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What is the value of xy ? (1) y = x – 2 (2) y + 2 = x^3

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Joined: 02 Sep 2009
Posts: 47898
What is the value of xy ? (1) y = x – 2 (2) y + 2 = x^3  [#permalink]

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New post 03 Sep 2017, 05:36
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Difficulty:

  35% (medium)

Question Stats:

85% (00:59) correct 15% (00:39) wrong based on 46 sessions

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Re: What is the value of xy ? (1) y = x – 2 (2) y + 2 = x^3  [#permalink]

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New post 03 Sep 2017, 08:20
Bunuel wrote:
What is the value of xy ?

(1) y = x – 2
(2) y + 2 = x^3



Hi..

Clearly each statement alone is insufficient , so let's see combined

y=x-2 or x=y+2
Also \(x^3=y+2..........so...x=x^3.....x^3-x=0.....x(x^2-1)=0\)
So x can be 0,1 or -1
And for X=0, y =x-2=-2.... Irrespective of y, xy=0
x=1, y=1-2=-1..xy=-1
Different answers
Insufficient

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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: What is the value of xy ? (1) y = x – 2 (2) y + 2 = x^3 &nbs [#permalink] 03 Sep 2017, 08:20
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