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

It is currently 14 Oct 2019, 20:58

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|+x>|x|? 1) x<y^2 2) x+y^2<0

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

Hide Tags

Find Similar Topics 
VP
VP
User avatar
V
Joined: 23 Feb 2015
Posts: 1254
GMAT ToolKit User Premium Member
Is |x|+x>|x|? 1) x<y^2 2) x+y^2<0  [#permalink]

Show Tags

New post 10 Mar 2019, 09:52
2
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

54% (01:20) correct 46% (01:27) wrong based on 69 sessions

HideShow timer Statistics

Is \(|x|+x>|x|\)?
1) \(x<y^2\)
2) \(x+y^2<0\)

_________________
“The heights by great men reached and kept were not attained in sudden flight but, they while their companions slept, they were toiling upwards in the night.”
Henry Wadsworth Longfellow

Do you need official questions for Quant?
3700 Unique Official GMAT Quant Questions
------
SEARCH FOR ALL TAGS
GMAT Club Tests
Senior Manager
Senior Manager
avatar
G
Joined: 25 Feb 2019
Posts: 336
Re: Is |x|+x>|x|? 1) x<y^2 2) x+y^2<0  [#permalink]

Show Tags

New post 10 Mar 2019, 10:02
statement 1

x is always positive so the the answer is yes .

statement 2 .

x is negative , then

the answer is always No .



IMO D .

each one is sufficient

Posted from my mobile device
Math Expert
avatar
V
Joined: 02 Aug 2009
Posts: 7957
Re: Is |x|+x>|x|? 1) x<y^2 2) x+y^2<0  [#permalink]

Show Tags

New post 10 Mar 2019, 10:06
Is \(|x|+x>|x|\)?
Now |x| is not negative, so subtract it from both sides without changing the inequality sign..=> the question becomes ' Is x>0?'
1) \(x<y^2\)
x can be both negative and positive.. say y=2 and x = -1, or y=2 and x=1...Insufficient
2) \(x+y^2<0\)
\(y^2\) will be 0 at the least so x<0 OR \(x+y^2<0....x<-y^2...x<0\)
The answer is NO...Sufficient
_________________
Math Expert
avatar
V
Joined: 02 Aug 2009
Posts: 7957
Re: Is |x|+x>|x|? 1) x<y^2 2) x+y^2<0  [#permalink]

Show Tags

New post 10 Mar 2019, 10:06
m1033512 wrote:
statement 1

x is always positive so the the answer is yes .

statement 2 .

x is negative , then

the answer is always No .



IMO D .

each one is sufficient

Posted from my mobile device


Check statement 1....
_________________
Senior Manager
Senior Manager
avatar
G
Joined: 25 Feb 2019
Posts: 336
Re: Is |x|+x>|x|? 1) x<y^2 2) x+y^2<0  [#permalink]

Show Tags

New post 10 Mar 2019, 10:13
chetan2u wrote:
m1033512 wrote:
statement 1

x is always positive so the the answer is yes .

statement 2 .

x is negative , then

the answer is always No .



IMO D .

each one is sufficient

Posted from my mobile device


Check statement 1....


Thanks Chetan ,

x < y^2 , so x can be negative also,

I wrongly assumed x can not be negative
SVP
SVP
User avatar
V
Joined: 26 Mar 2013
Posts: 2343
Reviews Badge CAT Tests
Re: Is |x|+x>|x|? 1) x<y^2 2) x+y^2<0  [#permalink]

Show Tags

New post 10 Mar 2019, 10:19
chetan2u wrote:
Is \(|x|+x>|x|\)?
Now |x| is not negative, so subtract it from both sides without changing the inequality sign..=> the question becomes ' Is x>0?'
1) \(x<y^2\)
x can be both negative and positive.. say y=2 and x = -1, or y=2 and x=1...Insufficient
2) \(x+y^2<0\)
\(y^2\) will be 0 at the least so x<0 OR \(x+y^2<0....x<-y^2...x<0\)
The answer is NO...Sufficient


In Statement 1, x could be zero as well.
GMAT Club Bot
Re: Is |x|+x>|x|? 1) x<y^2 2) x+y^2<0   [#permalink] 10 Mar 2019, 10:19
Display posts from previous: Sort by

Is |x|+x>|x|? 1) x<y^2 2) x+y^2<0

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





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