1.

Show that one and only one out of n, n+2, n+4 is divisible by 3 , where n is any positive integer

Answer»

Every integer can be represented in the form of n, n+1,n+2; where n is also an integer.

n+4 can also be represented by n+1.

Out of every three consecutive integers, only 1 number is divisible by 3. So, out of three consecutive numbers n, n+4, n+2, only one is divisible by 3.

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