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

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If x, y are positive integers, is x*y even? S1. When [#permalink] New post 02 Jul 2005, 21:08
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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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Re: DS - Remainder [#permalink] New post 02 Jul 2005, 23:34
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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Re: DS - Remainder [#permalink] New post 03 Jul 2005, 01:25
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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 [#permalink] New post 03 Jul 2005, 07:29
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.
  [#permalink] 03 Jul 2005, 07:29
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