1. Show that the cube of a positive integer of the form 6q+r, q is an integer and
r=0, 1, 2, 3, 4, 5 is also of the form 6m +r.
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Answer. Hence, the cube of a positive integer of the form 6q + r,q is an integer and r = 0,1,2, 3, 4,5 is also of the forms 6m, 6m + 1, 6m + 2, 6m + 3,6m + 4 and 6m + 5 i.e.,6m + r.
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