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# If x, y are positive integers, is x*y even? S1. When

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Joined: 30 May 2005
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If x, y are positive integers, is x*y even? S1. When [#permalink]

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02 Jul 2005, 20:08
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If x, y are positive integers, is x*y even？

S1. When x^3+y^3 is divided by 4, the remainder is 1.

S2. When x^2+y^2 is divided by 8, the remainder is 3.

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SVP
Joined: 05 Apr 2005
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02 Jul 2005, 22:34
D. from both statements, it is known that either of one statement is even and the other one is odd. so the at least one even integer is enough to say that the product of xy is even.

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Director
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03 Jul 2005, 00:25
AJB77 wrote:
If x, y are positive integers, is x*y even？

S1. When x^3+y^3 is divided by 4, the remainder is 1.

S2. When x^2+y^2 is divided by 8, the remainder is 3.

1) the sum needs to be odd, either x or y is even, suff
2) same, suff
D.

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Director
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03 Jul 2005, 06:29
It has to be D

for each stmt to be divisible by 4 and 8 yet leave a remainder, either x or y has to be even or odd.
even * odd = even.

Kudos [?]: 55 [0], given: 0

03 Jul 2005, 06:29
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# If x, y are positive integers, is x*y even? S1. When

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