Last visit was: 13 Dec 2024, 13:51 It is currently 13 Dec 2024, 13:51
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
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 13 Dec 2024
Posts: 97,873
Own Kudos:
685,612
 []
Given Kudos: 88,268
Products:
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 97,873
Kudos: 685,612
 []
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
User avatar
jedit
Joined: 14 Oct 2015
Last visit: 07 Sep 2021
Posts: 206
Own Kudos:
Given Kudos: 854
GPA: 3.57
Products:
Posts: 206
Kudos: 363
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
mcmoorthy
Joined: 12 Dec 2010
Last visit: 12 Dec 2024
Posts: 79
Own Kudos:
83
 []
Given Kudos: 639
Posts: 79
Kudos: 83
 []
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
avatar
Shiv2016
Joined: 02 Sep 2016
Last visit: 14 Aug 2024
Posts: 522
Own Kudos:
Given Kudos: 277
Posts: 522
Kudos: 202
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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
User avatar
shashankism
Joined: 13 Mar 2017
Last visit: 09 Dec 2024
Posts: 619
Own Kudos:
Given Kudos: 88
Affiliations: IIT Dhanbad
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE:Engineering (Energy)
Posts: 619
Kudos: 624
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

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
User avatar
Mo2men
Joined: 26 Mar 2013
Last visit: 09 May 2023
Posts: 2,453
Own Kudos:
Given Kudos: 641
Concentration: Operations, Strategy
Schools: Erasmus (II)
Products:
Schools: Erasmus (II)
Posts: 2,453
Kudos: 1,409
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

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
avatar
FB2017
Joined: 18 Jun 2017
Last visit: 14 Sep 2017
Posts: 50
Own Kudos:
Given Kudos: 165
Posts: 50
Kudos: 13
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I. xy < 0
III. x – y < 0
satisfies the inequality for x<0 and y>0
So D
avatar
AqsaGhori
Joined: 13 Jul 2017
Last visit: 12 Nov 2017
Posts: 26
Given Kudos: 18
Posts: 26
Kudos: 0
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 13 Dec 2024
Posts: 19,868
Own Kudos:
Given Kudos: 288
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 19,868
Kudos: 24,282
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

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
Moderator:
Math Expert
97873 posts