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Intern
Joined: 21 Aug 2011
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Concentration: Leadership, Finance
GMAT Date: 04022012
GPA: 3.79
WE: Corporate Finance (Investment Banking)

If x and y are different integers and x^2 = xy, which of the
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10 Mar 2012, 08:22
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71% (01:18) correct 29% (01:21) wrong based on 580 sessions
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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
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Math Expert
Joined: 02 Sep 2009
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Re: If x and y are different integers and x^2 = xy, which of the
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10 Mar 2012, 08:27
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 \(x^2=xy\) > \(x(xy)=0\) > 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). Answer: A.
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Intern
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Re: If x and y are different integers and x^2 = xy, which of the
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20 Nov 2013, 08:11
Bunuel wrote: \(x^2=xy\) > \(x(xy)=0\) > 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).
Answer: A.
Thanks for such a nice explanation.... I was confused about option III but your solutions clarifies it perfectly....



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Re: If x and y are different integers and x^2 = xy, which of the
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29 Nov 2015, 11:39
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
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Intern
Joined: 04 Mar 2015
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Re: If x and y are different integers and x^2 = xy, which of the
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08 Aug 2016, 11:06
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
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Re: If x and y are different integers and x^2 = xy, which of the
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08 Aug 2016, 11:13
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



Current Student
Joined: 12 Aug 2015
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Re: If x and y are different integers and x^2 = xy, which of the
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10 Aug 2016, 09:19
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
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Concentration: Accounting, Leadership
GMAT 1: 410 Q18 V27 GMAT 2: 490 Q35 V23

If x and y are different integers and x^2 = xy, which of the
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29 Apr 2017, 07:10
This question has been discussed here: https://gmatclub.com/forum/ifxandya ... 67779.html
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Manager
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Re: If x and y are different integers and x^2 = xy, which of the
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10 Jan 2018, 13:47
(x)(x)=(x)(y)
Now if x does not = 0 we can divide both sides by x to get x=y. But we know x cannot equal y. Therefore it is impossible for x not to be 0. So x Has to be 0.
Y does not have to be 0. x can =0 and y can equal 3 for example. This eliminates choices 2 and 3.



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Re: If x and y are different integers and x^2 = xy, which of the
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09 Feb 2019, 07:34
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 KeyWord: If x and y are different integers x^2 = xy x^2 xy =0 x(xy) = 0 Only one case is possible i.e. x=0 A
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Re: If x and y are different integers and x^2 = xy, which of the
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09 Feb 2019, 07:34






