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

It is currently 23 Apr 2019, 03:08

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

If x, y are points on the number line above, which of the following mu

  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: 54462
If x, y are points on the number line above, which of the following mu  [#permalink]

Show Tags

New post 12 Jul 2017, 01:34
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

79% (00:47) correct 21% (00:46) wrong based on 96 sessions

HideShow timer Statistics

Image
Note: not drawn to scale.

If x, y are points on the number line above, which of the following must be true?

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

(A) I only
(B) III only
(C) I and II only
(D) I and III only
(E) I, II and III


Attachment:
2017-07-12_1233.png
2017-07-12_1233.png [ 2.34 KiB | Viewed 1104 times ]

_________________
Manager
Manager
avatar
P
Joined: 14 Oct 2015
Posts: 249
GPA: 3.57
Reviews Badge
If x, y are points on the number line above, which of the following mu  [#permalink]

Show Tags

New post Updated on: 12 Jul 2017, 02:56
Bunuel wrote:
Image
If x, y are points on the number line above, which of the following must be true?

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

(A) I only
(B) III only
(C) I and II only
(D) I and III only
(E) I, II and III


Attachment:
2017-07-12_1233.png


Assuming this is not drawn to scale, answer should be D.

Edit: To correct my mistake.
_________________
Please hit Kudos if this post helped you inch closer to your GMAT goal.
Procrastination is the termite constantly trying to eat your GMAT tree from the inside.
There is one fix to every problem, working harder!

Originally posted by jedit on 12 Jul 2017, 01:48.
Last edited by jedit on 12 Jul 2017, 02:56, edited 2 times in total.
Intern
Intern
avatar
B
Joined: 12 Dec 2010
Posts: 42
GMAT ToolKit User
Re: If x, y are points on the number line above, which of the following mu  [#permalink]

Show Tags

New post 12 Jul 2017, 01:51
1
jedit wrote:
Bunuel wrote:
Image
If x, y are points on the number line above, which of the following must be true?

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

(A) I only
(B) III only
(C) I and II only
(D) I and III only
(E) I, II and III


Attachment:
2017-07-12_1233.png


Assuming this is not drawn to scale, answer should be A.

Hi jedit,

Given y is positive and x is negative x-y should be negative. So III must be true.

Ans D

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app
Director
Director
avatar
G
Joined: 02 Sep 2016
Posts: 663
Re: If x, y are points on the number line above, which of the following mu  [#permalink]

Show Tags

New post 12 Jul 2017, 03:15
Though the figure is not drawn to scale but it looks like x is negative and y is positive. We don't know anything about the spacing of these points and their distance from zero.

So x*y<0 and x-y<0
_________________
Help me make my explanation better by providing a logical feedback.

If you liked the post, HIT KUDOS !!

Don't quit.............Do it.
Director
Director
User avatar
D
Affiliations: IIT Dhanbad
Joined: 13 Mar 2017
Posts: 723
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: If x, y are points on the number line above, which of the following mu  [#permalink]

Show Tags

New post 12 Jul 2017, 05:55
Bunuel wrote:
Image
Note: not drawn to scale.

If x, y are points on the number line above, which of the following must be true?

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

(A) I only
(B) III only
(C) I and II only
(D) I and III only
(E) I, II and III


Attachment:
2017-07-12_1233.png


x is negative and y is positive .
y has a more distance from 0 than x has from 0.
So, |y| > |x|

I. xy < 0
II. x + y >0
III. x - y < 0

Answer D
_________________
CAT 2017 (98.95) & 2018 (98.91) : 99th percentiler
UPSC Aspirants : Get my app UPSC Important News Reader from Play store.

MBA Social Network : WebMaggu


Appreciate by Clicking +1 Kudos ( Lets be more generous friends.)



What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish".
SVP
SVP
User avatar
V
Joined: 26 Mar 2013
Posts: 2137
Reviews Badge CAT Tests
Re: If x, y are points on the number line above, which of the following mu  [#permalink]

Show Tags

New post 13 Jul 2017, 05:27
Bunuel wrote:
Image
Note: not drawn to scale.

If x, y are points on the number line above, which of the following must be true?

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

(A) I only
(B) III only
(C) I and II only
(D) I and III only
(E) I, II and III


Let's plug in numbers
x =-1 & y=1 (but we need to consider other numbers if needed)

I) xy = -1 * 1 = -1......( Any +ve number * Any -ve number = -ve number)

II) x + y = -1 + 1 = 0..Eliminate II

III) x – y = -1 -1 =-2 <0.......( Any -ve number - Any +ve number = -ve number)

Answer: D
Manager
Manager
avatar
B
Joined: 18 Jun 2017
Posts: 59
Re: If x, y are points on the number line above, which of the following mu  [#permalink]

Show Tags

New post 15 Jul 2017, 07:05
I. xy < 0
III. x – y < 0
satisfies the inequality for x<0 and y>0
So D
Intern
Intern
avatar
B
Joined: 13 Jul 2017
Posts: 29
Re: If x, y are points on the number line above, which of the following mu  [#permalink]

Show Tags

New post 16 Jul 2017, 08:33
It should be D
Take numbers x=-1,y=2
Case:1
xy<0
-1*2=-2 satisfies
Case:2
x+y<0
-1+2=1 doesnot satisfies
Case:3
x-y<0
-1-2=-3 satisfies
You can take anyother number as well
Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 5807
Location: United States (CA)
Re: If x, y are points on the number line above, which of the following mu  [#permalink]

Show Tags

New post 16 Jul 2017, 17:18
Bunuel wrote:
Image
Note: not drawn to scale.

If x, y are points on the number line above, which of the following must be true?

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

(A) I only
(B) III only
(C) I and II only
(D) I and III only
(E) I, II and III


We see that x is negative and y is positive. Let’s analyze each Roman numeral.

I. xy < 0

Since x is negative and y is positive, xy < 0. Roman numeral I is true.

II. x + y < 0

Because the figure is not drawn to scale, we cannot tell if the sum x + y will be negative, positive, or zero. Roman numeral II is not necessarily true.

III. x – y < 0

Since x is negative and y is positive, x - y will always be less than zero. Roman numeral III is true.

Answer: D
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

GMAT Club Bot
Re: If x, y are points on the number line above, which of the following mu   [#permalink] 16 Jul 2017, 17:18
Display posts from previous: Sort by

If x, y are points on the number line above, which of the following mu

  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®.