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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
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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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New post 15 Oct 2017, 06:15
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A
B
C
D
E

Difficulty:

  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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New post 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.
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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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New post 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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