Question

If $k$ is any even positive integer, then $(k^2+2k)$ is

• A. Divisible by $24$
• B. Divisible by $8$ but may not be divisible by $24$
• C. Divisible by $4$ but may not be divisible by $8$
• D. Divisible by $2$ but may not be divisible by $4$

Answer 1

The correct option is B Divisible by $8$ but may not be divisible by $24$

As 'k' is even +ve integer

$\Rightarrow k^2$ is a multiple of '4'

Also $2k$ is a multiple of '4'

$\Rightarrow (k^2+2k)$ is a multiple of $8$