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

It is currently 19 Oct 2018, 11:03

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

What is the value of y?

  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: 50002
What is the value of y?  [#permalink]

Show Tags

New post 03 Dec 2017, 00:50
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

53% (01:22) correct 47% (01:46) wrong based on 90 sessions

HideShow timer Statistics

PS Forum Moderator
avatar
D
Joined: 25 Feb 2013
Posts: 1216
Location: India
GPA: 3.82
GMAT ToolKit User Premium Member Reviews Badge
What is the value of y?  [#permalink]

Show Tags

New post 03 Dec 2017, 03:47
1
Bunuel wrote:
What is the value of y?


(1) \(|x| \leq y \leq -|x|\)

(2) \(|y| \geq x \geq -|y|\)


Statement 1: Mod is always positive. So for \(y≥|x |=> y≥0\)

and for \(y≤-|x| => y≤0\). so only possible value is \(y=0\). Sufficient

Statement 2: \(y\) can take any value. Insufficient

Option \(A\)
Intern
Intern
avatar
B
Joined: 15 Oct 2017
Posts: 17
Location: India
Concentration: Marketing, Finance
GMAT 1: 710 Q49 V38
GPA: 2.72
WE: Engineering (Aerospace and Defense)
Re: What is the value of y?  [#permalink]

Show Tags

New post 04 Dec 2017, 01:55
niks18 wrote:
Bunuel wrote:
What is the value of y?


(1) \(|x| \leq y \leq -|x|\)

(2) \(|y| \geq x \geq -|y|\)


Statement 1: Mod is always positive. So for \(y≥|x |=> y≥0\)

and for \(y≤-|x| => y≤0\). so only possible value is \(y=0\). Sufficient

Statement 2: \(y\) can take any value. Insufficient

Option \(A\)


I don't know if your reasoning for statement 1 being possible is correct. It would've been right if the equation was y≤|-x| but since y≤-|x|, x can also take any value in this equation. So, this is insufficient as well since there's no unique value.

Please correct me if I'm wrong
DS Forum Moderator
avatar
P
Joined: 22 Aug 2013
Posts: 1348
Location: India
Premium Member
Re: What is the value of y?  [#permalink]

Show Tags

New post 04 Dec 2017, 02:16
strawhat316 wrote:
niks18 wrote:
Bunuel wrote:
What is the value of y?


(1) \(|x| \leq y \leq -|x|\)

(2) \(|y| \geq x \geq -|y|\)


Statement 1: Mod is always positive. So for \(y≥|x |=> y≥0\)

and for \(y≤-|x| => y≤0\). so only possible value is \(y=0\). Sufficient

Statement 2: \(y\) can take any value. Insufficient

Option \(A\)


I don't know if your reasoning for statement 1 being possible is correct. It would've been right if the equation was y≤|-x| but since y≤-|x|, x can also take any value in this equation. So, this is insufficient as well since there's no unique value.

Please correct me if I'm wrong


Hi

The first statement goes like this:
|x|≤y≤−|x|
So its not just that y≤−|x|, but we also have |x|≤y. Now |x| can never be negative, it will be either 0 or positive. So when we have |x|≤y, then y will also be either 0 or positive. But going by y≤−|x|, y will be either 0 or negative (because |x| is either 0 or positive, and -|x| will thus be either 0 or negative).
Now combining these two pieces of information together from this statement only: y is either 0 or positive, and y is either 0 or negative. This tells us that y can only be 0. And x will also be 0, thats the only case possible.
Intern
Intern
avatar
B
Joined: 15 Oct 2017
Posts: 17
Location: India
Concentration: Marketing, Finance
GMAT 1: 710 Q49 V38
GPA: 2.72
WE: Engineering (Aerospace and Defense)
Re: What is the value of y?  [#permalink]

Show Tags

New post 04 Dec 2017, 02:20
Got it. I didn't look into the inequality signs closely enough. My bad. Thanks!

Sent from my ONE A2003 using GMAT Club Forum mobile app
GMAT Club Bot
Re: What is the value of y? &nbs [#permalink] 04 Dec 2017, 02:20
Display posts from previous: Sort by

What is the value of y?

  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®.