Question

The product of two consecutive natural numbers is always ______

(A) An even number (B) An odd number (C) A prime number (D) Divisible by 3

Answer 1

The correct option is: (A) An even number
Explanation:
Let $n$ be a natural number, then $(n+1)$ will be a consecutive natural number.
$\Rightarrow$ Their product $=n(n+1)$
So, the product would always be an even number.
If $n$ is odd, then $n-1$ would be even, their product is even.
If $n$ is even, then $n-1$ would be odd, again their product is even.