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Check whether the following statement is true or not: `p :` If `x , y` are integers such that `x y` is even then at least one of `x\ a n d\ y` is an even integer.

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(i) q: if x, y are integer such that xy is even, then at least one of x and y is an even integer.
Let us assume that p and q be the statements given by
p: x and y are integers and xy is an even integer.
q: At least one of x and y is even
. ...
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