Answers

2016-04-30T14:40:32+05:30
Let a be any positive integer and b = 8

By Euclid's division lemma

a = bq+r where 0≤ r<b

a = 8q +r
where r = 0,1,2,3,4,5,6,7

So a = 8q = even

a= 8q+1 = odd

a= 8q+2 = even

a = 8q+3= odd

a = 8q + 4= even

a = 8q + 5 = odd

a = 8q + 6 = even

a = 8q + 7 = odd

∴ 8q, 8q + 2, 8q + 4, or 8q + 6 are even
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