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

 It is currently 26 Apr 2019, 08:54

### 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

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

# What is the value of y?

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 21 Oct 2013
Posts: 416
What is the value of y?  [#permalink]

### Show Tags

05 Aug 2014, 05:37
2
5
00:00

Difficulty:

65% (hard)

Question Stats:

50% (01:28) correct 50% (01:48) wrong based on 178 sessions

### HideShow timer Statistics

What is the value of y?

(1) |x| ≤ y ≤ -|x|
(2) |y| ≥ x ≥ -|y|
Intern
Joined: 31 Jul 2014
Posts: 19
Re: What is the value of y?  [#permalink]

### Show Tags

05 Aug 2014, 06:24
goodyear2013 wrote:
What is the value of y?

(1) |x| ≤ y ≤ -|x|
(2) |y| ≥ x ≥ -|y|

in case A, y can only be zero
Intern
Joined: 12 Jan 2014
Posts: 9
Location: India
GPA: 3.65
WE: Information Technology (Computer Software)
Re: What is the value of y?  [#permalink]

### Show Tags

05 Aug 2014, 07:58
Can anyone put some light on this question . I mean explain in detail.
Manager
Joined: 18 Jul 2013
Posts: 74
Location: Italy
GMAT 1: 600 Q42 V31
GMAT 2: 700 Q48 V38
GPA: 3.75
What is the value of y?  [#permalink]

### Show Tags

05 Aug 2014, 09:25
4
goodyear2013 wrote:
What is the value of y?

(1) |x| ≤ y ≤ -|x|
(2) |y| ≥ x ≥ -|y|

(1) |x| is always ≥ 0 as an absolute value is always ≥ 0. Therefore -|x| is always ≤ 0.
In (1) we are told that |x| ≤ -|x| that can alway be true only if x=0. Example : if x=-3, |-3| ≥ -|-3|. If x=1, |1| ≥ -|1|.
Therefore |0| ≤ y ≤ -|0|, which means y = 0. (1) Sufficient

(2) We are told that |y| ≥ -|y|, y could be any value. Not sufficient.

Math Expert
Joined: 02 Sep 2009
Posts: 54696
Re: What is the value of y?  [#permalink]

### Show Tags

12 Aug 2014, 04:18
1
What is the value of y?

(1) |x| ≤ y ≤ -|x| --> from |x| ≤ -|x| we can get that 2|x| ≤ 0 --> |x| ≤ 0 --> x = 0. So, we have that 0 ≤ y ≤ 0 --> y = 0. Sufficient.

(2) |y| ≥ x ≥ -|y|. |y| ≥ -|y| holds for any value of y. Not sufficient.

Hope it's clear.
_________________
Director
Joined: 23 Jan 2013
Posts: 549
Schools: Cambridge'16
What is the value of y?  [#permalink]

### Show Tags

Updated on: 23 Sep 2015, 22:35
What is Y?

Tried to get logically, not algebra

St1. |x|<=y<=-|x|. Is it possible that some Y is more than +ive X and less than -ive X or equal them in one time? No. The only possiblity is when X=0, so 0<=y<=0, y=0. SUFF

St2. |y| ≥ x ≥ -|y|. In this case some X is less than +ive Y and more than -ive Y or equal them. Infinite Ys can be suggested. INSUFF

A

Originally posted by Temurkhon on 22 Sep 2015, 01:55.
Last edited by Temurkhon on 23 Sep 2015, 22:35, edited 1 time in total.
Manager
Joined: 13 Mar 2013
Posts: 162
Location: United States
GPA: 3.5
WE: Engineering (Telecommunications)
Re: What is the value of y?  [#permalink]

### Show Tags

23 Sep 2015, 22:24
Hi Bunuel ,

please can you explain the solution in detail.. unable to understand the solution .
_________________
Regards ,
Non-Human User
Joined: 09 Sep 2013
Posts: 10651
Re: What is the value of y?  [#permalink]

### Show Tags

13 Aug 2017, 00:44
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: What is the value of y?   [#permalink] 13 Aug 2017, 00:44
Display posts from previous: Sort by