
C)XY<0
This is always true since x<0 and Y>0

IMO B
_________________

Kaustubh

Kudos [?]: 60 [1], given: 81

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42599

Kudos [?]: 135577 [0], given: 12701

Re: If x and y are numbers on the number line above, which of the followin [#permalink]

Show Tags

New post 30 Mar 2015, 03:05
Expert's post
1
This post was
BOOKMARKED
Bunuel wrote:
Note: Figure not drawn to scale
Image
If x and y are numbers on the number line above, which of the following statements must be true?

I. |x+y| < y
II. x + y < 0
III. xy < 0

A. I only
B. III only
C. I and II
D. I and III
E. II and III

Kudos for a correct solution.

[Reveal] Spoiler:
Attachment:
The attachment 599_1.png is no longer available


MAGOOSH OFFICIAL SOLUTION:
Attachment:
Arithmetic_Numberline.png
Arithmetic_Numberline.png [ 26.9 KiB | Viewed 4757 times ]


FAQ: Why is Statement I not correct?

The key phrasing in this questions is "which of the following statements MUST be true." Must be true means that the statement can never be false.

If x = -9 and y = 1, then statement 1 would be false. Since we have numbers that can make statement 1 false, it does not satisfy the "MUST be true" condition.

FAQ: I thought that the bars around the x and y on answer choice I meant absolute value? As in the number of places from the number line?

Those bars most certainly do mean absolute value; however, it's important to realize that you perform the operation inside the brackets before you take the absolute value. I'll give some possibilities for x and y:

In this case it works. Let's try a different set:

x = -10
y = 3

|x + y| < y
|-10 + 3| < 3
|-7| < 3
7 < 3
_________________

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

Kudos [?]: 135577 [0], given: 12701

Expert Post
1 KUDOS received
EMPOWERgmat Instructor
User avatar
P
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 10390

Kudos [?]: 3688 [1], given: 173

Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Re: If x and y are numbers on the number line above, which of the followin [#permalink]

Show Tags

New post 01 Apr 2015, 20:39
1
This post received
KUDOS
Expert's post
Hi All,

On Test Day, Roman Numeral questions are not too common (you'll probably see just 1 in the Quant section). Sometimes they can be rather complex, but the answer choices tend to be written in such a way so that you can avoid doing some of the work. In this prompt, it looks like everyone was able to quickly prove that Roman Numerals 1 and 2 are NOT always true. After doing that work, you can eliminate 4 of the answers. The one that's left MUST be the correct one.....and you don't even have to deal with Roman Numeral 3 to prove it. Be on the lookout for these types of 'design' shortcuts - the GMAT writers put them into certain questions on purpose.

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Kudos [?]: 3688 [1], given: 173

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 14849

Kudos [?]: 287 [0], given: 0

Premium Member
Re: If x and y are numbers on the number line above, which of the followin [#permalink]

Show Tags

New post 27 Nov 2017, 13:01
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

Kudos [?]: 287 [0], given: 0

Re: If x and y are numbers on the number line above, which of the followin   [#permalink] 27 Nov 2017, 13:01
Display posts from previous: Sort by

If x and y are numbers on the number line above, which of the followin

  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 | 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®.