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Director  Joined: 07 Jun 2004
Posts: 555
Location: PA
Is x = 0? (1) x^2 y = x^3 y (2) x^2 / y = x^3 y  [#permalink]

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1
5 00:00

Difficulty:   65% (hard)

Question Stats: 56% (01:42) correct 44% (01:39) wrong based on 143 sessions

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Is x = 0?

(1) x^2 y = x^3 y
(2) x^2 / y = x^3 y
Math Expert V
Joined: 02 Sep 2009
Posts: 58434
Re: IS x = 0  [#permalink]

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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.

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Director  S
Joined: 12 Nov 2016
Posts: 699
Location: United States
Schools: Yale '18
GMAT 1: 650 Q43 V37 GRE 1: Q157 V158 GPA: 2.66
Re: Is x = 0? (1) x^2 y = x^3 y (2) x^2 / y = x^3 y  [#permalink]

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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"
Non-Human User Joined: 09 Sep 2013
Posts: 13317
Re: Is x = 0? (1) x^2 y = x^3 y (2) x^2 / y = x^3 y  [#permalink]

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_________________ Re: Is x = 0? (1) x^2 y = x^3 y (2) x^2 / y = x^3 y   [#permalink] 28 Oct 2018, 10:50
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