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# If xy = 1, what is the value of x? 1) x and y are positive. 2) x and y

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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If xy = 1, what is the value of x? 1) x and y are positive. 2) x and y  [#permalink]

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15 Oct 2017, 06:15
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25% (medium)

Question Stats:

68% (00:37) correct 32% (00:26) wrong based on 37 sessions

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If xy = 1, what is the value of x?

1) x and y are positive.
2) x and y are integers.

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If xy = 1, what is the value of x? 1) x and y are positive. 2) x and y  [#permalink]

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Updated on: 15 Oct 2017, 06:22
MathRevolution wrote:
If xy = 1, what is the value of x?

1) x and y are positive.
2) x and y are integers.

Statement 1: $$x= 2$$ & $$y=0.5$$ or $$x=0.5$$ & $$y=2$$. Hence no unique solution. Insufficient

Statement 2: $$x=-1$$ & $$y=-1$$ or $$x=1$$ & $$y=1$$ Hence no unique solution. Insufficient

Combining 1 & 2, there is only one possible solution $$x=1$$ & $$y=1$$. Sufficient

Option C

Originally posted by niks18 on 15 Oct 2017, 06:20.
Last edited by niks18 on 15 Oct 2017, 06:22, edited 2 times in total.
Math Expert
Joined: 02 Aug 2009
Posts: 6797
Re: If xy = 1, what is the value of x? 1) x and y are positive. 2) x and y  [#permalink]

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15 Oct 2017, 06:21
MathRevolution wrote:
If xy = 1, what is the value of x?

1) x and y are positive.
2) x and y are integers.

xy=1

lets see the statements

1) x and y are positive.
x can be $$\frac{1}{2}$$ and y as 2 or vice versa
x can be 1 and y too 1
insuff

2) x and y are integers
x and y can be 1 each or -1 each
$$1*1=1$$ and $$-1*-1=1$$
insuff

combined
only possibility is x and y as 1
suff

C
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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: If xy = 1, what is the value of x? 1) x and y are positive. 2) x and y &nbs [#permalink] 15 Oct 2017, 06:21
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