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Is x = 0? (1) x^2 y = x^3 y (2) x^2 / y = x^3 y

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Director
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Is x = 0? (1) x^2 y = x^3 y (2) x^2 / y = x^3 y  [#permalink]

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New post 07 Feb 2012, 16:23
1
2
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A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

53% (01:45) correct 47% (01:47) wrong based on 103 sessions

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Is x = 0?

(1) x^2 y = x^3 y
(2) x^2 / y = x^3 y

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Re: IS x = 0  [#permalink]

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New post 07 Feb 2012, 16:30
Is x = 0?

(1) x^2 y = x^3 y --> x^2y(x-1)=0 --> x=0, y=0 or x=1. Not sufficient.

(2) x^2 / y= x^3 y --> x^2(xy-1/y) --> x=0 or xy^2=1. Not sufficient.

(1)+(2) It's possible that x=0 but it's also possible that x=1 (and y=1 for example). Not sufficient.

Answer: E.
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Re: Is x = 0? (1) x^2 y = x^3 y (2) x^2 / y = x^3 y  [#permalink]

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New post 24 May 2017, 15:36
rxs0005 wrote:
Is x = 0?

(1) x^2 y = x^3 y
(2) x^2 / y = x^3 y


Statement 1 is simply statement crossed multiplied; statement 2 gives us the possibility of 1 for X but also the possibility of 0 since y is constant. Therefore, because statement 2 is statement 1 and statement 2 is insufficient statement is insufficient.

Hence

"E"
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Re: Is x = 0? (1) x^2 y = x^3 y (2) x^2 / y = x^3 y &nbs [#permalink] 24 May 2017, 15:36
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