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If x and y are different integers and x^2 = xy, which of the [#permalink]
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10 Mar 2012, 07:22
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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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Re: If x and y are different integers and x^2 = xy, which of the [#permalink]
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10 Mar 2012, 07:27
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Re: If x and y are different integers and x^2 = xy, which of the [#permalink]
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20 Nov 2013, 07:11
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 [#permalink]
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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
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Re: If x and y are different integers and x^2 = xy, which of the [#permalink]
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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



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



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Re: If x and y are different integers and x^2 = xy, which of the [#permalink]
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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
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If x and y are different integers and x^2 = xy, which of the [#permalink]
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29 Apr 2017, 06:10
This question has been discussed here: https://gmatclub.com/forum/ifxandya ... 67779.html
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Re: If x and y are different integers and x^2 = xy, which of the [#permalink]
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10 Jan 2018, 12:47
(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.




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