If x # y = –1, which of the following could be true? : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 24 Jan 2017, 15:37

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If x # y = –1, which of the following could be true?

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 03 Mar 2010
Posts: 440
Schools: Simon '16 (M)
Followers: 5

Kudos [?]: 271 [0], given: 22

If x # y = –1, which of the following could be true? [#permalink]

### Show Tags

14 Sep 2011, 05:48
00:00

Difficulty:

45% (medium)

Question Stats:

65% (02:25) correct 35% (01:27) wrong based on 26 sessions

### HideShow timer Statistics

x#y= (x−y)^2, if x>y
x#y= x+$$y/4$$, if x≤y

If x # y = –1, which of the following could be true?

I. x=y
II. x>y
III. x<y

(A) I only
(B) II only
(C) III only
(D) I and III only
(E) I, II, and III
[Reveal] Spoiler: OA

_________________

My dad once said to me: Son, nothing succeeds like success.

Math Forum Moderator
Joined: 20 Dec 2010
Posts: 2021
Followers: 161

Kudos [?]: 1708 [0], given: 376

Re: If x # y = –1, which of the following could be true? [#permalink]

### Show Tags

14 Sep 2011, 07:09
As always, post your timing for below question, if possible.

x#y= (x−y)^2, if x>y
x#y= x+$$y/4$$, if x≤y

If x # y = –1, which of the following could be true?
I. x=y
II. x>y
III. x<y
(A) I only
(B) II only
(C) III only
(D) I and III only
(E) I, II, and III

(2:05)

A square can never be -ve, ruled out II.

For x=y;

x+x/4=-1; 5x=-4; x=-4/5. Possible

For x>y
x+y/4=-1

x=-1-y/4=-(y+4)/4; y=-4, x=0. Possible.

Ans: "D"
_________________
Senior Manager
Joined: 03 Mar 2010
Posts: 440
Schools: Simon '16 (M)
Followers: 5

Kudos [?]: 271 [1] , given: 22

Re: If x # y = –1, which of the following could be true? [#permalink]

### Show Tags

14 Sep 2011, 07:25
1
KUDOS
fluke wrote:
For x>y
x+y/4=-1

x=-1-y/4=-(y+4)/4; y=-4, x=0. Possible.

This should be x<y.
Other than that flawless.

This custom character sometimes puzzles me.
_________________

My dad once said to me: Son, nothing succeeds like success.

Math Forum Moderator
Joined: 20 Dec 2010
Posts: 2021
Followers: 161

Kudos [?]: 1708 [0], given: 376

Re: If x # y = –1, which of the following could be true? [#permalink]

### Show Tags

14 Sep 2011, 07:39
fluke wrote:
For x>y
x+y/4=-1

x=-1-y/4=-(y+4)/4; y=-4, x=0. Possible.

This should be x<y.
Other than that flawless.

This custom character sometimes puzzles me.

That's right. thanks
_________________
Senior Manager
Joined: 11 May 2011
Posts: 372
Location: US
Followers: 3

Kudos [?]: 95 [0], given: 46

Re: If x # y = –1, which of the following could be true? [#permalink]

### Show Tags

14 Sep 2011, 13:16
Time: 1:00 min.

Approach -
Since, x # y = –1
=> x#y= (x−y)^2, if x>y - This equation is not possible becasue any square will yield positive value.
=> x#y= x+y/4, if x≤y - This equation is only possible and as it says - x≤y, Hence - D.

Cheers!
_________________

-----------------------------------------------------------------------------------------
What you do TODAY is important because you're exchanging a day of your life for it!
-----------------------------------------------------------------------------------------

Re: If x # y = –1, which of the following could be true?   [#permalink] 14 Sep 2011, 13:16
Similar topics Replies Last post
Similar
Topics:
If (1+x)y=y(x-1), which of the following must be true? 3 28 Nov 2016, 00:46
1 If (1+x)y=y(x-1), which of the following must be true? 2 23 Nov 2016, 00:51
21 If x/|y| = -1 which of the following must be true? 16 17 Jul 2016, 09:36
2 If −1<x<5, which is the following could be true? 3 04 Feb 2015, 07:53
9 If x>y and 1/x<1/y, (xy ≠ 0), which of the following could be true: 3 20 Jul 2014, 17:36
Display posts from previous: Sort by