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

It is currently 16 Oct 2019, 17:27

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 0 > x > y, then which of the following must be true?

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58381
If 0 > x > y, then which of the following must be true?  [#permalink]

Show Tags

New post 23 Jan 2019, 02:47
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

57% (01:43) correct 43% (01:40) wrong based on 69 sessions

HideShow timer Statistics

Director
Director
avatar
G
Joined: 09 Mar 2018
Posts: 996
Location: India
Re: If 0 > x > y, then which of the following must be true?  [#permalink]

Show Tags

New post 23 Jan 2019, 03:07
Bunuel wrote:
If \(0 > x > y\), then which of the following must be true?


I. \(x^2 – y^2 < 0\)

II. \(\frac{1}{x^2} < 1\)

III. \(\frac{x + y}{x} > 0\)

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


IMO D

If \(0 > x > y\), this will mean x and y are -ive numbers, integers or fractions for that matter

I. \(x^2 – y^2 < 0\)

x = - 0.1 and y =- 0.2, 0.01 - 0.04 < 0, Yes

x = -1 and y = -2, 1 - 4 < 0, Yes
x will always be greater than y, in which y will have a greater value when squared

II. \(\frac{1}{x^2} < 1\)
this wont be true all the time,

x = - 0.1, 1/0.01 = 100 < 1, No

x = -2, 1/4 = 0.25 < 1, Yes


III. [m]\frac{x + y}{x} > 0

x = -1, y= -2, -1-2/-1 > 0, 3 > 0, Yes

x = -1/4, y =-1/2, Yes
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.
GMAT Club Legend
GMAT Club Legend
User avatar
D
Joined: 18 Aug 2017
Posts: 5009
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member
Re: If 0 > x > y, then which of the following must be true?  [#permalink]

Show Tags

New post 23 Jan 2019, 06:44
from given expression it can be quoted that both x & y are +ve

so solve for expression using values of x & y as
x= 1, 1/2 and y = 2, 3/3

we find that options 1 & 3 stand true

so
IMO D


Bunuel wrote:
If \(0 > x > y\), then which of the following must be true?


I. \(x^2 – y^2 < 0\)

II. \(\frac{1}{x^2} < 1\)

III. \(\frac{x + y}{x} > 0\)

A. I only
B. II only
C. III only
D. I and III only
E. I, II, and III
Intern
Intern
avatar
Joined: 23 Jan 2019
Posts: 1
Re: If 0 > x > y, then which of the following must be true?  [#permalink]

Show Tags

New post 23 Jan 2019, 07:13
x= -1
y= -2

Option1::
(-1)^2-(-2)^2= 1-4= -3<0

Option 2::
1/(-1)^2= 1
Is not true

Option 3::

-1-2/-1= 3>0

Posted from my mobile device
SVP
SVP
User avatar
P
Joined: 03 Jun 2019
Posts: 1691
Location: India
Premium Member Reviews Badge CAT Tests
Re: If 0 > x > y, then which of the following must be true?  [#permalink]

Show Tags

New post 08 Oct 2019, 02:46
Bunuel wrote:
If \(0 > x > y\), then which of the following must be true?


I. \(x^2 – y^2 < 0\)

II. \(\frac{1}{x^2} < 1\)

III. \(\frac{x + y}{x} > 0\)

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


I. \(x^2 – y^2 < 0\)
Since 0>x > y ; |x| < |y|; x^2 - y^2 < 0
MUST BE TRUE

II. \(\frac{1}{x^2} < 1\)
If 0>x>-1; 1/x^2 > 1
If x<-1; 1/x^2 < 1
COULD BE TRUE

III. \(\frac{x + y}{x} > 0\)
1 + y/x > 0 ; Since y/x > 1
MUST BE TRUE

IMO D
_________________
"Success is not final; failure is not fatal: It is the courage to continue that counts."

Please provide kudos if you like my post. Kudos encourage active discussions.

My GMAT Resources: -

Efficient Learning
All you need to know about GMAT quant

Tele: +91-11-40396815
Mobile : +91-9910661622
E-mail : kinshook.chaturvedi@gmail.com
GMAT Club Bot
Re: If 0 > x > y, then which of the following must be true?   [#permalink] 08 Oct 2019, 02:46
Display posts from previous: Sort by

If 0 > x > y, then which of the following must be true?

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





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