Question

If the sum $S$ of three consecutive even numbers is a perfect square between $200and400$, then the square root of $S$ is

• A. $15$
• B. $16$
• C. $18$
• D. $19$

Answer 1

The correct option is C $18$

${15}^2=225,{16}^2=256$
${17}^2=281{18}^2=324$
${19}^2=361$
$2x-2+2x+2x+2=6\left(x\right)$
$\Rightarrow 6x=324$ is possible
$\Rightarrow \sqrt{324}=18$

Therefore,square root of $S$ is $18$