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14 May 2017, 11:31
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If x is an integer, is \(\sqrt{x^2 + y^2}\) an integer?
(1) \(x^2 − y^2 = 0\)
(2) \(x^2 − k^2 = −y^2\) for some positive integer k
(1) \(x^2 − y^2 = 0\)
(2) \(x^2 − k^2 = −y^2\) for some positive integer k
gmatexam439
14 May 2017, 12:53
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Bunuel
If x is an integer, is \(\sqrt{x^2 + y^2}\) an integer?
(1) \(x^2 − y^2 = 0\)
(2) \(x^2 − k^2 = −y^2\) for some positive integer k
(1) \(x^2 − y^2 = 0\)
(2) \(x^2 − k^2 = −y^2\) for some positive integer k
D
1. root 2*x will never be an integer
sufficient
2.root K^2 will always be an integer
sufficient
14 May 2017, 22:33
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x^2-y^2=0
so x=y or x=-y
so we get root 2 * y
We dont know y
if y = root 2
then above expression = int
if not then no
Insufficient
Statement 2 is obviously sufficient
B
so x=y or x=-y
so we get root 2 * y
We dont know y
if y = root 2
then above expression = int
if not then no
Insufficient
Statement 2 is obviously sufficient
B
