show that one and only one out of n,n+8,n+12 and n+4,n+16 is divisible by 5 where n is positive integer
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clearly,if n is div. by 5,then n+5 or n-5 willbe so
for n+8,n+13 or n+3
for n+12,n+17 or n+7
for n+4,n+9 or n-1
for n+16,n+21 or n+11
for n+8,n+13 or n+3
for n+12,n+17 or n+7
for n+4,n+9 or n-1
for n+16,n+21 or n+11
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