# Q) If $$n$$ is a natural number , then the largest natural number by which $$n(n + 1 )(n + 2 )$$ is divisible, is 1) 6 2) 8 3) 12 4) 24

Since , $$n$$ is divisible by 2 , therefore $$(n + 2 )$$ is divisible by 4 , and hence $$n ( n + 2 )$$ is divisible by 8
Also $$n , n + 1 , n + 2$$ are three consecutive numbers and one of them is divisible by 3
hence , $$n(n + 1)(n + 2)$$ must be divisible by 24