Q. 5 Show that one and only one out of n, n +4,0 + 8, +12 and n + 16 is
divisible by 5, where n is any positive integer.
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1 Answer. Given numbers are n, (n+ 4), (n + 8), (n + 12) and (n + 16), where n is any positive integer. ... We definitely get one and only one of given numbers is divisible by 5. Hence, one and only one out of n, n+ 4, n+ 8, n+12 and n+16 is divisible by 5.
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