If x and y are different integers and x^2 = xy, which of the : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 24 Feb 2017, 15:19

### 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 and y are different integers and x^2 = xy, which of the

Author Message
TAGS:

### Hide Tags

Intern
Joined: 21 Aug 2011
Posts: 27
GMAT Date: 04-02-2012
GPA: 3.79
WE: Corporate Finance (Investment Banking)
Followers: 0

Kudos [?]: 15 [1] , given: 0

If x and y are different integers and x^2 = xy, which of the [#permalink]

### Show Tags

10 Mar 2012, 07:22
1
KUDOS
8
This post was
BOOKMARKED
00:00

Difficulty:

25% (medium)

Question Stats:

70% (01:51) correct 30% (01:01) wrong based on 328 sessions

### HideShow timer Statistics

If x and y are different integers and x^2 = xy, which of the following much be true?

I. x= 0
II. y = 0
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
Math Expert
Joined: 02 Sep 2009
Posts: 37108
Followers: 7253

Kudos [?]: 96530 [2] , given: 10753

Re: If x and y are different integers and x^2 = xy, which of the [#permalink]

### Show Tags

10 Mar 2012, 07:27
2
KUDOS
Expert's post
2
This post was
BOOKMARKED
Shko1 wrote:
If x and y are different integers and (x^2)=xy, which of the following much be true?

I. X = 0
II. Y = 0
III. X = -Y

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

$$x^2=xy$$ --> $$x(x-y)=0$$ --> either $$x=0$$ or $$x=y$$ but since given that $$x$$ and $$y$$ are different numbers than the second option is out and we have: $$x=0$$. So, only I is always true (in fact because of the same reason that $$x$$ and $$y$$ are different numbers II and III are never true).

_________________
Intern
Joined: 17 Jan 2012
Posts: 30
Location: India
GMAT 1: 650 Q48 V31
WE: Information Technology (Telecommunications)
Followers: 0

Kudos [?]: 14 [0], given: 13

Re: If x and y are different integers and x^2 = xy, which of the [#permalink]

### Show Tags

20 Nov 2013, 07:11
Bunuel wrote:

$$x^2=xy$$ --> $$x(x-y)=0$$ --> either $$x=0$$ or $$x=y$$ but since given that $$x$$ and $$y$$ are different numbers than the second option is out and we have: $$x=0$$. So, only I is always true (in fact because of the same reason that $$x$$ and $$y$$ are different numbers II and III are never true).

Thanks for such a nice explanation....
I was confused about option III but your solutions clarifies it perfectly....
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13957
Followers: 590

Kudos [?]: 167 [0], given: 0

Re: If x and y are different integers and x^2 = xy, which of the [#permalink]

### Show Tags

10 Dec 2014, 09:45
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.
_________________
Senior Manager
Joined: 02 Dec 2014
Posts: 388
Location: Russian Federation
Concentration: General Management, Economics
GMAT 1: 640 Q44 V33
WE: Sales (Telecommunications)
Followers: 0

Kudos [?]: 79 [0], given: 349

Re: If x and y are different integers and x^2 = xy, which of the [#permalink]

### Show Tags

29 Nov 2015, 10:39
Shko1 wrote:
If x and y are different integers and x^2 = xy, which of the following much be true?

I. x = 0
II. x = 0
III. x = -y

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

Looks like nobody edited original question. According to Bunuel's solution point II should read "Y=0". Please correct
_________________

"Are you gangsters?" - "No we are Russians!"

Intern
Joined: 04 Mar 2015
Posts: 1
Followers: 0

Kudos [?]: 0 [0], given: 14

Re: If x and y are different integers and x^2 = xy, which of the [#permalink]

### Show Tags

08 Aug 2016, 10:06
I did the following which led me to confusion:

x^2 = (x^1)(y^1)
x^2/x^1 = y^1
So, x = y

What am I doing incorrectly here?

Thanks
Intern
Joined: 08 Aug 2016
Posts: 1
Followers: 0

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

Re: If x and y are different integers and x^2 = xy, which of the [#permalink]

### Show Tags

08 Aug 2016, 10:13
In x^2, x may be positive and may be negative , you have to consider both case
But here you have taken x positive only

Sent from my iPhone using GMAT Club Forum mobile app
BSchool Forum Moderator
Joined: 12 Aug 2015
Posts: 1926
Followers: 59

Kudos [?]: 425 [0], given: 477

Re: If x and y are different integers and x^2 = xy, which of the [#permalink]

### Show Tags

10 Aug 2016, 08:19
Here as X^2=XY => X=0 or X=y but from question stem as x≠y => x=0
So only A is correct as y cannot be zero (else it will equal to x which is not allowed)
Smash that A
_________________

Give me a hell yeah ...!!!!!

Re: If x and y are different integers and x^2 = xy, which of the   [#permalink] 10 Aug 2016, 08:19
Similar topics Replies Last post
Similar
Topics:
1 If x and y are integers and x^2*y is a negative odd integer, which of 2 06 Dec 2016, 06:20
1 If x and y are integers such that x^2= y and xy = 125, then x – y = ? 3 27 Aug 2015, 10:54
4 2y - x = 2xy and x ≠ 0. If x and y are integers, which of the followin 7 23 Jun 2015, 23:04
14 If x and y are different integers and x^2 = xy, which of the 5 21 Feb 2014, 00:00
19 If x and y are different integers and x^2 = xy, which of the 13 15 Jul 2007, 07:15
Display posts from previous: Sort by