Question

If n is any natural number, which of the following is an odd number ?

n+1 , n-1 , 3n-1 , 2n-1​

Answer 1

Answer:

2n-1 is the right answer I think so

Answer 2

ANSWER

Out of n and n+2, one is divisible by 2 and the other by 4, hence n(n+2) is divisible by 8.

Also n,n+1,n+2 are three consecutive numbers, hence one of them is divisible by 3.

Hence, n(n+1)(n+2) must be divisible by 24. This will be true for any even number n