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Show that every postitive even integer i...

Show that every postitive even integer is of the form `2q`, and that every positive odd integer is of the form `2q+1`, where q is some integer.

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Use Euclids division lemma to show that the cube of positive integer is of the form 9m,9m+1 or 9m+8. (OR) Show that the cube of any positive integer is of form 9m or 9m+1 or 9m+8 , where m is an integer.

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