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|x-y|=? 1) x and y are integers 2) xy=5

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Math Revolution GMAT Instructor
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Joined: 16 Aug 2015
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|x-y|=? 1) x and y are integers 2) xy=5 [#permalink]

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New post 07 Sep 2017, 01:46
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Question Stats:

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[GMAT math practice question]

|x-y|=?

1) x and y are integers
2) xy=5

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
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Math Expert
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Joined: 02 Aug 2009
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Re: |x-y|=? 1) x and y are integers 2) xy=5 [#permalink]

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New post 07 Sep 2017, 02:30
MathRevolution wrote:
[GMAT math practice question]

|x-y|=?

1) x and y are integers
2) xy=5



Hi...

Nothing much out of statement I..
Statement II..
xy=5..
If x=1, y=5.....|x-y|=|1-5|=4
If x=1/5, y=25.....|x-y|=|1/5-25|=124/25
Different answers possible
Insufficient

Let's see combined
X and y are INTEGERS and xy =5, which is a PRIME number.
Any prime number has ONLY 2 factors, 1 and itself..
So 5=1*5 or -1*-5
|x-y|=|1-5|=4......|5-1|=4.......|-1-(-5)|=4......|-5-(-1)|=4
All case ans is 4
Sufficient

C
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Expert Post
Math Revolution GMAT Instructor
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Joined: 16 Aug 2015
Posts: 5600
GMAT 1: 800 Q59 V59
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Re: |x-y|=? 1) x and y are integers 2) xy=5 [#permalink]

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New post 10 Sep 2017, 18:19
=>
1) It is not sufficient definitely.

2) x = 1, y = 2 and x = 2, y = 5/2
We don’t have a unique solution.

1) & 2)
We have the following cases.
x = 1, y = 5 / x = -1, y = -5 / x = 5, y = 1 / x = 1, y = 5
All of them have |x-y| = 4.
Thus we have a unique solution.
Both conditions together are sufficient.

Ans: C
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Re: |x-y|=? 1) x and y are integers 2) xy=5   [#permalink] 10 Sep 2017, 18:19
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